Scala analysis: tenn41a
29&41 Tenney reduced fifths from -20 to 20
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 45/44 38.905773 1/5-tone 2: 25/24 70.672427 classic chromatic semitone, minor chroma 3: 22/21 80.537035 undecimal minor semitone 4: 15/14 119.442808 major diatonic semitone 5: 12/11 150.637059 undecimal neutral second, 3/4-tone 6: 10/9 182.403712 minor whole tone 7: 9/8 203.910002 major whole tone 8: 63/55 235.104252 9: 7/6 266.870906 septimal minor third 10: 25/21 301.846520 BP second, quasi-equal minor third 11: 6/5 315.641287 minor third 12: 11/9 347.407941 undecimal neutral third 13: 5/4 386.313714 major third 14: 14/11 417.507964 undecimal diminished fourth or major third 15: 9/7 435.084095 septimal major third, BP third 16: 55/42 466.850749 17: 4/3 498.044999 perfect fourth 18: 15/11 536.950772 undecimal augmented fourth 19: 11/8 551.317942 undecimal semi-augmented fourth 20: 88/63 578.582034 21: 63/44 621.417966 22: 16/11 648.682058 undecimal semi-diminished fifth 23: 22/15 663.049228 undecimal diminished fifth 24: 3/2 701.955001 perfect fifth 25: 32/21 729.219093 wide fifth 26: 14/9 764.915905 septimal minor sixth 27: 11/7 782.492036 undecimal augmented fifth 28: 8/5 813.686286 minor sixth 29: 18/11 852.592059 undecimal neutral sixth 30: 5/3 884.358713 major sixth, BP sixth 31: 27/16 905.865003 Pythagorean major sixth 32: 189/110 937.059253 33: 110/63 964.895748 34: 16/9 996.089998 Pythagorean minor seventh 35: 9/5 1017.596288 just minor seventh, BP seventh 36: 11/6 1049.362941 undecimal neutral seventh, 21/4-tone 37: 15/8 1088.268715 classic major seventh 38: 21/11 1119.462965 undecimal major seventh 39: 27/14 1137.039096 septimal major seventh 40: 55/28 1168.805750 41: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 56/55 31.1943 undecimal diesis, konbini comma 1: 45/44 38.9058 1/5-tone 2: 55/54 31.7667 telepathma 3: 176/175 9.8646 valinorsma 4: 45/44 38.9058 1/5-tone 5: 56/55 31.1943 undecimal diesis, konbini comma 6: 55/54 31.7667 telepathma 7: 81/80 21.5063 syntonic comma, Didymus comma 8: 56/55 31.1943 undecimal diesis, konbini comma 9: 55/54 31.7667 telepathma 10: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 11: 126/125 13.7948 septimal semicomma, Starling comma 12: 55/54 31.7667 telepathma 13: 45/44 38.9058 1/5-tone 14: 56/55 31.1943 undecimal diesis, konbini comma 15: 99/98 17.5761 small undecimal comma 16: 55/54 31.7667 telepathma 17: 56/55 31.1943 undecimal diesis, konbini comma 18: 45/44 38.9058 1/5-tone 19: 121/120 14.3672 undecimal seconds comma, biyatisma 20: 64/63 27.2641 septimal comma, Archytas' comma 21: 3969/3872 42.8359 22: 64/63 27.2641 septimal comma, Archytas' comma 23: 121/120 14.3672 undecimal seconds comma, biyatisma 24: 45/44 38.9058 1/5-tone 25: 64/63 27.2641 septimal comma, Archytas' comma 26: 49/48 35.6968 slendro diesis, septimal 1/6-tone 27: 99/98 17.5761 small undecimal comma 28: 56/55 31.1943 undecimal diesis, konbini comma 29: 45/44 38.9058 1/5-tone 30: 55/54 31.7667 telepathma 31: 81/80 21.5063 syntonic comma, Didymus comma 32: 56/55 31.1943 undecimal diesis, konbini comma 33: 12100/11907 27.8365 34: 56/55 31.1943 undecimal diesis, konbini comma 35: 81/80 21.5063 syntonic comma, Didymus comma 36: 55/54 31.7667 telepathma 37: 45/44 38.9058 1/5-tone 38: 56/55 31.1943 undecimal diesis, konbini comma 39: 99/98 17.5761 small undecimal comma 40: 55/54 31.7667 telepathma 41: 56/55 31.1943 undecimal diesis, konbini comma
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 176/175 9.865 cents valinorsma 1: 1 126/125 13.795 cents septimal semicomma, Starling comma 1: 2 121/120 14.367 cents undecimal seconds comma, biyatisma 1: 3 99/98 17.576 cents small undecimal comma 1: 3 81/80 21.506 cents syntonic comma, Didymus comma 1: 3 64/63 27.264 cents septimal comma, Archytas' comma 1: 1 12100/11907 27.836 cents 1: 9 56/55 31.194 cents undecimal diesis, konbini comma 1: 8 55/54 31.767 cents telepathma 1: 1 50/49 34.976 cents Erlich's decatonic comma, tritonic diesis 1: 1 49/48 35.697 cents slendro diesis, septimal 1/6-tone 1: 7 45/44 38.906 cents 1/5-tone 1: 1 3969/3872 42.836 cents 2: 3 968/945 41.631 cents 2: 1 77/75 45.561 cents 2: 5 36/35 48.770 cents septimal diesis, 1/4-tone 2: 2 605/588 49.343 cents 2: 3 567/550 52.701 cents 2: 6 33/32 53.273 cents undecimal comma, al-Farabi's 1/4-tone 2: 2 1760/1701 59.031 cents 2: 5 28/27 62.961 cents Archytas' 1/3-tone 2: 1 80/77 66.170 cents 2: 1 1375/1323 66.742 cents 2: 8 126/121 70.100 cents 2: 4 25/24 70.672 cents classic chromatic semitone, minor chroma 3: 1 288/275 79.965 cents 3: 14 22/21 80.537 cents undecimal minor semitone 3: 10 21/20 84.467 cents minor semitone 3: 3 81/77 87.676 cents 3: 1 256/243 90.225 cents limma, Pythagorean minor second 3: 2 135/128 92.179 cents major chroma, major limma 3: 1 128/121 97.364 cents undecimal semitone 3: 1 200/189 97.937 cents 3: 8 35/33 101.867 cents 4: 1 1408/1323 107.801 cents 4: 12 16/15 111.731 cents minor diatonic semitone 4: 3 605/567 112.304 cents 4: 2 294/275 115.661 cents 4: 3 77/72 116.234 cents undecimal secor 4: 11 15/14 119.443 cents major diatonic semitone 4: 8 189/176 123.373 cents 4: 1 175/162 133.633 cents 5: 1 242/225 126.098 cents 5: 4 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 5: 2 121/112 133.810 cents 5: 2 243/224 140.949 cents Archytas' 2/3-tone 5: 7 88/81 143.498 cents 2nd undecimal neutral second 5: 1 49/45 147.428 cents BP minor semitone 5: 12 12/11 150.637 cents undecimal neutral second, 3/4-tone 5: 7 275/252 151.209 cents 5: 4 1323/1210 154.567 cents 5: 1 35/32 155.140 cents septimal neutral second 6: 3 484/441 161.074 cents two (undecimal minor semitone) 6: 1 1512/1375 164.432 cents 6: 10 11/10 165.004 cents Ptolemy's second, 4/5-tone 6: 1 54/49 168.213 cents Zalzal's mujannab 6: 2 243/220 172.143 cents 6: 1 495/448 172.716 cents 6: 1 567/512 176.646 cents 6: 1 256/231 177.901 cents 6: 2 672/605 181.831 cents 6: 13 10/9 182.404 cents minor whole tone 6: 3 49/44 186.334 cents undecimal minor whole tone 6: 3 135/121 189.543 cents 7: 4 352/315 192.268 cents 7: 5 28/25 196.198 cents middle second 7: 2 121/108 196.771 cents 7: 5 55/49 199.980 cents quasi-equal major second 7: 12 9/8 203.910 cents major whole tone 7: 1 3969/3520 207.840 cents 7: 7 112/99 213.598 cents 7: 5 25/22 221.309 cents undecimal acute whole tone 8: 4 154/135 227.965 cents 8: 13 8/7 231.174 cents septimal whole tone 8: 2 3025/2646 231.746 cents 8: 12 63/55 235.104 cents 8: 6 55/48 235.677 cents undecimal semi-augmented whole tone 8: 2 405/352 242.816 cents 8: 1 280/243 245.365 cents 8: 1 125/108 253.076 cents semi-augmented whole tone 9: 1 144/125 244.969 cents classic diminished third 9: 2 121/105 245.541 cents 9: 1 231/200 249.471 cents 5/4-tone 9: 3 81/70 252.680 cents Al-Hwarizmi's lute middle finger 9: 1 297/256 257.183 cents 9: 4 64/55 262.368 cents 9: 10 220/189 262.941 cents 9: 1 3528/3025 266.299 cents 9: 10 7/6 266.871 cents septimal minor third 9: 2 90/77 270.080 cents 9: 4 567/484 274.010 cents 9: 2 75/64 274.582 cents classic augmented second 10: 5 88/75 276.736 cents 10: 11 33/28 284.447 cents undecimal minor third 10: 2 189/160 288.377 cents 10: 5 32/27 294.135 cents Pythagorean minor third 10: 4 196/165 298.065 cents 10: 3 144/121 301.274 cents two (undecimal neutral second, 3/4-tone) 10: 5 25/21 301.847 cents BP second, quasi-equal minor third 10: 6 105/88 305.777 cents 11: 1 484/405 308.502 cents 11: 2 176/147 311.711 cents 11: 15 6/5 315.641 cents minor third 11: 4 605/504 316.214 cents 11: 1 1323/1100 319.571 cents 11: 1 77/64 320.144 cents Keemun minor third 11: 3 135/112 323.353 cents septimal wide minor third 11: 1 1701/1408 327.283 cents 11: 2 98/81 329.832 cents 11: 8 40/33 333.041 cents 11: 1 1375/1134 333.613 cents 11: 2 147/121 336.971 cents 12: 1 128/105 342.905 cents septimal neutral third 12: 3 4840/3969 343.478 cents 12: 5 336/275 346.836 cents 12: 13 11/9 347.408 cents undecimal neutral third 12: 13 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 12: 1 275/224 355.119 cents 12: 1 11907/9680 358.477 cents 12: 1 315/256 359.050 cents 12: 3 100/81 364.807 cents grave major third 13: 1 154/125 361.203 cents 13: 1 216/175 364.412 cents 13: 1 121/98 364.984 cents 13: 3 99/80 368.914 cents 13: 1 243/196 372.123 cents 13: 3 704/567 374.672 cents 13: 7 56/45 378.602 cents septimal narrow major third 13: 2 96/77 381.811 cents 13: 2 550/441 382.384 cents 13: 4 756/605 385.741 cents 13: 15 5/4 386.314 cents major third 13: 1 441/352 390.244 cents 14: 9 44/35 396.178 cents 14: 2 63/50 400.108 cents quasi-equal major third 14: 2 121/96 400.681 cents 14: 1 495/392 403.890 cents 14: 3 81/64 407.820 cents Pythagorean major third 14: 1 308/243 410.369 cents 14: 6 80/63 413.578 cents wide major third 14: 14 14/11 417.508 cents undecimal diminished fourth or major third 14: 1 275/216 418.080 cents 14: 2 225/176 425.219 cents 15: 4 32/25 427.373 cents classic diminished fourth 15: 7 242/189 427.945 cents 15: 1 77/60 431.875 cents 15: 7 9/7 435.084 cents septimal major third, BP third 15: 6 567/440 439.014 cents 15: 2 165/128 439.587 cents 15: 3 128/99 444.772 cents 15: 1 2200/1701 445.344 cents 15: 1 784/605 448.702 cents 15: 4 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 15: 1 100/77 452.484 cents 15: 3 315/242 456.414 cents 15: 1 125/96 456.986 cents classic augmented third 16: 5 176/135 459.139 cents 16: 1 64/49 462.348 cents 2 septatones or septatonic major third 16: 1 98/75 463.069 cents 16: 8 72/55 466.278 cents undecimal semi-diminished fourth 16: 11 55/42 466.851 cents 16: 2 3969/3025 470.209 cents 16: 7 21/16 470.781 cents narrow fourth 16: 2 405/308 473.990 cents 16: 1 320/243 476.539 cents grave fourth 16: 1 392/297 480.469 cents 16: 1 250/189 484.250 cents 16: 1 175/132 488.180 cents 17: 4 33/25 480.646 cents 2 pentatones 17: 2 297/224 488.357 cents 17: 1 1760/1323 494.115 cents 17: 24 4/3 498.045 cents perfect fourth 17: 3 147/110 501.975 cents 17: 1 162/121 505.184 cents 17: 4 75/56 505.757 cents marvelous fourth 17: 2 945/704 509.687 cents 18: 1 704/525 507.910 cents 18: 1 168/125 511.840 cents 18: 3 121/90 512.412 cents 18: 4 66/49 515.621 cents 18: 6 27/20 519.551 cents acute fourth 18: 1 605/448 520.124 cents 18: 1 256/189 525.309 cents 18: 5 224/165 529.239 cents 18: 6 110/81 529.812 cents 18: 10 15/11 536.951 cents undecimal augmented fourth 18: 2 1323/968 540.881 cents 18: 1 175/128 541.453 cents 19: 1 3872/2835 539.676 cents 19: 1 308/225 543.606 cents 19: 3 48/35 546.815 cents septimal semi-augmented fourth 19: 4 605/441 547.388 cents 19: 6 378/275 550.746 cents 19: 8 11/8 551.318 cents undecimal semi-augmented fourth 19: 1 135/98 554.527 cents 19: 2 243/176 558.457 cents 19: 4 112/81 561.006 cents 19: 1 5500/3969 564.787 cents 19: 5 168/121 568.145 cents 19: 4 25/18 568.717 cents classic augmented fourth 19: 1 675/484 575.857 cents 20: 1 384/275 578.010 cents 20: 11 88/63 578.582 cents 20: 12 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 20: 4 108/77 585.721 cents 20: 1 1701/1210 589.651 cents 20: 7 45/32 590.224 cents diatonic tritone 20: 1 800/567 595.982 cents 20: 3 140/99 599.912 cents quasi-equal tritone 20: 1 125/88 607.623 cents 21: 1 176/125 592.377 cents 21: 3 99/70 600.088 cents 2nd quasi-equal tritone 21: 1 567/400 604.018 cents 21: 7 64/45 609.776 cents 2nd tritone 21: 1 2420/1701 610.349 cents 21: 4 77/54 614.279 cents 21: 12 10/7 617.488 cents Euler's tritone 21: 11 63/44 621.418 cents 21: 1 275/192 621.990 cents 22: 1 968/675 624.143 cents 22: 4 36/25 631.283 cents classic diminished fifth 22: 5 121/84 631.855 cents 22: 1 3969/2750 635.213 cents 22: 4 81/56 638.994 cents 22: 2 352/243 641.543 cents 22: 1 196/135 645.473 cents 22: 8 16/11 648.682 cents undecimal semi-diminished fifth 22: 6 275/189 649.254 cents 22: 4 882/605 652.612 cents 22: 3 35/24 653.185 cents septimal semi-diminished fifth 22: 1 225/154 656.394 cents 22: 1 2835/1936 660.324 cents 23: 1 256/175 658.547 cents 23: 2 1936/1323 659.119 cents 23: 10 22/15 663.049 cents undecimal diminished fifth 23: 6 81/55 670.188 cents 23: 5 165/112 670.761 cents 23: 1 189/128 674.691 cents 23: 1 896/605 679.876 cents 23: 6 40/27 680.449 cents grave fifth 23: 4 49/33 684.379 cents 23: 3 180/121 687.588 cents 23: 1 125/84 688.160 cents 23: 1 525/352 692.090 cents 24: 2 1408/945 690.313 cents 24: 4 112/75 694.243 cents marvelous fifth 24: 1 121/81 694.816 cents two (undecimal neutral third) 24: 3 220/147 698.025 cents 24: 24 3/2 701.955 cents perfect fifth 24: 1 1323/880 705.885 cents 24: 2 448/297 711.643 cents 24: 4 50/33 719.354 cents 3 pentatones 25: 1 264/175 711.820 cents 25: 1 189/125 715.750 cents 25: 1 297/196 719.531 cents 25: 1 243/160 723.461 cents acute fifth 25: 2 616/405 726.010 cents 25: 7 32/21 729.219 cents wide fifth 25: 2 6050/3969 729.791 cents 25: 11 84/55 733.149 cents 25: 8 55/36 733.722 cents undecimal semi-augmented fifth 25: 1 75/49 736.931 cents BP fifth 25: 1 49/32 737.652 cents 25: 5 135/88 740.861 cents 26: 1 192/125 743.014 cents classic diminished sixth 26: 3 484/315 743.586 cents 26: 1 77/50 747.516 cents 26: 4 54/35 750.725 cents septimal semi-augmented fifth 26: 1 605/392 751.298 cents 26: 1 1701/1100 754.656 cents 26: 3 99/64 755.228 cents 26: 2 256/165 760.413 cents 26: 6 880/567 760.986 cents 26: 7 14/9 764.916 cents septimal minor sixth 26: 1 120/77 768.125 cents 26: 7 189/121 772.055 cents 26: 4 25/16 772.627 cents classic augmented fifth 27: 2 352/225 774.781 cents 27: 1 432/275 781.920 cents 27: 14 11/7 782.492 cents undecimal augmented fifth 27: 6 63/40 786.422 cents narrow minor sixth 27: 1 243/154 789.631 cents 27: 3 128/81 792.180 cents Pythagorean minor sixth 27: 1 784/495 796.110 cents 27: 2 192/121 799.319 cents 27: 2 100/63 799.892 cents quasi-equal minor sixth 27: 9 35/22 803.822 cents 28: 1 704/441 809.756 cents 28: 15 8/5 813.686 cents minor sixth 28: 4 605/378 814.259 cents 28: 2 441/275 817.616 cents 28: 2 77/48 818.189 cents 28: 7 45/28 821.398 cents septimale wide minor sixth 28: 3 567/352 825.328 cents 28: 1 392/243 827.877 cents 28: 3 160/99 831.086 cents 28: 1 196/121 835.016 cents two (undecimal diminished fourth or major third) 28: 1 175/108 835.588 cents 28: 1 125/77 838.797 cents 29: 3 81/50 835.193 cents acute minor sixth 29: 1 512/315 840.950 cents 29: 1 19360/11907 841.523 cents 29: 1 448/275 844.881 cents 29: 13 44/27 845.453 cents neutral sixth 29: 13 18/11 852.592 cents undecimal neutral sixth 29: 5 275/168 853.164 cents 29: 3 3969/2420 856.522 cents 29: 1 105/64 857.095 cents septimal neutral sixth 30: 2 242/147 863.029 cents 30: 1 2268/1375 866.387 cents 30: 8 33/20 866.959 cents 30: 2 81/49 870.168 cents two (septimal major third, BP third) 30: 1 2816/1701 872.717 cents 30: 3 224/135 876.647 cents narrow septimal major sixth 30: 1 128/77 879.856 cents 30: 1 2200/1323 880.429 cents 30: 4 1008/605 883.786 cents 30: 15 5/3 884.359 cents major sixth, BP sixth 30: 2 147/88 888.289 cents 30: 1 405/242 891.498 cents 31: 6 176/105 894.223 cents 31: 5 42/25 898.153 cents quasi-equal major sixth 31: 3 121/72 898.726 cents 31: 4 165/98 901.935 cents 31: 5 27/16 905.865 cents Pythagorean major sixth 31: 2 320/189 911.623 cents 31: 11 56/33 915.553 cents 31: 5 75/44 923.264 cents 32: 2 128/75 925.418 cents diminished seventh 32: 4 968/567 925.990 cents 32: 2 77/45 929.920 cents 32: 10 12/7 933.129 cents septimal major sixth 32: 1 3025/1764 933.701 cents 32: 10 189/110 937.059 cents 32: 4 55/32 937.632 cents 32: 1 512/297 942.817 cents 32: 3 140/81 947.320 cents 32: 1 400/231 950.529 cents 32: 2 210/121 954.459 cents 32: 1 125/72 955.031 cents classic augmented sixth 33: 1 216/125 946.924 cents semi-augmented sixth 33: 1 243/140 954.635 cents 33: 2 704/405 957.184 cents 33: 6 96/55 964.323 cents 33: 12 110/63 964.896 cents 33: 2 5292/3025 968.254 cents 33: 13 7/4 968.826 cents harmonic seventh 33: 4 135/77 972.035 cents 34: 5 44/25 978.691 cents undecimal grave minor seventh 34: 7 99/56 986.402 cents 34: 1 7040/3969 992.160 cents 34: 12 16/9 996.090 cents Pythagorean minor seventh 34: 5 98/55 1000.020 cents quasi-equal minor seventh 34: 2 216/121 1003.229 cents 34: 5 25/14 1003.802 cents middle minor seventh 34: 4 315/176 1007.732 cents 35: 3 242/135 1010.457 cents 35: 3 88/49 1013.666 cents undecimal minor seventh 35: 13 9/5 1017.596 cents just minor seventh, BP seventh 35: 2 605/336 1018.169 cents 35: 1 231/128 1022.099 cents 35: 1 1024/567 1023.354 cents 35: 1 896/495 1027.284 cents 35: 2 440/243 1027.857 cents 35: 1 49/27 1031.787 cents 35: 10 20/11 1034.996 cents large minor seventh 35: 1 1375/756 1035.568 cents 35: 3 441/242 1038.926 cents 36: 1 64/35 1044.860 cents septimal neutral seventh 36: 4 2420/1323 1045.433 cents 36: 7 504/275 1048.791 cents 36: 12 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 36: 1 90/49 1052.572 cents 36: 7 81/44 1056.502 cents 2nd undecimal neutral seventh 36: 2 448/243 1059.051 cents 36: 2 224/121 1066.190 cents 36: 4 50/27 1066.762 cents grave major seventh 36: 1 225/121 1073.902 cents two (undecimal augmented fourth) 37: 1 324/175 1066.367 cents 37: 8 352/189 1076.627 cents 37: 11 28/15 1080.557 cents grave major seventh 37: 3 144/77 1083.766 cents 37: 2 275/147 1084.339 cents 37: 3 1134/605 1087.696 cents 37: 12 15/8 1088.269 cents classic major seventh 37: 1 1323/704 1092.199 cents 38: 8 66/35 1098.133 cents 38: 1 189/100 1102.063 cents 38: 1 121/64 1102.636 cents two (undecimal semi-augmented fourth) 38: 2 256/135 1107.821 cents octave - major chroma 38: 1 243/128 1109.775 cents Pythagorean major seventh 38: 3 154/81 1112.324 cents 38: 10 40/21 1115.533 cents acute major seventh 38: 14 21/11 1119.463 cents undecimal major seventh 38: 1 275/144 1120.035 cents 39: 4 48/25 1129.328 cents classic diminished octave 39: 8 121/63 1129.900 cents 39: 1 2646/1375 1133.258 cents 39: 1 77/40 1133.830 cents 39: 5 27/14 1137.039 cents septimal major seventh 39: 2 1701/880 1140.969 cents 39: 6 64/33 1146.727 cents 33rd subharmonic 39: 3 1100/567 1147.299 cents 39: 2 1176/605 1150.657 cents 39: 5 35/18 1151.230 cents septimal semi-diminished octave 39: 1 150/77 1154.439 cents 39: 3 945/484 1158.369 cents 40: 1 7744/3969 1157.164 cents 40: 7 88/45 1161.094 cents 40: 1 96/49 1164.303 cents 40: 1 49/25 1165.024 cents BP eighth 40: 8 108/55 1168.233 cents 40: 9 55/28 1168.806 cents 40: 1 11907/6050 1172.164 cents 40: 3 63/32 1172.736 cents octave - septimal comma 40: 3 160/81 1178.494 cents octave - syntonic comma 40: 3 196/99 1182.424 cents 40: 2 240/121 1185.633 cents 40: 1 125/63 1186.205 cents 40: 1 175/88 1190.135 cents Highest number of different intervals for one interval class: 13 Average number of different intervals per interval class: 10.50000 = 21/2
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 0.0 : 38.9 70.7 80.5 119.4 150.6 182.4 203.9 235.1 266.9 301.8 315.6 347.4 386.3 417.5 435.1 466.9 498.0 537.0 551.3 578.6 621.4 648.7 663.0 702.0 729.2 764.9 782.5 813.7 852.6 884.4 905.9 937.1 964.9 996.1 1017.6 1049.4 1088.3 1119.5 1137.0 1168.8 1200.0 38.9 : 31.8 41.6 80.5 111.7 143.5 165.0 196.2 228.0 262.9 276.7 308.5 347.4 378.6 396.2 427.9 459.1 498.0 512.4 539.7 582.5 609.8 624.1 663.0 690.3 726.0 743.6 774.8 813.7 845.5 867.0 898.2 926.0 957.2 978.7 1010.5 1049.4 1080.6 1098.1 1129.9 1161.1 1200.0 70.7 : 9.9 48.8 80.0 111.7 133.2 164.4 196.2 231.2 245.0 276.7 315.6 346.8 364.4 396.2 427.4 466.3 480.6 507.9 550.7 578.0 592.4 631.3 658.5 694.2 711.8 743.0 781.9 813.7 835.2 866.4 894.2 925.4 946.9 978.7 1017.6 1048.8 1066.4 1098.1 1129.3 1168.2 1200.0 80.5 : 38.9 70.1 101.9 123.4 154.6 186.3 221.3 235.1 266.9 305.8 337.0 354.5 386.3 417.5 456.4 470.8 498.0 540.9 568.1 582.5 621.4 648.7 684.4 702.0 733.1 772.1 803.8 825.3 856.5 884.4 915.6 937.1 968.8 1007.7 1038.9 1056.5 1088.3 1119.5 1158.4 1190.1 1200.0 119.4 : 31.2 63.0 84.5 115.7 147.4 182.4 196.2 228.0 266.9 298.1 315.6 347.4 378.6 417.5 431.9 459.1 502.0 529.2 543.6 582.5 609.8 645.5 663.0 694.2 733.1 764.9 786.4 817.6 845.5 876.6 898.2 929.9 968.8 1000.0 1017.6 1049.4 1080.6 1119.5 1151.2 1161.1 1200.0 150.6 : 31.8 53.3 84.5 116.2 151.2 165.0 196.8 235.7 266.9 284.4 316.2 347.4 386.3 400.7 427.9 470.8 498.0 512.4 551.3 578.6 614.3 631.9 663.0 702.0 733.7 755.2 786.4 814.3 845.5 867.0 898.7 937.6 968.8 986.4 1018.2 1049.4 1088.3 1120.0 1129.9 1168.8 1200.0 182.4 : 21.5 52.7 84.5 119.4 133.2 165.0 203.9 235.1 252.7 284.4 315.6 354.5 368.9 396.2 439.0 466.3 480.6 519.6 546.8 582.5 600.1 631.3 670.2 702.0 723.5 754.7 782.5 813.7 835.2 867.0 905.9 937.1 954.6 986.4 1017.6 1056.5 1088.3 1098.1 1137.0 1168.2 1200.0 203.9 : 31.2 63.0 97.9 111.7 143.5 182.4 213.6 231.2 262.9 294.1 333.0 347.4 374.7 417.5 444.8 459.1 498.0 525.3 561.0 578.6 609.8 648.7 680.4 702.0 733.1 761.0 792.2 813.7 845.5 884.4 915.6 933.1 964.9 996.1 1035.0 1066.8 1076.6 1115.5 1146.7 1178.5 1200.0 235.1 : 31.8 66.7 80.5 112.3 151.2 182.4 200.0 231.7 262.9 301.8 316.2 343.5 386.3 413.6 427.9 466.9 494.1 529.8 547.4 578.6 617.5 649.3 670.8 702.0 729.8 761.0 782.5 814.3 853.2 884.4 901.9 933.7 964.9 1003.8 1035.6 1045.4 1084.3 1115.5 1147.3 1168.8 1200.0 266.9 : 35.0 48.8 80.5 119.4 150.6 168.2 200.0 231.2 270.1 284.4 311.7 354.5 381.8 396.2 435.1 462.3 498.0 515.6 546.8 585.7 617.5 639.0 670.2 698.0 729.2 750.7 782.5 821.4 852.6 870.2 901.9 933.1 972.0 1003.8 1013.7 1052.6 1083.8 1115.5 1137.0 1168.2 1200.0 301.8 : 13.8 45.6 84.5 115.7 133.2 165.0 196.2 235.1 249.5 276.7 319.6 346.8 361.2 400.1 427.4 463.1 480.6 511.8 550.7 582.5 604.0 635.2 663.0 694.2 715.7 747.5 786.4 817.6 835.2 867.0 898.2 937.1 968.8 978.7 1017.6 1048.8 1080.6 1102.1 1133.3 1165.0 1200.0 315.6 : 31.8 70.7 101.9 119.4 151.2 182.4 221.3 235.7 262.9 305.8 333.0 347.4 386.3 413.6 449.3 466.9 498.0 537.0 568.7 590.2 621.4 649.3 680.4 702.0 733.7 772.6 803.8 821.4 853.2 884.4 923.3 955.0 964.9 1003.8 1035.0 1066.8 1088.3 1119.5 1151.2 1186.2 1200.0 347.4 : 38.9 70.1 87.7 119.4 150.6 189.5 203.9 231.2 274.0 301.3 315.6 354.5 381.8 417.5 435.1 466.3 505.2 537.0 558.5 589.7 617.5 648.7 670.2 702.0 740.9 772.1 789.6 821.4 852.6 891.5 923.3 933.1 972.0 1003.2 1035.0 1056.5 1087.7 1119.5 1154.4 1168.2 1200.0 386.3 : 31.2 48.8 80.5 111.7 150.6 165.0 192.3 235.1 262.4 276.7 315.6 342.9 378.6 396.2 427.4 466.3 498.0 519.6 550.7 578.6 609.8 631.3 663.0 702.0 733.1 750.7 782.5 813.7 852.6 884.4 894.2 933.1 964.3 996.1 1017.6 1048.8 1080.6 1115.5 1129.3 1161.1 1200.0 417.5 : 17.6 49.3 80.5 119.4 133.8 161.1 203.9 231.2 245.5 284.4 311.7 347.4 365.0 396.2 435.1 466.9 488.4 519.6 547.4 578.6 600.1 631.9 670.8 702.0 719.5 751.3 782.5 821.4 853.2 863.0 901.9 933.1 964.9 986.4 1017.6 1049.4 1084.3 1098.1 1129.9 1168.8 1200.0 435.1 : 31.8 63.0 101.9 116.2 143.5 186.3 213.6 228.0 266.9 294.1 329.8 347.4 378.6 417.5 449.3 470.8 502.0 529.8 561.0 582.5 614.3 653.2 684.4 702.0 733.7 764.9 803.8 835.6 845.5 884.4 915.6 947.3 968.8 1000.0 1031.8 1066.8 1080.6 1112.3 1151.2 1182.4 1200.0 466.9 : 31.2 70.1 84.5 111.7 154.6 181.8 196.2 235.1 262.4 298.1 315.6 346.8 385.7 417.5 439.0 470.2 498.0 529.2 550.7 582.5 621.4 652.6 670.2 702.0 733.1 772.1 803.8 813.7 852.6 883.8 915.6 937.1 968.3 1000.0 1035.0 1048.8 1080.6 1119.5 1150.7 1168.2 1200.0 498.0 : 38.9 53.3 80.5 123.4 150.6 165.0 203.9 231.2 266.9 284.4 315.6 354.5 386.3 407.8 439.0 466.9 498.0 519.6 551.3 590.2 621.4 639.0 670.8 702.0 740.9 772.6 782.5 821.4 852.6 884.4 905.9 937.1 968.8 1003.8 1017.6 1049.4 1088.3 1119.5 1137.0 1168.8 1200.0 537.0 : 14.4 41.6 84.5 111.7 126.1 165.0 192.3 228.0 245.5 276.7 315.6 347.4 368.9 400.1 427.9 459.1 480.6 512.4 551.3 582.5 600.1 631.9 663.0 702.0 733.7 743.6 782.5 813.7 845.5 867.0 898.2 929.9 964.9 978.7 1010.5 1049.4 1080.6 1098.1 1129.9 1161.1 1200.0 551.3 : 27.3 70.1 97.4 111.7 150.6 177.9 213.6 231.2 262.4 301.3 333.0 354.5 385.7 413.6 444.8 466.3 498.0 537.0 568.1 585.7 617.5 648.7 687.6 719.4 729.2 768.1 799.3 831.1 852.6 883.8 915.6 950.5 964.3 996.1 1035.0 1066.2 1083.8 1115.5 1146.7 1185.6 1200.0 578.6 : 42.8 70.1 84.5 123.4 150.6 186.3 203.9 235.1 274.0 305.8 327.3 358.5 386.3 417.5 439.0 470.8 509.7 540.9 558.5 590.2 621.4 660.3 692.1 702.0 740.9 772.1 803.8 825.3 856.5 888.3 923.3 937.1 968.8 1007.7 1038.9 1056.5 1088.3 1119.5 1158.4 1172.7 1200.0 621.4 : 27.3 41.6 80.5 107.8 143.5 161.1 192.3 231.2 262.9 284.4 315.6 343.5 374.7 396.2 427.9 466.9 498.0 515.6 547.4 578.6 617.5 649.3 659.1 698.0 729.2 761.0 782.5 813.7 845.5 880.4 894.2 926.0 964.9 996.1 1013.7 1045.4 1076.6 1115.5 1129.9 1157.2 1200.0 648.7 : 14.4 53.3 80.5 116.2 133.8 165.0 203.9 235.7 257.2 288.4 316.2 347.4 368.9 400.7 439.6 470.8 488.4 520.1 551.3 590.2 622.0 631.9 670.8 702.0 733.7 755.2 786.4 818.2 853.2 867.0 898.7 937.6 968.8 986.4 1018.2 1049.4 1088.3 1102.6 1129.9 1172.7 1200.0 663.0 : 38.9 66.2 101.9 119.4 150.6 189.5 221.3 242.8 274.0 301.8 333.0 354.5 386.3 425.2 456.4 474.0 505.8 537.0 575.9 607.6 617.5 656.4 687.6 719.4 740.9 772.1 803.8 838.8 852.6 884.4 923.3 954.5 972.0 1003.8 1035.0 1073.9 1088.3 1115.5 1158.4 1185.6 1200.0 702.0 : 27.3 63.0 80.5 111.7 150.6 182.4 203.9 235.1 262.9 294.1 315.6 347.4 386.3 417.5 435.1 466.9 498.0 537.0 568.7 578.6 617.5 648.7 680.4 702.0 733.1 764.9 799.9 813.7 845.5 884.4 915.6 933.1 964.9 996.1 1035.0 1049.4 1076.6 1119.5 1146.7 1161.1 1200.0 729.2 : 35.7 53.3 84.5 123.4 155.1 176.6 207.8 235.7 266.9 288.4 320.1 359.0 390.2 407.8 439.6 470.8 509.7 541.5 551.3 590.2 621.4 653.2 674.7 705.9 737.7 772.6 786.4 818.2 857.1 888.3 905.9 937.6 968.8 1007.7 1022.1 1049.4 1092.2 1119.5 1133.8 1172.7 1200.0 764.9 : 17.6 48.8 87.7 119.4 140.9 172.1 200.0 231.2 252.7 284.4 323.4 354.5 372.1 403.9 435.1 474.0 505.8 515.6 554.5 585.7 617.5 639.0 670.2 702.0 736.9 750.7 782.5 821.4 852.6 870.2 901.9 933.1 972.0 986.4 1013.7 1056.5 1083.8 1098.1 1137.0 1164.3 1200.0 782.5 : 31.2 70.1 101.9 123.4 154.6 182.4 213.6 235.1 266.9 305.8 337.0 354.5 386.3 417.5 456.4 488.2 498.0 537.0 568.1 599.9 621.4 652.6 684.4 719.4 733.1 764.9 803.8 835.0 852.6 884.4 915.6 954.5 968.8 996.1 1038.9 1066.2 1080.6 1119.5 1146.7 1182.4 1200.0 813.7 : 38.9 70.7 92.2 123.4 151.2 182.4 203.9 235.7 274.6 305.8 323.4 355.1 386.3 425.2 457.0 466.9 505.8 537.0 568.7 590.2 621.4 653.2 688.2 702.0 733.7 772.6 803.8 821.4 853.2 884.4 923.3 937.6 964.9 1007.7 1035.0 1049.4 1088.3 1115.5 1151.2 1168.8 1200.0 852.6 : 31.8 53.3 84.5 112.3 143.5 165.0 196.8 235.7 266.9 284.4 316.2 347.4 386.3 418.1 427.9 466.9 498.0 529.8 551.3 582.5 614.3 649.3 663.0 694.8 733.7 764.9 782.5 814.3 845.5 884.4 898.7 926.0 968.8 996.1 1010.5 1049.4 1076.6 1112.3 1129.9 1161.1 1200.0 884.4 : 21.5 52.7 80.5 111.7 133.2 165.0 203.9 235.1 252.7 284.4 315.6 354.5 386.3 396.2 435.1 466.3 498.0 519.6 550.7 582.5 617.5 631.3 663.0 702.0 733.1 750.7 782.5 813.7 852.6 867.0 894.2 937.1 964.3 978.7 1017.6 1044.9 1080.6 1098.1 1129.3 1168.2 1200.0 905.9 : 31.2 59.0 90.2 111.7 143.5 182.4 213.6 231.2 262.9 294.1 333.0 364.8 374.7 413.6 444.8 476.5 498.0 529.2 561.0 596.0 609.8 641.5 680.4 711.6 729.2 761.0 792.2 831.1 845.5 872.7 915.6 942.8 957.2 996.1 1023.4 1059.1 1076.6 1107.8 1146.7 1178.5 1200.0 937.1 : 27.8 59.0 80.5 112.3 151.2 182.4 200.0 231.7 262.9 301.8 333.6 343.5 382.4 413.6 445.3 466.9 498.0 529.8 564.8 578.6 610.3 649.3 680.4 698.0 729.8 761.0 799.9 814.3 841.5 884.4 911.6 926.0 964.9 992.2 1027.9 1045.4 1076.6 1115.5 1147.3 1168.8 1200.0 964.9 : 31.2 52.7 84.5 123.4 154.6 172.1 203.9 235.1 274.0 305.8 315.6 354.5 385.7 417.5 439.0 470.2 502.0 537.0 550.7 582.5 621.4 652.6 670.2 702.0 733.1 772.1 786.4 813.7 856.5 883.8 898.2 937.1 964.3 1000.0 1017.6 1048.8 1087.7 1119.5 1141.0 1172.2 1200.0 996.1 : 21.5 53.3 92.2 123.4 140.9 172.7 203.9 242.8 274.6 284.4 323.4 354.5 386.3 407.8 439.0 470.8 505.8 519.6 551.3 590.2 621.4 639.0 670.8 702.0 740.9 755.2 782.5 825.3 852.6 867.0 905.9 933.1 968.8 986.4 1017.6 1056.5 1088.3 1109.8 1141.0 1168.8 1200.0 1017.6: 31.8 70.7 101.9 119.4 151.2 182.4 221.3 253.1 262.9 301.8 333.0 364.8 386.3 417.5 449.3 484.3 498.0 529.8 568.7 599.9 617.5 649.3 680.4 719.4 733.7 761.0 803.8 831.1 845.5 884.4 911.6 947.3 964.9 996.1 1035.0 1066.8 1088.3 1119.5 1147.3 1178.5 1200.0 1049.4: 38.9 70.1 87.7 119.4 150.6 189.5 221.3 231.2 270.1 301.3 333.0 354.5 385.7 417.5 452.5 466.3 498.0 537.0 568.1 585.7 617.5 648.7 687.6 702.0 729.2 772.1 799.3 813.7 852.6 879.9 915.6 933.1 964.3 1003.2 1035.0 1056.5 1087.7 1115.5 1146.7 1168.2 1200.0 1088.3: 31.2 48.8 80.5 111.7 150.6 182.4 192.3 231.2 262.4 294.1 315.6 346.8 378.6 413.6 427.4 459.1 498.0 529.2 546.8 578.6 609.8 648.7 663.0 690.3 733.1 760.4 774.8 813.7 841.0 876.6 894.2 925.4 964.3 996.1 1017.6 1048.8 1076.6 1107.8 1129.3 1161.1 1200.0 1119.5: 17.6 49.3 80.5 119.4 151.2 161.1 200.0 231.2 262.9 284.4 315.6 347.4 382.4 396.2 427.9 466.9 498.0 515.6 547.4 578.6 617.5 631.9 659.1 702.0 729.2 743.6 782.5 809.8 845.5 863.0 894.2 933.1 964.9 986.4 1017.6 1045.4 1076.6 1098.1 1129.9 1168.8 1200.0 1137.0: 31.8 63.0 101.9 133.6 143.5 182.4 213.6 245.4 266.9 298.1 329.8 364.8 378.6 410.4 449.3 480.5 498.0 529.8 561.0 599.9 614.3 641.5 684.4 711.6 726.0 764.9 792.2 827.9 845.5 876.6 915.6 947.3 968.8 1000.0 1027.9 1059.1 1080.6 1112.3 1151.2 1182.4 1200.0 1168.8: 31.2 70.1 101.9 111.7 150.6 181.8 213.6 235.1 266.3 298.1 333.0 346.8 378.6 417.5 448.7 466.3 498.0 529.2 568.1 582.5 609.8 652.6 679.9 694.2 733.1 760.4 796.1 813.7 844.9 883.8 915.6 937.1 968.3 996.1 1027.3 1048.8 1080.6 1119.5 1150.7 1168.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 9.8646 .. 42.8359 cents 694575/681472, 32.9713 cents 176/175, 9.8646 cents 2: 41.6313 .. 70.6724 cents 7875/7744, 29.0412 cents 3748096/3750705,-1.2047 cents 3: 79.9646 .. 101.8667 cents 875/864, 21.9020 cents 6912/6875, 9.2922 cents 4: 107.8011 .. 133.6333 cents 8575/8448, 25.8322 cents 15488/15435, 5.9344 cents 5: 126.0985 .. 155.1396 cents 7875/7744, 29.0412 cents 4356/4375,-7.5349 cents 6: 161.0741 .. 189.5428 cents 59535/58564, 28.4688 cents 15488/15435, 5.9344 cents 7: 192.2683 .. 221.3095 cents 7875/7744, 29.0412 cents 42592/42525, 2.7255 cents 8: 227.9651 .. 253.0761 cents 625/616, 25.1110 cents 3388/3375, 6.6556 cents 9: 244.9689 .. 274.5824 cents 3125/3072, 29.6136 cents 15552/15625,-8.1073 cents 10: 276.7355 .. 305.7767 cents 7875/7744, 29.0412 cents 5632/5625, 2.1531 cents 11: 308.5022 .. 336.9709 cents 59535/58564, 28.4688 cents 42592/42525, 2.7255 cents 12: 342.9054 .. 364.8074 cents 875/864, 21.9020 cents 15488/15435, 5.9344 cents 13: 361.2027 .. 390.2439 cents 7875/7744, 29.0412 cents 6237/6250,-3.6047 cents 14: 396.1783 .. 425.2195 cents 7875/7744, 29.0412 cents 15488/15435, 5.9344 cents 15: 427.3726 .. 456.9861 cents 3125/3072, 29.6136 cents 5632/5625, 2.1531 cents 16: 459.1392 .. 488.1804 cents 7875/7744, 29.0412 cents 5632/5625, 2.1531 cents 17: 480.6455 .. 509.6867 cents 7875/7744, 29.0412 cents 4356/4375,-7.5349 cents 18: 507.9096 .. 541.4533 cents 91875/90112, 33.5437 cents 495616/496125,-1.7771 cents 19: 539.6763 .. 575.8565 cents 1913625/1874048, 36.1803 cents 495616/496125,-1.7771 cents 20: 578.0096 .. 607.6232 cents 3125/3072, 29.6136 cents 5632/5625, 2.1531 cents 21: 592.3768 .. 621.9904 cents 3125/3072, 29.6136 cents 15488/15625,-15.2464 cents 22: 624.1435 .. 660.3237 cents 1913625/1874048, 36.1803 cents 5632/5625, 2.1531 cents 23: 658.5467 .. 692.0904 cents 91875/90112, 33.5437 cents 495616/496125,-1.7771 cents 24: 690.3133 .. 719.3545 cents 7875/7744, 29.0412 cents 495616/496125,-1.7771 cents 25: 711.8196 .. 740.8608 cents 7875/7744, 29.0412 cents 4356/4375,-7.5349 cents 26: 743.0139 .. 772.6274 cents 3125/3072, 29.6136 cents 5632/5625, 2.1531 cents 27: 774.7805 .. 803.8217 cents 7875/7744, 29.0412 cents 5632/5625, 2.1531 cents 28: 809.7561 .. 838.7973 cents 7875/7744, 29.0412 cents 15488/15435, 5.9344 cents 29: 835.1926 .. 857.0946 cents 875/864, 21.9020 cents 6237/6250,-3.6047 cents 30: 863.0291 .. 891.4978 cents 59535/58564, 28.4688 cents 15488/15435, 5.9344 cents 31: 894.2233 .. 923.2645 cents 7875/7744, 29.0412 cents 42592/42525, 2.7255 cents 32: 925.4176 .. 955.0311 cents 3125/3072, 29.6136 cents 5632/5625, 2.1531 cents 33: 946.9239 .. 972.0349 cents 625/616, 25.1110 cents 15552/15625,-8.1073 cents 34: 978.6905 .. 1007.7317 cents 7875/7744, 29.0412 cents 3388/3375, 6.6556 cents 35: 1010.4572 .. 1038.9259 cents 59535/58564, 28.4688 cents 42592/42525, 2.7255 cents 36: 1044.8604 .. 1073.9015 cents 7875/7744, 29.0412 cents 15488/15435, 5.9344 cents 37: 1066.3667 .. 1092.1989 cents 8575/8448, 25.8322 cents 4356/4375,-7.5349 cents 38: 1098.1333 .. 1120.0354 cents 875/864, 21.9020 cents 15488/15435, 5.9344 cents 39: 1129.3276 .. 1158.3687 cents 7875/7744, 29.0412 cents 6912/6875, 9.2922 cents 40: 1157.1641 .. 1190.1354 cents 694575/681472, 32.9713 cents 3748096/3750705,-1.2047 cents
SHOW DATA
Number of notes : 41 -- Interval properties -- Smallest interval : 176/175, 9.8646 cents, class 1 Average step (divided formal octave): 29.2683 cents Largest one step interval : 3969/3872, 42.8359 cents Average / Smallest step : 2.967000 Largest / Average step : 1.463561 Largest / Smallest step : 4.342386 Median interval of one step : 56/55, 31.1943 cents, amount: 9 Most common interval of one step : 56/55, 31.1943 cents, amount: 9 Least squares average step : 29.26546 cents, oct.: 1199.88371 cents Scale is not proper Step pattern alph. order: ABCADBEDBFGBADHBDAIJKJIAJLHDABEDMDEBADHBD Step pattern size order : LIALHIEHIJBILHDIHLCFMFCLFKDHLIEHGHEILHDIH Scale is a Constant Structure, by a margin of 0.17665 cents Scale diversity : 1.524272 Lumma stability : 0.106023 Lumma impropriety factor : 0.065273 Number of different interval sizes : 420 = 10.50000 / class Number of one step interval sizes : 13 Highest interval variety : 13 Mean interval variety : 10.50000 = 21/2 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 9801/9800, 0.1766 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 24 Most common triad is 0.0 498.045 701.955 cents, amount: 12 Number of recognisable fifths : 49, average 701.8391 cents Number of appreciable fifths : 39, average 700.6793 cents Scale contains a complete diamond : 1 3 5 9 Length of longest harmonic part : 2 at degree 15 Length of longest subharmonic part : 2 at degree 4 Formal octave complements present : 29 = 70.7317% -- Rational properties -- Prime limit : 11 Odd number limit : 11907 (O: 11907 U: 11907) Highest odd numerator or denominator: 189 Scale harmonicity : 0.010156 Average absolute harmonicity : 0.087944 Specific harmonicity : 0.063477 Fundamental : 1/55440, -15.7586 octaves, 0.0047 Hz. Guide tone : 1663200, 20.6655 octaves, 435135640.209 Hz. Exponens Consonantiae : 9.220781E+10, 36.42417 octaves Euler's gradus suavitatis : 64 Sum of Mann's harmonic distance : 950.0, average 23.17073 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 47.58921, average 1.16071 Sum of Tenney's harmonic distance : 93.79421, average 2.28766 Vogel's harmonic complexity : 33.90244 Wille's k value : 46777 Wilson's harmonic complexity : 66 Rectangular lattice diameter : 12 Triangular lattice diameter : 7 Lattice compactness : 3152.73565, average 3.66171 Lattice compactness (without 2's) : 2178.42341, average 2.53011 Number of different primes : 5 Prime exponents' range, average, count, tones@limit: 2: -4 .. 5 0.02439 63 1 3: -2 .. 3 0.19512 52 5 5: -1 .. 2 0.19512 20 8 7: -1 .. 1 -0.09756 18 7 11: -1 .. 1 0.00000 20 20 Average exponent except 2's : 12 / 41 = 0.29268 Average absolute exponent except 2's: 110 / 41 = 2.68293 Scale is JI-epimorphic with val: <41 65 95 115 142| = patent
FIT/MODE
41: 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: 5.6603 c. M: 12.1358 c. 49: 2 1 0 2 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 2 0 2 1 N D3 SD: 6.9886 c. M: 11.9474 c. 52: 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 2 0 2 1 N D3 SD: 6.3102 c. M:-12.1755 c. 53: 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 2 0 2 1 2 0 2 1 2 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 N D3 SD: 6.4510 c. M:-10.0972 c. 54: 2 1 1 1 2 1 1 2 1 2 0 2 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1 2 1 1 1 2 1 1 2 1 1 2 1 N D3 SD: 6.1704 c. M: 9.3603 c. 56: 2 1 1 2 1 2 1 1 1 2 1 1 2 2 0 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1 2 1 N D3 SD: 6.0659 c. M:-11.0635 c. 58: 2 1 1 2 1 2 1 1 2 2 0 2 2 1 1 2 1 2 1 1 2 1 1 2 1 2 1 1 2 2 1 1 2 1 1 2 2 1 1 2 1 N D3 SD: 5.1492 c. M:-10.5046 c. 61: 2 2 0 2 2 1 1 2 2 1 1 2 2 1 1 2 1 2 1 1 3 1 1 2 1 2 1 1 2 2 1 2 1 2 1 1 2 2 1 1 2 N SD: 5.3376 c. M:-8.5389 c. 63: 2 2 0 2 2 2 1 1 2 2 1 1 2 2 1 2 1 2 1 1 3 1 1 2 1 2 1 2 2 1 2 1 2 1 1 2 2 2 1 1 2 N SD: 5.1321 c. M:-9.3397 c. 65: 2 2 0 2 2 2 1 2 1 2 1 2 2 2 1 1 2 2 1 1 3 1 1 2 1 2 1 2 2 2 1 2 1 2 1 2 2 2 1 1 2 N SD: 4.8189 c. M: 9.2191 c. 69: 2 2 1 2 2 1 2 1 2 2 1 2 2 2 1 2 2 2 1 1 3 1 1 2 2 2 1 2 2 2 1 2 1 2 1 2 3 1 1 2 2 N SD: 4.8206 c. M: 9.0173 c. 71: 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 1 3 1 1 3 1 1 3 1 2 1 2 2 2 2 1 2 2 1 2 2 2 1 2 2 N T3 SD: 4.6480 c. M:-7.9042 c. 72: 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 P M ME I SD: 2.8986 c. M: 5.8650 c. 87: 3 2 1 3 2 2 2 2 2 3 1 2 3 2 2 2 2 3 1 2 3 2 1 3 2 2 2 2 3 2 2 2 2 2 2 2 3 2 1 3 2 N SD: 2.7910 c. M: 6.2952 c. 90: 3 2 1 3 2 3 1 3 2 3 1 2 3 2 2 2 2 3 1 2 4 2 1 3 2 2 2 2 3 2 2 2 2 3 1 3 3 2 1 3 2 N SD: 3.7307 c. M:-5.2487 c. 91: 3 2 1 3 2 3 1 3 2 3 1 2 3 3 1 2 3 3 1 2 3 2 1 3 2 3 1 3 3 2 2 2 2 3 1 3 3 2 1 3 2 N SD: 3.5109 c. M:-6.2368 c. 94: 3 3 0 3 3 2 2 2 3 3 1 2 3 3 1 3 2 3 1 2 4 2 1 3 2 3 1 3 3 2 2 2 3 2 2 2 3 3 1 3 2 N SD: 3.3022 c. M:-5.9233 c. 100: 3 3 1 3 3 2 2 3 2 3 1 3 3 3 1 3 2 4 1 2 4 2 1 3 3 3 1 3 3 3 1 3 2 3 2 2 4 2 2 2 3 N SD: 3.2301 c. M: 6.0450 c. 103: 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 3 2 2 3 2 2 3 3 3 2 2 3 N SD: 3.0887 c. M: 5.8517 c. 106: 3 3 1 4 2 3 2 3 3 3 1 3 3 3 1 3 3 3 2 2 4 2 2 3 2 4 1 3 3 3 2 3 2 3 2 3 3 3 1 3 3 N SD: 2.9976 c. M:-5.0855 c. 117: 4 3 1 4 3 3 2 3 3 3 2 3 4 3 1 4 3 3 2 2 5 2 2 3 3 4 1 3 4 3 2 3 3 3 2 3 4 3 2 3 3 N SD: 2.8783 c. M:-4.9441 c. 118: 4 3 1 4 3 3 2 3 3 4 1 3 4 3 2 3 3 4 1 3 4 3 1 4 3 3 2 3 4 3 2 3 3 3 2 3 4 3 2 3 3 N SD: 1.5027 c. M:-3.2382 c. 152: 5 4 1 5 4 4 3 4 4 4 2 4 5 4 2 4 4 5 2 3 6 3 2 5 3 5 2 4 5 4 3 4 3 4 3 4 5 4 2 4 4 N SD: 1.2480 c. M: 2.9033 c. 159: 5 4 2 5 4 4 3 4 4 5 2 4 5 4 3 4 4 5 2 4 5 4 2 5 4 4 3 4 5 4 3 4 4 4 3 4 5 4 3 4 4 N SD: 1.6096 c. M:-2.8564 c. 183: 6 5 1 6 5 5 3 5 5 5 2 5 6 5 2 5 5 6 2 4 7 4 2 6 4 6 2 5 6 5 3 5 4 5 3 5 6 5 2 5 5 N SD: 1.2458 c. M: 2.6129 c. 204: 7 5 2 6 6 5 4 5 5 6 3 5 7 5 3 5 6 6 3 4 8 4 3 6 5 6 3 5 7 5 4 5 5 5 4 5 7 5 3 6 5 N SD: 1.5512 c. M:-2.3041 c. 205: 7 5 2 6 6 5 4 5 6 6 2 5 7 5 3 6 5 7 2 5 7 5 2 7 5 6 3 5 7 5 4 5 5 5 4 5 7 5 3 6 5 N SD: 1.4489 c. M:-2.5437 c. 224: 7 6 2 7 6 6 4 6 6 6 3 6 7 6 3 6 6 7 3 5 8 5 3 7 5 7 3 6 7 6 4 6 5 6 4 6 7 6 3 6 6 N SD: 0.7886 c. M: 1.8465 c. 270: 9 7 2 9 7 7 5 7 7 8 3 7 9 7 4 7 7 9 3 6 10 6 3 9 6 8 4 7 9 7 5 7 6 7 5 7 9 7 4 7 7 N SD: 0.5188 c. M:-1.0942 c. 342: 11 9 3 11 9 9 6 9 9 10 4 9 11 9 5 9 9 11 4 8 12 8 4 11 8 10 5 9 11 9 6 9 8 9 6 9 11 9 5 9 9 N SD: 0.2821 c. M:-0.6055 c. 612: 20 16 5 20 16 16 11 16 16 18 7 16 20 16 9 16 16 20 7 14 22 14 7 20 14 18 9 16 20 16 11 16 14 16 11 16 20 16 9 16 16 N SD: 0.1954 c. M: 0.3491 c. 836: 27 22 7 27 22 22 15 22 22 24 10 22 27 22 12 22 22 27 10 19 30 19 10 27 19 25 12 22 27 22 15 22 19 22 15 22 27 22 12 22 22 N SD: 0.1887 c. M: 0.4111 c. 954: 31 25 8 31 25 25 17 25 25 28 11 25 31 25 14 25 25 31 11 22 34 22 11 31 22 28 14 25 31 25 17 25 22 25 17 25 31 25 14 25 25 N SD: 0.1741 c. M: 0.3745 c. 1236: 40 33 10 40 32 33 22 32 33 36 14 33 40 32 18 33 32 40 15 28 44 28 15 40 28 37 18 32 40 33 22 32 29 32 22 33 40 32 18 33 32 N SD: 0.1085 c. M:-0.2014 c. 1506: 49 40 12 49 39 40 27 39 40 44 17 40 49 39 22 40 39 49 18 34 54 34 18 49 34 45 22 39 49 40 27 39 35 39 27 40 49 39 22 40 39 N SD: 0.0915 c. M:-0.2439 c. 1547: 50 41 13 50 40 41 28 40 41 45 18 41 50 40 23 41 40 50 19 35 55 35 19 50 35 46 23 40 50 41 28 40 36 40 28 41 50 40 23 41 40 N SD: 0.1134 c. M: 0.2011 c. 1578: 51 42 13 51 41 42 28 41 42 46 18 42 51 41 23 42 41 51 19 36 56 36 19 51 36 47 23 41 51 42 28 41 37 41 28 42 51 41 23 42 41 N SD: 0.0880 c. M: 0.1771 c. 1848: 60 49 15 60 48 49 33 48 49 54 21 49 60 48 27 49 48 60 22 42 66 42 22 60 42 55 27 48 60 49 33 48 43 48 33 49 60 48 27 49 48 N SD: 0.0407 c. M:-0.1068 c. 2342: 76 62 19 76 61 62 42 61 62 68 27 62 76 61 34 62 61 76 28 53 84 53 28 76 53 70 34 61 76 62 42 61 54 61 42 62 76 61 34 62 61 N SD: 0.0554 c. M: 0.1021 c. 2684: 87 71 22 87 70 71 48 70 71 78 31 71 87 70 39 71 70 87 32 61 96 61 32 87 61 80 39 70 87 71 48 70 62 70 48 71 87 70 39 71 70 N SD: 0.0480 c. M: 0.1023 c. 3395: 110 90 28 110 88 90 61 88 90 99 39 90 110 88 50 90 88 110 41 77 121 77 41 110 77 101 50 88 110 90 61 88 79 88 61 90 110 88 50 90 88 N SD: 0.0446 c. M:-0.0897 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: 0.9825 cents 5 .. 10 match: 5 H SD: 0.7860 cents 6 .. 12 match: 6 H SD: 0.0000 cents 7 .. 14 match: 7 H SD: 2.5587 cents 8 .. 16 match: 8 H SD: 1.5861 cents 9 .. 18 match: 9 H SD: 1.9525 cents 10 .. 20 match: 10 H SD: 2.4761 cents 11 .. 22 match: 11 H SD: 2.1833 cents 12 .. 24 match: 12 H SD: 2.2329 cents 13 .. 26 match: 13 H SD: 2.8623 cents 14 .. 28 match: 14 H SD: 1.7825 cents 15 .. 30 match: 15 H SD: 1.7129 cents 16 .. 32 match: 16 H SD: 1.6760 cents 17 .. 34 match: 17 H SD: 2.9838 cents 18 .. 36 match: 18 H SD: 1.7438 cents 19 .. 38 match: 19 H SD: 2.2510 cents 20 .. 40 match: 20 H SD: 2.0451 cents 21 .. 42 match: 21 H SD: 1.9129 cents 22 .. 44 match: 22 H SD: 1.7783 cents 23 .. 46 match: 23 H SD: 1.8383 cents 24 .. 48 match: 24 H SD: 1.6263 cents 25 .. 50 match: 25 H SD: 1.6120 cents 26 .. 52 match: 26 H SD: 1.8793 cents 27 .. 54 match: 27 H SD: 1.7528 cents 28 .. 56 match: 27 SD: 1.5483 cents 29 .. 58 match: 29 H SD: 1.9309 cents 30 .. 60 match: 30 H SD: 1.4433 cents 31 .. 62 match: 30 SD: 1.6211 cents 32 .. 64 match: 32 H SD: 1.3748 cents 33 .. 66 match: 31 SD: 1.5347 cents 34 .. 68 match: 31 SD: 1.8393 cents 35 .. 70 match: 33 SD: 1.2949 cents 36 .. 72 match: 33 SD: 1.2134 cents 37 .. 74 match: 31 SD: 1.6924 cents 38 .. 76 match: 33 SD: 1.4767 cents 39 .. 78 match: 33 SD: 1.4131 cents 40 .. 80 match: 36 SD: 1.1516 cents 41 .. 82 match: 34 SD: 1.1955 cents 42 .. 84 match: 37 SD: 1.0116 cents 43 .. 86 match: 36 SD: 1.3154 cents 44 .. 88 match: 38 SD: 1.1971 cents 45 .. 90 match: 39 SD: 1.1786 cents 46 .. 92 match: 35 SD: 1.1383 cents 47 .. 94 match: 38 SD: 1.1486 cents 48 .. 96 match: 38 SD: 1.0517 cents 49 .. 98 match: 38 SD: 1.1235 cents 50 .. 100 match: 36 SD: 1.1988 cents 51 .. 102 match: 37 SD: 1.1788 cents 52 .. 104 match: 38 SD: 1.1388 cents 53 .. 106 match: 41 SD: 1.0534 cents 54 .. 108 match: 38 SD: 0.9011 cents 55 .. 110 match: 40 SD: 0.8631 cents 56 .. 112 match: 40 SD: 0.9172 cents 57 .. 114 match: 38 SD: 1.0516 cents 58 .. 116 match: 41 SD: 0.9651 cents 59 .. 118 match: 40 SD: 1.0388 cents 60 .. 120 match: 40 SD: 0.9545 cents 61 .. 122 match: 37 SD: 0.9899 cents 62 .. 124 match: 38 SD: 0.9953 cents 63 .. 126 match: 39 SD: 0.8817 cents 64 .. 128 match: 40 SD: 0.8669 cents 65 .. 130 match: 38 SD: 0.9211 cents 66 .. 132 match: 39 SD: 0.8568 cents 67 .. 134 match: 39 SD: 0.8439 cents 68 .. 136 match: 39 SD: 0.8589 cents 69 .. 138 match: 40 SD: 0.8616 cents 70 .. 140 match: 40 SD: 0.7985 cents 71 .. 142 match: 39 SD: 0.7693 cents 72 .. 144 match: 39 SD: 0.7250 cents 73 .. 146 match: 39 SD: 0.7878 cents 74 .. 148 match: 41 SD: 0.7545 cents 76 .. 152 match: 40 SD: 0.8481 cents 77 .. 154 match: 40 SD: 0.7112 cents 80 .. 160 match: 41 SD: 0.6037 cents 82 .. 164 match: 40 SD: 0.7217 cents 83 .. 166 match: 41 SD: 0.6935 cents 84 .. 168 match: 40 SD: 0.5996 cents 85 .. 170 match: 40 SD: 0.6193 cents 86 .. 172 match: 40 SD: 0.6347 cents 87 .. 174 match: 39 SD: 0.6959 cents 88 .. 176 match: 40 SD: 0.5071 cents 89 .. 178 match: 40 SD: 0.6363 cents 90 .. 180 match: 40 SD: 0.4926 cents 91 .. 182 match: 40 SD: 0.6112 cents 92 .. 184 match: 39 SD: 0.7264 cents 93 .. 186 match: 40 SD: 0.6789 cents 94 .. 188 match: 40 SD: 0.6063 cents 95 .. 190 match: 41 SD: 0.5617 cents 96 .. 192 match: 41 SD: 0.4866 cents 108 .. 216 match: 40 SD: 0.5448 cents 109 .. 218 match: 40 SD: 0.4886 cents 110 .. 220 match: 40 SD: 0.4823 cents 111 .. 222 match: 40 SD: 0.5160 cents 112 .. 224 match: 40 SD: 0.5046 cents 113 .. 226 match: 40 SD: 0.5081 cents 114 .. 228 match: 40 SD: 0.4989 cents 115 .. 230 match: 40 SD: 0.5011 cents 118 .. 236 match: 41 SD: 0.4960 cents 120 .. 240 match: 41 SD: 0.4272 cents 125 .. 250 match: 41 SD: 0.4229 cents 126 .. 252 match: 41 SD: 0.3661 cents 132 .. 264 match: 40 SD: 0.4115 cents 133 .. 266 match: 40 SD: 0.4656 cents 134 .. 268 match: 40 SD: 0.4655 cents 135 .. 270 match: 40 SD: 0.3894 cents 136 .. 272 match: 40 SD: 0.3864 cents 143 .. 286 match: 41 SD: 0.3226 cents 144 .. 288 match: 41 SD: 0.3066 cents 156 .. 312 match: 40 SD: 0.3834 cents 157 .. 314 match: 40 SD: 0.3664 cents 162 .. 324 match: 41 SD: 0.3272 cents 165 .. 330 match: 41 SD: 0.3155 cents 167 .. 334 match: 41 SD: 0.3107 cents 168 .. 336 match: 41 SD: 0.2717 cents 184 .. 368 match: 41 SD: 0.2713 cents 185 .. 370 match: 41 SD: 0.2648 cents 206 .. 412 match: 41 SD: 0.2558 cents 209 .. 418 match: 41 SD: 0.2488 cents 210 .. 420 match: 41 SD: 0.2302 cents 216 .. 432 match: 41 SD: 0.2195 cents 234 .. 468 match: 41 SD: 0.2053 cents 240 .. 480 match: 41 SD: 0.2024 cents 252 .. 504 match: 41 SD: 0.1950 cents 264 .. 528 match: 41 SD: 0.1721 cents 288 .. 576 match: 41 SD: 0.1658 cents 294 .. 588 match: 41 SD: 0.1553 cents 311 .. 622 match: 41 SD: 0.1549 cents 319 .. 638 match: 41 SD: 0.1537 cents 330 .. 660 match: 41 SD: 0.1512 cents 336 .. 672 match: 41 SD: 0.1264 cents 360 .. 720 match: 41 SD: 0.1237 cents 405 .. 810 match: 41 SD: 0.1212 cents 426 .. 852 match: 41 SD: 0.1186 cents 432 .. 864 match: 41 SD: 0.1078 cents 440 .. 880 match: 41 SD: 0.1052 cents 480 .. 960 match: 41 SD: 0.1001 cents 504 .. 1008 match: 41 SD: 0.0740 cents