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Asc: 311313313 Desc: 313131313","size":11,"tune":440,"center":69,"range":1200,"cents":[0,189.47368,252.63158,315.78947,505.26316,568.42105,631.57895,694.73684,757.89474,947.36842,1010.52632]},"11-23":{"description":"11 out of 23-tET, Dan Stearns","size":11,"tune":440,"center":69,"range":1200,"cents":[0,104.34783,208.69565,313.04348,417.3913,521.73913,678.26087,782.6087,886.95652,991.30435,1095.65217]},"11-31":{"description":"Jon Wild, 11 out of 31-tET, g=7/6, TL 9-9-1999","size":11,"tune":440,"center":69,"range":1200,"cents":[0,116.12903,232.25806,387.09677,503.22581,541.93548,658.06452,774.19355,929.03226,1045.16129,1161.29032]},"11-34":{"description":"Erv Wilson, 11 out of 34-tET, chain of minor thirds, Kleismic-11","size":11,"tune":440,"center":69,"range":1200,"cents":[0,70.58824,247.05882,317.64706,494.11765,564.70588,635.29412,811.76471,882.35294,952.94118,1129.41176]},"11-37":{"description":"Jake Freivald, 11 out of 37-tET, g=11/8, TL 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circulating in the style of Rameau's Modified Meantone Temperament","size":12,"tune":440,"center":69,"range":1200,"cents":[0,84.36,192.18,292.18,386.3137138648348,498.04499913461245,584.35871,696.09,788.27,888.27,996.0899982692251,1088.2687147302222]},"12-yarman24c":{"description":"12-tones out of Yarman24c, circulating in the style of Rameau's Modified Meantone Temperament","size":12,"tune":440,"center":69,"range":1200,"cents":[0,85.05893,191.77076,292.41297,383.5415210401936,498.04499913461245,581.3819,695.88538,788.73595,887.65614,996.0899982692251,1085.4965219055812]},"12-yarman24d":{"description":"12-tones out of Yarman24d, circulating in the style of Rameau's Modified Meantone Temperament","size":12,"tune":440,"center":69,"range":1200,"cents":[0,83.32982,190.84857,291.83661,381.69714,498.04499913461245,579.07643,695.42429,787.58321,886.27286,996.0899982692251,1083.65214]},"13-19":{"description":"13 out of 19-tET, 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Paul Erlich (1996)","size":14,"tune":440,"center":69,"range":1200,"cents":[0,92.30769,184.61538,276.92308,369.23077,461.53846,507.69231,600,692.30769,784.61538,876.92308,969.23077,1061.53846,1153.84615]},"14-26a":{"description":"Two interlaced diatonic in 26-tET, maximally even. Paul Erlich (1996)           ","size":14,"tune":440,"center":69,"range":1200,"cents":[0,92.30769,184.61538,276.92308,369.23077,461.53846,553.84615,600,692.30769,784.61538,876.92308,969.23077,1061.53846,1153.84615]},"15-37":{"description":"Miller's Porcupine-15","size":15,"tune":440,"center":69,"range":1200,"cents":[0,97.2973,162.16216,259.45946,324.32432,421.62162,486.48649,583.78378,648.64865,745.94595,810.81081,908.10811,972.97297,1070.27027,1135.13514]},"15-46":{"description":"Valentine[15] in 46-et tuning","size":15,"tune":440,"center":69,"range":1200,"cents":[0,78.26087,156.521739,234.782609,313.043478,391.304348,469.565217,547.826087,626.086957,704.347826,782.608696,886.956522,965.217391,1043.478261,1121.73913]},"16-139":{"description":"g=9 steps of 139-tET. Gene Ward Smith \"Quartaminorthirds\" 7-limit temperament","size":16,"tune":440,"center":69,"range":1200,"cents":[0,77.69784,155.39568,233.09353,310.79137,388.48921,466.18705,543.88489,621.58273,699.28058,776.97842,854.67626,932.3741,1010.07194,1087.76978,1165.46763]},"16-145":{"description":"Magic[16] in 145-tET","size":16,"tune":440,"center":69,"range":1200,"cents":[0,148.96552,206.89655,264.82759,322.75862,380.68966,438.62069,587.58621,645.51724,703.44828,761.37931,819.31034,968.27586,1026.2069,1084.13793,1142.06897]},"16-31":{"description":"Armodue semi-equalizzato","size":16,"tune":440,"center":69,"range":1200,"cents":[0,77.41935,154.83871,232.25806,309.67742,387.09677,464.51613,541.93548,619.35484,696.77419,774.19355,851.6129,929.03226,967.74194,1045.16129,1122.58065]},"17-31":{"description":"17 out of 31, with split C#/Db, D#/Eb, F#/Gb, G#/Ab and A#/Bb","size":17,"tune":440,"center":69,"range":1200,"cents":[0,77.41935,116.12903,193.54839,270.96774,309.67742,387.09677,503.22581,580.64516,619.35484,696.77419,774.19355,812.90323,890.32258,967.74194,1006.45161,1083.87097]},"17-53":{"description":"17 out of 53-tET, Arabic Pythagorean scale, Safiyudd�n Al-Urmaw� (Safi al-Din)","size":17,"tune":440,"center":69,"range":1200,"cents":[0,90.56604,181.13208,203.77358,294.33962,384.90566,407.54717,498.11321,588.67925,679.24528,701.88679,792.45283,883.01887,905.66038,996.22642,1086.79245,1177.35849]},"19-31":{"description":"19 out of 31-tET, meantone Gb-B#","size":19,"tune":440,"center":69,"range":1200,"cents":[0,77.41935,116.12903,193.54839,270.96774,309.67742,387.09677,464.51613,503.22581,580.64516,619.35484,696.77419,774.19355,812.90323,890.32258,967.74194,1006.45161,1083.87097,1161.29032]},"19-31ji":{"description":"A septimal interpretation of 19 out of 31 tones, after Wilson, XH7+8            ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,203.91000173077484,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,813.6862861351652,884.3587129994474,968.8259064691249,996.0899982692251,1088.2687147302222,1137.0390961270373]},"19-36":{"description":"19 out of 36-tET, Tomasz Liese, Tuning List, 1997","size":19,"tune":440,"center":69,"range":1200,"cents":[0,66.66667,133.33333,200,266.66667,333.33333,400,466.66667,500,566.66667,633.33333,700,766.66667,833.33333,900,966.66667,1033.33333,1100,1133.33333]},"19-50":{"description":"19 out of 50-tET, meantone Gb-B#","size":19,"tune":440,"center":69,"range":1200,"cents":[0,72,120,192,264,312,384,456,504,576,624,696,768,816,888,960,1008,1080,1152]},"19-53":{"description":"19 out of 53-tET, Larry H. 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1.3.5.7.9.11.13.15 56-any, 1.3.5 tonic, only 48 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This is the harmonic form of AugTetI                                   ","size":6,"tune":440,"center":69,"range":1034.995771500078,"cents":[0,203.91000173077484,386.3137138648348,551.3179423647567,648.6820576352434,852.5920593660182]},"avg_bac":{"description":"Average Bac System                                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,281.35830436442757,498.04499913461245,701.9550008653874,884.3587129994474,983.313305229815]},"avicenna_17":{"description":"Tuning by Avicenna (Ibn Sina), Ahmed Mahmud Hifni, Cairo, 1977","size":17,"tune":440,"center":69,"range":1200,"cents":[0,111.30856910382293,138.57266090392307,203.91000173077484,294.13499740383764,342.482662634698,407.8200034615497,498.04499913461245,609.3535682384356,636.6176600385357,701.9550008653874,792.1799965384502,840.5276617693106,905.8650025961623,996.0899982692251,1107.398567373048,1134.6626591731483]},"avicenna_19":{"description":"Arabic scale by Ibn Sina                                                        ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,138.99537706987812,203.91000173077484,294.13499740383764,384.35999307690076,407.8200034615497,498.04499913461245,546.8153805314276,611.7300051923246,637.0403762044907,701.9550008653874,792.1799965384502,840.9503779352654,905.8650025961623,996.0899982692251,1044.8603796660404,1109.775004326937,1133.2350147115862]},"avicenna_chrom":{"description":"Dorian mode a chromatic genus of Avicenna                                       ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,48.77038139681492,231.17409353087498,498.04499913461245,701.9550008653874,750.7253822622025,933.1290943962623]},"avicenna_chrom2":{"description":"Dorian Mode, a 1:2 Chromatic, 4 + 18 + 8 parts","size":7,"tune":440,"center":69,"range":1200,"cents":[0,66.66667,366.66667,500,700,766.66667,1066.66667]},"avicenna_chrom3":{"description":"Avicenna's Chromatic permuted                                                   ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,449.2746177377975,498.04499913461245,701.9550008653874,884.3587129994474,1151.229618603185]},"avicenna_diat":{"description":"A soft diatonic genus of Avicenna                                   ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,128.29824469981426,266.87090560373764,498.04499913461245,701.9550008653874,830.2532455652018,968.8259064691249]},"avicenna_diat2":{"description":"A soft diatonic genus of Avicenna (Ibn Sina)","size":7,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,231.17409353087498,498.04499913461245,701.9550008653874,884.3587129994474,933.1290943962623]},"avicenna_diff":{"description":"Difference tones of Avicenna's Soft diatonic reduced by 2/1                     ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,155.13962033395975,203.91000173077484,297.5130161323026,470.7809073345124,590.2237155956096,701.9550008653874,737.6518129382499,905.8650025961623,968.8259064691249,1172.7359081998998]},"avicenna_enh":{"description":"Dorian mode of Avicenna's (Ibn Sina) Enharmonic genus                           ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,43.83105123013666,111.73128526977776,498.04499913461245,701.9550008653874,745.7860520955244,813.6862861351652]},"awad":{"description":"d'Erlanger vol.5, p. 37, after Mans.ur 'Awad","size":24,"tune":440,"center":69,"range":1200,"cents":[0,43.83105123013666,88.80069773253213,134.96967511009518,182.40371213406007,231.17409353087498,281.35830436442757,333.0407706346908,386.3137138648348,441.2781414005845,498.04499913461245,546.8153805314276,596.9995913649802,648.6820576352434,701.9550008653874,745.7860520955244,790.7556985979196,836.9246759754826,884.3587129994474,933.1290943962623,983.313305229815,1034.995771500078,1088.2687147302222,1143.2331422659722]},"awraamoff":{"description":"Awraamoff Septimal Just (1920)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,231.17409353087498,315.64128700055255,386.3137138648348,470.7809073345124,498.04499913461245,701.9550008653874,813.6862861351652,933.1290943962623,968.8259064691249,1088.2687147302222]},"ayers_19":{"description":"Lydia Ayers, NINETEEN, for 19 for the 90's CD. 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","size":7,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,231.17409353087498,498.04499913461245,701.9550008653874,905.8650025961623,933.1290943962623]},"barbour_chrom3p2":{"description":"permuted Barbour's #3 Chromatic                                                 ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,266.87090560373764,294.13499740383764,498.04499913461245,701.9550008653874,968.8259064691249,996.0899982692251]},"barbour_chrom4":{"description":"Barbour's #4 Chromatic","size":7,"tune":440,"center":69,"range":1200,"cents":[0,21.50628959671478,203.91000173077484,498.04499913461245,701.9550008653874,723.4612904621023,905.8650025961623]},"barbour_chrom4p":{"description":"permuted Barbour's #4 Chromatic                                                 ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,203.91000173077484,498.04499913461245,701.9550008653874,884.3587129994474,905.8650025961623]},"barbour_chrom4p2":{"description":"permuted Barbour's #4 Chromatic                                                 ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,294.13499740383764,315.64128700055255,498.04499913461245,701.9550008653874,996.0899982692251,1017.5962878659401]},"barca":{"description":"Barca                                                                           ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.18,197.39333,296.09,393.48333,498.04499913461245,590.225,698.045,794.135,895.43833,996.0899982692251,1091.52833]},"barca_a":{"description":"Barca A                                                                         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Arabic scale                                     ","size":27,"tune":440,"center":69,"range":1200,"cents":[0,23.460010384649014,90.22499567306306,113.68500605771193,180.44999134612573,203.91000173077484,227.37001211542386,294.13499740383764,317.5950077884867,384.35999307690076,407.8200034615497,498.04499913461245,521.5050095192616,588.2699948076753,611.7300051923246,678.4949904807384,701.9550008653874,725.4150112500364,792.1799965384502,815.6400069230993,882.4049922115132,905.8650025961623,996.0899982692251,1019.5500086538742,1086.314993942288,1109.775004326937,1176.539989615351]},"barlow_13":{"description":"7-limit rational 13-equal, Barlow, On the Quantification of Harmony and Metre","size":13,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,203.91000173077484,266.87090560373764,386.3137138648348,470.7809073345124,546.8153805314276,638.9940969924247,723.4612904621023,813.6862861351652,933.1290943962623,1017.5962878659401,1109.775004326937]},"barlow_17":{"description":"11-limit rational 17-equal, Barlow, On the Quantification of Harmony and Metre","size":17,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,133.23757486649274,203.91000173077484,294.13499740383764,347.40794063398204,427.3725722703304,498.04499913461245,568.7174259988948,631.2825740011052,701.9550008653874,772.6274277296696,852.5920593660182,905.8650025961623,996.0899982692251,1066.7624251335073,1129.3275731357178]},"barnes":{"description":"John Barnes' temperament (1977) made after analysis of Wohltemperierte Klavier, 1/6 P","size":12,"tune":440,"center":69,"range":1200,"cents":[0,94.135,196.09,298.045,392.18,501.955,592.18,698.045,796.09,894.135,1000,1094.135]},"barnes2":{"description":"John Barnes' temperament (1971), 1/8 P","size":12,"tune":440,"center":69,"range":1200,"cents":[0,96.09,198.045,297.0675,396.09,500.9775,594.135,699.0225,798.045,897.0675,999.0225,1095.1125]},"barton":{"description":"Jacob Barton, tetratetradic scale on 6:7:9:11","size":12,"tune":440,"center":69,"range":1200,"cents":[0,116.23384710310677,150.6370585006306,203.91000173077484,266.87090560373764,417.50796410436817,551.3179423647567,701.9550008653874,852.5920593660182,898.7258829987387,968.8259064691249,1049.3629414993693]},"barton2":{"description":"Jacob Barton, mode of 88CET, TL 17-01-2007","size":11,"tune":440,"center":69,"range":1408,"cents":[0,176,264,440,528,616,792,880,1056,1144,1320]},"battaglia_16":{"description":"Mike Battaglia 5-limit 16-tone scale","size":16,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,182.40371213406007,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,905.8650025961623,996.0899982692251,1017.5962878659401,1088.2687147302222]},"baumeister":{"description":"In 1988 observed temperament of organ in Maihingen by Johann Martin Baumeister (1737)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,84.94649,199.218,306.4515,386.70599,500.9775,582.99149,701.9550008653874,781.03649,896.481,994.3305,1085.72849]},"beardsley_8":{"description":"David Beardsley's scale used in \"Sonic Bloom\" (1999)","size":8,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,266.87090560373764,435.0840952616501,551.3179423647567,701.9550008653874,840.5276617693106,968.8259064691249]},"bedos":{"description":"Temperament of Dom Fran�ois B�dos de Celles (1770), after M. 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The CI is 19/16                                           ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,200.5319830023099,498.04499913461245,701.9550008653874,792.1799965384502,902.4869838676973]},"boeth_enh":{"description":"Boethius's Enharmonic, with a CI of 81/64 and added 16/9                        ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,44.524793595287214,90.22499567306306,498.04499913461245,701.9550008653874,746.4797944606748,792.1799965384502,996.0899982692251]},"bohlen-eg":{"description":"Bohlen-Pierce with two tones altered by minor BP diesis, slightly more equal","size":13,"tune":440,"center":69,"range":1901.9550008653873,"cents":[0,147.42809734264006,301.84652039515726,435.0840952616501,582.51219260429,736.9306156568072,884.3587129994474,1017.5962878659401,1165.02438520858,1319.442808261097,1466.8709056037378,1600.1084804702305,1754.5269035227475]},"bohlen-p":{"description":"See Bohlen, H. 13-Tonstufen in der Duodezime, Acustica 39: 76-86 (1978)         ","size":13,"tune":440,"center":69,"range":1901.9550008653873,"cents":[0,133.23757486649274,301.84652039515726,435.0840952616501,582.51219260429,736.9306156568072,884.3587129994474,1017.5962878659401,1165.02438520858,1319.442808261097,1466.8709056037378,1600.1084804702305,1768.717425998895]},"bohlen-p_9":{"description":"Bohlen-Pierce subscale by J.R. 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Burt's 13diatsub #1                                                          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,67.90023403964102,138.57266090392307,212.25331450089502,289.209719404554,454.2139479044758,543.014645637008,636.6176600385357,800.909593095755,840.5276617693106,952.2589470390885,1071.7017553001858]},"burt10":{"description":"W. Burt's 19enhsub #10                                                          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,22.930587537245685,46.16897737756276,69.72354547628183,93.6030144015278,528.6871096631778,591.6480135361404,656.9853543629919,673.7123835124405,690.602605766508,707.659236830149,724.8855884026331]},"burt11":{"description":"W. Burt's 19enhharm #11                                                         ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,475.11441159736717,492.3407631698512,509.39739423349204,526.2876164875596,543.014645637008,608.3519864638596,671.3128903368223,1106.3969855984722,1130.276454523718,1153.8310226224373,1177.0694124627544]},"burt12":{"description":"W. Burt's 19diatharm #12                                                        ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,253.80492623245422,330.7613311361128,404.4419847330848,475.11441159736717,543.014645637008,608.3519864638596,671.3128903368223,902.4869838676973,1007.4423933681048,1106.3969855984722,1153.8310226224373]},"burt13":{"description":"W. Burt's 23diatsub #13                                                         ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,76.95640490365868,157.49343993390326,199.2119417267152,241.96063340358052,424.3643455376405,523.3189377680083,628.2743472684155,740.0056325381934,859.4484407992906,922.4093446722533,987.746685499105]},"burt14":{"description":"W. Burt's 23enhsub #14                                                          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,18.92077902997986,38.050631672805665,57.394230108738284,76.95640490365868,424.3643455376405,523.3189377680083,628.2743472684155,655.5384390685156,683.2387748041652,711.3895421929518,740.0056325381934]},"burt15":{"description":"W. Burt's 23enhharm #15                                                         ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,459.99436746180675,488.61045780704796,516.7612251958349,544.4615609314845,571.7256527315844,676.6810622319916,775.6356544623594,1123.0435950963413,1142.6057698912618,1161.9493683271942,1181.07922097002]},"burt16":{"description":"W. Burt's 23diatharm #16                                                        ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,212.25331450089502,277.59065532774696,340.5515592007096,459.99436746180675,571.7256527315844,676.6810622319916,775.6356544623594,958.0393665964193,1000.7880582732848,1042.5065600660967,1123.0435950963413]},"burt17":{"description":"W. 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Burt's 13enhsub #2                                                           ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,16.72702914944853,33.61725140351577,50.67388246715695,67.90023403964102,454.2139479044758,475.99076395678696,498.04499913461245,520.383812935429,543.014645637008,787.2547185391664,1071.7017553001858]},"burt20":{"description":"Warren Burt tuning for \"Commas\" (1993). 1/1=263 Hz, XH 16","size":12,"tune":440,"center":69,"range":1200,"cents":[0,48.77038139681492,111.73128526977776,113.68500605771193,203.91000173077484,225.41629132748983,405.8662826736155,429.3262930582646,590.2237155956096,631.2825740011052,786.4221943350649,813.6862861351652]},"burt3":{"description":"W. Burt's 13enhharm #3                                                          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,128.29824469981426,412.74528146083344,656.9853543629919,679.6161870645711,701.9550008653874,724.0092360432128,745.7860520955244,1132.099765960359,1149.326117532843,1166.3827485964841,1183.2729708505517]},"burt4":{"description":"W. Burt's 13diatharm #4, see his post 3/30/94 in Tuning Digest #57              ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,128.29824469981426,247.7410529609115,359.4723382306895,464.42774773109676,563.3823399614643,656.9853543629919,745.7860520955244,910.7902805954461,987.746685499105,1061.427339096077,1132.099765960359]},"burt5":{"description":"W. Burt's 17diatsub #5                                                          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,216.686694770185,336.12950303128224,464.42774773109676,603.00040863502,676.6810622319916,753.6374671356506,834.174502165895,918.6416956355724,1007.4423933681048,1101.0454077696324]},"burt6":{"description":"W. Burt's 17enhsub #6                                                           ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,25.648380951080444,51.68246627026313,78.11403386626198,104.95540950040728,603.00040863502,676.6810622319916,753.6374671356506,773.4232144819334,793.4377038578897,813.6862861351652,834.174502165895]},"burt7":{"description":"W. Burt's 17enhharm #7                                                          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,365.82549783410514,386.3137138648348,406.56229614211014,426.5767855180666,446.3625328643495,523.3189377680083,596.9995913649802,1095.044590499593,1121.8859661337383,1148.3175337297369,1174.3516190489197]},"burt8":{"description":"W. Burt's 17diatharm #8, harmonics 16 to 32","size":12,"tune":440,"center":69,"range":1200,"cents":[0,98.95459223036757,192.55760663189534,281.35830436442757,365.82549783410514,446.3625328643495,523.3189377680083,596.9995913649802,735.5722522689033,863.8704969687176,983.313305229815,1095.044590499593]},"burt9":{"description":"W. Burt's 19diatsub #9                                                          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,46.16897737756276,93.6030144015278,192.55760663189534,297.5130161323026,528.6871096631778,591.6480135361404,656.9853543629919,724.8855884026331,795.5580152669153,869.2386688638873,946.1950737675459]},"burt_fibo":{"description":"Warren Burt, 3/2+5/3+8/5+etc. \"Recurrent Sequences\", 2002","size":12,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,203.91000173077484,303.19851894029836,386.3137138648348,470.7809073345124,570.8801171596773,670.1048559223972,701.9550008653874,840.5276617693106,937.6316562295916,1037.0233735851364]},"burt_fibo23":{"description":"Warren Burt, 23-tone Fibonacci scale. \"Recurrent Sequences\", 2002","size":23,"tune":440,"center":69,"range":1200,"cents":[0,35.55879365296499,104.95540950040728,134.82966181205592,203.91000173077484,234.10055204761562,303.19851894029836,386.3137138648348,402.4684256327099,470.7809073345124,501.7393694489859,570.8801171596773,601.0102554683152,670.1048559223972,701.9550008653874,769.3783168934792,840.5276617693106,868.6490626366793,937.6316562295916,967.9199596942431,1037.0233735851364,1067.190848319346,1136.2875293476773]},"burt_forks":{"description":"Warren Burt, 19-tone Forks. 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Secor, blarney.txt)","size":10,"tune":440,"center":69,"range":1200,"cents":[0,128.29824469981426,231.17409353087498,359.4723382306895,498.04499913461245,626.343243834427,701.9550008653874,830.2532455652018,933.1290943962623,1061.427339096077]},"c1029cp":{"description":"1029/1024 comma pump scale in 190-tET","size":16,"tune":440,"center":69,"range":1200,"cents":[0,82.10526,202.10526,233.68421,385.26316,467.36842,618.94737,701.05263,783.15789,852.63158,884.21053,934.73684,966.31579,1086.31579,1117.89474,1168.42105]},"c10976cp":{"description":"10976/10935 comma pump scale in 695-tET","size":28,"tune":440,"center":69,"range":1200,"cents":[0,60.43165,120.86331,145.03597,205.46763,265.89928,326.33094,386.76259,436.83453,447.19424,471.36691,497.26619,531.79856,557.69784,581.8705,592.23022,642.30216,702.73381,763.16547,823.59712,884.02878,908.20144,968.63309,1029.06475,1079.13669,1089.4964,1139.56835,1149.92806]},"c126cp":{"description":"126/125 comma pump scale in 185-tET","size":11,"tune":440,"center":69,"range":1200,"cents":[0,45.40541,77.83784,123.24324,311.35135,389.18919,467.02703,622.7027,700.54054,966.48649,1011.89189]},"c1728cp":{"description":"1728/1715 comma pump scale in 111-tET","size":14,"tune":440,"center":69,"range":1200,"cents":[0,43.24324,270.27027,313.51351,389.18919,540.54054,583.78378,659.45946,702.7027,810.81081,854.05405,929.72973,972.97297,1124.32432]},"c225cp":{"description":"225/224 comma pump scale in 197-tET","size":12,"tune":440,"center":69,"range":1200,"cents":[0,115.73604,152.28426,268.0203,383.75635,499.49239,584.77157,700.50761,767.51269,852.79188,968.52792,1084.26396]},"c3136cp":{"description":"3136/3125 comma pump scale in 446-tET","size":20,"tune":440,"center":69,"range":1200,"cents":[0,121.07623,156.05381,193.72197,266.36771,277.13004,314.79821,387.44395,508.52018,581.16592,702.24215,774.88789,812.55605,895.96413,968.60987,1006.27803,1078.92377,1089.6861,1127.35426,1162.33184]},"c385cp":{"description":"385/384 comma pump scale in 284-tET","size":16,"tune":440,"center":69,"range":1200,"cents":[0,50.70423,202.8169,283.09859,316.90141,384.50704,435.21127,549.29577,701.40845,752.11268,781.69014,866.19718,933.80282,967.60563,1047.88732,1098.59155]},"c5120cp":{"description":"5120/5103 comma pump scale in 391-tET","size":28,"tune":440,"center":69,"range":1200,"cents":[0,70.58824,85.9335,95.14066,156.52174,181.07417,205.6266,291.5601,300.76726,386.70077,411.2532,472.63427,497.1867,567.77494,592.32737,653.70844,678.26087,702.8133,788.7468,797.95396,883.88747,908.4399,969.82097,1028.13299,1089.51407,1114.0665,1150.89514,1175.44757]},"c6144cp":{"description":"6144/6125 comma pump scale in 381-tET","size":21,"tune":440,"center":69,"range":1200,"cents":[0,47.24409,85.03937,119.68504,157.48031,204.72441,277.16535,314.96063,387.40157,434.64567,472.44094,544.88189,655.11811,702.3622,774.80315,859.84252,932.28346,970.07874,1017.32283,1089.76378,1127.55906]},"c64827cp":{"description":"64827/64000 comma pump scale in 122-tET","size":16,"tune":440,"center":69,"range":1200,"cents":[0,147.54098,226.22951,304.91803,383.60656,462.29508,540.98361,619.67213,649.18033,698.36066,727.86885,806.55738,885.2459,963.93443,1042.62295,1121.31148]},"cairo":{"description":"d'Erlanger vol.5, p. 42. Congress of Arabic Music, Cairo, 1932","size":26,"tune":440,"center":69,"range":1200,"cents":[0,50.591607952520675,92.81452070021811,149.06392431781447,199.8031957681981,241.89138542656823,292.59680623284163,305.97342115528244,348.8512371319705,391.08116575474344,441.724969135435,498.04499913461245,540.1013356536535,590.2507663389607,647.1718213815177,701.9550008653874,739.4055754050783,797.1457076154458,808.1551822320578,851.2076258263736,901.7581966335856,946.3367259846847,1009.9955673994793,1050.8062379973583,1092.6022189930768,1158.9411415945044]},"cal46":{"description":"Gene Ward Smith, 46 note scale for Caleb","size":46,"tune":440,"center":69,"range":1200,"cents":[0,22.9251,56.2576,80.6369,104.0612,126.6171,160.4026,184.7357,208.171,231.9308,263.2192,288.7711,311.2289,336.7808,368.0692,391.829,415.2643,439.5974,473.3829,495.9388,519.3631,543.7424,577.0749,600,622.9251,656.2576,680.6369,704.0612,726.6171,760.4026,784.7357,808.171,831.9308,863.2192,888.7711,911.2289,936.7808,968.0692,991.829,1015.2643,1039.5974,1073.3829,1095.9388,1119.3631,1143.7424,1177.0749]},"canright":{"description":"David Canright's piano tuning for \"Fibonacci Suite\" (2001). Also 84-tET version of 11-limit \"Orwell\"","size":9,"tune":440,"center":69,"range":1200,"cents":[0,157.14286,271.42857,428.57143,542.85714,700,814.28571,971.42857,1085.71429]},"cantonpenta":{"description":"Freivald's Canton scale in 13-limit pentacircle (351/350 and 364/363) temperament, 271-tET","size":12,"tune":440,"center":69,"range":1200,"cents":[0,128.41328,208.11808,287.82288,416.23616,495.94096,575.64576,704.05904,783.76384,912.17712,991.88192,1071.58672]},"capurso":{"description":"Equal temperament with equal beating 3/1 = 4/1 opposite (2009). Circular Harmonic System C.HA.S.","size":12,"tune":440,"center":69,"range":1200.45982,"cents":[0,100.03832,200.07664,300.11496,400.15327,500.19159,600.22991,700.26823,800.30655,900.34487,1000.38318,1100.4215]},"carlos_alpha":{"description":"Wendy Carlos' Alpha scale with perfect fifth divided in nine","size":18,"tune":440,"center":69,"range":1404,"cents":[0,78,156,234,312,390,468,546,624,702,780,858,936,1014,1092,1170,1248,1326]},"carlos_alpha2":{"description":"Wendy Carlos' Alpha prime scale with perfect fifth divided by eightteen","size":36,"tune":440,"center":69,"range":1404,"cents":[0,39,78,117,156,195,234,273,312,351,390,429,468,507,546,585,624,663,702,741,780,819,858,897,936,975,1014,1053,1092,1131,1170,1209,1248,1287,1326,1365]},"carlos_beta":{"description":"Wendy Carlos' Beta scale with perfect fifth divided by eleven","size":22,"tune":440,"center":69,"range":1403.6,"cents":[0,63.8,127.6,191.4,255.2,319,382.8,446.6,510.4,574.2,638,701.8,765.6,829.4,893.2,957,1020.8,1084.6,1148.4,1212.2,1276,1339.8]},"carlos_beta2":{"description":"Wendy Carlos' Beta prime scale with perfect fifth divided by twentytwo","size":44,"tune":440,"center":69,"range":1403.6,"cents":[0,31.9,63.8,95.7,127.6,159.5,191.4,223.3,255.2,287.1,319,350.9,382.8,414.7,446.6,478.5,510.4,542.3,574.2,606.1,638,669.9,701.8,733.7,765.6,797.5,829.4,861.3,893.2,925.1,957,988.9,1020.8,1052.7,1084.6,1116.5,1148.4,1180.3,1212.2,1244.1,1276,1307.9,1339.8,1371.7]},"carlos_gamma":{"description":"Wendy Carlos' Gamma scale with third divided by eleven or fifth by twenty       ","size":35,"tune":440,"center":69,"range":1228.465,"cents":[0,35.099,70.198,105.297,140.396,175.495,210.594,245.693,280.792,315.891,350.99,386.089,421.188,456.287,491.386,526.485,561.584,596.683,631.782,666.881,701.98,737.079,772.178,807.277,842.376,877.475,912.574,947.673,982.772,1017.871,1052.97,1088.069,1123.168,1158.267,1193.366]},"carlos_harm":{"description":"Carlos Harmonic & Ben Johnston's scale of 'Blues' from Suite f.micr.piano (1977) & David Beardsley's scale of 'Science Friction'","size":12,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,203.91000173077484,297.5130161323026,386.3137138648348,470.7809073345124,551.3179423647567,701.9550008653874,840.5276617693106,905.8650025961623,968.8259064691249,1088.2687147302222]},"carlos_super":{"description":"Carlos Super Just                                                               ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,551.3179423647567,701.9550008653874,840.5276617693106,884.3587129994474,968.8259064691249,1088.2687147302222]},"carlson":{"description":"Brian Carlson's guitar scale (or 7 is 21/16 instead) fretted by Mark Rankin     ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,155.13962033395975,203.91000173077484,266.87090560373764,315.64128700055255,386.3137138648348,449.2746177377975,498.04499913461245,582.51219260429,653.1846194685722,701.9550008653874,764.9159047383502,813.6862861351652,884.3587129994474,968.8259064691249,1017.5962878659401,1088.2687147302222,1151.229618603185]},"cartwheel":{"description":"Andrew Heathwite's 13-limit wakalix","size":17,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,138.57266090392307,203.91000173077484,266.87090560373764,347.40794063398204,386.3137138648348,498.04499913461245,551.3179423647567,636.6176600385357,701.9550008653874,764.9159047383502,840.5276617693106,884.3587129994474,968.8259064691249,1049.3629414993693,1088.2687147302222]},"cassandra1":{"description":"Cassandra temperament (Erv Wilson), 13-limit, g=497.866, aka Schismic, Garibaldi and Andromeda","size":41,"tune":440,"center":69,"range":1200,"cents":[0,25.60083,63.73216,89.33299,114.93381,140.53464,178.66598,204.2668,229.86763,267.99897,293.59979,319.20062,344.80144,382.93278,408.53361,434.13443,472.26577,497.8666,523.46742,549.06825,587.19959,612.80041,638.40124,676.53258,702.1334,727.73423,765.86557,791.46639,817.06722,842.66804,880.79938,906.40021,932.00103,970.13237,995.7332,1021.33402,1046.93485,1085.06619,1110.66701,1136.26784,1174.39917]},"cassandra2":{"description":"Cassandra temperament, schismic variant, 13-limit, g=497.395","size":41,"tune":440,"center":69,"range":1200,"cents":[0,24.44514,55.70922,86.9733,111.41844,142.68252,173.9466,198.39174,229.65582,260.9199,292.18398,316.62912,347.8932,379.15728,403.60242,434.8665,466.13058,497.39466,521.8398,553.10388,584.36796,608.8131,640.07718,671.34126,702.60534,727.05048,758.31456,789.57864,814.02378,845.28786,876.55194,900.99708,932.26116,963.52524,994.78932,1019.23446,1050.49854,1081.76262,1106.20776,1137.47184,1168.73592]},"cassmagmirrod":{"description":"Cassandra-magic-miracle-rodan Fokker block 385/384, 441/440, 225/224, 896/891 all generators -20..20","size":41,"tune":440,"center":69,"range":1200,"cents":[0,31.19425023953323,62.960903872962575,84.46719346967761,111.73128526977776,150.6370585006306,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,294.13499740383764,315.64128700055255,347.40794063398204,386.3137138648348,417.50796410436817,435.0840952616501,470.7809073345124,498.04499913461245,529.2392493741461,551.3179423647567,582.51219260429,617.4878073957099,648.6820576352434,670.7607506258543,701.9550008653874,729.2190926654876,764.9159047383502,782.4920358956317,813.6862861351652,852.5920593660182,884.3587129994474,905.8650025961623,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401,1049.3629414993693,1088.2687147302222,1115.5328065303224,1137.0390961270373,1168.8057497604666]},"cassmagmonkrod":{"description":"Cassandra-magic-monkey-rodan Fokker block 385/384, 5120/5103, 100/99, 896/891 all generators -20..20","size":41,"tune":440,"center":69,"range":1200,"cents":[0,21.50628959671478,53.27294323014412,84.46719346967761,111.73128526977776,150.6370585006306,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,294.13499740383764,315.64128700055255,347.40794063398204,386.3137138648348,407.8200034615497,444.77205590446863,470.7809073345124,498.04499913461245,519.5512887313275,551.3179423647567,572.8242319614715,627.1757680385283,648.6820576352434,680.4487112686725,701.9550008653874,729.2190926654876,755.2279440955316,792.1799965384502,813.6862861351652,852.5920593660182,884.3587129994474,905.8650025961623,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401,1049.3629414993693,1088.2687147302222,1115.5328065303224,1146.7270567698558,1178.4937104032851]},"cassmagoctrod":{"description":"Cassandra-magic-octacot-rodan Fokker block 245/243, 441/440, 896/891, 100/99 all generators -20..20 (Paul Erlich, 1999)","size":41,"tune":440,"center":69,"range":1200,"cents":[0,21.50628959671478,62.960903872962575,84.46719346967761,102.04332462695923,150.6370585006306,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,284.44703676101926,315.64128700055255,347.40794063398204,386.3137138648348,417.50796410436817,435.0840952616501,470.7809073345124,498.04499913461245,519.5512887313275,551.3179423647567,582.51219260429,617.4878073957099,648.6820576352434,680.4487112686725,701.9550008653874,729.2190926654876,764.9159047383502,782.4920358956317,813.6862861351652,852.5920593660182,884.3587129994474,915.5529632389809,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401,1049.3629414993693,1097.9566753730408,1115.5328065303224,1137.0390961270373,1178.4937104032851]},"cassmagsuprod":{"description":"Cassandra-magic-superkliesmic-rodan Fokker block 385/384, 441/440, 100/99, 896/891 all generators 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Catakleismic[34]","size":17,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,140.94909785781223,203.91000173077484,266.87090560373764,372.12319138868736,435.0840952616501,498.04499913461245,561.0059030075751,638.9940969924247,701.9550008653874,764.9159047383502,827.8768086113128,933.1290943962623,996.0899982692251,1059.0509021421879,1137.0390961270373]},"catakleismic34trans":{"description":"Catakleismic[34] 2.5.7 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","size":24,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,111.73128526977776,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,342.905378800653,359.4723382306895,386.3137138648348,470.7809073345124,498.04499913461245,551.3179423647567,590.2237155956096,648.6820576352434,701.9550008653874,813.6862861351652,840.5276617693106,884.3587129994474,905.8650025961623,968.8259064691249,996.0899982692251,1061.427339096077,1088.2687147302222]},"cauldron":{"description":"Circulating temperament with two pure 9/7 thirds and 7 meantone, 2 slightly wide, 3 superpyth fifths","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.31346,189.20489,291.90367,378.40979,505.39755,567.61468,694.60245,781.10856,883.80734,1002.69878,1073.01223]},"cbrat19":{"description":"Circulating 19-tone temperament with exact brats, G.W. 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","size":13,"tune":440,"center":69,"range":1144,"cents":[0,88.21897,175.92057,264.4488,352.44257,439.93133,528.25538,616.05624,704.67971,792.76342,880.33719,968.7428,1056.62072]},"ceb88s":{"description":"88 cents steps with equal beating sevenths                                      ","size":14,"tune":440,"center":69,"range":1232,"cents":[0,88.05984,175.91216,264.14035,352.15228,439.95917,528.144,616.11482,703.88273,792.03035,879.96589,967.70033,1055.81601,1143.72127]},"ceb88t":{"description":"88 cents steps with equal beating 7/6 thirds                                    ","size":14,"tune":440,"center":69,"range":1232,"cents":[0,87.59652,175.92414,262.95957,350.74928,439.26203,526.47086,614.42684,703.09889,790.45689,878.55589,967.36495,1054.85122,1143.07317]},"cet10":{"description":"20th root of 9/8, on Antonio Soler's tuning box, afinador or 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1/pi^3","size":12,"tune":440,"center":69,"range":1200.5137,"cents":[0,100.04281,200.08562,300.12843,400.17123,500.21404,600.25685,700.29966,800.34247,900.38528,1000.42809,1100.47089]},"cet104":{"description":"23rd root of 4, T�tim Dennsuul","size":23,"tune":440,"center":69,"range":2400,"cents":[0,104.34783,208.69565,313.04348,417.3913,521.73913,626.08696,730.43478,834.78261,939.13043,1043.47826,1147.82609,1252.17391,1356.52174,1460.86957,1565.21739,1669.56522,1773.91304,1878.26087,1982.6087,2086.95652,2191.30435,2295.65217]},"cet104a":{"description":"38th root of 10","size":38,"tune":440,"center":69,"range":3986.3137138648353,"cents":[0,104.90299,209.80598,314.70898,419.61197,524.51496,629.41795,734.32095,839.22394,944.12693,1049.02992,1153.93292,1258.83591,1363.7389,1468.64189,1573.54489,1678.44788,1783.35087,1888.25386,1993.15686,2098.05985,2202.96284,2307.86583,2412.76883,2517.67182,2622.57481,2727.4778,2832.3808,2937.28379,3042.18678,3147.08977,3251.99277,3356.89576,3461.79875,3566.70174,3671.60474,3776.50773,3881.41072]},"cet105":{"description":"13th root of 11/5, has very good 6/5 and 13/8","size":13,"tune":440,"center":69,"range":1365.0042284999222,"cents":[0,105.00033,210.00065,315.00098,420.0013,525.00163,630.00195,735.00228,840.0026,945.00293,1050.00325,1155.00358,1260.0039]},"cet105a":{"description":"18th root of 3                                                                  ","size":18,"tune":440,"center":69,"range":1901.9550008653873,"cents":[0,105.66417,211.32833,316.9925,422.65667,528.32083,633.985,739.64917,845.31333,950.9775,1056.64167,1162.30583,1267.97,1373.63417,1479.29833,1584.9625,1690.62667,1796.29083]},"cet108":{"description":"4th root of 9/7, Chris Vaisvil","size":11,"tune":440,"center":69,"range":1196.48126,"cents":[0,108.77102,217.54205,326.31307,435.0840952616501,543.85512,652.62614,761.39717,870.1681905232999,978.93921,1087.71024]},"cet109":{"description":"LS optimal 11-tET 2.7.9.11.15.17 JI subgroup tuning","size":11,"tune":440,"center":69,"range":1198.10535,"cents":[0,108.91867,217.83734,326.756,435.67467,544.59334,653.51201,762.43068,871.34934,980.26801,1089.18668]},"cet11":{"description":"36th root of 5/4, Mohajeri 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Weiss","size":7,"tune":440,"center":69,"range":1200,"cents":[0,138.57266090392307,386.3137138648348,498.04499913461245,701.9550008653874,840.5276617693106,1088.2687147302222]},"chalmers":{"description":"Chalmers' 19-tone with more hexanies than Perrett's Tierce-Tone                 ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,111.73128526977776,203.91000173077484,266.87090560373764,315.64128700055255,386.3137138648348,470.7809073345124,498.04499913461245,582.51219260429,653.1846194685722,701.9550008653874,786.4221943350649,813.6862861351652,884.3587129994474,968.8259064691249,1017.5962878659401,1080.5571917389027,1172.7359081998998]},"chalmers_17":{"description":"7-limit figurative scale, Chalmers '96 Adnexed S&H decads                       ","size":17,"tune":440,"center":69,"range":1200,"cents":[0,48.77038139681492,155.13962033395975,203.91000173077484,315.64128700055255,386.3137138648348,435.0840952616501,470.7809073345124,631.2825740011052,666.2581887925251,701.9550008653874,737.6518129382499,772.6274277296696,933.1290943962623,968.8259064691249,1017.5962878659401,1088.2687147302222]},"chalmers_17marvwoo":{"description":"Marvel woo version of chalmers_17 ","size":17,"tune":440,"center":69,"range":1200.64322,"cents":[0,49.41539,151.28207,200.69746,316.92773,383.74261,433.158,468.2098,633.85547,665.61854,700.67034,735.72214,767.48522,933.13088,968.18268,1017.59808,1084.41295]},"chalmers_19":{"description":"7-limit figurative scale. Reversed S&H decads                                   ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,48.77038139681492,182.40371213406007,203.91000173077484,266.87090560373764,315.64128700055255,435.0840952616501,498.04499913461245,533.741811207475,568.7174259988948,631.2825740011052,666.2581887925251,701.9550008653874,764.9159047383502,884.3587129994474,933.1290943962623,996.0899982692251,1017.5962878659401,1151.229618603185]},"chalmers_csurd":{"description":"Combined Surd Scale, combination of Surd and Inverted Surd, JHC, 26-6-97        ","size":15,"tune":440,"center":69,"range":1200,"cents":[0,75.90187,160.53817,256.34665,325.85509,366.90634,498.04499913461245,539.98536,660.01995,701.9550008653874,833.08148,874.14491,943.65335,1039.46183,1124.09813]},"chalmers_isurd":{"description":"Inverted Surd Scale, of the form 4/(SQRT(N)+1, JHC, 26-6-97                     ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,75.90187,160.53817,256.34665,366.90634,498.04499913461245,660.01995,874.14491]},"chalmers_ji1":{"description":"Based loosely on Wronski's and similar JI scales, May 2, 1997.                  ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,203.91000173077484,297.5130161323026,386.3137138648348,498.04499913461245,603.00040863502,701.9550008653874,795.5580152669153,884.3587129994474,999.46801699769,1088.2687147302222]},"chalmers_ji2":{"description":"Based loosely on Wronski's and similar JI scales, May 2, 1997.                  ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,203.91000173077484,297.5130161323026,386.3137138648348,498.04499913461245,603.00040863502,701.9550008653874,806.9104103657947,905.8650025961623,999.46801699769,1088.2687147302222]},"chalmers_ji3":{"description":"15 16 17 18 19 20 21 on 1/1, 15-20 on 3/2, May 2, 1997. See other scales        ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,216.686694770185,315.64128700055255,409.24430140208034,498.04499913461245,582.51219260429,701.9550008653874,813.6862861351652,918.6416956355724,1017.5962878659401,1111.1993022674676]},"chalmers_ji4":{"description":"15 16 17 18 19 20 on 1/1, same on 4/3, + 16/15 on 16/9                          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,216.686694770185,315.64128700055255,409.24430140208034,498.04499913461245,609.7762844043904,714.7316939047976,813.6862861351652,907.289300536693,996.0899982692251,1107.8212835390032]},"chalmers_surd":{"description":"Surd Scale, Surds of the form (SQRT(N)+1)/2, JHC, 26-6-97                       ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,325.85509,539.98536,701.9550008653874,833.08148,943.65335,1039.46183,1124.09813]},"chalmers_surd2":{"description":"Surd Scale, Surds of the form (SQRT(N)+1)/4","size":40,"tune":440,"center":69,"range":1200,"cents":[0,68.84785,131.88444,190.04384,244.04863,294.46971,341.76635,386.3137138648348,428.42236,468.35241,506.32393,542.52489,577.11709,610.24088,642.01879,672.55847,701.9550008653874,730.2928,757.64716,784.08555,809.66863,834.45119,858.48284,881.8087,904.46987,926.50396,947.94541,968.8259064691249,989.17461,1009.01845,1028.38235,1047.28941,1065.76109,1083.81735,1101.47681,1118.75684,1135.67369,1152.24258,1168.4778,1184.39273]},"chalung":{"description":"Tuning of chalung from Tasikmalaya, slendro-like. 1/1=185 Hz","size":11,"tune":440,"center":69,"range":2776.93031,"cents":[0,391.91944,562.34225,692.5716,1048.512,1213.98043,1569.38679,1772.45659,1984.19266,2253.61137,2413.98043]},"chan34":{"description":"34 note hanson based circulating scale with 15 pure major thirds and 18 -1 brats","size":34,"tune":440,"center":69,"range":1200,"cents":[0,34.49379908679159,68.57440836873674,106.48146410612088,137.56014228821343,178.61900069370918,207.33019365009596,248.3890520555919,280.0204948353497,317.5409997345843,352.6362348207776,386.3137138648348,424.51908884027335,454.88812223357144,495.94698063906696,526.8193828458915,564.9327145585439,598.0166728804282,634.7027659204267,671.0164208472736,703.8547135994191,742.6303464518888,772.6274277296696,813.6862861351652,844.4215738054539,882.260694503902,916.5670128388554,951.2464284233788,989.7721622200222,1021.0164797852615,1060.7208924222891,1090.1684274642537,1131.2272858697493,1162.2060307226532]},"chargah pentachord 7-limit":{"description":"Chargah pentachord 150:162:189:200:225","size":4,"tune":440,"center":69,"range":701.9550008653874,"cents":[0,133.23757486649274,400.1084804702302,498.04499913461245]},"chargah tetrachord 7-limit":{"description":"Chargah tetrachord 150:162:189:200","size":3,"tune":440,"center":69,"range":498.04499913461245,"cents":[0,133.23757486649274,400.1084804702302]},"chaumont":{"description":"Lambert Chaumont organ temperament (1695), 1st interpretation","size":12,"tune":440,"center":69,"range":1200,"cents":[0,76.049,193.15686,290.90905,386.3137138648348,503.42157,579.47057,696.57843,772.6274277296696,889.73529,997.16531,1082.89214]},"chaumont2":{"description":"Lambert Chaumont organ temperament (1695), 2nd interpretation","size":12,"tune":440,"center":69,"range":1200,"cents":[0,83.5762,195.30749,289.83374,390.61497,502.34626,585.92246,697.65374,781.22994,892.96123,996.0899982692251,1088.2687147302222]},"chimes":{"description":"Heavenly Chimes                                                                 ","size":3,"tune":440,"center":69,"range":170.42280584691346,"cents":[-1200,-1029.5771941530866,0]},"chimes_peck":{"description":"Kris Peck, 9-tone windchime tuning. TL 7-3-2001","size":8,"tune":440,"center":69,"range":2400,"cents":[0,386.3137138648348,701.9550008653874,968.8259064691249,1403.9100017307749,1751.3179423647568,2040.5276617693107,2288.2687147302227]},"chin_12":{"description":"Chinese scale, 4th cent.                                                        ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,99.2,199.5,296.7,398,492.9,595.2,699,790.9,896.1,984.9,1091.4]},"chin_5":{"description":"Chinese pentatonic from Zhou period                                             ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,498.04499913461245,701.9550008653874,905.8650025961623]},"chin_60":{"description":"Chinese scale of fifths (the 60 l�)","size":60,"tune":440,"center":69,"range":1200,"cents":[0,3.61505,23.460010384649014,46.92002,70.38003,93.84004,113.68500605771193,137.14501644236097,160.60503,184.06504,203.91000173077484,207.52505,227.37001211542386,250.83002,274.29003,297.75004,317.5950077884867,341.05502,364.51503,387.97504,407.8200034615497,411.43505,431.2800138461987,454.74002,478.20003,501.66005,521.5050095192616,544.96502,568.42503,591.88504,611.7300051923246,615.34505,635.1900155769735,658.65003,682.11004,701.9550008653874,705.57005,725.4150112500364,748.87502,772.33503,795.79504,815.6400069230993,839.10002,862.56003,886.02004,905.8650025961623,909.48005,929.3250129808114,952.78502,976.24503,999.70504,1019.5500086538742,1043.01002,1066.47003,1089.93004,1109.775004326937,1113.39005,1133.2350147115862,1156.69503,1180.15504]},"chin_7":{"description":"Chinese heptatonic scale and tritriadic of 64:81:96 triad                       ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,407.8200034615497,498.04499913461245,701.9550008653874,905.8650025961623,1109.775004326937]},"chin_bianzhong":{"description":"Pitches of Bianzhong bells (Xinyang). 1/1=b, Liang Mingyue, 1975.               ","size":12,"tune":440,"center":69,"range":2674,"cents":[0,104,308,624,820,1012,1144,1329,1515,1857,2039,2231]},"chin_bianzhong2a":{"description":"A-tones (GU) of 13 Xinyang bells (Ma Cheng-Yuan) 1/1=d#=619 Hz                  ","size":12,"tune":440,"center":69,"range":2598,"cents":[0,147,308,612,792,931,1092,1326,1581,1693,2068,2252]},"chin_bianzhong2b":{"description":"B-tones (SUI) of 13 Xinyang bells (Ma Cheng-Yuan) 1/1=b+=506.6 Hz               ","size":12,"tune":440,"center":69,"range":2658.99308,"cents":[0,114.9854,308.99317,624.99652,812.98131,1009.98545,1138.97957,1323.94786,1506.0175,1852.9698,2039.00232,2206.96993]},"chin_bianzhong3":{"description":"A and B-tones of 13 Xinyang bells (Ma Cheng-Yuan) abs. pitches wrt middle-C     ","size":26,"tune":440,"center":69,"range":4089,"cents":[0,1150,1262,1460,1491,1638,1776,1799,1962,2103,2160,2283,2290,2422,2474,2583,2656,2817,3004,3072,3184,3188,3357,3559,3743,3810]},"chin_bronze":{"description":"Scale found on ancient Chinese bronze instrument 3rd c.BC & \"Scholar's Lute\"    ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,315.64128700055255,386.3137138648348,498.04499913461245,701.9550008653874,884.3587129994474]},"chin_chime":{"description":"Pitches of 12 stone chimes, F. Kuttner, 1951, ROMA Toronto. 1/1=b4               ","size":12,"tune":440,"center":69,"range":2898,"cents":[0,88,550.5,790.5,1370.5,1660.5,1827,1991.5,2201.5,2207,2396.5,2484]},"chin_ching":{"description":"Scale of Ching Fang, c.45 BC. Pyth.steps 0 1 2 3 4 5 47 48 49 50 51 52 53       ","size":12,"tune":440,"center":69,"range":1203.61505,"cents":[0,93.84004,203.91000173077484,297.75004,407.8200034615497,501.66005,591.88504,701.9550008653874,795.79504,905.8650025961623,999.70504,1109.775004326937]},"chin_di":{"description":"Chinese di scale                                                                ","size":6,"tune":440,"center":69,"range":1213.57835,"cents":[0,229.46929,329.9708,555.03167,777.52793,875.24684]},"chin_di2":{"description":"Observed tuning from Chinese flute dizi, Helmholtz/Ellis p. 518, nr.103","size":7,"tune":440,"center":69,"range":1196,"cents":[0,178,339,448,662,888,1103]},"chin_huang":{"description":"Huang Zhong qin tuning","size":6,"tune":440,"center":69,"range":1607.8200034615497,"cents":[0,407.8200034615497,701.9550008653874,905.8650025961623,1200,1403.9100017307749]},"chin_liu-an":{"description":"Scale of Liu An, in: \"Huai Nan Tzu\", c.122 BC, 1st known corr. to Pyth. scale","size":11,"tune":440,"center":69,"range":1137.0390961270373,"cents":[0,110.30698732924724,203.91000173077484,302.86459396114236,407.8200034615497,519.5512887313275,608.3519864638596,701.9550008653874,800.909593095755,905.8650025961623,1017.5962878659401]},"chin_lu":{"description":"Chinese L� scale by Huai Nan zi, Han era. P�re Amiot 1780, Kurt Reinhard","size":12,"tune":440,"center":69,"range":1200,"cents":[0,98.95459223036757,203.91000173077484,315.64128700055255,394.3472969536448,498.04499913461245,608.3519864638596,701.9550008653874,800.909593095755,905.8650025961623,1017.5962878659401,1106.3969855984722]},"chin_lu2":{"description":"Chinese L� (Lushi chunqiu, by Lu Buwei). Mingyue: Music of the billion, p.67","size":12,"tune":440,"center":69,"range":1200,"cents":[0,113.68500605771193,203.91000173077484,317.5950077884867,407.8200034615497,521.5050095192616,611.7300051923246,701.9550008653874,815.6400069230993,905.8650025961623,1019.5500086538742,1109.775004326937]},"chin_lu3":{"description":"Chinese L� scale by Ho Ch'�ng-T'ien, reported in Sung Shu (500 AD)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,101,200,297,398,493,596,699,791,897,985,1092]},"chin_lu3a":{"description":"Chinese L� scale by Ho Ch'�ng-T'ien, calc. basis is \"big number\" 177147","size":12,"tune":440,"center":69,"range":1200,"cents":[0,99.23597018405718,199.5491527747835,296.7184811641497,398.02349522768975,492.879608453054,594.1476896537669,699.0512311612488,790.939335362052,896.058819182893,984.8689245378528,1090.4946939958868]},"chin_lu4":{"description":"Chinese L� \"749-Temperament\"","size":12,"tune":440,"center":69,"range":1200,"cents":[0,97.51604,199.29029711199354,296.80634,398.58059,496.09663,597.87089,699.6451485559968,797.16119,898.9354456679906,996.45149,1098.22574]},"chin_lu5":{"description":"Chinese L� scale by Ch'ien Lo-Chih, c.450 AD Pyth.steps 0 154 255 103 204 etc.","size":12,"tune":440,"center":69,"range":1198.23,"cents":[0,101.07013,198.52522,301.36509,398.82018,499.89031,599.11513,700.18527,799.41009,900.48022,999.70504,1100.77518]},"chin_lusheng":{"description":"Observed tuning of a small Lusheng, 1/1=d, OdC '97                              ","size":5,"tune":440,"center":69,"range":1191,"cents":[0,329,498,688,1003]},"chin_mannen":{"description":"Observed scale from song Mannen-fon, B.I. Gilman, On Some Psychological Aspects of the Chinese Musical System, 1892","size":7,"tune":440,"center":69,"range":1400,"cents":[0,190,345,500,700,900,1200]},"chin_pan":{"description":"Pan Huai-su pure Pythagorean system, in: Sin-Yan Shen, 1991","size":23,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,113.68500605771193,180.44999134612573,203.91000173077484,294.13499740383764,384.35999307690076,407.8200034615497,474.58498874996354,498.04499913461245,588.2699948076753,611.7300051923246,678.4949904807384,701.9550008653874,792.1799965384502,815.6400069230993,882.4049922115132,905.8650025961623,972.6299878845762,996.0899982692251,1086.314993942288,1109.775004326937,1176.539989615351]},"chin_pipa":{"description":"Observed tuning from Chinese balloon lute p'i-p'a, Helmholtz/Ellis p. 518, nr.109","size":5,"tune":440,"center":69,"range":1195,"cents":[0,145,351,647,874]},"chin_sheng":{"description":"Observed tuning from Chinese sheng or mouth organ, Helmholtz/Ellis p. 518, nr.105","size":7,"tune":440,"center":69,"range":1199,"cents":[0,210,338,498,715,908,1040]},"chin_shierlu":{"description":"Old Chinese L� scale, from http://en.wikipedia.org/wiki/Shi_Er_L%C3%BC","size":12,"tune":440,"center":69,"range":1200,"cents":[0,113.68500605771193,203.91000173077484,270.83405281114915,407.8200034615497,520.6758318361916,611.7300051923246,701.9550008653874,815.6400069230993,905.8650025961623,1019.4736640901118,1109.775004326937]},"chin_sientsu":{"description":"Observed tuning from Chinese tamboura sienzi, Helmholtz/Ellis p. 518, nr.108","size":5,"tune":440,"center":69,"range":1200,"cents":[0,189,386,702,893]},"chin_sona":{"description":"Observed tuning from Chinese oboe (so-na), Helmholtz/Ellis p. 518, nr.104","size":7,"tune":440,"center":69,"range":1216,"cents":[0,145,297,440,637,813,1014]},"chin_wang-po":{"description":"Scale of Wang Po, 958 AD. H. Pischner: Musik in China, Berlin, 1955, p.20       ","size":7,"tune":440,"center":69,"range":1180.87015,"cents":[0,203.91000173077484,403.22751,609.2634,701.9550008653874,903.70231,1106.39699]},"chin_yangqin":{"description":"Observed tuning from Chinese dulcimer yangqin, Helmholtz/Ellis p. 518, nr.107","size":7,"tune":440,"center":69,"range":1198,"cents":[0,169,274,491,661,878,996]},"chin_yunlo":{"description":"Observed tuning from Chinese gong-chime (y�n-lo), Helmholtz/Ellis p. 518, nr.106","size":7,"tune":440,"center":69,"range":1208,"cents":[0,169,367,586,674,775,1062]},"chopsticks":{"description":"Symmetrical non-octave MOS, subset of 15-tET","size":10,"tune":440,"center":69,"range":2400,"cents":[0,320,480,800,960,1280,1440,1760,1920,2240]},"choquel":{"description":"Choquel/Barbour/Marpurg?                                                        ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,772.6274277296696,884.3587129994474,1034.995771500078,1088.2687147302222]},"chordal":{"description":"Chordal Notes subharmonic and harmonic","size":40,"tune":440,"center":69,"range":2288.2687147302227,"cents":[0,111.73128526977776,203.91000173077484,231.17409353087498,266.87090560373764,297.5130161323026,315.64128700055255,347.40794063398204,359.4723382306895,386.3137138648348,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,636.6176600385357,648.6820576352434,701.9550008653874,782.4920358956317,813.6862861351652,918.6416956355724,933.1290943962623,968.8259064691249,996.0899982692251,996.0899982692251,1017.5962878659401,1088.2687147302222,1200,1304.9554095004075,1403.9100017307749,1466.8709056037378,1497.5130161323025,1515.6412870005524,1586.3137138648349,1698.0449991346125,1751.3179423647568,2040.5276617693107,2084.3587129994476,2118.6416956355724,2168.825906469125,2288.2687147302227]},"chrom15":{"description":"Tonos-15 Chromatic                                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,247.7410529609115,536.9507723654654,701.9550008653874,790.7556985979196,884.3587129994474]},"chrom15_inv":{"description":"Inverted Chromatic Tonos-15 Harmonia                                            ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,315.64128700055255,409.24430140208034,498.04499913461245,663.0492276345343,952.2589470390885,1080.5571917389027]},"chrom15_inv2":{"description":"A harmonic form of the Chromatic Tonos-15 inverted                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,216.686694770185,498.04499913461245,663.0492276345343,740.0056325381934,813.6862861351652]},"chrom17":{"description":"Tonos-17 Chromatic                                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,216.686694770185,603.00040863502,753.6374671356506,834.174502165895,918.6416956355724]},"chrom17_con":{"description":"Conjunct Tonos-17 Chromatic                                                     ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,216.686694770185,603.00040863502,676.6810622319916,753.6374671356506,1101.0454077696324]},"chrom19":{"description":"Tonos-19 Chromatic                                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,93.6030144015278,192.55760663189534,528.6871096631778,656.9853543629919,724.8855884026331,795.5580152669153]},"chrom19_con":{"description":"Conjunct Tonos-19 Chromatic                                                     ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,93.6030144015278,192.55760663189534,528.6871096631778,591.6480135361404,656.9853543629919,946.1950737675459]},"chrom21":{"description":"Tonos-21 Chromatic                                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,173.2678912022099,470.7809073345124,701.9550008653874,764.9159047383502,830.2532455652018]},"chrom21_inv":{"description":"Inverted Chromatic Tonos-21 Harmonia                                            ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,369.74675443479833,435.0840952616501,498.04499913461245,729.2190926654876,1026.7321087977903,1115.5328065303224]},"chrom21_inv2":{"description":"Inverted harmonic form of the Chromatic Tonos-21                                ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,231.17409353087498,498.04499913461245,729.2190926654876,834.174502165895,933.1290943962623]},"chrom23":{"description":"Tonos-23 Chromatic                                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,76.95640490365868,157.49343993390326,424.3643455376405,628.2743472684155,740.0056325381934,859.4484407992906]},"chrom23_con":{"description":"Conjunct Tonos-23 Chromatic                                                     ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,76.95640490365868,157.49343993390326,424.3643455376405,523.3189377680083,628.2743472684155,987.746685499105]},"chrom25":{"description":"Tonos-25 Chromatic                                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,107.12080571650476,221.3094853649131,568.7174259988948,772.6274277296696,884.3587129994474,1003.8015212605447]},"chrom25_con":{"description":"Conjunct Tonos-25 Chromatic                                                     ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,107.12080571650476,221.3094853649131,568.7174259988948,667.6720182292624,772.6274277296696,1132.099765960359]},"chrom27":{"description":"Tonos-27 Chromatic                                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,98.95459223036757,203.91000173077484,519.5512887313275,701.9550008653874,800.909593095755,905.8650025961623]},"chrom27_inv":{"description":"Inverted Chromatic Tonos-27 Harmonia                                            ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,294.13499740383764,399.0904069042451,498.04499913461245,680.4487112686725,996.0899982692251,1101.0454077696324]},"chrom27_inv2":{"description":"Inverted harmonic form of the Chromatic Tonos-27                                ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,123.71219155692445,498.04499913461245,680.4487112686725,764.9159047383502,884.3587129994474]},"chrom29":{"description":"Tonos-29 Chromatic                                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,60.75128768396177,123.71219155692445,478.2592517883298,643.2634802882518,732.064178020784,825.6671924223118]},"chrom29_con":{"description":"Conjunct Tonos-29 Chromatic                                                     ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,60.75128768396177,123.71219155692445,478.2592517883298,558.7962868185742,643.2634802882518,1029.5771941530866]},"chrom31":{"description":"Tonos-31 Chromatic. Tone 24 alternates with 23 as MESE or A                     ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,115.45837831116357,239.17056986808802,443.08057159886295,516.7612251958349,593.7176300994937,674.254665129738,758.7218585994156]},"chrom31_con":{"description":"Conjunct Tonos-31 Chromatic                                                     ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,115.45837831116357,239.17056986808802,443.08057159886295,516.7612251958349,593.7176300994937,674.254665129738,941.1255707334756]},"chrom33":{"description":"Tonos-33 Chromatic. A variant is 66 63 60 48                                    ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,108.23737076589377,223.69574907705766,551.3179423647567,701.9550008653874,782.4920358956317,866.9592293653092]},"chrom33_con":{"description":"Conjunct Tonos-33 Chromatic                                                     ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,108.23737076589377,223.69574907705766,551.3179423647567,624.9985959617287,701.9550008653874,1049.3629414993693]},"chrom_new":{"description":"New Chromatic genus 4.5 + 9 + 16.5","size":7,"tune":440,"center":69,"range":1200,"cents":[0,75,225,500,700,775,925]},"chrom_new2":{"description":"New Chromatic genus 14/3 + 28/3 + 16 parts","size":7,"tune":440,"center":69,"range":1200,"cents":[0,77.77778,233.33333,500,700,777.77778,933.33333]},"chrom_soft":{"description":"100/81 Chromatic. This genus is a good approximation to the soft chromatic      ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,65.33734082685181,133.23757486649274,498.04499913461245,701.9550008653874,767.2923416922391,835.1925757318802]},"chrom_soft2":{"description":"1:2  Soft Chromatic","size":7,"tune":440,"center":69,"range":1200,"cents":[0,44.44444,133.33333,500,700,744.44444,833.33333]},"chrom_soft3":{"description":"Soft chromatic genus from Kathleen Schlesinger's modified Mixolydian Harmonia","size":7,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,128.29824469981426,498.04499913461245,701.9550008653874,764.9159047383502,830.2532455652018]},"chrys_diat-1st-ji":{"description":"Chrysanthos JI Diatonic and 1st Byzantine Liturgical mode","size":7,"tune":440,"center":69,"range":1200,"cents":[0,150.6370585006306,294.13499740383764,498.04499913461245,701.9550008653874,852.5920593660182,996.0899982692251]},"chrys_diatenh-var-ji":{"description":"JI interpretation of Chrysanthos Diatonic-Enharmonic Byzantine mode","size":7,"tune":440,"center":69,"range":1200,"cents":[0,150.6370585006306,294.13499740383764,498.04499913461245,701.9550008653874,764.9159047383502,996.0899982692251]},"chrys_enhdiat-var-ji":{"description":"JI interpretation of Chrysanthos Enharmonic-Diatonic Byzantine Mode","size":7,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,435.0840952616501,498.04499913461245,701.9550008653874,852.5920593660182,996.0899982692251]},"cifariello":{"description":"F. Cifariello Ciardi, ICMC 86 Proc. 15-tone 5-limit tuning                      ","size":15,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,182.40371213406007,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,568.7174259988948,631.2825740011052,701.9550008653874,813.6862861351652,884.3587129994474,996.0899982692251,1017.5962878659401,1088.2687147302222]},"circ5120":{"description":"Circle of seven minor, six major, and one subminor thirds in 531-tET","size":14,"tune":440,"center":69,"range":1200,"cents":[0,24.858757,205.649718,230.508475,316.384181,411.299435,522.033898,616.949153,702.824859,727.683616,908.474576,933.333333,1019.20904,1114.124294]},"circb22":{"description":"circulating scale from pipedum_22c in 50/49 (-1,5) tuning; approximate pajara","size":22,"tune":440,"center":69,"range":1200,"cents":[0,56.609169,108.337097,165.79894,217.526867,274.136036,325.863964,382.473133,434.20106,491.662903,543.390831,600,656.609169,708.337097,765.79894,817.526867,874.136036,925.863964,982.473133,1034.20106,1091.662903,1143.390831]},"circle31":{"description":"Approximate 31-tET with 18 5^(1/4) fifths, 12 (56/5)^(1/6) fifths, and a (4096/6125)*sqrt(5)","size":31,"tune":440,"center":69,"range":1200,"cents":[0,39.04564,76.049,117.10786,153.61881,193.15686,233.21637,269.20586,310.26471,347.78954,386.3137138648348,427.3871,462.36271,503.42157,541.96027,579.47057,620.52943,656.53344,696.57843,736.131,772.6274277296696,813.6862861351652,850.70417,889.73529,930.30173,965.78428,1006.84314,1044.87491,1082.89214,1123.951,1159.44808]},"circls12":{"description":"Least squares circulating temperament","size":12,"tune":440,"center":69,"range":1200,"cents":[0,79.70961,198.27445,285.43857,390.29238,495.14619,582.31031,700.87514,780.58476,894.97858,990.29238,1085.60618]},"circos":{"description":"[1, 3] weight range weighted least squares circulating temperament","size":12,"tune":440,"center":69,"range":1200,"cents":[0,89.617502,195.633226,300.984164,391.528643,501.698852,587.325482,697.824592,796.007518,893.677492,1002.402613,1088.884819]},"ckring9":{"description":"Double-tie circular mirroring with common pivot of 3:5:7:9","size":13,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,266.87090560373764,315.64128700055255,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,884.3587129994474,933.1290943962623,1017.5962878659401]},"clampitt_phi":{"description":"David Clampitt, phi+1 mod 3phi+2, from \"Pairwise Well-Formed Scales\", 1997","size":7,"tune":440,"center":69,"range":1200,"cents":[0,175.07764,350.15528,458.35921,633.43685,916.71842,1091.79607]},"classr":{"description":"Marvel projection to the 5-limit of class","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,162.8511433252793,315.64128700055255,386.3137138648348,478.4924303258319,590.2237155956096,701.9550008653874,772.6274277296696,905.8650025961623,976.5374294604446,1088.2687147302222]},"claudi-enigma":{"description":"Claudi Meneghin's 11-limit JI Enigma theme scale","size":15,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,266.87090560373764,386.3137138648348,470.7809073345124,498.04499913461245,590.2237155956096,701.9550008653874,764.9159047383502,845.4529397685943,884.3587129994474,905.8650025961623,968.8259064691249,1049.3629414993693,1088.2687147302222]},"clipper100":{"description":"Clipper(100/99), 2.3.5.11, POTE 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","size":17,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,782.4920358956317,813.6862861351652,884.3587129994474,968.8259064691249,1017.5962878659401,1049.3629414993693]},"cons19":{"description":"Set of intervals with num + den <= 19 not exceeding 2/1                         ","size":20,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,551.3179423647567,582.51219260429,617.4878073957099,701.9550008653874,782.4920358956317,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,1017.5962878659401,1049.3629414993693]},"cons20":{"description":"Set of intervals with num + den <= 20 not exceeding 2/1                         ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,347.40794063398204,386.3137138648348,435.0840952616501,498.04499913461245,551.3179423647567,582.51219260429,617.4878073957099,701.9550008653874,782.4920358956317,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,1017.5962878659401,1049.3629414993693,1071.7017553001858]},"cons21":{"description":"Set of intervals with num + den <= 21 not exceeding 2/1                         ","size":24,"tune":440,"center":69,"range":1200,"cents":[0,165.00422849992202,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,347.40794063398204,386.3137138648348,435.0840952616501,498.04499913461245,551.3179423647567,582.51219260429,617.4878073957099,701.9550008653874,782.4920358956317,813.6862861351652,840.5276617693106,884.3587129994474,933.1290943962623,968.8259064691249,1017.5962878659401,1049.3629414993693,1071.7017553001858]},"cons8":{"description":"Set of intervals with num + den <= 8 not exceeding 2/1                          ","size":4,"tune":440,"center":69,"range":1200,"cents":[0,498.04499913461245,701.9550008653874,884.3587129994474]},"cons9":{"description":"Set of intervals with num + den <= 9 not exceeding 2/1                          ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,386.3137138648348,498.04499913461245,701.9550008653874,884.3587129994474]},"cons_5":{"description":"Set of consonant 5-limit intervals 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3/1","size":9,"tune":440,"center":69,"range":1901.9550008653873,"cents":[0,133.23757486649274,449.2746177377975,582.51219260429,884.3587129994474,1017.5962878659401,1319.442808261097,1452.6803831275902,1768.717425998895]},"cross2_5":{"description":"double 3-5 cross reduced by 2/1                                                 ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,203.91000173077484,315.64128700055255,498.04499913461245,701.9550008653874,884.3587129994474,996.0899982692251,1088.2687147302222]},"cross2_7":{"description":"longer 3-5-7 cross reduced by 2/1                                               ","size":13,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,231.17409353087498,386.3137138648348,427.3725722703304,462.34818706174997,498.04499913461245,701.9550008653874,737.6518129382499,772.6274277296696,813.6862861351652,968.8259064691249,996.0899982692251]},"cross3":{"description":"John Pusey's triple 5-7 cross reduced by 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cross reduced by 3/1                                                      ","size":7,"tune":440,"center":69,"range":1901.9550008653873,"cents":[0,435.0840952616501,701.9550008653874,884.3587129994474,1017.5962878659401,1200,1466.8709056037378]},"crossbone1":{"description":"7-limit Crossbone Scale (1st order, 1st sepent)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,266.87090560373764,386.3137138648348,435.0840952616501,617.4878073957099,701.9550008653874,764.9159047383502,884.3587129994474,933.1290943962623,968.8259064691249,1088.2687147302222]},"cruciform":{"description":"Cruciform Lattice                                                               ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,274.582428595057,315.64128700055255,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,1088.2687147302222]},"cube3":{"description":"7-limit Cube[3] scale, Gene Ward Smith","size":32,"tune":440,"center":69,"range":1200,"cents":[0,35.69681207286232,70.67242686428234,84.46719346967761,119.44280826109726,155.13962033395975,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,350.6169017919724,351.3380990734152,386.3137138648348,435.0840952616501,470.7809073345124,498.04499913461245,582.51219260429,617.4878073957099,653.1846194685722,701.9550008653874,737.6518129382499,772.6274277296696,813.6862861351652,857.0946211993472,884.3587129994474,898.1534796048427,933.1290943962623,968.8259064691249,1003.8015212605447,1017.5962878659401,1088.2687147302222,1151.229618603185]},"cube3enn":{"description":"7-limit Cube[3] scale, 3600-ET ennealimmal 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Cube[4] scale, 3600-tET ennealimmal tempered","size":63,"tune":440,"center":69,"range":1200,"cents":[0,35,35.66667,48.66667,70.66667,84.33333,111.66667,119.33333,155,182.33333,196.33333,204,231.33333,267,302,315.66667,343,350.66667,351.33333,386.33333,427.33333,435,449.33333,462.33333,470.66667,498,512,533.66667,546.66667,568.66667,581.66667,582.66667,617.33333,618.33333,631.33333,653.33333,666.33333,688,702,729.33333,737.66667,750.66667,765,772.66667,813.66667,848.66667,849.33333,857,884.33333,898,933,968.66667,996,1003.66667,1017.66667,1045,1080.66667,1088.33333,1115.66667,1129.33333,1151.33333,1164.33333,1165]},"cv1":{"description":"First 12/5 <12 19 28 34| epimorphic","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,231.17409353087498,266.87090560373764,386.3137138648348,498.04499913461245,582.51219260429,701.9550008653874,813.6862861351652,884.3587129994474,968.8259064691249,1080.5571917389027]},"cv11":{"description":"Eleventh 12/5 scale <12 19 28 34| epimorphic","size":12,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,203.91000173077484,315.64128700055255,435.0840952616501,470.7809073345124,582.51219260429,701.9550008653874,813.6862861351652,933.1290943962623,1017.5962878659401,1088.2687147302222]},"cv13":{"description":"Thirteenth 12/5 scale <12 19 28 34| epimorphic","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,196.19847873945548,315.64128700055255,386.3137138648348,498.04499913461245,582.51219260429,701.9550008653874,813.6862861351652,933.1290943962623,968.8259064691249,1080.5571917389027]},"cv5":{"description":"Fifth 12/5 scale <12 19 28 34| epimorphic = inverse hen12","size":12,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,203.91000173077484,315.64128700055255,386.3137138648348,470.7809073345124,582.51219260429,701.9550008653874,813.6862861351652,933.1290943962623,968.8259064691249,1088.2687147302222]},"cv7":{"description":"Seventh 12/5 scale <12 19 28 34| epimorphic","size":12,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,203.91000173077484,315.64128700055255,435.0840952616501,470.7809073345124,582.51219260429,701.9550008653874,813.6862861351652,933.1290943962623,1017.5962878659401,1088.2687147302222]},"cv9":{"description":"Ninth 12/5 scale <12 19 28 34| epimorphic","size":12,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,231.17409353087498,266.87090560373764,386.3137138648348,498.04499913461245,617.4878073957099,729.2190926654876,813.6862861351652,884.3587129994474,1003.8015212605447,1115.5328065303224]},"cw12_11":{"description":"CalkinWilf(<12 19 28 34 42|)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,150.6370585006306,231.17409353087498,315.64128700055255,386.3137138648348,498.04499913461245,582.51219260429,701.9550008653874,813.6862861351652,884.3587129994474,968.8259064691249,1049.3629414993693]},"cw19_11":{"description":"CalkinWilf(<19 30 44 53 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scale","size":11,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,315.64128700055255,386.3137138648348,435.0840952616501,582.51219260429,701.9550008653874,813.6862861351652,933.1290943962623,968.8259064691249,1088.2687147302222]},"cxi3":{"description":"Third 11/5 <11 17 26 31| permutation epimorphic scale","size":11,"tune":440,"center":69,"range":1200,"cents":[0,35.69681207286232,155.13962033395975,266.87090560373764,386.3137138648348,582.51219260429,653.1846194685722,701.9550008653874,772.6274277296696,968.8259064691249,1088.2687147302222]},"cycle19":{"description":"19-note lesfip scale, 9-limit, 10 cents tolerance","size":19,"tune":440,"center":69,"range":1200,"cents":[0,68.20867,136.05163,202.95562,268.42817,316.37773,386.43387,451.91444,519.78797,576.96741,634.14686,702.02039,767.50096,837.5571,885.50666,950.97921,1017.8832,1085.72616,1153.93483]},"dakota-sun19":{"description":"Scott Dakota, Sun-19 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to Semantic-36 and Semantix-36 with different A","size":12,"tune":440,"center":69,"range":1200,"cents":[0,133.23757486649274,203.91000173077484,337.14757659726763,364.8074242681199,498.04499913461245,568.7174259988948,701.9550008653874,835.1925757318802,862.8524234027326,1039.102577462655,1066.7624251335073]},"dan_semantic":{"description":"The Semantic Scale, from Alain Dani�lou: \"S�mantique Musicale\" (1967)","size":35,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,90.22499567306306,111.73128526977776,182.40371213406007,203.91000173077484,223.46257053955554,274.582428595057,294.13499740383764,315.64128700055255,364.8074242681199,386.3137138648348,407.8200034615497,478.4924303258319,498.04499913461245,519.5512887313275,568.7174259988948,590.2237155956096,609.7762844043904,680.4487112686725,701.9550008653874,723.4612904621023,772.6274277296696,792.1799965384502,813.6862861351652,862.8524234027326,884.3587129994474,905.8650025961623,976.5374294604446,996.0899982692251,1017.5962878659401,1066.7624251335073,1088.2687147302222,1109.775004326937,1178.4937104032851]},"dan_semantix":{"description":"Jacques Dudon, Semantix-36, 27/25 generator","size":36,"tune":440,"center":69,"range":1200,"cents":[0,35.69681207286232,70.67242686428234,97.93651866438236,133.23757486649274,168.2131896579122,203.91000173077484,231.17409353087498,266.87090560373764,301.84652039515726,337.14757659726763,364.8074242681199,400.1084804702302,435.0840952616501,470.7809073345124,498.04499913461245,533.741811207475,568.7174259988948,604.0184822010051,631.2825740011052,666.2581887925251,701.9550008653874,737.6518129382499,764.9159047383502,799.8915195297698,835.1925757318802,870.1681905232999,898.1534796048427,933.1290943962623,968.8259064691249,1003.8015212605447,1031.7868103420878,1066.7624251335073,1102.0634813356176,1137.0390961270373,1164.3031879271377]},"danielou5_53":{"description":"Dani�lou's Harmonic Division in 5-limit, symmetrized","size":53,"tune":440,"center":69,"range":1200,"cents":[0,21.50628959671478,41.058858405495585,70.67242686428234,90.22499567306306,111.73128526977776,133.23757486649274,152.7901436752734,182.40371213406007,203.91000173077484,223.46257053955554,244.96886013627025,274.582428595057,294.13499740383764,315.64128700055255,337.14757659726763,364.8074242681199,386.3137138648348,407.8200034615497,427.3725722703304,456.986140729117,476.5387095378977,498.04499913461245,519.5512887313275,539.1038575401082,568.7174259988948,590.2237155956096,609.7762844043904,631.2825740011052,660.896142459892,680.4487112686725,701.9550008653874,723.4612904621023,743.013859270883,772.6274277296696,792.1799965384502,813.6862861351652,835.1925757318802,862.8524234027326,884.3587129994474,905.8650025961623,925.417571404943,955.0311398637298,976.5374294604446,996.0899982692251,1017.5962878659401,1047.2098563247266,1066.7624251335073,1088.2687147302222,1109.775004326937,1129.3275731357178,1158.9411415945044,1178.4937104032851]},"danielou_53":{"description":"Dani�lou's Harmonic Division of the Octave, see p. 153","size":53,"tune":440,"center":69,"range":1200,"cents":[0,21.50628959671478,38.050631672805665,70.67242686428234,90.22499567306306,111.73128526977776,133.23757486649274,165.00422849992202,182.40371213406007,203.91000173077484,223.46257053955554,247.7410529609115,274.582428595057,294.13499740383764,315.64128700055255,342.905378800653,364.8074242681199,386.3137138648348,407.8200034615497,427.3725722703304,456.986140729117,476.5387095378977,498.04499913461245,519.5512887313275,539.1038575401082,568.7174259988948,590.2237155956096,609.7762844043904,631.2825740011052,660.896142459892,680.4487112686725,701.9550008653874,723.4612904621023,743.013859270883,772.6274277296696,792.1799965384502,813.6862861351652,835.1925757318802,862.8524234027326,884.3587129994474,905.8650025961623,925.417571404943,955.0311398637298,976.5374294604446,996.0899982692251,1017.5962878659401,1049.3629414993693,1066.7624251335073,1088.2687147302222,1109.775004326937,1129.3275731357178,1158.9411415945044,1178.4937104032851]},"darreg":{"description":"This set of 19 ratios in 5-limit JI is for his megalyra family                  ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,182.40371213406007,203.91000173077484,274.582428595057,315.64128700055255,386.3137138648348,498.04499913461245,590.2237155956096,609.7762844043904,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,905.8650025961623,976.5374294604446,1017.5962878659401,1088.2687147302222]},"darreg_ennea":{"description":"Ivor Darreg's Mixed Enneatonic, a mixture of chromatic and enharmonic","size":9,"tune":440,"center":69,"range":1200,"cents":[0,50,100,200,500,700,750,800,900]},"darreg_genus":{"description":"Ivor Darreg's Mixed JI Genus (Archytas Enh, Ptolemy Soft Chrom, Didymos Chrom   ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,182.40371213406007,498.04499913461245,701.9550008653874,764.9159047383502,813.6862861351652,884.3587129994474]},"darreg_genus2":{"description":"Darreg's Mixed JI Genus 2 (Archytas Enharmonic and Chromatic Genera)            ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,203.91000173077484,498.04499913461245,701.9550008653874,764.9159047383502,813.6862861351652,905.8650025961623]},"david11":{"description":"11-limit system from Gary David 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Dekany 1 1/3 1/5 1/7 1/9                           ","size":10,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,266.87090560373764,386.3137138648348,470.7809073345124,653.1846194685722,701.9550008653874,884.3587129994474,968.8259064691249,1088.2687147302222]},"dekany4":{"description":"2)5 Dekany 1.7.13.19.29 (1.7 tonic)                                             ","size":10,"tune":440,"center":69,"range":1200,"cents":[0,60.75128768396177,169.2147714324882,297.5130161323026,358.2643038162641,528.6871096631778,840.5276617693106,901.2789494532723,1029.5771941530866,1071.7017553001858]},"dekany_agni":{"description":"Dekany agni {385/384, 1375/1372} oblique transversal convex 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See Novaro, 1927, Sistema 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+9 +15 diamond, Denny Genovese, 3/2=384 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21 23 25 27, Christopher Vaisvil","size":13,"tune":440,"center":69,"range":1200,"cents":[0,133.23757486649274,144.35308046125408,157.49343993390326,277.59065532774696,301.84652039515726,435.0840952616501,764.9159047383502,898.1534796048427,922.4093446722533,1042.5065600660967,1055.6469195387458,1066.7624251335073]},"diamond7-13":{"description":"7 9 11 13 diamond","size":13,"tune":440,"center":69,"range":1200,"cents":[0,128.29824469981426,289.209719404554,347.40794063398204,417.50796410436817,435.0840952616501,563.3823399614643,636.6176600385357,764.9159047383502,782.4920358956317,852.5920593660182,910.7902805954461,1071.7017553001858]},"diamond7":{"description":"7-limit diamond, also double-tie circular mirroring of 4:5:6:7 with common 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closure","size":15,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,223.46257053955554,274.582428595057,315.64128700055255,386.3137138648348,498.04499913461245,590.2237155956096,609.7762844043904,701.9550008653874,813.6862861351652,884.3587129994474,925.417571404943,976.5374294604446,1088.2687147302222]},"diamond9":{"description":"9-limit tonality diamond","size":19,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401]},"diamond9_875":{"description":"9-limit diamond keemic (875/864) 5-limit convex closure","size":27,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,182.40371213406007,203.91000173077484,244.96886013627025,253.07613899834226,315.64128700055255,386.3137138648348,427.3725722703304,456.986140729117,498.04499913461245,560.6101471368231,568.7174259988948,631.2825740011052,639.389852863177,701.9550008653874,743.013859270883,772.6274277296696,813.6862861351652,884.3587129994474,946.9238610016578,955.0311398637298,996.0899982692251,1017.5962878659401,1088.2687147302222,1129.3275731357178]},"diamond9block":{"description":"Weak Fokker block one note different from the 9-limit diamond","size":19,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401,1137.0390961270373]},"diamond9keemic":{"description":"Keemic (875/864) tempering of 9-limit diamond, POTE tuning","size":19,"tune":440,"center":69,"range":1200,"cents":[0,176.72185,203.74653,235.78536,262.34137,321.40488,380.46839,439.53189,498.12673,583.74625,616.25375,701.87327,760.46811,819.53161,878.59512,937.65863,964.21464,996.25347,1023.27815]},"diamond9plus":{"description":"9-limit tonality diamond extended with two secors","size":21,"tune":440,"center":69,"range":1200,"cents":[0,115.587,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401,1084.413]},"diamond_chess":{"description":"9-limit chessboard pattern diamond. OdC                                         ","size":11,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,315.64128700055255,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,884.3587129994474,968.8259064691249]},"diamond_chess11":{"description":"11-limit chessboard pattern diamond. OdC                                        ","size":17,"tune":440,"center":69,"range":1200,"cents":[0,165.00422849992202,231.17409353087498,315.64128700055255,347.40794063398204,435.0840952616501,498.04499913461245,551.3179423647567,582.51219260429,617.4878073957099,648.6820576352434,701.9550008653874,764.9159047383502,852.5920593660182,884.3587129994474,968.8259064691249,1034.995771500078]},"diamond_dup":{"description":"Two 7-limit diamonds 3/2 apart","size":20,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,119.44280826109726,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,470.7809073345124,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,1017.5962878659401,1088.2687147302222]},"diamond_mod":{"description":"13-tone Octave Modular Diamond, based on Archytas's Enharmonic                  ","size":13,"tune":440,"center":69,"range":1200,"cents":[0,48.77038139681492,62.960903872962575,111.73128526977776,386.3137138648348,435.0840952616501,498.04499913461245,701.9550008653874,764.9159047383502,813.6862861351652,1088.2687147302222,1137.0390961270373,1151.229618603185]},"diamond_tetr":{"description":"Tetrachord Modular Diamond based on Archytas's Enharmonic                       ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,386.3137138648348,435.0840952616501,449.2746177377975,498.04499913461245,546.8153805314276]},"diamondupblock":{"description":"Weak Fokker block with val <20 31 46 59|","size":20,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,470.7809073345124,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401,1088.2687147302222]},"diaphonic_10":{"description":"10-tone Diaphonic Cycle                                                         ","size":10,"tune":440,"center":69,"range":1200,"cents":[0,98.95459223036757,203.91000173077484,315.64128700055255,435.0840952616501,563.3823399614643,701.9550008653874,813.6862861351652,933.1290943962623,1061.427339096077]},"diaphonic_12":{"description":"12-tone Diaphonic Cycle, conjunctive form on 3/2 and 4/3                        ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,173.2678912022099,266.87090560373764,365.82549783410514,470.7809073345124,582.51219260429,701.9550008653874,790.7556985979196,884.3587129994474,983.313305229815,1088.2687147302222]},"diaphonic_12a":{"description":"2nd 12-tone Diaphonic Cycle, conjunctive form on 10/7 and 7/5                   ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,173.2678912022099,266.87090560373764,365.82549783410514,470.7809073345124,582.51219260429,671.3128903368223,764.9159047383502,863.8704969687176,968.8259064691249,1080.5571917389027]},"diaphonic_7":{"description":"7-tone Diaphonic Cycle, disjunctive form on 4/3 and 3/2                         ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,150.6370585006306,315.64128700055255,498.04499913461245,648.6820576352434,813.6862861351652,996.0899982692251]},"diat13":{"description":"This genus is from K.S's  diatonic Hypodorian harmonia                          ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,359.4723382306895,498.04499913461245,701.9550008653874,813.6862861351652,1061.427339096077]},"diat15":{"description":"Tonos-15 Diatonic and its own trite synemmenon Bb                               ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,247.7410529609115,386.3137138648348,536.9507723654654,617.4878073957099,701.9550008653874,884.3587129994474,1088.2687147302222]},"diat15_inv":{"description":"Inverted Tonos-15 Harmonia, a harmonic series from 15 from 30.                  ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,315.64128700055255,498.04499913461245,582.51219260429,663.0492276345343,813.6862861351652,952.2589470390885]},"diat17":{"description":"Tonos-17 Diatonic and its own trite synemmenon Bb                               ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,216.686694770185,464.42774773109676,603.00040863502,676.6810622319916,753.6374671356506,918.6416956355724,1101.0454077696324]},"diat19":{"description":"Tonos-19 Diatonic and its own trite synemmenon Bb                               ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,93.6030144015278,297.5130161323026,528.6871096631778,591.6480135361404,656.9853543629919,795.5580152669153,946.1950737675459]},"diat21":{"description":"Tonos-21 Diatonic and its own trite synemmenon Bb                               ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,173.2678912022099,266.87090560373764,470.7809073345124,582.51219260429,701.9550008653874,830.2532455652018,968.8259064691249]},"diat21_inv":{"description":"Inverted Tonos-21 Harmonia, a harmonic series from 21 from 42.                  ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,369.74675443479833,498.04499913461245,617.4878073957099,729.2190926654876,933.1290943962623,1026.7321087977903]},"diat23":{"description":"Tonos-23 Diatonic and its own trite synemmenon Bb                               ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,157.49343993390326,241.96063340358052,424.3643455376405,523.3189377680083,628.2743472684155,859.4484407992906,987.746685499105]},"diat25":{"description":"Tonos-25 Diatonic and its own trite synemmenon Bb                               ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,221.3094853649131,386.3137138648348,568.7174259988948,667.6720182292624,772.6274277296696,1003.8015212605447,1132.099765960359]},"diat27":{"description":"Tonos-27 Diatonic and its own trite synemmenon Bb                               ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,435.0840952616501,519.5512887313275,608.3519864638596,701.9550008653874,905.8650025961623,1137.0390961270373]},"diat27_inv":{"description":"Inverted Tonos-27 Harmonia, a harmonic series from 27 from 54                   ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,294.13499740383764,498.04499913461245,636.6176600385357,680.4487112686725,764.9159047383502,996.0899982692251]},"diat29":{"description":"Tonos-29 Diatonic and its own trite synemmenon Bb                               ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,189.04953238377598,327.622193287699,478.2592517883298,558.7962868185742,643.2634802882518,825.6671924223118,1029.5771941530866]},"diat31":{"description":"Tonos-31 Diatonic. The disjunctive and conjunctive diatonic forms are the same  ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,176.20966599512542,304.50791069493965,443.08057159886295,516.7612251958349,593.7176300994937,758.7218585994156,941.1255707334756]},"diat33":{"description":"Tonos-33 Diatonic. The conjunctive form  is 23 (Bb instead of B) 20 18 33/2     ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,165.00422849992202,347.40794063398204,551.3179423647567,624.9985959617287,701.9550008653874,866.9592293653092,1049.3629414993693]},"diat_chrom":{"description":"Diatonic- Chromatic, on the border between the chromatic and diatonic genera    ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,247.7410529609115,498.04499913461245,701.9550008653874,821.3978091264848,949.6960538262991]},"diat_dies2":{"description":"Dorian Diatonic, 2 part Diesis","size":7,"tune":440,"center":69,"range":1200,"cents":[0,33.33333,300,500,700,733.33333,1000]},"diat_dies5":{"description":"Dorian Diatonic, 5 part Diesis","size":7,"tune":440,"center":69,"range":1200,"cents":[0,83.33333,300,500,700,783.33333,1000]},"diat_enh":{"description":"Diat. + Enharm. Diesis, Dorian Mode","size":7,"tune":440,"center":69,"range":1200,"cents":[0,50,300,500,700,750,1000]},"diat_enh2":{"description":"Diat. + Enharm. Diesis, Dorian Mode 3 + 12 + 15 parts","size":7,"tune":440,"center":69,"range":1200,"cents":[0,50,250,500,700,750,950]},"diat_enh3":{"description":"Diat. + Enharm. Diesis, Dorian Mode, 15 + 3 + 12 parts","size":7,"tune":440,"center":69,"range":1200,"cents":[0,250,300,500,700,950,1000]},"diat_enh4":{"description":"Diat. + Enharm. Diesis, Dorian Mode, 15 + 12 + 3 parts","size":7,"tune":440,"center":69,"range":1200,"cents":[0,250,450,500,700,950,1150]},"diat_enh5":{"description":"Dorian Mode, 12 + 15 + 3 parts","size":7,"tune":440,"center":69,"range":1200,"cents":[0,200,450,500,700,900,1150]},"diat_enh6":{"description":"Dorian Mode, 12 + 3 + 15 parts","size":7,"tune":440,"center":69,"range":1200,"cents":[0,200,250,500,700,900,950]},"diat_eq":{"description":"Equal Diatonic, Islamic form, similar to 11/10 x 11/10 x 400/363","size":7,"tune":440,"center":69,"range":1200,"cents":[0,166.66667,333.33333,500,700,866.66667,1033.33333]},"diat_eq2":{"description":"Equal Diatonic, 11/10 x 400/363 x 11/10                                         ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,165.00422849992202,333.0407706346908,498.04499913461245,701.9550008653874,866.9592293653092,1034.995771500078]},"diat_hemchrom":{"description":"Diat. + Hem. Chrom. Diesis, Another genus of Aristoxenos, Dorian Mode","size":7,"tune":440,"center":69,"range":1200,"cents":[0,75,300,500,700,775,1000]},"diat_smal":{"description":"\"Smallest number\" diatonic scale                                                ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,386.3137138648348,498.04499913461245,701.9550008653874,884.3587129994474,968.8259064691249]},"diat_sofchrom":{"description":"Diat. + Soft Chrom. Diesis, Another genus of Aristoxenos, Dorian Mode","size":7,"tune":440,"center":69,"range":1200,"cents":[0,66.66667,300,500,700,766.66667,1000]},"diat_soft":{"description":"Soft Diatonic genus 5 + 10 + 15 parts","size":7,"tune":440,"center":69,"range":1200,"cents":[0,83.33333,250,500,700,783.33333,950]},"diat_soft2":{"description":"Soft Diatonic genus with equally divided Pyknon; Dorian Mode","size":7,"tune":440,"center":69,"range":1200,"cents":[0,125,250,500,700,825,950]},"diat_soft3":{"description":"New Soft Diatonic genus with equally divided Pyknon; Dorian Mode; 1:1 pyknon    ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,125,375,500,700,825,1075]},"diat_soft4":{"description":"New Soft Diatonic genus with equally divided Pyknon; Dorian Mode; 1:1 pyknon    ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,250,375,500,700,950,1075]},"didy_chrom":{"description":"Didymus Chromatic                                                               ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,182.40371213406007,498.04499913461245,701.9550008653874,813.6862861351652,884.3587129994474]},"didy_chrom1":{"description":"Permuted Didymus Chromatic                                                      ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,427.3725722703304,498.04499913461245,701.9550008653874,813.6862861351652,1129.3275731357178]},"didy_chrom2":{"description":"Didymos's Chromatic, 6/5 x 25/24 x 16/15                                        ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,315.64128700055255,386.3137138648348,498.04499913461245,701.9550008653874,1017.5962878659401,1088.2687147302222]},"didy_chrom3":{"description":"Didymos's Chromatic, 25/24 x 16/15 x 6/5                                        ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,182.40371213406007,498.04499913461245,701.9550008653874,772.6274277296696,884.3587129994474]},"didy_diat":{"description":"Didymus Diatonic                                                                ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,294.13499740383764,498.04499913461245,701.9550008653874,813.6862861351652,996.0899982692251]},"didy_enh":{"description":"Dorian mode of Didymos's Enharmonic                                             ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,54.9644275357497,111.73128526977776,498.04499913461245,701.9550008653874,756.9194284011371,813.6862861351652]},"didy_enh2":{"description":"Permuted Didymus Enharmonic                                                     ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,111.73128526977776,498.04499913461245,701.9550008653874,792.1799965384502,813.6862861351652]},"didymus19sync":{"description":"Didymus[19] hobbit (81/80) in synchronized tuning ! 3-2x, 5-x, 7-2x, where x is the smaller root of 16x^4 - 96x^3 + 216x^2 - 200x + 1","size":19,"tune":440,"center":69,"range":1200,"cents":[0,41.37646,119.28478,192.28609,233.66254,311.57087,384.57217,462.4805,503.85696,545.23341,654.76659,696.14304,737.5195,815.42783,888.42913,966.33746,1007.71391,1080.71522,1158.62354]},"diesic-m":{"description":"Minimal Diesic temperament, g=176.021, 5-limit","size":7,"tune":440,"center":69,"range":1200,"cents":[0,176.02067,352.04134,528.06201,704.08268,880.10335,1056.12402]},"diesic-t":{"description":"Tiny Diesic temperament, g=443.017, 5-limit","size":19,"tune":440,"center":69,"range":1200,"cents":[0,73.18474,129.05038,202.23513,258.10077,331.28551,387.15115,443.01679,516.20154,572.06718,645.25192,701.11756,774.3023,830.16795,886.03359,959.21833,1015.08397,1088.26871,1144.13436]},"diff19-9-4":{"description":"Scale derived from (19,9,4) Type Q cyclic difference set, 19-tET","size":10,"tune":440,"center":69,"range":1200,"cents":[0,63.15789,252.63158,315.78947,378.94737,442.10526,568.42105,694.73684,1010.52632,1073.68421]},"diff31-h8":{"description":"(31, 15, 7) type H8 cyclic difference set, 31-tET","size":16,"tune":440,"center":69,"range":1200,"cents":[0,38.70968,77.41935,116.12903,154.83871,232.25806,309.67742,464.51613,580.64516,619.35484,658.06452,890.32258,929.03226,1045.16129,1122.58065,1161.29032]},"diff31-q":{"description":"(31, 15, 7) type Q cyclic difference set, 31-tET","size":16,"tune":440,"center":69,"range":1200,"cents":[0,38.70968,77.41935,154.83871,193.54839,270.96774,309.67742,348.3871,387.09677,541.93548,619.35484,696.77419,735.48387,774.19355,967.74194,1083.87097]},"diff31_72":{"description":"Diff31, 11/9, 4/3, 7/5, 3/2, 7/4, 9/5 difference diamond, tempered to 72-tET","size":31,"tune":440,"center":69,"range":1200,"cents":[0,50,83.33333,116.66667,150,200,233.33333,266.66667,316.66667,350,383.33333,433.33333,466.66667,516.66667,533.33333,583.33333,616.66667,666.66667,683.33333,733.33333,766.66667,816.66667,850,883.33333,933.33333,966.66667,1000,1050,1083.33333,1116.66667,1150]},"diminished":{"description":"Diminished temperament, g=94.134357 period=300.0, 7-limit","size":20,"tune":440,"center":69,"range":1200,"cents":[0,76.53743,94.13436,188.26871,282.40307,300,376.53743,394.13436,488.26871,582.40307,600,676.53743,694.13436,788.26871,882.40307,900,976.53743,994.13436,1088.26871,1182.40307]},"dimteta":{"description":"A heptatonic form on 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","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,203.91000173077484,296.08871819177193,405.8662826736155,498.04499913461245,609.7762844043904,701.9550008653874,794.1337173263846,903.911281808228,998.0437190571595,1107.8212835390032]},"duodenarium":{"description":"Ellis's Duodenarium : genus [3^12 5^8]                                          ","size":117,"tune":440,"center":69,"range":1200,"cents":[0,19.552568808780734,21.50628959671478,41.058858405495585,49.166137267567336,51.119858055501524,62.56514800221031,70.67242686428234,72.62614765221637,90.22499567306306,92.17871646099708,111.73128526977776,113.68500605771193,131.2838540785586,133.23757486649274,141.3448537285644,152.7901436752734,154.74386446320736,162.8511433252793,182.40371213406007,184.35743292199416,203.91000173077484,223.46257053955554,225.41629132748983,244.96886013627025,253.07613899834226,255.0298597862764,266.47514973298536,274.582428595057,294.13499740383764,296.08871819177193,315.64128700055255,335.1938558093333,337.14757659726763,345.2548554593393,356.700145406048,364.8074242681199,366.76114505605415,386.3137138648348,405.8662826736155,407.8200034615497,427.3725722703304,435.47985113240236,446.9251410791111,448.8788618670454,456.986140729117,458.9398615170512,476.5387095378977,478.4924303258319,498.04499913461245,499.9987199225468,517.5975679433934,519.5512887313275,539.1038575401082,541.0575783280424,549.164857190114,560.6101471368231,568.7174259988948,570.6711467868289,590.2237155956096,609.7762844043904,611.7300051923246,631.2825740011052,639.389852863177,650.8351428098861,652.7888635978201,660.896142459892,680.4487112686725,682.4024320566068,701.9550008653874,721.507569674168,723.4612904621023,743.013859270883,751.1211381329547,753.0748589208889,764.5201488675978,772.6274277296696,792.1799965384502,794.1337173263846,813.6862861351652,833.2388549439457,835.1925757318802,843.299854593952,854.7451445406608,862.8524234027326,864.8061441906668,884.3587129994474,886.3124337873816,903.911281808228,905.8650025961623,925.417571404943,927.3712921928769,944.9701402137238,946.9238610016578,955.0311398637298,956.9848606516638,968.4301505983727,976.5374294604446,996.0899982692251,998.0437190571595,1017.5962878659401,1037.148856674721,1039.102577462655,1047.2098563247266,1058.6551462714353,1066.7624251335073,1068.7161459214417,1088.2687147302222,1107.8212835390032,1109.775004326937,1129.3275731357178,1137.4348519977896,1148.8801419444985,1150.8338627324326,1158.9411415945044,1178.4937104032851,1180.4474311912193]},"duodene":{"description":"Ellis's Duodene : genus [33355]","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,813.6862861351652,884.3587129994474,1017.5962878659401,1088.2687147302222]},"duodene14-18-21":{"description":"14-18-21 Duodene                                                                ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,203.91000173077484,266.87090560373764,435.0840952616501,498.04499913461245,638.9940969924247,701.9550008653874,764.9159047383502,933.1290943962623,968.8259064691249,1137.0390961270373]},"duodene3-11_9":{"description":"3-11/9 Duodene                                                                    ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,150.6370585006306,203.91000173077484,347.40794063398204,354.54706023140557,498.04499913461245,551.3179423647567,701.9550008653874,845.4529397685943,852.5920593660182,1049.3629414993693,1056.5020610967929]},"duodene6-7-9":{"description":"6-7-9 Duodene                                                                   ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,231.17409353087498,266.87090560373764,435.0840952616501,470.7809073345124,498.04499913461245,701.9550008653874,764.9159047383502,933.1290943962623,968.8259064691249,1137.0390961270373]},"duodene_double":{"description":"Ellis's Duodene union 11/9 times the duodene in 240-tET","size":24,"tune":440,"center":69,"range":1200,"cents":[0,35,115,165,200,235,315,350,385,465,500,550,585,665,700,735,815,850,885,935,1015,1050,1085,1165]},"duodene_min":{"description":"Minor Duodene","size":12,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,519.5512887313275,701.9550008653874,813.6862861351652,884.3587129994474,1017.5962878659401,1088.2687147302222]},"duodene_r-45":{"description":"Ellis's Duodene rotated -45 degrees","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,203.91000173077484,315.64128700055255,427.3725722703304,519.5512887313275,631.2825740011052,743.013859270883,772.6274277296696,884.3587129994474,996.0899982692251,1088.2687147302222]},"duodene_r45":{"description":"Ellis's Duodene rotated 45 degrees","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,111.73128526977776,203.91000173077484,315.64128700055255,427.3725722703304,660.896142459892,772.6274277296696,884.3587129994474,976.5374294604446,996.0899982692251,1088.2687147302222]},"duodene_skew":{"description":"Rotated 6/5x3/2 duodene                                                         ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,133.23757486649274,182.40371213406007,315.64128700055255,386.3137138648348,498.04499913461245,631.2825740011052,701.9550008653874,813.6862861351652,884.3587129994474,1017.5962878659401,1129.3275731357178]},"duodene_t":{"description":"Duodene with equal tempered fifths                                              ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,113.68629,200,313.68629,386.3137138648348,500,586.31371,700,813.6862861351652,886.31371,1013.68629,1086.31371]},"duodene_w":{"description":"Ellis duodene well-tuned to fifth=(7168/11)^(1/16) third=(11/7)^(1/2), G.W. 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pentads","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,582.51219260429,701.9550008653874,813.6862861351652,884.3587129994474,1017.5962878659401,1080.5571917389027]},"dwarf12marv":{"description":"Marvelous dwarf: 1/4 kleismic tempered duodene","size":12,"tune":440,"center":69,"range":1200,"cents":[0,131.309694,200.05424,315.641287,431.228334,515.695527,631.282574,700.02712,815.614167,900.08136,1015.668407,1131.255454]},"dwarf13_7d":{"description":"Dwarf(<13 21 30 37|)","size":13,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,231.17409353087498,266.87090560373764,386.3137138648348,498.04499913461245,617.4878073957099,701.9550008653874,729.2190926654876,884.3587129994474,933.1290943962623,1088.2687147302222,1115.5328065303224]},"dwarf13marv":{"description":"Semimarvelous dwarf: 1/4 kleismic dwarf(<13 20 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septimis triplex [335577]                      ","size":27,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,111.73128526977776,119.44280826109726,155.13962033395975,231.17409353087498,266.87090560373764,315.64128700055255,342.905378800653,386.3137138648348,470.7809073345124,498.04499913461245,546.8153805314276,582.51219260429,617.4878073957099,653.1846194685722,701.9550008653874,729.2190926654876,813.6862861351652,857.0946211993472,884.3587129994474,933.1290943962623,968.8259064691249,1044.8603796660404,1080.5571917389027,1088.2687147302222,1115.5328065303224]},"efg3357":{"description":"Genus enharmonicum vocale [3357]                                                ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,155.13962033395975,266.87090560373764,386.3137138648348,470.7809073345124,498.04499913461245,653.1846194685722,701.9550008653874,857.0946211993472,884.3587129994474,968.8259064691249,1088.2687147302222]},"efg335711":{"description":"Genus 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","size":7,"tune":440,"center":69,"range":1200,"cents":[0,39.800236722239255,80.53703503024445,498.04499913461245,701.9550008653874,741.7552375876265,782.4920358956317]},"enh15":{"description":"Tonos-15 Enharmonic                                                             ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,58.69152057713581,119.44280826109726,536.9507723654654,701.9550008653874,745.7860520955244,790.7556985979196]},"enh15_inv":{"description":"Inverted Enharmonic Tonos-15 Harmonia                                           ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,409.24430140208034,454.2139479044758,498.04499913461245,663.0492276345343,1080.5571917389027,1141.3084794228644]},"enh15_inv2":{"description":"Inverted  harmonic form of the enharmonic Tonos-15                              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Tone 24 alternates with 23 as MESE or A                    ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,56.766857734028186,115.45837831116357,443.08057159886295,516.7612251958349,593.7176300994937,633.5178668217327,674.254665129738]},"enh31_con":{"description":"Conjunct Tonos-31 Enharmonic                                                    ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,56.766857734028186,115.45837831116357,443.08057159886295,516.7612251958349,554.8118568686406,593.7176300994937,941.1255707334756]},"enh33":{"description":"Tonos-33 Enharmonic                                                             ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,108.23737076589377,551.3179423647567,701.9550008653874,741.7552375876265,782.4920358956317]},"enh33_con":{"description":"Conjunct Tonos-33 Enharmonic                                                    ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,108.23737076589377,551.3179423647567,587.7663212169793,624.9985959617287,1049.3629414993693]},"enh_invcon":{"description":"Inverted Enharmonic Conjunct Phrygian Harmonia                                  ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,138.57266090392307,603.00040863502,653.1846194685722,701.9550008653874,1126.319346403028,1163.5516211477773]},"enh_mod":{"description":"Enharmonic After Wilson's Purvi Modulations, See page 111                       ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,266.87090560373764,498.04499913461245,701.9550008653874,764.9159047383502,813.6862861351652]},"enh_perm":{"description":"Permuted Enharmonic, After Wilson's Marwa Permutations, See page 110.           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TL 23-9-1998                    ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,119.44280826109726,150.6370585006306,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,470.7809073345124,498.04499913461245,551.3179423647567,582.51219260429,617.4878073957099,701.9550008653874,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,1017.5962878659401,1088.2687147302222]},"erlich7":{"description":"Meantone-like circle of sinuoidally varying fifths, TL 08-12-99                 ","size":26,"tune":440,"center":69,"range":1200,"cents":[0,71.4,105,128.9,193,257.1,281,314.6,386,438.6,458,504.1,577.1,616.8,637.7,696.4,764.8,793,821.2,889.6,948.3,969.2,1008.9,1081.9,1128,1147.4]},"erlich8":{"description":"Two 12-tET scales 15 cents shifted, Paul Erlich                                 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Monochord (a mode of Ellis's duodene) (1739), genus [33355]             ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,203.91000173077484,274.582428595057,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,772.6274277296696,884.3587129994474,976.5374294604446,1088.2687147302222]},"euler20":{"description":"Genus [3333555] tempered by 225/224-planar","size":20,"tune":440,"center":69,"range":1200,"cents":[0,83.6767,152.13946,199.68304,268.1458,351.8225,384.15214,399.36609,467.82884,583.83518,652.29794,699.84152,768.30428,783.51823,851.98098,899.52456,967.98732,1083.99366,1152.45642,1167.67037]},"euler24":{"description":"Genus [33333555] tempered by 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","size":8,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,174.6921891427403,498.04499913461245,561.0059030075751,609.7762844043904,672.7371882773531]},"even12a":{"description":"first maximally even {15/14,16/15,21/20,25/24} scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,155.13962033395975,266.87090560373764,386.3137138648348,470.7809073345124,590.2237155956096,701.9550008653874,772.6274277296696,857.0946211993472,968.8259064691249,1088.2687147302222]},"even12b":{"description":"second maximally even {15/14,16/15,21/20,25/24} scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,196.19847873945548,315.64128700055255,386.3137138648348,498.04499913461245,582.51219260429,701.9550008653874,786.4221943350649,898.1534796048427,968.8259064691249,1088.2687147302222]},"exptriad2":{"description":"Two times expanded major 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12-tET","size":12,"tune":440,"center":69,"range":1200,"cents":[0,99.90660437922274,194.36097559607174,298.4149354280685,396.56784482444533,502.3249371588435,601.9918248319135,696.2319078879411,796.4599345626812,891.2015442364675,1000.369936293456,1103.0608143407446]},"farey12_116":{"description":"Common denominator=116 Farey approximation to 12-tET, well-temperament","size":12,"tune":440,"center":69,"range":1200,"cents":[0,101.44021225400124,197.26418148105873,300.6521539807164,398.2122765029341,501.7720921759986,599.4852113886138,701.9550008653874,798.697153115329,899.2191823464465,1002.6071548461039,1100.1672773683217]},"farey12_65":{"description":"Common denominator=65 Farey approximation to 12-tET","size":12,"tune":440,"center":69,"range":1200,"cents":[0,103.38797249965747,200.94809502187528,293.30247319973626,402.22102990755496,504.69081938432845,601.4329716342702,693.0540349904079,796.9592569857166,894.9798140981663,1002.7358185189413,1104.1760307729426]},"farey12_80":{"description":"Common denominator=80 Farey approximation to 12-tET","size":12,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,203.91000173077484,297.5130161323026,403.54006543731884,503.4466698165414,597.9010410333907,701.9550008653874,800.1079102617641,905.8650025961623,1005.5318902692327,1099.7719733252598]},"farey3":{"description":"Farey fractions between 0 and 1 until 3rd level, normalised by 2/1              ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,315.64128700055255,498.04499913461245,701.9550008653874,813.6862861351652]},"farey4":{"description":"Farey fractions between 0 and 1 until 4th level, normalised by 2/1              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Jedrzejewski continued fractions approx. of 54-tet 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Jedrzejewski continued fractions approx. of 55-tet 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Jedrzejewski continued fractions approx. of 5-tet ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,239.92508461050244,479.91672826636255,719.8954106245533,959.6416194170026]},"fj-60tet":{"description":"Franck Jedrzejewski continued fractions approx. of 60-tet 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Jedrzejewski continued fractions approx. of 66-tet 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Jedrzejewski continued fractions approx. of 72-tet 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Jedrzejewski continued fractions approx. of 78-tet 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Jedrzejewski continued fractions approx. of 7-tet ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,171.54954461045173,342.482662634698,514.6119585646493,685.3880414353508,857.517337365302,1028.4504553895486]},"fj-84tet":{"description":"Franck Jedrzejewski continued fractions approx. of 84-tet 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Jedrzejewski continued fractions approx. of 8-tet ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,150.6370585006306,299.9739036100171,450.04731761630967,600.0883237615718,750.1819090042261,900.0260963899831,1049.3629414993693]},"fj-90tet":{"description":"Franck Jedrzejewski continued fractions approx. of 90-tet 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Jedrzejewski continued fractions approx. of 96-tet 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Jedrzejewski continued fractions approx. of 9-tet ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,133.23757486649274,266.87090560373764,400.1084804702302,533.1625125408461,666.6224673944092,800.909593095755,933.1290943962623,1066.7624251335073]},"flattone12":{"description":"Flattone[12] in 13-limit POTE tuning","size":12,"tune":440,"center":69,"range":1200,"cents":[0,134.71117,186.11553,320.8267,372.23106,506.94223,558.3466,693.05777,827.76894,879.1733,1013.88447,1065.28883]},"flavel":{"description":"Bill Flavel's just tuning, mode of Ellis's Just Harmonium. Tuning List 06-05-98","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,182.40371213406007,203.91000173077484,386.3137138648348,498.04499913461245,568.7174259988948,701.9550008653874,772.6274277296696,884.3587129994474,996.0899982692251,1088.2687147302222]},"flippery9":{"description":"A 9-note flippery scale","size":9,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,315.64128700055255,386.3137138648348,590.2237155956096,701.9550008653874,813.6862861351652,884.3587129994474,1088.2687147302222]},"fogliano":{"description":"Fogliano's Monochord with D-/D and Bb-/Bb","size":14,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,182.40371213406007,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,568.7174259988948,701.9550008653874,772.6274277296696,884.3587129994474,996.0899982692251,1017.5962878659401,1088.2687147302222]},"fogliano1":{"description":"Fogliano's Monochord no.1, Musica theorica (1529). Fokker block 81/80 128/125","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,182.40371213406007,315.64128700055255,386.3137138648348,498.04499913461245,568.7174259988948,701.9550008653874,772.6274277296696,884.3587129994474,996.0899982692251,1088.2687147302222]},"fogliano2":{"description":"Fogliano's Monochord no.2                                                       ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,568.7174259988948,701.9550008653874,772.6274277296696,884.3587129994474,1017.5962878659401,1088.2687147302222]},"fokker-h":{"description":"Fokker-H 5-limit per.bl. synt.comma&small diesis, KNAW B71, 1968                ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,182.40371213406007,274.582428595057,315.64128700055255,386.3137138648348,427.3725722703304,498.04499913461245,568.7174259988948,631.2825740011052,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,925.417571404943,1017.5962878659401,1088.2687147302222,1129.3275731357178]},"fokker-ht":{"description":"Tempered version of Fokker-H per.bl. with better 6 tetrads, OdC                 ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,69.30466,115.48142,183.57143,269.36988,315.48232,384.3824,431.05761,499.97378,568.70373,631.29627,700.02622,768.94239,815.6176,884.51768,930.63012,1016.42857,1084.51858,1130.69534]},"fokker-k":{"description":"Fokker-K 5-limit per.bl. of 225/224 & 81/80 & 10976/10935, KNAW B71, 1968       ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,133.23757486649274,182.40371213406007,253.07613899834226,315.64128700055255,386.3137138648348,448.8788618670454,498.04499913461245,568.7174259988948,631.2825740011052,701.9550008653874,751.1211381329547,813.6862861351652,884.3587129994474,946.9238610016578,1017.5962878659401,1066.7624251335073,1129.3275731357178]},"fokker-l":{"description":"Fokker-L 7-limit periodicity block 10976/10935 & 225/224 & 15625/15552, 1969    ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,133.63333073724476,190.11523512537957,244.96886013627025,315.64128700055255,378.6021908735153,449.2746177377975,505.75652212593207,568.7174259988948,631.2825740011052,694.2434778740679,750.7253822622025,821.3978091264848,884.3587129994474,955.0311398637298,1009.8847648746205,1066.3666692627553,1137.0390961270373]},"fokker-lt":{"description":"Tempered version of Fokker-L per.bl. with more triads                           ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,67.78818,133.37074,188.80751,249.65319,315.3695,383.07905,451.53821,503.52651,567.66084,632.33916,696.4735,748.46179,816.92095,884.6305,950.34681,1011.19249,1066.62926,1132.21182]},"fokker-m":{"description":"Fokker-M 7-limit periodicity block 81/80 & 225/224 & 1029/1024, KNAW B72, 1969  ","size":31,"tune":440,"center":69,"range":1200,"cents":[0,27.26409180010014,84.46719346967761,111.73128526977776,155.13962033395975,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,342.905378800653,386.3137138648348,435.0840952616501,470.7809073345124,498.04499913461245,546.8153805314276,582.51219260429,617.4878073957099,653.1846194685722,701.9550008653874,729.2190926654876,764.9159047383502,813.6862861351652,857.0946211993472,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1044.8603796660404,1088.2687147302222,1115.5328065303224,1172.7359081998998]},"fokker-n":{"description":"Fokker-N 7-limit periodicity block 81/80 & 2100875/2097152 & 1029/1024, 1969    ","size":31,"tune":440,"center":69,"range":1200,"cents":[0,27.26409180010014,76.03447319691549,103.29856499701549,155.13962033395975,182.40371213406007,231.17409353087498,258.4381853309754,315.64128700055255,342.905378800653,394.7464341375971,422.01052593769737,470.7809073345124,498.04499913461245,546.8153805314276,574.0794723315278,625.920527668472,653.1846194685722,701.9550008653874,729.2190926654876,777.9894740623026,805.2535658624031,857.0946211993472,884.3587129994474,941.5618146690248,968.8259064691249,1017.5962878659401,1044.8603796660404,1096.7014350029845,1123.9655268030847,1172.7359081998998]},"fokker-n2":{"description":"Fokker-N different block 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","size":31,"tune":440,"center":69,"range":1200,"cents":[0,41.058858405495585,76.03447319691549,119.44280826109726,155.13962033395975,182.40371213406007,231.17409353087498,272.23295193637074,310.2792406679195,350.6169017919724,386.3137138648348,427.3725722703304,463.0693843431928,505.75652212593207,541.4533341987946,582.51219260429,617.4878073957099,658.5466658012054,694.2434778740679,736.9306156568072,772.6274277296696,813.6862861351652,849.3830982080276,889.7207593320807,927.7670480636294,968.8259064691249,1017.5962878659401,1044.8603796660404,1080.5571917389027,1123.9655268030847,1158.9411415945044]},"fokker-q":{"description":"Fokker-Q 7-limit per.bl. 225/224 & 4000/3969 & 6144/6125, KNAW B72, 1969        ","size":53,"tune":440,"center":69,"range":1200,"cents":[0,27.26409180010014,48.77038139681492,70.67242686428234,84.46719346967761,111.73128526977776,146.7069000611977,155.13962033395975,182.40371213406007,203.91000173077484,231.17409353087498,244.96886013627025,266.87090560373764,301.84652039515726,315.64128700055255,342.905378800653,359.0496220647346,386.3137138648348,413.57780566493494,427.3725722703304,456.986140729117,470.7809073345124,498.04499913461245,519.5512887313275,546.8153805314276,568.7174259988948,582.51219260429,617.4878073957099,631.2825740011052,653.1846194685722,680.4487112686725,701.9550008653874,729.2190926654876,743.013859270883,772.6274277296696,786.4221943350649,813.6862861351652,840.9503779352654,857.0946211993472,884.3587129994474,898.1534796048427,933.1290943962623,955.0311398637298,968.8259064691249,996.0899982692251,1017.5962878659401,1044.8603796660404,1053.2930999388022,1088.2687147302222,1115.5328065303224,1129.3275731357178,1151.229618603185,1172.7359081998998]},"fokker-r":{"description":"Fokker-R 7-limit per.bl. 4375/4374 & 65625/65536 & 6144/6125, 1969              ","size":53,"tune":440,"center":69,"range":1200,"cents":[0,21.902045467466987,43.408335064181976,70.67242686428234,89.8292398023107,111.73128526977776,133.63333073724476,160.50166666659294,182.40371213406007,203.91000173077484,225.8120471982421,247.31833679495682,272.23295193637074,294.13499740383764,315.64128700055255,337.54333246801957,364.4116683973676,386.3137138648348,408.21575933230196,427.3725722703304,454.6366640704306,476.1429536671453,498.04499913461245,519.5512887313275,541.4533341987946,568.7174259988948,590.2237155956096,609.7762844043904,631.2825740011052,658.5466658012054,680.4487112686725,701.9550008653874,723.8570463328547,745.3633359295693,772.6274277296696,791.7842406676981,813.6862861351652,835.5883316026325,862.4566675319803,884.3587129994474,905.8650025961623,927.7670480636294,952.6816632050433,974.1879528017579,996.0899982692251,1017.5962878659401,1039.4983333334073,1066.3666692627553,1088.2687147302222,1110.1707601976893,1129.3275731357178,1156.5916649358182,1178.097954532533]},"fokker-s":{"description":"Fokker-S 7-limit per.bl. 4375/4374 & 323/322 & 64827/65536, 1969                ","size":53,"tune":440,"center":69,"range":1200,"cents":[0,27.26409180010014,48.77038139681492,76.03447319691549,79.10514713704443,106.3692389371447,133.23757486649274,155.13962033395975,182.40371213406007,209.27204806340782,231.17409353087498,258.4381853309754,261.5088592711043,288.37719520045226,315.64128700055255,337.54333246801957,364.4116683973676,391.6757601974678,413.57780566493494,422.01052593769737,443.51681553441216,470.7809073345124,498.04499913461245,519.5512887313275,546.8153805314276,574.0794723315278,595.981517798995,604.0184822010051,625.920527668472,653.1846194685722,680.4487112686725,701.9550008653874,729.2190926654876,756.483184465588,777.9894740623026,786.4221943350649,808.3242398025321,835.5883316026325,862.4566675319803,884.3587129994474,911.6228047995478,938.4911407288957,941.5618146690248,968.8259064691249,990.7279519365921,1017.5962878659401,1044.8603796660404,1066.7624251335073,1093.6307610628553,1120.8948528629558,1123.9655268030847,1151.229618603185,1172.7359081998998]},"fokker_12":{"description":"Fokker's 7-limit 12-tone just scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,203.91000173077484,266.87090560373764,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,821.3978091264848,884.3587129994474,968.8259064691249,1088.2687147302222]},"fokker_12a":{"description":"Fokker's 7-limit periodicity block of 2048/2025 & 3969/4000 & 225/224","size":12,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,196.19847873945548,288.37719520045226,386.3137138648348,498.04499913461245,590.2237155956096,694.2434778740679,786.4221943350649,898.1534796048427,996.0899982692251,1088.2687147302222]},"fokker_12b":{"description":"Fokker's 7-limit semitone scale KNAW B72, 1969                                  ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,196.19847873945548,288.37719520045226,413.57780566493494,498.04499913461245,590.2237155956096,701.9550008653874,786.4221943350649,898.1534796048427,1003.8015212605447,1107.8212835390032]},"fokker_12c":{"description":"Fokker's 7-limit complementary semitone scale, KNAW B72, 1969","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,196.19847873945548,301.84652039515726,413.57780566493494,498.04499913461245,609.7762844043904,701.9550008653874,786.4221943350649,911.6228047995478,1003.8015212605447,1107.8212835390032]},"fokker_12m":{"description":"Fokker's 12-tone 31-tET mode, has 3 4:5:6:7 tetrads + 3 inv.","size":12,"tune":440,"center":69,"range":1200,"cents":[0,116.12903,193.54839,270.96774,387.09677,503.22581,580.64516,696.77419,812.90323,890.32258,967.74194,1083.87097]},"fokker_12t":{"description":"Tempered version of fokker_12.scl with egalised 225/224, see also lumma.scl     ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,114.61072,199.23744,268.08492,384.35188,499.28244,584.20487,699.21999,815.58633,884.32517,968.96547,1083.57434]},"fokker_12t2":{"description":"Another tempered version of fokker_12.scl with egalised 225/224                 ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,114.60324,199.20699,268.10105,384.35373,499.3874,584.17762,699.21129,815.46396,884.3587129994474,968.96178,1083.56502]},"fokker_22":{"description":"Fokker's 22-tone periodicity block of 2048/2025 & 3125/3072. KNAW B71, 1968     ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,162.8511433252793,203.91000173077484,274.582428595057,315.64128700055255,386.3137138648348,427.3725722703304,498.04499913461245,519.5512887313275,590.2237155956096,660.896142459892,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,925.417571404943,976.5374294604446,1017.5962878659401,1088.2687147302222,1129.3275731357178]},"fokker_22a":{"description":"Fokker's 22-tone periodicity block of 2048/2025 & 2109375/2097152 = semicomma   ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,51.119858055501524,111.73128526977776,162.8511433252793,223.46257053955554,274.582428595057,315.64128700055255,386.3137138648348,427.3725722703304,498.04499913461245,539.1038575401082,590.2237155956096,660.896142459892,701.9550008653874,772.6274277296696,813.6862861351652,864.8061441906668,925.417571404943,976.5374294604446,1037.148856674721,1088.2687147302222,1129.3275731357178]},"fokker_31":{"description":"Fokker's 31-tone just 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comma","size":31,"tune":440,"center":69,"range":1200,"cents":[0,29.613568458786794,70.67242686428234,111.73128526977776,162.8511433252793,203.91000173077484,233.52357018956155,274.582428595057,315.64128700055255,345.2548554593393,386.3137138648348,427.3725722703304,456.986140729117,498.04499913461245,549.164857190114,590.2237155956096,631.2825740011052,660.896142459892,701.9550008653874,731.5685693241742,772.6274277296696,813.6862861351652,843.299854593952,884.3587129994474,913.972281458234,976.5374294604446,1017.5962878659401,1047.2098563247266,1088.2687147302222,1129.3275731357178,1158.9411415945044]},"fokker_31d2":{"description":"Reduced version of fokker_31d by Prooijen 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","size":41,"tune":440,"center":69,"range":1200,"cents":[0,21.50628959671478,62.960903872962575,84.46719346967761,119.44280826109726,140.94909785781223,182.40371213406007,203.91000173077484,238.8856165221948,266.87090560373764,301.84652039515726,315.64128700055255,357.0959012768006,378.6021908735153,400.1084804702302,435.0840952616501,463.0693843431928,498.04499913461245,519.5512887313275,561.0059030075751,582.51219260429,617.4878073957099,638.9940969924247,680.4487112686725,701.9550008653874,736.9306156568072,764.9159047383502,799.8915195297698,821.3978091264848,842.9040987231996,884.3587129994474,898.1534796048427,933.1290943962623,961.1143834778053,996.0899982692251,1017.5962878659401,1059.0509021421879,1080.5571917389027,1115.5328065303224,1137.0390961270373,1178.4937104032851]},"fokker_41a":{"description":"Fokker's 41-tone periodicity block of schisma & 34171875/33554432               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","size":41,"tune":440,"center":69,"range":1200,"cents":[0,21.50628959671478,70.67242686428234,92.17871646099708,111.73128526977776,162.8511433252793,182.40371213406007,203.91000173077484,223.46257053955554,274.582428595057,296.08871819177193,315.64128700055255,366.76114505605415,386.3137138648348,407.8200034615497,456.986140729117,478.4924303258319,498.04499913461245,519.5512887313275,568.7174259988948,590.2237155956096,609.7762844043904,660.896142459892,682.4024320566068,701.9550008653874,723.4612904621023,772.6274277296696,794.1337173263846,813.6862861351652,864.8061441906668,884.3587129994474,905.8650025961623,955.0311398637298,976.5374294604446,996.0899982692251,1017.5962878659401,1068.7161459214417,1088.2687147302222,1109.775004326937,1158.9411415945044,1180.4474311912193]},"fokker_53":{"description":"Fokker's 53-tone system, degree 37 has alternatives                             ","size":53,"tune":440,"center":69,"range":1200,"cents":[0,13.794766605395326,43.408335064181976,70.67242686428234,84.46719346967761,111.73128526977776,133.23757486649274,155.13962033395975,182.40371213406007,203.91000173077484,231.17409353087498,239.60681380363727,266.87090560373764,288.37719520045226,315.64128700055255,337.14757659726763,359.0496220647346,386.3137138648348,400.1084804702302,427.3725722703304,456.986140729117,470.7809073345124,498.04499913461245,519.5512887313275,541.4533341987946,555.24810080419,582.51219260429,617.4878073957099,631.2825740011052,653.1846194685722,674.6909090652873,701.9550008653874,729.2190926654876,737.6518129382499,777.9894740623026,786.4221943350649,813.6862861351652,835.1925757318802,857.0946211993472,884.3587129994474,898.1534796048427,933.1290943962623,941.5618146690248,968.8259064691249,996.0899982692251,1017.5962878659401,1039.4983333334073,1053.2930999388022,1088.2687147302222,1115.5328065303224,1129.3275731357178,1151.229618603185,1172.7359081998998]},"fokker_53a":{"description":"Fokker's 53-tone periodicity block of schisma & kleisma                         ","size":53,"tune":440,"center":69,"range":1200,"cents":[0,21.50628959671478,51.119858055501524,70.67242686428234,92.17871646099708,113.68500605771193,141.3448537285644,162.8511433252793,182.40371213406007,203.91000173077484,225.41629132748983,253.07613899834226,274.582428595057,296.08871819177193,315.64128700055255,345.2548554593393,366.76114505605415,386.3137138648348,407.8200034615497,427.3725722703304,456.986140729117,478.4924303258319,498.04499913461245,519.5512887313275,549.164857190114,568.7174259988948,590.2237155956096,611.7300051923246,639.389852863177,660.896142459892,682.4024320566068,701.9550008653874,723.4612904621023,751.1211381329547,772.6274277296696,794.1337173263846,813.6862861351652,843.299854593952,864.8061441906668,884.3587129994474,905.8650025961623,927.3712921928769,955.0311398637298,976.5374294604446,998.0437190571595,1017.5962878659401,1047.2098563247266,1066.7624251335073,1088.2687147302222,1109.775004326937,1137.4348519977896,1158.9411415945044,1180.4474311912193]},"fokker_53b":{"description":"Fokker's 53-tone periodicity block of schisma & 2109375/2097152                 ","size":53,"tune":440,"center":69,"range":1200,"cents":[0,19.552568808780734,41.058858405495585,70.67242686428234,92.17871646099708,111.73128526977776,133.23757486649274,162.8511433252793,182.40371213406007,203.91000173077484,223.46257053955554,244.96886013627025,274.582428595057,294.13499740383764,315.64128700055255,335.1938558093333,366.76114505605415,386.3137138648348,407.8200034615497,427.3725722703304,456.986140729117,478.4924303258319,498.04499913461245,519.5512887313275,539.1038575401082,568.7174259988948,590.2237155956096,609.7762844043904,631.2825740011052,660.896142459892,682.4024320566068,701.9550008653874,721.507569674168,743.013859270883,772.6274277296696,794.1337173263846,813.6862861351652,833.2388549439457,864.8061441906668,884.3587129994474,905.8650025961623,925.417571404943,944.9701402137238,976.5374294604446,996.0899982692251,1017.5962878659401,1037.148856674721,1068.7161459214417,1088.2687147302222,1107.8212835390032,1129.3275731357178,1158.9411415945044,1180.4474311912193]},"fokker_av":{"description":"Fokker's suggestion for a shrinked octave by averaging approximations","size":31,"tune":440,"center":69,"range":1198.2,"cents":[0,38.65161,77.30323,115.95484,154.60645,193.25806,231.90968,270.56129,309.2129,347.86452,386.51613,425.16774,463.81935,502.47097,541.12258,579.77419,618.42581,657.07742,695.72903,734.38065,773.03226,811.68387,850.33548,888.9871,927.63871,966.29032,1004.94194,1043.59355,1082.24516,1120.89677,1159.54839]},"fokker_bosch":{"description":"Scale of \"Naar Den Bosch toe\", genus diatonicum cum septimis. 1/1=D","size":9,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,386.3137138648348,470.7809073345124,498.04499913461245,701.9550008653874,884.3587129994474,968.8259064691249,1088.2687147302222]},"fokker_sr":{"description":"Fokker's 7-limit sruti scale, KNAW B72, 1969                                    ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,48.77038139681492,111.73128526977776,160.50166666659294,218.1005242069225,266.87090560373764,323.3528099918721,378.6021908735153,435.0840952616501,490.33347614329296,546.8153805314276,590.2237155956096,653.1846194685722,701.9550008653874,764.9159047383502,813.6862861351652,876.6471900081278,925.417571404943,981.8994757930775,1031.7868103420878,1088.2687147302222,1143.5180956118652]},"fokker_sr2":{"description":"Fokker's complementary 7-limit sruti scale, KNAW B72, 1969                      ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,56.481904388134645,111.73128526977776,168.2131896579122,218.1005242069225,274.582428595057,323.3528099918721,386.3137138648348,435.0840952616501,498.04499913461245,546.8153805314276,609.7762844043904,653.1846194685722,709.666523856707,764.9159047383502,821.3978091264848,876.6471900081278,933.1290943962623,981.8994757930775,1039.4983333334073,1088.2687147302222,1151.229618603185]},"fokker_sra":{"description":"Two-step approximation 9-13 to Fokker's 7-limit sruti scale                     ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,53.06891,109.74715,162.81606,215.88498,268.95389,322.0228,378.70104,435.37928,488.44819,541.5171,594.58602,651.26425,704.33317,761.0114,817.68964,874.36787,927.43679,980.5057,1033.57461,1086.64353,1143.32176]},"fokker_uv":{"description":"Table of Unison Vectors, Microsons and Minisons, from article KNAW, 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Foote, piano temperament. TL 9 Jun 1999, almost equal to Coleman             ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,97,197,297,394,501,595,699,797,896,999,1094]},"foote2":{"description":"Ed Foote�s temperament with 1/6, 1/8 and 1/12 Pyth comma fractions","size":12,"tune":440,"center":69,"range":1200,"cents":[0,98.045,197.0675,298.045,394.135,501.955,596.09,699.0225,798.045,896.09,1000,1094.135]},"forster":{"description":"Cris Forster's Chrysalis tuning, XH 7+8                                         ","size":32,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,138.57266090392307,165.00422849992202,231.17409353087498,289.209719404554,347.40794063398204,386.3137138648348,435.0840952616501,454.2139479044758,470.7809073345124,519.5512887313275,551.3179423647567,582.51219260429,617.4878073957099,636.6176600385357,648.6820576352434,680.4487112686725,701.9550008653874,729.2190926654876,745.7860520955244,764.9159047383502,813.6862861351652,852.5920593660182,905.8650025961623,910.7902805954461,933.1290943962623,968.8259064691249,996.0899982692251,1061.427339096077,1088.2687147302222,1146.7270567698558]},"fortuna11":{"description":"11-limit scale from Clem Fortuna","size":12,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,231.17409353087498,266.87090560373764,417.50796410436817,470.7809073345124,617.4878073957099,729.2190926654876,782.4920358956317,933.1290943962623,968.8259064691249,1115.5328065303224]},"fortuna_a1":{"description":"Clem Fortuna, Arabic mode of 24-tET, try C or G major, superset of Basandida, trivalent","size":12,"tune":440,"center":69,"range":1200,"cents":[0,100,200,300,350,500,600,700,800,900,1000,1050]},"fortuna_a2":{"description":"Clem Fortuna, Arabic mode of 24-tET, try C or F minor","size":12,"tune":440,"center":69,"range":1200,"cents":[0,100,150,300,400,500,600,700,852.5920593660182,900,1000,1100]},"fortuna_bag":{"description":"Bagpipe tuning from Fortuna, try key of G with F natural","size":12,"tune":440,"center":69,"range":1200,"cents":[0,29.849602366834993,187.68186881108048,256.5964893996286,343.0906465036566,493.95707740271337,548.64834422734,684.7286492929034,729.8787360528041,871.9483799336966,985.7989252534486,1049.3629414993693]},"fortuna_eth":{"description":"Ethiopian Tunings from Fortuna","size":12,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,170.42280584691346,269.84809300824367,369.74675443479833,484.02683307745014,595.1489935948936,669.5945437450644,795.5580152669153,830.2532455652018,1012.6569576992619,1065.030324889905]},"fortuna_sheng":{"description":"Sheng scale on naturals starting on d, from Fortuna","size":12,"tune":440,"center":69,"range":1200,"cents":[0,88.1545943292254,159.9198370361569,309.35730896117605,350.1193492525318,498.04499913461245,586.8456968671446,658.1239496352505,810.4533551320493,875.2228920675972,1005.8987160040656,1067.7804986994925]},"francis_924-1":{"description":"J. Charles Francis, Bach temperament for BWV 924 version 1 (2005)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.18,203.91000173077484,296.09,400.65167,500,590.225,701.9550008653874,794.135,905.8650025961623,998.045,1095.43833]},"francis_924-2":{"description":"J. Charles Francis, Bach temperament for BWV 924 version 2 (2005)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.18,203.91000173077484,296.09,400.65167,500,590.225,701.9550008653874,801.30333,905.8650025961623,998.045,1095.43833]},"francis_924-3":{"description":"J. Charles Francis, Bach temperament for BWV 924 version 3 (2005)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,99.34833,203.91000173077484,303.25833,400.65167,507.16834,597.39333,701.9550008653874,801.30333,905.8650025961623,1005.21334,1095.43833]},"francis_924-4":{"description":"J. Charles Francis, Bach temperament for BWV 924 version 4 (2005)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,99.34833,203.91000173077484,303.25833,400.65167,507.16834,597.39333,701.9550008653874,808.47167,905.8650025961623,1005.21334,1095.43833]},"francis_r12-14p":{"description":"Bach WTC theoretical temperament, 1/14 Pyth. comma, Cornet-ton, same Maunder III","size":12,"tune":440,"center":69,"range":1200,"cents":[0,100.27929,197.20714,300.83786,394.41428,501.39643,598.32428,698.60357,800.55857,895.81071,1001.11714,1096.36928]},"francis_r12-2":{"description":"J. Charles Francis, Bach WTC temperament R12-2, fifths beat ratios 0, 1, 2. C=279.331 Cornet-ton","size":12,"tune":440,"center":69,"range":1200,"cents":[0,100.62819,197.00984,301.28636,394.76319,501.14108,598.67319,697.8182,800.63282,895.27348,1001.50455,1096.71819]},"francis_r2-1":{"description":"J. Charles Francis, Bach WTC temperament R2-1, fifths beat ratios 0, 1, 2. C=249.072 Cammerton","size":12,"tune":440,"center":69,"range":1200,"cents":[0,95.2136,198.49541,299.1236,395.50525,499.78177,593.2586,699.63654,797.1686,896.31362,999.12823,1093.76889]},"francis_r2-14p":{"description":"Bach WTC theoretical temperament, 1/14 Pyth. comma, Cammerton","size":12,"tune":440,"center":69,"range":1200,"cents":[0,95.25214,198.88286,299.16214,396.09,499.72071,593.29714,700.27929,797.20714,897.48643,999.44143,1094.69357]},"francis_seal":{"description":"J. Charles Francis, Bach tuning interpretion as beats/sec. from seal","size":12,"tune":440,"center":69,"range":1200,"cents":[0,91.9662,196.15,295.876,391.05,499.786,590.011,697.303,793.921,891.872,997.831,1089.29]},"francis_suppig":{"description":"J. Charles Francis, Suppig Calculus musicus, 5ths beat ratios 0, 1, 2.","size":12,"tune":440,"center":69,"range":1200,"cents":[0,94.7,196.9,297.3,394.5,501.2,592.8,697.7,796.7,895,999.3,1093.1]},"freiberg":{"description":"Temperament of G. Silbermann organ (1735), St. Petri in Freiberg (1985), a=476.3","size":12,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,196.09,298.045,394.135,500,590.225,698.045,790.225,896.09,1000,1092.18]},"freivald-star":{"description":"Jake Freivald, starling scale, approximately 8, 15, 20, 25, 28, 32, 40, 45, 60, 65, 72, 77 steps of 77-tET","size":12,"tune":440,"center":69,"range":1200,"cents":[0,123.54,232.173,311.102,390.031,434.641,498.663,622.203,701.132,933.304,1012.233,1120.866]},"freivald11":{"description":"Jake Freivald, scale derived mostly from elevens (2011)","size":17,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,150.6370585006306,221.3094853649131,284.44703676101926,347.40794063398204,417.50796410436817,498.04499913461245,582.51219260429,648.6820576352434,701.9550008653874,782.4920358956317,852.5920593660182,915.5529632389809,996.0899982692251,1049.3629414993693,1119.4629649697556]},"freivald_canton":{"description":"Jake Freivald, a 2.3.11/7.13/7 subgroup scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,128.29824469981426,203.91000173077484,289.209719404554,417.50796410436817,498.04499913461245,573.6567561655729,701.9550008653874,782.4920358956317,910.7902805954461,996.0899982692251,1071.7017553001858]},"freivald_lucky":{"description":"Jake Freivald, Lucky sevens and elevens, two chords 3/2 apart, superparticular","size":9,"tune":440,"center":69,"range":1200,"cents":[0,150.6370585006306,289.209719404554,417.50796410436817,582.51219260429,701.9550008653874,852.5920593660182,991.1647202699413,1119.4629649697556]},"freivald_sub":{"description":"Jake Freivald, just scale in 5.11.31 subgroup. TL 30-5-2011","size":12,"tune":440,"center":69,"range":1117.224434203742,"cents":[0,56.30525686499085,191.47453743118896,247.77979429618,372.4081447345806,428.7134015995716,563.8826821657696,620.1879390307607,744.8162894691613,801.1215463341523,936.2908269003503,992.5960837653414]},"freivald_sup":{"description":"Jake Freivald, 4/3 divided into 7 superparticulars, repeated at 3/2, and the 4/3-3/2 divide split into 25/24, 26/25, 27/26","size":17,"tune":440,"center":69,"range":1200,"cents":[0,80.53703503024445,157.49343993390326,231.17409353087498,301.84652039515726,369.74675443479833,435.0840952616501,498.04499913461245,568.7174259988948,636.6176600385357,701.9550008653874,782.4920358956317,859.4484407992906,933.1290943962623,1003.8015212605447,1071.7017553001858,1137.0390961270373]},"freivaldthree":{"description":"JI tritave repeating scale, similar to ennon13. Mode of the 13-note tritave MOS of ennealimmal","size":13,"tune":440,"center":69,"range":1901.9550008653873,"cents":[0,133.23757486649274,266.47514973298536,399.7127245994778,617.8835632664624,751.1211381329547,884.3587129994474,1017.5962878659401,1150.8338627324326,1284.0714375989255,1502.2422762659096,1635.4798511324022,1768.717425998895]},"fribourg":{"description":"Manderscheidt organ in Fribourg (1640), modified meantone","size":12,"tune":440,"center":69,"range":1200,"cents":[0,91.2025,195.1125,306.8425,387.29249,500.9775,589.2475,698.045,781.42749,892.18,1004.8875,1087.29249]},"frischknecht2":{"description":"Frischknecht II organ temperament, 1/8 P","size":12,"tune":440,"center":69,"range":1200,"cents":[0,96.09,198.045,300,396.09,500.9775,597.0675,699.0225,798.045,897.0675,1001.955,1095.1125]},"fusc4":{"description":"All rationals with fusc value <= 4","size":15,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,498.04499913461245,701.9550008653874,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1088.2687147302222]},"fusc5":{"description":"All rationals with fusc value <= 5","size":23,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,111.73128526977776,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,359.4723382306895,386.3137138648348,498.04499913461245,551.3179423647567,582.51219260429,617.4878073957099,648.6820576352434,701.9550008653874,813.6862861351652,840.5276617693106,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1088.2687147302222,1095.044590499593]},"fusc6":{"description":"All rationals with fusc value <= 6","size":35,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,111.73128526977776,119.44280826109726,138.57266090392307,150.6370585006306,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,359.4723382306895,386.3137138648348,435.0840952616501,498.04499913461245,551.3179423647567,582.51219260429,596.9995913649802,603.00040863502,617.4878073957099,648.6820576352434,701.9550008653874,764.9159047383502,813.6862861351652,840.5276617693106,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401,1049.3629414993693,1061.427339096077,1080.5571917389027,1088.2687147302222,1095.044590499593]},"gabler":{"description":"In 1982 reconstructed temperament of organ in Weingarten by Joseph Gabler (1737-1750)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,85.43524,194.917,304.98525,390.90925,500.9775,588.17224,700,785.43524,892.91312,1002.98138,1088.17224]},"galilei":{"description":"Vincenzo Galilei's approximation","size":12,"tune":440,"center":69,"range":1200,"cents":[0,103,198,301,396,495,594,693,792,891,990,1089]},"gamelan_udan":{"description":"Gamelan Udan Mas (approx) s6,p6,p7,s1,p1,s2,p2,p3,s3,p4,s5,p5                   ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,0,182.40371213406007,266.87090560373764,427.3725722703304,510.367001679205,571.7256527315844,701.9550008653874,745.7860520955244,996.0899982692251,996.0899982692251,1126.319346403028]},"ganassi":{"description":"Sylvestro Ganassi's temperament (1543)                                          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,88.80069773253213,182.40371213406007,281.35830436442757,386.3137138648348,498.04499913461245,596.9995913649802,701.9550008653874,790.7556985979196,884.3587129994474,983.313305229815,1088.2687147302222]},"gann_arcana":{"description":"Kyle Gann, scale for Arcana XVI","size":24,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,111.73128526977776,203.91000173077484,266.87090560373764,315.64128700055255,347.40794063398204,386.3137138648348,470.7809073345124,498.04499913461245,519.5512887313275,582.51219260429,663.0492276345343,701.9550008653874,733.7216544988166,813.6862861351652,845.4529397685943,884.3587129994474,898.1534796048427,968.8259064691249,1017.5962878659401,1049.3629414993693,1088.2687147302222,1161.094226769147]},"gann_charingcross":{"description":"Kyle Gann, scale for Charing Cross (2007)","size":39,"tune":440,"center":69,"range":1200,"cents":[0,21.50628959671478,26.84137563414541,53.27294323014412,119.44280826109726,155.13962033395975,191.8456041340673,203.91000173077484,235.67665536420398,320.14384883388163,323.3528099918721,342.482662634698,386.3137138648348,407.8200034615497,470.7809073345124,505.75652212593207,519.5512887313275,524.8863747687582,551.3179423647567,590.2237155956096,609.3535682384356,653.1846194685722,670.7607506258543,701.9550008653874,728.7963764995328,737.6518129382499,755.2279440955316,821.3978091264848,840.5276617693106,884.3587129994474,905.8650025961623,933.1290943962623,937.6316562295916,968.8259064691249,1003.8015212605447,1044.4376635000854,1088.2687147302222,1102.6358847295135,1172.7359081998998]},"gann_cinderella":{"description":"Kyle Gann, scale for Cinderella's Bad Magic","size":30,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,84.46719346967761,92.17871646099708,133.23757486649274,203.91000173077484,274.582428595057,315.64128700055255,386.3137138648348,427.3725722703304,456.986140729117,498.04499913461245,519.5512887313275,568.7174259988948,590.2237155956096,631.2825740011052,663.0492276345343,701.9550008653874,733.7216544988166,772.6274277296696,813.6862861351652,835.1925757318802,884.3587129994474,955.0311398637298,968.8259064691249,1017.5962878659401,1039.4983333334073,1088.2687147302222,1129.3275731357178,1158.9411415945044]},"gann_custer":{"description":"Kyle Gann, scale from Custer's Ghost to Sitting Bull, 1/1=G                     ","size":31,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,84.46719346967761,111.73128526977776,165.00422849992202,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,347.40794063398204,386.3137138648348,435.0840952616501,470.7809073345124,498.04499913461245,519.5512887313275,551.3179423647567,582.51219260429,648.6820576352434,701.9550008653874,764.9159047383502,813.6862861351652,852.5920593660182,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401,1049.3629414993693,1088.2687147302222,1146.7270567698558]},"gann_fractured":{"description":"Kyle Gann, scale from Fractured Paradise, 1/1=B                                 ","size":16,"tune":440,"center":69,"range":1200,"cents":[0,21.50628959671478,203.91000173077484,266.87090560373764,288.37719520045226,315.64128700055255,498.04499913461245,519.5512887313275,582.51219260429,701.9550008653874,723.4612904621023,786.4221943350649,813.6862861351652,835.1925757318802,968.8259064691249,1017.5962878659401]},"gann_fugitive":{"description":"Kyle Gann, scale for Fugitive Objects (2007)","size":21,"tune":440,"center":69,"range":1200,"cents":[0,35.69681207286232,84.46719346967761,138.57266090392307,203.91000173077484,231.17409353087498,235.67665536420398,266.87090560373764,315.64128700055255,347.40794063398204,386.3137138648348,470.7809073345124,551.3179423647567,582.51219260429,648.6820576352434,701.9550008653874,782.4920358956317,840.5276617693106,968.8259064691249,1049.3629414993693,1168.8057497604666]},"gann_ghost":{"description":"Kyle Gann, scale from Ghost Town, 1/1=E                                         ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,266.87090560373764,470.7809073345124,498.04499913461245,701.9550008653874,764.9159047383502,968.8259064691249]},"gann_love":{"description":"Kyle Gann, scale for Love Scene","size":21,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,70.67242686428234,155.13962033395975,203.91000173077484,320.14384883388163,386.3137138648348,407.8200034615497,470.7809073345124,551.3179423647567,590.2237155956096,653.1846194685722,701.9550008653874,755.2279440955316,772.6274277296696,905.8650025961623,937.6316562295916,968.8259064691249,1088.2687147302222,1102.6358847295135,1172.7359081998998]},"gann_new_aunts":{"description":"Kyle Gann, scale from New Aunts (2008), 1/1=A","size":27,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,165.00422849992202,182.40371213406007,203.91000173077484,266.87090560373764,315.64128700055255,386.3137138648348,407.8200034615497,435.0840952616501,449.2746177377975,498.04499913461245,551.3179423647567,590.2237155956096,638.9940969924247,653.1846194685722,701.9550008653874,764.9159047383502,813.6862861351652,821.3978091264848,884.3587129994474,905.8650025961623,968.8259064691249,1088.2687147302222,1137.0390961270373,1151.229618603185,1172.7359081998998]},"gann_revisited":{"description":"Kyle Gann, scale for The Day Revisited (2005)","size":29,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,150.6370585006306,155.13962033395975,182.40371213406007,203.91000173077484,231.17409353087498,386.3137138648348,435.0840952616501,470.7809073345124,498.04499913461245,551.3179423647567,590.2237155956096,617.4878073957099,648.6820576352434,680.4487112686725,701.9550008653874,737.6518129382499,755.2279440955316,772.6274277296696,852.5920593660182,884.3587129994474,905.8650025961623,933.1290943962623,937.6316562295916,968.8259064691249,1034.995771500078,1088.2687147302222,1172.7359081998998]},"gann_sitting":{"description":"Kyle Gann, tuning for Sitting Bull (1998), 1/1=B","size":21,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,288.37719520045226,315.64128700055255,498.04499913461245,546.8153805314276,582.51219260429,674.6909090652873,680.4487112686725,701.9550008653874,764.9159047383502,786.4221943350649,813.6862861351652,968.8259064691249,996.0899982692251,1017.5962878659401,1088.2687147302222,1172.7359081998998]},"gann_solitaire":{"description":"Kyle Gann, scale from Solitaire (2009), 1/1=Eb","size":36,"tune":440,"center":69,"range":1200,"cents":[0,26.84137563414541,53.27294323014412,119.44280826109726,155.13962033395975,182.40371213406007,203.91000173077484,231.17409353087498,235.67665536420398,315.64128700055255,320.14384883388163,342.482662634698,386.3137138648348,435.0840952616501,439.58665709497893,470.7809073345124,498.04499913461245,551.3179423647567,609.3535682384356,617.4878073957099,653.1846194685722,701.9550008653874,755.2279440955316,840.5276617693106,857.0946211993472,884.3587129994474,905.8650025961623,933.1290943962623,937.6316562295916,968.8259064691249,1017.5962878659401,1044.4376635000854,1088.2687147302222,1115.5328065303224,1141.5416579603664,1172.7359081998998]},"gann_suntune":{"description":"Kyle Gann, tuning for Sun Dance / Battle of the Greasy Grass River, 1/1=F#","size":30,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,150.6370585006306,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,301.84652039515726,315.64128700055255,386.3137138648348,470.7809073345124,498.04499913461245,519.5512887313275,551.3179423647567,582.51219260429,617.4878073957099,648.6820576352434,680.4487112686725,701.9550008653874,813.6862861351652,821.3978091264848,852.5920593660182,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1003.8015212605447,1017.5962878659401,1088.2687147302222,1115.5328065303224]},"gann_super":{"description":"Kyle Gann, scale from Superparticular Woman (1992), 1/1=G                       ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,165.00422849992202,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,551.3179423647567,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,782.4920358956317,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401]},"gann_things":{"description":"Kyle Gann, scale from How Miraculous Things Happen, 1/1=A                       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(1967)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,100.278,200.377,300.297,400.287,500.029,600.195,700.189,800.15,900.169,1000.118,1100.052]},"golden_5":{"description":"Golden pentatonic                                                               ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,386.3137138648348,470.7809073345124,701.9550008653874,840.5276617693106]},"gorgo-pelog":{"description":"Pelog-like subset of gorgo[9]","size":7,"tune":440,"center":69,"range":1205.82004,"cents":[0,64.82352,293.02282,521.22213,684.59791,749.42143,977.62074]},"gradus10":{"description":"Intervals > 1 with Gradus = 10                                                  ","size":27,"tune":440,"center":69,"range":10800,"cents":[0,182.40371213406007,231.17409353087498,266.87090560373764,1088.2687147302222,2105.8650025961624,2196.0899982692254,2217.59628786594,2666.870905603738,2715.641287000553,3213.6862861351656,4070.7809073345124,4372.627427729671,4484.358712999448,5390.22371559561,6407.820003461549,6470.780907334512,6498.044999134613,6772.627427729669,6968.825906469126,7790.22371559561,8288.268714730222,8786.313713864834,8807.82000346155,9305.865002596163,9803.910001730774,10301.955000865388]},"gradus10m":{"description":"Intervals > 1 with Gradus <= 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> 1 with Gradus = 3                                                   ","size":2,"tune":440,"center":69,"range":2400,"cents":[0,1901.9550008653873]},"gradus4":{"description":"Intervals > 1 with Gradus = 4                                                   ","size":3,"tune":440,"center":69,"range":3600,"cents":[0,701.9550008653874,3101.9550008653873]},"gradus5":{"description":"Intervals > 1 with Gradus = 5                                                   ","size":5,"tune":440,"center":69,"range":4800,"cents":[0,498.04499913461245,2786.3137138648344,3803.910001730775,4301.955000865388]},"gradus6":{"description":"Intervals > 1 with Gradus = 6                                                   ","size":7,"tune":440,"center":69,"range":6000,"cents":[0,1586.3137138648349,1698.0449991346125,2603.910001730775,3986.3137138648353,5003.910001730775,5501.955000865389]},"gradus7":{"description":"Intervals > 1 with Gradus = 7                                                   ","size":11,"tune":440,"center":69,"range":7200,"cents":[0,386.3137138648348,884.3587129994474,1403.9100017307749,2898.0449991346127,3368.825906469125,4688.268714730222,5186.313713864835,5705.865002596163,6203.910001730775,6701.955000865387]},"gradus8":{"description":"Intervals > 1 with Gradus = 8                                                   ","size":15,"tune":440,"center":69,"range":8400,"cents":[0,203.91000173077484,315.64128700055255,813.6862861351652,2084.3587129994476,2168.825906469125,3488.2687147302227,4098.044999134613,4505.865002596162,4568.825906469125,5888.268714730222,6386.313713864835,6905.865002596163,7403.910001730775,7901.955000865387]},"gradus9":{"description":"Intervals > 1 with Gradus = 9                                                   ","size":21,"tune":440,"center":69,"range":9600,"cents":[0,968.8259064691249,996.0899982692251,1017.5962878659401,1466.8709056037378,1515.6412870005524,2013.6862861351653,2288.2687147302227,3284.358712999447,3305.8650025961624,5270.780907334512,5298.044999134613,5572.627427729669,5768.825906469125,6590.22371559561,7088.268714730222,7586.313713864834,7607.82000346155,8105.865002596163,8603.910001730776,9101.955000865388]},"grady11":{"description":"Kraig Grady's dual [5 7 9 11] hexany scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,101.86667710381555,182.40371213406007,266.87090560373764,417.50796410436817,536.9507723654654,638.9940969924247,701.9550008653874,821.3978091264848,972.0348676271155,1056.5020610967929,1137.0390961270373]},"grady_14":{"description":"Kraig Grady, letter to Lou Harrison, published in 1/1 vol. 7 no. 1, 1991, 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Also Marpurg nr.6 and Baron von Wiese and Maria Renold","size":12,"tune":440,"center":69,"range":1200,"cents":[0,101.955,203.91000173077484,305.865,407.8200034615497,498.04499913461245,600,701.9550008653874,803.91,905.8650025961623,1007.82,1109.775004326937]},"graupner":{"description":"Johann Gottlieb Graupner's temperament (1819)                                   ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,99.38085,199.56283,299.18649,399.59949,499.43999,600.05924,700.09326,799.57803,899.85889,999.57536,1100.07666]},"groenewald":{"description":"J�rgen Gr�newald, new meantone temperament (2001)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,101.955,193.15686,304.88814,396.09,498.04499913461245,600,701.9550008653874,803.91,895.11186,1006.84314,1098.045]},"groenewald_21":{"description":"J�rgen Gr�newald, just tuning (2000)","size":21,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,111.73128526977776,182.40371213406007,203.91000173077484,294.13499740383764,315.64128700055255,386.3137138648348,405.8662826736155,498.04499913461245,590.2237155956096,609.7762844043904,701.9550008653874,794.1337173263846,813.6862861351652,884.3587129994474,905.8650025961623,996.0899982692251,1017.5962878659401,1088.2687147302222,1107.8212835390032]},"groenewald_bach":{"description":"J�rgen Gr�newald, simplified Bach temperament, Ars Organi vol.57 no.1, March 2009, p.39","size":12,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,189.25008,294.13499740383764,386.60605,498.04499913461245,588.2699948076753,693.17509,792.1799965384502,887.27506,996.0899982692251,1086.80812]},"groven":{"description":"Eivind Groven's 36-tone scale with 1/8-schisma temp. fifths and 5/4 (1948)      ","size":36,"tune":440,"center":69,"range":1200,"cents":[0,20.52943,70.91664,91.44607,111.9755,182.89214,203.42157,223.951,274.33821,294.86764,315.39707,386.3137138648348,406.84314,427.3725722703304,477.75979,498.28921,518.81864,569.20586,589.73529,610.26471,681.18136,701.71079,722.24021,772.6274277296696,793.15686,813.6862861351652,884.60293,905.13236,925.66179,976.049,996.57843,1017.10786,1067.49507,1088.0245,1108.55393,1179.47057]},"groven_ji":{"description":"Untempered version of Groven's 36-tone scale","size":36,"tune":440,"center":69,"range":1200,"cents":[0,21.50628959671478,70.67242686428234,92.17871646099708,111.73128526977776,182.40371213406007,203.91000173077484,223.46257053955554,274.582428595057,294.13499740383764,315.64128700055255,386.3137138648348,407.8200034615497,427.3725722703304,478.4924303258319,498.04499913461245,519.5512887313275,568.7174259988948,590.2237155956096,609.7762844043904,680.4487112686725,701.9550008653874,721.507569674168,772.6274277296696,794.1337173263846,813.6862861351652,884.3587129994474,905.8650025961623,925.417571404943,976.5374294604446,996.0899982692251,1017.5962878659401,1066.7624251335073,1088.2687147302222,1107.8212835390032,1180.4474311912193]},"guanyin22":{"description":"Guanyin[22] {176/175, 540/539} hobbit in 111-tET","size":22,"tune":440,"center":69,"range":1200,"cents":[0,43.24324,108.10811,162.16216,227.02703,270.27027,313.51351,389.18919,432.43243,497.2973,540.54054,583.78378,659.45946,702.7027,767.56757,810.81081,886.48649,929.72973,972.97297,1037.83784,1091.89189,1156.75676]},"guanyintet5":{"description":"Guanyintet[5] 2.5.7/3.11/3 subgroup MOS in 70\\311 tuning","size":5,"tune":440,"center":69,"range":1200,"cents":[0,270.09646,540.19293,810.28939,1080.38585]},"guiron77":{"description":"Guiron[77] (118&159 temperament) in 159-tET","size":77,"tune":440,"center":69,"range":1200,"cents":[0,22.64151,30.18868,52.83019,60.37736,83.01887,90.56604,113.20755,120.75472,143.39623,150.9434,173.58491,181.13207,203.77359,211.32076,233.96226,256.60377,264.15094,286.79245,294.33962,316.98113,324.5283,347.16981,354.71698,377.35849,384.90566,407.54717,415.09434,437.73585,445.28302,467.92453,490.56604,498.11321,520.75472,528.30189,550.9434,558.49057,581.13207,588.67924,611.32075,618.86792,641.50943,649.0566,671.69811,679.24528,701.88679,709.43396,732.07547,754.71698,762.26415,784.90566,792.45283,815.09434,822.64151,845.28302,852.83019,875.4717,883.01887,905.66038,913.20755,935.84906,943.39623,966.03774,988.67924,996.22642,1018.86793,1026.41509,1049.0566,1056.60377,1079.24528,1086.79245,1109.43396,1116.98113,1139.62264,1147.16981,1169.81132,1177.35849]},"gunkali":{"description":"Indian mode Gunkali, see Dani�lou: Intr. to the Stud. of Mus. 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","size":7,"tune":440,"center":69,"range":1200,"cents":[0,354.54706023140557,386.3137138648348,417.50796410436817,648.6820576352434,1119.4629649697556,1160.199763277761]},"harm-dorinv1":{"description":"1st Inverted Schlesinger's Chromatic Dorian Harmonia                            ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,289.209719404554,354.54706023140557,417.50796410436817,648.6820576352434,1034.995771500078,1119.4629649697556]},"harm-lydchrinv1":{"description":"1st Inverted Schlesinger's Chromatic Lydian Harmonia                            ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,359.4723382306895,464.42774773109676,563.3823399614643,745.7860520955244,1061.427339096077,1132.099765960359]},"harm-lydeninv1":{"description":"1st Inverted Schlesinger's Enharmonic Lydian Harmonia                           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","size":8,"tune":440,"center":69,"range":1200,"cents":[0,386.3137138648348,470.7809073345124,551.3179423647567,628.2743472684155,701.9550008653874,968.8259064691249,1088.2687147302222]},"harm1c-hypol":{"description":"HarmC-Hypolydian                                                                ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,165.00422849992202,454.2139479044758,582.51219260429,701.9550008653874,813.6862861351652,918.6416956355724]},"harm1c-lydian":{"description":"Harm1C-Lydian                                                                   ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,65.33734082685181,128.29824469981426,563.3823399614643,656.9853543629919,745.7860520955244,830.2532455652018,910.7902805954461]},"harm1c-mix":{"description":"Harm1C-Con Mixolydian                                                           ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,617.4878073957099,701.9550008653874,782.4920358956317,1071.7017553001858,1137.0390961270373]},"harm1c-mixolydian":{"description":"Harm1C-Mixolydian                                                               ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,231.17409353087498,617.4878073957099,782.4920358956317,859.4484407992906,933.1290943962623]},"harm20_12":{"description":"12-tone subset of harmonics 20 to 40","size":12,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,165.00422849992202,315.64128700055255,386.3137138648348,454.2139479044758,582.51219260429,701.9550008653874,813.6862861351652,918.6416956355724,1017.5962878659401,1111.1993022674676]},"harm24_12":{"description":"12-tone subset of harmonics 24 to 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Harmonics 7-14                                                ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,435.0840952616501,617.4878073957099,782.4920358956317,933.1290943962623,1071.7017553001858]},"harmd-phr":{"description":"HarmD-Phryg (with 5 extra tones)                                                ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,138.57266090392307,203.91000173077484,266.87090560373764,386.3137138648348,498.04499913461245,701.9550008653874,795.5580152669153,884.3587129994474,968.8259064691249,1049.3629414993693]},"harme-hypod":{"description":"HarmE-Hypodorian                                                                ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,470.7809073345124,511.51770564251757,551.3179423647567,628.2743472684155,701.9550008653874,1088.2687147302222,1145.0355724642502]},"harme-hypol":{"description":"HarmE-Hypolydian                                                                ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,125.20399177768263,454.2139479044758,582.51219260429,701.9550008653874,758.7218585994156,813.6862861351652]},"harme-hypop":{"description":"HarmE-Hypophrygian                                                              ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,424.3643455376405,461.59662028239006,498.04499913461245,568.7174259988948,636.6176600385357,764.9159047383502,1101.0454077696324,1151.229618603185]},"harmf10":{"description":"6/7/8/9/10 harmonics","size":13,"tune":440,"center":69,"range":1200,"cents":[0,155.13962033395975,203.91000173077484,386.3137138648348,407.8200034615497,470.7809073345124,590.2237155956096,701.9550008653874,737.6518129382499,772.6274277296696,905.8650025961623,968.8259064691249,1172.7359081998998]},"harmf12":{"description":"First 12 harmonics of 6th through 12th harmonics. 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MD=15, No planetary assignment.           ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,247.7410529609115,315.64128700055255,386.3137138648348,536.9507723654654,617.4878073957099,701.9550008653874,790.7556985979196,884.3587129994474,983.313305229815,1088.2687147302222]},"harmjc-17-2":{"description":"Rationalized JC Sub-17 Harmonia on C. MD=17, No planetary assignment.           ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,216.686694770185,336.12950303128224,464.42774773109676,603.00040863502,676.6810622319916,753.6374671356506,834.174502165895,918.6416956355724,1007.4423933681048,1101.0454077696324]},"harmjc-17":{"description":"Rationalized JC Sub-17 Harmonia on C. MD=17, No planetary assignment.           ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,51.68246627026313,104.95540950040728,216.686694770185,336.12950303128224,464.42774773109676,532.3279817707378,603.00040863502,676.6810622319916,753.6374671356506,834.174502165895,918.6416956355724]},"harmjc-19-2":{"description":"Rationalized JC Sub-19 Harmonia on C. MD=19, No planetary assignment.           ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,93.6030144015278,192.55760663189534,297.5130161323026,409.24430140208034,528.6871096631778,591.6480135361404,656.9853543629919,724.8855884026331,795.5580152669153,869.2386688638873,946.1950737675459]},"harmjc-19":{"description":"Rationalized JC Sub-19 Harmonia on C. MD=19, No planetary assignment.           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","size":12,"tune":440,"center":69,"range":1200,"cents":[0,76.95640490365868,157.49343993390326,241.96063340358052,330.7613311361128,424.3643455376405,523.3189377680083,628.2743472684155,740.0056325381934,859.4484407992906,987.746685499105,1126.319346403028]},"harmjc-23":{"description":"Rationalized JC Sub-23 Harmonia on C. MD=23, No planetary assignment.           ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,76.95640490365868,241.96063340358052,330.7613311361128,424.3643455376405,628.2743472684155,740.0056325381934,859.4484407992906,922.4093446722533,987.746685499105,1055.6469195387458,1126.319346403028]},"harmjc-25":{"description":"Rationalized JC Sub-25 Harmonia on C. MD=25, No planetary assignment.           ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,221.3094853649131,301.84652039515726,386.3137138648348,568.7174259988948,667.6720182292624,772.6274277296696,884.3587129994474,1003.8015212605447,1066.7624251335073,1132.099765960359]},"harmjc-27":{"description":"Rationalized JC Sub-27 Harmonia on C. MD=27, No planetary assignment.           ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,65.33734082685181,203.91000173077484,277.59065532774696,354.54706023140557,519.5512887313275,608.3519864638596,701.9550008653874,800.909593095755,905.8650025961623,1017.5962878659401,1137.0390961270373]},"harmjc-hypod16":{"description":"Rationalized JC Hypodorian Harmonia on C. Saturn Scale on C, MD=16. (Steiner)   ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,231.17409353087498,294.13499740383764,359.4723382306895,498.04499913461245,571.7256527315844,648.6820576352434,729.2190926654876,813.6862861351652,902.4869838676973,996.0899982692251]},"harmjc-hypol20":{"description":"Rationalized JC Hypolydian Harmonia on C. Mars scale on C., MD=20               ","size":12,"tune":440,"center":69,"range":1365.0042284999222,"cents":[0,88.80069773253213,182.40371213406007,281.35830436442757,386.3137138648348,498.04499913461245,617.4878073957099,745.7860520955244,813.6862861351652,884.3587129994474,958.0393665964193,1200]},"harmjc-hypop18":{"description":"Rationalized JC Hypophrygian Harmonia on C. Jupiter scale on C, MD =18          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,98.95459223036757,203.91000173077484,315.64128700055255,435.0840952616501,563.3823399614643,631.2825740011052,701.9550008653874,775.6356544623594,852.5920593660182,933.1290943962623,1017.5962878659401]},"harmjc-lydian13":{"description":"Rationalized JC Lydian Harmonia on Schlesinger's Mercury scale on C, MD = 26 or 13","size":12,"tune":440,"center":69,"range":1200,"cents":[0,67.90023403964102,138.57266090392307,212.25331450089502,289.209719404554,454.2139479044758,543.014645637008,636.6176600385357,735.5722522689033,840.5276617693106,952.2589470390885,1071.7017553001858]},"harmjc-mix14":{"description":"Rationalized JC Mixolydian Harmonia on Schlesinger's Moon Scale on C, MD = 14","size":12,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,128.29824469981426,196.19847873945548,266.87090560373764,417.50796410436817,498.04499913461245,582.51219260429,671.3128903368223,764.9159047383502,863.8704969687176,968.8259064691249]},"harmjc-phryg12":{"description":"Rationalized JC Phrygian Harmonia on Schlesinger's Venus scale on C, MD = 24 or 12","size":12,"tune":440,"center":69,"range":1200,"cents":[0,73.68065359697194,150.6370585006306,231.17409353087498,315.64128700055255,498.04499913461245,596.9995913649802,701.9550008653874,813.6862861351652,933.1290943962623,996.0899982692251,1061.427339096077]},"harmonical":{"description":"See pages 17 and 466-468 of Helmholtz. 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","size":37,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,133.23757486649274,141.3448537285644,182.40371213406007,203.91000173077484,223.46257053955554,244.96886013627025,274.582428595057,315.64128700055255,364.8074242681199,386.3137138648348,427.3725722703304,456.986140729117,498.04499913461245,519.5512887313275,568.7174259988948,590.2237155956096,609.7762844043904,631.2825740011052,680.4487112686725,701.9550008653874,743.013859270883,772.6274277296696,813.6862861351652,835.1925757318802,884.3587129994474,925.417571404943,955.0311398637298,976.5374294604446,996.0899982692251,1017.5962878659401,1058.6551462714353,1066.7624251335073,1088.2687147302222,1129.3275731357178]},"hexany1":{"description":"Two out of 1 3 5 7 hexany on 1.3","size":6,"tune":440,"center":69,"range":1200,"cents":[0,266.87090560373764,386.3137138648348,653.1846194685722,884.3587129994474,968.8259064691249]},"hexany10":{"description":"1.3.5.9 Hexany and Lou Harrison's Joyous 6. 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Is Didymos Diatonic tetrachord on 1/1 and inv. on 3/2   ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,294.13499740383764,498.04499913461245,701.9550008653874,884.3587129994474,996.0899982692251]},"hexany22":{"description":"1.11.121.1331 Hexany, a degenerate pentatonic form                              ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,97.36411527048664,551.3179423647567,648.6820576352434,1102.6358847295135]},"hexany23":{"description":"1.3.11.33 Hexany, degenerate pentatonic form                                    ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,498.04499913461245,551.3179423647567,648.6820576352434,701.9550008653874]},"hexany24":{"description":"1.5.11.55 Hexany, a degenerate pentatonic form                                  ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,386.3137138648348,551.3179423647567,648.6820576352434,813.6862861351652]},"hexany25":{"description":"1.7.11.77 Hexany, a degenerate pentatonic form                                  ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,551.3179423647567,648.6820576352434,968.8259064691249]},"hexany26":{"description":"1.9.11.99 Hexany, a degenerate pentatonic form                                  ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,551.3179423647567,648.6820576352434,996.0899982692251]},"hexany3":{"description":"Hexany Cluster 3                                                                ","size":12,"tune":440,"center":69,"range":1129.3275731357178,"cents":[0,2,70.67242686428234,182.40371213406007,315.64128700055255,386.3137138648348,498.04499913461245,701.9550008653874,813.6862861351652,884.3587129994474,1017.5962878659401,1088.2687147302222]},"hexany4":{"description":"Hexany Cluster 4                                                                ","size":12,"tune":440,"center":69,"range":1088.2687147302222,"cents":[0,2,70.67242686428234,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,631.2825740011052,701.9550008653874,813.6862861351652,884.3587129994474,1017.5962878659401]},"hexany49":{"description":"1.3.21.49  2)4 hexany (1.21 tonic)                                              ","size":6,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,266.87090560373764,701.9550008653874,737.6518129382499,968.8259064691249]},"hexany5":{"description":"Hexany Cluster 5                                                                ","size":12,"tune":440,"center":69,"range":1129.3275731357178,"cents":[0,2,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,1017.5962878659401,1088.2687147302222]},"hexany6":{"description":"Hexany Cluster 6, periodicity block 125/108 and 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","size":12,"tune":440,"center":69,"range":1129.3275731357178,"cents":[0,2,70.67242686428234,315.64128700055255,386.3137138648348,456.986140729117,498.04499913461245,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,1088.2687147302222]},"hexany_1029":{"description":"Hexany gamelismic (1029/1024) 2.5.7 convex closure","size":10,"tune":440,"center":69,"range":1200,"cents":[0,111.01008798833513,231.17409353087498,386.3137138648348,462.34818706174997,617.4878073957099,693.5222805926251,848.661900926585,924.6963741235004,1079.83599445746]},"hexany_1728":{"description":"Hexany orwellismic (1728/1715) 2.3.7 convex closure","size":7,"tune":440,"center":69,"range":1200,"cents":[0,132.51637758504998,399.3872831887876,630.5613767196625,666.2581887925251,701.9550008653874,933.1290943962623]},"hexany_245":{"description":"Hexany sensamagic (245/243) 2.3.7 convex 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","size":25,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,111.73128526977776,119.44280826109726,155.13962033395975,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,470.7809073345124,498.04499913461245,546.8153805314276,582.51219260429,617.4878073957099,653.1846194685722,701.9550008653874,729.2190926654876,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,1044.8603796660404,1080.5571917389027,1088.2687147302222,1115.5328065303224]},"hexany_union":{"description":"The union of all of the pitches of the 1.3.5.7 hexany on each tone as 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","size":24,"tune":440,"center":69,"range":1200,"cents":[0,35.69681207286232,119.44280826109726,155.13962033395975,182.40371213406007,231.17409353087498,266.87090560373764,386.3137138648348,422.01052593769737,470.7809073345124,498.04499913461245,533.741811207475,617.4878073957099,653.1846194685722,701.9550008653874,737.6518129382499,764.9159047383502,884.3587129994474,920.0555250723099,933.1290943962623,968.8259064691249,1088.2687147302222,1115.5328065303224,1151.229618603185]},"hexanys-valentino":{"description":"hexanys tempered in 13-limit POTE-tuned valentino","size":12,"tune":440,"center":69,"range":1200,"cents":[0,155.91598,203.24381,389.78995,467.74794,593.03376,701.6219,857.53788,904.86571,966.12603,1091.41185,1169.36984]},"hexanys":{"description":"Hexanys 1 3 5 7 9                                                               ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,155.13962033395975,203.91000173077484,386.3137138648348,470.7809073345124,590.2237155956096,701.9550008653874,857.0946211993472,905.8650025961623,968.8259064691249,1088.2687147302222,1172.7359081998998]},"hexanys2":{"description":"Hexanys 1 3 7 11 13                                                             ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,191.8456041340673,320.14384883388163,342.482662634698,470.7809073345124,551.3179423647567,609.3535682384356,701.9550008653874,840.5276617693106,968.8259064691249,1022.0988496992691]},"hexlesfip22":{"description":"15-limit, 10 cent lesfip; no consonances smaller than 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","size":8,"tune":440,"center":69,"range":1200,"cents":[0,386.3137138648348,420.5966965009598,454.2139479044758,582.51219260429,701.9550008653874,1111.1993022674676,1156.1689487698634]},"hypol_enhinv2":{"description":"A harmonic form of Schlesinger's Hypolydian enharmonic inverted                 ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,42.74869167686547,84.46719346967761,454.2139479044758,582.51219260429,643.2634802882518,701.9550008653874]},"hypol_enhinv3":{"description":"A harmonic form of Schlesinger's Hypolydian enharmonic inverted","size":7,"tune":440,"center":69,"range":1200,"cents":[0,42.74869167686547,84.46719346967761,454.2139479044758,701.9550008653874,758.7218585994156,813.6862861351652]},"hypol_pent":{"description":"Schlesinger's Hypolydian Harmonia in the pentachromatic genus                   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","size":15,"tune":440,"center":69,"range":2400,"cents":[0,128.29824469981426,266.87090560373764,417.50796410436817,582.51219260429,764.9159047383502,968.8259064691249,1080.5571917389027,1200,1328.2982446998144,1466.8709056037378,1617.5079641043683,1782.5121926042898,1964.9159047383505,2168.825906469125]},"hypop_chrom":{"description":"Hypophrygian Chromatic Tonos                                                    ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,98.95459223036757,150.6370585006306,203.91000173077484,435.0840952616501,563.3823399614643,631.2825740011052,701.9550008653874,775.6356544623594,813.6862861351652,852.5920593660182,1017.5962878659401]},"hypop_chromenh":{"description":"Schlesinger's Hypophrygian Harmonia in a mixed chromatic-enharmonic genus       ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,48.77038139681492,98.95459223036757,563.3823399614643,701.9550008653874,775.6356544623594,852.5920593660182]},"hypop_chrominv":{"description":"Inverted Schlesinger's Chromatic Hypophrygian Harmonia                          ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,347.40794063398204,424.3643455376405,498.04499913461245,636.6176600385357,996.0899982692251,1101.0454077696324]},"hypop_chrominv2":{"description":"A harmonic form of Schlesinger's Chromatic Hypophrygian inverted                ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,93.6030144015278,182.40371213406007,498.04499913461245,636.6176600385357,764.9159047383502,884.3587129994474]},"hypop_diat":{"description":"Hypophrygian Diatonic Tonos                                                     ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,258.87442926652466,315.64128700055255,435.0840952616501,563.3823399614643,631.2825740011052,701.9550008653874,852.5920593660182,933.1290943962623,1017.5962878659401,1106.3969855984722]},"hypop_diat2":{"description":"Schlesinger's Hypophrygian Harmonia                                             ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,315.64128700055255,563.3823399614643,631.2825740011052,701.9550008653874,852.5920593660182,1017.5962878659401]},"hypop_diat2inv":{"description":"Inverted Schlesinger's Hypophrygian Harmonia, a harmonic series from 9 from 18","size":8,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,347.40794063398204,498.04499913461245,568.7174259988948,636.6176600385357,884.3587129994474,996.0899982692251]},"hypop_diatcon":{"description":"A Hypophrygian Diatonic with its own trite synemmenon replacing paramese        ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,315.64128700055255,563.3823399614643,631.2825740011052,852.5920593660182,1017.5962878659401]},"hypop_enh":{"description":"Hypophrygian Enharmonic Tonos                                                   ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,48.77038139681492,73.68065359697194,98.95459223036757,315.64128700055255,563.3823399614643,631.2825740011052,701.9550008653874,738.4033797176099,756.9194284011371,775.6356544623594,1017.5962878659401]},"hypop_enhinv":{"description":"Inverted Schlesinger's Enharmonic Hypophrygian Harmonia                         ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,424.3643455376405,461.59662028239006,498.04499913461245,636.6176600385357,1101.0454077696324,1151.229618603185]},"hypop_enhinv2":{"description":"A harmonic form of Schlesinger's Hypophrygian enharmonic inverted               ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,47.434037023964734,93.6030144015278,498.04499913461245,636.6176600385357,701.9550008653874,764.9159047383502]},"hypophryg_pis":{"description":"The Diatonic Perfect Immutable System in the Hypophrygian Tonos                 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ikosany.scl","size":31,"tune":440,"center":69,"range":1200,"cents":[0,48.77038139681492,62.960903872962575,70.27667099352986,111.73128526977776,133.23757486649274,252.68038312759006,266.87090560373764,294.13499740383764,315.64128700055255,337.14757659726763,364.4116683973676,378.6021908735153,456.59038485836487,498.04499913461245,519.5512887313275,561.0059030075751,568.3216701281425,582.51219260429,631.2825740011052,701.9550008653874,750.7253822622025,764.9159047383502,813.6862861351652,835.1925757318802,876.6471900081278,954.6353839929774,996.0899982692251,1017.5962878659401,1066.3666692627553,1080.5571917389027]},"indian-ayyar":{"description":"Carnatic sruti system, C.Subrahmanya Ayyar, 1976. alt:21/20 25/16 63/40 40/21   ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,182.40371213406007,203.91000173077484,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,551.3179423647567,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,813.6862861351652,884.3587129994474,905.8650025961623,968.8259064691249,1017.5962878659401,1088.2687147302222,1129.3275731357178]},"indian-dk":{"description":"Raga Darbari Kanada                                                             ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,266.87090560373764,315.64128700055255,498.04499913461245,701.9550008653874,764.9159047383502,813.6862861351652,996.0899982692251]},"indian-ellis":{"description":"Ellis's Indian Chromatic, theoretical #74 of App.XX, p.517 of Helmholtz         ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,48.77038139681492,98.95459223036757,150.6370585006306,203.91000173077484,258.87442926652466,315.64128700055255,374.33280757768836,435.0840952616501,498.04499913461245,543.014645637008,589.1836230145709,636.6176600385357,685.3880414353508,735.5722522689033,787.2547185391664,840.5276617693106,895.4920893050604,952.2589470390885,1010.9504676162243,1071.7017553001858,1134.6626591731483]},"indian-hahn":{"description":"Indian shrutis Paul Hahn proposal                                               ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,182.40371213406007,203.91000173077484,274.582428595057,315.64128700055255,386.3137138648348,427.3725722703304,498.04499913461245,519.5512887313275,590.2237155956096,631.2825740011052,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,905.8650025961623,996.0899982692251,1017.5962878659401,1088.2687147302222,1129.3275731357178]},"indian-hrdaya1":{"description":"From Hrdayakautaka of Hrdaya Narayana (17th c) Bhatkande's interpretation","size":12,"tune":440,"center":69,"range":1200,"cents":[0,133.23757486649274,203.91000173077484,315.64128700055255,394.3472969536448,498.04499913461245,623.6052485633244,701.9550008653874,852.5920593660182,905.8650025961623,1017.5962878659401,1096.302297819032]},"indian-hrdaya2":{"description":"From Hrdayakautaka of Hrdaya Narayana (17th c) Levy's 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Tagore's sruti vina, measured by Ellis and Hipkins, 1886. 1/1=241.2   ","size":22,"tune":440,"center":69,"range":1219.981,"cents":[0,45.338,111.193,169.436,222.63,267.486,316,389.182,436.121,505.565,544.256,583.127,640.588,712.45,749.156,806.854,855.262,916.783,953.997,1012.565,1076.939,1136.401]},"indian-vina":{"description":"Observed South Indian tuning of a vina, Ellis","size":12,"tune":440,"center":69,"range":1207,"cents":[0,97,195,312,397,515,596,692,782,883,997,1092]},"indian-vina2":{"description":"Observed tuning of old vina in Tanjore Palace, Ellis and Hipkins. 1/1=210.7 Hz","size":24,"tune":440,"center":69,"range":2324,"cents":[0,99,195,288,382,478,571,675,774,869,959,1054,1148,1254,1353,1444,1543,1650,1741,1838,1934,2032,2121,2220]},"indian-vina3":{"description":"Tuning of K.S. Subramanian's vina (1983)                                        ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,203.91000173077484,294.13499740383764,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,792.1799965384502,905.8650025961623,996.0899982692251,1088.2687147302222]},"indian":{"description":"Indian shruti scale                                                             ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,111.73128526977776,182.40371213406007,203.91000173077484,294.13499740383764,315.64128700055255,386.3137138648348,407.8200034615497,498.04499913461245,519.5512887313275,590.2237155956096,611.7300051923246,701.9550008653874,792.1799965384502,813.6862861351652,884.3587129994474,905.8650025961623,996.0899982692251,1017.5962878659401,1088.2687147302222,1109.775004326937]},"indian2":{"description":"Indian shruti scale with tritone 64/45 schisma lower (Mr.Devarajan, Madurai)    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","size":22,"tune":440,"center":69,"range":1200,"cents":[0,54.9644275357497,111.73128526977776,182.40371213406007,203.91000173077484,294.13499740383764,315.64128700055255,386.3137138648348,407.8200034615497,498.04499913461245,519.5512887313275,590.2237155956096,609.7762844043904,701.9550008653874,792.1799965384502,813.6862861351652,884.3587129994474,905.8650025961623,996.0899982692251,1017.5962878659401,1088.2687147302222,1145.0355724642502]},"indian4":{"description":"Indian shruti scale according to Firoze Framjee: Text book of Indian music      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","size":22,"tune":440,"center":69,"range":1200,"cents":[0,51.68246627026313,101.86667710381555,150.6370585006306,203.91000173077484,253.80492623245422,325.56242618087316,386.3137138648348,441.2781414005845,498.04499913461245,551.3179423647567,603.00040863502,648.6820576352434,701.9550008653874,753.6374671356506,803.8216779692029,855.2616575034348,905.8650025961623,968.8259064691249,1026.7321087977903,1088.2687147302222,1143.2331422659722]},"indian_rot":{"description":"Rotated North Indian Gamut                                                      ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,274.582428595057,386.3137138648348,498.04499913461245,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,1088.2687147302222,1158.9411415945044]},"indium17":{"description":"Indium[17] 2.5/3.7/3.11/3 subgroup scale in 31\\253 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","size":5,"tune":440,"center":69,"range":1901.9550008653873,"cents":[0,23.554568098719155,70.35327596484996,211.38834618459242,634.0547668257465]},"iter29":{"description":"Iterated Binary Division of the Octave, IE=2, PD=6, SD=0                        ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,18.716226061222304,37.501120781327835,74.95690433598438,149.9119342809965,299.9739036100171,600.0883237615718]},"iter3":{"description":"Iterated 27/16 Scale, analog of Hexachord, IE=27/16, PD=3, SD=2                 ","size":10,"tune":440,"center":69,"range":905.8650025961623,"cents":[0,188.52115330167445,318.170482554942,394.87713140278925,447.6520927370601,536.7137631174991,666.4672624053708,755.5578600658615,808.3125599921832,844.6414871879704]},"iter30":{"description":"Iterated E-scale, IE= 2.71828, PD=5, SD=0                                       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","size":5,"tune":440,"center":69,"range":1981.6969800611914,"cents":[0,20.248582277275347,63.89042553237544,200.75369447716855,630.7540336065048]},"iter34":{"description":"Iterated SQR(3) scale, IE= 1.73205, PD=8, SD=0","size":9,"tune":440,"center":69,"range":951.0695041554284,"cents":[0,11.817343147616647,20.248582277275347,35.212753898573354,61.05740280262103,105.75709233439824,183.09330945409855,317.09062492451966,548.9673187190884]},"iter35":{"description":"Iterated SQR(5) scale, IE= 2.23607, PD=6, SD=0","size":7,"tune":440,"center":69,"range":1393.1902520067656,"cents":[0,11.205437495203531,24.910272200156992,55.67148658134156,124.60297318144791,278.6081305548401,622.9925307904919]},"iter36":{"description":"Iterated SQR(7) scale, IE= 2.64575, PD=5, SD=0","size":6,"tune":440,"center":69,"range":1684.466623261212,"cents":[0,13.065979371283383,34.282982636125105,90.8727913958942,240.63958484725038,636.6176600385357]},"iter4":{"description":"Iterated 5/2 scale, IE=5/2, PD=4, SD=3","size":17,"tune":440,"center":69,"range":1586.3137138648349,"cents":[0,40.545976147539946,101.44021225400124,111.17914555880948,125.96347152185096,162.42222347386357,253.80492623245422,278.17881026768845,314.63211527330765,406.0994612111176,634.4331372892932,695.4588054417503,786.7985904772297,1015.159645593095,1051.710377857761,1106.6938109826656,1243.6102164764643]},"iter5":{"description":"Iterated 5/3 scale, analog of Hexachord, IE=5/3, PD=3, SD=2","size":10,"tune":440,"center":69,"range":884.3587129994474,"cents":[0,191.03831381910473,318.41347982519375,394.73822707816163,445.6404331462407,530.6667943260891,657.9648361707696,742.9549246468176,793.7704734983313,827.8445717170858]},"iter6":{"description":"Iterated binary 1+SQR(2) scale, IE= 2.414214, G=2, PD=4, SD=2","size":11,"tune":440,"center":69,"range":1525.9157032046614,"cents":[0,95.3213609932859,190.78742851338814,381.564097582415,476.80259705446196,572.2833058364438,763.0124036680083,953.6173104269922,1144.3285134186588,1239.8002367222393,1335.1546261330868]},"iter7":{"description":"Iterated 27/16 scale, analog of Hexachord, IE=27/16, PD=3, SD=2","size":10,"tune":440,"center":69,"range":905.8650025961623,"cents":[0,113.19285905778375,226.5139721462015,283.065916584805,339.6865908844068,452.8404975753466,566.1022683277982,679.3241681638084,736.0690908572086,792.6162404739996]},"iter8":{"description":"Iterated 27/16 scale, analog of Hexachord, IE=27/16, PD=2, SD=2","size":9,"tune":440,"center":69,"range":905.8650025961623,"cents":[0,226.5139721462015,283.065916584805,339.6865908844068,452.8404975753466,566.1022683277982,679.3241681638084,736.0690908572086,792.6162404739996]},"iter9":{"description":"Iterated 27/16 Scale, analog of Hexachord, IE=27/16, PD=2, SD=12                ","size":5,"tune":440,"center":69,"range":905.8650025961623,"cents":[0,226.5139721462015,452.8404975753466,679.3241681638084,792.6162404739996]},"ives":{"description":"Charles Ives' stretched major scale, \"Scrapbook\" pp. 108-110                    ","size":7,"tune":440,"center":69,"range":1500,"cents":[0,250,500,625,875,1125,1375]},"ives2a":{"description":"Speculation by Joe Monzo for Ives' other stretched scale","size":7,"tune":440,"center":69,"range":1550,"cents":[0,258.33333,516.66667,645.83333,904.16667,1162.5,1420.83333]},"ives2b":{"description":"Alt. speculation by Joe Monzo for Ives' other stretched scale","size":7,"tune":440,"center":69,"range":1450,"cents":[0,241.66667,483.33333,604.16667,845.83333,1087.5,1329.16667]},"jademohaporc":{"description":"Jade-mohajira-porcupine wakalix","size":7,"tune":440,"center":69,"range":1200,"cents":[0,150.6370585006306,347.40794063398204,498.04499913461245,701.9550008653874,852.5920593660182,1049.3629414993693]},"janke1":{"description":"Reiner Janke, Temperatur I (1998)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,95,198,297,396,499,594,699,796,897,998,1095]},"janke2":{"description":"Reiner Janke, Temperatur II","size":12,"tune":440,"center":69,"range":1200,"cents":[0,95,196,297,394,499,594,698,796,895,998,1093]},"janke3":{"description":"Reiner Janke, Temperatur III","size":12,"tune":440,"center":69,"range":1200,"cents":[0,94,196,296,393,499,593,698,795,894,998,1092]},"janke4":{"description":"Reiner Janke, Temperatur IV","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92,196,298,392,500,591,698,794,894,999,1091]},"janke5":{"description":"Reiner Janke, Temperatur V","size":12,"tune":440,"center":69,"range":1200,"cents":[0,90,196,294,392,498,588,698,792,894,996,1090]},"janke6":{"description":"Reiner Janke, Temperatur VI","size":12,"tune":440,"center":69,"range":1200,"cents":[0,91,196,297,392,501,589,698,794,894,999,1090]},"janke7":{"description":"Reiner Janke, Temperatur VII","size":12,"tune":440,"center":69,"range":1200,"cents":[0,89,195,300,391,502,586,698,793,893,1004,1089]},"jemblung1":{"description":"Scale of bamboo gamelan jemblung from Kalijering, slendro-like. 1/1=590 Hz","size":5,"tune":440,"center":69,"range":1200,"cents":[0,230.44036,442.89125,684.2591,947.73875]},"jemblung2":{"description":"Bamboo gamelan jemblung at Royal Batavia Society. 1/1=504 Hz","size":5,"tune":440,"center":69,"range":1200,"cents":[0,237.17491,528.68711,697.36895,945.11]},"ji_10coh":{"description":"Differentially coherent 10-tone scale with subharmonic 48","size":10,"tune":440,"center":69,"range":1200,"cents":[0,138.57266090392307,235.67665536420398,386.3137138648348,498.04499913461245,603.00040863502,701.9550008653874,884.3587129994474,968.8259064691249,1068.92511629429]},"ji_10coh2":{"description":"Other diff. coherent 10-tone scale with subharmonic 30","size":10,"tune":440,"center":69,"range":1200,"cents":[0,266.87090560373764,315.64128700055255,498.04499913461245,582.51219260429,701.9550008653874,813.6862861351652,884.3587129994474,1017.5962878659401,1049.3629414993693]},"ji_10i4":{"description":"7-limit scale with mean variety four","size":10,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,231.17409353087498,342.905378800653,498.04499913461245,617.4878073957099,729.2190926654876,813.6862861351652,925.417571404943,1044.8603796660404]},"ji_11":{"description":"3 and 7 prime rational interpretation of 11-tET. OdC 2000                       ","size":11,"tune":440,"center":69,"range":1200,"cents":[0,98.65771594582517,203.91000173077484,329.83180947670024,435.0840952616501,533.741811207475,666.2581887925251,764.9159047383502,870.1681905232999,996.0899982692251,1101.342284054175]},"ji_12":{"description":"Basic JI with 7-limit tritone. Robert Rich: Geometry","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,582.51219260429,701.9550008653874,813.6862861351652,884.3587129994474,1017.5962878659401,1088.2687147302222]},"ji_121":{"description":"13-limit detempering of 121-tET","size":121,"tune":440,"center":69,"range":1200,"cents":[0,17.399483634138203,27.26409180010014,34.975614791419815,43.83105123013666,48.77038139681492,62.960903872962575,70.67242686428234,80.53703503024445,84.46719346967761,101.86667710381555,111.73128526977776,119.44280826109726,128.29824469981426,138.57266090392307,150.6370585006306,155.13962033395975,165.00422849992202,182.40371213406007,187.34304230073835,196.19847873945548,203.91000173077484,221.3094853649131,231.17409353087498,235.67665536420398,247.7410529609115,262.3683437704084,266.87090560373764,274.582428595057,289.209719404554,301.84652039515726,305.7766788345904,315.64128700055255,332.20824643058904,333.0407706346908,347.40794063398204,359.4723382306895,369.74675443479833,378.6021908735153,386.3137138648348,396.17832203079695,400.1084804702302,417.50796410436817,427.3725722703304,435.0840952616501,449.2746177377975,454.2139479044758,466.85074889507916,470.7809073345124,480.64551550047463,498.04499913461245,505.75652212593207,514.6119585646493,519.5512887313275,536.9507723654654,546.8153805314276,551.3179423647567,563.3823399614643,573.6567561655729,582.51219260429,590.2237155956096,609.7762844043904,617.4878073957099,626.343243834427,636.6176600385357,648.6820576352434,653.1846194685722,663.0492276345343,680.4487112686725,684.3788697081056,694.2434778740679,701.9550008653874,719.3544844995255,729.2190926654876,733.7216544988166,745.7860520955244,750.7253822622025,764.9159047383502,772.6274277296696,782.4920358956317,786.4221943350649,803.8216779692029,813.6862861351652,821.3978091264848,830.2532455652018,840.5276617693106,852.5920593660182,866.9592293653092,867.7917535694107,884.3587129994474,889.2980431661258,898.1534796048427,910.7902805954461,923.2644862303005,933.1290943962623,937.6316562295916,952.2589470390885,964.3233446357958,968.8259064691249,978.6905146350871,996.0899982692251,1003.8015212605447,1012.6569576992619,1017.5962878659401,1034.995771500078,1044.8603796660404,1049.3629414993693,1061.427339096077,1071.7017553001858,1080.5571917389027,1088.2687147302222,1097.1241511689393,1115.5328065303224,1119.4629649697556,1132.099765960359,1137.0390961270373,1151.229618603185,1156.1689487698634,1165.02438520858,1172.7359081998998,1182.600516365862]},"ji_12a":{"description":"7-limit 12-tone scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,203.91000173077484,266.87090560373764,386.3137138648348,498.04499913461245,582.51219260429,701.9550008653874,813.6862861351652,933.1290943962623,968.8259064691249,1088.2687147302222]},"ji_12b":{"description":"alternate 7-limit 12-tone scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,182.40371213406007,266.87090560373764,386.3137138648348,470.7809073345124,582.51219260429,701.9550008653874,813.6862861351652,933.1290943962623,968.8259064691249,1088.2687147302222]},"ji_12coh":{"description":"Differentially coherent 12-tone scale with subharmonic 60","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,191.03831381910473,315.64128700055255,409.24430140208034,498.04499913461245,582.51219260429,701.9550008653874,813.6862861351652,884.3587129994474,985.2358307456167,1080.5571917389027]},"ji_13":{"description":"5-limit 12-tone symmetrical scale with two tritones","size":13,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,203.91000173077484,294.13499740383764,386.3137138648348,498.04499913461245,590.2237155956096,609.7762844043904,701.9550008653874,813.6862861351652,905.8650025961623,996.0899982692251,1088.2687147302222]},"ji_15coh":{"description":"Differentially coherent 15-tone scale with subharmonic 88","size":15,"tune":440,"center":69,"range":1200,"cents":[0,95.67263096488107,150.6370585006306,238.53583693739697,322.1866031110823,417.50796410436817,478.2592517883298,565.566862710707,648.6820576352434,727.9890861845703,803.8216779692029,876.4715282912641,968.8259064691249,1034.995771500078,1119.4629649697556]},"ji_17":{"description":"3 and 7 prime rational interpretation of 17-tET. OdC                            ","size":17,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,140.94909785781223,203.91000173077484,294.13499740383764,357.0959012768006,435.0840952616501,498.04499913461245,561.0059030075751,638.9940969924247,701.9550008653874,764.9159047383502,842.9040987231996,905.8650025961623,996.0899982692251,1059.0509021421879,1137.0390961270373]},"ji_17a":{"description":"3, 5 and 11 prime rational interpretation of 17-tET, OdC                        ","size":17,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,133.23757486649274,203.91000173077484,294.13499740383764,354.54706023140557,427.3725722703304,498.04499913461245,568.7174259988948,631.2825740011052,701.9550008653874,772.6274277296696,845.4529397685943,905.8650025961623,996.0899982692251,1066.7624251335073,1129.3275731357178]},"ji_17b":{"description":"Alt. 3, 5 and 11 prime rational interpretation of 17-tET, OdC","size":17,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,150.6370585006306,203.91000173077484,294.13499740383764,347.40794063398204,427.3725722703304,498.04499913461245,551.3179423647567,648.6820576352434,701.9550008653874,772.6274277296696,852.5920593660182,905.8650025961623,996.0899982692251,1049.3629414993693,1129.3275731357178]},"ji_18":{"description":"11-limit approximation of 18-tET","size":18,"tune":440,"center":69,"range":1200,"cents":[0,66.16986503095302,133.23757486649274,199.97984329134155,266.87090560373764,333.0407706346908,400.1084804702302,466.85074889507916,533.741811207475,600.0883237615718,666.2581887925251,733.7216544988166,799.8915195297698,866.9592293653092,933.1290943962623,1000.0201567086582,1066.7624251335073,1133.8301349690469]},"ji_19":{"description":"5-limit 19-tone scale, subset of genus [3333555]","size":19,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,92.17871646099708,111.73128526977776,203.91000173077484,274.582428595057,315.64128700055255,386.3137138648348,498.04499913461245,519.5512887313275,590.2237155956096,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,905.8650025961623,976.5374294604446,1017.5962878659401,1088.2687147302222]},"ji_20":{"description":"3 and 7 prime rational interpretation of 20-tET. OdC                            ","size":20,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,113.68500605771193,168.2131896579122,231.17409353087498,294.13499740383764,357.0959012768006,407.8200034615497,498.04499913461245,533.741811207475,611.7300051923246,666.2581887925251,701.9550008653874,792.1799965384502,842.9040987231996,905.8650025961623,968.8259064691249,1031.7868103420878,1086.314993942288,1137.0390961270373]},"ji_21":{"description":"7-limit 21-tone just scale, Op de Coul, 2001","size":21,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,182.40371213406007,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,1017.5962878659401,1088.2687147302222,1137.0390961270373]},"ji_22":{"description":"5-limit 22-tone scale (Zarlino?)","size":22,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,133.23757486649274,203.91000173077484,274.582428595057,315.64128700055255,386.3137138648348,427.3725722703304,456.986140729117,498.04499913461245,568.7174259988948,631.2825740011052,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,955.0311398637298,1017.5962878659401,1088.2687147302222,1129.3275731357178,1158.9411415945044]},"ji_29":{"description":"3,5,11-prime rational interpretation of 29-tET, OdC                             ","size":29,"tune":440,"center":69,"range":1200,"cents":[0,41.058858405495585,90.22499567306306,133.23757486649274,165.00422849992202,203.91000173077484,244.96886013627025,294.13499740383764,333.0407706346908,368.91423023069683,407.8200034615497,456.986140729117,498.04499913461245,536.9507723654654,590.2237155956096,609.7762844043904,663.0492276345343,701.9550008653874,743.013859270883,792.1799965384502,831.0857697693033,866.9592293653092,905.8650025961623,955.0311398637298,996.0899982692251,1034.995771500078,1066.7624251335073,1109.775004326937,1158.9411415945044]},"ji_30":{"description":"11-limit rational interpretation of 30-tET","size":30,"tune":440,"center":69,"range":1200,"cents":[0,38.905773230852915,84.46719346967761,119.44280826109726,155.13962033395975,203.91000173077484,235.67665536420398,284.44703676101926,315.64128700055255,359.0496220647346,400.1084804702302,435.0840952616501,478.4924303258319,519.5512887313275,556.5033411742463,600.0883237615718,643.4966588257538,680.4487112686725,721.507569674168,764.9159047383502,799.8915195297698,840.9503779352654,884.3587129994474,915.5529632389809,964.3233446357958,996.0899982692251,1044.8603796660404,1080.5571917389027,1115.5328065303224,1161.094226769147]},"ji_31":{"description":"A just 7-limit 31-tone 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OdC                                   ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,342.905378800653,498.04499913461245,701.9550008653874,857.0946211993472,1017.5962878659401]},"ji_7a":{"description":"Superparticular approximation to 7-tET. 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","size":22,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,182.40371213406007,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,470.7809073345124,519.5512887313275,590.2237155956096,638.9940969924247,701.9550008653874,764.9159047383502,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,1017.5962878659401,1088.2687147302222,1137.0390961270373]},"johnston_25":{"description":"Johnston 25-note just enharmonic scale                                          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no.2                                                         ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,813.6862861351652,905.8650025961623,1017.5962878659401,1088.2687147302222]},"kepler3":{"description":"Kepler's choice system, Harmonices Mundi, Liber III (1619)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,794.1337173263846,905.8650025961623,1017.5962878659401,1109.775004326937]},"kilroy":{"description":"Kilroy                                                                          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,813.6862861351652,884.3587129994474,905.8650025961623,996.0899982692251,1088.2687147302222]},"kimball":{"description":"Buzz Kimball 18-note just scale                                                 ","size":18,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,92.17871646099708,182.40371213406007,203.91000173077484,274.582428595057,386.3137138648348,407.8200034615497,498.04499913461245,568.7174259988948,590.2237155956096,701.9550008653874,772.6274277296696,884.3587129994474,905.8650025961623,976.5374294604446,996.0899982692251,1088.2687147302222]},"kimball_53":{"description":"Buzz Kimball 53-note just scale                                                 ","size":53,"tune":440,"center":69,"range":1200,"cents":[0,98.95459223036757,104.95540950040728,111.73128526977776,128.29824469981426,138.57266090392307,150.6370585006306,165.00422849992202,216.686694770185,231.17409353087498,266.87090560373764,281.35830436442757,289.209719404554,315.64128700055255,336.12950303128224,347.40794063398204,359.4723382306895,386.3137138648348,417.50796410436817,446.3625328643495,454.2139479044758,464.42774773109676,498.04499913461245,551.3179423647567,563.3823399614643,582.51219260429,596.9995913649802,603.00040863502,617.4878073957099,636.6176600385357,648.6820576352434,701.9550008653874,735.5722522689033,745.7860520955244,753.6374671356506,782.4920358956317,813.6862861351652,840.5276617693106,852.5920593660182,863.8704969687176,884.3587129994474,910.7902805954461,918.6416956355724,933.1290943962623,968.8259064691249,983.313305229815,1034.995771500078,1049.3629414993693,1061.427339096077,1071.7017553001858,1088.2687147302222,1095.044590499593,1101.0454077696324]},"kirkwood":{"description":"Scale 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        ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,203.91000173077484,294.13499740383764,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,792.1799965384502,895.112,996.0899982692251,1088.2687147302222]},"kirnberger2":{"description":"Kirnberger 2: 1/2 synt. comma. \"Die Kunst des reinen Satzes\" (1774)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,203.91000173077484,294.13499740383764,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,794.1337173263846,895.0784627234567,996.0899982692251,1088.2687147302222]},"kirnberger24":{"description":"Kirnberger, 24-tone 7-limit JI scale (ca. 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Klonaris, 19-limit harmonic scale                                        ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,104.95540950040728,203.91000173077484,297.5130161323026,386.3137138648348,470.7809073345124,551.3179423647567,701.9550008653874,772.6274277296696,840.5276617693106,968.8259064691249,1088.2687147302222]},"knot":{"description":"Smallest knot in cubic lattice, American Scientist, Nov-Dec '97 p. 506-510, trefoil knot of 24 units long","size":24,"tune":440,"center":69,"range":1200,"cents":[0,43.408335064181976,119.44280826109726,155.13962033395975,203.91000173077484,231.17409353087498,274.582428595057,386.3137138648348,498.04499913461245,541.4533341987946,582.51219260429,590.2237155956096,653.1846194685722,701.9550008653874,772.6274277296696,813.6862861351652,857.0946211993472,884.3587129994474,933.1290943962623,968.8259064691249,976.5374294604446,1039.4983333334073,1044.8603796660404,1088.2687147302222]},"koepf_36":{"description":"Siegfried Koepf, 36-tone 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                           ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,35.69681207286232,84.46719346967761,155.13962033395975,203.91000173077484,266.87090560373764,315.64128700055255,351.3380990734152,435.0840952616501,470.7809073345124,519.5512887313275,582.51219260429,653.1846194685722,701.9550008653874,737.6518129382499,786.4221943350649,884.3587129994474,905.8650025961623,968.8259064691249,1017.5962878659401,1080.5571917389027,1137.0390961270373]},"kraeh_22a":{"description":"Kraehenbuehl & Schmidt 7-limit 22-tone tuning with \"inflections\" for some tones 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circular mirroring of 6:7:8                                          ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,266.87090560373764,498.04499913461245,701.9550008653874,933.1290943962623,968.8259064691249]},"kring2p3":{"description":"Third power of 6:7:8 mirroring with 1029/1024 intervals removed                 ","size":25,"tune":440,"center":69,"range":1200,"cents":[0,27.26409180010014,62.960903872962575,168.2131896579122,203.91000173077484,231.17409353087498,266.87090560373764,294.13499740383764,399.3872831887876,435.0840952616501,470.7809073345124,498.04499913461245,533.741811207475,666.2581887925251,701.9550008653874,729.2190926654876,764.9159047383502,800.6127168112126,905.8650025961623,933.1290943962623,968.8259064691249,996.0899982692251,1031.7868103420878,1137.0390961270373,1172.7359081998998]},"kring3":{"description":"Double-tie circular mirroring of 3:5:7                                          ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,266.87090560373764,315.64128700055255,582.51219260429,617.4878073957099,884.3587129994474,933.1290943962623]},"kring3bp":{"description":"Double-tie BP circular mirroring of 3:5:7","size":7,"tune":440,"center":69,"range":1901.9550008653873,"cents":[0,435.0840952616501,582.51219260429,884.3587129994474,1017.5962878659401,1319.442808261097,1466.8709056037378]},"kring4":{"description":"Double-tie circular mirroring of 4:5:7                                          ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,386.3137138648348,582.51219260429,617.4878073957099,813.6862861351652,968.8259064691249]},"kring4p3":{"description":"Third power of 4:5:7 mirroring with 3136/3125 intervals removed                 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","size":42,"tune":440,"center":69,"range":2786.3137138648344,"cents":[-4301.955000865388,-4151.317942364757,-3986.3137138648344,-3803.910001730775,-3600,-3368.8259064691256,-3101.9550008653873,-2951.3179423647566,-2786.3137138648344,-2603.910001730775,-2400,-2249.3629414993693,-2168.825906469125,-2084.3587129994476,-1901.9550008653875,-1751.3179423647568,-1698.0449991346125,-1586.3137138648347,-1515.6412870005524,-1466.8709056037378,-1403.9100017307749,-1365.004228499922,-1200,-1017.59628786594,-968.8259064691251,-884.3587129994474,-813.6862861351652,-701.9550008653875,-582.51219260429,-498.04499913461257,-386.31371386483477,-315.64128700055255,0,0,386.3137138648348,498.04499913461245,701.9550008653874,884.3587129994474,1200,1586.3137138648349,1901.9550008653873,2400]},"lambdoma_prim":{"description":"Prime Lambdoma                                                                  ","size":56,"tune":440,"center":69,"range":3368.825906469125,"cents":[-5945.035572464251,-5829.5771941530875,-5428.274347268416,-5097.513016132303,-4904.955409500408,-4745.03557246425,-4629.577194153087,-4440.527661769311,-4228.274347268416,-4151.317942364757,-4043.080571598863,-3927.6221932876997,-3897.5130161323027,-3704.9554095004073,-3526.3193464030282,-3368.8259064691256,-3240.5276617693107,-3195.558015266915,-3158.721858599415,-3043.2634802882517,-3003.00040863502,-2951.3179423647566,-2786.3137138648344,-2641.960633403581,-2576.2096659951253,-2538.5726609039234,-2460.751287683962,-2311.1993022674683,-2249.3629414993693,-2168.825906469125,-2118.6416956355724,-2059.4484407992904,-1901.9550008653875,-1728.6871096631778,-1654.2139479044758,-1586.3137138648347,-1536.1295030312824,-1466.8709056037378,-1365.004228499922,-1200,-1071.7017553001858,-884.3587129994474,-782.492035895632,-701.9550008653875,-582.51219260429,0,0,582.51219260429,701.9550008653874,884.3587129994474,1200,1466.8709056037378,1586.3137138648349,1901.9550008653873,2168.825906469125,2786.3137138648344]},"lambert":{"description":"Lambert's 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","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,111.73128526977776,203.91000173077484,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,813.6862861351652,884.3587129994474,905.8650025961623,1088.2687147302222]},"legros1":{"description":"Example of temperament with 3 just major thirds                                 ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,81.42557,193.15686,290.90905,386.3137138648348,498.04499913461245,579.47057,696.57843,783.38057,889.73529,996.0899982692251,1082.89214]},"legros2":{"description":"Example of temperament with 2 just major thirds                                 ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,86.80214,193.15686,290.90905,386.3137138648348,498.04499913461245,584.84714,696.57843,788.75714,889.73529,996.0899982692251,1082.89214]},"lehman1":{"description":"Bradley Lehman Bach temperament I 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and 8 ascending         ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,315.64128700055255,498.04499913461245,701.9550008653874,835.1925757318802,884.3587129994474,1017.5962878659401,1066.7624251335073]},"liu_minor":{"description":"Linus Liu's Harmonic Minor                                                      ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,315.64128700055255,498.04499913461245,680.4487112686725,813.6862861351652,1066.7624251335073]},"liu_pent":{"description":"Linus Liu's \"pentatonic scale\"                                                  ","size":7,"tune":440,"center":69,"range":1221.5062895967149,"cents":[0,203.91000173077484,407.8200034615497,519.5512887313275,701.9550008653874,905.8650025961623,1109.775004326937]},"locomotive":{"description":"A 2.9.11.13 subgroup scale, Gene Ward 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1986","size":12,"tune":440,"center":69,"range":1200,"cents":[0,97.55529,198.53343,299.51156,397.06686,499.83718,597.39248,699.26671,798.53273,897.80014,999.67437,1097.22967]},"lorina":{"description":"Lorina","size":12,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,196.19847873945548,266.87090560373764,315.64128700055255,498.04499913461245,498.04499913461245,671.3128903368223,764.9159047383502,968.8259064691249,968.8259064691249,996.0899982692251]},"lublin":{"description":"Johannes von Lublin (1540) interpr. by Franz Joseph Ratte, p. 255","size":12,"tune":440,"center":69,"range":1200,"cents":[0,85.22372,196.955,301.09,400.865,505,604.77501,701.9550008653874,787.17872,898.91,1003.045,1102.82]},"lucktenberg":{"description":"George Lucktenberg, general purpose temperament, 1/8P, SEHKS Newsletter vol.26 no.1 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","size":7,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,386.3137138648348,551.3179423647567,701.9550008653874,968.8259064691249,1088.2687147302222]},"malcolme":{"description":"Most equal interval permutation of Malcolm's Monochord                          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,609.7762844043904,701.9550008653874,813.6862861351652,884.3587129994474,996.0899982692251,1107.8212835390032]},"malcolme2":{"description":"Inverse most equal interval permutation of Malcolm's Monochord                  ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,203.91000173077484,315.64128700055255,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,813.6862861351652,884.3587129994474,996.0899982692251,1088.2687147302222]},"malcolms":{"description":"Symmetrical version of Malcolm's Monochord and Riley's Albion 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","size":7,"tune":440,"center":69,"range":1148,"cents":[0,98,271,472,642,771,952]},"mboko_bow":{"description":"African Mboko Mouth Bow (chordophone, single string, plucked)                   ","size":2,"tune":440,"center":69,"range":625,"cents":[0,492]},"mboko_zither":{"description":"African Mboko Zither (chordophone; idiochordic palm fibre, plucked)             ","size":7,"tune":440,"center":69,"range":1166,"cents":[0,206,345,528,720,814,1024]},"mcclain":{"description":"McClain's 12-tone scale, see page 119 of The Myth of Invariance                 ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,203.91000173077484,274.582428595057,386.3137138648348,407.8200034615497,590.2237155956096,701.9550008653874,772.6274277296696,905.8650025961623,1088.2687147302222,1158.9411415945044]},"mcclain_18":{"description":"McClain's 18-tone scale, see page 143 of The Myth of Invariance                 ","size":18,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,203.91000173077484,274.582428595057,345.2548554593393,386.3137138648348,407.8200034615497,478.4924303258319,590.2237155956096,660.896142459892,701.9550008653874,772.6274277296696,794.1337173263846,905.8650025961623,976.5374294604446,1088.2687147302222,1109.775004326937,1158.9411415945044]},"mcclain_8":{"description":"McClain's 8-tone scale, see page 51 of The Myth of Invariance                   ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,386.3137138648348,590.2237155956096,701.9550008653874,772.6274277296696,905.8650025961623,1088.2687147302222]},"mccoskey_22":{"description":"31-limit rational interpretation of 22-tET, Marion McCoskey","size":22,"tune":440,"center":69,"range":1200,"cents":[0,54.9644275357497,111.73128526977776,165.00422849992202,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,551.3179423647567,582.51219260429,656.9853543629919,701.9550008653874,764.9159047383502,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,1017.5962878659401,1088.2687147302222,1145.0355724642502]},"mcgoogy_phi":{"description":"Brink McGoogy's Phinocchio tuning, mix of 5th (black keys) and 7th (white keys) root of phi","size":18,"tune":440,"center":69,"range":1202.94447,"cents":[0,36.61806,119.0129,203.23612,238.0258,357.0387,369.85418,476.0516,536.47224,595.0645,703.0903,714.0774,833.0903,869.70836,952.1032,1036.32642,1071.1161,1190.12899]},"mcgoogy_phi2":{"description":"Brink McGoogy's Phinocchio tuning with symmetrical \"brinko\"","size":18,"tune":440,"center":69,"range":1202.03028,"cents":[0,35.70387,119.0129,202.32193,238.0258,357.0387,368.93999,476.0516,535.55805,595.0645,702.17611,714.0774,833.0903,868.79417,952.1032,1035.41223,1071.1161,1190.12899]},"mclaren_bar":{"description":"Metal bar scale. see McLaren, Xenharmonicon 15, pp.31-33","size":13,"tune":440,"center":69,"range":1193.099,"cents":[0,128.442,191.007,264.247,378.214,394.918,520.84,555.813,642.342,724.75,759.727,885.821,1039.735]},"mclaren_cps":{"description":"2)12 [1,2,3,4,5,6,8,9,10,12,14,15] a degenerate CPS                             ","size":15,"tune":440,"center":69,"range":1200,"cents":[0,92.17871646099708,155.13962033395975,203.91000173077484,274.582428595057,386.3137138648348,470.7809073345124,590.2237155956096,701.9550008653874,772.6274277296696,857.0946211993472,905.8650025961623,968.8259064691249,1088.2687147302222,1172.7359081998998]},"mclaren_harm":{"description":"from \"Wilson part 9\", claimed to be Schlesingers Dorian Enharmonic, prov. unkn  ","size":11,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,231.17409353087498,262.3683437704084,278.17881026768845,498.04499913461245,648.6820576352434,688.4822943574825,708.7308766347578,729.2190926654876,996.0899982692251]},"mclaren_rath1":{"description":"McLaren Rat H1                                                                  ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,231.17409353087498,427.3725722703304,462.34818706174997,498.04499913461245,609.7762844043904,648.6820576352434,688.4822943574825,729.2190926654876,1095.044590499593,1146.7270567698558]},"mclaren_rath2":{"description":"McLaren Rat H2                                                                  ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,231.17409353087498,427.3725722703304,462.34818706174997,498.04499913461245,648.6820576352434,688.4822943574825,729.2190926654876,902.4869838676973,948.6559612452604,996.0899982692251]},"mean10":{"description":"3/10-comma meantone scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,68.5218,191.00623,313.49066,382.01246,504.49689,573.01868,695.50311,764.02491,886.50934,1008.99377,1077.51557]},"mean11":{"description":"3/11-comma meantone scale. A.J. Ellis no. 10","size":12,"tune":440,"center":69,"range":1200,"cents":[0,72.62754,192.1793,311.73105,384.3586,503.91035,576.53789,696.08965,768.71719,888.26895,1007.8207,1080.44825]},"mean11ls_19":{"description":"Least squares appr. to 3/2, 5/4, 7/6, 15/14 and 11/8, Petr Par�zek","size":19,"tune":440,"center":69,"range":1200,"cents":[0,73.26337,119.09759,192.36096,265.62434,311.45855,384.72193,457.9853,503.81952,577.08289,622.91711,696.18048,769.44386,815.27807,888.54145,961.80482,1007.63904,1080.90241,1154.16578]},"mean13":{"description":"3/13-comma meantone scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,78.94408,193.98402,309.02397,387.96804,503.00799,581.95207,696.99201,775.93609,890.97603,1006.01598,1084.96005]},"mean14":{"description":"3/14-comma meantone scale (Giordano Riccati, 1762)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,81.42557,194.69302,307.96047,389.38604,502.65349,584.07906,697.34651,778.77208,892.03953,1005.30698,1086.73255]},"mean14_15":{"description":"15 of 3/14-comma meantone scale","size":15,"tune":440,"center":69,"range":1200,"cents":[0,81.42557,113.26745,194.69302,276.11859,307.96047,389.38604,502.65349,584.07906,697.34651,778.77208,810.61396,892.03953,1005.30698,1086.73255]},"mean14_19":{"description":"19 of 3/14-comma meantone scale","size":19,"tune":440,"center":69,"range":1200,"cents":[0,81.42557,113.26745,194.69302,276.11859,307.96047,389.38604,470.81161,502.65349,584.07906,615.92094,697.34651,778.77208,810.61396,892.03953,973.4651,1005.30698,1086.73255,1168.15812]},"mean14_7":{"description":"Least squares appr. of 5L+2S to Ptolemy's Intense Diatonic scale","size":7,"tune":440,"center":69,"range":1200,"cents":[0,194.69302,389.38604,502.65349,697.34651,892.03953,1086.73255]},"mean14a":{"description":"fifth of sqrt(5/2)-1 octave \"recursive\" meantone, Paul Hahn                     ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,81.5662,194.7332,307.9002,389.4664,502.6334,584.1996,697.3666,778.9328,892.0998,1005.2668,1086.833]},"mean16":{"description":"3/16-comma meantone scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,85.458,195.84514,306.23229,391.69029,502.07743,587.53543,697.92257,783.38057,893.76771,1004.15486,1089.61286]},"mean17":{"description":"4/17-comma meantone scale, least squares error of 5/4 and 3/2","size":12,"tune":440,"center":69,"range":1200,"cents":[0,78.26288,193.78939,309.31591,387.57879,503.1053,581.36818,696.8947,775.15758,890.68409,1006.21061,1084.47349]},"mean17_17":{"description":"4/17-comma meantone scale with split C#/Db, D#/Eb, F#/Gb, G#/Ab and A#/Bb","size":17,"tune":440,"center":69,"range":1200,"cents":[0,78.26288,115.52651,193.78939,272.05228,309.31591,387.57879,503.1053,581.36818,618.63182,696.8947,775.15758,812.42121,890.68409,968.94697,1006.21061,1084.47349]},"mean17_19":{"description":"4/17-comma meantone scale, least squares error of 5/4 and 3/2","size":19,"tune":440,"center":69,"range":1200,"cents":[0,78.26288,115.52651,193.78939,272.05228,309.31591,387.57879,465.84167,503.1053,581.36818,618.63182,696.8947,775.15758,812.42121,890.68409,968.94697,1006.21061,1084.47349,1162.73637]},"mean18":{"description":"5/18-comma meantone scale (Smith). 3/2 and 5/3 eq. beat. A.J. Ellis no. 9","size":12,"tune":440,"center":69,"range":1200,"cents":[0,71.86722,191.96206,312.05691,383.92413,504.01897,575.88619,695.98103,767.84825,887.94309,1008.03794,1079.90516]},"mean19":{"description":"5/19-comma meantone scale, fifths beats three times third. A.J. Ellis no. 11","size":12,"tune":440,"center":69,"range":1200,"cents":[0,74.06816,192.5909,311.11365,385.1818,503.70455,577.77271,696.29545,770.36361,888.88635,1007.4091,1081.47725]},"mean19r":{"description":"Approximate 5/19-comma meantone with 19/17 tone, Petr Parizek (2002)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,73.95162,192.55760663189534,311.16359,385.1152132637907,503.7212,577.6728198956858,696.2788,770.2304265275812,888.83641,1007.4423933681048,1081.39402]},"mean19t":{"description":"Approximate 5/19-comma meantone with three 7/6 minor thirds","size":12,"tune":440,"center":69,"range":1200,"cents":[0,74.23293,192.63798,311.04303,385.27596,503.68101,577.91394,696.31899,770.55192,888.95697,1007.36202,1081.59495]},"mean23":{"description":"5/23-comma meantone scale, A.J. Ellis no. 4","size":12,"tune":440,"center":69,"range":1200,"cents":[0,80.95804,194.55944,308.16084,389.11888,502.72028,583.67832,697.27972,778.23776,891.83916,1005.44056,1086.3986]},"mean23six":{"description":"6/23-comma meantone scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,74.41265,192.68933,310.96601,385.37866,503.65534,578.06799,696.34466,770.75732,889.03399,1007.31067,1081.72332]},"mean24rat":{"description":"Meantone[24] in a rational tuning with brats of 4","size":24,"tune":440,"center":69,"range":1200,"cents":[0,32.760036496746,113.27634030233024,146.25712929847933,195.70769658193262,227.27367505159472,308.2977593446747,340.9023699847435,421.8624646052294,454.50848233504666,502.1620856149406,535.3095194165244,616.5257434370442,648.9909254669636,697.1852526669835,730.0571744932607,810.9361123255777,843.6380201969788,890.9413598999231,924.3203085789032,1005.9546064351874,1038.1118341476592,1119.2077756113717,1151.760241694735]},"mean25":{"description":"7/25-comma meantone scale, least square weights 3/2:0 5/4:1 6/5:1               ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,71.53268,191.86648,312.20028,383.73296,504.06676,575.59944,695.93324,767.46592,887.79972,1008.13352,1079.6662]},"mean26":{"description":"7/26-comma meantone scale (Woolhouse 1835). Almost equal to meaneb742.scl       ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,73.15392,192.32969,311.50546,384.65938,503.83515,576.98908,696.16485,769.31877,888.49454,1007.67031,1080.82423]},"mean26_21":{"description":"21 of 7/26-comma meantone scale (Woolhouse 1835)                                ","size":21,"tune":440,"center":69,"range":1200,"cents":[0,73.15395,119.17575,192.3297,265.48365,311.50545,384.6594,430.6812,457.81335,503.83515,576.9891,623.0109,696.16485,769.3188,815.3406,888.49455,961.6485,1007.6703,1080.82425,1126.84605,1153.9782]},"mean27":{"description":"7/27-comma meantone scale, least square weights 3/2:2 5/4:1 6/5:1               ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,74.65507,192.75859,310.86211,385.51718,503.6207,578.27578,696.3793,771.03437,889.13789,1007.24141,1081.89648]},"mean29":{"description":"7/29-comma meantone scale, least square weights 3/2:4 5/4:1 6/5:1               ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,77.34679,193.52766,309.70852,387.05531,503.23617,580.58297,696.76383,774.11062,890.29148,1006.47234,1083.81914]},"mean2nine":{"description":"2/9-comma meantone scale, Lemme Rossi, Sistema musico (1666)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,80.231,194.352,274.582428595057,388.703,502.824,583.055,697.176,777.407,891.528,1005.648,1085.879]},"mean2nine_15":{"description":"15 of 2/9-comma meantone scale","size":15,"tune":440,"center":69,"range":1200,"cents":[0,80.231,114.121,194.352,274.582428595057,308.473,388.703,502.824,583.055,697.176,777.407,811.297,891.528,1005.648,1085.879]},"mean2nine_19":{"description":"19 of 2/9-comma meantone scale","size":19,"tune":440,"center":69,"range":1200,"cents":[0,80.231,114.121,194.352,274.582428595057,308.473,388.703,468.934,502.824,583.055,616.945,697.176,777.407,811.297,891.528,971.758,1005.648,1085.879,1166.11]},"mean2nine_31":{"description":"31 of 2/9-comma meantone scale","size":31,"tune":440,"center":69,"range":1200,"cents":[0,46.341,80.231,114.121,160.462,194.352,228.242,274.582428595057,308.473,354.813,388.703,422.593,468.934,502.824,549.164857190114,583.055,616.945,663.286,697.176,743.517,777.407,811.297,857.637,891.527,925.417571404943,971.758,1005.648,1051.989,1085.879,1119.769,1166.11]},"mean2sev":{"description":"2/7-comma meantone scale. Zarlino's temperament (1558). See also meaneb371      ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,191.62069,312.56896,383.24139,504.18965,574.86208,695.81035,766.48277,887.43104,1008.37931,1079.05173]},"mean2sev10":{"description":"2/17-comma meantone scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,95.97394,198.8497,301.72545,397.6994,500.57515,596.54909,699.42485,795.39879,898.27455,1001.1503,1097.12425]},"mean2sev_15":{"description":"15 of 2/7-comma meantone scale                                                  ","size":15,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,120.948,191.621,262.293,312.569,383.241,504.19,574.862,695.81,766.483,816.759,887.431,1008.379,1079.052]},"mean2sev_19":{"description":"19 of 2/7-comma meantone scale                                                  ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,120.948,191.621,262.293,312.569,383.241,453.914,504.19,574.862,625.138,695.81,766.483,816.759,887.431,958.103,1008.379,1079.052,1149.724]},"mean2sev_31":{"description":"31 of 2/7-comma meantone scale                                                  ","size":31,"tune":440,"center":69,"range":1200,"cents":[0,20.397,70.67242686428234,120.948,141.3448537285644,191.621,241.897,262.293,312.569,332.966,383.241,433.517,453.914,504.19,524.586,574.862,625.138,645.535,695.81,716.207,766.483,816.759,837.155,887.431,937.707,958.103,1008.379,1028.776,1079.052,1129.3275731357178,1149.724]},"mean2seveb":{"description":"\"2/7-comma\" meantone with equal beating fifths. A.J. Ellis no. 8","size":12,"tune":440,"center":69,"range":1200,"cents":[0,81.69618,193.65683,307.31057,388.40164,502.63919,584.12387,695.81039,777.79027,890.11854,1004.12185,1085.44863]},"mean2sevr":{"description":"Rational approximation to 2/7-comma meantone, 1/1 = 262.9333","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,191.5972891901752,312.56587993790805,383.2383068021902,504.17947193813313,574.8518988024155,695.7987137870563,766.4711406513383,887.4286665191582,1008.3536283049609,1079.0260551692431]},"mean4nine":{"description":"4/9-comma meantone scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,46.77655,184.7933,322.81005,369.5866,507.60335,554.3799,692.39665,739.1732,877.18995,1015.2067,1061.98325]},"meanbrat32":{"description":"Beating of 5/4 = 1.5 times 3/2 same. Almost 1/3-comma","size":12,"tune":440,"center":69,"range":1200,"cents":[0,65.12524,190.03578,314.94633,380.07157,504.98211,570.10735,695.01789,760.14313,885.05367,1009.96422,1075.08946]},"meanbrat32a":{"description":"Beating of 5/4 = 1.5 times 3/2 opposite. Almost 3/16 Pyth. comma","size":12,"tune":440,"center":69,"range":1200,"cents":[0,82.94816,195.12805,307.30793,390.25609,502.43598,585.38414,697.56402,780.51219,892.69207,1004.87195,1087.82012]},"meanbratm32":{"description":"Beating of 6/5 = 1.5 times 3/2 same. Almost 4/15-comma","size":12,"tune":440,"center":69,"range":1200,"cents":[0,73.53661,192.43903,311.34145,384.87806,503.78048,577.31709,696.21952,769.75612,888.65855,1007.56097,1081.09758]},"meandia":{"description":"Detempered Meantone[21]; contains 7-limit diamond","size":21,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,119.44280826109726,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,1017.5962878659401,1088.2687147302222,1137.0390961270373]},"meaneb1071":{"description":"Equal beating 7/4 = 3/2 same.                                                   ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,76.589,193.311,269.901,386.623,503.344,579.934,696.656,773.245,889.967,966.556,1083.278]},"meaneb1071a":{"description":"Equal beating 7/4 = 3/2 opposite.                                               ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,79.635,194.181,273.816,388.363,502.909,582.544,697.091,776.725,891.272,970.906,1085.453]},"meaneb341":{"description":"Equal beating 6/5 = 5/4 same. Almost 4/15 Pyth. comma                           ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.106,191.459,312.812,382.918,504.271,574.377,695.729,765.835,887.188,1008.541,1078.647]},"meaneb371":{"description":"Equal beating 6/5 = 3/2 same. Practically 2/7-comma (Zarlino)                   ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.66697,191.61914,312.5713,383.23827,504.19043,574.85741,695.80957,766.47654,887.4287,1008.38086,1079.04784]},"meaneb371a":{"description":"Equal beating 6/5 = 3/2 opposite. Almost 2/5-comma                              ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,53.512,186.718,319.924,373.435,506.641,560.153,693.359,826.565,880.076,1013.282,1066.794]},"meaneb381":{"description":"Equal beating 6/5 = 8/5 same. Almost 1/7-comma                                  ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.146,197.756,303.366,395.512,501.122,593.268,698.878,804.488,896.634,1002.244,1094.39]},"meaneb451":{"description":"Equal beating 5/4 = 4/3 same, 5/24 comma meantone. A.J. Ellis no. 6","size":12,"tune":440,"center":69,"range":1200,"cents":[0,82.32302,194.94943,307.57585,389.89887,502.52528,584.8483,697.47472,779.79774,892.42415,1005.05057,1087.37359]},"meaneb471":{"description":"Equal beating 5/4 = 3/2 same. Almost 5/17-comma. Erv Wilson's 'metameantone'","size":12,"tune":440,"center":69,"range":1200,"cents":[0,69.41306,191.26087,313.10869,382.52175,504.36956,573.78262,695.63044,765.0435,886.89131,1008.73913,1078.15219]},"meaneb471a":{"description":"Equal beating 5/4 = 3/2 opposite. Almost 1/5 Pyth. Gottfried Keller (1707)      ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,80.94883,194.55681,308.16479,389.11362,502.7216,583.67043,697.2784,778.22724,891.83521,1005.44319,1086.39202]},"meaneb471b":{"description":"21/109-comma meantone with 9/7 major thirds, almost equal beating 5/4 and 3/2","size":12,"tune":440,"center":69,"range":1200,"cents":[0,69.30142,191.22898,313.15654,382.45795,504.38551,573.68693,695.61449,764.9159047383502,886.84346,1008.77102,1078.07244]},"meaneb472":{"description":"Beating of 5/4 = twice 3/2 same. 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","size":12,"tune":440,"center":69,"range":1200,"cents":[0,74.071,192.592,311.112,385.183,503.704,577.775,696.296,814.817,888.888,1007.408,1081.479]},"meaneb732":{"description":"Beating of 3/2 = twice 6/5 same. Almost 4/13-comma","size":12,"tune":440,"center":69,"range":1200,"cents":[0,67.35866,190.6739,313.98914,381.34781,504.66305,572.02171,695.33695,762.69561,886.01086,1009.3261,1076.68476]},"meaneb732_19":{"description":"Beating of 3/2 = twice 6/5 same, 19 tones                                       ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,67.359,123.315,190.674,258.033,313.989,381.348,448.707,504.663,572.022,627.978,695.337,762.696,818.652,886.011,953.37,1009.326,1076.685,1144.044]},"meaneb732a":{"description":"Beating of 3/2 = twice 6/5 opposite. 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","size":12,"tune":440,"center":69,"range":1200,"cents":[0,79.272,194.078,308.883,388.156,502.961,582.233,697.039,811.844,891.117,1005.922,1085.194]},"meaneb891":{"description":"Equal beating 8/5 = 5/3 same. Almost 5/18-comma                                 ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,72.044,192.013,311.981,384.025,503.994,576.038,696.006,815.975,888.019,1007.987,1080.032]},"meaneight":{"description":"1/8-comma meantone scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,94.867,198.53343,302.19986,397.06686,500.73329,595.60029,699.26671,794.1337173263846,897.80014,1001.46657,1096.33357]},"meaneightp":{"description":"1/8 Pyth. comma meantone scale","size":12,"tune":440,"center":69,"range":1200,"cents":[0,93.1575,198.045,302.9325,396.09,500.9775,594.135,699.0225,792.1799965384502,897.0675,1001.955,1095.1125]},"meanfifth":{"description":"1/5-comma meantone scale (Verheijen)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,83.5762,195.30749,307.03877,390.61497,502.34626,585.92246,697.65374,781.22994,892.96123,1004.69251,1088.2687147302222]},"meanfifth2":{"description":"1/5-comma meantone by John Holden (1770)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,195.30749,307.03877,390.61497,502.34626,585.92246,697.65374,809.38503,892.96123,1004.69251,1088.2687147302222]},"meanfifth_19":{"description":"19 of 1/5-comma meantone scale","size":19,"tune":440,"center":69,"range":1200,"cents":[0,83.576,111.73128526977776,195.307,278.884,307.039,390.615,474.191,502.346,585.922,614.078,697.654,781.23,809.385,892.961,976.5374294604446,1004.693,1088.2687147302222,1171.845]},"meanfifth_43":{"description":"Complete 1/5-comma meantone scale","size":43,"tune":440,"center":69,"range":1200,"cents":[0,28.155,55.421,83.576,111.73128526977776,138.997,167.152,195.307,223.46257053955554,250.729,278.884,307.039,334.305,362.46,390.615,418.77,446.036,474.191,502.346,530.501,557.767,585.922,614.078,641.3435736511111,669.499,697.654,725.809,753.0748589208889,781.23,809.385,836.651,864.8061441906668,892.961,921.116,948.382,976.5374294604446,1004.693,1032.848,1060.114,1088.2687147302222,1116.424,1143.69,1171.845]},"meanfifth_french":{"description":"Homogeneous French temperament, 1/5-comma, C. di Veroli","size":12,"tune":440,"center":69,"range":1200,"cents":[0,87.87746,195.30749,291.78746,390.61497,498.04499913461245,585.92246,697.65374,789.83246,892.96123,994.91623,1088.2687147302222]},"meanfiftheb":{"description":"\"1/5-comma\" meantone with equal beating fifths                                  ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,91.34419,196.73569,303.37286,394.24347,501.26376,592.44267,697.65398,789.21948,894.8522,1001.71892,1092.77425]},"meangolden":{"description":"Meantone scale with Blackwood's R = phi, and diat./chrom. semitone = phi, Kornerup. 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Pietro Aaron's temp. (1523). 6/5 beats twice 3/2      ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,76.049,193.15686,310.26471,386.3137138648348,503.42157,579.47057,696.57843,772.6274277296696,889.73529,1006.84314,1082.89214]},"meanquar_14":{"description":"1/4-comma meantone scale with split D#/Eb and G#/Ab, Otto Gibelius (1666)","size":14,"tune":440,"center":69,"range":1200,"cents":[0,76.049,193.15686,269.20586,310.26471,386.3137138648348,503.42157,579.47057,696.57843,772.6274277296696,813.6862861351652,889.73529,1006.84314,1082.89214]},"meanquar_15":{"description":"1/4-comma meantone scale with split C#/Db, D#/Eb and G#/Ab","size":15,"tune":440,"center":69,"range":1200,"cents":[0,76.049,117.10786,193.15686,269.20586,310.26471,386.3137138648348,503.42157,579.47057,696.57843,772.6274277296696,813.6862861351652,889.73529,1006.84314,1082.89214]},"meanquar_16":{"description":"1/4-comma meantone scale with split C#/Db, D#/Eb, G#/Ab and A#/Bb","size":16,"tune":440,"center":69,"range":1200,"cents":[0,76.049,117.109,193.157,269.206,310.265,386.3137138648348,503.422,579.471,696.578,772.6274277296696,813.6862861351652,889.735,965.784,1006.843,1082.892]},"meanquar_17":{"description":"1/4-comma meantone scale with split C#/Db, D#/Eb, F#/Gb, G#/Ab and A#/Bb","size":17,"tune":440,"center":69,"range":1200,"cents":[0,76.049,117.10786,193.15686,269.20585,310.26471,386.3137138648348,503.42157,579.47057,620.52943,696.57843,772.6274277296696,813.6862861351652,889.73528,965.78428,1006.84314,1082.89214]},"meanquar_19":{"description":"19 of 1/4-comma meantone scale","size":19,"tune":440,"center":69,"range":1200,"cents":[0,76.049,117.10786,193.15686,269.20586,310.26471,386.3137138648348,462.36271,503.42157,579.47057,620.52943,696.57843,772.6274277296696,813.6862861351652,889.73529,965.78428,1006.84314,1082.89214,1158.9411415945044]},"meanquar_27":{"description":"27 of 1/4-comma meantone scale","size":27,"tune":440,"center":69,"range":1200,"cents":[0,76.049,117.10786,152.098,193.15686,234.21572,269.20586,310.26471,386.3137138648348,427.3725722703304,462.36271,503.42157,579.47057,620.52943,655.51957,696.57843,737.63729,772.6274277296696,813.6862861351652,848.67643,889.73529,930.79414,965.78428,1006.84314,1082.89214,1123.951,1158.9411415945044]},"meanquar_31":{"description":"31 of 1/4-comma meantone scale","size":31,"tune":440,"center":69,"range":1200,"cents":[0,41.058858405495585,76.049,117.10786,152.098,193.15686,234.21572,269.20586,310.26471,351.32357,386.3137138648348,427.3725722703304,462.36271,503.42157,544.48043,579.47057,620.52943,655.51957,696.57843,737.63729,772.6274277296696,813.6862861351652,848.67643,889.73529,930.79414,965.78428,1006.84314,1047.902,1082.89214,1123.951,1158.9411415945044]},"meanquareb":{"description":"Variation on 1/4-comma meantone with equal beating fifths","size":12,"tune":440,"center":69,"range":1200,"cents":[0,85.7203,194.93958,305.67193,390.83667,502.06657,587.59282,696.57833,782.55876,892.09129,1003.12163,1088.50291]},"meanquarm23":{"description":"1/4-comma meantone approximation with minimal order 23 beatings                 ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,76.95640490365868,192.55760663189534,315.64128700055255,386.3137138648348,498.04499913461245,582.51219260429,701.9550008653874,772.6274277296696,884.3587129994474,1007.4423933681048,1083.2433583741022]},"meanquarn":{"description":"Non-octave quarter-comma meantone, fifth period, also known as Angel","size":44,"tune":440,"center":69,"range":2786.3137138648344,"cents":[0,41.058858405495585,117.10786,193.15686,234.21572,310.26471,386.3137138648348,427.3725722703304,503.42157,579.47057,620.52943,696.57843,737.63729,813.6862861351652,889.73529,930.79414,1006.84314,1082.89214,1123.951,1200,1276.049,1317.10786,1393.15686,1434.21572,1510.26471,1586.31371,1627.37257,1703.42157,1779.47057,1820.52943,1896.57843,1972.62743,2013.68629,2089.73529,2130.79414,2206.84314,2282.89214,2323.951,2400,2476.049,2517.10786,2593.15686,2669.20586,2710.26471]},"meanquarr":{"description":"Rational approximation to 1/4-comma meantone, Kenneth Scholz, MTO 4.4, 1998     ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,76.02400469312212,193.12346185806908,310.2897091717126,386.3137138648348,503.4466698165414,579.4371757229043,696.5533301834585,772.6274277296696,889.7102908282873,1006.8765381419308,1082.8670440482933]},"meanquarw2":{"description":"1/4-comma meantone with 1/2 wolf, used in England in 19th c. 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meantone 1: C-G-D-A-E 1/4, others 1/6                                  ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,81.42557,193.15686,304.88814,386.3137138648348,501.62938,583.05495,696.57843,779.79619,889.73529,1003.25876,1084.68433]},"meanvar2":{"description":"Variable meantone 2: C..E 1/4, 1/5-1/6-1/7-1/8 outward both directions          ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,81.22075,193.15686,305.09296,386.3137138648348,502.34626,582.33808,696.57843,780.48746,889.73529,1003.97564,1083.96746]},"meanvar3":{"description":"Variable meantone 3: C..E 1/4, 1/6 next, then Pyth.                             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Merrick's melodically tuned equal temperament (1811)                         ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,108.96352,209.54567,310.11018,401.52867,500.35485,607.6232,708.89382,805.39624,895.93891,1006.89577,1099.12288]},"mersen-ban":{"description":"For keyboard designs of Mersenne (1635) & Ban (1639), 10 black and extra D. 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5-limit","size":46,"tune":440,"center":69,"range":1200,"cents":[0,21.38094,49.32178,77.26262,98.64356,126.5844,154.52525,182.46609,203.84703,231.78787,259.72871,281.10965,309.05049,336.99134,364.93218,386.31312,414.25396,442.1948,463.57574,491.51658,519.45742,547.39827,568.7792,596.72005,624.66089,646.04183,673.98267,701.92351,729.86436,751.24529,779.18614,807.12698,828.50792,856.44876,884.3896,912.33045,933.71138,961.65223,989.59307,1010.97401,1038.91485,1066.85569,1094.79653,1116.17747,1144.11831,1172.05916]},"miracle1":{"description":"21 out of 72-tET Pyth. scale \"Miracle/Blackjack\", Keenan & Erlich, TL 2-5-2001","size":21,"tune":440,"center":69,"range":1200,"cents":[0,33.33333,116.66667,150,233.33333,266.66667,350,383.33333,466.66667,500,583.33333,616.66667,700,733.33333,816.66667,850,933.33333,966.66667,1050,1083.33333,1166.66667]},"miracle1a":{"description":"Version of Blackjack with just 11/8 intervals","size":21,"tune":440,"center":69,"range":1200,"cents":[0,32.45471,116.75453,149.20923,233.50906,265.96376,350.26359,382.71829,467.01812,499.47282,583.77265,616.22735,700.52718,732.98188,817.28171,849.73641,934.03624,966.49094,1050.79077,1083.24547,1167.54529]},"miracle2":{"description":"31 out of 72-tET Pythagorean scale \"Miracle/Canasta\", tempered Fokker-M, 36 7-limit tetrads","size":31,"tune":440,"center":69,"range":1200,"cents":[0,33.3333,83.33337,116.66667,149.99997,200.00004,233.33334,266.66664,316.66671,350.00001,383.33331,433.33338,466.66668,499.99998,550.00005,583.33335,616.66665,649.99995,700.00002,733.33332,766.66662,816.66669,849.99999,883.33329,933.33336,966.66666,999.99996,1050.00003,1083.33333,1116.66663,1166.6667]},"miracle21trans":{"description":"Miracle-21 (Blackjack) symmetric 5-limit transversal","size":21,"tune":440,"center":69,"range":1200,"cents":[0,19.552568808780734,111.73128526977776,162.8511433252793,223.46257053955554,274.582428595057,335.1938558093333,386.3137138648348,478.4924303258319,498.04499913461245,590.2237155956096,609.7762844043904,701.9550008653874,721.507569674168,813.6862861351652,864.8061441906668,925.417571404943,976.5374294604446,1037.148856674721,1088.2687147302222,1180.4474311912193]},"miracle21trans511":{"description":"Miracle-21 (Blackjack) symmetric 2.5.11 transversal","size":21,"tune":440,"center":69,"range":1200,"cents":[0,14.477603581555735,123.94537009442634,138.4229736759822,247.89074018885267,262.3683437704084,371.836110283279,386.3137138648348,441.8501758518862,510.2590839592611,565.7955459463125,634.2044540536874,689.7409160407389,758.1498241481138,813.6862861351652,828.1638897167211,937.6316562295916,952.1092598111474,1061.5770263240179,1076.0546299055736,1185.5223964184443]},"miracle24":{"description":"Miracle-24 in 72-tET tuning.","size":24,"tune":440,"center":69,"range":1200,"cents":[0,33.33333,83.33333,116.66667,150,233.33333,266.66667,350,383.33333,466.66667,500,583.33333,616.66667,700,733.33333,816.66667,850,933.33333,966.66667,1000,1050,1083.33333,1116.66667,1166.66667]},"miracle2a":{"description":"Version of Canasta with just 11/8 intervals","size":31,"tune":440,"center":69,"range":1200,"cents":[0,32.45471,84.29982,116.75453,149.20923,201.05435,233.50906,265.96376,317.80888,350.26359,382.71829,434.56341,467.01812,499.47282,551.3179423647567,583.77265,616.22735,648.6820576352434,700.52718,732.98188,765.43659,817.28171,849.73641,882.19112,934.03624,966.49094,998.94565,1050.79077,1083.24547,1115.70018,1167.54529]},"miracle2m":{"description":"Fractal form with division=2*sqrt(7)+5 by Jacques Dudon, TL 12-2-2010","size":31,"tune":440,"center":69,"range":1200,"cents":[0,33.98951,82.61154,116.60105,150.59056,199.21259,233.2021,267.19161,315.81364,349.80315,383.79266,432.41468,466.4042,500.39371,549.01573,583.00524,616.99476,650.98427,699.60629,733.5958,767.58532,816.20734,850.19685,884.18636,932.80839,966.7979,1000.78741,1049.40944,1083.39895,1117.38846,1166.01049]},"miracle3":{"description":"41 out of 72-tET Pythagorean scale \"Miracle/Studloco\", Erlich/Keenan (2001)","size":41,"tune":440,"center":69,"range":1200,"cents":[0,33.33333,66.66667,83.33333,116.66667,150,183.33333,200,233.33333,266.66667,300,316.66667,350,383.33333,416.66667,433.33333,466.66667,500,533.33333,550,583.33333,616.66667,650,666.66667,700,733.33333,766.66667,783.33333,816.66667,850,883.33333,900,933.33333,966.66667,1000,1016.66667,1050,1083.33333,1116.66667,1133.33333,1166.66667]},"miracle31s":{"description":"Miracle-31 with Secor's minimax generator of 116.7155941 cents (5:9 exact). XH5, 1976","size":31,"tune":440,"center":69,"range":1200,"cents":[0,32.84406,83.87154,116.71559,149.55965,200.58713,233.43119,266.27525,317.30272,350.14678,382.99084,434.01832,466.86238,499.70643,550.73391,583.57797,616.42203,649.26609,700.29357,733.13762,765.98168,817.00916,849.85322,882.69728,933.72475,966.56881,999.41287,1050.44035,1083.28441,1116.12847,1167.15594]},"miracle31trans":{"description":"Miracle-31 (Canasta) symmetric 5-limit transversal","size":31,"tune":440,"center":69,"range":1200,"cents":[0,19.552568808780734,92.17871646099708,111.73128526977776,162.8511433252793,203.91000173077484,223.46257053955554,274.582428595057,315.64128700055255,335.1938558093333,386.3137138648348,427.3725722703304,478.4924303258319,498.04499913461245,539.1038575401082,590.2237155956096,609.7762844043904,660.896142459892,701.9550008653874,721.507569674168,772.6274277296696,813.6862861351652,864.8061441906668,884.3587129994474,925.417571404943,976.5374294604446,996.0899982692251,1037.148856674721,1088.2687147302222,1107.8212835390032,1180.4474311912193]},"miracle31trans511":{"description":"Miracle-31 2.5.11 symmetric transversal","size":31,"tune":440,"center":69,"range":1200,"cents":[0,14.477603581555735,55.536461987051275,123.94537009442634,138.4229736759822,179.48183208147768,247.89074018885267,262.3683437704084,303.42720217590403,371.836110283279,386.3137138648348,427.3725722703304,441.8501758518862,510.2590839592611,551.3179423647567,565.7955459463125,634.2044540536874,648.6820576352434,689.7409160407389,758.1498241481138,772.6274277296696,813.6862861351652,828.1638897167211,896.572797824096,937.6316562295916,952.1092598111474,1020.5181679185224,1061.5770263240179,1076.0546299055736,1144.4635380129487,1185.5223964184443]},"miracle3a":{"description":"Version of Studloco with just 11/8 intervals","size":41,"tune":440,"center":69,"range":1200,"cents":[0,32.45471,64.90941,84.29982,116.75453,149.20923,181.66394,201.05435,233.50906,265.96376,298.41847,317.80888,350.26359,382.71829,415.173,434.56341,467.01812,499.47282,531.92753,551.3179423647567,583.77265,616.22735,648.6820576352434,668.07247,700.52718,732.98188,765.43659,784.827,817.28171,849.73641,882.19112,901.58153,934.03624,966.49094,998.94565,1018.33606,1050.79077,1083.24547,1115.70018,1135.09059,1167.54529]},"miracle3p":{"description":"Least squares Pythagorean approximation to partch_43","size":41,"tune":440,"center":69,"range":1200,"cents":[0,30.96288,54.97796,85.94084,116.90371,147.86659,178.82947,202.84455,233.80742,264.7703,295.73318,319.74826,350.71114,381.67401,412.63689,436.65197,467.61485,498.57773,529.5406,553.55569,584.51856,615.48144,646.44431,670.4594,701.42227,732.38515,763.34803,787.36311,818.32599,849.28886,880.25174,904.26682,935.2297,966.19258,997.15545,1021.17053,1052.13341,1083.09629,1114.05916,1138.07425,1169.03712]},"miracle41s":{"description":"Miracle-41 with Secor's minimax generator of 116.7155941 cents (5:9 exact). XH5, 1976","size":41,"tune":440,"center":69,"range":1200,"cents":[0,32.84406,51.02748,83.87154,116.71559,149.55965,182.40371213406007,200.58713,233.43119,266.27525,299.11931,317.30272,350.14678,382.99084,415.8349,434.01832,466.86238,499.70643,532.55049,550.73391,583.57797,616.42203,649.26609,667.44951,700.29357,733.13762,765.98168,784.1651,817.00916,849.85322,882.69728,900.88069,933.72475,966.56881,999.41287,1017.5962878659401,1050.44035,1083.28441,1116.12847,1134.31188,1167.15594]},"miracle_10":{"description":"A 10-tone subset of Blackjack, g=116.667","size":10,"tune":440,"center":69,"range":1200,"cents":[0,116.66667,233.33333,350,466.66667,583.33333,700,816.66667,933.33333,1050]},"miracle_12":{"description":"A 12-tone subset of Blackjack with six 4-7-9-11 tetrads","size":12,"tune":440,"center":69,"range":1200,"cents":[0,116.66667,233.33333,350,433.33333,466.66667,550,583.33333,666.66667,783.33333,900,1016.66667]},"miracle_12a":{"description":"A 12-tone chain of Miracle generators and subset of Blackjack","size":12,"tune":440,"center":69,"range":1200,"cents":[0,116.66667,233.33333,350,466.66667,583.33333,700,816.66667,933.33333,1049.99999,1083.33333,1166.66667]},"miracle_24hi":{"description":"24 note mapping for Erlich/Keenan Miracle scale","size":24,"tune":440,"center":69,"range":1200,"cents":[0,33.33333,66.66667,150,183.33333,233.33333,266.66667,300,383.33333,416.66667,500,533.33333,583.33333,616.66667,650,733.33333,766.66667,816.66667,850,883.33333,966.66667,1000,1083.33333,1116.66667]},"miracle_24lo":{"description":"24 note mapping for Erlich/Keenan Miracle scale, low version, tuned to 72-equal","size":24,"tune":440,"center":69,"range":1200,"cents":[0,33.333333333333336,116.66666666666667,150,183.33333333333334,233.33333333333334,266.6666666666667,350,383.3333333333333,466.6666666666667,500,533.3333333333334,583.3333333333334,616.6666666666666,700,733.3333333333334,766.6666666666666,816.6666666666666,850,933.3333333333334,966.6666666666666,1050,1083.3333333333333,1116.6666666666667]},"miracle_8":{"description":"tet3a.scl in 72-tET","size":8,"tune":440,"center":69,"range":1200,"cents":[0,116.66667,316.66667,433.33333,583.33333,700,816.66667,933.33333]},"miring":{"description":"sorog miring, Sunda","size":5,"tune":440,"center":69,"range":1200,"cents":[0,420,540,930,1080]},"miring1":{"description":"Gamelan Miring from Serdang wetan, Tangerang. 1/1=309.5 Hz                      ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,149.938,280.799,678.49,823.448]},"miring2":{"description":"Gamelan Miring (Melog gender) from Serdang wetan                                ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,113.476,263.677,666.219,789.079]},"misca":{"description":"21/20 x 20/19 x 19/18=7/6 7/6 x 8/7=4/3                                         ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,173.2678912022099,266.87090560373764,498.04499913461245,701.9550008653874,786.4221943350649,875.2228920675972,968.8259064691249]},"miscb":{"description":"33/32 x 32/31x 31/27=11/9 11/9 x 12/11=4/3                                      ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,108.23737076589377,347.40794063398204,498.04499913461245,701.9550008653874,755.2279440955316,810.1923716312813,1049.3629414993693]},"miscc":{"description":"96/91 x 91/86 x 86/54=32/27. 32/27 x 9/8=4/3.","size":9,"tune":440,"center":69,"range":1200,"cents":[0,92.60143262695195,190.43729522286986,294.13499740383764,498.04499913461245,701.9550008653874,794.5564334923392,892.3922960882574,996.0899982692251]},"miscd":{"description":"27/26 x 26/25 x 25/24=9/8. 9/8 x 32/27=4/3.                                     ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,65.33734082685181,133.23757486649274,203.91000173077484,498.04499913461245,701.9550008653874,767.2923416922391,835.1925757318802,905.8650025961623]},"misce":{"description":"15/14 x 14/13 x 13/12=5/4. 5/4 x 16/15= 4/3.                                    ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,247.7410529609115,386.3137138648348,498.04499913461245,701.9550008653874,821.3978091264848,949.6960538262991,1088.2687147302222]},"miscf":{"description":"SupraEnh 1","size":9,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,498.04499913461245,638.9940969924247,701.9550008653874,764.9159047383502,813.6862861351652,1137.0390961270373]},"miscg":{"description":"SupraEnh 2                                                                      ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,435.0840952616501,498.04499913461245,701.9550008653874,764.9159047383502,813.6862861351652,1137.0390961270373]},"misch":{"description":"SupraEnh 3                                                                      ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,435.0840952616501,498.04499913461245,701.9550008653874,764.9159047383502,1088.2687147302222,1137.0390961270373]},"misty":{"description":"Misty temperament, g=96.787939, p=400, 5-limit","size":63,"tune":440,"center":69,"range":1200,"cents":[0,45.39496,58.24321,71.09145,83.93969,96.78794,142.1829,155.03115,167.87939,180.72763,193.57588,238.97084,251.81908,264.66733,277.51557,290.36382,303.21206,348.60702,361.45527,374.30351,387.15176,400,445.39496,458.24321,471.09145,483.93969,496.78794,542.1829,555.03115,567.87939,580.72763,593.57588,638.97084,651.81908,664.66733,677.51557,690.36382,703.21206,748.60702,761.45527,774.30351,787.15176,800,845.39496,858.24321,871.09145,883.93969,896.78794,942.1829,955.03115,967.87939,980.72763,993.57588,1038.97084,1051.81908,1064.66733,1077.51557,1090.36382,1103.21206,1148.60702,1161.45527,1174.30351,1187.15176]},"mistyschism":{"description":"Mistyschism scale 32805/32768 and 67108864/66430125","size":12,"tune":440,"center":69,"range":1200,"cents":[0,109.77756448184343,203.91000173077484,296.08871819177193,405.8662826736155,498.04499913461245,609.7762844043904,701.9550008653874,811.7325653472311,903.911281808228,998.0437190571595,1107.8212835390032]},"mitchell":{"description":"Geordan Mitchell, fractal Koch flake monochord scale. XH 18, 2006","size":10,"tune":440,"center":69,"range":1200,"cents":[0,57.19972,177.21778,306.18002,445.52767,597.08106,714.11625,839.64063,974.98272,1121.80959]},"mixed9_3":{"description":"A mixture of the hemiolic chromatic and diatonic genera, 75 + 75 + 150 + 200 c  ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,75,150,300,500,700,775,850,1000]},"mixed9_4":{"description":"Mixed enneatonic 4, each \"tetrachord\" contains 67 + 67 + 133 + 233 cents.","size":9,"tune":440,"center":69,"range":1200,"cents":[0,66.66667,133.33333,266.66667,500,700,766.66667,833.33333,966.66667]},"mixed9_5":{"description":"A mixture of the intense chromatic genus and the permuted intense diatonic      ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,100,200,400,500,700,800,900,1100]},"mixed9_6":{"description":"Mixed 9-tonic 6, Mixture of Chromatic and Diatonic                              ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,100,200,300,500,700,800,900,1000]},"mixed9_7":{"description":"Mixed 9-tonic 7, Mixture of Chromatic and Diatonic                              ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,100,300,400,500,700,800,1000,1100]},"mixed9_8":{"description":"Mixed 9-tonic 8, Mixture of Chromatic and Diatonic                              ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,200,300,400,500,700,900,1000,1100]},"mixol_chrom":{"description":"Mixolydian chromatic tonos                                                      ","size":24,"tune":440,"center":69,"range":2400,"cents":[0,80.53703503024445,165.00422849992202,253.80492623245422,299.9739036100171,347.40794063398204,551.3179423647567,782.4920358956317,845.4529397685943,877.8133968889177,910.7902805954461,1049.3629414993693,1200,1280.5370350302444,1365.0042284999222,1453.8049262324544,1499.9739036100173,1547.407940633982,1751.3179423647568,1982.492035895632,2045.4529397685944,2077.813396888918,2110.7902805954463,2249.3629414993693]},"mixol_chrom2":{"description":"Schlesinger's Mixolydian Harmonia in the chromatic genus                        ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,128.29824469981426,417.50796410436817,582.51219260429,671.3128903368223,764.9159047383502]},"mixol_chrominv":{"description":"A harmonic form of Schlesinger's Chromatic Mixolydian inverted                  ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,231.17409353087498,617.4878073957099,782.4920358956317,859.4484407992906,933.1290943962623]},"mixol_diat":{"description":"Mixolydian diatonic tonos                                                       ","size":24,"tune":440,"center":69,"range":2400,"cents":[0,80.53703503024445,165.00422849992202,347.40794063398204,446.3625328643495,551.3179423647567,663.0492276345343,782.4920358956317,910.7902805954461,978.6905146350871,1049.3629414993693,1123.0435950963413,1200,1280.5370350302444,1365.0042284999222,1547.407940633982,1646.3625328643495,1751.3179423647568,1863.0492276345344,1982.492035895632,2110.7902805954463,2178.6905146350873,2249.3629414993693,2323.0435950963415]},"mixol_diat2":{"description":"Schlesinger's Mixolydian Harmonia, a subharmonic series though 13 from 28       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Semitones                                                      ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,103,204,303,408,507,612,711,816,915,1020,1107]},"ndau1":{"description":"Ndau mbira tuning, Zimbabwe. 1/1=204 Hz, Tracey TR-205","size":6,"tune":440,"center":69,"range":1200,"cents":[0,161.91549610333038,393.08958963420525,667.6720182292624,924.6217846526794,1112.9850002587584]},"ndau2":{"description":"Ndau mbira tuning, Zimbabwe. 1/1=220 Hz, Tracey TR-176","size":6,"tune":440,"center":69,"range":1200,"cents":[0,289.209719404554,513.7123825251483,712.4156613867182,871.7219120088441,1000.0201567086582]},"ndau3":{"description":"Ndau mbira tuning, Zimbabwe. 1/1=184 Hz, Tracey TR-176","size":6,"tune":440,"center":69,"range":1200,"cents":[0,161.57943203373821,277.59065532774696,544.4615609314845,775.6356544623594,1000.7880582732848]},"negri5_19":{"description":"Negri[19], 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Ortgies, 2002","size":12,"tune":440,"center":69,"range":1200,"cents":[0,85.53299,194.526,294.13499740383764,389.052,502.737,583.57799,697.263,787.48799,891.789,1000.782,1086.314993942288]},"notchedcube":{"description":"Otonal tetrads sharing a note with the root tetrad, a notched chord cube","size":28,"tune":440,"center":69,"range":1200,"cents":[0,35.69681207286232,70.67242686428234,84.46719346967761,119.44280826109726,155.13962033395975,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,351.3380990734152,386.3137138648348,435.0840952616501,470.7809073345124,498.04499913461245,582.51219260429,617.4878073957099,653.1846194685722,701.9550008653874,737.6518129382499,772.6274277296696,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,1003.8015212605447,1017.5962878659401,1088.2687147302222]},"nova-lesfip":{"description":"9-limit lesfip version of Nova transversal, 14 to 21 cent 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","size":23,"tune":440,"center":69,"range":1200,"cents":[0,84.46719346967761,111.73128526977776,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401,1088.2687147302222,1115.5328065303224]},"novaro15":{"description":"1-15 diamond, see Novaro, 1927, Sistema Natural base del Natural-Aproximado, p  ","size":49,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,119.44280826109726,128.29824469981426,138.57266090392307,150.6370585006306,165.00422849992202,182.40371213406007,203.91000173077484,231.17409353087498,247.7410529609115,266.87090560373764,289.209719404554,315.64128700055255,347.40794063398204,359.4723382306895,386.3137138648348,417.50796410436817,435.0840952616501,454.2139479044758,498.04499913461245,536.9507723654654,551.3179423647567,563.3823399614643,582.51219260429,617.4878073957099,636.6176600385357,648.6820576352434,663.0492276345343,701.9550008653874,745.7860520955244,764.9159047383502,782.4920358956317,813.6862861351652,840.5276617693106,852.5920593660182,884.3587129994474,910.7902805954461,933.1290943962623,952.2589470390885,968.8259064691249,996.0899982692251,1017.5962878659401,1034.995771500078,1049.3629414993693,1061.427339096077,1071.7017553001858,1080.5571917389027,1088.2687147302222]},"novaro_eb":{"description":"Novaro (?) equal beating 4/3 with stretched octave, almost pure 3/2","size":12,"tune":440,"center":69,"range":1203.35143,"cents":[0,100.59143,200.22381,301.21327,401.21763,502.56285,602.89958,702.29381,803.05544,902.8469,1003.98852,1104.13506]},"nufip15":{"description":"A 15-note lesfip mutant nusecond, target 11-limit diamond, error limit 12 cents","size":15,"tune":440,"center":69,"range":1200,"cents":[0,44.85398,156.27185,200.7703,312.16415,387.79495,466.95289,544.35733,621.76177,700.91971,776.55051,887.94437,932.44281,1043.86068,1088.71467]},"ochmohaporc":{"description":"Jade-mohajira-porcupine wakalix","size":7,"tune":440,"center":69,"range":1200,"cents":[0,138.57266090392307,359.4723382306895,498.04499913461245,701.9550008653874,840.5276617693106,1061.427339096077]},"oconnell":{"description":"Walter O'Connell, Pythagorean scale of 25 octaves reduced by Phi, Xenharmonikon 15 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Enharmonic","size":8,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,386.3137138648348,498.04499913461245,772.6274277296696,821.3978091264848,884.3587129994474]},"octony_trans2":{"description":"Complex 6 of p. 115 based on Archytas's Enharmonic, an Octony                   ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,323.3528099918721,372.12319138868736,435.0840952616501,498.04499913461245,1137.0390961270373]},"octony_trans3":{"description":"Complex 5 of p. 115 based on Archytas's Enharmonic, an Octony                   ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,274.582428595057,323.3528099918721,386.3137138648348,498.04499913461245,1088.2687147302222]},"octony_trans4":{"description":"Complex 11 of p. 115, an Octony based on Archytas's Enharmonic, 8 tones         ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,435.0840952616501,498.04499913461245,821.3978091264848,870.1681905232999,933.1290943962623]},"octony_trans5":{"description":"Complex 15 of p. 115, an Octony based on Archytas's Enharmonic, 8 tones         ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,337.54333246801957,386.3137138648348,449.2746177377975,498.04499913461245,1151.229618603185]},"octony_trans6":{"description":"Complex 14 of p. 115, an Octony based on Archytas's Enharmonic, 8 tones         ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,48.77038139681492,62.960903872962575,111.73128526977776,435.0840952616501,483.8544766584651,498.04499913461245,546.8153805314276]},"octony_u":{"description":"7)8 octony from 1.3.5.7.9.11.13.15, 1.3.5.7.9.11.13 tonic (subharmonics 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Oettingen's Orthotonophonium tuning with central 1/1                        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Golomb Ruler of 10 segments, length 72                                  ","size":10,"tune":440,"center":69,"range":1200,"cents":[0,16.66667,66.66667,216.66667,466.66667,550,783.33333,900,1066.66667,1166.66667]},"ogr10a":{"description":"2nd Optimal Golomb Ruler of 10 segments, length 72","size":10,"tune":440,"center":69,"range":1200,"cents":[0,16.66667,150,316.66667,400,516.66667,866.66667,933.33333,966.66667,1150]},"ogr11":{"description":"Optimal Golomb Ruler of 11 segments, length 85                                  ","size":11,"tune":440,"center":69,"range":1200,"cents":[0,28.23529,84.70588,338.82353,409.41176,564.70588,607.05882,776.47059,960,1058.82353,1072.94118]},"ogr12":{"description":"Optimal Golomb Ruler of 12 segments, length 106                                 ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,22.64151,56.60377,283.01887,418.86792,486.79245,667.92453,792.45283,962.26415,1007.54717,1109.43396,1120.75472]},"ogr2":{"description":"Optimal Golomb Ruler of 2 segments, length 3                                    ","size":2,"tune":440,"center":69,"range":1200,"cents":[0,400]},"ogr3":{"description":"Optimal Golomb Ruler of 3 segments, length 6                                    ","size":3,"tune":440,"center":69,"range":1200,"cents":[0,200,800]},"ogr4":{"description":"Optimal Golomb Ruler of 4 segments, length 11                                   ","size":4,"tune":440,"center":69,"range":1200,"cents":[0,109.09091,436.36364,981.81818]},"ogr4a":{"description":"2nd Optimal Golomb Ruler of 4 segments, length 11","size":4,"tune":440,"center":69,"range":1200,"cents":[0,218.18182,763.63636,872.72727]},"ogr5":{"description":"Optimal Golomb Ruler of 5 segments, length 17                                   ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,70.58824,282.35294,705.88235,847.05882]},"ogr5a":{"description":"2nd Optimal Golomb Ruler of 5 segments, length 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Kunst 1949                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,118,253,525,659,772,945]},"pelog_c":{"description":"Pelog, average class C. Kunst 1949                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,117,262,508,668,779,945]},"pelog_he":{"description":"Observed Javanese Pelog scale, Helmholtz/Ellis p. 518, nr.96","size":7,"tune":440,"center":69,"range":1200,"cents":[0,137,446,575,687,820,1098]},"pelog_jc":{"description":"John Chalmers' Pelog, on keys C# E F# A B c#, like Olympos' Enharmonic on 4/3. 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","size":12,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,189.04953,294.13499740383764,386.3137138648348,498.04499913461245,588.2699948076753,693.05403,792.1799965384502,887.0201,996.0899982692251,1088.2687147302222]},"pris":{"description":"Optimized (15/14)^3 (16/15)^4 (21/20)^3 (25/24)^2 scale.","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,196.19847873945548,266.87090560373764,386.3137138648348,498.04499913461245,582.51219260429,701.9550008653874,813.6862861351652,884.3587129994474,968.8259064691249,1080.5571917389027]},"prisun":{"description":"Unimarv tempered pris/cv3, 166-tET","size":12,"tune":440,"center":69,"range":1200,"cents":[0,115.66265,202.40964,267.46988,383.13253,498.79518,585.54217,701.20482,816.86747,881.92771,968.6747,1084.33735]},"prod13":{"description":"13-limit binary products [1 3 5 7 9 11 13]                                      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Chalmers '96                                       ","size":39,"tune":440,"center":69,"range":1200,"cents":[0,27.26409180010014,41.058858405495585,76.03447319691549,111.73128526977776,155.13962033395975,203.91000173077484,231.17409353087498,239.60681380363727,274.582428595057,294.13499740383764,342.905378800653,386.3137138648348,427.3725722703304,462.34818706174997,470.7809073345124,498.04499913461245,506.4777194073748,541.4533341987946,590.2237155956096,609.7762844043904,658.5466658012054,693.5222805926251,701.9550008653874,729.2190926654876,737.6518129382499,772.6274277296696,813.6862861351652,857.0946211993472,905.8650025961623,925.417571404943,960.3931861963626,968.8259064691249,996.0899982692251,1044.8603796660404,1088.2687147302222,1123.9655268030847,1158.9411415945044,1172.7359081998998]},"prod7s":{"description":"Single Cubic Corner 7-limit = superstellated three out of 1 3 5 7 tetrany","size":20,"tune":440,"center":69,"range":1200,"cents":[0,155.13962033395975,203.91000173077484,239.60681380363727,274.582428595057,386.3137138648348,470.7809073345124,506.4777194073748,541.4533341987946,590.2237155956096,701.9550008653874,737.6518129382499,772.6274277296696,857.0946211993472,905.8650025961623,968.8259064691249,1088.2687147302222,1123.9655268030847,1158.9411415945044,1172.7359081998998]},"prodigy11":{"description":"Prodigy[11] (225/224, 441/400) hobbit in 72-tET","size":11,"tune":440,"center":69,"range":1200,"cents":[0,116.66667,233.33333,266.66667,383.33333,500,700,816.66667,933.33333,966.66667,1083.33333]},"prodigy12":{"description":"Prodigy[12] (225/224, 441/440) hobbit, 72-tET tuning. 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Chalmers '96                                ","size":40,"tune":440,"center":69,"range":1200,"cents":[0,26.84137563414541,53.27294323014412,97.36411527048664,111.73128526977776,155.13962033395975,191.8456041340673,203.91000173077484,231.17409353087498,262.3683437704084,320.14384883388163,342.482662634698,359.4723382306895,386.3137138648348,427.3725722703304,462.34818706174997,470.7809073345124,481.05532353862117,498.04499913461245,551.3179423647567,590.6464317615646,609.3535682384356,648.6820576352434,701.9550008653874,718.9446764613788,737.6518129382499,772.6274277296696,813.6862861351652,840.5276617693106,857.517337365302,879.8561511661186,937.6316562295916,968.8259064691249,996.0899982692251,1008.1543958659328,1044.8603796660404,1088.2687147302222,1102.6358847295135,1146.7270567698558,1173.1586243658548]},"prog_ennea":{"description":"Progressive Enneatonic, 50+100+150+200 cents in each half (500 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Used in Persian music","size":17,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,113.68500605771193,203.91000173077484,294.13499740383764,317.5950077884867,407.8200034615497,498.04499913461245,588.2699948076753,611.7300051923246,701.9550008653874,792.1799965384502,815.6400069230993,905.8650025961623,996.0899982692251,1019.5500086538742,1109.775004326937]},"pyth_17s":{"description":"Schismatically altered 17-tone Pythagorean scale","size":17,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,111.73128526977776,203.91000173077484,294.13499740383764,315.64128700055255,407.8200034615497,498.04499913461245,588.2699948076753,609.7762844043904,701.9550008653874,792.1799965384502,813.6862861351652,905.8650025961623,996.0899982692251,1017.5962878659401,1109.775004326937]},"pyth_22":{"description":"Pythagorean shrutis                                                             ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,113.68500605771193,180.44999134612573,203.91000173077484,294.13499740383764,317.5950077884867,384.35999307690076,407.8200034615497,498.04499913461245,521.5050095192616,588.2699948076753,611.7300051923246,701.9550008653874,792.1799965384502,815.6400069230993,882.4049922115132,905.8650025961623,996.0899982692251,1019.5500086538742,1086.314993942288,1109.775004326937]},"pyth_27":{"description":"27-tone Pythagorean scale                                                       ","size":27,"tune":440,"center":69,"range":1200,"cents":[0,23.460010384649014,90.22499567306306,113.68500605771193,180.44999134612573,203.91000173077484,227.37001211542386,294.13499740383764,317.5950077884867,384.35999307690076,407.8200034615497,498.04499913461245,521.5050095192616,588.2699948076753,611.7300051923246,678.4949904807384,701.9550008653874,725.4150112500364,792.1799965384502,815.6400069230993,882.4049922115132,905.8650025961623,929.3250129808114,996.0899982692251,1019.5500086538742,1086.314993942288,1109.775004326937]},"pyth_31":{"description":"31-tone Pythagorean 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of the so-called Pythagorean chromatic, recorded by Gaudentius      ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,203.91000173077484,498.04499913461245,701.9550008653874,792.1799965384502,905.8650025961623,996.0899982692251]},"pyth_sev":{"description":"26-tone Pythagorean scale based on 7/4","size":26,"tune":440,"center":69,"range":1200,"cents":[0,44.129532345624646,88.25906469124929,132.3886,187.04456118525044,231.17409353087498,275.3036258764997,319.43315822212435,363.56269,418.2186547161254,462.34818706174997,506.4777194073748,550.6072517529994,594.73678,649.3927482470006,693.5222805926251,737.6518129382499,781.7813452838747,825.91088,880.5668417778755,924.6963741235004,968.8259064691249,1012.9554388147496,1057.0849711603744,1111.7409353087507,1155.8704676543755]},"pyth_sev_16":{"description":"16-tone Pythagorean scale based on 7/4, 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","size":31,"tune":440,"center":69,"range":1200,"cents":[0,41.058858405495585,82.11771681099103,123.17657521648674,164.23543362198214,181.01942,222.0782802428526,263.1371386483482,304.1959970538437,345.2548554593393,386.3137138648348,427.3725722703304,468.43143067582605,509.4902890813215,550.5491474868169,567.33314,608.39199,649.450852513183,690.5097109186786,731.5685693241742,772.6274277296696,813.6862861351652,854.7451445406608,895.8040029461562,936.862861351652,953.64685,994.70571,1035.764566378018,1076.8234247835132,1117.8822831890088,1158.9411415945044]},"qadir":{"description":"Abd al-Qadir al-Maraghi fretting by (Hamed 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third","size":22,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,121.79228491978375,162.8511433252793,203.91000173077484,274.582428595057,325.7022866505586,386.3137138648348,456.986140729117,498.04499913461245,549.164857190114,590.2237155956096,660.896142459892,701.9550008653874,772.6274277296696,823.7472857851711,884.3587129994474,935.478571054949,976.5374294604446,1027.657287515946,1088.2687147302222,1158.9411415945044]},"quint_chrom":{"description":"Aristides Quintilianus' Chromatic genus                                         ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,98.95459223036757,203.91000173077484,498.04499913461245,701.9550008653874,800.909593095755,905.8650025961623]},"qx1":{"description":"breed tempered |-15 0 -2 7> |-9 0 -7-9> Fokker 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40.","size":24,"tune":440,"center":69,"range":1200,"cents":[0,54.51771509640728,123.77631252395206,167,203.91000173077484,257,301.84652039515726,369,432,463.7620164984876,498.04499913461245,554.3502559996035,605,652.4634221871296,701.9550008653874,767,808,871.4229064955563,940,970,996.0899982692251,1038,1076.4072080120093,1132.099765960359]},"ragib7":{"description":"7-limit version of Idris Rag'ib Bey scale","size":24,"tune":440,"center":69,"range":1200,"cents":[0,56.481904388134645,125.52605187517298,168.2131896579122,203.91000173077484,258.4381853309754,301.84652039515726,372.12319138868736,435.0840952616501,462.34818706174997,498.04499913461245,554.5269035227474,603.2972849195623,653.1846194685722,701.9550008653874,764.9159047383502,807.6030425210895,870.1681905232999,941.5618146690248,968.8259064691249,996.0899982692251,1039.4983333334073,1074.473948124827,1129.3275731357178]},"ragipu16":{"description":"16-step ragisma pump (1/3, 10/7, 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","size":23,"tune":440,"center":69,"range":1200,"cents":[0,128.29824469981426,150.6370585006306,182.40371213406007,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,417.50796410436817,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,782.4920358956317,813.6862861351652,884.3587129994474,933.1290943962623,968.8259064691249,1017.5962878659401,1049.3629414993693,1071.7017553001858]},"rectsp8":{"description":"Rectangle minimal beats spectrum of order 8                                     ","size":22,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,551.3179423647567,582.51219260429,617.4878073957099,701.9550008653874,782.4920358956317,813.6862861351652,840.5276617693106,884.3587129994474,933.1290943962623,968.8259064691249,1017.5962878659401,1049.3629414993693,1071.7017553001858,1088.2687147302222]},"rectsp8a":{"description":"Rectangle minimal beats spectrum of order 8 union with inversion                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","size":28,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,347.40794063398204,386.3137138648348,435.0840952616501,498.04499913461245,551.3179423647567,582.51219260429,617.4878073957099,636.6176600385357,701.9550008653874,764.9159047383502,782.4920358956317,813.6862861351652,840.5276617693106,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401,1049.3629414993693,1071.7017553001858,1088.2687147302222,1101.0454077696324]},"rectsp9a":{"description":"Rectangle minimal beats spectrum of order 9 union with inversion                ","size":37,"tune":440,"center":69,"range":1200,"cents":[0,98.95459223036757,111.73128526977776,128.29824469981426,150.6370585006306,182.40371213406007,203.91000173077484,231.17409353087498,266.87090560373764,315.64128700055255,347.40794063398204,359.4723382306895,386.3137138648348,417.50796410436817,435.0840952616501,498.04499913461245,551.3179423647567,563.3823399614643,582.51219260429,617.4878073957099,636.6176600385357,648.6820576352434,701.9550008653874,764.9159047383502,782.4920358956317,813.6862861351652,840.5276617693106,852.5920593660182,884.3587129994474,933.1290943962623,968.8259064691249,996.0899982692251,1017.5962878659401,1049.3629414993693,1071.7017553001858,1088.2687147302222,1101.0454077696324]},"redfield":{"description":"John Redfield, New Diatonic Scale (1930), inverse of 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Sari). 1/1=330 Hz                           ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,150.6370585006306,311.264,698.454,846.168]},"renteng2":{"description":"Gamelan Renteng from Chikebo (Tg. Sari). 1/1=360 Hz                             ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,303.577,717.911,843.485]},"renteng3":{"description":"Gamelan Renteng from Lebakwangi (Pameungpeuk). 1/1=377 Hz                       ","size":6,"tune":440,"center":69,"range":1200,"cents":[0,111.157,310.275,644.372,775.381,1008.388]},"renteng4":{"description":"Gamelan Renteng Bale` bandung from Kanoman (Cheribon). 1/1=338 Hz               ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,216.385,304.508,722.323,836.583]},"riccati":{"description":"Giordano Riccati, Venetian temperament, Barbieri, 1986","size":12,"tune":440,"center":69,"range":1200,"cents":[0,91.85286,196.74124,301.62959,393.48248,501.62935,591.85298,698.37062,791.85275,895.11186,1001.62947,1091.8531]},"riemann":{"description":"Imaginary part of zeroes of the Riemann Zeta 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(tm) 19-tone scale, see manual, 1974                                  ","size":19,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,203.91000173077484,274.582428595057,315.64128700055255,386.3137138648348,456.986140729117,498.04499913461245,590.2237155956096,631.2825740011052,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,976.5374294604446,1017.5962878659401,1088.2687147302222,1158.9411415945044]},"scheffer":{"description":"H.Th. 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","size":12,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,203.91000173077484,266.87090560373764,435.0840952616501,498.04499913461245,533.741811207475,701.9550008653874,764.9159047383502,905.8650025961623,968.8259064691249,1137.0390961270373]},"sejati":{"description":"salendro sejati, Sunda","size":5,"tune":440,"center":69,"range":1200,"cents":[0,282,494,706,988]},"sekati1":{"description":"Gamelan sekati from Sumenep, East-Madura. 1/1=244 Hz","size":7,"tune":440,"center":69,"range":1200,"cents":[0,149.454,343.21,458.575,663.694,838.343,1008.903]},"sekati2":{"description":"Gamelan Kyahi Sepuh from kraton Solo. 1/1=216 Hz","size":7,"tune":440,"center":69,"range":1200,"cents":[0,171.55,334.243,539.62,707.29,820.685,1011.798]},"sekati3":{"description":"Gamelan Kyahi Henem from kraton Solo. 1/1=168.5 Hz","size":7,"tune":440,"center":69,"range":1200,"cents":[0,189.581,283.668,597.856,750.916,841.713,1032.94]},"sekati4":{"description":"Gamelan Kyahi Guntur madu from kraton 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Pagan Kelod                                    ","size":5,"tune":440,"center":69,"range":1205,"cents":[0,110,350,650,810]},"selisir2":{"description":"Gamelan semara pagulingan, Bali. Kamasan                                        ","size":5,"tune":440,"center":69,"range":1190,"cents":[0,115,235,630,770]},"selisir3":{"description":"Gamelan gong, Pliatan, Bali. 1/1=280 Hz, McPhee, 1966","size":5,"tune":440,"center":69,"range":1200,"cents":[0,148.0589,268.63657,638.9941,762.70629]},"selisir4":{"description":"Gamelan gong, Apuan, Bali. 1/1=285 Hz. McPhee, 1966","size":5,"tune":440,"center":69,"range":1200,"cents":[0,100.30396,211.31852,629.59439,732.06418]},"selisir5":{"description":"Gamelan gong, Sayan, Bali. 1/1=275 Hz. McPhee, 1966","size":5,"tune":440,"center":69,"range":1200,"cents":[0,91.94554,289.20972,661.61786,761.76534]},"selisir6":{"description":"Gamelan gong, Gianyar, Bali. 1/1=274 Hz. 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","size":7,"tune":440,"center":69,"range":1200,"cents":[0,266.87090560373764,340.5515592007096,417.50796410436817,764.9159047383502,863.8704969687176,968.8259064691249]},"sharm1c-conp":{"description":"Subharm1C-ConPhryg                                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,315.64128700055255,404.4419847330848,498.04499913461245,813.6862861351652,933.1290943962623,1061.427339096077]},"sharm1c-dor":{"description":"Subharm1C-Dorian                                                                ","size":8,"tune":440,"center":69,"range":1276.9564049036587,"cents":[0,347.40794063398204,446.3625328643495,551.3179423647567,663.0492276345343,782.4920358956317,1049.3629414993693,1200]},"sharm1c-lyd":{"description":"Subharm1C-Lydian                                                                ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,289.209719404554,369.74675443479833,454.2139479044758,636.6176600385357,656.9853543629919,1071.7017553001858,1134.6626591731483]},"sharm1c-mix":{"description":"Subharm1C-Mixolydian                                                            ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,266.87090560373764,340.5515592007096,417.50796410436817,582.51219260429,968.8259064691249,1080.5571917389027]},"sharm1c-phr":{"description":"Subharm1C-Phrygian                                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,315.64128700055255,404.4419847330848,498.04499913461245,701.9550008653874,1061.427339096077,1129.3275731357178]},"sharm1e-conm":{"description":"Subharm1E-ConMixolydian","size":7,"tune":440,"center":69,"range":1200,"cents":[0,340.5515592007096,378.6021908735153,417.50796410436817,863.8704969687176,915.5529632389809,968.8259064691249]},"sharm1e-conp":{"description":"Subharm1E-ConPhrygian                                                           ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,404.4419847330848,450.61096211064773,498.04499913461245,933.1290943962623,996.0899982692251,1061.427339096077]},"sharm1e-dor":{"description":"Subharm1E-Dorian                                                                ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,446.3625328643495,498.04499913461245,551.3179423647567,663.0492276345343,782.4920358956317,1123.0435950963413,1161.094226769147]},"sharm1e-lyd":{"description":"Subharm1E-Lydian                                                                ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,369.74675443479833,411.4652562276102,454.2139479044758,636.6176600385357,656.9853543629919,1134.6626591731483,1167.0231162934717]},"sharm1e-mix":{"description":"Subharm1E-Mixolydian                                                            ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,340.5515592007096,378.6021908735153,417.50796410436817,582.51219260429,1080.5571917389027,1139.2487123160386]},"sharm1e-phr":{"description":"Subharm1E-Phrygian                                                              ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,404.4419847330848,450.61096211064773,498.04499913461245,701.9550008653874,1129.3275731357178,1164.3031879271377]},"sharm2c-15":{"description":"Subharm2C-15-Harmonia                                                           ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,386.3137138648348,459.99436746180675,536.9507723654654,701.9550008653874,983.313305229815,1088.2687147302222]},"sharm2c-hypod":{"description":"SHarm2C-Hypodorian                                                              ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,359.4723382306895,427.3725722703304,498.04499913461245,571.7256527315844,648.6820576352434,996.0899982692251,1095.044590499593]},"sharm2c-hypol":{"description":"SHarm2C-Hypolydian                                                              ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,281.35830436442757,386.3137138648348,498.04499913461245,617.4878073957099,745.7860520955244,1034.995771500078,1115.5328065303224]},"sharm2c-hypop":{"description":"SHarm2C-Hypophrygian                                                            ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,435.0840952616501,498.04499913461245,563.3823399614643,631.2825740011052,701.9550008653874,1017.5962878659401,1106.3969855984722]},"sharm2e-15":{"description":"Subharm2E-15-Harmonia                                                           ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,459.99436746180675,498.04499913461245,536.9507723654654,701.9550008653874,1088.2687147302222,1143.2331422659722]},"sharm2e-hypod":{"description":"SHarm2E-Hypodorian                                                              ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,427.3725722703304,462.34818706174997,498.04499913461245,571.7256527315844,648.6820576352434,1095.044590499593,1146.7270567698558]},"sharm2e-hypol":{"description":"SHarm2E-Hypolydian                                                              ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,386.3137138648348,441.2781414005845,498.04499913461245,617.4878073957099,745.7860520955244,1115.5328065303224,1157.2513083231345]},"sharm2e-hypop":{"description":"SHarm2E-Hypophrygian                                                            ","size":8,"tune":440,"center":69,"range":1200,"cents":[0,498.04499913461245,530.4054562549358,563.3823399614643,631.2825740011052,701.9550008653874,1106.3969855984722,1152.5659629760353]},"sheiman":{"description":"Michael Sheiman's harmonic scale, TL 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Ayers ICMC 1996","size":5,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,435.0840952616501,685.3880414353508,933.1290943962623]},"slendro_7_1":{"description":"Septimal Slendro 1, from HMSL Manual, also Lou Harrison, Jacques Dudon","size":5,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,462.34818706174997,701.9550008653874,933.1290943962623]},"slendro_7_2":{"description":"Septimal Slendro 2, from Lou Harrison, Jacques Dudon's APTOS","size":5,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,470.7809073345124,701.9550008653874,933.1290943962623]},"slendro_7_3":{"description":"Septimal Slendro 3, Harrison, Dudon, called \"MILLS\" after Mills Gamelan         ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,435.0840952616501,701.9550008653874,933.1290943962623]},"slendro_7_4":{"description":"Septimal Slendro 4, from Lou Harrison, Jacques Dudon, called \"NAT\"              ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,470.7809073345124,701.9550008653874,968.8259064691249]},"slendro_7_5":{"description":"Septimal Slendro 5, from Jacques Dudon                                          ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,266.87090560373764,470.7809073345124,737.6518129382499,1004.5227185419874]},"slendro_7_6":{"description":"Septimal Slendro 6, from Robert Walker","size":5,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,462.34818706174997,693.5222805926251,960.3931861963626]},"slendro_a1":{"description":"Dudon's Slendro A1, \"Seven-Limit Slendro Mutations\", 1/1 8:2 Jan 1994, hexany 1.3.7.21 ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,498.04499913461245,701.9550008653874,968.8259064691249]},"slendro_ang":{"description":"Gamelan Angklung Sangsit, North Bali. 1/1=294 Hz                                ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,231.17409353087498,457.834,684.199,922.793]},"slendro_ang2":{"description":"Angklung from Banyuwangi. 1/1=298 Hz. 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scale","size":19,"tune":440,"center":69,"range":1200,"cents":[0,67.90023403964102,133.23757486649274,196.19847873945548,256.9497664234168,315.64128700055255,378.6021908735153,439.35347855747705,498.04499913461245,568.7174259988948,636.6176600385357,701.9550008653874,769.8552349050285,835.1925757318802,898.1534796048427,958.9047672888044,1017.5962878659401,1080.5571917389027,1141.3084794228644]},"super_19b":{"description":"Another superparticular 19-tone scale","size":19,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,104.95540950040728,203.91000173077484,251.34403875473973,297.5130161323026,342.482662634698,386.3137138648348,470.7809073345124,551.3179423647567,628.2743472684155,701.9550008653874,772.6274277296696,840.5276617693106,905.8650025961623,968.8259064691249,1029.5771941530866,1088.2687147302222,1145.0355724642502]},"super_22":{"description":"A superparticular 22-tone 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scale","size":22,"tune":440,"center":69,"range":1200,"cents":[0,67.90023403964102,133.23757486649274,196.19847873945548,256.9497664234168,315.64128700055255,376.3925746845142,435.0840952616501,491.8509529956779,546.8153805314276,600.0883237615718,651.7707900318348,701.9550008653874,758.7218585994156,813.6862861351652,866.9592293653092,918.6416956355724,968.8259064691249,1017.5962878659401,1065.030324889905,1111.1993022674676,1156.1689487698634]},"super_24":{"description":"Superparticular 24-tone scale, inverse of Mans.ur 'Awad","size":24,"tune":440,"center":69,"range":1200,"cents":[0,56.766857734028186,111.73128526977776,165.00422849992202,216.686694770185,266.87090560373764,315.64128700055255,363.07532402451756,409.24430140208034,454.2139479044758,498.04499913461245,551.3179423647567,603.00040863502,653.1846194685722,701.9550008653874,758.7218585994156,813.6862861351652,866.9592293653092,918.6416956355724,968.8259064691249,1017.5962878659401,1065.030324889905,1111.1993022674676,1156.1689487698634]},"super_8":{"description":"A superparticular 8-tone scale","size":8,"tune":440,"center":69,"range":1200,"cents":[0,165.00422849992202,315.64128700055255,454.2139479044758,582.51219260429,701.9550008653874,884.3587129994474,1049.3629414993693]},"super_9":{"description":"A superparticular 9-tone 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August-Dominant-Diminished-Pajara-Injera-Schism superduperwakalix","size":7,"tune":440,"center":69,"range":701.9550008653874,"cents":[0,119.44280826109726,182.40371213406007,266.87090560373764,386.3137138648348,498.04499913461245,617.4878073957099]},"superfif7b":{"description":"3/2 repeating 12-tET patent val August-Dominant-Diminished-Pajara-Injera-Meantone superduperwakalix","size":7,"tune":440,"center":69,"range":701.9550008653874,"cents":[0,119.44280826109726,231.17409353087498,315.64128700055255,435.0840952616501,498.04499913461245,617.4878073957099]},"supermagic15":{"description":"Supermagic[15] hobbit in 5-limit minimax tuning","size":15,"tune":440,"center":69,"range":1200,"cents":[0,59.7214,176.9282,236.6496,321.1168,380.8382,498.04499913461245,557.7664,642.2336,701.9550008653874,819.1618,878.8832,963.3504,1023.0718,1140.2786]},"supertriskaideka":{"description":"13d superwakalix","size":13,"tune":440,"center":69,"range":1200,"cents":[0,119.44280826109726,165.00422849992202,284.44703676101926,396.17832203079695,498.04499913461245,551.3179423647567,663.0492276345343,782.4920358956317,813.6862861351652,933.1290943962623,1049.3629414993693,1098.1333228961844]},"suppig":{"description":"Friedrich Suppig's 19-tone JI scale. Calculus Musicus, Berlin 1722","size":19,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,203.91000173077484,274.582428595057,315.64128700055255,386.3137138648348,456.986140729117,498.04499913461245,590.2237155956096,631.2825740011052,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,976.5374294604446,1017.5962878659401,1088.2687147302222,1129.3275731357178]},"surupan_7":{"description":"7-tone surupan (Sunda)","size":7,"tune":440,"center":69,"range":1200,"cents":[0,120,390,510,660,780,1050]},"surupan_9":{"description":"Theoretical nine-tone surupan gamut                                             ","size":9,"tune":440,"center":69,"range":1200,"cents":[0,120,270,390,510,660,780,930,1050]},"surupan_ajeng":{"description":"Surupan ajeng, West-Java","size":5,"tune":440,"center":69,"range":1200,"cents":[0,150,270,660,810]},"surupan_degung":{"description":"Surupan degung, Sunda","size":5,"tune":440,"center":69,"range":1200,"cents":[0,360,480,720,1080]},"surupan_madenda":{"description":"Surupan madenda                                                                 ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,360,480,840,1080]},"surupan_melog":{"description":"Surupan melog jawar, West-Java","size":5,"tune":440,"center":69,"range":1200,"cents":[0,120,270,660,780]},"surupan_miring":{"description":"Surupan miring, West-Java","size":5,"tune":440,"center":69,"range":1200,"cents":[0,150,270,690,810]},"surupan_x":{"description":"Surupan tone-gender X (= unmodified nyorog)                                     ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,120,270,660,810]},"surupan_y":{"description":"Surupan tone-gender Y (= mode on pamiring)                                      ","size":5,"tune":440,"center":69,"range":1200,"cents":[0,120,240,660,780]},"sverige":{"description":"Scale on Swedish 50 crown banknote with Swedish fiddle","size":24,"tune":440,"center":69,"range":3100,"cents":[0,200,400,500,700,900,1000,1100,1200,1300,1400,1500,1600,1700,1800,1900,2000,2100,2200,2300,2400,2600,2800,2900]},"swet1":{"description":"Swetismic tempering of [7/6, 9/7, 3/2, 11/6, 2], 578-tET tuning","size":5,"tune":440,"center":69,"range":1200,"cents":[0,267.82007,433.91003,701.7301,1050.51903]},"swet2":{"description":"Swetismic tempering of [7/6, 9/7, 3/2, 18/11, 2], 578-tET tuning","size":5,"tune":440,"center":69,"range":1200,"cents":[0,267.82007,433.91003,701.7301,851.21107]},"swet3":{"description":"Swetismic tempering of [7/6, 10/7, 5/3, 11/6, 2], 578-tET tuning","size":5,"tune":440,"center":69,"range":1200,"cents":[0,267.82007,616.609,884.42907,1050.51903]},"swet4":{"description":"Swetismic tempering of [7/6, 10/7, 5/3, 20/11, 2], 578-tET tuning","size":5,"tune":440,"center":69,"range":1200,"cents":[0,267.82007,616.609,884.42907,1033.91003]},"swet5":{"description":"Swetismic tempering of [7/6, 9/7, 10/7, 11/6, 2], 578-tET tuning","size":5,"tune":440,"center":69,"range":1200,"cents":[0,267.82007,433.91003,616.609,1050.51903]},"swet6":{"description":"Swetismic tempering of [9/7, 10/7, 11/7, 11/6, 2], 578-tET tuning","size":5,"tune":440,"center":69,"range":1200,"cents":[0,433.91003,616.609,782.69896,1050.51903]},"syntonolydian":{"description":"Greek Syntonolydian, also genus duplicatum medium, or ditonum (Al-Farabi)       ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,407.8200034615497,611.7300051923246,701.9550008653874,905.8650025961623,1109.775004326937]},"syrian":{"description":"d'Erlanger vol.5, p. 29. After ^Sayh.'Ali ad-Darwis^ (Shaykh Darvish)","size":30,"tune":440,"center":69,"range":1200,"cents":[0,46.05200605566653,90.22499567306306,113.68500605771193,158.74671953911513,203.91000173077484,249.07328392243446,294.13499740383764,317.5950077884867,362.65672126988983,384.35999307690076,407.8200034615497,452.8817169429528,498.04499913461245,543.2082813262722,588.2699948076753,611.7300051923246,656.7917186737278,701.9550008653874,747.1182830570472,792.1799965384502,815.6400069230993,860.7017204045023,905.8650025961623,950.9267160775655,996.0899982692251,1041.253280460885,1086.314993942288,1109.775004326937,1154.8367178083402]},"t-side":{"description":"Tau-on-Side","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.67242686428234,111.73128526977776,203.91000173077484,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,772.6274277296696,813.6862861351652,884.3587129994474,1088.2687147302222]},"t-side2":{"description":"Tau-on-Side opposite","size":12,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,274.582428595057,315.64128700055255,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,884.3587129994474,976.5374294604446,1017.5962878659401,1088.2687147302222]},"tagawa_55":{"description":"Rick Tagawa, 17-limit diamond subset with good 72-tET approximation (2003)","size":55,"tune":440,"center":69,"range":1200,"cents":[0,98.95459223036757,104.95540950040728,111.73128526977776,119.44280826109726,128.29824469981426,138.57266090392307,150.6370585006306,165.00422849992202,182.40371213406007,203.91000173077484,216.686694770185,231.17409353087498,247.7410529609115,266.87090560373764,281.35830436442757,289.209719404554,315.64128700055255,347.40794063398204,386.3137138648348,417.50796410436817,435.0840952616501,498.04499913461245,536.9507723654654,551.3179423647567,563.3823399614643,582.51219260429,596.9995913649802,603.00040863502,617.4878073957099,636.6176600385357,648.6820576352434,663.0492276345343,701.9550008653874,764.9159047383502,782.4920358956317,813.6862861351652,852.5920593660182,884.3587129994474,910.7902805954461,918.6416956355724,933.1290943962623,952.2589470390885,968.8259064691249,983.313305229815,996.0899982692251,1017.5962878659401,1034.995771500078,1049.3629414993693,1061.427339096077,1071.7017553001858,1080.5571917389027,1088.2687147302222,1095.044590499593,1101.0454077696324]},"tamil":{"description":"Possible Tamil sruti scale. 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Harrison's comma                            ","size":31,"tune":440,"center":69,"range":1200,"cents":[0,40.76922,78.17813,115.58705,156.35627,193.76518,231.17409353087498,271.94332,309.35223,350.12145,387.53036,424.93927,465.7085,503.11741,543.88663,581.29554,618.70446,659.47368,696.88259,737.6518129382499,775.06073,812.46964,853.23886,890.64777,928.05668,968.8259064691249,1006.23482,1047.00404,1084.41295,1121.82187,1162.59109]},"temp31h11":{"description":"Cycle of 31 fifths tempered by 1/11 Harrison's comma                            ","size":31,"tune":440,"center":69,"range":1200,"cents":[0,49.53066,81.40603,113.28141,162.81206,194.68744,226.56281,276.09347,307.96884,357.4995,389.37488,421.25025,470.7809073345124,502.65628,552.18694,584.06231,615.93769,665.46835,697.34372,746.87438,778.74975,810.62512,860.15578,892.03116,923.90653,973.43719,1005.31256,1054.84322,1086.71859,1118.59397,1168.12463]},"temp31h8":{"description":"Cycle of 31 fifths tempered by 1/8 Harrison's comma            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equal beating 6/5's in a twelfth                                     ","size":6,"tune":440,"center":69,"range":1901.9550008653873,"cents":[0,317.67644244127706,635.0118666653267,952.0636693840321,1268.8795089148666,1585.4989813350958]},"temp7-5ebf":{"description":"7 equal beating fifths on white, 5 equal beating fifths on black                ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,70.71353,168.05147838745833,313.3819,339.45150291230385,513.9421567705008,551.0301,680.5291357235443,796.02752,850.5738423212341,1023.8149541327574,1035.65861]},"temp7ebf":{"description":"Cycle of 7 equal beating fifths                                                 ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,168.05147838745833,339.45150291230385,513.9421567705008,680.5291357235443,850.5738423212341,1023.8149541327574]},"temp7ebnt":{"description":"Cycle of 7 equal beating 11/9 neutral thirds                                    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","size":12,"tune":440,"center":69,"range":1200,"cents":[0,111.73128526977776,182.40371213406007,182.40371213406007,386.3137138648348,498.04499913461245,609.7762844043904,701.9550008653874,813.6862861351652,884.3587129994474,884.3587129994474,968.8259064691249]},"tetragam-enh":{"description":"Tetragam Enharm.                                                                ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,111.73128526977776,111.73128526977776,386.3137138648348,498.04499913461245,582.51219260429,701.9550008653874,764.9159047383502,813.6862861351652,813.6862861351652,968.8259064691249]},"tetragam-hex":{"description":"Tetragam/Hexgam                                                                 ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,203.91000173077484,266.87090560373764,386.3137138648348,470.7809073345124,653.1846194685722,701.9550008653874,764.9159047383502,884.3587129994474,968.8259064691249,1088.2687147302222]},"tetragam-py":{"description":"Tetragam Pyth.                                                                  ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,90.22499567306306,203.91000173077484,203.91000173077484,407.8200034615497,498.04499913461245,611.7300051923246,701.9550008653874,792.1799965384502,905.8650025961623,905.8650025961623,996.0899982692251]},"tetragam-slpe":{"description":"Tetragam Slendro as 5-tET, Pelog-like pitches on C# E F# A B                    ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,0,111.73128526977776,240,240,480,498.04499913461245,701.9550008653874,720,813.6862861351652,960,960]},"tetragam-slpe2":{"description":"Tetragam Slendro as 5-tET, Pelog-like pitches on C# E F# A B                    ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,0,156,240,240,312,480,678,720,720,834,960]},"tetragam-sp":{"description":"Tetragam Septimal                                                               ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,62.960903872962575,62.960903872962575,62.960903872962575,435.0840952616501,498.04499913461245,582.51219260429,701.9550008653874,764.9159047383502,764.9159047383502,764.9159047383502,968.8259064691249]},"tetragam-un":{"description":"Tetragam Undecimal                                                              ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,150.6370585006306,150.6370585006306,347.40794063398204,498.04499913461245,551.3179423647567,701.9550008653874,755.2279440955316,852.5920593660182,852.5920593660182,1049.3629414993693]},"tetragam13":{"description":"Tetragam (13-tET)                                                               ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,92.308,276.923,276.923,461.538,461.538,738.462,738.462,923.077,923.077,923.077,1107.692]},"tetragam5":{"description":"Tetragam (5-tET)                                                                ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,240,240,240,240,480,480,720,960,960,960,960]},"tetragam7":{"description":"Tetragam (7-tET)                                                                ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,171.429,171.429,171.429,342.857,514.286,514.286,685.714,857.143,857.143,857.143,1028.571]},"tetragam8":{"description":"Tetragam (8-tET)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,150,300,300,450,450,750,750,900,900,900,900]},"tetragam9a":{"description":"Tetragam (9-tET) A                                                              ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,133.333,266.667,266.667,400,533.333,800,800,933.333,933.333,933.333,1066.667]},"tetragam9b":{"description":"Tetragam (9-tET) B                                                              ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,133.333,133.333,133.333,266.667,266.667,666.667,666.667,800,800,800,933.333]},"tetraphonic_31":{"description":"31-tone Tetraphonic Cycle, conjunctive form on 5/4, 6/5, 7/6 and 8/7            ","size":31,"tune":440,"center":69,"range":1200,"cents":[0,34.975614791419815,70.67242686428234,107.12080571650476,144.35308046125408,182.40371213406007,221.3094853649131,261.1097220871522,301.84652039515726,343.56502218796913,386.3137138648348,422.7620927170575,459.99436746180675,498.04499913461245,536.9507723654654,576.7510090877048,617.4878073957099,659.2063091885218,701.9550008653874,737.6518129382499,774.1001917904724,811.3324665352219,849.3830982080276,888.2888714388805,928.0891081611196,968.8259064691249,1005.2742853213473,1042.5065600660967,1080.5571917389027,1119.4629649697556,1159.2632016919947]},"tetratriad":{"description":"4:5:6 Tetratriadic scale","size":9,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,386.3137138648348,498.04499913461245,590.2237155956096,701.9550008653874,884.3587129994474,905.8650025961623,1088.2687147302222]},"tetratriad1":{"description":"3:5:9 Tetratriadic scale","size":9,"tune":440,"center":69,"range":1200,"cents":[0,182.40371213406007,203.91000173077484,386.3137138648348,498.04499913461245,701.9550008653874,884.3587129994474,905.8650025961623,1088.2687147302222]},"tetratriad2":{"description":"3:5:7 Tetratriadic scale","size":9,"tune":440,"center":69,"range":1200,"cents":[0,218.1005242069225,266.87090560373764,533.741811207475,617.4878073957099,800.6127168112126,884.3587129994474,933.1290943962623,1151.229618603185]},"thailand":{"description":"Observed ranat tuning from Thailand, Helmholtz/Ellis p. 518, nr.85","size":7,"tune":440,"center":69,"range":1254,"cents":[0,129,277,508,726,771,1029]},"thailand2":{"description":"Observed ranat t'hong tuning, Helmholtz/Ellis p. 518","size":7,"tune":440,"center":69,"range":1207,"cents":[0,200,340,537,699,881,1043]},"thailand3":{"description":"Observed tak'hay tuning. 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the new Tonos-19                           ","size":15,"tune":440,"center":69,"range":2400,"cents":[0,128.29824469981426,266.87090560373764,417.50796410436817,671.3128903368223,764.9159047383502,968.8259064691249,1200,1262.9609038729627,1328.2982446998144,1466.8709056037378,1617.5079641043683,1871.3128903368222,1964.9159047383505,2168.825906469125]},"tonos21_pis":{"description":"Diatonic Perfect Immutable System in the new Tonos-21                           ","size":15,"tune":440,"center":69,"range":2400,"cents":[0,231.17409353087498,359.4723382306895,498.04499913461245,729.2190926654876,902.4869838676973,996.0899982692251,1200,1311.7312852697778,1431.174093530875,1559.4723382306893,1698.0449991346125,1929.2190926654878,2102.4869838676973,2196.0899982692254]},"tonos23_pis":{"description":"Diatonic Perfect Immutable System in the new Tonos-23                           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","size":19,"tune":440,"center":69,"range":1200,"cents":[0,34.975614791419815,155.13962033395975,196.19847873945548,231.17409353087498,351.3380990734152,386.3137138648348,427.3725722703304,462.34818706174997,582.51219260429,617.4878073957099,737.6518129382499,772.6274277296696,813.6862861351652,848.661900926585,968.8259064691249,1003.8015212605447,1044.8603796660404,1165.02438520858]},"triangs11":{"description":"The first 11 terms of the triangular number series, octave reduced","size":10,"tune":440,"center":69,"range":1200,"cents":[0,53.27294323014412,203.91000173077484,386.3137138648348,470.7809073345124,590.2237155956096,701.9550008653874,937.6316562295916,968.8259064691249,1088.2687147302222]},"triangs13":{"description":"The first 13 terms of the triangular number series, octave 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","size":7,"tune":440,"center":69,"range":1200,"cents":[0,289.209719404554,536.9507723654654,663.0492276345343,826.1604917700193,952.2589470390885,1073.9015447309312]},"tritriad13":{"description":"Tritriadic scale of the 10:13:15 triad                                          ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,454.2139479044758,498.04499913461245,701.9550008653874,952.2589470390885,1156.1689487698634]},"tritriad14":{"description":"Tritriadic scale of the 14:18:21 triad                                          ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,203.91000173077484,435.0840952616501,498.04499913461245,701.9550008653874,933.1290943962623,1137.0390961270373]},"tritriad18":{"description":"Tritriadic scale of the 18:22:27 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Tuner's Guide well temperament no. 1 (1840)                                 ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,95.75974,196.99752,299.66974,394.73984,500.26102,595.90158,698.99589,797.71474,896.31192,1001.62474,1095.51755]},"tuners2":{"description":"The Tuner's Guide well temperament no. 2 (1840)                                 ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,98.7726,199.37853,300.84967,399.25057,500.95184,599.56336,700.01439,798.89467,899.60413,1001.17376,1099.66483]},"tuners3":{"description":"The Tuner's Guide well temperament no. 3 (1840)                                 ","size":12,"tune":440,"center":69,"range":1200,"cents":[0,98.34687,199.85693,300.72629,398.70981,499.8658,598.11216,699.5243,800.30187,899.6464,1000.6384,1098.7344]},"turkish":{"description":"Turkish, 5-limit from Palmer on a Turkish music record, harmonic minor inverse  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Meister, 1991, p. 126","size":12,"tune":440,"center":69,"range":1200,"cents":[0,80.935,193.15686,288.27,386.3137138648348,498.04499913461245,580.935,696.57843,782.89,889.73529,994.135,1082.89214]},"veroli":{"description":"Claudio di Veroli's well temperament (1978)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,98.09,199.45,299.18,398.91,500.27,598.36,699.73,798.63,899.18,999.73,1098.63]},"veroli1":{"description":"Claudio di Veroli Bach temperament I (2009)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,96.09,196.09,300,394.135,501.955,594.135,698.045,798.045,896.09,1001.955,1094.135]},"veroli2":{"description":"Claudio di Veroli Bach temperament II (2009)","size":12,"tune":440,"center":69,"range":1200,"cents":[0,96.09,196.09,300,394.135,501.955,594.135,698.045,800,896.09,1001.955,1094.135]},"vertex_chrom":{"description":"A vertex tetrachord from Chapter 5, 66.7 + 266.7 + 166.7 cents","size":7,"tune":440,"center":69,"range":1200,"cents":[0,66.66667,333.33333,500,700,766.66667,933.33333]},"vertex_chrom2":{"description":"A vertex tetrachord from Chapter 5, 83.3 + 283.3 + 133.3 cents","size":7,"tune":440,"center":69,"range":1200,"cents":[0,83.33333,366.66667,500,700,783.33333,1066.66667]},"vertex_chrom3":{"description":"A vertex tetrachord from Chapter 5, 87.5 + 287.5 + 125 cents                    ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,87.5,375,500,700,787.5,1075]},"vertex_chrom4":{"description":"A vertex tetrachord from Chapter 5, 88.9 + 288.9 + 122.2 cents","size":7,"tune":440,"center":69,"range":1200,"cents":[0,88.88889,377.77778,500,700,788.88889,1077.77778]},"vertex_diat":{"description":"A vertex tetrachord from Chapter 5, 233.3 + 133.3 + 133.3 cents","size":7,"tune":440,"center":69,"range":1200,"cents":[0,233.33333,366.66667,500,700,933.33333,1066.6667]},"vertex_diat10":{"description":"A vertex tetrachord from Chapter 5, 212.5 + 162.5 + 125 cents                   ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,212.5,375,500,700,912.5,1075]},"vertex_diat11":{"description":"A vertex tetrachord from Chapter 5, 212.5 + 62.5 + 225 cents                    ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,212.5,275,500,700,912.5,975]},"vertex_diat12":{"description":"A vertex tetrachord from Chapter 5, 200 + 125 + 175 cents                       ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,200,325,500,700,900,1025]},"vertex_diat2":{"description":"A vertex tetrachord from Chapter 5, 233.3 + 166.7 + 100 cents","size":7,"tune":440,"center":69,"range":1200,"cents":[0,233.33333,400,500,700,933.33333,1100]},"vertex_diat4":{"description":"A vertex tetrachord from Chapter 5, 225 + 175 + 100 cents                       ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,225,400,500,700,925,1100]},"vertex_diat5":{"description":"A vertex tetrachord from Chapter 5, 87.5 + 237.5 + 175 cents                    ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,87.5,325,500,700,787.5,1025]},"vertex_diat7":{"description":"A vertex tetrachord from Chapter 5, 200 + 75 + 225 cents                        ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,200,275,500,700,900,975]},"vertex_diat8":{"description":"A vertex tetrachord from Chapter 5, 100 + 175 + 225 cents                       ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,100,275,500,700,800,975]},"vertex_diat9":{"description":"A vertex tetrachord from Chapter 5, 212.5 + 137.5 + 150 cents                   ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,212.5,350,500,700,912.5,1050]},"vertex_sdiat":{"description":"A vertex tetrachord from Chapter 5, 87.5 + 187.5 + 225 cents                    ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,87.5,275,500,700,787.5,975]},"vertex_sdiat2":{"description":"A vertex tetrachord from Chapter 5, 75 + 175 + 250 cents                        ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,75,250,500,700,775,950]},"vertex_sdiat3":{"description":"A vertex tetrachord from Chapter 5, 25 + 225 + 250 cents                        ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,25,250,500,700,725,950]},"vertex_sdiat4":{"description":"A vertex tetrachord from Chapter 5, 66.7 + 183.3 + 250 cents                    ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,66.667,250,500,700,766.667,950]},"vertex_sdiat5":{"description":"A vertex tetrachord from Chapter 5, 233.33 + 16.67 + 250 cents                  ","size":7,"tune":440,"center":69,"range":1200,"cents":[0,233.333,250,500,700,933.333,950]},"vicentino1":{"description":"Usual Archicembalo tuning, 31-tET plus D,E,G,A,B a 10th tone 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