Sum of van Prooijen's expressibility: 16.53393, average 1.27184 Mersenne's string divisions : too high to compute Sum of Mann's harmonic distance : 348.0, average 26.76923 Limited inverse transpositions with margin 21.1808 cents: Limited transpositions with margin 21.1808 cents: Number of recognisable fifths : 2, average 715.7498 centsįormal octave complements present : 13 = 100.0000%Ģ/1 octave complements present : 0 = 0.0000% Number of different interval sizes : 38 = 3.16667 / class Scale is a Constant Structure, by a margin of 112.05673 cents Interval pattern size order : MLSMLMSMLMSLM Most common interval of one step : 49/45, 147.4281 cents, amount: 6 Median interval of one step : 49/45, 147.4281 cents, amount: 6
Smallest interval : 27/25, 133.2376 cents, class 1Īverage step (divided formal octave): 146.3042 cents OK, here's some of the maths revealed in Scala on one of the 5374 tuning files included with my VSTs (Bohlen-Pierce with two tones altered by minor BP diesis, slightly more equal):Ģ: 25/21 301.846520 BP second, quasi-equal minor thirdģ: 9/7 435.084095 septimal major third, BP thirdĤ: 7/5 582.512193 septimal or Huygens' tritone, BP fourthħ: 9/5 1017.596288 just minor seventh, BP seventhĩ: 15/7 1319.442808 septimal minor ninth, BP ninthġ0: 7/3 1466.870906 minimal tenth, BP tenthġ1: 63/25 1600.108480 quasi-equal major tenth, BP eleventh And before editing this article, please read the page at this link.)Īrticle by Michael W.