Scala analysis: sk13
13-limit JI scale with 14 complete septads
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 33/32 53.272943 undecimal comma, al-Farabi's 1/4-tone 2: 27/26 65.337341 tridecimal comma 3: 21/20 84.467193 minor semitone 4: 15/14 119.442808 major diatonic semitone 5: 13/12 138.572661 tridecimal 2/3-tone 6: 12/11 150.637059 undecimal neutral second, 3/4-tone 7: 9/8 203.910002 major whole tone 8: 15/13 247.741053 tridecimal 5/4-tone 9: 7/6 266.870906 septimal minor third 10: 33/28 284.447037 undecimal minor third 11: 6/5 315.641287 minor third 12: 39/32 342.482663 39th harmonic, Zalzal wosta of Ibn Sina 13: 27/22 354.547060 neutral third, Zalzal wosta of al-Farabi 14: 5/4 386.313714 major third 15: 33/26 412.745281 tridecimal major third 16: 9/7 435.084095 septimal major third, BP third 17: 21/16 470.780907 narrow fourth 18: 4/3 498.044999 perfect fourth 19: 27/20 519.551289 acute fourth 20: 15/11 536.950772 undecimal augmented fourth 21: 11/8 551.317942 undecimal semi-augmented fourth 22: 18/13 563.382340 tridecimal augmented fourth 23: 39/28 573.656756 24: 3/2 701.955001 perfect fifth 25: 21/13 830.253246 26: 13/8 840.527662 tridecimal neutral sixth 27: 18/11 852.592059 undecimal neutral sixth 28: 33/20 866.959229 29: 5/3 884.358713 major sixth, BP sixth 30: 27/16 905.865003 Pythagorean major sixth 31: 12/7 933.129094 septimal major sixth 32: 7/4 968.825906 harmonic seventh 33: 39/22 991.164720 34: 9/5 1017.596288 just minor seventh, BP seventh 35: 11/6 1049.362941 undecimal neutral seventh, 21/4-tone 36: 24/13 1061.427339 tridecimal neutral seventh 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: 39/20 1156.168949 41: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 40/39 43.8311 tridecimal minor diesis 1: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 2: 144/143 12.0644 Grossma 3: 91/90 19.1299 medium tridecimal comma, superleap 4: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 5: 91/90 19.1299 medium tridecimal comma, superleap 6: 144/143 12.0644 Grossma 7: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 8: 40/39 43.8311 tridecimal minor diesis 9: 91/90 19.1299 medium tridecimal comma, superleap 10: 99/98 17.5761 small undecimal comma 11: 56/55 31.1943 undecimal diesis, konbini comma 12: 65/64 26.8414 13th-partial chroma 13: 144/143 12.0644 Grossma 14: 55/54 31.7667 telepathma 15: 66/65 26.4316 Winmeanma 16: 78/77 22.3388 tridecimal minor third comma 17: 49/48 35.6968 slendro diesis, septimal 1/6-tone 18: 64/63 27.2641 septimal comma, Archytas' comma 19: 81/80 21.5063 syntonic comma, Didymus comma 20: 100/99 17.3995 Ptolemy's comma 21: 121/120 14.3672 undecimal seconds comma, biyatisma 22: 144/143 12.0644 Grossma 23: 169/168 10.2744 Schulter's comma 24: 14/13 128.2982 2/3-tone 25: 14/13 128.2982 2/3-tone 26: 169/168 10.2744 Schulter's comma 27: 144/143 12.0644 Grossma 28: 121/120 14.3672 undecimal seconds comma, biyatisma 29: 100/99 17.3995 Ptolemy's comma 30: 81/80 21.5063 syntonic comma, Didymus comma 31: 64/63 27.2641 septimal comma, Archytas' comma 32: 49/48 35.6968 slendro diesis, septimal 1/6-tone 33: 78/77 22.3388 tridecimal minor third comma 34: 66/65 26.4316 Winmeanma 35: 55/54 31.7667 telepathma 36: 144/143 12.0644 Grossma 37: 65/64 26.8414 13th-partial chroma 38: 56/55 31.1943 undecimal diesis, konbini comma 39: 99/98 17.5761 small undecimal comma 40: 91/90 19.1299 medium tridecimal comma, superleap 41: 40/39 43.8311 tridecimal minor diesis
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 169/168 10.274 cents Schulter's comma 1: 6 144/143 12.064 cents Grossma 1: 2 121/120 14.367 cents undecimal seconds comma, biyatisma 1: 2 100/99 17.399 cents Ptolemy's comma 1: 2 99/98 17.576 cents small undecimal comma 1: 4 91/90 19.130 cents medium tridecimal comma, superleap 1: 2 81/80 21.506 cents syntonic comma, Didymus comma 1: 2 78/77 22.339 cents tridecimal minor third comma 1: 2 66/65 26.432 cents Winmeanma 1: 2 65/64 26.841 cents 13th-partial chroma 1: 2 64/63 27.264 cents septimal comma, Archytas' comma 1: 2 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: 2 49/48 35.697 cents slendro diesis, septimal 1/6-tone 1: 2 40/39 43.831 cents tridecimal minor diesis 1: 2 33/32 53.273 cents undecimal comma, al-Farabi's 1/4-tone 1: 2 14/13 128.298 cents 2/3-tone 2: 2 78/77 22.339 cents tridecimal minor third comma 2: 2 66/65 26.432 cents Winmeanma 2: 2 56/55 31.194 cents undecimal diesis, konbini comma 2: 2 55/54 31.767 cents telepathma 2: 2 143/140 36.706 cents 2: 4 45/44 38.906 cents 1/5-tone 2: 2 40/39 43.831 cents tridecimal minor diesis 2: 6 36/35 48.770 cents septimal diesis, 1/4-tone 2: 2 65/63 54.105 cents 2: 4 91/88 58.036 cents 2: 2 121/117 58.198 cents 2: 4 28/27 62.961 cents Archytas' 1/3-tone 2: 2 27/26 65.337 cents tridecimal comma 2: 2 55/52 97.104 cents 2: 2 13/12 138.573 cents tridecimal 2/3-tone 2: 1 196/169 256.596 cents two (2/3-tone) 3: 2 143/140 36.706 cents 3: 2 40/39 43.831 cents tridecimal minor diesis 3: 2 33/32 53.273 cents undecimal comma, al-Farabi's 1/4-tone 3: 4 80/77 66.170 cents 3: 2 26/25 67.900 cents tridecimal 1/3-tone 3: 2 126/121 70.100 cents 3: 2 176/169 70.263 cents 3: 2 25/24 70.672 cents classic chromatic semitone, minor chroma 3: 1 169/162 73.235 cents 3: 2 117/112 75.612 cents 3: 4 22/21 80.537 cents undecimal minor semitone 3: 6 21/20 84.467 cents minor semitone 3: 2 104/99 85.300 cents 3: 2 180/169 109.168 cents 3: 2 77/72 116.234 cents undecimal secor 3: 2 12/11 150.637 cents undecimal neutral second, 3/4-tone 3: 2 7/6 266.871 cents septimal minor third 4: 2 65/63 54.105 cents 4: 2 27/26 65.337 cents tridecimal comma 4: 2 22/21 80.537 cents undecimal minor semitone 4: 2 104/99 85.300 cents 4: 2 81/77 87.676 cents 4: 2 96/91 92.601 cents 4: 2 169/160 94.742 cents 4: 2 55/52 97.104 cents 4: 4 35/33 101.867 cents 4: 2 117/110 106.806 cents 4: 4 16/15 111.731 cents minor diatonic semitone 4: 2 77/72 116.234 cents undecimal secor 4: 2 15/14 119.443 cents major diatonic semitone 4: 4 14/13 128.298 cents 2/3-tone 4: 2 121/112 133.810 cents 4: 2 11/10 165.004 cents Ptolemy's second, 4/5-tone 4: 1 169/144 277.145 cents two (tridecimal 2/3-tone) 4: 2 168/143 278.935 cents 5: 2 117/112 75.612 cents 5: 2 96/91 92.601 cents 5: 1 128/121 97.364 cents undecimal semitone 5: 2 117/110 106.806 cents 5: 2 77/72 116.234 cents undecimal secor 5: 4 15/14 119.443 cents major diatonic semitone 5: 2 130/121 124.205 cents 5: 4 14/13 128.298 cents 2/3-tone 5: 2 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 5: 4 13/12 138.573 cents tridecimal 2/3-tone 5: 2 88/81 143.498 cents 2nd undecimal neutral second 5: 2 99/91 145.874 cents 5: 2 49/45 147.428 cents BP minor semitone 5: 2 100/91 163.274 cents 5: 2 11/10 165.004 cents Ptolemy's second, 4/5-tone 5: 2 10/9 182.404 cents minor whole tone 5: 2 13/11 289.210 cents tridecimal minor third 5: 2 77/65 293.302 cents 6: 2 52/49 102.876 cents 6: 2 14/13 128.298 cents 2/3-tone 6: 4 13/12 138.573 cents tridecimal 2/3-tone 6: 2 99/91 145.874 cents 6: 8 12/11 150.637 cents undecimal neutral second, 3/4-tone 6: 2 35/32 155.140 cents septimal neutral second 6: 2 128/117 155.562 cents 6: 4 11/10 165.004 cents Ptolemy's second, 4/5-tone 6: 2 72/65 177.069 cents 6: 4 10/9 182.404 cents minor whole tone 6: 2 143/128 191.846 cents 6: 2 9/8 203.910 cents major whole tone 6: 1 144/121 301.274 cents two (undecimal neutral second, 3/4-tone) 6: 2 143/120 303.577 cents 6: 2 140/117 310.702 cents 7: 2 13/12 138.573 cents tridecimal 2/3-tone 7: 2 12/11 150.637 cents undecimal neutral second, 3/4-tone 7: 4 11/10 165.004 cents Ptolemy's second, 4/5-tone 7: 2 54/49 168.213 cents Zalzal's mujannab 7: 2 72/65 177.069 cents 7: 6 10/9 182.404 cents minor whole tone 7: 2 49/44 186.334 cents undecimal minor whole tone 7: 2 160/143 194.468 cents 7: 2 28/25 196.198 cents middle second 7: 2 55/49 199.980 cents quasi-equal major second 7: 2 91/81 201.534 cents 7: 5 9/8 203.910 cents major whole tone 7: 2 8/7 231.174 cents septimal whole tone 7: 2 6/5 315.641 cents minor third 7: 2 65/54 320.976 cents 7: 2 63/52 332.208 cents 8: 2 169/154 160.911 cents 8: 2 72/65 177.069 cents 8: 2 39/35 187.343 cents 8: 2 160/143 194.468 cents 8: 2 121/108 196.771 cents 8: 4 9/8 203.910 cents major whole tone 8: 2 44/39 208.835 cents 8: 4 112/99 213.598 cents 8: 2 162/143 215.974 cents 8: 2 143/126 219.110 cents 8: 2 91/80 223.040 cents 8: 2 8/7 231.174 cents septimal whole tone 8: 2 55/48 235.677 cents undecimal semi-augmented whole tone 8: 2 15/13 247.741 cents tridecimal 5/4-tone 8: 2 7/6 266.871 cents septimal minor third 8: 1 121/100 330.008 cents two (Ptolemy's second, 4/5-tone) 8: 2 40/33 333.041 cents 8: 2 39/32 342.483 cents 39th harmonic, Zalzal wosta of Ibn Sina 8: 2 16/13 359.472 cents tridecimal neutral third 9: 2 39/35 187.343 cents 9: 4 44/39 208.835 cents 9: 2 25/22 221.309 cents undecimal acute whole tone 9: 2 91/80 223.040 cents 9: 6 8/7 231.174 cents septimal whole tone 9: 4 63/55 235.104 cents 9: 2 15/13 247.741 cents tridecimal 5/4-tone 9: 2 52/45 250.304 cents 9: 2 65/56 258.015 cents 9: 2 121/104 262.108 cents 9: 2 7/6 266.871 cents septimal minor third 9: 2 13/11 289.210 cents tridecimal minor third 9: 1 200/169 291.572 cents 9: 2 11/9 347.408 cents undecimal neutral third 9: 2 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 9: 2 26/21 369.747 cents 9: 2 49/39 395.169 cents 10: 2 143/126 219.110 cents 10: 2 192/169 220.900 cents 10: 2 55/48 235.677 cents undecimal semi-augmented whole tone 10: 2 52/45 250.304 cents 10: 2 140/121 252.504 cents 10: 2 81/70 252.680 cents Al-Hwarizmi's lute middle finger 10: 2 64/55 262.368 cents 10: 4 7/6 266.871 cents septimal minor third 10: 2 90/77 270.080 cents 10: 2 198/169 274.173 cents 10: 2 169/144 277.145 cents two (tridecimal 2/3-tone) 10: 4 33/28 284.447 cents undecimal minor third 10: 2 140/117 310.702 cents 10: 2 6/5 315.641 cents minor third 10: 1 100/81 364.807 cents grave major third 10: 2 99/80 368.914 cents 10: 2 96/77 381.811 cents 10: 2 91/72 405.444 cents 10: 2 14/11 417.508 cents undecimal diminished fourth or major third 11: 2 8/7 231.174 cents septimal whole tone 11: 2 15/13 247.741 cents tridecimal 5/4-tone 11: 2 7/6 266.871 cents septimal minor third 11: 2 90/77 270.080 cents 11: 2 117/100 271.810 cents 11: 4 13/11 289.210 cents tridecimal minor third 11: 2 77/65 293.302 cents 11: 2 32/27 294.135 cents Pythagorean minor third 11: 2 108/91 296.511 cents 11: 2 25/21 301.847 cents BP second, quasi-equal minor third 11: 2 6/5 315.641 cents minor third 11: 2 77/64 320.144 cents Keemun minor third 11: 2 110/91 328.278 cents 11: 1 98/81 329.832 cents 11: 2 11/9 347.408 cents undecimal neutral third 11: 2 5/4 386.314 cents major third 11: 2 44/35 396.178 cents 11: 2 14/11 417.508 cents undecimal diminished fourth or major third 11: 2 169/132 427.782 cents 11: 2 84/65 443.940 cents 12: 2 65/56 258.015 cents 12: 2 168/143 278.935 cents 12: 2 33/28 284.447 cents undecimal minor third 12: 2 13/11 289.210 cents tridecimal minor third 12: 2 144/121 301.274 cents two (undecimal neutral second, 3/4-tone) 12: 4 6/5 315.641 cents minor third 12: 2 65/54 320.976 cents 12: 2 110/91 328.278 cents 12: 2 63/52 332.208 cents 12: 2 39/32 342.483 cents 39th harmonic, Zalzal wosta of Ibn Sina 12: 4 11/9 347.408 cents undecimal neutral third 12: 4 16/13 359.472 cents tridecimal neutral third 12: 1 81/64 407.820 cents Pythagorean major third 12: 2 80/63 413.578 cents wide major third 12: 2 77/60 431.875 cents 12: 2 156/121 439.847 cents 12: 2 13/10 454.214 cents tridecimal semi-diminished fourth 12: 2 154/117 475.706 cents 13: 2 13/11 289.210 cents tridecimal minor third 13: 2 108/91 296.511 cents 13: 2 143/120 303.577 cents 13: 4 40/33 333.041 cents 13: 2 11/9 347.408 cents undecimal neutral third 13: 2 60/49 350.617 cents smaller approximation to neutral third 13: 2 49/40 351.338 cents larger approximation to neutral third 13: 2 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 13: 2 16/13 359.472 cents tridecimal neutral third 13: 1 121/98 364.984 cents 13: 2 99/80 368.914 cents 13: 2 56/45 378.602 cents septimal narrow major third 13: 4 5/4 386.314 cents major third 13: 2 9/7 435.084 cents septimal major third, BP third 13: 2 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 13: 2 13/10 454.214 cents tridecimal semi-diminished fourth 13: 2 72/55 466.278 cents undecimal semi-diminished fourth 13: 2 143/108 485.981 cents 13: 2 224/169 487.771 cents 14: 2 117/98 306.786 cents 14: 2 6/5 315.641 cents minor third 14: 2 11/9 347.408 cents undecimal neutral third 14: 2 16/13 359.472 cents tridecimal neutral third 14: 2 26/21 369.747 cents 14: 2 56/45 378.602 cents septimal narrow major third 14: 2 81/65 380.979 cents 14: 6 5/4 386.314 cents major third 14: 2 44/35 396.178 cents 14: 2 180/143 398.378 cents 14: 2 91/72 405.444 cents 14: 2 14/11 417.508 cents undecimal diminished fourth or major third 14: 1 64/49 462.348 cents 2 septatones or septatonic major third 14: 2 21/16 470.781 cents narrow fourth 14: 2 130/99 471.613 cents 14: 2 33/25 480.646 cents 2 pentatones 14: 4 4/3 498.045 cents perfect fourth 14: 2 35/26 514.612 cents 15: 2 169/140 325.916 cents 15: 2 16/13 359.472 cents tridecimal neutral third 15: 2 96/77 381.811 cents 15: 2 180/143 398.378 cents 15: 2 63/50 400.108 cents quasi-equal major third 15: 2 121/96 400.681 cents 15: 2 91/72 405.444 cents 15: 2 33/26 412.745 cents tridecimal major third 15: 2 80/63 413.578 cents wide major third 15: 2 14/11 417.508 cents undecimal diminished fourth or major third 15: 2 143/112 423.020 cents 15: 1 32/25 427.373 cents classic diminished fourth 15: 2 50/39 430.145 cents 15: 2 9/7 435.084 cents septimal major third, BP third 15: 2 117/88 493.120 cents tridecimal gentle fourth 15: 4 4/3 498.045 cents perfect fourth 15: 2 192/143 510.109 cents 15: 2 121/90 512.412 cents 15: 2 65/48 524.886 cents 15: 2 196/143 545.806 cents 16: 2 26/21 369.747 cents 16: 4 33/26 412.745 cents tridecimal major third 16: 4 14/11 417.508 cents undecimal diminished fourth or major third 16: 2 104/81 432.708 cents 16: 6 9/7 435.084 cents septimal major third, BP third 16: 2 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 16: 4 13/10 454.214 cents tridecimal semi-diminished fourth 16: 2 220/169 456.576 cents 16: 2 27/20 519.551 cents acute fourth 16: 2 104/77 520.384 cents 16: 2 88/65 524.477 cents 16: 2 110/81 529.812 cents 16: 1 49/36 533.742 cents Arabic lute acute fourth 16: 2 15/11 536.951 cents undecimal augmented fourth 16: 2 91/66 556.081 cents 16: 2 18/13 563.382 cents tridecimal augmented fourth 17: 2 143/112 423.020 cents 17: 2 216/169 424.810 cents 17: 2 77/60 431.875 cents 17: 2 128/99 444.772 cents 17: 2 100/77 452.484 cents 17: 2 13/10 454.214 cents tridecimal semi-diminished fourth 17: 2 72/55 466.278 cents undecimal semi-diminished fourth 17: 2 55/42 466.851 cents 17: 2 21/16 470.781 cents narrow fourth 17: 2 154/117 475.706 cents 17: 2 120/91 478.915 cents 17: 1 169/128 481.055 cents 17: 2 4/3 498.045 cents perfect fourth 17: 2 160/117 541.876 cents 17: 2 48/35 546.815 cents septimal semi-augmented fourth 17: 4 11/8 551.318 cents undecimal semi-augmented fourth 17: 2 91/66 556.081 cents 17: 2 168/121 568.145 cents 17: 2 39/28 573.657 cents 17: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 18: 2 9/7 435.084 cents septimal major third, BP third 18: 2 84/65 443.940 cents 18: 2 72/55 466.278 cents undecimal semi-diminished fourth 18: 2 55/42 466.851 cents 18: 2 130/99 471.613 cents 18: 2 117/88 493.120 cents tridecimal gentle fourth 18: 2 121/91 493.282 cents 18: 6 4/3 498.045 cents perfect fourth 18: 2 35/26 514.612 cents 18: 2 11/8 551.318 cents undecimal semi-augmented fourth 18: 2 18/13 563.382 cents tridecimal augmented fourth 18: 2 25/18 568.717 cents classic augmented fourth 18: 1 169/121 578.419 cents two (tridecimal minor third) 18: 2 88/63 578.582 cents 18: 4 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 18: 2 108/77 585.721 cents 18: 2 169/120 592.787 cents 18: 2 56/39 626.343 cents 19: 2 13/10 454.214 cents tridecimal semi-diminished fourth 19: 2 120/91 478.915 cents 19: 2 160/121 483.678 cents 19: 2 143/108 485.981 cents 19: 1 162/121 505.184 cents 19: 2 66/49 515.621 cents 19: 2 27/20 519.551 cents acute fourth 19: 2 88/65 524.477 cents 19: 2 65/48 524.886 cents 19: 2 49/36 533.742 cents Arabic lute acute fourth 19: 2 160/117 541.876 cents 19: 2 18/13 563.382 cents tridecimal augmented fourth 19: 2 45/32 590.224 cents diatonic tritone 19: 2 128/91 590.646 cents 19: 2 140/99 599.912 cents quasi-equal tritone 19: 2 99/70 600.088 cents 2nd quasi-equal tritone 19: 4 78/55 604.851 cents 19: 2 77/54 614.279 cents 19: 2 13/9 636.618 cents tridecimal diminished fifth 19: 2 77/52 679.616 cents 20: 2 65/49 489.190 cents 20: 4 4/3 498.045 cents perfect fourth 20: 4 15/11 536.951 cents undecimal augmented fourth 20: 2 48/35 546.815 cents septimal semi-augmented fourth 20: 4 11/8 551.318 cents undecimal semi-augmented fourth 20: 2 112/81 561.006 cents 20: 2 18/13 563.382 cents tridecimal augmented fourth 20: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 20: 4 10/7 617.488 cents Euler's tritone 20: 2 143/100 619.218 cents 20: 2 63/44 621.418 cents 20: 2 56/39 626.343 cents 20: 1 36/25 631.283 cents classic diminished fifth 20: 2 13/9 636.618 cents tridecimal diminished fifth 20: 2 16/11 648.682 cents undecimal semi-diminished fifth 20: 2 143/96 689.891 cents 20: 2 252/169 691.681 cents 21: 2 169/126 508.319 cents 21: 2 192/143 510.109 cents 21: 2 11/8 551.318 cents undecimal semi-augmented fourth 21: 2 18/13 563.382 cents tridecimal augmented fourth 21: 1 25/18 568.717 cents classic augmented fourth 21: 2 39/28 573.657 cents 21: 2 88/63 578.582 cents 21: 2 200/143 580.782 cents 21: 4 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 21: 2 10/7 617.488 cents Euler's tritone 21: 2 13/9 636.618 cents tridecimal diminished fifth 21: 2 81/56 638.994 cents 21: 4 16/11 648.682 cents undecimal semi-diminished fifth 21: 2 35/24 653.185 cents septimal semi-diminished fifth 21: 4 22/15 663.049 cents undecimal diminished fifth 21: 4 3/2 701.955 cents perfect fifth 21: 2 98/65 710.810 cents 22: 2 104/77 520.384 cents 22: 2 18/13 563.382 cents tridecimal augmented fourth 22: 2 108/77 585.721 cents 22: 4 55/39 595.149 cents 22: 2 140/99 599.912 cents quasi-equal tritone 22: 2 99/70 600.088 cents 2nd quasi-equal tritone 22: 2 91/64 609.354 cents 22: 2 64/45 609.776 cents 2nd tritone 22: 2 13/9 636.618 cents tridecimal diminished fifth 22: 2 117/80 658.124 cents 22: 2 72/49 666.258 cents Arabic lute grave fifth 22: 2 96/65 675.114 cents 22: 2 65/44 675.523 cents 22: 2 40/27 680.449 cents grave fifth 22: 2 49/33 684.379 cents 22: 1 121/81 694.816 cents two (undecimal neutral third) 22: 2 216/143 714.019 cents 22: 2 121/80 716.322 cents 22: 2 91/60 721.085 cents 22: 2 20/13 745.786 cents tridecimal semi-augmented fifth 23: 2 39/28 573.657 cents 23: 2 240/169 607.213 cents 23: 2 77/54 614.279 cents 23: 4 10/7 617.488 cents Euler's tritone 23: 2 63/44 621.418 cents 23: 1 242/169 621.581 cents 23: 2 36/25 631.283 cents classic diminished fifth 23: 2 13/9 636.618 cents tridecimal diminished fifth 23: 2 16/11 648.682 cents undecimal semi-diminished fifth 23: 2 52/35 685.388 cents 23: 6 3/2 701.955 cents perfect fifth 23: 2 182/121 706.718 cents 23: 2 176/117 706.880 cents 23: 2 99/65 728.387 cents 23: 2 84/55 733.149 cents 23: 2 55/36 733.722 cents undecimal semi-augmented fifth 23: 2 65/42 756.060 cents 23: 2 14/9 764.916 cents septimal minor sixth 24: 2 10/7 617.488 cents Euler's tritone 24: 2 56/39 626.343 cents 24: 2 121/84 631.855 cents 24: 2 132/91 643.919 cents 24: 4 16/11 648.682 cents undecimal semi-diminished fifth 24: 2 35/24 653.185 cents septimal semi-diminished fifth 24: 2 117/80 658.124 cents 24: 2 3/2 701.955 cents perfect fifth 24: 1 256/169 718.945 cents two (tridecimal neutral third) 24: 2 91/60 721.085 cents 24: 2 117/77 724.294 cents 24: 2 32/21 729.219 cents wide fifth 24: 2 84/55 733.149 cents 24: 2 55/36 733.722 cents undecimal semi-augmented fifth 24: 2 20/13 745.786 cents tridecimal semi-augmented fifth 24: 2 77/50 747.516 cents 24: 2 99/64 755.228 cents 24: 2 120/77 768.125 cents 24: 2 169/108 775.190 cents 24: 2 224/143 776.980 cents 25: 2 13/9 636.618 cents tridecimal diminished fifth 25: 2 132/91 643.919 cents 25: 2 22/15 663.049 cents undecimal diminished fifth 25: 1 72/49 666.258 cents Arabic lute grave fifth 25: 2 81/55 670.188 cents 25: 2 65/44 675.523 cents 25: 2 77/52 679.616 cents 25: 2 40/27 680.449 cents grave fifth 25: 2 169/110 743.424 cents 25: 4 20/13 745.786 cents tridecimal semi-augmented fifth 25: 2 54/35 750.725 cents septimal semi-augmented fifth 25: 6 14/9 764.916 cents septimal minor sixth 25: 2 81/52 767.292 cents 25: 4 11/7 782.492 cents undecimal augmented fifth 25: 4 52/33 787.255 cents tridecimal minor sixth 25: 2 21/13 830.253 cents 26: 2 143/98 654.194 cents 26: 2 96/65 675.114 cents 26: 2 180/121 687.588 cents 26: 2 143/96 689.891 cents 26: 4 3/2 701.955 cents perfect fifth 26: 2 176/117 706.880 cents 26: 2 14/9 764.916 cents septimal minor sixth 26: 2 39/25 769.855 cents 26: 1 25/16 772.627 cents classic augmented fifth 26: 2 224/143 776.980 cents 26: 2 11/7 782.492 cents undecimal augmented fifth 26: 2 63/40 786.422 cents narrow minor sixth 26: 2 52/33 787.255 cents tridecimal minor sixth 26: 2 144/91 794.556 cents 26: 2 192/121 799.319 cents 26: 2 100/63 799.892 cents quasi-equal minor sixth 26: 2 143/90 801.622 cents 26: 2 77/48 818.189 cents 26: 2 13/8 840.528 cents tridecimal neutral sixth 26: 2 280/169 874.084 cents 27: 2 52/35 685.388 cents 27: 4 3/2 701.955 cents perfect fifth 27: 2 50/33 719.354 cents 3 pentatones 27: 2 99/65 728.387 cents 27: 2 32/21 729.219 cents wide fifth 27: 1 49/32 737.652 cents 27: 2 11/7 782.492 cents undecimal augmented fifth 27: 2 144/91 794.556 cents 27: 2 143/90 801.622 cents 27: 2 35/22 803.822 cents 27: 6 8/5 813.686 cents minor sixth 27: 2 130/81 819.021 cents 27: 2 45/28 821.398 cents septimale wide minor sixth 27: 2 21/13 830.253 cents 27: 2 13/8 840.528 cents tridecimal neutral sixth 27: 2 18/11 852.592 cents undecimal neutral sixth 27: 2 5/3 884.359 cents major sixth, BP sixth 27: 2 196/117 893.214 cents 28: 2 169/112 712.229 cents 28: 2 216/143 714.019 cents 28: 2 55/36 733.722 cents undecimal semi-augmented fifth 28: 2 20/13 745.786 cents tridecimal semi-augmented fifth 28: 2 54/35 750.725 cents septimal semi-augmented fifth 28: 2 14/9 764.916 cents septimal minor sixth 28: 4 8/5 813.686 cents minor sixth 28: 2 45/28 821.398 cents septimale wide minor sixth 28: 2 160/99 831.086 cents 28: 1 196/121 835.016 cents two (undecimal diminished fourth or major third) 28: 2 13/8 840.528 cents tridecimal neutral sixth 28: 2 44/27 845.453 cents neutral sixth 28: 2 80/49 848.662 cents smaller approximation to neutral sixth 28: 2 49/30 849.383 cents larger approximation to neutral sixth 28: 2 18/11 852.592 cents undecimal neutral sixth 28: 4 33/20 866.959 cents 28: 2 240/143 896.423 cents 28: 2 91/54 903.489 cents 28: 2 22/13 910.790 cents tridecimal major sixth 29: 2 117/77 724.294 cents 29: 2 20/13 745.786 cents tridecimal semi-augmented fifth 29: 2 121/78 760.153 cents 29: 2 120/77 768.125 cents 29: 2 63/40 786.422 cents narrow minor sixth 29: 1 128/81 792.180 cents Pythagorean minor sixth 29: 4 13/8 840.528 cents tridecimal neutral sixth 29: 4 18/11 852.592 cents undecimal neutral sixth 29: 2 64/39 857.517 cents 39th subharmonic 29: 2 104/63 867.792 cents 29: 2 91/55 871.722 cents 29: 2 108/65 879.024 cents 29: 4 5/3 884.359 cents major sixth, BP sixth 29: 2 121/72 898.726 cents 29: 2 22/13 910.790 cents tridecimal major sixth 29: 2 56/33 915.553 cents 29: 2 143/84 921.065 cents 29: 2 112/65 941.985 cents 30: 2 65/42 756.060 cents 30: 2 264/169 772.218 cents 30: 2 11/7 782.492 cents undecimal augmented fifth 30: 2 35/22 803.822 cents 30: 2 8/5 813.686 cents minor sixth 30: 2 18/11 852.592 cents undecimal neutral sixth 30: 1 81/49 870.168 cents two (septimal major third, BP third) 30: 2 91/55 871.722 cents 30: 2 128/77 879.856 cents 30: 2 5/3 884.359 cents major sixth, BP sixth 30: 2 42/25 898.153 cents quasi-equal major sixth 30: 2 91/54 903.489 cents 30: 2 27/16 905.865 cents Pythagorean major sixth 30: 2 130/77 906.698 cents 30: 4 22/13 910.790 cents tridecimal major sixth 30: 2 200/117 928.190 cents 30: 2 77/45 929.920 cents 30: 2 12/7 933.129 cents septimal major sixth 30: 2 26/15 952.259 cents tridecimal semi-augmented sixth 30: 2 7/4 968.826 cents harmonic seventh 31: 2 11/7 782.492 cents undecimal augmented fifth 31: 2 144/91 794.556 cents 31: 2 77/48 818.189 cents 31: 2 160/99 831.086 cents 31: 1 81/50 835.193 cents acute minor sixth 31: 2 5/3 884.359 cents major sixth, BP sixth 31: 2 117/70 889.298 cents 31: 4 56/33 915.553 cents 31: 2 288/169 922.855 cents 31: 2 169/99 925.827 cents 31: 2 77/45 929.920 cents 31: 4 12/7 933.129 cents septimal major sixth 31: 2 55/32 937.632 cents 31: 2 140/81 947.320 cents 31: 2 121/70 947.496 cents 31: 2 45/26 949.696 cents 31: 2 96/55 964.323 cents 31: 2 169/96 979.100 cents 31: 2 252/143 980.890 cents 32: 2 78/49 804.831 cents 32: 2 21/13 830.253 cents 32: 2 44/27 845.453 cents neutral sixth 32: 2 18/11 852.592 cents undecimal neutral sixth 32: 1 169/100 908.428 cents two (tridecimal semi-diminished fourth) 32: 2 22/13 910.790 cents tridecimal major sixth 32: 2 12/7 933.129 cents septimal major sixth 32: 2 208/121 937.892 cents 32: 2 112/65 941.985 cents 32: 2 45/26 949.696 cents 32: 2 26/15 952.259 cents tridecimal semi-augmented sixth 32: 4 110/63 964.896 cents 32: 6 7/4 968.826 cents harmonic seventh 32: 2 160/91 976.960 cents 32: 2 44/25 978.691 cents undecimal grave minor seventh 32: 4 39/22 991.165 cents 32: 2 70/39 1012.657 cents 33: 2 13/8 840.528 cents tridecimal neutral sixth 33: 2 64/39 857.517 cents 39th subharmonic 33: 2 33/20 866.959 cents 33: 1 200/121 869.992 cents 33: 2 12/7 933.129 cents septimal major sixth 33: 2 26/15 952.259 cents tridecimal semi-augmented sixth 33: 2 96/55 964.323 cents 33: 2 7/4 968.826 cents harmonic seventh 33: 2 160/91 976.960 cents 33: 2 252/143 980.890 cents 33: 2 143/81 984.026 cents 33: 4 99/56 986.402 cents 33: 2 39/22 991.165 cents 33: 4 16/9 996.090 cents Pythagorean minor seventh 33: 2 216/121 1003.229 cents 33: 2 143/80 1005.532 cents 33: 2 70/39 1012.657 cents 33: 2 65/36 1022.931 cents 33: 2 308/169 1039.089 cents 34: 2 104/63 867.792 cents 34: 2 108/65 879.024 cents 34: 2 5/3 884.359 cents major sixth, BP sixth 34: 2 7/4 968.826 cents harmonic seventh 34: 5 16/9 996.090 cents Pythagorean minor seventh 34: 2 162/91 998.466 cents 34: 2 98/55 1000.020 cents quasi-equal minor seventh 34: 2 25/14 1003.802 cents middle minor seventh 34: 2 143/80 1005.532 cents 34: 2 88/49 1013.666 cents undecimal minor seventh 34: 6 9/5 1017.596 cents just minor seventh, BP seventh 34: 2 65/36 1022.931 cents 34: 2 49/27 1031.787 cents 34: 4 20/11 1034.996 cents large minor seventh 34: 2 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 34: 2 24/13 1061.427 cents tridecimal neutral seventh 35: 2 117/70 889.298 cents 35: 2 240/143 896.423 cents 35: 1 121/72 898.726 cents 35: 2 16/9 996.090 cents Pythagorean minor seventh 35: 2 256/143 1008.154 cents 35: 4 9/5 1017.596 cents just minor seventh, BP seventh 35: 2 65/36 1022.931 cents 35: 4 20/11 1034.996 cents large minor seventh 35: 2 117/64 1044.438 cents 35: 2 64/35 1044.860 cents septimal neutral seventh 35: 8 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 35: 2 182/99 1054.126 cents 35: 4 24/13 1061.427 cents tridecimal neutral seventh 35: 2 13/7 1071.702 cents 16/3-tone 35: 2 49/26 1097.124 cents 36: 2 130/77 906.698 cents 36: 2 22/13 910.790 cents tridecimal major sixth 36: 2 9/5 1017.596 cents just minor seventh, BP seventh 36: 2 20/11 1034.996 cents large minor seventh 36: 2 91/50 1036.726 cents 36: 2 90/49 1052.572 cents 36: 2 182/99 1054.126 cents 36: 2 81/44 1056.502 cents 2nd undecimal neutral seventh 36: 4 24/13 1061.427 cents tridecimal neutral seventh 36: 2 50/27 1066.762 cents grave major seventh 36: 4 13/7 1071.702 cents 16/3-tone 36: 2 121/65 1075.795 cents 36: 4 28/15 1080.557 cents grave major seventh 36: 2 144/77 1083.766 cents 36: 2 220/117 1093.194 cents 36: 1 121/64 1102.636 cents two (undecimal semi-augmented fourth) 36: 2 91/48 1107.399 cents 36: 2 224/117 1124.388 cents 37: 2 143/84 921.065 cents 37: 1 288/169 922.855 cents 37: 2 20/11 1034.996 cents large minor seventh 37: 2 224/121 1066.190 cents 37: 4 13/7 1071.702 cents 16/3-tone 37: 2 28/15 1080.557 cents grave major seventh 37: 2 144/77 1083.766 cents 37: 4 15/8 1088.269 cents classic major seventh 37: 2 220/117 1093.194 cents 37: 4 66/35 1098.133 cents 37: 2 104/55 1102.896 cents 37: 2 320/169 1105.258 cents 37: 2 91/48 1107.399 cents 37: 2 154/81 1112.324 cents 37: 2 99/52 1114.700 cents 37: 2 21/11 1119.463 cents undecimal major seventh 37: 2 52/27 1134.663 cents 37: 2 126/65 1145.895 cents 38: 2 12/7 933.129 cents septimal major sixth 38: 2 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 38: 2 144/77 1083.766 cents 38: 2 169/90 1090.832 cents 38: 2 99/52 1114.700 cents 38: 6 40/21 1115.533 cents acute major seventh 38: 4 21/11 1119.463 cents undecimal major seventh 38: 2 224/117 1124.388 cents 38: 1 324/169 1126.765 cents two (tridecimal augmented fourth) 38: 2 48/25 1129.328 cents classic diminished octave 38: 2 169/88 1129.737 cents 38: 2 121/63 1129.900 cents 38: 2 25/13 1132.100 cents 38: 4 77/40 1133.830 cents 38: 2 64/33 1146.727 cents 33rd subharmonic 38: 2 39/20 1156.169 cents 38: 2 280/143 1163.294 cents 39: 1 169/98 943.404 cents 39: 2 24/13 1061.427 cents tridecimal neutral seventh 39: 2 104/55 1102.896 cents 39: 2 52/27 1134.663 cents 39: 4 27/14 1137.039 cents septimal major seventh 39: 2 234/121 1141.802 cents 39: 4 176/91 1141.964 cents 39: 2 126/65 1145.895 cents 39: 6 35/18 1151.230 cents septimal semi-diminished octave 39: 2 39/20 1156.169 cents 39: 4 88/45 1161.094 cents 39: 2 280/143 1163.294 cents 39: 2 108/55 1168.233 cents 39: 2 55/28 1168.806 cents 39: 2 65/33 1173.568 cents 39: 2 77/39 1177.661 cents 40: 2 13/7 1071.702 cents 16/3-tone 40: 2 64/33 1146.727 cents 33rd subharmonic 40: 2 39/20 1156.169 cents 40: 2 96/49 1164.303 cents 40: 1 49/25 1165.024 cents BP eighth 40: 2 108/55 1168.233 cents 40: 2 55/28 1168.806 cents 40: 2 63/32 1172.736 cents octave - septimal comma 40: 2 128/65 1173.159 cents 40: 2 65/33 1173.568 cents 40: 2 77/39 1177.661 cents 40: 2 160/81 1178.494 cents octave - syntonic comma 40: 4 180/91 1180.870 cents 40: 2 196/99 1182.424 cents 40: 2 99/50 1182.601 cents 40: 2 240/121 1185.633 cents 40: 6 143/72 1187.936 cents 40: 2 336/169 1189.726 cents Highest number of different intervals for one interval class: 20 Average number of different intervals per interval class: 17.95000 = 359/20
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 : 53.3 65.3 84.5 119.4 138.6 150.6 203.9 247.7 266.9 284.4 315.6 342.5 354.5 386.3 412.7 435.1 470.8 498.0 519.6 537.0 551.3 563.4 573.7 702.0 830.3 840.5 852.6 867.0 884.4 905.9 933.1 968.8 991.2 1017.6 1049.4 1061.4 1088.3 1119.5 1137.0 1156.2 1200.0 53.3 : 12.1 31.2 66.2 85.3 97.4 150.6 194.5 213.6 231.2 262.4 289.2 301.3 333.0 359.5 381.8 417.5 444.8 466.3 483.7 498.0 510.1 520.4 648.7 777.0 787.3 799.3 813.7 831.1 852.6 879.9 915.6 937.9 964.3 996.1 1008.2 1035.0 1066.2 1083.8 1102.9 1146.7 1200.0 65.3 : 19.1 54.1 73.2 85.3 138.6 182.4 201.5 219.1 250.3 277.1 289.2 321.0 347.4 369.7 405.4 432.7 454.2 471.6 486.0 498.0 508.3 636.6 764.9 775.2 787.3 801.6 819.0 840.5 867.8 903.5 925.8 952.3 984.0 996.1 1022.9 1054.1 1071.7 1090.8 1134.7 1187.9 1200.0 84.5 : 35.0 54.1 66.2 119.4 163.3 182.4 200.0 231.2 258.0 270.1 301.8 328.3 350.6 386.3 413.6 435.1 452.5 466.9 478.9 489.2 617.5 745.8 756.1 768.1 782.5 799.9 821.4 848.7 884.4 906.7 933.1 964.9 977.0 1003.8 1035.0 1052.6 1071.7 1115.5 1168.8 1180.9 1200.0 119.4 : 19.1 31.2 84.5 128.3 147.4 165.0 196.2 223.0 235.1 266.9 293.3 315.6 351.3 378.6 400.1 417.5 431.9 443.9 454.2 582.5 710.8 721.1 733.1 747.5 764.9 786.4 813.7 849.4 871.7 898.2 929.9 942.0 968.8 1000.0 1017.6 1036.7 1080.6 1133.8 1145.9 1165.0 1200.0 138.6 : 12.1 65.3 109.2 128.3 145.9 177.1 203.9 216.0 247.7 274.2 296.5 332.2 359.5 381.0 398.4 412.7 424.8 435.1 563.4 691.7 702.0 714.0 728.4 745.8 767.3 794.6 830.3 852.6 879.0 910.8 922.9 949.7 980.9 998.5 1017.6 1061.4 1114.7 1126.8 1145.9 1180.9 1200.0 150.6 : 53.3 97.1 116.2 133.8 165.0 191.8 203.9 235.7 262.1 284.4 320.1 347.4 368.9 386.3 400.7 412.7 423.0 551.3 679.6 689.9 702.0 716.3 733.7 755.2 782.5 818.2 840.5 867.0 898.7 910.8 937.6 968.8 986.4 1005.5 1049.4 1102.6 1114.7 1133.8 1168.8 1187.9 1200.0 203.9 : 43.8 63.0 80.5 111.7 138.6 150.6 182.4 208.8 231.2 266.9 294.1 315.6 333.0 347.4 359.5 369.7 498.0 626.3 636.6 648.7 663.0 680.4 702.0 729.2 764.9 787.3 813.7 845.5 857.5 884.4 915.6 933.1 952.3 996.1 1049.4 1061.4 1080.6 1115.5 1134.7 1146.7 1200.0 247.7 : 19.1 36.7 67.9 94.7 106.8 138.6 165.0 187.3 223.0 250.3 271.8 289.2 303.6 315.6 325.9 454.2 582.5 592.8 604.9 619.2 636.6 658.1 685.4 721.1 743.4 769.9 801.6 813.7 840.5 871.7 889.3 908.4 952.3 1005.5 1017.6 1036.7 1071.7 1090.8 1102.9 1156.2 1200.0 266.9 : 17.6 48.8 75.6 87.7 119.4 145.9 168.2 203.9 231.2 252.7 270.1 284.4 296.5 306.8 435.1 563.4 573.7 585.7 600.1 617.5 639.0 666.3 702.0 724.3 750.7 782.5 794.6 821.4 852.6 870.2 889.3 933.1 986.4 998.5 1017.6 1052.6 1071.7 1083.8 1137.0 1180.9 1200.0 284.4 : 31.2 58.0 70.1 101.9 128.3 150.6 186.3 213.6 235.1 252.5 266.9 278.9 289.2 417.5 545.8 556.1 568.1 582.5 599.9 621.4 648.7 684.4 706.7 733.1 764.9 777.0 803.8 835.0 852.6 871.7 915.6 968.8 980.9 1000.0 1035.0 1054.1 1066.2 1119.5 1163.3 1182.4 1200.0 315.6 : 26.8 38.9 70.7 97.1 119.4 155.1 182.4 203.9 221.3 235.7 247.7 258.0 386.3 514.6 524.9 537.0 551.3 568.7 590.2 617.5 653.2 675.5 702.0 733.7 745.8 772.6 803.8 821.4 840.5 884.4 937.6 949.7 968.8 1003.8 1022.9 1035.0 1088.3 1132.1 1151.2 1168.8 1200.0 342.5 : 12.1 43.8 70.3 92.6 128.3 155.6 177.1 194.5 208.8 220.9 231.2 359.5 487.8 498.0 510.1 524.5 541.9 563.4 590.6 626.3 648.7 675.1 706.9 718.9 745.8 777.0 794.6 813.7 857.5 910.8 922.9 942.0 977.0 996.1 1008.2 1061.4 1105.3 1124.4 1142.0 1173.2 1200.0 354.5 : 31.8 58.2 80.5 116.2 143.5 165.0 182.4 196.8 208.8 219.1 347.4 475.7 486.0 498.0 512.4 529.8 551.3 578.6 614.3 636.6 663.0 694.8 706.9 733.7 764.9 782.5 801.6 845.5 898.7 910.8 929.9 964.9 984.0 996.1 1049.4 1093.2 1112.3 1129.9 1161.1 1187.9 1200.0 386.3 : 26.4 48.8 84.5 111.7 133.2 150.6 165.0 177.1 187.3 315.6 443.9 454.2 466.3 480.6 498.0 519.6 546.8 582.5 604.9 631.3 663.0 675.1 702.0 733.1 750.7 769.9 813.7 867.0 879.0 898.2 933.1 952.3 964.3 1017.6 1061.4 1080.6 1098.1 1129.3 1156.2 1168.2 1200.0 412.7 : 22.3 58.0 85.3 106.8 124.2 138.6 150.6 160.9 289.2 417.5 427.8 439.8 454.2 471.6 493.1 520.4 556.1 578.4 604.9 636.6 648.7 675.5 706.7 724.3 743.4 787.3 840.5 852.6 871.7 906.7 925.8 937.9 991.2 1035.0 1054.1 1071.7 1102.9 1129.7 1141.8 1173.6 1200.0 435.1 : 35.7 63.0 84.5 101.9 116.2 128.3 138.6 266.9 395.2 405.4 417.5 431.9 449.3 470.8 498.0 533.7 556.1 582.5 614.3 626.3 653.2 684.4 702.0 721.1 764.9 818.2 830.3 849.4 884.4 903.5 915.6 968.8 1012.7 1031.8 1049.4 1080.6 1107.4 1119.5 1151.2 1177.7 1200.0 470.8 : 27.3 48.8 66.2 80.5 92.6 102.9 231.2 359.5 369.7 381.8 396.2 413.6 435.1 462.3 498.0 520.4 546.8 578.6 590.6 617.5 648.7 666.3 685.4 729.2 782.5 794.6 813.7 848.7 867.8 879.9 933.1 977.0 996.1 1013.7 1044.9 1071.7 1083.8 1115.5 1142.0 1164.3 1200.0 498.0 : 21.5 38.9 53.3 65.3 75.6 203.9 332.2 342.5 354.5 368.9 386.3 407.8 435.1 470.8 493.1 519.6 551.3 563.4 590.2 621.4 639.0 658.1 702.0 755.2 767.3 786.4 821.4 840.5 852.6 905.9 949.7 968.8 986.4 1017.6 1044.4 1056.5 1088.3 1114.7 1137.0 1172.7 1200.0 519.6 : 17.4 31.8 43.8 54.1 182.4 310.7 321.0 333.0 347.4 364.8 386.3 413.6 449.3 471.6 498.0 529.8 541.9 568.7 599.9 617.5 636.6 680.4 733.7 745.8 764.9 799.9 819.0 831.1 884.4 928.2 947.3 964.9 996.1 1022.9 1035.0 1066.8 1093.2 1115.5 1151.2 1178.5 1200.0 537.0 : 14.4 26.4 36.7 165.0 293.3 303.6 315.6 330.0 347.4 368.9 396.2 431.9 454.2 480.6 512.4 524.5 551.3 582.5 600.1 619.2 663.0 716.3 728.4 747.5 782.5 801.6 813.7 867.0 910.8 929.9 947.5 978.7 1005.5 1017.6 1049.4 1075.8 1098.1 1133.8 1161.1 1182.6 1200.0 551.3 : 12.1 22.3 150.6 278.9 289.2 301.3 315.6 333.0 354.5 381.8 417.5 439.8 466.3 498.0 510.1 537.0 568.1 585.7 604.9 648.7 702.0 714.0 733.1 768.1 787.3 799.3 852.6 896.4 915.6 933.1 964.3 991.2 1003.2 1035.0 1061.4 1083.8 1119.5 1146.7 1168.2 1185.6 1200.0 563.4 : 10.3 138.6 266.9 277.1 289.2 303.6 321.0 342.5 369.7 405.4 427.8 454.2 486.0 498.0 524.9 556.1 573.7 592.8 636.6 689.9 702.0 721.1 756.1 775.2 787.3 840.5 884.4 903.5 921.1 952.3 979.1 991.2 1022.9 1049.4 1071.7 1107.4 1134.7 1156.2 1173.6 1187.9 1200.0 573.7 : 128.3 256.6 266.9 278.9 293.3 310.7 332.2 359.5 395.2 417.5 443.9 475.7 487.8 514.6 545.8 563.4 582.5 626.3 679.6 691.7 710.8 745.8 764.9 777.0 830.3 874.1 893.2 910.8 942.0 968.8 980.9 1012.7 1039.1 1061.4 1097.1 1124.4 1145.9 1163.3 1177.7 1189.7 1200.0 702.0 : 128.3 138.6 150.6 165.0 182.4 203.9 231.2 266.9 289.2 315.6 347.4 359.5 386.3 417.5 435.1 454.2 498.0 551.3 563.4 582.5 617.5 636.6 648.7 702.0 745.8 764.9 782.5 813.7 840.5 852.6 884.4 910.8 933.1 968.8 996.1 1017.6 1035.0 1049.4 1061.4 1071.7 1200.0 830.3 : 10.3 22.3 36.7 54.1 75.6 102.9 138.6 160.9 187.3 219.1 231.2 258.0 289.2 306.8 325.9 369.7 423.0 435.1 454.2 489.2 508.3 520.4 573.7 617.5 636.6 654.2 685.4 712.2 724.3 756.1 782.5 804.8 840.5 867.8 889.3 906.7 921.1 933.1 943.4 1071.7 1200.0 840.5 : 12.1 26.4 43.8 65.3 92.6 128.3 150.6 177.1 208.8 220.9 247.7 278.9 296.5 315.6 359.5 412.7 424.8 443.9 478.9 498.0 510.1 563.4 607.2 626.3 643.9 675.1 702.0 714.0 745.8 772.2 794.6 830.3 857.5 879.0 896.4 910.8 922.9 933.1 1061.4 1189.7 1200.0 852.6 : 14.4 31.8 53.3 80.5 116.2 138.6 165.0 196.8 208.8 235.7 266.9 284.4 303.6 347.4 400.7 412.7 431.9 466.9 486.0 498.0 551.3 595.1 614.3 631.9 663.0 689.9 702.0 733.7 760.2 782.5 818.2 845.5 867.0 884.4 898.7 910.8 921.1 1049.4 1177.7 1187.9 1200.0 867.0 : 17.4 38.9 66.2 101.9 124.2 150.6 182.4 194.5 221.3 252.5 270.1 289.2 333.0 386.3 398.4 417.5 452.5 471.6 483.7 537.0 580.8 599.9 617.5 648.7 675.5 687.6 719.4 745.8 768.1 803.8 831.1 852.6 870.0 884.4 896.4 906.7 1035.0 1163.3 1173.6 1185.6 1200.0 884.4 : 21.5 48.8 84.5 106.8 133.2 165.0 177.1 203.9 235.1 252.7 271.8 315.6 368.9 381.0 400.1 435.1 454.2 466.3 519.6 563.4 582.5 600.1 631.3 658.1 670.2 702.0 728.4 750.7 786.4 813.7 835.2 852.6 867.0 879.0 889.3 1017.6 1145.9 1156.2 1168.2 1182.6 1200.0 905.9 : 27.3 63.0 85.3 111.7 143.5 155.6 182.4 213.6 231.2 250.3 294.1 347.4 359.5 378.6 413.6 432.7 444.8 498.0 541.9 561.0 578.6 609.8 636.6 648.7 680.4 706.9 729.2 764.9 792.2 813.7 831.1 845.5 857.5 867.8 996.1 1124.4 1134.7 1146.7 1161.1 1178.5 1200.0 933.1 : 35.7 58.0 84.5 116.2 128.3 155.1 186.3 203.9 223.0 266.9 320.1 332.2 351.3 386.3 405.4 417.5 470.8 514.6 533.7 551.3 582.5 609.4 621.4 653.2 679.6 702.0 737.7 764.9 786.4 803.8 818.2 830.3 840.5 968.8 1097.1 1107.4 1119.5 1133.8 1151.2 1172.7 1200.0 968.8 : 22.3 48.8 80.5 92.6 119.4 150.6 168.2 187.3 231.2 284.4 296.5 315.6 350.6 369.7 381.8 435.1 478.9 498.0 515.6 546.8 573.7 585.7 617.5 643.9 666.3 702.0 729.2 750.7 768.1 782.5 794.6 804.8 933.1 1061.4 1071.7 1083.8 1098.1 1115.5 1137.0 1164.3 1200.0 991.2 : 26.4 58.2 70.3 97.1 128.3 145.9 165.0 208.8 262.1 274.2 293.3 328.3 347.4 359.5 412.7 456.6 475.7 493.3 524.5 551.3 563.4 595.1 621.6 643.9 679.6 706.9 728.4 745.8 760.2 772.2 782.5 910.8 1039.1 1049.4 1061.4 1075.8 1093.2 1114.7 1142.0 1177.7 1200.0 1017.6: 31.8 43.8 70.7 101.9 119.4 138.6 182.4 235.7 247.7 266.9 301.8 321.0 333.0 386.3 430.1 449.3 466.9 498.0 524.9 537.0 568.7 595.1 617.5 653.2 680.4 702.0 719.4 733.7 745.8 756.1 884.4 1012.7 1022.9 1035.0 1049.4 1066.8 1088.3 1115.5 1151.2 1173.6 1200.0 1049.4: 12.1 38.9 70.1 87.7 106.8 150.6 203.9 216.0 235.1 270.1 289.2 301.3 354.5 398.4 417.5 435.1 466.3 493.1 505.2 537.0 563.4 585.7 621.4 648.7 670.2 687.6 702.0 714.0 724.3 852.6 980.9 991.2 1003.2 1017.6 1035.0 1056.5 1083.8 1119.5 1141.8 1168.2 1200.0 1061.4: 26.8 58.0 75.6 94.7 138.6 191.8 203.9 223.0 258.0 277.1 289.2 342.5 386.3 405.4 423.0 454.2 481.1 493.1 524.9 551.3 573.7 609.4 636.6 658.1 675.5 689.9 702.0 712.2 840.5 968.8 979.1 991.2 1005.5 1022.9 1044.4 1071.7 1107.4 1129.7 1156.2 1187.9 1200.0 1088.3: 31.2 48.8 67.9 111.7 165.0 177.1 196.2 231.2 250.3 262.4 315.6 359.5 378.6 396.2 427.4 454.2 466.3 498.0 524.5 546.8 582.5 609.8 631.3 648.7 663.0 675.1 685.4 813.7 942.0 952.3 964.3 978.7 996.1 1017.6 1044.9 1080.6 1102.9 1129.3 1161.1 1173.2 1200.0 1119.5: 17.6 36.7 80.5 133.8 145.9 165.0 200.0 219.1 231.2 284.4 328.3 347.4 365.0 396.2 423.0 435.1 466.9 493.3 515.6 551.3 578.6 600.1 617.5 631.9 643.9 654.2 782.5 910.8 921.1 933.1 947.5 964.9 986.4 1013.7 1049.4 1071.7 1098.1 1129.9 1142.0 1168.8 1200.0 1137.0: 19.1 63.0 116.2 128.3 147.4 182.4 201.5 213.6 266.9 310.7 329.8 347.4 378.6 405.4 417.5 449.3 475.7 498.0 533.7 561.0 582.5 599.9 614.3 626.3 636.6 764.9 893.2 903.5 915.6 929.9 947.3 968.8 996.1 1031.8 1054.1 1080.6 1112.3 1124.4 1151.2 1182.4 1200.0 1156.2: 43.8 97.1 109.2 128.3 163.3 182.4 194.5 247.7 291.6 310.7 328.3 359.5 386.3 398.4 430.1 456.6 478.9 514.6 541.9 563.4 580.8 595.1 607.2 617.5 745.8 874.1 884.4 896.4 910.8 928.2 949.7 977.0 1012.7 1035.0 1061.4 1093.2 1105.3 1132.1 1163.3 1180.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 10.2744 .. 128.2982 cents 2352/2197, 118.0238 cents 169/168, 10.2744 cents 2: 22.3388 .. 256.5965 cents 7546/6591, 234.2577 cents 507/539,-105.9594 cents 3: 36.7060 .. 266.8709 cents 490/429, 230.1649 cents 24167/27440,-219.8905 cents 4: 54.1055 .. 278.9353 cents 10584/9295, 224.8298 cents 130/147,-212.7654 cents 5: 75.6118 .. 293.3025 cents 8624/7605, 217.6907 cents 5577/6272,-203.3235 cents 6: 102.8758 .. 310.7020 cents 1715/1521, 207.8261 cents 3380/3773,-190.4266 cents 7: 138.5727 .. 332.2082 cents 189/169, 193.6356 cents 507/560,-172.1293 cents 8: 160.9115 .. 359.4723 cents 2464/2197, 198.5609 cents 4394/4851,-171.2968 cents 9: 187.3430 .. 395.1692 cents 1715/1521, 207.8261 cents 507/560,-172.1293 cents 10: 219.1097 .. 417.5080 cents 1764/1573, 198.3983 cents 1859/2058,-176.0595 cents 11: 231.1741 .. 443.9395 cents 147/130, 212.7654 cents 44/49,-186.3339 cents 12: 258.0155 .. 475.7062 cents 8624/7605, 217.6907 cents 4225/4704,-185.9241 cents 13: 289.2097 .. 487.7706 cents 2464/2197, 198.5609 cents 1521/1694,-186.4965 cents 14: 306.7859 .. 514.6120 cents 1715/1521, 207.8261 cents 19773/21952,-180.9847 cents 15: 325.9157 .. 545.8062 cents 27440/24167, 219.8905 cents 2197/2450,-188.6963 cents 16: 369.7468 .. 563.3823 cents 189/169, 193.6356 cents 1859/2058,-176.0595 cents 17: 423.0197 .. 582.5122 cents 784/715, 159.4925 cents 1859/2016,-140.3626 cents 18: 435.0841 .. 626.3432 cents 392/351, 191.2591 cents 45/49,-147.4281 cents 19: 454.2139 .. 679.6162 cents 385/338, 225.4022 cents 507/560,-172.1293 cents 20: 489.1896 .. 691.6806 cents 12348/10985, 202.4910 cents 3380/3773,-190.4266 cents 21: 508.3194 .. 710.8104 cents 12348/10985, 202.4910 cents 28561/31752,-183.3612 cents 22: 520.3838 .. 745.7861 cents 385/338, 225.4022 cents 3380/3773,-190.4266 cents 23: 573.6568 .. 764.9159 cents 392/351, 191.2591 cents 507/560,-172.1293 cents 24: 617.4878 .. 776.9803 cents 784/715, 159.4925 cents 45/49,-147.4281 cents 25: 636.6177 .. 830.2532 cents 189/169, 193.6356 cents 1859/2016,-140.3626 cents 26: 654.1938 .. 874.0843 cents 27440/24167, 219.8905 cents 1859/2058,-176.0595 cents 27: 685.3880 .. 893.2141 cents 1715/1521, 207.8261 cents 2197/2450,-188.6963 cents 28: 712.2294 .. 910.7903 cents 2464/2197, 198.5609 cents 19773/21952,-180.9847 cents 29: 724.2938 .. 941.9845 cents 8624/7605, 217.6907 cents 1521/1694,-186.4965 cents 30: 756.0605 .. 968.8259 cents 147/130, 212.7654 cents 4225/4704,-185.9241 cents 31: 782.4920 .. 980.8903 cents 1764/1573, 198.3983 cents 44/49,-186.3339 cents 32: 804.8308 .. 1012.6570 cents 1715/1521, 207.8261 cents 1859/2058,-176.0595 cents 33: 840.5277 .. 1039.0885 cents 2464/2197, 198.5609 cents 507/560,-172.1293 cents 34: 867.7918 .. 1061.4273 cents 189/169, 193.6356 cents 4394/4851,-171.2968 cents 35: 889.2980 .. 1097.1242 cents 1715/1521, 207.8261 cents 507/560,-172.1293 cents 36: 906.6975 .. 1124.3882 cents 8624/7605, 217.6907 cents 3380/3773,-190.4266 cents 37: 921.0647 .. 1145.8945 cents 10584/9295, 224.8298 cents 5577/6272,-203.3235 cents 38: 933.1291 .. 1163.2940 cents 490/429, 230.1649 cents 130/147,-212.7654 cents 39: 943.4035 .. 1177.6612 cents 7546/6591, 234.2577 cents 24167/27440,-219.8905 cents 40: 1071.7018 .. 1189.7256 cents 2352/2197, 118.0238 cents 507/539,-105.9594 cents
SHOW DATA
Number of notes : 41 -- Interval properties -- Smallest interval : 169/168, 10.2744 cents, class 1 Average step (divided formal octave): 29.2683 cents Largest one step interval : 14/13, 128.2982 cents Average / Smallest step : 2.848657 Largest / Average step : 4.383523 Largest / Smallest step : 12.487157 Median interval of one step : 78/77, 22.3388 cents, amount: 2 Most common interval of one step : 144/143, 12.0644 cents, amount: 6 Least squares average step : 29.42825 cents, oct.: 1206.55812 cents Scale is not proper Step pattern alph. order: ABCDCBAECFGHBIJKLMNOPBQRRQBPONMLKJIBHGFCE Step pattern size order : QBFNFBQPFELJBMIHOKGDCBARRABCDGKOHIMBJLEFP Scale is not a Constant Structure Scale diversity : 1.513841 Lumma stability : 0.017124 Lumma impropriety factor : 0.962769 Number of different interval sizes : 410 = 10.25000 / class Number of one step interval sizes : 18 Highest interval variety : 20 Mean interval variety : 17.95000 = 359/20 Median interval variety : 15.5 Lowest interval variety : 15 Smallest interval difference : 10648/10647, 0.1626 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 20 Most common triad is 0.0 498.045 701.955 cents, amount: 11 Number of recognisable fifths : 48, average 703.8631 cents Number of appreciable fifths : 41, average 702.9257 cents Scale contains a complete diamond : 3 5 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 : 11 = 26.8293% Scale is differentially coherent in interval class 1 Limited inverse transpositions : 7 Inversional symmetry on degrees : 24 Inversional symmetry on intervals : 3-4 -- Rational properties -- Prime limit : 13 Odd number limit : 169 (O: 169 U: 169) Highest odd numerator or denominator: 39 Scale harmonicity : 0.007535 Average absolute harmonicity : 0.085410 Specific harmonicity : 0.060426 Fundamental : 1/480480, -18.8741 octaves, 0.0005 Hz. Guide tone : 1081080, 20.0440 octaves, 282838166.136 Hz. Exponens Consonantiae : 5.194373E+11, 38.91816 octaves Euler's gradus suavitatis : 81 Sum of Mann's harmonic distance : 657.0, average 16.02439 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 46.65889, average 1.13802 Sum of Tenney's harmonic distance : 89.79813, average 2.19020 Vogel's harmonic complexity : 45.92683 Wille's k value : 292792 Wilson's harmonic complexity : 84 Rectangular lattice diameter : 12 Triangular lattice diameter : 4 Lattice compactness : 2756.70771, average 3.20175 Lattice compactness (without 2's) : 1787.90678, average 2.07655 Number of different primes : 6 Prime exponents' range, average, count, tones@limit: 2: -5 .. 3 -1.07317 70 1 3: -1 .. 3 1.00000 51 4 5: -1 .. 1 0.00000 12 6 7: -1 .. 1 0.00000 12 8 11: -1 .. 1 0.00000 12 10 13: -1 .. 1 0.00000 12 12 Average exponent except 2's : 41 / 41 = 1.00000 Average absolute exponent except 2's: 99 / 41 = 2.41463
FIT/MODE
41: 2 0 1 1 1 0 2 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 4 4 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 N S SD: 6.6865 c. M:-14.5628 c. 42: 2 0 1 1 1 0 2 2 0 1 1 1 0 2 0 1 1 1 1 1 0 1 0 5 4 0 1 0 1 1 1 1 1 1 1 0 1 1 1 0 2 N SD: 7.9214 c. M:-13.6863 c. 46: 2 1 0 2 0 1 2 2 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 5 5 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 2 N S SD: 6.6018 c. M:-13.1285 c. 53: 2 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2 1 1 1 0 1 0 6 6 0 1 0 1 1 1 2 1 1 1 1 1 1 1 1 2 N S SD: 5.1687 c. M: 10.0290 c. 58: 3 0 1 2 1 0 3 2 1 1 1 2 0 2 1 1 2 1 1 1 1 0 1 6 6 1 0 1 1 1 1 2 1 1 2 0 2 1 1 1 2 N S SD: 4.5979 c. M:-9.2415 c. 61: 3 0 1 2 1 1 2 3 1 0 2 1 1 2 1 1 2 1 1 1 1 1 0 7 6 1 0 1 1 1 1 2 1 2 1 1 1 2 1 1 2 N SD: 5.3814 c. M: 9.0372 c. 62: 3 0 1 2 1 1 3 2 1 1 1 2 0 2 1 1 2 2 1 1 0 1 1 6 7 0 1 1 1 1 1 2 1 2 1 1 1 2 1 1 2 N SD: 5.3229 c. M: 9.3825 c. 63: 3 0 1 2 1 1 3 2 1 1 2 1 1 1 2 1 2 1 1 1 1 1 0 7 7 0 1 1 0 2 1 2 1 1 2 1 1 2 1 1 2 N SD: 5.1848 c. M:-9.2312 c. 69: 3 1 1 2 1 1 3 2 1 1 2 2 0 2 2 1 2 2 1 1 1 0 1 7 8 0 1 1 1 1 2 2 1 2 1 1 2 1 1 1 3 N SD: 4.7082 c. M:-8.4907 c. 71: 3 1 1 2 1 1 3 3 1 1 2 1 1 2 1 2 2 1 2 1 1 0 1 8 7 1 0 1 1 2 1 2 2 1 2 1 1 2 1 1 3 N SD: 4.5853 c. M:-7.9042 c. 72: 3 1 1 2 1 1 3 3 1 1 2 1 1 2 2 1 2 2 1 1 1 1 0 8 8 0 1 1 1 1 2 2 1 2 2 1 1 2 1 1 3 N S SD: 3.8042 c. M: 9.1493 c. 77: 3 1 1 3 1 1 3 3 1 1 2 2 1 2 1 2 2 2 1 1 1 1 1 8 8 1 1 1 1 1 2 2 2 1 2 1 2 2 1 1 3 N S SD: 3.9191 c. M: 7.5505 c. 79: 4 0 2 2 1 1 3 3 2 1 2 2 0 2 2 2 2 2 1 1 1 1 1 8 9 0 1 1 1 2 1 3 1 2 2 1 2 2 1 1 3 N SD: 4.2597 c. M:-7.4866 c. 80: 4 0 2 2 1 1 4 3 1 1 2 2 1 2 2 1 2 2 2 1 1 1 0 9 8 1 1 1 1 1 2 3 1 2 2 1 2 2 1 1 3 N SD: 4.1735 c. M:-7.2589 c. 81: 4 0 2 2 1 1 4 3 1 1 2 2 1 2 2 1 3 2 1 1 1 1 1 8 9 1 1 1 1 1 2 2 2 2 2 1 1 3 1 1 3 N SD: 4.0435 c. M:-7.1148 c. 84: 4 1 1 2 2 1 3 3 2 1 2 2 1 2 2 1 3 2 1 2 1 0 1 9 9 1 1 1 1 1 2 3 1 2 2 1 2 2 2 1 3 N SD: 4.0934 c. M: 6.5127 c. 87: 4 1 1 3 1 1 4 3 1 2 2 2 1 2 2 2 2 2 2 1 1 1 1 9 9 1 1 1 1 2 2 2 2 2 2 1 2 2 2 1 3 N S SD: 3.1163 c. M:-7.7885 c. 88: 4 1 1 3 1 1 4 3 2 1 2 2 1 2 2 2 3 2 1 1 1 1 1 9 10 1 1 1 1 1 2 3 2 2 2 1 2 2 1 2 3 N SD: 3.8140 c. M:-6.5005 c. 89: 4 1 1 3 1 1 4 3 2 1 2 2 1 3 2 1 3 2 2 1 1 1 1 9 10 0 1 1 2 1 2 3 2 1 3 1 2 2 1 2 3 N SD: 3.7939 c. M:-6.5881 c. 90: 4 1 1 3 1 1 4 4 1 1 3 2 1 2 2 2 2 2 2 1 1 1 1 10 9 1 1 1 1 2 2 3 1 2 3 1 2 2 1 2 3 N SD: 3.5615 c. M:-5.5923 c. 94: 4 1 2 2 2 1 4 3 2 1 3 2 1 2 2 2 3 2 2 1 1 1 1 10 10 1 1 1 1 2 2 3 2 2 2 1 2 3 1 2 3 N S SD: 2.7778 c. M:-5.5332 c. 106: 5 1 1 4 1 1 5 4 2 1 3 2 1 3 2 2 4 2 2 1 2 1 1 11 11 1 1 2 1 2 2 4 2 2 3 1 2 3 1 2 4 N S SD: 3.3330 c. M: 5.2219 c. 109: 5 1 2 3 2 1 4 4 2 2 3 2 1 3 2 2 4 2 2 2 1 1 1 12 11 1 1 2 1 2 3 3 2 2 3 1 3 3 1 2 4 N SD: 3.2116 c. M: 5.7449 c. 110: 5 1 2 3 2 1 5 4 2 1 3 2 2 3 2 2 3 3 2 1 2 1 1 11 12 1 1 2 1 2 3 3 2 2 3 1 3 3 1 2 4 N SD: 3.1863 c. M:-6.4136 c. 111: 5 1 2 3 2 1 5 4 2 1 3 3 1 3 2 2 4 2 2 2 1 1 1 12 12 1 1 1 2 2 2 4 2 2 3 1 3 3 1 2 4 N S SD: 2.3789 c. M:-4.8948 c. 118: 5 1 2 4 2 1 5 4 2 2 3 3 1 3 3 2 3 3 2 2 1 1 1 13 13 1 1 1 2 2 3 3 2 3 3 1 3 3 2 2 4 N S SD: 2.5726 c. M: 4.7240 c. 125: 6 1 2 3 2 2 5 5 2 2 3 3 1 3 3 2 4 3 2 2 1 2 1 13 13 2 1 1 2 2 3 4 2 3 3 2 2 4 1 2 5 N SD: 2.7957 c. M: 4.6532 c. 126: 6 1 2 4 2 1 5 5 2 2 3 3 1 4 2 3 3 3 3 1 2 1 1 14 13 1 2 1 2 2 3 4 2 3 3 1 3 4 1 2 5 N SD: 2.7418 c. M:-4.5508 c. 127: 6 1 2 4 2 1 6 4 2 2 3 3 2 3 3 2 4 3 2 2 1 2 1 13 14 1 1 2 2 2 3 4 2 3 3 1 3 4 1 2 5 N SD: 2.6323 c. M:-4.9465 c. 128: 6 1 2 4 2 1 6 4 2 2 4 3 1 3 3 2 4 3 2 2 2 1 1 14 14 1 1 1 2 3 3 3 3 3 3 1 3 3 2 2 5 N SD: 2.7801 c. M: 4.4592 c. 130: 6 1 2 4 2 1 6 5 2 2 3 3 1 4 3 2 4 3 2 2 2 1 1 14 14 1 1 2 2 2 3 4 2 3 4 1 3 3 2 2 5 N S SD: 1.7693 c. M: 3.7778 c. 152: 7 1 3 4 3 1 7 5 3 2 4 3 2 4 3 3 5 3 3 2 2 1 2 16 16 1 2 2 2 3 3 5 3 3 4 1 4 4 2 2 6 N SD: 1.9600 c. M: 3.6856 c. 159: 7 2 2 5 2 2 7 6 2 3 4 3 2 4 4 3 4 4 3 2 2 2 1 17 17 1 2 2 2 3 4 4 3 4 4 2 3 4 3 2 6 N S SD: 1.8055 c. M: 2.8600 c. 166: 7 2 3 4 3 2 7 6 3 2 5 3 2 4 4 3 5 4 3 2 2 2 1 18 18 1 2 2 2 3 4 5 3 4 4 2 3 5 2 3 6 N S SD: 1.7798 c. M: 3.9314 c. 176: 8 2 2 6 2 2 8 6 3 3 4 4 2 5 4 3 5 4 3 3 2 2 1 19 19 1 2 2 3 3 4 5 3 4 5 2 4 4 3 3 6 N S SD: 1.7633 c. M:-3.2845 c. 183: 8 2 3 5 3 2 8 7 3 2 5 4 2 5 4 3 6 4 3 3 2 2 1 20 20 1 2 2 3 3 4 6 3 4 5 2 4 5 2 3 7 N S SD: 1.3710 c. M: 3.1650 c. 190: 8 2 3 6 3 2 8 7 3 3 5 4 2 5 4 4 5 5 3 3 2 2 2 20 20 2 2 2 3 3 5 5 4 4 5 2 4 5 3 3 7 N S SD: 1.5193 c. M: 3.4125 c. 198: 9 2 3 6 3 2 9 7 3 3 5 5 2 5 4 4 6 4 4 3 2 2 2 21 21 2 2 2 3 4 4 6 4 4 5 2 5 5 3 3 7 N S SD: 1.5738 c. M:-3.2259 c. 199: 9 2 3 6 3 2 9 7 3 3 5 5 2 5 4 4 6 5 3 3 2 2 2 21 22 1 2 3 3 3 5 6 3 5 5 2 4 6 3 3 7 N SD: 1.6359 c. M: 2.8416 c. 201: 9 2 3 6 3 2 9 7 4 3 5 4 2 6 4 4 6 4 4 3 2 2 2 22 21 2 2 2 3 4 4 6 4 4 6 2 4 5 3 4 7 N SD: 1.6228 c. M: 3.0451 c. 207: 9 2 4 6 3 2 9 8 3 3 5 5 2 6 4 4 6 5 4 3 2 2 2 22 22 2 2 3 3 3 5 6 4 5 5 2 5 5 3 3 8 N SD: 1.4100 c. M:-2.6936 c. 208: 9 2 4 6 3 2 9 8 3 3 6 4 2 6 5 3 7 4 4 3 3 2 1 23 22 2 2 2 3 4 5 6 4 4 6 2 5 5 3 3 8 N SD: 1.6225 c. M:-2.6393 c. 212: 9 3 3 6 4 2 9 8 3 3 6 5 2 5 5 4 6 5 4 3 2 3 1 23 23 2 2 2 3 4 5 6 4 5 5 3 4 6 3 3 8 N SD: 1.6164 c. M:-2.9368 c. 213: 9 3 3 6 4 2 9 8 3 3 6 5 2 6 4 4 7 4 4 3 3 2 2 23 22 2 2 3 3 4 5 6 4 5 5 2 5 6 3 3 8 N SD: 1.5676 c. M: 2.7569 c. 217: 10 2 3 7 3 2 10 8 3 3 6 5 2 6 5 4 6 5 4 3 3 2 2 23 23 2 2 3 3 4 5 6 4 5 6 2 5 5 4 3 8 N SD: 1.2288 c. M: 2.4194 c. 224: 10 2 4 6 4 2 10 8 4 3 6 5 2 6 5 4 7 5 4 3 3 2 2 24 24 2 2 3 3 4 5 7 4 5 6 2 5 6 3 4 8 N S SD: 0.7597 c. M: 1.5857 c. 270: 12 3 4 8 4 3 12 10 4 4 7 6 3 7 6 5 8 6 5 4 3 3 2 29 29 2 3 3 4 5 6 8 5 6 7 3 6 7 4 4 10 N S SD: 0.5762 c. M:-1.3293 c. 383: 17 4 6 11 6 4 17 14 6 6 10 8 4 10 9 7 11 9 7 5 5 4 3 41 41 3 4 5 5 7 9 11 7 9 10 4 8 10 6 6 14 N S SD: 0.6204 c. M: 1.1805 c. 400: 18 4 6 12 6 4 18 15 6 6 10 9 4 11 9 7 12 9 7 6 5 4 3 43 43 3 4 5 6 7 9 12 7 9 11 4 9 10 6 6 15 N S SD: 0.6050 c. M:-1.2589 c. 441: 20 4 7 13 7 4 20 16 7 7 11 10 4 12 10 8 13 10 8 6 6 4 4 47 47 4 4 6 6 8 10 13 8 10 12 4 10 11 7 7 16 N S SD: 0.5661 c. M:-1.2672 c. 460: 20 5 7 14 7 5 20 17 7 7 12 10 5 12 10 9 13 11 8 7 5 5 4 49 49 4 5 5 7 8 11 13 9 10 12 5 10 12 7 7 17 N S SD: 0.5637 c. M: 1.2157 c. 465: 21 4 8 13 8 4 21 17 7 7 12 11 4 13 10 9 13 11 8 7 6 4 4 50 50 4 4 6 7 8 11 13 9 10 13 4 11 12 7 7 17 N S SD: 0.7443 c. M: 1.1035 c. 469: 21 5 7 14 7 5 21 17 7 7 12 11 5 12 10 9 14 11 8 7 6 4 4 50 51 4 4 6 7 8 11 14 8 11 12 5 10 13 6 8 17 N SD: 0.7366 c. M:-1.3473 c. 471: 21 5 7 14 7 5 21 17 8 7 12 10 5 13 10 9 14 10 9 7 5 5 4 51 50 4 5 5 7 9 10 14 9 10 13 5 10 12 7 8 17 N SD: 0.6871 c. M:-1.2297 c. 472: 21 5 7 14 7 5 21 17 8 7 12 11 4 13 10 9 14 11 8 7 6 5 4 50 51 4 4 6 7 8 11 14 9 10 13 4 11 12 7 8 17 N SD: 0.6769 c. M: 1.2845 c. 493: 22 5 8 14 8 5 22 18 8 7 13 11 5 13 11 9 14 12 8 8 6 4 5 52 53 4 5 6 7 9 11 15 9 11 13 5 11 13 7 8 18 N SD: 0.6595 c. M:-1.2176 c. 494: 22 5 8 14 8 5 22 18 8 7 13 11 5 13 11 9 15 11 9 7 6 5 4 53 53 4 5 6 7 9 11 15 9 11 13 5 11 13 7 8 18 N S SD: 0.2403 c. M:-0.5530 c. 954: 42 10 15 28 15 10 42 35 15 14 25 21 10 25 21 18 28 22 17 14 11 10 8 102 102 8 10 11 14 17 22 28 18 21 25 10 21 25 14 15 35 N S SD: 0.1992 c. M: 0.4428 c. 1012: 45 10 16 30 16 10 45 37 16 15 26 23 10 27 22 19 30 23 18 15 12 10 9 108 108 9 10 12 15 18 23 30 19 22 27 10 23 26 15 16 37 N S SD: 0.1528 c. M:-0.3200 c. 1178: 52 12 19 34 19 12 52 43 19 17 31 26 12 31 26 22 35 27 21 17 14 12 10 126 126 10 12 14 17 21 27 35 22 26 31 12 26 31 17 19 43 N S SD: 0.1485 c. M: 0.3230 c. 1236: 55 12 20 36 20 12 55 45 20 18 32 28 12 33 27 23 37 28 22 18 15 12 11 132 132 11 12 15 18 22 28 37 23 27 33 12 28 32 18 20 45 N S SD: 0.1429 c. M: 0.2888 c. 1395: 62 14 22 41 22 14 62 51 22 21 36 31 14 37 31 26 41 32 25 20 17 14 12 149 149 12 14 17 20 25 32 41 26 31 37 14 31 36 21 22 51 N S SD: 0.1365 c. M: 0.3232 c. 1448: 64 15 23 42 23 15 64 53 23 21 38 32 15 38 32 27 43 33 26 21 17 15 12 155 155 12 15 17 21 26 33 43 27 32 38 15 32 38 21 23 53 N S SD: 0.1258 c. M: 0.2343 c. 1506: 67 15 24 44 24 15 67 55 24 22 39 34 15 40 33 28 45 34 27 22 18 15 13 161 161 13 15 18 22 27 34 45 28 33 40 15 34 39 22 24 55 N S SD: 0.0760 c. M:-0.1775 c. 1889: 84 19 30 55 30 19 84 69 30 28 49 42 19 50 42 35 56 43 34 27 23 19 16 202 202 16 19 23 27 34 43 56 35 42 50 19 42 49 28 30 69 N S SD: 0.0858 c. M:-0.1716 c. 2190: 97 22 35 64 35 22 97 80 35 32 57 49 22 58 48 41 65 50 39 32 26 22 19 234 234 19 22 26 32 39 50 65 41 48 58 22 49 57 32 35 80 N S SD: 0.0673 c. M: 0.1425 c. 2460: 109 25 39 72 39 25 109 90 39 36 64 55 25 65 54 46 73 56 44 36 29 25 21 263 263 21 25 29 36 44 56 73 46 54 65 25 55 64 36 39 90 N S SD: 0.0591 c. M: 0.1300 c. 2684: 119 27 43 78 43 27 119 98 43 39 70 60 27 71 59 50 80 61 48 39 32 27 23 287 287 23 27 32 39 48 61 80 50 59 71 27 60 70 39 43 98 N S SD: 0.0420 c. M: 0.0953 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: 3.7570 cents 6 .. 12 match: 6 H SD: 0.0000 cents 7 .. 14 match: 7 H SD: 9.6704 cents 8 .. 16 match: 8 H SD: 0.0000 cents 9 .. 18 match: 9 H SD: 10.3055 cents 10 .. 20 match: 10 H SD: 3.2639 cents 11 .. 22 match: 10 SD: 5.5620 cents 12 .. 24 match: 12 H SD: 3.8295 cents 13 .. 26 match: 12 S SD: 3.8411 cents 14 .. 28 match: 13 SD: 3.9348 cents 15 .. 30 match: 14 SD: 3.4904 cents 16 .. 32 match: 14 S SD: 1.7322 cents 17 .. 34 match: 16 S SD: 3.6924 cents 18 .. 36 match: 16 SD: 1.9828 cents 19 .. 38 match: 16 SD: 2.9565 cents 20 .. 40 match: 18 S SD: 1.8523 cents 21 .. 42 match: 18 SD: 2.3955 cents 22 .. 44 match: 19 SD: 1.9701 cents 23 .. 46 match: 20 SD: 1.9727 cents 24 .. 48 match: 20 S SD: 1.0467 cents 25 .. 50 match: 22 SD: 1.9428 cents 26 .. 52 match: 22 S SD: 1.5079 cents 27 .. 54 match: 23 SD: 2.2296 cents 28 .. 56 match: 24 S SD: 1.9438 cents 29 .. 58 match: 24 SD: 2.0682 cents 30 .. 60 match: 25 SD: 1.6686 cents 31 .. 62 match: 25 SD: 1.5543 cents 32 .. 64 match: 26 S SD: 1.2988 cents 33 .. 66 match: 26 SD: 1.5963 cents 34 .. 68 match: 26 SD: 1.5165 cents 35 .. 70 match: 28 SD: 1.4901 cents 36 .. 72 match: 27 SD: 1.3464 cents 37 .. 74 match: 27 SD: 1.7848 cents 38 .. 76 match: 27 SD: 1.4116 cents 39 .. 78 match: 30 SD: 1.2001 cents 40 .. 80 match: 31 SD: 1.1139 cents 41 .. 82 match: 32 SD: 1.1813 cents 42 .. 84 match: 32 SD: 1.3570 cents 43 .. 86 match: 32 SD: 1.4079 cents 44 .. 88 match: 31 SD: 1.2264 cents 45 .. 90 match: 32 SD: 1.0809 cents 46 .. 92 match: 33 SD: 1.2283 cents 47 .. 94 match: 32 SD: 1.3497 cents 48 .. 96 match: 33 SD: 1.0326 cents 49 .. 98 match: 31 SD: 1.0213 cents 50 .. 100 match: 31 SD: 1.3591 cents 51 .. 102 match: 34 SD: 1.1650 cents 52 .. 104 match: 35 SD: 1.0565 cents 53 .. 106 match: 33 SD: 1.0903 cents 54 .. 108 match: 34 SD: 0.9553 cents 55 .. 110 match: 37 SD: 0.9286 cents 56 .. 112 match: 34 SD: 0.8571 cents 57 .. 114 match: 34 SD: 0.8669 cents 58 .. 116 match: 35 SD: 0.9666 cents 59 .. 118 match: 35 SD: 0.9254 cents 60 .. 120 match: 37 SD: 0.7429 cents 61 .. 122 match: 38 SD: 0.9428 cents 62 .. 124 match: 34 SD: 1.0128 cents 63 .. 126 match: 34 SD: 0.7952 cents 64 .. 128 match: 37 SD: 0.7685 cents 65 .. 130 match: 37 SD: 0.8661 cents 66 .. 132 match: 37 SD: 0.7049 cents 67 .. 134 match: 37 SD: 0.8179 cents 68 .. 136 match: 36 SD: 0.9141 cents 69 .. 138 match: 36 SD: 0.8415 cents 70 .. 140 match: 39 SD: 0.8516 cents 71 .. 142 match: 37 SD: 0.7019 cents 72 .. 144 match: 39 SD: 0.7439 cents 73 .. 146 match: 39 SD: 0.7824 cents 74 .. 148 match: 39 SD: 0.6949 cents 75 .. 150 match: 38 SD: 0.8010 cents 76 .. 152 match: 38 SD: 0.8308 cents 77 .. 154 match: 39 SD: 0.7055 cents 78 .. 156 match: 40 SD: 0.6776 cents 79 .. 158 match: 38 SD: 0.6966 cents 80 .. 160 match: 37 SD: 0.5218 cents 81 .. 162 match: 37 SD: 0.7178 cents 82 .. 164 match: 38 SD: 0.7421 cents 83 .. 166 match: 40 SD: 0.5981 cents 84 .. 168 match: 38 SD: 0.6016 cents 85 .. 170 match: 38 SD: 0.5981 cents 86 .. 172 match: 40 SD: 0.6330 cents 87 .. 174 match: 38 SD: 0.7242 cents 88 .. 176 match: 40 SD: 0.6215 cents 89 .. 178 match: 40 SD: 0.6482 cents 90 .. 180 match: 37 SD: 0.6655 cents 91 .. 182 match: 40 SD: 0.6570 cents 92 .. 184 match: 39 SD: 0.7143 cents 93 .. 186 match: 40 SD: 0.6879 cents 94 .. 188 match: 40 SD: 0.6300 cents 95 .. 190 match: 40 SD: 0.6094 cents 96 .. 192 match: 41 SD: 0.3867 cents 100 .. 200 match: 40 SD: 0.5452 cents 101 .. 202 match: 41 SD: 0.5102 cents 102 .. 204 match: 40 SD: 0.4818 cents 103 .. 206 match: 38 SD: 0.6016 cents 104 .. 208 match: 40 SD: 0.5138 cents 108 .. 216 match: 40 SD: 0.5666 cents 109 .. 218 match: 41 SD: 0.4810 cents 112 .. 224 match: 39 SD: 0.4283 cents 113 .. 226 match: 40 SD: 0.5648 cents 114 .. 228 match: 39 SD: 0.5150 cents 115 .. 230 match: 39 SD: 0.4593 cents 116 .. 232 match: 40 SD: 0.5498 cents 118 .. 236 match: 41 SD: 0.4877 cents 119 .. 238 match: 41 SD: 0.4341 cents 120 .. 240 match: 41 SD: 0.4171 cents 123 .. 246 match: 41 SD: 0.4124 cents 126 .. 252 match: 40 SD: 0.4678 cents 127 .. 254 match: 41 SD: 0.4617 cents 128 .. 256 match: 41 SD: 0.4144 cents 129 .. 258 match: 41 SD: 0.4100 cents 135 .. 270 match: 41 SD: 0.4041 cents 137 .. 274 match: 41 SD: 0.3877 cents 141 .. 282 match: 41 SD: 0.3770 cents 144 .. 288 match: 41 SD: 0.3583 cents 151 .. 302 match: 41 SD: 0.3407 cents 154 .. 308 match: 41 SD: 0.3320 cents 155 .. 310 match: 41 SD: 0.3177 cents 156 .. 312 match: 41 SD: 0.3171 cents 157 .. 314 match: 41 SD: 0.3037 cents 168 .. 336 match: 41 SD: 0.2788 cents 185 .. 370 match: 41 SD: 0.2761 cents 192 .. 384 match: 41 SD: 0.2676 cents 200 .. 400 match: 41 SD: 0.2482 cents 216 .. 432 match: 41 SD: 0.2397 cents 220 .. 440 match: 41 SD: 0.2386 cents 224 .. 448 match: 41 SD: 0.2173 cents 234 .. 468 match: 41 SD: 0.1921 cents 256 .. 512 match: 41 SD: 0.1886 cents 264 .. 528 match: 41 SD: 0.1747 cents 280 .. 560 match: 41 SD: 0.1699 cents 311 .. 622 match: 41 SD: 0.1661 cents 312 .. 624 match: 41 SD: 0.1559 cents 320 .. 640 match: 41 SD: 0.1274 cents 360 .. 720 match: 41 SD: 0.1228 cents 384 .. 768 match: 41 SD: 0.1153 cents 416 .. 832 match: 41 SD: 0.1074 cents 448 .. 896 match: 41 SD: 0.0967 cents 480 .. 960 match: 41 SD: 0.0879 cents 515 .. 1030 match: 41 SD: 0.0859 cents 520 .. 1040 match: 41 SD: 0.0821 cents 576 .. 1152 match: 41 SD: 0.0804 cents 600 .. 1200 match: 41 SD: 0.0791 cents