$just-intonation:
	( "P1": 1
	, "m2": calc(17 / 16)
	, "M2": calc(9 / 8)
	, "m3": calc(19 / 16)
	, "M3": calc(5 / 4)
	, "P4": calc(4 / 3)
	, "A4": calc(17 / 12)
	, "d5": calc(17 / 12)
	, "P5": calc(3 / 2)
	, "m6": calc(19 / 12)
  , "M6": calc(5 / 3)
	, "m7": calc(16 / 9)
	, "M7": calc(15 / 8)
	, "P8": 2
  );

$equal-temperament:
	( "P1": 1
  , "m2": 1.0594630943592953
	, "M2": 1.122462048309373
	, "m3": 1.1892071150027212
	, "M3": 1.2599210498948734
	, "P4": 1.3348398541700346
	, "A4": 1.4142135623730954
	, "d5": 1.4142135623730954
	, "P5": 1.498307076876682
	, "m6": 1.5874010519682
	, "M6": 1.6817928305074297
	, "m7": 1.7817974362806794
	, "M7": 1.887748625363388
	, "P8": 2
  );

$ratio-list:
	( 1
	, calc(17 / 16)
	, calc(9 / 8)
	, calc(19 / 16)
	, calc(5 / 4)
	, calc(4 / 3)
	, calc(17 / 12)
	, calc(17 / 12)
	, calc(3 / 2)
	, calc(19 / 12)
  , calc(5 / 3)
	, calc(16 / 9)
	, calc(15 / 8)
	, 2
  );

$musical-tuning: $just-intonation; // just-intonation or equal-temperament

/*****************************
 * Abbreviations
 *****************************/

$golden_ratio: 1.61803398874989484;
$gr: $golden_ratio;

$P1: map-get($musical-tuning,"P1");
$m2: map-get($musical-tuning,"m2");
$M2: map-get($musical-tuning,"M2");
$m3: map-get($musical-tuning,"m3");
$M3: map-get($musical-tuning,"M3");
$P4: map-get($musical-tuning,"P4");
$A4: map-get($musical-tuning,"A4");
$d5: map-get($musical-tuning,"d5");
$P5: map-get($musical-tuning,"P5");
$m6: map-get($musical-tuning,"m6");
$M6: map-get($musical-tuning,"M6");
$m7: map-get($musical-tuning,"m7");
$M7: map-get($musical-tuning,"M7");
$P8: map-get($musical-tuning,"P8");

$perfect-unison: $P1;
$minor-second: $m2;
$major-second: $M2;
$minor-third: $m3;
$major-third: $M3;
$perfect-fourth: $P4;
$augmented-fourth: $A4;
$diminished-fifth: $d5;
$perfect-fifth: $P5;
$minor-sixth: $m6;
$major-sixth: $M6;
$minor-seventh: $m7;
$major-seventh: $M7;
$perfect-octave: $P8;

:root {
	--ratio-perfect-unison: #{$perfect-unison};
	--ratio-minor-second: #{$minor-second};
	--ratio-major-second: #{$major-second};
	--ratio-minor-third: #{$minor-third};
	--ratio-major-third: #{$major-third};
	--ratio-perfect-fourth: #{$perfect-fourth};
	--ratio-augmented-fourth: #{$augmented-fourth};
	--ratio-diminished-fifth: #{$diminished-fifth};
	--ratio-perfect-fifth: #{$perfect-fifth};
	--ratio-minor-sixth: #{$minor-sixth};
	--ratio-major-sixth: #{$major-sixth};
	--ratio-minor-seventh: #{$minor-seventh};
	--ratio-major-seventh: #{$major-seventh};
	--ratio-perfect-octave: #{$perfect-octave};
  --ratio-golden: #{$golden-ratio};
}

/*******************************
 * Modes
 *******************************/

$ionic: $P1 $M2 $M3 $P4 $P5 $M6 $M7 $P8;
$dorian: $P1 $M2 $m3 $P4 $P5 $M6 $m7 $P8;
$phrygian: $P1 $m2 $m3 $P4 $P5 $m6 $m7 $P8;
$lydian: $P1 $M2 $M3 $A4 $P5 $M6 $M7 $P8;
$mixolydian: $P1 $M2 $M3 $P4 $P5 $M6 $m7 $P8;
$aeolian: $P1 $M2 $m3 $P4 $P5 $m6 $m7 $P8;
$locrian: $P1 $m2 $m3 $P4 $d5 $m6 $m7 $P8;

/*
@function get-scale( $octaves: 3, $mode: $ionic, $scale-number-of-points: 6){
  $all-scale-points: ();
	@for $i from 1 through $octaves {
	  @for $j from 1 through length($mode) {
      $all-scale-points: join($all-scale-points, nth($mode,$j) * $j);
    }
  }
  @return $all-scale-points;
}
*/