Scala analysis: xen07-walker-fathomless
Scale for '...out of the fathomless Dark / into the limitless Light...'
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 16/15 111.731285 minor diatonic semitone 2: 10/9 182.403712 minor whole tone 3: 9/8 203.910002 major whole tone 4: 8/7 231.174094 septimal whole tone 5: 7/6 266.870906 septimal minor third 6: 32/27 294.134997 Pythagorean minor third 7: 6/5 315.641287 minor third 8: 5/4 386.313714 major third 9: 9/7 435.084095 septimal major third, BP third 10: 4/3 498.044999 perfect fourth 11: 3/2 701.955001 perfect fifth 12: 14/9 764.915905 septimal minor sixth 13: 8/5 813.686286 minor sixth 14: 5/3 884.358713 major sixth, BP sixth 15: 27/16 905.865003 Pythagorean major sixth 16: 12/7 933.129094 septimal major sixth 17: 7/4 968.825906 harmonic seventh 18: 16/9 996.089998 Pythagorean minor seventh 19: 9/5 1017.596288 just minor seventh, BP seventh 20: 15/8 1088.268715 classic major seventh 21: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 16/15 111.7313 minor diatonic semitone 1: 16/15 111.7313 minor diatonic semitone 2: 25/24 70.6724 classic chromatic semitone, minor chroma 3: 81/80 21.5063 syntonic comma, Didymus comma 4: 64/63 27.2641 septimal comma, Archytas' comma 5: 49/48 35.6968 slendro diesis, septimal 1/6-tone 6: 64/63 27.2641 septimal comma, Archytas' comma 7: 81/80 21.5063 syntonic comma, Didymus comma 8: 25/24 70.6724 classic chromatic semitone, minor chroma 9: 36/35 48.7704 septimal diesis, 1/4-tone 10: 28/27 62.9609 Archytas' 1/3-tone 11: 9/8 203.9100 major whole tone 12: 28/27 62.9609 Archytas' 1/3-tone 13: 36/35 48.7704 septimal diesis, 1/4-tone 14: 25/24 70.6724 classic chromatic semitone, minor chroma 15: 81/80 21.5063 syntonic comma, Didymus comma 16: 64/63 27.2641 septimal comma, Archytas' comma 17: 49/48 35.6968 slendro diesis, septimal 1/6-tone 18: 64/63 27.2641 septimal comma, Archytas' comma 19: 81/80 21.5063 syntonic comma, Didymus comma 20: 25/24 70.6724 classic chromatic semitone, minor chroma 21: 16/15 111.7313 minor diatonic semitone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 81/80 21.506 cents syntonic comma, Didymus comma 1: 4 64/63 27.264 cents septimal comma, Archytas' comma 1: 2 49/48 35.697 cents slendro diesis, septimal 1/6-tone 1: 2 36/35 48.770 cents septimal diesis, 1/4-tone 1: 2 28/27 62.961 cents Archytas' 1/3-tone 1: 4 25/24 70.672 cents classic chromatic semitone, minor chroma 1: 2 16/15 111.731 cents minor diatonic semitone 1: 1 9/8 203.910 cents major whole tone 2: 4 36/35 48.770 cents septimal diesis, 1/4-tone 2: 4 28/27 62.961 cents Archytas' 1/3-tone 2: 4 135/128 92.179 cents major chroma, major limma 2: 2 16/15 111.731 cents minor diatonic semitone 2: 2 15/14 119.443 cents major diatonic semitone 2: 2 10/9 182.404 cents minor whole tone 2: 1 256/225 223.463 cents Neapolitan diminished third 2: 2 7/6 266.871 cents septimal minor third 3: 4 21/20 84.467 cents minor semitone 3: 2 256/243 90.225 cents limma, Pythagorean minor second 3: 4 15/14 119.443 cents major diatonic semitone 3: 2 243/224 140.949 cents Archytas' 2/3-tone 3: 2 10/9 182.404 cents minor whole tone 3: 2 9/8 203.910 cents major whole tone 3: 2 32/27 294.135 cents Pythagorean minor third 3: 2 6/5 315.641 cents minor third 3: 1 98/81 329.832 cents 4: 4 16/15 111.731 cents minor diatonic semitone 4: 4 35/32 155.140 cents septimal neutral second 4: 2 54/49 168.213 cents Zalzal's mujannab 4: 2 9/8 203.910 cents major whole tone 4: 2 8/7 231.174 cents septimal whole tone 4: 2 6/5 315.641 cents minor third 4: 1 100/81 364.807 cents grave major third 4: 2 56/45 378.602 cents septimal narrow major third 4: 2 5/4 386.314 cents major third 5: 2 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 5: 4 10/9 182.404 cents minor whole tone 5: 2 9/8 203.910 cents major whole tone 5: 2 8/7 231.174 cents septimal whole tone 5: 2 7/6 266.871 cents septimal minor third 5: 2 128/105 342.905 cents septimal neutral third 5: 2 5/4 386.314 cents major third 5: 2 81/64 407.820 cents Pythagorean major third 5: 1 32/25 427.373 cents classic diminished fourth 5: 2 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 6: 4 9/8 203.910 cents major whole tone 6: 2 8/7 231.174 cents septimal whole tone 6: 2 7/6 266.871 cents septimal minor third 6: 2 32/27 294.135 cents Pythagorean minor third 6: 2 56/45 378.602 cents septimal narrow major third 6: 1 81/64 407.820 cents Pythagorean major third 6: 2 80/63 413.578 cents wide major third 6: 2 9/7 435.084 cents septimal major third, BP third 6: 2 21/16 470.781 cents narrow fourth 6: 2 4/3 498.045 cents perfect fourth 7: 2 81/70 252.680 cents Al-Hwarizmi's lute middle finger 7: 2 75/64 274.582 cents classic augmented second 7: 2 32/27 294.135 cents Pythagorean minor third 7: 2 6/5 315.641 cents minor third 7: 2 512/405 405.866 cents narrow diminished fourth 7: 2 9/7 435.084 cents septimal major third, BP third 7: 2 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 7: 2 21/16 470.781 cents narrow fourth 7: 2 4/3 498.045 cents perfect fourth 7: 2 27/20 519.551 cents acute fourth 7: 1 25/18 568.717 cents classic augmented fourth 8: 2 6/5 315.641 cents minor third 8: 2 135/112 323.353 cents septimal wide minor third 8: 2 5/4 386.314 cents major third 8: 2 32/25 427.373 cents classic diminished fourth 8: 1 64/49 462.348 cents 2 septatones or septatonic major third 8: 2 21/16 470.781 cents narrow fourth 8: 2 320/243 476.539 cents grave fourth 8: 2 4/3 498.045 cents perfect fourth 8: 2 49/36 533.742 cents Arabic lute acute fourth 8: 2 48/35 546.815 cents septimal semi-augmented fourth 8: 2 45/32 590.224 cents diatonic tritone 9: 2 5/4 386.314 cents major third 9: 2 9/7 435.084 cents septimal major third, BP third 9: 8 4/3 498.045 cents perfect fourth 9: 2 27/20 519.551 cents acute fourth 9: 2 112/81 561.006 cents 9: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 9: 1 729/512 611.730 cents Pythagorean tritone 9: 2 10/7 617.488 cents Euler's tritone 10: 2 4/3 498.045 cents perfect fourth 10: 2 27/20 519.551 cents acute fourth 10: 2 256/189 525.309 cents 10: 1 49/36 533.742 cents Arabic lute acute fourth 10: 2 48/35 546.815 cents septimal semi-augmented fourth 10: 2 25/18 568.717 cents classic augmented fourth 10: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 10: 2 45/32 590.224 cents diatonic tritone 10: 2 64/45 609.776 cents 2nd tritone 10: 2 81/56 638.994 cents 10: 2 35/24 653.185 cents septimal semi-diminished fifth 11: 2 48/35 546.815 cents septimal semi-augmented fourth 11: 2 112/81 561.006 cents 11: 2 45/32 590.224 cents diatonic tritone 11: 2 64/45 609.776 cents 2nd tritone 11: 2 10/7 617.488 cents Euler's tritone 11: 2 36/25 631.283 cents classic diminished fifth 11: 2 35/24 653.185 cents septimal semi-diminished fifth 11: 1 72/49 666.258 cents Arabic lute grave fifth 11: 2 189/128 674.691 cents 11: 2 40/27 680.449 cents grave fifth 11: 2 3/2 701.955 cents perfect fifth 12: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 12: 1 1024/729 588.270 cents Pythagorean diminished fifth 12: 2 10/7 617.488 cents Euler's tritone 12: 2 81/56 638.994 cents 12: 2 40/27 680.449 cents grave fifth 12: 8 3/2 701.955 cents perfect fifth 12: 2 14/9 764.916 cents septimal minor sixth 12: 2 8/5 813.686 cents minor sixth 13: 2 64/45 609.776 cents 2nd tritone 13: 2 35/24 653.185 cents septimal semi-diminished fifth 13: 2 72/49 666.258 cents Arabic lute grave fifth 13: 2 3/2 701.955 cents perfect fifth 13: 2 243/160 723.461 cents acute fifth 13: 2 32/21 729.219 cents wide fifth 13: 1 49/32 737.652 cents 13: 2 25/16 772.627 cents classic augmented fifth 13: 2 8/5 813.686 cents minor sixth 13: 2 224/135 876.647 cents narrow septimal major sixth 13: 2 5/3 884.359 cents major sixth, BP sixth 14: 1 36/25 631.283 cents classic diminished fifth 14: 2 40/27 680.449 cents grave fifth 14: 2 3/2 701.955 cents perfect fifth 14: 2 32/21 729.219 cents wide fifth 14: 2 54/35 750.725 cents septimal semi-augmented fifth 14: 2 14/9 764.916 cents septimal minor sixth 14: 2 405/256 794.134 cents wide augmented fifth 14: 2 5/3 884.359 cents major sixth, BP sixth 14: 2 27/16 905.865 cents Pythagorean major sixth 14: 2 128/75 925.418 cents diminished seventh 14: 2 140/81 947.320 cents 15: 2 3/2 701.955 cents perfect fifth 15: 2 32/21 729.219 cents wide fifth 15: 2 14/9 764.916 cents septimal minor sixth 15: 2 63/40 786.422 cents narrow minor sixth 15: 1 128/81 792.180 cents Pythagorean minor sixth 15: 2 45/28 821.398 cents septimale wide minor sixth 15: 2 27/16 905.865 cents Pythagorean major sixth 15: 2 12/7 933.129 cents septimal major sixth 15: 2 7/4 968.826 cents harmonic seventh 15: 4 16/9 996.090 cents Pythagorean minor seventh 16: 2 54/35 750.725 cents septimal semi-augmented fifth 16: 1 25/16 772.627 cents classic augmented fifth 16: 2 128/81 792.180 cents Pythagorean minor sixth 16: 2 8/5 813.686 cents minor sixth 16: 2 105/64 857.095 cents septimal neutral sixth 16: 2 12/7 933.129 cents septimal major sixth 16: 2 7/4 968.826 cents harmonic seventh 16: 2 16/9 996.090 cents Pythagorean minor seventh 16: 4 9/5 1017.596 cents just minor seventh, BP seventh 16: 2 50/27 1066.762 cents grave major seventh 17: 2 8/5 813.686 cents minor sixth 17: 2 45/28 821.398 cents septimale wide minor sixth 17: 1 81/50 835.193 cents acute minor sixth 17: 2 5/3 884.359 cents major sixth, BP sixth 17: 2 7/4 968.826 cents harmonic seventh 17: 2 16/9 996.090 cents Pythagorean minor seventh 17: 2 49/27 1031.787 cents 17: 4 64/35 1044.860 cents septimal neutral seventh 17: 4 15/8 1088.269 cents classic major seventh 18: 1 81/49 870.168 cents two (septimal major third, BP third) 18: 2 5/3 884.359 cents major sixth, BP sixth 18: 2 27/16 905.865 cents Pythagorean major sixth 18: 2 16/9 996.090 cents Pythagorean minor seventh 18: 2 9/5 1017.596 cents just minor seventh, BP seventh 18: 2 448/243 1059.051 cents 18: 4 28/15 1080.557 cents grave major seventh 18: 2 243/128 1109.775 cents Pythagorean major seventh 18: 4 40/21 1115.533 cents acute major seventh 19: 2 12/7 933.129 cents septimal major sixth 19: 1 225/128 976.537 cents augmented sixth 19: 2 9/5 1017.596 cents just minor seventh, BP seventh 19: 2 28/15 1080.557 cents grave major seventh 19: 2 15/8 1088.269 cents classic major seventh 19: 4 256/135 1107.821 cents octave - major chroma 19: 4 27/14 1137.039 cents septimal major seventh 19: 4 35/18 1151.230 cents septimal semi-diminished octave 20: 1 16/9 996.090 cents Pythagorean minor seventh 20: 2 15/8 1088.269 cents classic major seventh 20: 4 48/25 1129.328 cents classic diminished octave 20: 2 27/14 1137.039 cents septimal major seventh 20: 2 35/18 1151.230 cents septimal semi-diminished octave 20: 2 96/49 1164.303 cents 20: 4 63/32 1172.736 cents octave - septimal comma 20: 4 160/81 1178.494 cents octave - syntonic comma Highest number of different intervals for one interval class: 11 Average number of different intervals per interval class: 9.50000 = 19/2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0.0 : 111.7 182.4 203.9 231.2 266.9 294.1 315.6 386.3 435.1 498.0 702.0 764.9 813.7 884.4 905.9 933.1 968.8 996.1 1017.6 1088.3 1200.0 111.7 : 70.7 92.2 119.4 155.1 182.4 203.9 274.6 323.4 386.3 590.2 653.2 702.0 772.6 794.1 821.4 857.1 884.4 905.9 976.5 1088.3 1200.0 182.4 : 21.5 48.8 84.5 111.7 133.2 203.9 252.7 315.6 519.6 582.5 631.3 702.0 723.5 750.7 786.4 813.7 835.2 905.9 1017.6 1129.3 1200.0 203.9 : 27.3 63.0 90.2 111.7 182.4 231.2 294.1 498.0 561.0 609.8 680.4 702.0 729.2 764.9 792.2 813.7 884.4 996.1 1107.8 1178.5 1200.0 231.2 : 35.7 63.0 84.5 155.1 203.9 266.9 470.8 533.7 582.5 653.2 674.7 702.0 737.7 764.9 786.4 857.1 968.8 1080.6 1151.2 1172.7 1200.0 266.9 : 27.3 48.8 119.4 168.2 231.2 435.1 498.0 546.8 617.5 639.0 666.3 702.0 729.2 750.7 821.4 933.1 1044.9 1115.5 1137.0 1164.3 1200.0 294.1 : 21.5 92.2 140.9 203.9 407.8 470.8 519.6 590.2 611.7 639.0 674.7 702.0 723.5 794.1 905.9 1017.6 1088.3 1109.8 1137.0 1172.7 1200.0 315.6 : 70.7 119.4 182.4 386.3 449.3 498.0 568.7 590.2 617.5 653.2 680.4 702.0 772.6 884.4 996.1 1066.8 1088.3 1115.5 1151.2 1178.5 1200.0 386.3 : 48.8 111.7 315.6 378.6 427.4 498.0 519.6 546.8 582.5 609.8 631.3 702.0 813.7 925.4 996.1 1017.6 1044.9 1080.6 1107.8 1129.3 1200.0 435.1 : 63.0 266.9 329.8 378.6 449.3 470.8 498.0 533.7 561.0 582.5 653.2 764.9 876.6 947.3 968.8 996.1 1031.8 1059.1 1080.6 1151.2 1200.0 498.0 : 203.9 266.9 315.6 386.3 407.8 435.1 470.8 498.0 519.6 590.2 702.0 813.7 884.4 905.9 933.1 968.8 996.1 1017.6 1088.3 1137.0 1200.0 702.0 : 63.0 111.7 182.4 203.9 231.2 266.9 294.1 315.6 386.3 498.0 609.8 680.4 702.0 729.2 764.9 792.2 813.7 884.4 933.1 996.1 1200.0 764.9 : 48.8 119.4 140.9 168.2 203.9 231.2 252.7 323.4 435.1 546.8 617.5 639.0 666.3 702.0 729.2 750.7 821.4 870.2 933.1 1137.0 1200.0 813.7 : 70.7 92.2 119.4 155.1 182.4 203.9 274.6 386.3 498.0 568.7 590.2 617.5 653.2 680.4 702.0 772.6 821.4 884.4 1088.3 1151.2 1200.0 884.4 : 21.5 48.8 84.5 111.7 133.2 203.9 315.6 427.4 498.0 519.6 546.8 582.5 609.8 631.3 702.0 750.7 813.7 1017.6 1080.6 1129.3 1200.0 905.9 : 27.3 63.0 90.2 111.7 182.4 294.1 405.9 476.5 498.0 525.3 561.0 588.3 609.8 680.4 729.2 792.2 996.1 1059.1 1107.8 1178.5 1200.0 933.1 : 35.7 63.0 84.5 155.1 266.9 378.6 449.3 470.8 498.0 533.7 561.0 582.5 653.2 702.0 764.9 968.8 1031.8 1080.6 1151.2 1172.7 1200.0 968.8 : 27.3 48.8 119.4 231.2 342.9 413.6 435.1 462.3 498.0 525.3 546.8 617.5 666.3 729.2 933.1 996.1 1044.9 1115.5 1137.0 1164.3 1200.0 996.1 : 21.5 92.2 203.9 315.6 386.3 407.8 435.1 470.8 498.0 519.6 590.2 639.0 702.0 905.9 968.8 1017.6 1088.3 1109.8 1137.0 1172.7 1200.0 1017.6: 70.7 182.4 294.1 364.8 386.3 413.6 449.3 476.5 498.0 568.7 617.5 680.4 884.4 947.3 996.1 1066.8 1088.3 1115.5 1151.2 1178.5 1200.0 1088.3: 111.7 223.5 294.1 315.6 342.9 378.6 405.9 427.4 498.0 546.8 609.8 813.7 876.6 925.4 996.1 1017.6 1044.9 1080.6 1107.8 1129.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 21.5063 .. 203.9100 cents 10/9, 182.4037 cents 81/80, 21.5063 cents 2: 48.7704 .. 266.8709 cents 245/216, 218.1005 cents 32/35,-155.1396 cents 3: 84.4672 .. 329.8318 cents 280/243, 245.3646 cents 9/10,-182.4037 cents 4: 111.7313 .. 386.3137 cents 75/64, 274.5824 cents 216/245,-218.1005 cents 5: 133.2376 .. 449.2746 cents 875/729, 316.0370 cents 108/125,-253.0761 cents 6: 203.9100 .. 498.0450 cents 32/27, 294.1350 cents 243/280,-245.3646 cents 7: 252.6804 .. 568.7174 cents 875/729, 316.0370 cents 243/280,-245.3646 cents 8: 315.6413 .. 590.2237 cents 75/64, 274.5824 cents 108/125,-253.0761 cents 9: 386.3137 .. 617.4878 cents 8/7, 231.1741 cents 8/9,-203.9100 cents 10: 498.0450 .. 653.1846 cents 35/32, 155.1396 cents 14/15,-119.4428 cents 11: 546.8154 .. 701.9550 cents 35/32, 155.1396 cents 1152/1225,-106.3692 cents 12: 582.5122 .. 813.6863 cents 8/7, 231.1741 cents 14/15,-119.4428 cents 13: 609.7763 .. 884.3587 cents 75/64, 274.5824 cents 8/9,-203.9100 cents 14: 631.2826 .. 947.3196 cents 875/729, 316.0370 cents 108/125,-253.0761 cents 15: 701.9550 .. 996.0900 cents 32/27, 294.1350 cents 243/280,-245.3646 cents 16: 750.7254 .. 1066.7624 cents 875/729, 316.0370 cents 243/280,-245.3646 cents 17: 813.6863 .. 1088.2687 cents 75/64, 274.5824 cents 108/125,-253.0761 cents 18: 870.1682 .. 1115.5328 cents 280/243, 245.3646 cents 216/245,-218.1005 cents 19: 933.1291 .. 1151.2296 cents 245/216, 218.1005 cents 9/10,-182.4037 cents 20: 996.0900 .. 1178.4937 cents 10/9, 182.4037 cents 32/35,-155.1396 cents
SHOW DATA
Number of notes : 21 -- Interval properties -- Smallest interval : 81/80, 21.5063 cents, class 1 Average step (divided formal octave): 57.1429 cents Largest one step interval : 9/8, 203.9100 cents Average / Smallest step : 2.657030 Largest / Average step : 3.568425 Largest / Smallest step : 9.481412 Median interval of one step : 36/35, 48.7704 cents, amount: 2 Least squares average step : 56.89676 cents, oct.: 1194.83200 cents Scale is not proper Step pattern alph. order: ABCDEDCBFGHGFBCDEDCBA Step pattern size order : GFABCBAFDEHEDFABCBAFG Scale is not a Constant Structure Scale diversity : 1.439667 Lumma stability : 0.035844 Lumma impropriety factor : 0.918716 Number of different interval sizes : 98 = 4.90000 / class Number of one step interval sizes : 8 Highest interval variety : 11 Mean interval variety : 9.50000 = 19/2 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 32805/32768, 1.9537 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 16 Most common triad is 0.0 498.045 701.955 cents, amount: 11 Number of recognisable fifths : 16, average 701.9550 cents Scale contains a complete diamond : 1 3 5 9 15 All steps are superparticular (epimoric) Length of longest harmonic part : 1 at degree 0 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 21 = 100.0000% Scale is differentially coherent in interval class 1 Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 10-11 -- Rational properties -- Prime limit : 7 Odd number limit : 729 (O: 729 U: 729) Highest odd numerator or denominator: 27 Scale harmonicity : 0.017132 Average absolute harmonicity : 0.145335 Specific harmonicity : 0.125894 Fundamental : 1/15120, -13.8842 octaves, 0.0173 Hz. Guide tone : 30240, 14.8842 octaves, 7911557.095 Hz. Exponens Consonantiae : 4.572288E+08, 28.76834 octaves Euler's gradus suavitatis : 42 Sum of Mann's harmonic distance : 192.0, average 9.14286 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 18.07088, average 0.86052 Sum of Tenney's harmonic distance : 36.01179, average 1.71485 Vogel's harmonic complexity : 25.52381 Wille's k value : 12757 Wilson's harmonic complexity : 42 Rectangular lattice diameter : 10 Triangular lattice diameter : 6 Lattice compactness : 882.56424, average 3.82062 Lattice compactness (without 2's) : 515.39326, average 2.23114 Number of different primes : 4 Prime exponents' range, average, count, tones@limit: 2: -4 .. 5 0.52381 43 1 3: -3 .. 3 0.00000 26 6 5: -1 .. 1 0.00000 8 8 7: -1 .. 1 0.00000 6 6 Average exponent except 2's : 0 / 21 = 0.00000 Average absolute exponent except 2's: 40 / 21 = 1.90476 Scale is weakly epimorphic with val: <21 30 46 61| Scale is weakly epimorphic with val: <21 30 46 62| Scale is weakly epimorphic with val: <21 30 47 61| Scale is weakly epimorphic with val: <21 30 47 62| Scale is weakly epimorphic with val: <21 30 49 59| Scale is weakly epimorphic with val: <21 30 50 58| Scale is weakly epimorphic with val: <21 30 52 56| Scale is weakly epimorphic with val: <21 31 46 60| Scale is weakly epimorphic with val: <21 31 48 60| Scale is weakly epimorphic with val: <21 32 50 59| Scale is weakly epimorphic with val: <21 33 46 56| Scale is weakly epimorphic with val: <21 33 50 56| Scale is weakly epimorphic with val: <21 33 52 58|
FIT/MODE
21: 2 1 1 0 1 0 1 1 1 1 3 1 1 1 1 0 1 0 1 1 2 N I SD: 16.4644 c. M: 27.2159 c. 22: 2 1 1 0 1 0 1 1 1 1 4 1 1 1 1 0 1 0 1 1 2 N I SD: 11.6795 c. M:-21.4077 c. 24: 2 2 0 1 0 1 0 2 1 1 4 1 1 2 0 1 0 1 0 2 2 N I SD: 13.0721 c. M:-18.8259 c. 27: 3 1 1 0 1 1 0 2 1 1 5 1 1 2 0 1 1 0 1 1 3 N I SD: 12.2320 c. M:-21.6020 c. 28: 3 1 1 0 1 1 0 2 1 2 4 2 1 2 0 1 1 0 1 1 3 N I SD: 11.8608 c. M:-16.8884 c. 30: 3 2 0 1 1 0 1 2 1 1 6 1 1 2 1 0 1 1 0 2 3 N I SD: 11.5448 c. M:-18.0450 c. 31: 3 2 0 1 1 1 0 2 1 2 5 2 1 2 0 1 1 1 0 2 3 N I SD: 7.9254 c. M:-15.5424 c. 33: 3 2 1 0 1 1 1 2 1 2 5 2 1 2 1 1 1 0 1 2 3 N I SD: 9.7021 c. M:-14.2718 c. 34: 3 2 1 1 1 0 1 2 1 2 6 2 1 2 1 0 1 1 1 2 3 N I SD: 9.3533 c. M:-15.8847 c. 36: 3 2 1 1 1 1 0 3 1 2 6 2 1 3 0 1 1 1 1 2 3 N I SD: 9.1471 c. M: 15.7370 c. 41: 4 2 1 1 1 1 1 2 2 2 7 2 2 2 1 1 1 1 1 2 4 N I SD: 4.2318 c. M: 6.7940 c. 53: 5 3 1 1 2 1 1 3 2 3 9 3 2 3 1 1 2 1 1 3 5 N I SD: 2.7177 c. M: 4.8954 c. 77: 7 5 1 2 2 2 1 5 3 4 13 4 3 5 1 2 2 2 1 5 7 N I SD: 2.6339 c. M: 4.6093 c. 94: 9 5 2 2 3 2 2 5 4 5 16 5 4 5 2 2 3 2 2 5 9 N I SD: 2.2226 c. M: 3.6803 c. 99: 9 6 2 2 3 2 2 6 4 5 17 5 4 6 2 2 3 2 2 6 9 N I SD: 1.6512 c. M:-3.2259 c. 118: 11 7 2 3 3 3 2 7 5 6 20 6 5 7 2 3 3 3 2 7 11 N I SD: 1.3767 c. M:-2.7242 c. 130: 12 8 2 3 4 3 2 8 5 7 22 7 5 8 2 3 4 3 2 8 12 N I SD: 1.2244 c. M: 2.2117 c. 171: 16 10 3 4 5 4 3 10 7 9 29 9 7 10 3 4 5 4 3 10 16 N I SD: 0.3405 c. M: 0.6018 c. 441: 41 26 8 10 13 10 8 26 18 23 75 23 18 26 8 10 13 10 8 26 41 N I SD: 0.1649 c. M: 0.2901 c. 612: 57 36 11 14 18 14 11 36 25 32 104 32 25 36 11 14 18 14 11 36 57 N I SD: 0.1125 c. M: 0.2100 c. 665: 62 39 12 15 20 15 12 39 27 35 113 35 27 39 12 15 20 15 12 39 62 N I SD: 0.1394 c. M: 0.1969 c. 783: 73 46 14 18 23 18 14 46 32 41 133 41 32 46 14 18 23 18 14 46 73 N I SD: 0.1338 c. M:-0.2435 c. 935: 87 55 17 21 28 21 17 55 38 49 159 49 38 55 17 21 28 21 17 55 87 N I SD: 0.1201 c. M:-0.2313 c. 1065: 99 63 19 24 32 24 19 63 43 56 181 56 43 63 19 24 32 24 19 63 99 N I SD: 0.1353 c. M:-0.1882 c. 1106: 103 65 20 25 33 25 20 65 45 58 188 58 45 65 20 25 33 25 20 65 103 N I SD: 0.0693 c. M: 0.1252 c. 1277: 119 75 23 29 38 29 23 75 52 67 217 67 52 75 23 29 38 29 23 75 119 N I SD: 0.0603 c. M: 0.1014 c. 1677: 156 99 30 38 50 38 30 99 68 88 285 88 68 99 30 38 50 38 30 99 156 N I SD: 0.0580 c. M:-0.1034 c. 1718: 160 101 31 39 51 39 31 101 70 90 292 90 70 101 31 39 51 39 31 101 160 N I SD: 0.0578 c. M: 0.0987 c. 1848: 172 109 33 42 55 42 33 109 75 97 314 97 75 109 33 42 55 42 33 109 172 N I SD: 0.0350 c. M: 0.0638 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.0000 cents 3 .. 6 match: 3 H SD: 0.0000 cents 4 .. 8 match: 4 H SD: 0.0000 cents 5 .. 10 match: 5 H SD: 16.8934 cents 6 .. 12 match: 6 H SD: 5.2944 cents 7 .. 14 match: 6 SD: 4.0256 cents 8 .. 16 match: 8 H SD: 7.4566 cents 9 .. 18 match: 8 S SD: 4.2800 cents 10 .. 20 match: 9 SD: 4.0942 cents 11 .. 22 match: 10 SD: 7.3748 cents 12 .. 24 match: 11 S SD: 5.3829 cents 13 .. 26 match: 10 SD: 5.9876 cents 14 .. 28 match: 12 SD: 4.3153 cents 15 .. 30 match: 12 SD: 3.3784 cents 16 .. 32 match: 13 S SD: 3.1940 cents 17 .. 34 match: 14 SD: 4.4300 cents 18 .. 36 match: 14 S SD: 3.0501 cents 19 .. 38 match: 13 SD: 4.8096 cents 20 .. 40 match: 16 S SD: 3.4353 cents 21 .. 42 match: 16 S SD: 3.9007 cents 22 .. 44 match: 15 SD: 4.1673 cents 23 .. 46 match: 16 SD: 4.1222 cents 24 .. 48 match: 16 SD: 2.4988 cents 25 .. 50 match: 16 SD: 2.7510 cents 26 .. 52 match: 16 SD: 3.3040 cents 27 .. 54 match: 17 SD: 2.3907 cents 28 .. 56 match: 17 SD: 2.3778 cents 29 .. 58 match: 18 SD: 2.5259 cents 30 .. 60 match: 17 SD: 2.5302 cents 31 .. 62 match: 18 SD: 2.4368 cents 32 .. 64 match: 18 SD: 1.6801 cents 33 .. 66 match: 18 SD: 2.4536 cents 34 .. 68 match: 17 SD: 2.5200 cents 35 .. 70 match: 19 SD: 1.9141 cents 36 .. 72 match: 19 SD: 1.6594 cents 37 .. 74 match: 18 SD: 2.5345 cents 38 .. 76 match: 19 SD: 2.3081 cents 39 .. 78 match: 20 SD: 1.9943 cents 40 .. 80 match: 20 SD: 1.9235 cents 41 .. 82 match: 19 SD: 1.7270 cents 42 .. 84 match: 19 SD: 1.5770 cents 43 .. 86 match: 20 SD: 1.7928 cents 44 .. 88 match: 20 SD: 1.6963 cents 45 .. 90 match: 19 SD: 1.3146 cents 46 .. 92 match: 20 SD: 1.7965 cents 47 .. 94 match: 20 SD: 1.6788 cents 48 .. 96 match: 21 SD: 1.1946 cents 50 .. 100 match: 20 SD: 1.5531 cents 51 .. 102 match: 19 SD: 1.7904 cents 52 .. 104 match: 19 SD: 1.6624 cents 54 .. 108 match: 21 SD: 1.3580 cents 55 .. 110 match: 21 SD: 1.2029 cents 56 .. 112 match: 21 SD: 1.1796 cents 57 .. 114 match: 20 SD: 1.4071 cents 59 .. 118 match: 20 SD: 1.3186 cents 60 .. 120 match: 21 SD: 1.0883 cents 64 .. 128 match: 21 SD: 0.9681 cents 72 .. 144 match: 21 SD: 0.8975 cents 80 .. 160 match: 21 SD: 0.7813 cents 90 .. 180 match: 21 SD: 0.6379 cents 108 .. 216 match: 21 SD: 0.6207 cents 119 .. 238 match: 21 SD: 0.5083 cents 120 .. 240 match: 21 SD: 0.4273 cents 144 .. 288 match: 21 SD: 0.3972 cents 160 .. 320 match: 21 SD: 0.3922 cents 168 .. 336 match: 21 SD: 0.3394 cents 200 .. 400 match: 21 SD: 0.3292 cents 210 .. 420 match: 21 SD: 0.2879 cents 216 .. 432 match: 21 SD: 0.2485 cents 270 .. 540 match: 21 SD: 0.2196 cents 280 .. 560 match: 21 SD: 0.2065 cents 288 .. 576 match: 21 SD: 0.1772 cents 336 .. 672 match: 21 SD: 0.1645 cents 360 .. 720 match: 21 SD: 0.1309 cents 432 .. 864 match: 21 SD: 0.1277 cents 480 .. 960 match: 21 SD: 0.1001 cents 540 .. 1080 match: 21 SD: 0.0945 cents