Scala analysis: xen15-gilson-generalized-pythagorean-15-8-43
Generalized Pythagorean Scale, 15/8 stacked 43=39+4 times
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 24.599 cents 24.598871 2: 53.643 cents 53.643009 3: 82.687 cents 82.687147 4: 107.286 cents 107.286019 5: 136.330 cents 136.330157 6: 165.374 cents 165.374295 7: 194.418 cents 194.418433 8: 219.017 cents 219.017304 9: 248.061 cents 248.061442 10: 277.106 cents 277.105580 11: 306.150 cents 306.149718 12: 330.749 cents 330.748589 13: 359.793 cents 359.792727 14: 388.837 cents 388.836865 15: 170859375/134217728 417.881003 16: 442.480 cents 442.479874 17: 471.524 cents 471.524012 18: 500.568 cents 500.568150 19: 11390625/8388608 529.612288 20: 554.211 cents 554.211160 21: 583.255 cents 583.255298 22: 612.299 cents 612.299436 23: 759375/524288 641.343574 24: 665.942 cents 665.942445 25: 694.987 cents 694.986583 26: 724.031 cents 724.030721 27: 50625/32768 753.074859 28: 777.674 cents 777.673730 29: 806.718 cents 806.717868 30: 835.762 cents 835.762006 31: 3375/2048 864.806144 double augmented fifth 32: 889.405 cents 889.405016 33: 918.449 cents 918.449154 34: 947.493 cents 947.493291 35: 225/128 976.537429 augmented sixth 36: 1001.136 cents 1001.136301 37: 1030.180 cents 1030.180439 38: 1059.225 cents 1059.224577 39: 15/8 1088.268715 classic major seventh 40: 1112.868 cents 1112.867586 41: 1141.912 cents 1141.911724 42: 1170.956 cents 1170.955862 43: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 29.0441 cents 29.0441 1: 24.5989 cents 24.5989 2: 29.0441 cents 29.0441 3: 29.0441 cents 29.0441 4: 24.5989 cents 24.5989 5: 29.0441 cents 29.0441 6: 29.0441 cents 29.0441 7: 29.0441 cents 29.0441 8: 24.5989 cents 24.5989 9: 29.0441 cents 29.0441 10: 29.0441 cents 29.0441 11: 29.0441 cents 29.0441 12: 24.5989 cents 24.5989 13: 29.0441 cents 29.0441 14: 29.0441 cents 29.0441 15: 29.0441 cents 29.0441 16: 24.5989 cents 24.5989 17: 29.0441 cents 29.0441 18: 29.0441 cents 29.0441 19: 29.0441 cents 29.0441 20: 24.5989 cents 24.5989 21: 29.0441 cents 29.0441 22: 29.0441 cents 29.0441 23: 29.0441 cents 29.0441 24: 24.5989 cents 24.5989 25: 29.0441 cents 29.0441 26: 29.0441 cents 29.0441 27: 29.0441 cents 29.0441 28: 24.5989 cents 24.5989 29: 29.0441 cents 29.0441 30: 29.0441 cents 29.0441 31: 29.0441 cents 29.0441 32: 24.5989 cents 24.5989 33: 29.0441 cents 29.0441 34: 29.0441 cents 29.0441 35: 29.0441 cents 29.0441 36: 24.5989 cents 24.5989 37: 29.0441 cents 29.0441 38: 29.0441 cents 29.0441 39: 29.0441 cents 29.0441 40: 24.5989 cents 24.5989 41: 29.0441 cents 29.0441 42: 29.0441 cents 29.0441 43: 29.0441 cents 29.0441
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 11 24.59887 cents 1: 32 29.04414 cents 2: 22 53.64301 cents 2: 21 58.08828 cents 3: 33 82.68715 cents 3: 10 87.13241 cents 4: 1 107.28602 cents 4: 42 111.73129 cents 5: 12 136.33016 cents 5: 31 140.77542 cents 6: 23 165.37429 cents 6: 20 169.81956 cents 7: 34 194.41843 cents 7: 9 198.86370 cents 8: 2 219.01730 cents 8: 41 223.46257 cents 9: 13 248.06144 cents 9: 30 252.50671 cents 10: 24 277.10558 cents 10: 19 281.55085 cents 11: 35 306.14972 cents 11: 8 310.59498 cents 12: 3 330.74859 cents 12: 40 335.19386 cents 13: 14 359.79273 cents 13: 29 364.23799 cents 14: 25 388.83686 cents 14: 18 393.28213 cents 15: 36 170859375/134217728 417.881 cents 15: 7 422.32627 cents 16: 4 442.47987 cents 16: 39 446.92514 cents 17: 15 471.52401 cents 17: 28 475.96928 cents 18: 26 500.56815 cents 18: 17 505.01342 cents 19: 37 11390625/8388608 529.612 cents 19: 6 534.05755 cents 20: 5 554.21116 cents 20: 38 558.65643 cents 21: 16 583.25530 cents 21: 27 587.70057 cents 22: 27 612.29944 cents 22: 16 616.74470 cents 23: 38 759375/524288 641.344 cents 23: 5 645.78884 cents 24: 6 665.94245 cents 24: 37 670.38771 cents 25: 17 694.98658 cents 25: 26 699.43185 cents 26: 28 724.03072 cents 26: 15 728.47599 cents 27: 39 50625/32768 753.075 cents 27: 4 757.52013 cents 28: 7 777.67373 cents 28: 36 782.11900 cents 29: 18 806.71787 cents 29: 25 811.16313 cents 30: 29 835.76201 cents 30: 14 840.20727 cents 31: 40 3375/2048 864.806 cents double augmented fifth 31: 3 869.25141 cents 32: 8 889.40502 cents 32: 35 893.85028 cents 33: 19 918.44915 cents 33: 24 922.89442 cents 34: 30 947.49329 cents 34: 13 951.93856 cents 35: 41 225/128 976.537 cents augmented sixth 35: 2 980.98270 cents 36: 9 1001.13630 cents 36: 34 1005.58157 cents 37: 20 1030.18044 cents 37: 23 1034.62571 cents 38: 31 1059.22458 cents 38: 12 1063.66984 cents 39: 42 15/8 1088.269 cents classic major seventh 39: 1 1092.71398 cents 40: 10 1112.86759 cents 40: 33 1117.31285 cents 41: 21 1141.91172 cents 41: 22 1146.35699 cents 42: 32 1170.95586 cents 42: 11 1175.40113 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 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 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0.0 : 24.6 53.6 82.7 107.3 136.3 165.4 194.4 219.0 248.1 277.1 306.1 330.7 359.8 388.8 417.9 442.5 471.5 500.6 529.6 554.2 583.3 612.3 641.3 665.9 695.0 724.0 753.1 777.7 806.7 835.8 864.8 889.4 918.4 947.5 976.5 1001.1 1030.2 1059.2 1088.3 1112.9 1141.9 1171.0 1200.0 24.6 : 29.0 58.1 82.7 111.7 140.8 169.8 194.4 223.5 252.5 281.6 306.1 335.2 364.2 393.3 417.9 446.9 476.0 505.0 529.6 558.7 587.7 616.7 641.3 670.4 699.4 728.5 753.1 782.1 811.2 840.2 864.8 893.9 922.9 951.9 976.5 1005.6 1034.6 1063.7 1088.3 1117.3 1146.4 1175.4 1200.0 53.6 : 29.0 53.6 82.7 111.7 140.8 165.4 194.4 223.5 252.5 277.1 306.1 335.2 364.2 388.8 417.9 446.9 476.0 500.6 529.6 558.7 587.7 612.3 641.3 670.4 699.4 724.0 753.1 782.1 811.2 835.8 864.8 893.9 922.9 947.5 976.5 1005.6 1034.6 1059.2 1088.3 1117.3 1146.4 1171.0 1200.0 82.7 : 24.6 53.6 82.7 111.7 136.3 165.4 194.4 223.5 248.1 277.1 306.1 335.2 359.8 388.8 417.9 446.9 471.5 500.6 529.6 558.7 583.3 612.3 641.3 670.4 695.0 724.0 753.1 782.1 806.7 835.8 864.8 893.9 918.4 947.5 976.5 1005.6 1030.2 1059.2 1088.3 1117.3 1141.9 1171.0 1200.0 107.3 : 29.0 58.1 87.1 111.7 140.8 169.8 198.9 223.5 252.5 281.6 310.6 335.2 364.2 393.3 422.3 446.9 476.0 505.0 534.1 558.7 587.7 616.7 645.8 670.4 699.4 728.5 757.5 782.1 811.2 840.2 869.3 893.9 922.9 951.9 981.0 1005.6 1034.6 1063.7 1092.7 1117.3 1146.4 1175.4 1200.0 136.3 : 29.0 58.1 82.7 111.7 140.8 169.8 194.4 223.5 252.5 281.6 306.1 335.2 364.2 393.3 417.9 446.9 476.0 505.0 529.6 558.7 587.7 616.7 641.3 670.4 699.4 728.5 753.1 782.1 811.2 840.2 864.8 893.9 922.9 951.9 976.5 1005.6 1034.6 1063.7 1088.3 1117.3 1146.4 1171.0 1200.0 165.4 : 29.0 53.6 82.7 111.7 140.8 165.4 194.4 223.5 252.5 277.1 306.1 335.2 364.2 388.8 417.9 446.9 476.0 500.6 529.6 558.7 587.7 612.3 641.3 670.4 699.4 724.0 753.1 782.1 811.2 835.8 864.8 893.9 922.9 947.5 976.5 1005.6 1034.6 1059.2 1088.3 1117.3 1141.9 1171.0 1200.0 194.4 : 24.6 53.6 82.7 111.7 136.3 165.4 194.4 223.5 248.1 277.1 306.1 335.2 359.8 388.8 417.9 446.9 471.5 500.6 529.6 558.7 583.3 612.3 641.3 670.4 695.0 724.0 753.1 782.1 806.7 835.8 864.8 893.9 918.4 947.5 976.5 1005.6 1030.2 1059.2 1088.3 1112.9 1141.9 1171.0 1200.0 219.0 : 29.0 58.1 87.1 111.7 140.8 169.8 198.9 223.5 252.5 281.6 310.6 335.2 364.2 393.3 422.3 446.9 476.0 505.0 534.1 558.7 587.7 616.7 645.8 670.4 699.4 728.5 757.5 782.1 811.2 840.2 869.3 893.9 922.9 951.9 981.0 1005.6 1034.6 1063.7 1088.3 1117.3 1146.4 1175.4 1200.0 248.1 : 29.0 58.1 82.7 111.7 140.8 169.8 194.4 223.5 252.5 281.6 306.1 335.2 364.2 393.3 417.9 446.9 476.0 505.0 529.6 558.7 587.7 616.7 641.3 670.4 699.4 728.5 753.1 782.1 811.2 840.2 864.8 893.9 922.9 951.9 976.5 1005.6 1034.6 1059.2 1088.3 1117.3 1146.4 1171.0 1200.0 277.1 : 29.0 53.6 82.7 111.7 140.8 165.4 194.4 223.5 252.5 277.1 306.1 335.2 364.2 388.8 417.9 446.9 476.0 500.6 529.6 558.7 587.7 612.3 641.3 670.4 699.4 724.0 753.1 782.1 811.2 835.8 864.8 893.9 922.9 947.5 976.5 1005.6 1030.2 1059.2 1088.3 1117.3 1141.9 1171.0 1200.0 306.1 : 24.6 53.6 82.7 111.7 136.3 165.4 194.4 223.5 248.1 277.1 306.1 335.2 359.8 388.8 417.9 446.9 471.5 500.6 529.6 558.7 583.3 612.3 641.3 670.4 695.0 724.0 753.1 782.1 806.7 835.8 864.8 893.9 918.4 947.5 976.5 1001.1 1030.2 1059.2 1088.3 1112.9 1141.9 1171.0 1200.0 330.7 : 29.0 58.1 87.1 111.7 140.8 169.8 198.9 223.5 252.5 281.6 310.6 335.2 364.2 393.3 422.3 446.9 476.0 505.0 534.1 558.7 587.7 616.7 645.8 670.4 699.4 728.5 757.5 782.1 811.2 840.2 869.3 893.9 922.9 951.9 976.5 1005.6 1034.6 1063.7 1088.3 1117.3 1146.4 1175.4 1200.0 359.8 : 29.0 58.1 82.7 111.7 140.8 169.8 194.4 223.5 252.5 281.6 306.1 335.2 364.2 393.3 417.9 446.9 476.0 505.0 529.6 558.7 587.7 616.7 641.3 670.4 699.4 728.5 753.1 782.1 811.2 840.2 864.8 893.9 922.9 947.5 976.5 1005.6 1034.6 1059.2 1088.3 1117.3 1146.4 1171.0 1200.0 388.8 : 29.0 53.6 82.7 111.7 140.8 165.4 194.4 223.5 252.5 277.1 306.1 335.2 364.2 388.8 417.9 446.9 476.0 500.6 529.6 558.7 587.7 612.3 641.3 670.4 699.4 724.0 753.1 782.1 811.2 835.8 864.8 893.9 918.4 947.5 976.5 1005.6 1030.2 1059.2 1088.3 1117.3 1141.9 1171.0 1200.0 417.9 : 24.6 53.6 82.7 111.7 136.3 165.4 194.4 223.5 248.1 277.1 306.1 335.2 359.8 388.8 417.9 446.9 471.5 500.6 529.6 558.7 583.3 612.3 641.3 670.4 695.0 724.0 753.1 782.1 806.7 835.8 864.8 889.4 918.4 947.5 976.5 1001.1 1030.2 1059.2 1088.3 1112.9 1141.9 1171.0 1200.0 442.5 : 29.0 58.1 87.1 111.7 140.8 169.8 198.9 223.5 252.5 281.6 310.6 335.2 364.2 393.3 422.3 446.9 476.0 505.0 534.1 558.7 587.7 616.7 645.8 670.4 699.4 728.5 757.5 782.1 811.2 840.2 864.8 893.9 922.9 951.9 976.5 1005.6 1034.6 1063.7 1088.3 1117.3 1146.4 1175.4 1200.0 471.5 : 29.0 58.1 82.7 111.7 140.8 169.8 194.4 223.5 252.5 281.6 306.1 335.2 364.2 393.3 417.9 446.9 476.0 505.0 529.6 558.7 587.7 616.7 641.3 670.4 699.4 728.5 753.1 782.1 811.2 835.8 864.8 893.9 922.9 947.5 976.5 1005.6 1034.6 1059.2 1088.3 1117.3 1146.4 1171.0 1200.0 500.6 : 29.0 53.6 82.7 111.7 140.8 165.4 194.4 223.5 252.5 277.1 306.1 335.2 364.2 388.8 417.9 446.9 476.0 500.6 529.6 558.7 587.7 612.3 641.3 670.4 699.4 724.0 753.1 782.1 806.7 835.8 864.8 893.9 918.4 947.5 976.5 1005.6 1030.2 1059.2 1088.3 1117.3 1141.9 1171.0 1200.0 529.6 : 24.6 53.6 82.7 111.7 136.3 165.4 194.4 223.5 248.1 277.1 306.1 335.2 359.8 388.8 417.9 446.9 471.5 500.6 529.6 558.7 583.3 612.3 641.3 670.4 695.0 724.0 753.1 777.7 806.7 835.8 864.8 889.4 918.4 947.5 976.5 1001.1 1030.2 1059.2 1088.3 1112.9 1141.9 1171.0 1200.0 554.2 : 29.0 58.1 87.1 111.7 140.8 169.8 198.9 223.5 252.5 281.6 310.6 335.2 364.2 393.3 422.3 446.9 476.0 505.0 534.1 558.7 587.7 616.7 645.8 670.4 699.4 728.5 753.1 782.1 811.2 840.2 864.8 893.9 922.9 951.9 976.5 1005.6 1034.6 1063.7 1088.3 1117.3 1146.4 1175.4 1200.0 583.3 : 29.0 58.1 82.7 111.7 140.8 169.8 194.4 223.5 252.5 281.6 306.1 335.2 364.2 393.3 417.9 446.9 476.0 505.0 529.6 558.7 587.7 616.7 641.3 670.4 699.4 724.0 753.1 782.1 811.2 835.8 864.8 893.9 922.9 947.5 976.5 1005.6 1034.6 1059.2 1088.3 1117.3 1146.4 1171.0 1200.0 612.3 : 29.0 53.6 82.7 111.7 140.8 165.4 194.4 223.5 252.5 277.1 306.1 335.2 364.2 388.8 417.9 446.9 476.0 500.6 529.6 558.7 587.7 612.3 641.3 670.4 695.0 724.0 753.1 782.1 806.7 835.8 864.8 893.9 918.4 947.5 976.5 1005.6 1030.2 1059.2 1088.3 1117.3 1141.9 1171.0 1200.0 641.3 : 24.6 53.6 82.7 111.7 136.3 165.4 194.4 223.5 248.1 277.1 306.1 335.2 359.8 388.8 417.9 446.9 471.5 500.6 529.6 558.7 583.3 612.3 641.3 665.9 695.0 724.0 753.1 777.7 806.7 835.8 864.8 889.4 918.4 947.5 976.5 1001.1 1030.2 1059.2 1088.3 1112.9 1141.9 1171.0 1200.0 665.9 : 29.0 58.1 87.1 111.7 140.8 169.8 198.9 223.5 252.5 281.6 310.6 335.2 364.2 393.3 422.3 446.9 476.0 505.0 534.1 558.7 587.7 616.7 641.3 670.4 699.4 728.5 753.1 782.1 811.2 840.2 864.8 893.9 922.9 951.9 976.5 1005.6 1034.6 1063.7 1088.3 1117.3 1146.4 1175.4 1200.0 695.0 : 29.0 58.1 82.7 111.7 140.8 169.8 194.4 223.5 252.5 281.6 306.1 335.2 364.2 393.3 417.9 446.9 476.0 505.0 529.6 558.7 587.7 612.3 641.3 670.4 699.4 724.0 753.1 782.1 811.2 835.8 864.8 893.9 922.9 947.5 976.5 1005.6 1034.6 1059.2 1088.3 1117.3 1146.4 1171.0 1200.0 724.0 : 29.0 53.6 82.7 111.7 140.8 165.4 194.4 223.5 252.5 277.1 306.1 335.2 364.2 388.8 417.9 446.9 476.0 500.6 529.6 558.7 583.3 612.3 641.3 670.4 695.0 724.0 753.1 782.1 806.7 835.8 864.8 893.9 918.4 947.5 976.5 1005.6 1030.2 1059.2 1088.3 1117.3 1141.9 1171.0 1200.0 753.1 : 24.6 53.6 82.7 111.7 136.3 165.4 194.4 223.5 248.1 277.1 306.1 335.2 359.8 388.8 417.9 446.9 471.5 500.6 529.6 554.2 583.3 612.3 641.3 665.9 695.0 724.0 753.1 777.7 806.7 835.8 864.8 889.4 918.4 947.5 976.5 1001.1 1030.2 1059.2 1088.3 1112.9 1141.9 1171.0 1200.0 777.7 : 29.0 58.1 87.1 111.7 140.8 169.8 198.9 223.5 252.5 281.6 310.6 335.2 364.2 393.3 422.3 446.9 476.0 505.0 529.6 558.7 587.7 616.7 641.3 670.4 699.4 728.5 753.1 782.1 811.2 840.2 864.8 893.9 922.9 951.9 976.5 1005.6 1034.6 1063.7 1088.3 1117.3 1146.4 1175.4 1200.0 806.7 : 29.0 58.1 82.7 111.7 140.8 169.8 194.4 223.5 252.5 281.6 306.1 335.2 364.2 393.3 417.9 446.9 476.0 500.6 529.6 558.7 587.7 612.3 641.3 670.4 699.4 724.0 753.1 782.1 811.2 835.8 864.8 893.9 922.9 947.5 976.5 1005.6 1034.6 1059.2 1088.3 1117.3 1146.4 1171.0 1200.0 835.8 : 29.0 53.6 82.7 111.7 140.8 165.4 194.4 223.5 252.5 277.1 306.1 335.2 364.2 388.8 417.9 446.9 471.5 500.6 529.6 558.7 583.3 612.3 641.3 670.4 695.0 724.0 753.1 782.1 806.7 835.8 864.8 893.9 918.4 947.5 976.5 1005.6 1030.2 1059.2 1088.3 1117.3 1141.9 1171.0 1200.0 864.8 : 24.6 53.6 82.7 111.7 136.3 165.4 194.4 223.5 248.1 277.1 306.1 335.2 359.8 388.8 417.9 442.5 471.5 500.6 529.6 554.2 583.3 612.3 641.3 665.9 695.0 724.0 753.1 777.7 806.7 835.8 864.8 889.4 918.4 947.5 976.5 1001.1 1030.2 1059.2 1088.3 1112.9 1141.9 1171.0 1200.0 889.4 : 29.0 58.1 87.1 111.7 140.8 169.8 198.9 223.5 252.5 281.6 310.6 335.2 364.2 393.3 417.9 446.9 476.0 505.0 529.6 558.7 587.7 616.7 641.3 670.4 699.4 728.5 753.1 782.1 811.2 840.2 864.8 893.9 922.9 951.9 976.5 1005.6 1034.6 1063.7 1088.3 1117.3 1146.4 1175.4 1200.0 918.4 : 29.0 58.1 82.7 111.7 140.8 169.8 194.4 223.5 252.5 281.6 306.1 335.2 364.2 388.8 417.9 446.9 476.0 500.6 529.6 558.7 587.7 612.3 641.3 670.4 699.4 724.0 753.1 782.1 811.2 835.8 864.8 893.9 922.9 947.5 976.5 1005.6 1034.6 1059.2 1088.3 1117.3 1146.4 1171.0 1200.0 947.5 : 29.0 53.6 82.7 111.7 140.8 165.4 194.4 223.5 252.5 277.1 306.1 335.2 359.8 388.8 417.9 446.9 471.5 500.6 529.6 558.7 583.3 612.3 641.3 670.4 695.0 724.0 753.1 782.1 806.7 835.8 864.8 893.9 918.4 947.5 976.5 1005.6 1030.2 1059.2 1088.3 1117.3 1141.9 1171.0 1200.0 976.5 : 24.6 53.6 82.7 111.7 136.3 165.4 194.4 223.5 248.1 277.1 306.1 330.7 359.8 388.8 417.9 442.5 471.5 500.6 529.6 554.2 583.3 612.3 641.3 665.9 695.0 724.0 753.1 777.7 806.7 835.8 864.8 889.4 918.4 947.5 976.5 1001.1 1030.2 1059.2 1088.3 1112.9 1141.9 1171.0 1200.0 1001.1: 29.0 58.1 87.1 111.7 140.8 169.8 198.9 223.5 252.5 281.6 306.1 335.2 364.2 393.3 417.9 446.9 476.0 505.0 529.6 558.7 587.7 616.7 641.3 670.4 699.4 728.5 753.1 782.1 811.2 840.2 864.8 893.9 922.9 951.9 976.5 1005.6 1034.6 1063.7 1088.3 1117.3 1146.4 1175.4 1200.0 1030.2: 29.0 58.1 82.7 111.7 140.8 169.8 194.4 223.5 252.5 277.1 306.1 335.2 364.2 388.8 417.9 446.9 476.0 500.6 529.6 558.7 587.7 612.3 641.3 670.4 699.4 724.0 753.1 782.1 811.2 835.8 864.8 893.9 922.9 947.5 976.5 1005.6 1034.6 1059.2 1088.3 1117.3 1146.4 1171.0 1200.0 1059.2: 29.0 53.6 82.7 111.7 140.8 165.4 194.4 223.5 248.1 277.1 306.1 335.2 359.8 388.8 417.9 446.9 471.5 500.6 529.6 558.7 583.3 612.3 641.3 670.4 695.0 724.0 753.1 782.1 806.7 835.8 864.8 893.9 918.4 947.5 976.5 1005.6 1030.2 1059.2 1088.3 1117.3 1141.9 1171.0 1200.0 1088.3: 24.6 53.6 82.7 111.7 136.3 165.4 194.4 219.0 248.1 277.1 306.1 330.7 359.8 388.8 417.9 442.5 471.5 500.6 529.6 554.2 583.3 612.3 641.3 665.9 695.0 724.0 753.1 777.7 806.7 835.8 864.8 889.4 918.4 947.5 976.5 1001.1 1030.2 1059.2 1088.3 1112.9 1141.9 1171.0 1200.0 1112.9: 29.0 58.1 87.1 111.7 140.8 169.8 194.4 223.5 252.5 281.6 306.1 335.2 364.2 393.3 417.9 446.9 476.0 505.0 529.6 558.7 587.7 616.7 641.3 670.4 699.4 728.5 753.1 782.1 811.2 840.2 864.8 893.9 922.9 951.9 976.5 1005.6 1034.6 1063.7 1088.3 1117.3 1146.4 1175.4 1200.0 1141.9: 29.0 58.1 82.7 111.7 140.8 165.4 194.4 223.5 252.5 277.1 306.1 335.2 364.2 388.8 417.9 446.9 476.0 500.6 529.6 558.7 587.7 612.3 641.3 670.4 699.4 724.0 753.1 782.1 811.2 835.8 864.8 893.9 922.9 947.5 976.5 1005.6 1034.6 1059.2 1088.3 1117.3 1146.4 1171.0 1200.0 1171.0: 29.0 53.6 82.7 111.7 136.3 165.4 194.4 223.5 248.1 277.1 306.1 335.2 359.8 388.8 417.9 446.9 471.5 500.6 529.6 558.7 583.3 612.3 641.3 670.4 695.0 724.0 753.1 782.1 806.7 835.8 864.8 893.9 918.4 947.5 976.5 1005.6 1030.2 1059.2 1088.3 1117.3 1141.9 1171.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 24.5989 .. 29.0441 cents 4.44527 cents 24.59887 cents 2: 53.6430 .. 58.0883 cents 4.44527 cents 24.59887 cents 3: 82.6871 .. 87.1324 cents 4.44527 cents 24.59887 cents 4: 107.2860 .. 111.7313 cents 4.44527 cents 20.15361 cents 5: 136.3302 .. 140.7754 cents 4.44527 cents 24.59887 cents 6: 165.3743 .. 169.8196 cents 4.44527 cents 24.59887 cents 7: 194.4184 .. 198.8637 cents 4.44527 cents 24.59887 cents 8: 219.0173 .. 223.4626 cents 4.44527 cents 20.15361 cents 9: 248.0614 .. 252.5067 cents 4.44527 cents 24.59887 cents 10: 277.1056 .. 281.5508 cents 4.44527 cents 24.59887 cents 11: 306.1497 .. 310.5950 cents 4.44527 cents 24.59887 cents 12: 330.7486 .. 335.1939 cents 4.44527 cents 20.15360 cents 13: 359.7927 .. 364.2380 cents 4.44527 cents 24.59887 cents 14: 388.8369 .. 393.2821 cents 4.44527 cents 24.59887 cents 15: 417.8810 .. 422.3263 cents 4.44527 cents 24.59887 cents 16: 442.4799 .. 446.9251 cents 4.44527 cents 20.15360 cents 17: 471.5240 .. 475.9693 cents 4.44527 cents 24.59887 cents 18: 500.5681 .. 505.0134 cents 4.44527 cents 24.59887 cents 19: 529.6123 .. 534.0576 cents 4.44527 cents 24.59887 cents 20: 554.2112 .. 558.6564 cents 4.44527 cents 20.15361 cents 21: 583.2553 .. 587.7006 cents 4.44527 cents 24.59887 cents 22: 612.2994 .. 616.7447 cents 4.44527 cents 24.59887 cents 23: 641.3436 .. 645.7888 cents 4.44527 cents 24.59887 cents 24: 665.9424 .. 670.3877 cents 4.44527 cents 20.15361 cents 25: 694.9866 .. 699.4318 cents 4.44527 cents 24.59887 cents 26: 724.0307 .. 728.4760 cents 4.44527 cents 24.59887 cents 27: 753.0749 .. 757.5201 cents 4.44527 cents 24.59887 cents 28: 777.6737 .. 782.1190 cents 4.44527 cents 20.15360 cents 29: 806.7179 .. 811.1631 cents 4.44527 cents 24.59887 cents 30: 835.7620 .. 840.2073 cents 4.44527 cents 24.59887 cents 31: 864.8061 .. 869.2514 cents 4.44527 cents 24.59887 cents 32: 889.4050 .. 893.8503 cents 4.44527 cents 20.15361 cents 33: 918.4492 .. 922.8944 cents 4.44527 cents 24.59887 cents 34: 947.4933 .. 951.9386 cents 4.44527 cents 24.59887 cents 35: 976.5374 .. 980.9827 cents 4.44527 cents 24.59887 cents 36: 1001.1363 .. 1005.5816 cents 4.44527 cents 20.15361 cents 37: 1030.1804 .. 1034.6257 cents 4.44527 cents 24.59887 cents 38: 1059.2246 .. 1063.6698 cents 4.44527 cents 24.59887 cents 39: 1088.2687 .. 1092.7140 cents 4.44527 cents 24.59887 cents 40: 1112.8676 .. 1117.3129 cents 4.44527 cents 20.15361 cents 41: 1141.9117 .. 1146.3570 cents 4.44527 cents 24.59887 cents 42: 1170.9559 .. 1175.4011 cents 4.44527 cents 24.59887 cents
SHOW DATA
Number of notes : 43 -- Interval properties -- Smallest interval : 24.59887 cents, class 1 Average step (divided formal octave): 27.9070 cents Largest one step interval : 29.04414 cents Average / Smallest step : 1.134482 Largest / Average step : 1.040748 Largest / Smallest step : 1.180710 Median interval of one step : 29.04414 cents, amount: 32 Most common interval of one step : 29.04414 cents, amount: 32 Least squares average step : 27.83925 cents, oct.: 1197.08758 cents Scale is strictly proper Scale has Myhill's property chromas: 4.44527 cents and 20.15360 cents, ratio: 4.533722 generators: 111.73129 cents and 39 of 1088.26871 cents ET pair of linear temperament : 10&11 Scale is maximally even for L / S <= 2 Scale is distributional even Step pattern alph. order: ABBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBB Step pattern size order : SLLSLLLSLLLSLLLSLLLSLLLSLLLSLLLSLLLSLLLSLLL Scale is a Constant Structure, by a margin of 20.15360 cents Scale diversity : 1.079213 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.844416 Rothenberg efficiency : 0.682171 redundancy: 0.317829 Efficiency x scale size : 29.333333 Number of different interval sizes : 84 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 4.44527 cents Most common intervals : 111.73129 cents & inv., amount: 42 Scale is a chain of 21 triads 0.0 111.731 223.463 cents Most common triad is 0.0 111.731 1088.269 cents, amount: 41 Number of recognisable fifths : 43, average 697.6744 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 2.3256% Scale is n-1 differentially coherent in interval classes 3 and 4 combined Scale is n-1 differentially coherent in interval class 4 Limited transpositions with margin 4.4453 cents: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 Limited inverse transpositions : 4 Inversional symmetry on degrees : 2 Inversional symmetry on intervals : 23-24 -- Rational properties -- Prime limit : 5 (not all pitches rational)
FIT/MODE
43: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 2.5217 c. M:-4.3419 c. 135: 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 4 2 4 3 3 3 3 3 4 2 4 3 3 3 3 4 3 3 3 3 3 3 3 4 3 SP D3 S SD: 2.5212 c. M: 4.3404 c. 136: 3 3 3 3 3 4 3 3 3 3 4 2 4 3 3 3 3 4 3 3 3 3 4 2 4 3 3 3 3 4 3 3 3 3 4 2 4 3 3 3 3 4 3 SP D3 S SD: 2.4967 c. M: 4.2780 c. 141: 3 3 4 3 3 3 4 3 3 4 3 3 3 4 3 3 3 4 3 3 4 3 3 3 4 3 4 2 4 3 4 3 3 3 4 3 3 4 3 3 3 4 3 SP D3 SD: 2.4640 c. M:-4.6052 c. 142: 3 3 4 3 3 4 3 3 3 4 3 3 4 3 3 3 4 3 4 3 3 3 4 3 3 4 3 3 3 4 3 3 4 3 4 2 4 3 4 3 3 4 3 SP D3 SD: 2.3928 c. M: 3.9532 c. 143: 3 3 4 3 3 4 3 3 4 3 3 3 4 3 4 3 3 4 3 3 4 3 3 3 4 3 4 3 3 4 3 3 3 4 3 3 4 3 4 3 3 4 3 SP D3 SD: 2.3808 c. M:-4.1573 c. 146: 3 4 3 3 4 3 4 3 3 4 3 3 4 3 4 3 3 4 3 3 4 3 4 3 4 3 4 3 3 4 3 3 4 3 4 3 3 4 3 3 4 3 4 SP D3 SD: 2.3318 c. M: 4.0803 c. 147: 3 4 3 3 4 3 4 3 3 4 4 3 3 4 3 3 4 3 4 3 3 4 4 3 3 4 3 3 4 3 4 3 4 3 4 3 3 4 3 3 4 3 4 SP D3 SD: 2.3297 c. M:-4.0544 c. 148: 3 4 3 3 4 3 4 3 4 3 4 3 3 4 4 3 3 4 3 3 4 4 3 3 4 3 4 3 3 4 4 3 3 4 3 3 4 4 3 3 4 3 4 SP D3 SD: 2.3027 c. M: 4.0152 c. 149: 3 4 3 3 4 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 4 3 3 4 4 3 3 4 3 3 4 4 3 3 4 4 3 3 4 3 4 SP D3 SD: 2.2747 c. M:-3.9721 c. 153: 3 4 4 3 3 4 4 3 4 3 4 3 4 4 3 3 4 4 4 3 3 4 4 3 4 3 4 3 4 4 3 3 4 4 4 3 3 4 4 3 4 3 4 SP D3 S SD: 2.2220 c. M:-3.8547 c. 155: 3 4 4 3 4 3 4 3 4 4 4 3 3 4 4 3 4 4 3 4 3 4 4 3 4 4 3 3 4 4 4 3 4 3 4 3 4 4 4 3 3 4 4 SP D3 SD: 2.2025 c. M: 3.8472 c. 157: 3 4 4 3 4 4 3 4 3 4 4 3 4 4 4 3 4 3 4 4 3 4 4 3 4 4 4 3 4 3 4 3 4 4 4 3 4 4 3 4 3 4 4 SP D3 SD: 2.1788 c. M: 3.7529 c. 158: 3 4 4 3 4 4 4 3 4 3 4 4 3 4 4 3 4 4 4 3 4 4 3 4 4 3 4 3 4 4 4 3 4 4 4 3 4 3 4 4 3 4 4 SP D3 SD: 2.1648 c. M:-3.7476 c. 159: 3 4 4 3 4 4 4 3 4 4 4 3 4 4 3 4 3 4 4 3 4 4 4 3 4 4 4 3 4 4 4 3 4 4 3 4 3 4 4 3 4 4 4 SP D3 SD: 2.1447 c. M: 3.7653 c. 161: 3 4 4 3 4 4 4 3 4 4 4 3 4 4 4 3 4 4 4 3 4 4 4 3 4 4 4 3 4 4 4 3 4 4 4 3 4 4 4 3 4 4 4 SP M ME S SD: 1.7064 c. M: 2.9382 c. 179: 4 4 4 4 4 5 4 4 4 4 5 3 5 4 4 4 4 5 4 4 4 4 5 3 5 4 4 4 4 5 4 4 4 4 5 3 5 4 4 4 4 5 4 SP D3 S SD: 1.8031 c. M: 2.2570 c. 190: 4 4 5 4 5 4 5 4 4 5 4 4 5 5 4 4 5 4 5 4 4 5 5 3 5 5 4 4 5 4 5 4 4 5 5 4 4 5 4 4 5 4 5 SP D3 SD: 1.8021 c. M: 3.1167 c. 191: 4 5 4 4 5 4 5 4 4 5 5 4 4 5 5 3 5 5 4 4 5 4 5 4 5 4 5 4 4 5 5 4 4 5 4 4 5 5 4 4 5 4 5 SP D3 SD: 1.7827 c. M:-3.0614 c. 192: 4 5 4 4 5 4 5 4 5 4 5 4 5 4 5 4 4 5 5 4 4 5 5 4 4 5 4 4 5 5 4 4 5 5 4 4 5 4 5 4 5 4 5 SP D3 SD: 1.7589 c. M: 3.0749 c. 193: 4 5 4 4 5 5 4 4 5 5 4 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 SP D3 S SD: 1.6691 c. M: 3.3446 c. 203: 4 5 5 4 5 5 5 4 5 5 5 4 5 5 5 4 5 5 5 4 5 5 4 5 5 4 5 5 4 5 5 4 5 5 5 4 5 5 5 4 5 5 5 SP D3 SD: 1.6620 c. M: 2.9199 c. 204: 4 5 5 4 5 5 5 4 5 5 5 4 5 5 5 4 5 5 5 4 5 5 5 4 5 5 5 4 5 5 5 4 5 5 5 4 5 5 5 4 5 5 5 SP M ME S SD: 0.8152 c. M: 1.4037 c. 247: 5 6 6 5 6 6 6 5 6 6 6 5 6 6 6 5 6 6 6 5 6 6 6 5 6 6 6 5 6 6 6 5 6 6 6 5 6 6 6 5 6 6 6 SP M ME S SD: 0.2343 c. M: 0.4034 c. 290: 6 7 7 6 7 7 7 6 7 7 7 6 7 7 7 6 7 7 7 6 7 7 7 6 7 7 7 6 7 7 7 6 7 7 7 6 7 7 7 6 7 7 7 SP M ME S SD: 0.1743 c. M:-0.3002 c. 537: 11 13 13 11 13 13 13 11 13 13 13 11 13 13 13 11 13 13 13 11 13 13 13 11 13 13 13 11 13 13 13 11 13 13 13 11 13 13 13 11 13 13 13 SP M DE S SD: 0.0136 c. M: 0.0234 c. 2438: 50 59 59 50 59 59 59 50 59 59 59 50 59 59 59 50 59 59 59 50 59 59 59 50 59 59 59 50 59 59 59 50 59 59 59 50 59 59 59 50 59 59 59 SP M DE S SD: 0.0087 c. M:-0.0150 c. 2975: 61 72 72 61 72 72 72 61 72 72 72 61 72 72 72 61 72 72 72 61 72 72 72 61 72 72 72 61 72 72 72 61 72 72 72 61 72 72 72 61 72 72 72 SP M DE S SD: 0.0047 c. M:-0.0081 c. 3512: 72 85 85 72 85 85 85 72 85 85 85 72 85 85 85 72 85 85 85 72 85 85 85 72 85 85 85 72 85 85 85 72 85 85 85 72 85 85 85 72 85 85 85 SP M DE S SD: 0.0019 c. M:-0.0033 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 3.4842 cents 3 .. 6 match: 3 H SD: 1.8806 cents 4 .. 8 match: 4 H SD: 2.6739 cents 5 .. 10 match: 5 H SD: 3.4500 cents 6 .. 12 match: 6 H SD: 2.8007 cents 7 .. 14 match: 7 H SD: 3.5417 cents 8 .. 16 match: 8 H SD: 1.9185 cents 9 .. 18 match: 9 H SD: 2.8487 cents 10 .. 20 match: 10 H SD: 2.2063 cents 11 .. 22 match: 11 H SD: 2.3652 cents 12 .. 24 match: 12 H SD: 2.2749 cents 13 .. 26 match: 13 H SD: 1.9586 cents 14 .. 28 match: 14 H SD: 2.1433 cents 15 .. 30 match: 15 H SD: 1.7523 cents 16 .. 32 match: 16 H SD: 1.6309 cents 17 .. 34 match: 17 H SD: 1.6749 cents 18 .. 36 match: 18 H SD: 2.1580 cents 19 .. 38 match: 19 H SD: 1.9235 cents 20 .. 40 match: 20 H SD: 1.5584 cents 21 .. 42 match: 21 H SD: 1.6122 cents 22 .. 44 match: 22 H SD: 1.6965 cents 23 .. 46 match: 23 H SD: 1.8623 cents 24 .. 48 match: 24 H SD: 1.5453 cents 25 .. 50 match: 25 H SD: 1.6548 cents 26 .. 52 match: 26 H SD: 1.4280 cents 27 .. 54 match: 27 H SD: 1.6634 cents 28 .. 56 match: 28 H SD: 1.5709 cents 29 .. 58 match: 29 H SD: 1.4106 cents 30 .. 60 match: 30 H SD: 1.3371 cents 31 .. 62 match: 31 H SD: 1.3065 cents 32 .. 64 match: 32 H SD: 1.2533 cents 33 .. 66 match: 33 H SD: 1.2462 cents 34 .. 68 match: 34 H SD: 1.3173 cents 35 .. 70 match: 33 SD: 1.4890 cents 36 .. 72 match: 34 S SD: 1.4071 cents 37 .. 74 match: 36 S SD: 1.1846 cents 38 .. 76 match: 37 SD: 1.3393 cents 39 .. 78 match: 37 SD: 1.2497 cents 40 .. 80 match: 38 SD: 1.0961 cents 41 .. 82 match: 38 SD: 1.3417 cents 42 .. 84 match: 39 SD: 1.0982 cents 43 .. 86 match: 39 SD: 1.3050 cents 44 .. 88 match: 40 SD: 1.2138 cents 45 .. 90 match: 40 SD: 1.1273 cents 46 .. 92 match: 40 SD: 1.3180 cents 47 .. 94 match: 41 SD: 1.0216 cents 48 .. 96 match: 41 SD: 1.0554 cents 49 .. 98 match: 40 SD: 1.2166 cents 50 .. 100 match: 42 SD: 1.1466 cents 51 .. 102 match: 42 SD: 0.8900 cents 52 .. 104 match: 42 SD: 0.9590 cents 53 .. 106 match: 42 SD: 1.0881 cents 54 .. 108 match: 42 SD: 1.1656 cents 55 .. 110 match: 42 SD: 1.1600 cents 56 .. 112 match: 43 SD: 1.0328 cents 57 .. 114 match: 43 SD: 0.9228 cents 58 .. 116 match: 43 SD: 0.7981 cents 62 .. 124 match: 43 SD: 0.7790 cents 66 .. 132 match: 43 SD: 0.7687 cents 69 .. 138 match: 43 SD: 0.7607 cents 73 .. 146 match: 43 SD: 0.7133 cents 77 .. 154 match: 43 SD: 0.6640 cents 82 .. 164 match: 43 SD: 0.6621 cents 83 .. 166 match: 43 SD: 0.5968 cents 87 .. 174 match: 43 SD: 0.5723 cents 92 .. 184 match: 43 SD: 0.5440 cents 96 .. 192 match: 43 SD: 0.5327 cents 99 .. 198 match: 43 SD: 0.5241 cents 103 .. 206 match: 43 SD: 0.4864 cents 109 .. 218 match: 43 SD: 0.4799 cents 110 .. 220 match: 43 SD: 0.4766 cents 118 .. 236 match: 43 SD: 0.4645 cents 119 .. 238 match: 43 SD: 0.4438 cents 120 .. 240 match: 43 SD: 0.4061 cents 123 .. 246 match: 43 SD: 0.4032 cents 125 .. 250 match: 43 SD: 0.3752 cents 134 .. 268 match: 43 SD: 0.3664 cents 140 .. 280 match: 43 SD: 0.3649 cents 143 .. 286 match: 43 SD: 0.3050 cents 160 .. 320 match: 43 SD: 0.2926 cents 162 .. 324 match: 43 SD: 0.2810 cents 185 .. 370 match: 43 SD: 0.2626 cents 200 .. 400 match: 43 SD: 0.2585 cents 202 .. 404 match: 43 SD: 0.2393 cents 207 .. 414 match: 43 SD: 0.2339 cents 217 .. 434 match: 43 SD: 0.2218 cents 220 .. 440 match: 43 SD: 0.2211 cents 243 .. 486 match: 43 SD: 0.2122 cents 247 .. 494 match: 43 SD: 0.1919 cents 268 .. 536 match: 43 SD: 0.1782 cents 281 .. 562 match: 43 SD: 0.1623 cents 310 .. 620 match: 43 SD: 0.1530 cents 326 .. 652 match: 43 SD: 0.1481 cents 342 .. 684 match: 43 SD: 0.1462 cents 346 .. 692 match: 43 SD: 0.1366 cents 347 .. 694 match: 43 SD: 0.1325 cents 377 .. 754 match: 43 SD: 0.1215 cents 408 .. 816 match: 43 SD: 0.1190 cents 409 .. 818 match: 43 SD: 0.1112 cents 429 .. 858 match: 43 SD: 0.1085 cents 450 .. 900 match: 43 SD: 0.0991 cents 472 .. 944 match: 43 SD: 0.0990 cents 480 .. 960 match: 43 SD: 0.0893 cents 512 .. 1024 match: 43 SD: 0.0767 cents