Scala analysis: partch-41combo
41-tone JI combination from Partch's 29-tone and 37-tone scales
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 49/48 35.696812 slendro diesis, septimal 1/6-tone 2: 33/32 53.272943 undecimal comma, al-Farabi's 1/4-tone 3: 22/21 80.537035 undecimal minor semitone 4: 21/20 84.467193 minor semitone 5: 16/15 111.731285 minor diatonic semitone 6: 15/14 119.442808 major diatonic semitone 7: 12/11 150.637059 undecimal neutral second, 3/4-tone 8: 11/10 165.004228 Ptolemy's second, 4/5-tone 9: 10/9 182.403712 minor whole tone 10: 9/8 203.910002 major whole tone 11: 8/7 231.174094 septimal whole tone 12: 7/6 266.870906 septimal minor third 13: 6/5 315.641287 minor third 14: 11/9 347.407941 undecimal neutral third 15: 5/4 386.313714 major third 16: 14/11 417.507964 undecimal diminished fourth or major third 17: 9/7 435.084095 septimal major third, BP third 18: 4/3 498.044999 perfect fourth 19: 11/8 551.317942 undecimal semi-augmented fourth 20: 7/5 582.512193 septimal or Huygens' tritone, BP fourth 21: 10/7 617.487807 Euler's tritone 22: 16/11 648.682058 undecimal semi-diminished fifth 23: 3/2 701.955001 perfect fifth 24: 14/9 764.915905 septimal minor sixth 25: 11/7 782.492036 undecimal augmented fifth 26: 8/5 813.686286 minor sixth 27: 18/11 852.592059 undecimal neutral sixth 28: 5/3 884.358713 major sixth, BP sixth 29: 12/7 933.129094 septimal major sixth 30: 7/4 968.825906 harmonic seventh 31: 16/9 996.089998 Pythagorean minor seventh 32: 9/5 1017.596288 just minor seventh, BP seventh 33: 20/11 1034.995772 large minor seventh 34: 11/6 1049.362941 undecimal neutral seventh, 21/4-tone 35: 28/15 1080.557192 grave major seventh 36: 15/8 1088.268715 classic major seventh 37: 40/21 1115.532807 acute major seventh 38: 21/11 1119.462965 undecimal major seventh 39: 64/33 1146.727057 33rd subharmonic 40: 96/49 1164.303188 41: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 49/48 35.6968 slendro diesis, septimal 1/6-tone 1: 49/48 35.6968 slendro diesis, septimal 1/6-tone 2: 99/98 17.5761 small undecimal comma 3: 64/63 27.2641 septimal comma, Archytas' comma 4: 441/440 3.9302 Werckmeister's undecimal septenarian schisma 5: 64/63 27.2641 septimal comma, Archytas' comma 6: 225/224 7.7115 septimal kleisma 7: 56/55 31.1943 undecimal diesis, konbini comma 8: 121/120 14.3672 undecimal seconds comma, biyatisma 9: 100/99 17.3995 Ptolemy's comma 10: 81/80 21.5063 syntonic comma, Didymus comma 11: 64/63 27.2641 septimal comma, Archytas' comma 12: 49/48 35.6968 slendro diesis, septimal 1/6-tone 13: 36/35 48.7704 septimal diesis, 1/4-tone 14: 55/54 31.7667 telepathma 15: 45/44 38.9058 1/5-tone 16: 56/55 31.1943 undecimal diesis, konbini comma 17: 99/98 17.5761 small undecimal comma 18: 28/27 62.9609 Archytas' 1/3-tone 19: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 20: 56/55 31.1943 undecimal diesis, konbini comma 21: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 22: 56/55 31.1943 undecimal diesis, konbini comma 23: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 24: 28/27 62.9609 Archytas' 1/3-tone 25: 99/98 17.5761 small undecimal comma 26: 56/55 31.1943 undecimal diesis, konbini comma 27: 45/44 38.9058 1/5-tone 28: 55/54 31.7667 telepathma 29: 36/35 48.7704 septimal diesis, 1/4-tone 30: 49/48 35.6968 slendro diesis, septimal 1/6-tone 31: 64/63 27.2641 septimal comma, Archytas' comma 32: 81/80 21.5063 syntonic comma, Didymus comma 33: 100/99 17.3995 Ptolemy's comma 34: 121/120 14.3672 undecimal seconds comma, biyatisma 35: 56/55 31.1943 undecimal diesis, konbini comma 36: 225/224 7.7115 septimal kleisma 37: 64/63 27.2641 septimal comma, Archytas' comma 38: 441/440 3.9302 Werckmeister's undecimal septenarian schisma 39: 64/63 27.2641 septimal comma, Archytas' comma 40: 99/98 17.5761 small undecimal comma 41: 49/48 35.6968 slendro diesis, septimal 1/6-tone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 441/440 3.930 cents Werckmeister's undecimal septenarian schisma 1: 2 225/224 7.712 cents septimal kleisma 1: 2 121/120 14.367 cents undecimal seconds comma, biyatisma 1: 2 100/99 17.399 cents Ptolemy's comma 1: 4 99/98 17.576 cents small undecimal comma 1: 2 81/80 21.506 cents syntonic comma, Didymus comma 1: 6 64/63 27.264 cents septimal comma, Archytas' comma 1: 6 56/55 31.194 cents undecimal diesis, konbini comma 1: 2 55/54 31.767 cents telepathma 1: 1 50/49 34.976 cents Erlich's decatonic comma, tritonic diesis 1: 4 49/48 35.697 cents slendro diesis, septimal 1/6-tone 1: 2 45/44 38.906 cents 1/5-tone 1: 2 36/35 48.770 cents septimal diesis, 1/4-tone 1: 2 33/32 53.273 cents undecimal comma, al-Farabi's 1/4-tone 1: 2 28/27 62.961 cents Archytas' 1/3-tone 2: 4 56/55 31.194 cents undecimal diesis, konbini comma 2: 2 55/54 31.767 cents telepathma 2: 2 50/49 34.976 cents Erlich's decatonic comma, tritonic diesis 2: 4 45/44 38.906 cents 1/5-tone 2: 2 352/343 44.840 cents supracomma 2: 2 77/75 45.561 cents 2: 4 36/35 48.770 cents septimal diesis, 1/4-tone 2: 2 33/32 53.273 cents undecimal comma, al-Farabi's 1/4-tone 2: 2 28/27 62.961 cents Archytas' 1/3-tone 2: 2 80/77 66.170 cents 2: 2 126/121 70.100 cents 2: 2 25/24 70.672 cents classic chromatic semitone, minor chroma 2: 1 2401/2304 71.394 cents two (slendro diesis, septimal 1/6-tone) 2: 4 22/21 80.537 cents undecimal minor semitone 2: 4 21/20 84.467 cents minor semitone 2: 2 77/72 116.234 cents undecimal secor 3: 2 45/44 38.906 cents 1/5-tone 3: 2 36/35 48.770 cents septimal diesis, 1/4-tone 3: 4 33/32 53.273 cents undecimal comma, al-Farabi's 1/4-tone 3: 2 512/495 58.458 cents 3: 2 28/27 62.961 cents Archytas' 1/3-tone 3: 4 80/77 66.170 cents 3: 2 22/21 80.537 cents undecimal minor semitone 3: 2 21/20 84.467 cents minor semitone 3: 2 81/77 87.676 cents 3: 2 539/512 88.970 cents 3: 1 128/121 97.364 cents undecimal semitone 3: 2 35/33 101.867 cents 3: 4 16/15 111.731 cents minor diatonic semitone 3: 2 77/72 116.234 cents undecimal secor 3: 4 15/14 119.443 cents major diatonic semitone 3: 2 121/112 133.810 cents 3: 2 49/45 147.428 cents BP minor semitone 4: 2 80/77 66.170 cents 4: 2 126/121 70.100 cents 4: 2 25/24 70.672 cents classic chromatic semitone, minor chroma 4: 2 256/245 76.034 cents septimal minor semitone 4: 4 22/21 80.537 cents undecimal minor semitone 4: 4 21/20 84.467 cents minor semitone 4: 2 35/33 101.867 cents 4: 1 1089/1024 106.546 cents two (undecimal comma, al-Farabi's 1/4-tone) 4: 2 77/72 116.234 cents undecimal secor 4: 2 15/14 119.443 cents major diatonic semitone 4: 2 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 4: 2 88/81 143.498 cents 2nd undecimal neutral second 4: 6 12/11 150.637 cents undecimal neutral second, 3/4-tone 4: 2 35/32 155.140 cents septimal neutral second 4: 4 11/10 165.004 cents Ptolemy's second, 4/5-tone 4: 2 10/9 182.404 cents minor whole tone 5: 2 360/343 83.746 cents 5: 2 21/20 84.467 cents minor semitone 5: 2 135/128 92.179 cents major chroma, major limma 5: 2 128/121 97.364 cents undecimal semitone 5: 2 200/189 97.937 cents 5: 4 16/15 111.731 cents minor diatonic semitone 5: 2 77/72 116.234 cents undecimal secor 5: 2 343/320 120.164 cents 5: 2 121/112 133.810 cents 5: 2 12/11 150.637 cents undecimal neutral second, 3/4-tone 5: 2 11/10 165.004 cents Ptolemy's second, 4/5-tone 5: 2 54/49 168.213 cents Zalzal's mujannab 5: 4 10/9 182.404 cents minor whole tone 5: 2 49/44 186.334 cents undecimal minor whole tone 5: 2 28/25 196.198 cents middle second 5: 2 55/49 199.980 cents quasi-equal major second 5: 3 9/8 203.910 cents major whole tone 5: 2 112/99 213.598 cents 6: 2 35/33 101.867 cents 6: 2 16/15 111.731 cents minor diatonic semitone 6: 2 576/539 114.940 cents 6: 6 15/14 119.443 cents major diatonic semitone 6: 2 693/640 137.740 cents 6: 4 49/45 147.428 cents BP minor semitone 6: 1 484/441 161.074 cents two (undecimal minor semitone) 6: 2 11/10 165.004 cents Ptolemy's second, 4/5-tone 6: 2 10/9 182.404 cents minor whole tone 6: 4 9/8 203.910 cents major whole tone 6: 2 112/99 213.598 cents 6: 6 8/7 231.174 cents septimal whole tone 6: 2 63/55 235.104 cents 6: 2 55/48 235.677 cents undecimal semi-augmented whole tone 6: 2 7/6 266.871 cents septimal minor third 7: 2 189/176 123.373 cents 7: 2 320/297 129.131 cents 7: 2 264/245 129.307 cents 7: 2 160/147 146.707 cents 7: 2 12/11 150.637 cents undecimal neutral second, 3/4-tone 7: 4 35/32 155.140 cents septimal neutral second 7: 4 11/10 165.004 cents Ptolemy's second, 4/5-tone 7: 2 28/25 196.198 cents middle second 7: 2 121/108 196.771 cents 7: 2 25/22 221.309 cents undecimal acute whole tone 7: 2 8/7 231.174 cents septimal whole tone 7: 2 63/55 235.104 cents 7: 2 64/55 262.368 cents 7: 4 7/6 266.871 cents septimal minor third 7: 2 90/77 270.080 cents 7: 4 33/28 284.447 cents undecimal minor third 7: 1 98/81 329.832 cents 8: 2 160/147 146.707 cents 8: 4 12/11 150.637 cents undecimal neutral second, 3/4-tone 8: 2 11/10 165.004 cents Ptolemy's second, 4/5-tone 8: 1 441/400 168.934 cents two (minor semitone) 8: 2 495/448 172.716 cents 8: 2 10/9 182.404 cents minor whole tone 8: 2 49/44 186.334 cents undecimal minor whole tone 8: 2 352/315 192.268 cents 8: 2 9/8 203.910 cents major whole tone 8: 2 154/135 227.965 cents 8: 2 55/48 235.677 cents undecimal semi-augmented whole tone 8: 2 140/121 252.504 cents 8: 2 81/70 252.680 cents Al-Hwarizmi's lute middle finger 8: 2 32/27 294.135 cents Pythagorean minor third 8: 2 144/121 301.274 cents two (undecimal neutral second, 3/4-tone) 8: 2 25/21 301.847 cents BP second, quasi-equal minor third 8: 4 6/5 315.641 cents minor third 8: 2 77/64 320.144 cents Keemun minor third 8: 2 11/9 347.408 cents undecimal neutral third 9: 2 54/49 168.213 cents Zalzal's mujannab 9: 2 256/231 177.901 cents 9: 2 10/9 182.404 cents minor whole tone 9: 2 49/44 186.334 cents undecimal minor whole tone 9: 2 28/25 196.198 cents middle second 9: 2 55/49 199.980 cents quasi-equal major second 9: 2 539/480 200.701 cents 9: 2 9/8 203.910 cents major whole tone 9: 2 8/7 231.174 cents septimal whole tone 9: 2 55/48 235.677 cents undecimal semi-augmented whole tone 9: 4 7/6 266.871 cents septimal minor third 9: 2 90/77 270.080 cents 9: 2 6/5 315.641 cents minor third 9: 2 40/33 333.041 cents 9: 2 11/9 347.408 cents undecimal neutral third 9: 2 60/49 350.617 cents smaller approximation to neutral third 9: 2 49/40 351.338 cents larger approximation to neutral third 9: 2 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 9: 1 121/98 364.984 cents 9: 2 56/45 378.602 cents septimal narrow major third 10: 2 384/343 195.477 cents 10: 4 9/8 203.910 cents major whole tone 10: 2 112/99 213.598 cents 10: 2 245/216 218.101 cents 10: 2 363/320 218.277 cents 10: 1 256/225 223.463 cents Neapolitan diminished third 10: 2 8/7 231.174 cents septimal whole tone 10: 2 63/55 235.104 cents 10: 2 220/189 262.941 cents 10: 2 75/64 274.582 cents classic augmented second 10: 2 33/28 284.447 cents undecimal minor third 10: 2 196/165 298.065 cents 10: 2 40/33 333.041 cents 10: 2 99/80 368.914 cents 10: 2 56/45 378.602 cents septimal narrow major third 10: 2 96/77 381.811 cents 10: 4 5/4 386.314 cents major third 10: 2 44/35 396.178 cents 10: 2 14/11 417.508 cents undecimal diminished fourth or major third 11: 6 8/7 231.174 cents septimal whole tone 11: 2 63/55 235.104 cents 11: 2 55/48 235.677 cents undecimal semi-augmented whole tone 11: 2 147/128 239.607 cents 11: 2 121/105 245.541 cents 11: 2 64/55 262.368 cents 11: 2 7/6 266.871 cents septimal minor third 11: 2 25/21 301.847 cents BP second, quasi-equal minor third 11: 2 105/88 305.777 cents 11: 2 6/5 315.641 cents minor third 11: 2 11/9 347.408 cents undecimal neutral third 11: 2 5/4 386.314 cents major third 11: 2 63/50 400.108 cents quasi-equal major third 11: 2 80/63 413.578 cents wide major third 11: 2 14/11 417.508 cents undecimal diminished fourth or major third 11: 1 32/25 427.373 cents classic diminished fourth 11: 4 9/7 435.084 cents septimal major third, BP third 11: 2 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 12: 1 225/196 238.886 cents two (major diatonic semitone) 12: 2 231/200 249.471 cents 5/4-tone 12: 2 297/256 257.183 cents 12: 2 64/55 262.368 cents 12: 2 220/189 262.941 cents 12: 4 7/6 266.871 cents septimal minor third 12: 2 288/245 279.944 cents 12: 2 32/27 294.135 cents Pythagorean minor third 12: 2 105/88 305.777 cents 12: 2 135/112 323.353 cents septimal wide minor third 12: 2 40/33 333.041 cents 12: 2 56/45 378.602 cents septimal narrow major third 12: 2 121/96 400.681 cents 12: 2 14/11 417.508 cents undecimal diminished fourth or major third 12: 2 9/7 435.084 cents septimal major third, BP third 12: 2 128/99 444.772 cents 12: 2 72/55 466.278 cents undecimal semi-diminished fourth 12: 2 55/42 466.851 cents 12: 2 21/16 470.781 cents narrow fourth 12: 2 4/3 498.045 cents perfect fourth 13: 2 7/6 266.871 cents septimal minor third 13: 2 90/77 270.080 cents 13: 2 88/75 276.736 cents 13: 4 33/28 284.447 cents undecimal minor third 13: 2 343/288 302.568 cents 13: 2 176/147 311.711 cents 13: 2 6/5 315.641 cents minor third 13: 2 40/33 333.041 cents 13: 2 147/121 336.971 cents 13: 2 60/49 350.617 cents smaller approximation to neutral third 13: 2 5/4 386.314 cents major third 13: 4 77/60 431.875 cents 13: 2 100/77 452.484 cents 13: 2 72/55 466.278 cents undecimal semi-diminished fourth 13: 4 4/3 498.045 cents perfect fourth 13: 1 162/121 505.184 cents 13: 2 66/49 515.621 cents 13: 2 49/36 533.742 cents Arabic lute acute fourth 14: 2 33/28 284.447 cents undecimal minor third 14: 2 189/160 288.377 cents 14: 2 32/27 294.135 cents Pythagorean minor third 14: 1 144/121 301.274 cents two (undecimal neutral second, 3/4-tone) 14: 2 176/147 311.711 cents 14: 2 77/64 320.144 cents Keemun minor third 14: 2 11/9 347.408 cents undecimal neutral third 14: 2 60/49 350.617 cents smaller approximation to neutral third 14: 2 49/40 351.338 cents larger approximation to neutral third 14: 2 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 14: 2 448/363 364.235 cents 14: 2 80/63 413.578 cents wide major third 14: 2 165/128 439.587 cents 14: 2 98/75 463.069 cents 14: 2 55/42 466.851 cents 14: 2 160/121 483.678 cents 14: 2 27/20 519.551 cents acute fourth 14: 2 15/11 536.951 cents undecimal augmented fourth 14: 2 48/35 546.815 cents septimal semi-augmented fourth 14: 2 11/8 551.318 cents undecimal semi-augmented fourth 14: 2 112/81 561.006 cents 15: 2 25/21 301.847 cents BP second, quasi-equal minor third 15: 6 6/5 315.641 cents minor third 15: 2 11/9 347.408 cents undecimal neutral third 15: 2 99/80 368.914 cents 15: 4 96/77 381.811 cents 15: 2 539/432 383.105 cents 15: 2 5/4 386.314 cents major third 15: 2 14/11 417.508 cents undecimal diminished fourth or major third 15: 2 55/42 466.851 cents 15: 2 21/16 470.781 cents narrow fourth 15: 4 4/3 498.045 cents perfect fourth 15: 2 15/11 536.951 cents undecimal augmented fourth 15: 1 25/18 568.717 cents classic augmented fourth 15: 2 88/63 578.582 cents 15: 4 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 15: 2 108/77 585.721 cents 16: 2 135/112 323.353 cents septimal wide minor third 16: 1 121/100 330.008 cents two (Ptolemy's second, 4/5-tone) 16: 2 40/33 333.041 cents 16: 2 128/105 342.905 cents septimal neutral third 16: 2 49/40 351.338 cents larger approximation to neutral third 16: 2 44/35 396.178 cents 16: 2 432/343 399.387 cents 16: 2 121/96 400.681 cents 16: 2 14/11 417.508 cents undecimal diminished fourth or major third 16: 2 245/192 422.011 cents 16: 2 128/99 444.772 cents 16: 2 21/16 470.781 cents narrow fourth 16: 2 4/3 498.045 cents perfect fourth 16: 2 75/56 505.757 cents marvelous fourth 16: 2 224/165 529.239 cents 16: 2 11/8 551.318 cents undecimal semi-augmented fourth 16: 2 140/99 599.912 cents quasi-equal tritone 16: 2 99/70 600.088 cents 2nd quasi-equal tritone 16: 2 64/45 609.776 cents 2nd tritone 16: 2 10/7 617.488 cents Euler's tritone 16: 2 63/44 621.418 cents 17: 2 11/9 347.408 cents undecimal neutral third 17: 2 60/49 350.617 cents smaller approximation to neutral third 17: 2 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 17: 2 56/45 378.602 cents septimal narrow major third 17: 2 63/50 400.108 cents quasi-equal major third 17: 2 242/189 427.945 cents 17: 2 9/7 435.084 cents septimal major third, BP third 17: 2 165/128 439.587 cents 17: 2 343/264 453.205 cents 17: 2 64/49 462.348 cents 2 septatones or septatonic major third 17: 2 4/3 498.045 cents perfect fourth 17: 2 147/110 501.975 cents 17: 2 200/147 533.021 cents 17: 2 15/11 536.951 cents undecimal augmented fourth 17: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 17: 2 77/54 614.279 cents 17: 2 10/7 617.488 cents Euler's tritone 17: 2 36/25 631.283 cents classic diminished fifth 17: 2 16/11 648.682 cents undecimal semi-diminished fifth 17: 2 35/24 653.185 cents septimal semi-diminished fifth 17: 1 72/49 666.258 cents Arabic lute grave fifth 18: 1 100/81 364.807 cents grave major third 18: 2 99/80 368.914 cents 18: 2 96/77 381.811 cents 18: 2 5/4 386.314 cents major third 18: 2 32/25 427.373 cents classic diminished fourth 18: 2 77/60 431.875 cents 18: 2 55/42 466.851 cents 18: 4 21/16 470.781 cents narrow fourth 18: 2 4/3 498.045 cents perfect fourth 18: 2 66/49 515.621 cents 18: 2 224/165 529.239 cents 18: 2 15/11 536.951 cents undecimal augmented fourth 18: 2 320/231 564.215 cents 18: 2 45/32 590.224 cents diatonic tritone 18: 2 121/84 631.855 cents 18: 2 196/135 645.473 cents 18: 2 16/11 648.682 cents undecimal semi-diminished fifth 18: 2 81/55 670.188 cents 18: 2 40/27 680.449 cents grave fifth 18: 2 3/2 701.955 cents perfect fifth 19: 2 5/4 386.314 cents major third 19: 2 44/35 396.178 cents 19: 2 14/11 417.508 cents undecimal diminished fourth or major third 19: 2 9/7 435.084 cents septimal major third, BP third 19: 2 176/135 459.139 cents 19: 2 21/16 470.781 cents narrow fourth 19: 2 297/224 488.357 cents 19: 2 4/3 498.045 cents perfect fourth 19: 2 49/36 533.742 cents Arabic lute acute fourth 19: 2 48/35 546.815 cents septimal semi-augmented fourth 19: 2 11/8 551.318 cents undecimal semi-augmented fourth 19: 2 320/231 564.215 cents 19: 2 168/121 568.145 cents 19: 2 10/7 617.488 cents Euler's tritone 19: 2 35/24 653.185 cents septimal semi-diminished fifth 19: 4 22/15 663.049 cents undecimal diminished fifth 19: 2 180/121 687.588 cents 19: 2 3/2 701.955 cents perfect fifth 19: 2 32/21 729.219 cents wide fifth 19: 1 49/32 737.652 cents 20: 1 81/64 407.820 cents Pythagorean major third 20: 2 80/63 413.578 cents wide major third 20: 2 77/60 431.875 cents 20: 2 72/55 466.278 cents undecimal semi-diminished fourth 20: 2 55/42 466.851 cents 20: 2 4/3 498.045 cents perfect fourth 20: 2 147/110 501.975 cents 20: 2 66/49 515.621 cents 20: 2 11/8 551.318 cents undecimal semi-augmented fourth 20: 2 480/343 581.791 cents 20: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 20: 2 539/384 587.015 cents 20: 2 512/363 595.409 cents 20: 2 63/44 621.418 cents 20: 2 165/112 670.761 cents 20: 2 40/27 680.449 cents grave fifth 20: 2 112/75 694.243 cents marvelous fifth 20: 2 3/2 701.955 cents perfect fifth 20: 2 50/33 719.354 cents 3 pentatones 20: 2 54/35 750.725 cents septimal semi-augmented fifth 20: 2 14/9 764.916 cents septimal minor sixth 21: 2 9/7 435.084 cents septimal major third, BP third 21: 2 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 21: 2 33/25 480.646 cents 2 pentatones 21: 2 4/3 498.045 cents perfect fourth 21: 2 75/56 505.757 cents marvelous fourth 21: 2 27/20 519.551 cents acute fourth 21: 2 224/165 529.239 cents 21: 2 88/63 578.582 cents 21: 2 363/256 604.591 cents 21: 2 768/539 612.985 cents 21: 2 10/7 617.488 cents Euler's tritone 21: 2 343/240 618.209 cents 21: 2 16/11 648.682 cents undecimal semi-diminished fifth 21: 2 49/33 684.379 cents 21: 2 220/147 698.025 cents 21: 2 3/2 701.955 cents perfect fifth 21: 2 84/55 733.149 cents 21: 2 55/36 733.722 cents undecimal semi-augmented fifth 21: 2 120/77 768.125 cents 21: 2 63/40 786.422 cents narrow minor sixth 21: 1 128/81 792.180 cents Pythagorean minor sixth 22: 1 64/49 462.348 cents 2 septatones or septatonic major third 22: 2 21/16 470.781 cents narrow fourth 22: 2 4/3 498.045 cents perfect fourth 22: 2 121/90 512.412 cents 22: 4 15/11 536.951 cents undecimal augmented fourth 22: 2 48/35 546.815 cents septimal semi-augmented fourth 22: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 22: 2 121/84 631.855 cents 22: 2 231/160 635.785 cents 22: 2 16/11 648.682 cents undecimal semi-diminished fifth 22: 2 35/24 653.185 cents septimal semi-diminished fifth 22: 2 72/49 666.258 cents Arabic lute grave fifth 22: 2 3/2 701.955 cents perfect fifth 22: 2 448/297 711.643 cents 22: 2 32/21 729.219 cents wide fifth 22: 2 135/88 740.861 cents 22: 2 14/9 764.916 cents septimal minor sixth 22: 2 11/7 782.492 cents undecimal augmented fifth 22: 2 35/22 803.822 cents 22: 2 8/5 813.686 cents minor sixth 23: 2 4/3 498.045 cents perfect fourth 23: 2 27/20 519.551 cents acute fourth 23: 2 110/81 529.812 cents 23: 2 11/8 551.318 cents undecimal semi-augmented fourth 23: 2 135/98 554.527 cents 23: 2 168/121 568.145 cents 23: 2 64/45 609.776 cents 2nd tritone 23: 2 231/160 635.785 cents 23: 2 22/15 663.049 cents undecimal diminished fifth 23: 2 165/112 670.761 cents 23: 2 49/33 684.379 cents 23: 2 3/2 701.955 cents perfect fifth 23: 4 32/21 729.219 cents wide fifth 23: 2 84/55 733.149 cents 23: 2 120/77 768.125 cents 23: 2 25/16 772.627 cents classic augmented fifth 23: 2 8/5 813.686 cents minor sixth 23: 2 77/48 818.189 cents 23: 2 160/99 831.086 cents 23: 1 81/50 835.193 cents acute minor sixth 24: 1 49/36 533.742 cents Arabic lute acute fourth 24: 2 48/35 546.815 cents septimal semi-augmented fourth 24: 2 11/8 551.318 cents undecimal semi-augmented fourth 24: 2 25/18 568.717 cents classic augmented fourth 24: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 24: 2 108/77 585.721 cents 24: 2 10/7 617.488 cents Euler's tritone 24: 2 22/15 663.049 cents undecimal diminished fifth 24: 2 147/100 666.979 cents 24: 2 220/147 698.025 cents 24: 2 3/2 701.955 cents perfect fifth 24: 2 49/32 737.652 cents 24: 2 528/343 746.795 cents 24: 2 256/165 760.413 cents 24: 2 14/9 764.916 cents septimal minor sixth 24: 2 189/121 772.055 cents 24: 2 100/63 799.892 cents quasi-equal minor sixth 24: 2 45/28 821.398 cents septimale wide minor sixth 24: 2 44/27 845.453 cents neutral sixth 24: 2 49/30 849.383 cents larger approximation to neutral sixth 24: 2 18/11 852.592 cents undecimal neutral sixth 25: 2 88/63 578.582 cents 25: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 25: 2 45/32 590.224 cents diatonic tritone 25: 2 140/99 599.912 cents quasi-equal tritone 25: 2 99/70 600.088 cents 2nd quasi-equal tritone 25: 2 16/11 648.682 cents undecimal semi-diminished fifth 25: 2 165/112 670.761 cents 25: 2 112/75 694.243 cents marvelous fifth 25: 2 3/2 701.955 cents perfect fifth 25: 2 32/21 729.219 cents wide fifth 25: 2 99/64 755.228 cents 25: 2 384/245 777.989 cents 25: 2 11/7 782.492 cents undecimal augmented fifth 25: 2 192/121 799.319 cents 25: 2 343/216 800.613 cents 25: 2 35/22 803.822 cents 25: 2 80/49 848.662 cents smaller approximation to neutral sixth 25: 2 105/64 857.095 cents septimal neutral sixth 25: 2 33/20 866.959 cents 25: 1 200/121 869.992 cents 25: 2 224/135 876.647 cents narrow septimal major sixth 26: 2 77/54 614.279 cents 26: 4 10/7 617.488 cents Euler's tritone 26: 2 63/44 621.418 cents 26: 1 36/25 631.283 cents classic diminished fifth 26: 2 22/15 663.049 cents undecimal diminished fifth 26: 4 3/2 701.955 cents perfect fifth 26: 2 32/21 729.219 cents wide fifth 26: 2 84/55 733.149 cents 26: 2 11/7 782.492 cents undecimal augmented fifth 26: 2 8/5 813.686 cents minor sixth 26: 2 864/539 816.895 cents 26: 4 77/48 818.189 cents 26: 2 160/99 831.086 cents 26: 2 18/11 852.592 cents undecimal neutral sixth 26: 6 5/3 884.359 cents major sixth, BP sixth 26: 2 42/25 898.153 cents quasi-equal major sixth 27: 2 81/56 638.994 cents 27: 2 16/11 648.682 cents undecimal semi-diminished fifth 27: 2 35/24 653.185 cents septimal semi-diminished fifth 27: 2 22/15 663.049 cents undecimal diminished fifth 27: 2 40/27 680.449 cents grave fifth 27: 2 121/80 716.322 cents 27: 2 84/55 733.149 cents 27: 2 75/49 736.931 cents BP fifth 27: 2 256/165 760.413 cents 27: 2 63/40 786.422 cents narrow minor sixth 27: 2 363/224 835.765 cents 27: 2 44/27 845.453 cents neutral sixth 27: 2 80/49 848.662 cents smaller approximation to neutral sixth 27: 2 49/30 849.383 cents larger approximation to neutral sixth 27: 2 18/11 852.592 cents undecimal neutral sixth 27: 2 128/77 879.856 cents 27: 2 147/88 888.289 cents 27: 1 121/72 898.726 cents 27: 2 27/16 905.865 cents Pythagorean major sixth 27: 2 320/189 911.623 cents 27: 2 56/33 915.553 cents 28: 2 72/49 666.258 cents Arabic lute grave fifth 28: 2 49/33 684.379 cents 28: 1 121/81 694.816 cents two (undecimal neutral third) 28: 4 3/2 701.955 cents perfect fifth 28: 2 55/36 733.722 cents undecimal semi-augmented fifth 28: 2 77/50 747.516 cents 28: 4 120/77 768.125 cents 28: 2 8/5 813.686 cents minor sixth 28: 2 49/30 849.383 cents larger approximation to neutral sixth 28: 2 242/147 863.029 cents 28: 2 33/20 866.959 cents 28: 2 5/3 884.359 cents major sixth, BP sixth 28: 2 147/88 888.289 cents 28: 2 576/343 897.432 cents 28: 4 56/33 915.553 cents 28: 2 75/44 923.264 cents 28: 2 77/45 929.920 cents 28: 2 12/7 933.129 cents septimal major sixth 29: 2 3/2 701.955 cents perfect fifth 29: 2 32/21 729.219 cents wide fifth 29: 2 84/55 733.149 cents 29: 2 55/36 733.722 cents undecimal semi-augmented fifth 29: 2 99/64 755.228 cents 29: 2 14/9 764.916 cents septimal minor sixth 29: 2 11/7 782.492 cents undecimal augmented fifth 29: 2 192/121 799.319 cents 29: 2 45/28 821.398 cents septimale wide minor sixth 29: 2 33/20 866.959 cents 29: 2 224/135 876.647 cents narrow septimal major sixth 29: 2 176/105 894.223 cents 29: 2 27/16 905.865 cents Pythagorean major sixth 29: 2 245/144 920.056 cents 29: 4 12/7 933.129 cents septimal major sixth 29: 2 189/110 937.059 cents 29: 2 55/32 937.632 cents 29: 2 512/297 942.817 cents 29: 2 400/231 950.529 cents 29: 1 392/225 961.114 cents 30: 2 54/35 750.725 cents septimal semi-augmented fifth 30: 4 14/9 764.916 cents septimal minor sixth 30: 1 25/16 772.627 cents classic augmented fifth 30: 2 11/7 782.492 cents undecimal augmented fifth 30: 2 63/40 786.422 cents narrow minor sixth 30: 2 100/63 799.892 cents quasi-equal minor sixth 30: 2 8/5 813.686 cents minor sixth 30: 2 18/11 852.592 cents undecimal neutral sixth 30: 2 5/3 884.359 cents major sixth, BP sixth 30: 2 176/105 894.223 cents 30: 2 42/25 898.153 cents quasi-equal major sixth 30: 2 12/7 933.129 cents septimal major sixth 30: 2 55/32 937.632 cents 30: 2 210/121 954.459 cents 30: 2 256/147 960.393 cents 30: 2 96/55 964.323 cents 30: 2 110/63 964.896 cents 30: 6 7/4 968.826 cents harmonic seventh 31: 2 11/7 782.492 cents undecimal augmented fifth 31: 2 35/22 803.822 cents 31: 4 8/5 813.686 cents minor sixth 31: 2 77/48 818.189 cents 31: 2 45/28 821.398 cents septimale wide minor sixth 31: 2 160/99 831.086 cents 31: 2 33/20 866.959 cents 31: 2 165/98 901.935 cents 31: 2 56/33 915.553 cents 31: 2 128/75 925.418 cents diminished seventh 31: 2 189/110 937.059 cents 31: 2 110/63 964.896 cents 31: 2 7/4 968.826 cents harmonic seventh 31: 1 225/128 976.537 cents augmented sixth 31: 2 640/363 981.723 cents 31: 2 432/245 981.899 cents 31: 2 99/56 986.402 cents 31: 4 16/9 996.090 cents Pythagorean minor seventh 31: 2 343/192 1004.523 cents 32: 2 45/28 821.398 cents septimale wide minor sixth 32: 1 196/121 835.016 cents two (undecimal diminished fourth or major third) 32: 2 44/27 845.453 cents neutral sixth 32: 2 80/49 848.662 cents smaller approximation to neutral sixth 32: 2 49/30 849.383 cents larger approximation to neutral sixth 32: 2 18/11 852.592 cents undecimal neutral sixth 32: 2 33/20 866.959 cents 32: 2 5/3 884.359 cents major sixth, BP sixth 32: 2 77/45 929.920 cents 32: 4 12/7 933.129 cents septimal major sixth 32: 2 96/55 964.323 cents 32: 2 7/4 968.826 cents harmonic seventh 32: 2 16/9 996.090 cents Pythagorean minor seventh 32: 2 960/539 999.299 cents 32: 2 98/55 1000.020 cents quasi-equal minor seventh 32: 2 25/14 1003.802 cents middle minor seventh 32: 2 88/49 1013.666 cents undecimal minor seventh 32: 2 9/5 1017.596 cents just minor seventh, BP seventh 32: 2 231/128 1022.099 cents 32: 2 49/27 1031.787 cents 33: 2 18/11 852.592 cents undecimal neutral sixth 33: 2 128/77 879.856 cents 33: 4 5/3 884.359 cents major sixth, BP sixth 33: 2 42/25 898.153 cents quasi-equal major sixth 33: 2 121/72 898.726 cents 33: 2 27/16 905.865 cents Pythagorean major sixth 33: 2 140/81 947.320 cents 33: 2 121/70 947.496 cents 33: 2 96/55 964.323 cents 33: 2 135/77 972.035 cents 33: 2 16/9 996.090 cents Pythagorean minor seventh 33: 2 315/176 1007.732 cents 33: 2 88/49 1013.666 cents undecimal minor seventh 33: 2 9/5 1017.596 cents just minor seventh, BP seventh 33: 2 896/495 1027.284 cents 33: 1 800/441 1031.066 cents 33: 2 20/11 1034.996 cents large minor seventh 33: 4 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 33: 2 147/80 1053.293 cents 34: 1 81/49 870.168 cents two (septimal major third, BP third) 34: 4 56/33 915.553 cents 34: 2 77/45 929.920 cents 34: 4 12/7 933.129 cents septimal major sixth 34: 2 55/32 937.632 cents 34: 2 110/63 964.896 cents 34: 2 7/4 968.826 cents harmonic seventh 34: 2 44/25 978.691 cents undecimal grave minor seventh 34: 2 216/121 1003.229 cents 34: 2 25/14 1003.802 cents middle minor seventh 34: 4 20/11 1034.996 cents large minor seventh 34: 4 64/35 1044.860 cents septimal neutral seventh 34: 2 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 34: 2 147/80 1053.293 cents 34: 2 245/132 1070.693 cents 34: 2 297/160 1070.869 cents 34: 2 352/189 1076.627 cents 35: 2 12/7 933.129 cents septimal major sixth 35: 2 96/55 964.323 cents 35: 2 110/63 964.896 cents 35: 6 7/4 968.826 cents harmonic seventh 35: 2 99/56 986.402 cents 35: 4 16/9 996.090 cents Pythagorean minor seventh 35: 2 9/5 1017.596 cents just minor seventh, BP seventh 35: 2 20/11 1034.996 cents large minor seventh 35: 1 441/242 1038.926 cents 35: 4 90/49 1052.572 cents 35: 2 1280/693 1062.260 cents 35: 6 28/15 1080.557 cents grave major seventh 35: 2 539/288 1085.060 cents 35: 2 15/8 1088.269 cents classic major seventh 35: 2 66/35 1098.133 cents 36: 2 99/56 986.402 cents 36: 3 16/9 996.090 cents Pythagorean minor seventh 36: 2 98/55 1000.020 cents quasi-equal minor seventh 36: 2 25/14 1003.802 cents middle minor seventh 36: 2 88/49 1013.666 cents undecimal minor seventh 36: 4 9/5 1017.596 cents just minor seventh, BP seventh 36: 2 49/27 1031.787 cents 36: 2 20/11 1034.996 cents large minor seventh 36: 2 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 36: 2 224/121 1066.190 cents 36: 2 640/343 1079.836 cents 36: 2 144/77 1083.766 cents 36: 4 15/8 1088.269 cents classic major seventh 36: 2 189/100 1102.063 cents 36: 2 121/64 1102.636 cents two (undecimal semi-augmented fourth) 36: 2 256/135 1107.821 cents octave - major chroma 36: 2 40/21 1115.533 cents acute major seventh 36: 2 343/180 1116.254 cents 37: 2 9/5 1017.596 cents just minor seventh, BP seventh 37: 4 20/11 1034.996 cents large minor seventh 37: 2 64/35 1044.860 cents septimal neutral seventh 37: 6 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 37: 2 81/44 1056.502 cents 2nd undecimal neutral seventh 37: 2 50/27 1066.762 cents grave major seventh 37: 2 28/15 1080.557 cents grave major seventh 37: 2 144/77 1083.766 cents 37: 1 2048/1089 1093.454 cents 37: 2 66/35 1098.133 cents 37: 4 40/21 1115.533 cents acute major seventh 37: 4 21/11 1119.463 cents undecimal major seventh 37: 2 245/128 1123.966 cents 37: 2 48/25 1129.328 cents classic diminished octave 37: 2 121/63 1129.900 cents 37: 2 77/40 1133.830 cents 38: 2 90/49 1052.572 cents 38: 2 224/121 1066.190 cents 38: 4 28/15 1080.557 cents grave major seventh 38: 2 144/77 1083.766 cents 38: 4 15/8 1088.269 cents classic major seventh 38: 2 66/35 1098.133 cents 38: 1 121/64 1102.636 cents two (undecimal semi-augmented fourth) 38: 2 1024/539 1111.030 cents 38: 2 154/81 1112.324 cents 38: 2 40/21 1115.533 cents acute major seventh 38: 2 21/11 1119.463 cents undecimal major seventh 38: 4 77/40 1133.830 cents 38: 2 27/14 1137.039 cents septimal major seventh 38: 2 495/256 1141.542 cents 38: 4 64/33 1146.727 cents 33rd subharmonic 38: 2 35/18 1151.230 cents septimal semi-diminished octave 38: 2 88/45 1161.094 cents 39: 2 144/77 1083.766 cents 39: 4 40/21 1115.533 cents acute major seventh 39: 4 21/11 1119.463 cents undecimal major seventh 39: 1 4608/2401 1128.606 cents 39: 2 48/25 1129.328 cents classic diminished octave 39: 2 121/63 1129.900 cents 39: 2 77/40 1133.830 cents 39: 2 27/14 1137.039 cents septimal major seventh 39: 2 64/33 1146.727 cents 33rd subharmonic 39: 4 35/18 1151.230 cents septimal semi-diminished octave 39: 2 150/77 1154.439 cents 39: 2 343/176 1155.160 cents 39: 4 88/45 1161.094 cents 39: 2 49/25 1165.024 cents BP eighth 39: 2 108/55 1168.233 cents 39: 4 55/28 1168.806 cents 40: 2 27/14 1137.039 cents septimal major seventh 40: 2 64/33 1146.727 cents 33rd subharmonic 40: 2 35/18 1151.230 cents septimal semi-diminished octave 40: 2 88/45 1161.094 cents 40: 4 96/49 1164.303 cents 40: 1 49/25 1165.024 cents BP eighth 40: 2 108/55 1168.233 cents 40: 6 55/28 1168.806 cents 40: 6 63/32 1172.736 cents octave - septimal comma 40: 2 160/81 1178.494 cents octave - syntonic comma 40: 4 196/99 1182.424 cents 40: 2 99/50 1182.601 cents 40: 2 240/121 1185.633 cents 40: 2 448/225 1192.288 cents 40: 2 880/441 1196.070 cents Highest number of different intervals for one interval class: 21 Average number of different intervals per interval class: 18.40000 = 92/5
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 : 35.7 53.3 80.5 84.5 111.7 119.4 150.6 165.0 182.4 203.9 231.2 266.9 315.6 347.4 386.3 417.5 435.1 498.0 551.3 582.5 617.5 648.7 702.0 764.9 782.5 813.7 852.6 884.4 933.1 968.8 996.1 1017.6 1035.0 1049.4 1080.6 1088.3 1115.5 1119.5 1146.7 1164.3 1200.0 35.7 : 17.6 44.8 48.8 76.0 83.7 114.9 129.3 146.7 168.2 195.5 231.2 279.9 311.7 350.6 381.8 399.4 462.3 515.6 546.8 581.8 613.0 666.3 729.2 746.8 778.0 816.9 848.7 897.4 933.1 960.4 981.9 999.3 1013.7 1044.9 1052.6 1079.8 1083.8 1111.0 1128.6 1164.3 1200.0 53.3 : 27.3 31.2 58.5 66.2 97.4 111.7 129.1 150.6 177.9 213.6 262.4 294.1 333.0 364.2 381.8 444.8 498.0 529.2 564.2 595.4 648.7 711.6 729.2 760.4 799.3 831.1 879.9 915.6 942.8 964.3 981.7 996.1 1027.3 1035.0 1062.3 1066.2 1093.5 1111.0 1146.7 1182.4 1200.0 80.5 : 3.9 31.2 38.9 70.1 84.5 101.9 123.4 150.6 186.3 235.1 266.9 305.8 337.0 354.5 417.5 470.8 502.0 537.0 568.1 621.4 684.4 702.0 733.1 772.1 803.8 852.6 888.3 915.6 937.1 954.5 968.8 1000.0 1007.7 1035.0 1038.9 1066.2 1083.8 1119.5 1155.2 1172.7 1200.0 84.5 : 27.3 35.0 66.2 80.5 97.9 119.4 146.7 182.4 231.2 262.9 301.8 333.0 350.6 413.6 466.9 498.0 533.0 564.2 617.5 680.4 698.0 729.2 768.1 799.9 848.7 884.4 911.6 933.1 950.5 964.9 996.1 1003.8 1031.1 1035.0 1062.3 1079.8 1115.5 1151.2 1168.8 1196.1 1200.0 111.7 : 7.7 38.9 53.3 70.7 92.2 119.4 155.1 203.9 235.7 274.6 305.8 323.4 386.3 439.6 470.8 505.8 537.0 590.2 653.2 670.8 702.0 740.9 772.6 821.4 857.1 884.4 905.9 923.3 937.6 968.8 976.5 1003.8 1007.7 1035.0 1052.6 1088.3 1124.0 1141.5 1168.8 1172.7 1200.0 119.4 : 31.2 45.6 63.0 84.5 111.7 147.4 196.2 228.0 266.9 298.1 315.6 378.6 431.9 463.1 498.0 529.2 582.5 645.5 663.0 694.2 733.1 764.9 813.7 849.4 876.6 898.2 915.6 929.9 961.1 968.8 996.1 1000.0 1027.3 1044.9 1080.6 1116.3 1133.8 1161.1 1165.0 1192.3 1200.0 150.6 : 14.4 31.8 53.3 80.5 116.2 165.0 196.8 235.7 266.9 284.4 347.4 400.7 431.9 466.9 498.0 551.3 614.3 631.9 663.0 702.0 733.7 782.5 818.2 845.5 867.0 884.4 898.7 929.9 937.6 964.9 968.8 996.1 1013.7 1049.4 1085.1 1102.6 1129.9 1133.8 1161.1 1168.8 1200.0 165.0 : 17.4 38.9 66.2 101.9 150.6 182.4 221.3 252.5 270.1 333.0 386.3 417.5 452.5 483.7 537.0 599.9 617.5 648.7 687.6 719.4 768.1 803.8 831.1 852.6 870.0 884.4 915.6 923.3 950.5 954.5 981.7 999.3 1035.0 1070.7 1088.3 1115.5 1119.5 1146.7 1154.4 1185.6 1200.0 182.4 : 21.5 48.8 84.5 133.2 165.0 203.9 235.1 252.7 315.6 368.9 400.1 435.1 466.3 519.6 582.5 600.1 631.3 670.2 702.0 750.7 786.4 813.7 835.2 852.6 867.0 898.2 905.9 933.1 937.1 964.3 981.9 1017.6 1053.3 1070.9 1098.1 1102.1 1129.3 1137.0 1168.2 1182.6 1200.0 203.9 : 27.3 63.0 111.7 143.5 182.4 213.6 231.2 294.1 347.4 378.6 413.6 444.8 498.0 561.0 578.6 609.8 648.7 680.4 729.2 764.9 792.2 813.7 831.1 845.5 876.6 884.4 911.6 915.6 942.8 960.4 996.1 1031.8 1049.4 1076.6 1080.6 1107.8 1115.5 1146.7 1161.1 1178.5 1200.0 231.2 : 35.7 84.5 116.2 155.1 186.3 203.9 266.9 320.1 351.3 386.3 417.5 470.8 533.7 551.3 582.5 621.4 653.2 702.0 737.7 764.9 786.4 803.8 818.2 849.4 857.1 884.4 888.3 915.6 933.1 968.8 1004.5 1022.1 1049.4 1053.3 1080.6 1088.3 1119.5 1133.8 1151.2 1172.7 1200.0 266.9 : 48.8 80.5 119.4 150.6 168.2 231.2 284.4 315.6 350.6 381.8 435.1 498.0 515.6 546.8 585.7 617.5 666.3 702.0 729.2 750.7 768.1 782.5 813.7 821.4 848.7 852.6 879.9 897.4 933.1 968.8 986.4 1013.7 1017.6 1044.9 1052.6 1083.8 1098.1 1115.5 1137.0 1164.3 1200.0 315.6 : 31.8 70.7 101.9 119.4 182.4 235.7 266.9 301.8 333.0 386.3 449.3 466.9 498.0 537.0 568.7 617.5 653.2 680.4 702.0 719.4 733.7 764.9 772.6 799.9 803.8 831.1 848.7 884.4 920.1 937.6 964.9 968.8 996.1 1003.8 1035.0 1049.4 1066.8 1088.3 1115.5 1151.2 1200.0 347.4 : 38.9 70.1 87.7 150.6 203.9 235.1 270.1 301.3 354.5 417.5 435.1 466.3 505.2 537.0 585.7 621.4 648.7 670.2 687.6 702.0 733.1 740.9 768.1 772.1 799.3 816.9 852.6 888.3 905.9 933.1 937.1 964.3 972.0 1003.2 1017.6 1035.0 1056.5 1083.8 1119.5 1168.2 1200.0 386.3 : 31.2 48.8 111.7 165.0 196.2 231.2 262.4 315.6 378.6 396.2 427.4 466.3 498.0 546.8 582.5 609.8 631.3 648.7 663.0 694.2 702.0 729.2 733.1 760.4 778.0 813.7 849.4 867.0 894.2 898.2 925.4 933.1 964.3 978.7 996.1 1017.6 1044.9 1080.6 1129.3 1161.1 1200.0 417.5 : 17.6 80.5 133.8 165.0 200.0 231.2 284.4 347.4 365.0 396.2 435.1 466.9 515.6 551.3 578.6 600.1 617.5 631.9 663.0 670.8 698.0 702.0 729.2 746.8 782.5 818.2 835.8 863.0 867.0 894.2 901.9 933.1 947.5 964.9 986.4 1013.7 1049.4 1098.1 1129.9 1168.8 1200.0 435.1 : 63.0 116.2 147.4 182.4 213.6 266.9 329.8 347.4 378.6 417.5 449.3 498.0 533.7 561.0 582.5 599.9 614.3 645.5 653.2 680.4 684.4 711.6 729.2 764.9 800.6 818.2 845.5 849.4 876.6 884.4 915.6 929.9 947.3 968.8 996.1 1031.8 1080.6 1112.3 1151.2 1182.4 1200.0 498.0 : 53.3 84.5 119.4 150.6 203.9 266.9 284.4 315.6 354.5 386.3 435.1 470.8 498.0 519.6 537.0 551.3 582.5 590.2 617.5 621.4 648.7 666.3 702.0 737.7 755.2 782.5 786.4 813.7 821.4 852.6 867.0 884.4 905.9 933.1 968.8 1017.6 1049.4 1088.3 1119.5 1137.0 1200.0 551.3 : 31.2 66.2 97.4 150.6 213.6 231.2 262.4 301.3 333.0 381.8 417.5 444.8 466.3 483.7 498.0 529.2 537.0 564.2 568.1 595.4 613.0 648.7 684.4 702.0 729.2 733.1 760.4 768.1 799.3 813.7 831.1 852.6 879.9 915.6 964.3 996.1 1035.0 1066.2 1083.8 1146.7 1200.0 582.5 : 35.0 66.2 119.4 182.4 200.0 231.2 270.1 301.8 350.6 386.3 413.6 435.1 452.5 466.9 498.0 505.8 533.0 537.0 564.2 581.8 617.5 653.2 670.8 698.0 702.0 729.2 736.9 768.1 782.5 799.9 821.4 848.7 884.4 933.1 964.9 1003.8 1035.0 1052.6 1115.5 1168.8 1200.0 617.5 : 31.2 84.5 147.4 165.0 196.2 235.1 266.9 315.6 351.3 378.6 400.1 417.5 431.9 463.1 470.8 498.0 502.0 529.2 546.8 582.5 618.2 635.8 663.0 667.0 694.2 702.0 733.1 747.5 764.9 786.4 813.7 849.4 898.2 929.9 968.8 1000.0 1017.6 1080.6 1133.8 1165.0 1200.0 648.7 : 53.3 116.2 133.8 165.0 203.9 235.7 284.4 320.1 347.4 368.9 386.3 400.7 431.9 439.6 466.9 470.8 498.0 515.6 551.3 587.0 604.6 631.9 635.8 663.0 670.8 702.0 716.3 733.7 755.2 782.5 818.2 867.0 898.7 937.6 968.8 986.4 1049.4 1102.6 1133.8 1168.8 1200.0 702.0 : 63.0 80.5 111.7 150.6 182.4 231.2 266.9 294.1 315.6 333.0 347.4 378.6 386.3 413.6 417.5 444.8 462.3 498.0 533.7 551.3 578.6 582.5 609.8 617.5 648.7 663.0 680.4 702.0 729.2 764.9 813.7 845.5 884.4 915.6 933.1 996.1 1049.4 1080.6 1115.5 1146.7 1200.0 764.9 : 17.6 48.8 87.7 119.4 168.2 203.9 231.2 252.7 270.1 284.4 315.6 323.4 350.6 354.5 381.8 399.4 435.1 470.8 488.4 515.6 519.6 546.8 554.5 585.7 600.1 617.5 639.0 666.3 702.0 750.7 782.5 821.4 852.6 870.2 933.1 986.4 1017.6 1052.6 1083.8 1137.0 1200.0 782.5 : 31.2 70.1 101.9 150.6 186.3 213.6 235.1 252.5 266.9 298.1 305.8 333.0 337.0 364.2 381.8 417.5 453.2 470.8 498.0 502.0 529.2 537.0 568.1 582.5 599.9 621.4 648.7 684.4 733.1 764.9 803.8 835.0 852.6 915.6 968.8 1000.0 1035.0 1066.2 1119.5 1182.4 1200.0 813.7 : 38.9 70.7 119.4 155.1 182.4 203.9 221.3 235.7 266.9 274.6 301.8 305.8 333.0 350.6 386.3 422.0 439.6 466.9 470.8 498.0 505.8 537.0 551.3 568.7 590.2 617.5 653.2 702.0 733.7 772.6 803.8 821.4 884.4 937.6 968.8 1003.8 1035.0 1088.3 1151.2 1168.8 1200.0 852.6 : 31.8 80.5 116.2 143.5 165.0 182.4 196.8 228.0 235.7 262.9 266.9 294.1 311.7 347.4 383.1 400.7 427.9 431.9 459.1 466.9 498.0 512.4 529.8 551.3 578.6 614.3 663.0 694.8 733.7 764.9 782.5 845.5 898.7 929.9 964.9 996.1 1049.4 1112.3 1129.9 1161.1 1200.0 884.4 : 48.8 84.5 111.7 133.2 150.6 165.0 196.2 203.9 231.2 235.1 262.4 279.9 315.6 351.3 368.9 396.2 400.1 427.4 435.1 466.3 480.6 498.0 519.6 546.8 582.5 631.3 663.0 702.0 733.1 750.7 813.7 867.0 898.2 933.1 964.3 1017.6 1080.6 1098.1 1129.3 1168.2 1200.0 933.1 : 35.7 63.0 84.5 101.9 116.2 147.4 155.1 182.4 186.3 213.6 231.2 266.9 302.6 320.1 347.4 351.3 378.6 386.3 417.5 431.9 449.3 470.8 498.0 533.7 582.5 614.3 653.2 684.4 702.0 764.9 818.2 849.4 884.4 915.6 968.8 1031.8 1049.4 1080.6 1119.5 1151.2 1200.0 968.8 : 27.3 48.8 66.2 80.5 111.7 119.4 146.7 150.6 177.9 195.5 231.2 266.9 284.4 311.7 315.6 342.9 350.6 381.8 396.2 413.6 435.1 462.3 498.0 546.8 578.6 617.5 648.7 666.3 729.2 782.5 813.7 848.7 879.9 933.1 996.1 1013.7 1044.9 1083.8 1115.5 1164.3 1200.0 996.1 : 21.5 38.9 53.3 84.5 92.2 119.4 123.4 150.6 168.2 203.9 239.6 257.2 284.4 288.4 315.6 323.4 354.5 368.9 386.3 407.8 435.1 470.8 519.6 551.3 590.2 621.4 639.0 702.0 755.2 786.4 821.4 852.6 905.9 968.8 986.4 1017.6 1056.5 1088.3 1137.0 1172.7 1200.0 1017.6: 17.4 31.8 63.0 70.7 97.9 101.9 129.1 146.7 182.4 218.1 235.7 262.9 266.9 294.1 301.8 333.0 347.4 364.8 386.3 413.6 449.3 498.0 529.8 568.7 599.9 617.5 680.4 733.7 764.9 799.9 831.1 884.4 947.3 964.9 996.1 1035.0 1066.8 1115.5 1151.2 1178.5 1200.0 1035.0: 14.4 45.6 53.3 80.5 84.5 111.7 129.3 165.0 200.7 218.3 245.5 249.5 276.7 284.4 315.6 330.0 347.4 368.9 396.2 431.9 480.6 512.4 551.3 582.5 600.1 663.0 716.3 747.5 782.5 813.7 867.0 929.9 947.5 978.7 1017.6 1049.4 1098.1 1133.8 1161.1 1182.6 1200.0 1049.4: 31.2 38.9 66.2 70.1 97.4 114.9 150.6 186.3 203.9 231.2 235.1 262.4 270.1 301.3 315.6 333.0 354.5 381.8 417.5 466.3 498.0 537.0 568.1 585.7 648.7 702.0 733.1 768.1 799.3 852.6 915.6 933.1 964.3 1003.2 1035.0 1083.8 1119.5 1146.7 1168.2 1185.6 1200.0 1080.6: 7.7 35.0 38.9 66.2 83.7 119.4 155.1 172.7 200.0 203.9 231.2 238.9 270.1 284.4 301.8 323.4 350.6 386.3 435.1 466.9 505.8 537.0 554.5 617.5 670.8 702.0 736.9 768.1 821.4 884.4 901.9 933.1 972.0 1003.8 1052.6 1088.3 1115.5 1137.0 1154.4 1168.8 1200.0 1088.3: 27.3 31.2 58.5 76.0 111.7 147.4 165.0 192.3 196.2 223.5 231.2 262.4 276.7 294.1 315.6 342.9 378.6 427.4 459.1 498.0 529.2 546.8 609.8 663.0 694.2 729.2 760.4 813.7 876.6 894.2 925.4 964.3 996.1 1044.9 1080.6 1107.8 1129.3 1146.7 1161.1 1192.3 1200.0 1115.5: 3.9 31.2 48.8 84.5 120.2 137.7 165.0 168.9 196.2 203.9 235.1 249.5 266.9 288.4 315.6 351.3 400.1 431.9 470.8 502.0 519.6 582.5 635.8 667.0 702.0 733.1 786.4 849.4 867.0 898.2 937.1 968.8 1017.6 1053.3 1080.6 1102.1 1119.5 1133.8 1165.0 1172.7 1200.0 1119.5: 27.3 44.8 80.5 116.2 133.8 161.1 165.0 192.3 200.0 231.2 245.5 262.9 284.4 311.7 347.4 396.2 427.9 466.9 498.0 515.6 578.6 631.9 663.0 698.0 729.2 782.5 845.5 863.0 894.2 933.1 964.9 1013.7 1049.4 1076.6 1098.1 1115.5 1129.9 1161.1 1168.8 1196.1 1200.0 1146.7: 17.6 53.3 89.0 106.5 133.8 137.7 165.0 172.7 203.9 218.3 235.7 257.2 284.4 320.1 368.9 400.7 439.6 470.8 488.4 551.3 604.6 635.8 670.8 702.0 755.2 818.2 835.8 867.0 905.9 937.6 986.4 1022.1 1049.4 1070.9 1088.3 1102.6 1133.8 1141.5 1168.8 1172.7 1200.0 1164.3: 35.7 71.4 89.0 116.2 120.2 147.4 155.1 186.3 200.7 218.1 239.6 266.9 302.6 351.3 383.1 422.0 453.2 470.8 533.7 587.0 618.2 653.2 684.4 737.7 800.6 818.2 849.4 888.3 920.1 968.8 1004.5 1031.8 1053.3 1070.7 1085.1 1116.3 1124.0 1151.2 1155.2 1182.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 3.9302 .. 62.9609 cents 1760/1701, 59.0307 cents 441/440, 3.9302 cents 2: 31.1943 .. 116.2338 cents 605/576, 85.0396 cents 54/55,-31.7667 cents 3: 38.9058 .. 147.4281 cents 2156/2025, 108.5223 cents 810/847,-77.3281 cents 4: 66.1699 .. 182.4037 cents 77/72, 116.2338 cents 3600/3773,-81.2582 cents 5: 83.7460 .. 213.5980 cents 4802/4455, 129.8520 cents 324/343,-98.6577 cents 6: 101.8667 .. 266.8709 cents 11/10, 165.0042 cents 15/16,-111.7313 cents 7: 123.3730 .. 329.8318 cents 2464/2187, 206.4588 cents 81/88,-143.4979 cents 8: 146.7069 .. 347.4079 cents 539/480, 200.7010 cents 2160/2401,-183.1249 cents 9: 168.2132 .. 378.6022 cents 1372/1215, 210.3890 cents 486/539,-179.1948 cents 10: 195.4773 .. 417.5080 cents 2401/2112, 222.0307 cents 2160/2401,-183.1249 cents 11: 231.1741 .. 449.2746 cents 245/216, 218.1005 cents 44/49,-186.3339 cents 12: 238.8856 .. 498.0450 cents 784/675, 259.1594 cents 1215/1372,-210.3890 cents 13: 266.8709 .. 533.7418 cents 7/6, 266.8709 cents 7/8,-231.1741 cents 14: 284.4470 .. 561.0059 cents 3136/2673, 276.5589 cents 297/343,-249.2948 cents 15: 301.8465 .. 585.7212 cents 324/275, 283.8746 cents 675/784,-259.1594 cents 16: 323.3528 .. 621.4180 cents 196/165, 298.0652 cents 55/64,-262.3683 cents 17: 347.4079 .. 666.2582 cents 648/539, 318.8502 cents 484/567,-274.0100 cents 18: 364.8074 .. 701.9550 cents 243/200, 337.1476 cents 1225/1458,-301.4508 cents 19: 386.3137 .. 737.6518 cents 49/40, 351.3381 cents 5/6,-315.6413 cents 20: 407.8200 .. 764.9159 cents 896/729, 357.0959 cents 81/98,-329.8318 cents 21: 435.0841 .. 792.1800 cents 896/729, 357.0959 cents 81/98,-329.8318 cents 22: 462.3482 .. 813.6863 cents 49/40, 351.3381 cents 81/98,-329.8318 cents 23: 498.0450 .. 835.1926 cents 243/200, 337.1476 cents 5/6,-315.6413 cents 24: 533.7418 .. 852.5921 cents 648/539, 318.8502 cents 1225/1458,-301.4508 cents 25: 578.5820 .. 876.6472 cents 196/165, 298.0652 cents 484/567,-274.0100 cents 26: 614.2788 .. 898.1535 cents 324/275, 283.8746 cents 55/64,-262.3683 cents 27: 638.9941 .. 915.5530 cents 3136/2673, 276.5589 cents 675/784,-259.1594 cents 28: 666.2582 .. 933.1291 cents 7/6, 266.8709 cents 297/343,-249.2948 cents 29: 701.9550 .. 961.1144 cents 784/675, 259.1594 cents 7/8,-231.1741 cents 30: 750.7254 .. 968.8259 cents 245/216, 218.1005 cents 1215/1372,-210.3890 cents 31: 782.4920 .. 1004.5227 cents 2401/2112, 222.0307 cents 44/49,-186.3339 cents 32: 821.3978 .. 1031.7868 cents 1372/1215, 210.3890 cents 2160/2401,-183.1249 cents 33: 852.5921 .. 1053.2931 cents 539/480, 200.7010 cents 486/539,-179.1948 cents 34: 870.1682 .. 1076.6270 cents 2464/2187, 206.4588 cents 2160/2401,-183.1249 cents 35: 933.1291 .. 1098.1333 cents 11/10, 165.0042 cents 81/88,-143.4979 cents 36: 986.4020 .. 1116.2540 cents 4802/4455, 129.8520 cents 15/16,-111.7313 cents 37: 1017.5963 .. 1133.8301 cents 77/72, 116.2338 cents 324/343,-98.6577 cents 38: 1052.5719 .. 1161.0942 cents 2156/2025, 108.5223 cents 3600/3773,-81.2582 cents 39: 1083.7662 .. 1168.8057 cents 605/576, 85.0396 cents 810/847,-77.3281 cents 40: 1137.0391 .. 1196.0698 cents 1760/1701, 59.0307 cents 54/55,-31.7667 cents
SHOW DATA
Number of notes : 41 -- Interval properties -- Smallest interval : 441/440, 3.9302 cents, class 1 Average step (divided formal octave): 29.2683 cents Largest one step interval : 28/27, 62.9609 cents Average / Smallest step : 7.447102 Largest / Average step : 2.151164 Largest / Smallest step : 16.019940 Median interval of one step : 56/55, 31.1943 cents, amount: 6 Least squares average step : 30.00185 cents, oct.: 1230.07566 cents Scale is not proper Step pattern alph. order: ABCDCEFGHICAJKLFBMNFOFNMBFLKJACIHGFECDCBA Step pattern size order : KEGAGBHCDFGKMILHEONHJHNOEHLIMKGFDCHBGAGEK Scale is not a Constant Structure Scale diversity : 1.475551 Lumma stability : 0.006550 Lumma impropriety factor : 0.948010 Number of different interval sizes : 338 = 8.45000 / class Number of one step interval sizes : 15 Highest interval variety : 21 Mean interval variety : 18.40000 = 92/5 Median interval variety : 15 Lowest interval variety : 15 Smallest interval difference : 9801/9800, 0.1766 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 26 Most common triad is 0.0 498.045 701.955 cents, amount: 15 Number of recognisable fifths : 43, average 701.9659 cents Number of appreciable fifths : 37, average 701.0272 cents Scale contains a complete diamond : 1 3 5 7 9 11 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 : 41 = 100.0000% Scale is differentially coherent in interval class 1 Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 20-21 -- Rational properties -- Prime limit : 11 Odd number limit : 2401 (O: 2401 U: 2401) Highest odd numerator or denominator: 49 Scale harmonicity : 0.008931 Average absolute harmonicity : 0.093122 Specific harmonicity : 0.071718 Fundamental : 1/776160, -19.5660 octaves, 0.0003 Hz. Guide tone : 1552320, 20.5660 octaves, 406126597.528 Hz. Exponens Consonantiae : 1.204849E+12, 40.13199 octaves Euler's gradus suavitatis : 72 Sum of Mann's harmonic distance : 597.0, average 14.56098 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 41.37075, average 1.00904 Sum of Tenney's harmonic distance : 83.62271, average 2.03958 Vogel's harmonic complexity : 41.51220 Wille's k value : 400207 Wilson's harmonic complexity : 72 Rectangular lattice diameter : 12 Triangular lattice diameter : 4 Lattice compactness : 3207.39578, average 3.72520 Lattice compactness (without 2's) : 1845.79745, average 2.14378 Number of different primes : 5 Prime exponents' range, average, count, tones@limit: 2: -5 .. 6 0.51220 79 1 3: -2 .. 2 0.00000 36 4 5: -1 .. 1 0.00000 16 8 7: -2 .. 2 0.00000 20 14 11: -1 .. 1 0.00000 14 14 Average exponent except 2's : 0 / 41 = 0.00000 Average absolute exponent except 2's: 86 / 41 = 2.09756
FIT/MODE
41: 1 1 1 0 1 0 1 1 0 1 1 1 2 1 1 1 1 2 2 1 1 1 2 2 1 1 1 1 2 1 1 1 0 1 1 0 1 0 1 1 1 N I SD: 5.2316 c. M: 10.6055 c. 53: 2 0 2 0 1 0 2 0 1 1 1 2 2 1 2 1 1 3 2 2 1 2 2 3 1 1 2 1 2 2 1 1 1 0 2 0 1 0 2 0 2 N I SD: 6.1471 c. M: 10.0290 c. 54: 2 0 2 0 1 0 2 0 1 1 1 2 2 2 1 2 1 2 3 1 2 1 3 2 1 2 1 2 2 2 1 1 1 0 2 0 1 0 2 0 2 N I SD: 6.7633 c. M: 9.4487 c. 55: 2 0 2 0 1 0 2 1 0 1 2 1 2 2 2 1 1 3 2 2 1 2 2 3 1 1 2 2 2 1 2 1 0 1 2 0 1 0 2 0 2 N I SD: 6.5921 c. M:-10.3519 c. 57: 2 1 1 0 1 1 1 1 1 1 1 2 2 2 1 2 1 3 2 2 1 2 2 3 1 2 1 2 2 2 1 1 1 1 1 1 1 0 1 1 2 N I SD: 6.0341 c. M: 10.4868 c. 58: 2 1 1 0 1 1 1 1 1 1 1 2 2 2 2 1 1 3 3 1 2 1 3 3 1 1 2 2 2 2 1 1 1 1 1 1 1 0 1 1 2 N I SD: 4.7142 c. M: 8.7960 c. 63: 2 1 1 0 2 0 2 1 1 1 1 2 3 1 2 2 1 3 3 2 1 2 3 3 1 2 2 1 3 2 1 1 1 1 2 0 2 0 1 1 2 N I SD: 4.8845 c. M:-8.2767 c. 66: 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 3 3 2 2 2 3 3 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 N I SD: 4.5971 c. M:-7.8299 c. 72: 2 1 2 0 2 0 2 1 1 1 2 2 3 2 2 2 1 4 3 2 2 2 3 4 1 2 2 2 3 2 2 1 1 1 2 0 2 0 2 1 2 N I SD: 2.2969 c. M: 4.9354 c. 94: 3 1 2 1 2 0 3 1 1 2 2 3 4 2 3 3 1 5 4 3 2 3 4 5 1 3 3 2 4 3 2 2 1 1 3 0 2 1 2 1 3 N I SD: 2.9671 c. M:-4.8945 c. 103: 3 2 2 0 3 0 3 1 2 1 3 3 4 3 3 3 1 6 4 3 3 3 4 6 1 3 3 3 4 3 2 2 2 1 3 0 3 0 2 2 3 N SD: 2.9340 c. M: 5.8517 c. 111: 3 2 2 1 2 1 3 1 2 2 2 4 4 3 4 3 1 6 5 3 3 3 5 6 1 3 4 3 4 4 2 2 2 1 3 1 2 1 2 2 3 N I SD: 2.5655 c. M: 4.8614 c. 114: 3 2 3 0 3 0 3 2 1 2 3 3 5 3 4 3 1 6 5 3 4 3 5 6 1 3 4 3 5 3 3 2 1 2 3 0 3 0 3 2 3 N I SD: 3.1109 c. M:-4.1179 c. 117: 3 2 3 0 3 1 3 1 2 2 3 3 5 3 4 3 1 7 5 3 3 3 5 7 1 3 4 3 5 3 3 2 2 1 3 1 3 0 3 2 3 N I SD: 2.8652 c. M:-4.9276 c. 118: 4 1 3 0 3 1 3 1 2 2 3 3 5 3 4 3 2 6 5 3 4 3 5 6 2 3 4 3 5 3 3 2 2 1 3 1 3 0 3 1 4 N I SD: 2.1158 c. M:-4.9812 c. 130: 4 2 3 0 3 1 3 2 2 2 3 4 5 4 4 3 2 7 6 3 4 3 6 7 2 3 4 4 5 4 3 2 2 2 3 1 3 0 3 2 4 N I SD: 1.7387 c. M: 3.3613 c. 152: 5 2 3 1 3 1 4 2 2 3 3 5 6 4 5 4 2 8 7 4 4 4 7 8 2 4 5 4 6 5 3 3 2 2 4 1 3 1 3 2 5 N I SD: 1.5101 c. M:-3.7769 c. 158: 5 2 4 0 4 1 4 2 2 3 3 5 7 4 5 4 2 9 7 4 4 4 7 9 2 4 5 4 7 5 3 3 2 2 4 1 4 0 4 2 5 N I SD: 2.0936 c. M:-3.3461 c. 159: 5 2 4 0 4 1 4 2 2 3 4 4 7 4 5 4 3 8 7 4 5 4 7 8 3 4 5 4 7 4 4 3 2 2 4 1 4 0 4 2 5 N I SD: 1.6113 c. M:-2.7882 c. 180: 5 3 4 1 4 1 5 2 2 4 4 5 7 5 6 5 2 10 8 4 6 4 8 10 2 5 6 5 7 5 4 4 2 2 5 1 4 1 4 3 5 N I SD: 1.8634 c. M:-2.7567 c. 181: 5 3 4 1 4 1 5 2 3 3 4 5 8 4 6 5 3 9 8 5 5 5 8 9 3 5 6 4 8 5 4 3 3 2 5 1 4 1 4 3 5 N I SD: 1.6783 c. M: 3.2316 c. 183: 5 3 4 1 4 1 5 2 3 3 4 6 7 5 6 5 2 10 8 5 5 5 8 10 2 5 6 5 7 6 4 3 3 2 5 1 4 1 4 3 5 N I SD: 1.3538 c. M:-2.9099 c. 190: 6 2 5 0 5 1 5 2 3 3 5 5 8 5 6 5 3 10 8 5 6 5 8 10 3 5 6 5 8 5 5 3 3 2 5 1 5 0 5 2 6 N I SD: 1.5171 c. M: 2.7466 c. 198: 6 3 4 1 4 2 5 2 3 4 4 6 8 5 7 5 3 10 9 5 6 5 9 10 3 5 7 5 8 6 4 4 3 2 5 2 4 1 4 3 6 N I SD: 1.2889 c. M:-2.6404 c. 204: 6 3 5 0 5 1 6 2 3 4 4 6 9 5 7 5 3 11 9 5 6 5 9 11 3 5 7 5 9 6 4 4 3 2 6 1 5 0 5 3 6 N I SD: 1.4438 c. M:-2.3041 c. 212: 6 3 5 1 5 1 6 2 3 4 5 6 9 5 7 6 3 11 9 6 6 6 9 11 3 6 7 5 9 6 5 4 3 2 6 1 5 1 5 3 6 N I SD: 1.3541 c. M: 2.3295 c. 224: 7 3 5 1 5 1 6 3 3 4 5 7 9 6 7 6 3 12 10 6 6 6 10 12 3 6 7 6 9 7 5 4 3 3 6 1 5 1 5 3 7 N I SD: 0.8919 c. M:-1.8032 c. 270: 8 4 6 1 6 2 7 3 4 5 6 8 11 7 9 7 4 14 12 7 8 7 12 14 4 7 9 7 11 8 6 5 4 3 7 2 6 1 6 4 8 N I SD: 0.3879 c. M: 0.7413 c. 342: 10 5 8 1 8 2 9 4 5 6 8 10 14 9 11 9 5 18 15 9 10 9 15 18 5 9 11 9 14 10 8 6 5 4 9 2 8 1 8 5 10 N I SD: 0.3137 c. M: 0.6414 c. 494: 15 7 11 2 11 3 13 6 7 9 11 15 20 13 16 13 7 26 22 13 14 13 22 26 7 13 16 13 20 15 11 9 7 6 13 3 11 2 11 7 15 N I SD: 0.3134 c. M:-0.7404 c. 612: 18 9 14 2 14 4 16 7 9 11 14 18 25 16 20 16 9 32 27 16 18 16 27 32 9 16 20 16 25 18 14 11 9 7 16 4 14 2 14 9 18 N I SD: 0.2169 c. M:-0.4027 c. 742: 22 11 17 2 17 5 19 9 11 13 17 22 30 20 24 19 11 39 33 19 22 19 33 39 11 19 24 20 30 22 17 13 11 9 19 5 17 2 17 11 22 N I SD: 0.2148 c. M:-0.3702 c. 836: 25 12 19 3 19 5 22 10 12 15 19 25 34 22 27 22 12 44 37 22 24 22 37 44 12 22 27 22 34 25 19 15 12 10 22 5 19 3 19 12 25 N I SD: 0.1617 c. M: 0.3041 c. 1106: 33 16 25 4 25 7 29 13 16 20 25 33 45 29 36 29 16 58 49 29 32 29 49 58 16 29 36 29 45 33 25 20 16 13 29 7 25 4 25 16 33 N I SD: 0.1259 c. M: 0.2477 c. 1236: 37 18 28 4 28 8 32 15 18 22 28 37 50 33 40 32 18 65 55 32 36 32 55 65 18 32 40 33 50 37 28 22 18 15 32 8 28 4 28 18 37 N I SD: 0.1053 c. M:-0.2255 c. 1506: 45 22 34 5 34 10 39 18 22 27 34 45 61 40 49 39 22 79 67 39 44 39 67 79 22 39 49 40 61 45 34 27 22 18 39 10 34 5 34 22 45 N I SD: 0.0853 c. M:-0.1775 c. 1578: 47 23 36 5 36 10 41 19 23 28 36 47 64 42 51 41 23 83 70 41 46 41 70 83 23 41 51 42 64 47 36 28 23 19 41 10 36 5 36 23 47 N I SD: 0.0620 c. M: 0.1206 c. 1848: 55 27 42 6 42 12 48 22 27 33 42 55 75 49 60 48 27 97 82 48 54 48 82 97 27 48 60 49 75 55 42 33 27 22 48 12 42 6 42 27 55 N I SD: 0.0354 c. M: 0.0692 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: 0.0000 cents 6 .. 12 match: 6 H SD: 0.0000 cents 7 .. 14 match: 7 H SD: 1.2651 cents 8 .. 16 match: 8 H SD: 1.5080 cents 9 .. 18 match: 9 H SD: 1.9525 cents 10 .. 20 match: 10 H SD: 2.4385 cents 11 .. 22 match: 11 H SD: 2.8796 cents 12 .. 24 match: 12 H SD: 1.9951 cents 13 .. 26 match: 13 H SD: 4.2748 cents 14 .. 28 match: 14 H SD: 2.1643 cents 15 .. 30 match: 15 H SD: 2.4606 cents 16 .. 32 match: 16 H SD: 2.7486 cents 17 .. 34 match: 17 H SD: 3.5359 cents 18 .. 36 match: 18 H SD: 1.6267 cents 19 .. 38 match: 19 H SD: 3.1809 cents 20 .. 40 match: 20 H SD: 2.0946 cents 21 .. 42 match: 21 H SD: 2.4397 cents 22 .. 44 match: 22 H SD: 2.0697 cents 23 .. 46 match: 22 SD: 2.5871 cents 24 .. 48 match: 24 H SD: 1.5513 cents 25 .. 50 match: 24 S SD: 2.1484 cents 26 .. 52 match: 24 SD: 2.2862 cents 27 .. 54 match: 26 SD: 1.9433 cents 28 .. 56 match: 26 SD: 1.5486 cents 29 .. 58 match: 26 SD: 1.9295 cents 30 .. 60 match: 28 SD: 1.4563 cents 31 .. 62 match: 29 SD: 1.5960 cents 32 .. 64 match: 29 SD: 1.5183 cents 33 .. 66 match: 30 SD: 1.6769 cents 34 .. 68 match: 29 SD: 1.8603 cents 35 .. 70 match: 32 SD: 1.2997 cents 36 .. 72 match: 31 S SD: 1.3531 cents 37 .. 74 match: 31 SD: 1.6262 cents 38 .. 76 match: 30 SD: 1.5742 cents 39 .. 78 match: 31 SD: 1.5898 cents 40 .. 80 match: 31 SD: 1.0535 cents 41 .. 82 match: 31 SD: 1.3231 cents 42 .. 84 match: 33 SD: 1.1524 cents 43 .. 86 match: 34 SD: 1.3495 cents 44 .. 88 match: 35 SD: 1.1589 cents 45 .. 90 match: 34 SD: 1.0732 cents 46 .. 92 match: 32 SD: 1.2572 cents 47 .. 94 match: 33 SD: 1.2319 cents 48 .. 96 match: 35 SD: 1.0292 cents 49 .. 98 match: 37 SD: 1.0640 cents 50 .. 100 match: 35 SD: 1.1441 cents 51 .. 102 match: 36 SD: 1.2363 cents 52 .. 104 match: 35 SD: 1.1929 cents 53 .. 106 match: 36 SD: 1.1146 cents 54 .. 108 match: 35 SD: 0.9642 cents 55 .. 110 match: 35 SD: 0.8574 cents 56 .. 112 match: 36 SD: 0.8753 cents 57 .. 114 match: 36 SD: 1.0479 cents 58 .. 116 match: 38 SD: 0.9892 cents 59 .. 118 match: 38 SD: 0.9152 cents 60 .. 120 match: 39 SD: 0.8829 cents 61 .. 122 match: 35 SD: 0.9294 cents 62 .. 124 match: 36 SD: 0.9453 cents 63 .. 126 match: 37 SD: 0.8559 cents 64 .. 128 match: 38 SD: 0.8618 cents 65 .. 130 match: 38 SD: 0.8594 cents 66 .. 132 match: 38 SD: 0.8198 cents 67 .. 134 match: 38 SD: 0.8751 cents 68 .. 136 match: 37 SD: 0.8892 cents 69 .. 138 match: 38 SD: 0.8956 cents 70 .. 140 match: 39 SD: 0.8218 cents 71 .. 142 match: 39 SD: 0.8789 cents 72 .. 144 match: 37 SD: 0.6793 cents 73 .. 146 match: 37 SD: 0.8200 cents 74 .. 148 match: 36 SD: 0.8400 cents 75 .. 150 match: 36 SD: 0.7970 cents 76 .. 152 match: 36 SD: 0.8141 cents 77 .. 154 match: 37 SD: 0.7037 cents 78 .. 156 match: 37 SD: 0.7709 cents 79 .. 158 match: 39 SD: 0.7456 cents 80 .. 160 match: 40 SD: 0.6467 cents 81 .. 162 match: 40 SD: 0.7079 cents 82 .. 164 match: 40 SD: 0.7589 cents 83 .. 166 match: 37 SD: 0.7209 cents 84 .. 168 match: 37 SD: 0.6382 cents 85 .. 170 match: 36 SD: 0.6568 cents 86 .. 172 match: 37 SD: 0.7281 cents 87 .. 174 match: 38 SD: 0.6948 cents 88 .. 176 match: 38 SD: 0.5541 cents 89 .. 178 match: 38 SD: 0.6048 cents 90 .. 180 match: 40 SD: 0.5515 cents 93 .. 186 match: 40 SD: 0.6917 cents 94 .. 188 match: 39 SD: 0.6604 cents 95 .. 190 match: 39 SD: 0.5727 cents 96 .. 192 match: 39 SD: 0.5168 cents 97 .. 194 match: 39 SD: 0.5828 cents 98 .. 196 match: 38 SD: 0.5000 cents 99 .. 198 match: 38 SD: 0.4756 cents 100 .. 200 match: 39 SD: 0.5176 cents 101 .. 202 match: 38 SD: 0.5501 cents 102 .. 204 match: 39 SD: 0.5253 cents 103 .. 206 match: 39 SD: 0.5324 cents 104 .. 208 match: 39 SD: 0.5202 cents 105 .. 210 match: 39 SD: 0.5441 cents 106 .. 212 match: 39 SD: 0.5900 cents 107 .. 214 match: 39 SD: 0.5508 cents 108 .. 216 match: 39 SD: 0.5134 cents 109 .. 218 match: 39 SD: 0.5398 cents 110 .. 220 match: 40 SD: 0.5326 cents 112 .. 224 match: 41 SD: 0.4983 cents 113 .. 226 match: 40 SD: 0.5393 cents 114 .. 228 match: 40 SD: 0.5447 cents 115 .. 230 match: 40 SD: 0.5544 cents 116 .. 232 match: 38 SD: 0.5677 cents 117 .. 234 match: 38 SD: 0.5169 cents 118 .. 236 match: 38 SD: 0.5129 cents 119 .. 238 match: 39 SD: 0.4723 cents 120 .. 240 match: 39 SD: 0.4043 cents 121 .. 242 match: 40 SD: 0.4401 cents 122 .. 244 match: 40 SD: 0.4835 cents 123 .. 246 match: 40 SD: 0.4971 cents 124 .. 248 match: 40 SD: 0.5015 cents 125 .. 250 match: 40 SD: 0.4488 cents 126 .. 252 match: 40 SD: 0.3993 cents 127 .. 254 match: 39 SD: 0.4588 cents 128 .. 256 match: 38 SD: 0.4128 cents 129 .. 258 match: 38 SD: 0.4487 cents 130 .. 260 match: 39 SD: 0.4447 cents 131 .. 262 match: 39 SD: 0.4525 cents 132 .. 264 match: 40 SD: 0.4143 cents 135 .. 270 match: 41 SD: 0.4081 cents 136 .. 272 match: 41 SD: 0.3991 cents 137 .. 274 match: 40 SD: 0.4191 cents 138 .. 276 match: 39 SD: 0.4152 cents 139 .. 278 match: 39 SD: 0.4140 cents 140 .. 280 match: 39 SD: 0.3742 cents 141 .. 282 match: 39 SD: 0.4350 cents 142 .. 284 match: 40 SD: 0.4322 cents 143 .. 286 match: 39 SD: 0.3652 cents 144 .. 288 match: 39 SD: 0.3296 cents 145 .. 290 match: 39 SD: 0.3870 cents 146 .. 292 match: 39 SD: 0.4214 cents 147 .. 294 match: 40 SD: 0.3984 cents 148 .. 296 match: 40 SD: 0.4134 cents 149 .. 298 match: 39 SD: 0.3846 cents 150 .. 300 match: 40 SD: 0.3537 cents 151 .. 302 match: 40 SD: 0.3696 cents 152 .. 304 match: 40 SD: 0.3413 cents 154 .. 308 match: 41 SD: 0.3335 cents 158 .. 316 match: 39 SD: 0.3715 cents 159 .. 318 match: 39 SD: 0.3846 cents 160 .. 320 match: 38 SD: 0.3311 cents 161 .. 322 match: 39 SD: 0.3397 cents 162 .. 324 match: 39 SD: 0.3352 cents 163 .. 326 match: 40 SD: 0.3551 cents 164 .. 328 match: 40 SD: 0.3713 cents 165 .. 330 match: 40 SD: 0.3296 cents 166 .. 332 match: 40 SD: 0.3526 cents 167 .. 334 match: 40 SD: 0.3352 cents 168 .. 336 match: 40 SD: 0.2702 cents 169 .. 338 match: 40 SD: 0.3434 cents 171 .. 342 match: 40 SD: 0.3637 cents 172 .. 344 match: 40 SD: 0.3797 cents 173 .. 346 match: 39 SD: 0.3720 cents 174 .. 348 match: 40 SD: 0.3629 cents 175 .. 350 match: 41 SD: 0.3338 cents 176 .. 352 match: 41 SD: 0.3246 cents 179 .. 358 match: 40 SD: 0.3026 cents 180 .. 360 match: 40 SD: 0.2602 cents 181 .. 362 match: 40 SD: 0.3068 cents 182 .. 364 match: 39 SD: 0.3076 cents 183 .. 366 match: 39 SD: 0.3286 cents 184 .. 368 match: 40 SD: 0.2983 cents 185 .. 370 match: 40 SD: 0.2991 cents 186 .. 372 match: 40 SD: 0.3055 cents 187 .. 374 match: 40 SD: 0.2971 cents 188 .. 376 match: 39 SD: 0.3090 cents 189 .. 378 match: 40 SD: 0.2780 cents 192 .. 384 match: 41 SD: 0.2649 cents 193 .. 386 match: 40 SD: 0.2911 cents 194 .. 388 match: 40 SD: 0.2970 cents 195 .. 390 match: 41 SD: 0.2853 cents 196 .. 392 match: 41 SD: 0.2735 cents 197 .. 394 match: 41 SD: 0.2699 cents 198 .. 396 match: 41 SD: 0.2293 cents 200 .. 400 match: 40 SD: 0.2394 cents 201 .. 402 match: 40 SD: 0.2924 cents 202 .. 404 match: 40 SD: 0.3067 cents 203 .. 406 match: 40 SD: 0.2981 cents 204 .. 408 match: 39 SD: 0.3211 cents 205 .. 410 match: 40 SD: 0.3054 cents 206 .. 412 match: 40 SD: 0.3057 cents 207 .. 414 match: 40 SD: 0.2829 cents 208 .. 416 match: 40 SD: 0.2608 cents 209 .. 418 match: 40 SD: 0.2549 cents 210 .. 420 match: 41 SD: 0.2386 cents 215 .. 430 match: 40 SD: 0.2857 cents 216 .. 432 match: 41 SD: 0.2491 cents 220 .. 440 match: 41 SD: 0.2474 cents 221 .. 442 match: 40 SD: 0.2522 cents 222 .. 444 match: 40 SD: 0.2477 cents 223 .. 446 match: 40 SD: 0.2497 cents 224 .. 448 match: 40 SD: 0.2097 cents 225 .. 450 match: 40 SD: 0.2430 cents 226 .. 452 match: 40 SD: 0.2636 cents 227 .. 454 match: 40 SD: 0.2512 cents 228 .. 456 match: 40 SD: 0.2431 cents 229 .. 458 match: 40 SD: 0.2465 cents 231 .. 462 match: 41 SD: 0.2339 cents 234 .. 468 match: 41 SD: 0.2309 cents 238 .. 476 match: 41 SD: 0.2297 cents 240 .. 480 match: 41 SD: 0.1949 cents 242 .. 484 match: 40 SD: 0.2186 cents 243 .. 486 match: 40 SD: 0.2339 cents 244 .. 488 match: 40 SD: 0.2543 cents 245 .. 490 match: 40 SD: 0.2304 cents 246 .. 492 match: 40 SD: 0.2472 cents 247 .. 494 match: 40 SD: 0.2471 cents 248 .. 496 match: 40 SD: 0.2248 cents 249 .. 498 match: 40 SD: 0.2319 cents 250 .. 500 match: 41 SD: 0.2245 cents 251 .. 502 match: 41 SD: 0.2198 cents 252 .. 504 match: 41 SD: 0.1823 cents 263 .. 526 match: 40 SD: 0.2261 cents 264 .. 528 match: 40 SD: 0.1897 cents 265 .. 530 match: 40 SD: 0.2175 cents 266 .. 532 match: 40 SD: 0.2209 cents 267 .. 534 match: 40 SD: 0.2355 cents 268 .. 536 match: 40 SD: 0.2336 cents 269 .. 538 match: 40 SD: 0.2184 cents 270 .. 540 match: 41 SD: 0.1993 cents 279 .. 558 match: 41 SD: 0.1956 cents 280 .. 560 match: 41 SD: 0.1592 cents 284 .. 568 match: 40 SD: 0.2039 cents 285 .. 570 match: 40 SD: 0.2007 cents 286 .. 572 match: 40 SD: 0.1974 cents 287 .. 574 match: 40 SD: 0.1826 cents 288 .. 576 match: 40 SD: 0.1618 cents 289 .. 578 match: 40 SD: 0.1916 cents 294 .. 588 match: 41 SD: 0.1715 cents 296 .. 592 match: 41 SD: 0.1703 cents 297 .. 594 match: 41 SD: 0.1633 cents 305 .. 610 match: 40 SD: 0.1942 cents 306 .. 612 match: 40 SD: 0.1918 cents 307 .. 614 match: 40 SD: 0.2029 cents 308 .. 616 match: 40 SD: 0.1879 cents 309 .. 618 match: 40 SD: 0.2045 cents 310 .. 620 match: 41 SD: 0.1958 cents 311 .. 622 match: 41 SD: 0.1915 cents 312 .. 624 match: 41 SD: 0.1729 cents 315 .. 630 match: 41 SD: 0.1669 cents 319 .. 638 match: 41 SD: 0.1568 cents 320 .. 640 match: 41 SD: 0.1497 cents 326 .. 652 match: 40 SD: 0.1882 cents 327 .. 654 match: 40 SD: 0.1848 cents 328 .. 656 match: 40 SD: 0.1672 cents 329 .. 658 match: 40 SD: 0.1607 cents 330 .. 660 match: 41 SD: 0.1577 cents 336 .. 672 match: 41 SD: 0.1489 cents 347 .. 694 match: 40 SD: 0.1668 cents 348 .. 696 match: 40 SD: 0.1638 cents 349 .. 698 match: 40 SD: 0.1645 cents 350 .. 700 match: 41 SD: 0.1498 cents 352 .. 704 match: 41 SD: 0.1461 cents 360 .. 720 match: 41 SD: 0.1118 cents 368 .. 736 match: 40 SD: 0.1645 cents 369 .. 738 match: 40 SD: 0.1700 cents 370 .. 740 match: 41 SD: 0.1693 cents 371 .. 742 match: 41 SD: 0.1640 cents 373 .. 746 match: 41 SD: 0.1593 cents 374 .. 748 match: 41 SD: 0.1479 cents 375 .. 750 match: 41 SD: 0.1471 cents 376 .. 752 match: 41 SD: 0.1363 cents 377 .. 754 match: 41 SD: 0.1358 cents 378 .. 756 match: 41 SD: 0.1132 cents 389 .. 778 match: 40 SD: 0.1456 cents 390 .. 780 match: 41 SD: 0.1414 cents 392 .. 784 match: 41 SD: 0.1238 cents 418 .. 836 match: 41 SD: 0.1209 cents 420 .. 840 match: 41 SD: 0.1014 cents 440 .. 880 match: 41 SD: 0.0971 cents 480 .. 960 match: 41 SD: 0.0836 cents 576 .. 1152 match: 41 SD: 0.0830 cents