Scala analysis: xen06-polansky-study-full
Full four octave tuning for 'Piano Study #5 (For JPR)'
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 21/20 84.467193 minor semitone 2: 9/8 203.910002 major whole tone 3: 6/5 315.641287 minor third 4: 5/4 386.313714 major third 5: 4/3 498.044999 perfect fourth 6: 7/5 582.512193 septimal or Huygens' tritone, BP fourth 7: 3/2 701.955001 perfect fifth 8: 8/5 813.686286 minor sixth 9: 5/3 884.358713 major sixth, BP sixth 10: 7/4 968.825906 harmonic seventh 11: 15/8 1088.268715 classic major seventh 12: 2/1 1200.000000 octave 13: 21/10 1284.467193 minor semitone +1 octave 14: 9/4 1403.910002 major ninth 15: 12/5 1515.641287 minor 10th 16: 5/2 1586.313714 major 10th 17: 8/3 1698.044999 perfect 11th 18: 14/5 1782.512193 septimal or Huygens' tritone, BP fourth +1 octave 19: 3/1 1901.955001 perfect 12th 20: 16/5 2013.686286 minor 13th 21: 10/3 2084.358713 major 13th 22: 7/2 2168.825906 harmonic 14th 23: 15/4 2288.268715 classic major 14th 24: 4/1 2400.000000 2 octaves 25: 33/8 2453.272943 undecimal comma, al-Farabi's 1/4-tone +2 octaves 26: 9/2 2603.910002 perfect 16th 27: 24/5 2715.641287 minor 17th 28: 5/1 2786.313714 major 17th 29: 21/4 2870.780907 narrow fourth +2 octaves 30: 11/2 2951.317942 undecimal semi-augmented fourth +2 octaves 31: 6/1 3101.955001 perfect 19th 32: 32/5 3213.686286 minor 20th 33: 13/2 3240.527662 tridecimal neutral sixth +2 octaves 34: 7/1 3368.825906 harmonic 21st 35: 15/2 3488.268715 classic major 21st 36: 8/1 3600.000000 3 octaves 37: 42/5 3684.467193 minor semitone +3 octaves 38: 9/1 3803.910002 perfect 23rd 39: 28/3 3866.870906 minimal 24th 40: 10/1 3986.313714 major 24th 41: 32/3 4098.044999 perfect 25th 42: 11/1 4151.317942 undecimal semi-augmented fourth +3 octaves 43: 12/1 4301.955001 perfect 26th 44: 64/5 4413.686286 minor 27th 45: 27/2 4505.865003 Pythagorean major sixth +3 octaves 46: 14/1 4568.825906 harmonic 28th 47: 15/1 4688.268715 classic major 28th 48: 16/1 4800.000000 4 octaves
SHOW/INTERVAL
0: 16/15 111.7313 minor diatonic semitone 1: 21/20 84.4672 minor semitone 2: 15/14 119.4428 major diatonic semitone 3: 16/15 111.7313 minor diatonic semitone 4: 25/24 70.6724 classic chromatic semitone, minor chroma 5: 16/15 111.7313 minor diatonic semitone 6: 21/20 84.4672 minor semitone 7: 15/14 119.4428 major diatonic semitone 8: 16/15 111.7313 minor diatonic semitone 9: 25/24 70.6724 classic chromatic semitone, minor chroma 10: 21/20 84.4672 minor semitone 11: 15/14 119.4428 major diatonic semitone 12: 16/15 111.7313 minor diatonic semitone 13: 21/20 84.4672 minor semitone 14: 15/14 119.4428 major diatonic semitone 15: 16/15 111.7313 minor diatonic semitone 16: 25/24 70.6724 classic chromatic semitone, minor chroma 17: 16/15 111.7313 minor diatonic semitone 18: 21/20 84.4672 minor semitone 19: 15/14 119.4428 major diatonic semitone 20: 16/15 111.7313 minor diatonic semitone 21: 25/24 70.6724 classic chromatic semitone, minor chroma 22: 21/20 84.4672 minor semitone 23: 15/14 119.4428 major diatonic semitone 24: 16/15 111.7313 minor diatonic semitone 25: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 26: 12/11 150.6371 undecimal neutral second, 3/4-tone 27: 16/15 111.7313 minor diatonic semitone 28: 25/24 70.6724 classic chromatic semitone, minor chroma 29: 21/20 84.4672 minor semitone 30: 22/21 80.5370 undecimal minor semitone 31: 12/11 150.6371 undecimal neutral second, 3/4-tone 32: 16/15 111.7313 minor diatonic semitone 33: 65/64 26.8414 13th-partial chroma 34: 14/13 128.2982 2/3-tone 35: 15/14 119.4428 major diatonic semitone 36: 16/15 111.7313 minor diatonic semitone 37: 21/20 84.4672 minor semitone 38: 15/14 119.4428 major diatonic semitone 39: 28/27 62.9609 Archytas' 1/3-tone 40: 15/14 119.4428 major diatonic semitone 41: 16/15 111.7313 minor diatonic semitone 42: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 43: 12/11 150.6371 undecimal neutral second, 3/4-tone 44: 16/15 111.7313 minor diatonic semitone 45: 135/128 92.1787 major chroma, major limma 46: 28/27 62.9609 Archytas' 1/3-tone 47: 15/14 119.4428 major diatonic semitone 48: 16/15 111.7313 minor diatonic semitone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 65/64 26.841 cents 13th-partial chroma 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 1: 5 25/24 70.672 cents classic chromatic semitone, minor chroma 1: 1 22/21 80.537 cents undecimal minor semitone 1: 8 21/20 84.467 cents minor semitone 1: 1 135/128 92.179 cents major chroma, major limma 1: 14 16/15 111.731 cents minor diatonic semitone 1: 10 15/14 119.443 cents major diatonic semitone 1: 1 14/13 128.298 cents 2/3-tone 1: 3 12/11 150.637 cents undecimal neutral second, 3/4-tone 2: 1 13/12 138.573 cents tridecimal 2/3-tone 2: 5 35/32 155.140 cents septimal neutral second 2: 3 11/10 165.004 cents Ptolemy's second, 4/5-tone 2: 10 10/9 182.404 cents minor whole tone 2: 5 28/25 196.198 cents middle second 2: 10 9/8 203.910 cents major whole tone 2: 10 8/7 231.174 cents septimal whole tone 2: 1 15/13 247.741 cents tridecimal 5/4-tone 2: 3 64/55 262.368 cents 3: 1 55/48 235.677 cents undecimal semi-augmented whole tone 3: 8 7/6 266.871 cents septimal minor third 3: 4 75/64 274.582 cents classic augmented second 3: 2 33/28 284.447 cents undecimal minor third 3: 1 13/11 289.210 cents tridecimal minor third 3: 4 32/27 294.135 cents Pythagorean minor third 3: 5 25/21 301.847 cents BP second, quasi-equal minor third 3: 19 6/5 315.641 cents minor third 3: 1 40/33 333.041 cents 3: 1 128/105 342.905 cents septimal neutral third 3: 1 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 3: 1 16/13 359.472 cents tridecimal neutral third 4: 2 11/9 347.408 cents undecimal neutral third 4: 1 99/80 368.914 cents 4: 1 26/21 369.747 cents 4: 4 56/45 378.602 cents septimal narrow major third 4: 19 5/4 386.314 cents major third 4: 1 63/50 400.108 cents quasi-equal major third 4: 1 81/64 407.820 cents Pythagorean major third 4: 3 80/63 413.578 cents wide major third 4: 3 14/11 417.508 cents undecimal diminished fourth or major third 4: 7 32/25 427.373 cents classic diminished fourth 4: 5 9/7 435.084 cents septimal major third, BP third 4: 1 84/65 443.940 cents 5: 1 165/128 439.587 cents 5: 1 13/10 454.214 cents tridecimal semi-diminished fourth 5: 1 55/42 466.851 cents 5: 7 21/16 470.781 cents narrow fourth 5: 26 4/3 498.045 cents perfect fourth 5: 2 75/56 505.757 cents marvelous fourth 5: 3 27/20 519.551 cents acute fourth 5: 2 15/11 536.951 cents undecimal augmented fourth 5: 4 48/35 546.815 cents septimal semi-augmented fourth 5: 1 18/13 563.382 cents tridecimal augmented fourth 6: 1 65/48 524.886 cents 6: 3 11/8 551.318 cents undecimal semi-augmented fourth 6: 2 25/18 568.717 cents classic augmented fourth 6: 10 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 6: 7 45/32 590.224 cents diatonic tritone 6: 8 64/45 609.776 cents 2nd tritone 6: 10 10/7 617.488 cents Euler's tritone 6: 1 56/39 626.343 cents 6: 2 36/25 631.283 cents classic diminished fifth 6: 1 81/56 638.994 cents 6: 3 16/11 648.682 cents undecimal semi-diminished fifth 7: 1 13/9 636.618 cents tridecimal diminished fifth 7: 4 35/24 653.185 cents septimal semi-diminished fifth 7: 2 22/15 663.049 cents undecimal diminished fifth 7: 1 165/112 670.761 cents 7: 3 40/27 680.449 cents grave fifth 7: 2 112/75 694.243 cents marvelous fifth 7: 24 3/2 701.955 cents perfect fifth 7: 7 32/21 729.219 cents wide fifth 7: 2 84/55 733.149 cents 7: 1 20/13 745.786 cents tridecimal semi-augmented fifth 7: 1 256/165 760.413 cents 8: 1 99/64 755.228 cents 8: 5 14/9 764.916 cents septimal minor sixth 8: 7 25/16 772.627 cents classic augmented fifth 8: 2 11/7 782.492 cents undecimal augmented fifth 8: 3 63/40 786.422 cents narrow minor sixth 8: 1 52/33 787.255 cents tridecimal minor sixth 8: 1 128/81 792.180 cents Pythagorean minor sixth 8: 2 100/63 799.892 cents quasi-equal minor sixth 8: 19 8/5 813.686 cents minor sixth 8: 4 45/28 821.398 cents septimale wide minor sixth 8: 2 18/11 852.592 cents undecimal neutral sixth 8: 1 64/39 857.517 cents 39th subharmonic 9: 1 13/8 840.528 cents tridecimal neutral sixth 9: 1 105/64 857.095 cents septimal neutral sixth 9: 2 33/20 866.959 cents 9: 1 224/135 876.647 cents narrow septimal major sixth 9: 19 5/3 884.359 cents major sixth, BP sixth 9: 4 42/25 898.153 cents quasi-equal major sixth 9: 4 27/16 905.865 cents Pythagorean major sixth 9: 1 22/13 910.790 cents tridecimal major sixth 9: 2 56/33 915.553 cents 9: 4 128/75 925.418 cents diminished seventh 9: 8 12/7 933.129 cents septimal major sixth 9: 1 96/55 964.323 cents 10: 3 55/32 937.632 cents 10: 1 26/15 952.259 cents tridecimal semi-augmented sixth 10: 9 7/4 968.826 cents harmonic seventh 10: 11 16/9 996.090 cents Pythagorean minor seventh 10: 5 25/14 1003.802 cents middle minor seventh 10: 11 9/5 1017.596 cents just minor seventh, BP seventh 10: 3 20/11 1034.996 cents large minor seventh 10: 4 64/35 1044.860 cents septimal neutral seventh 10: 1 24/13 1061.427 cents tridecimal neutral seventh 11: 3 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 11: 1 13/7 1071.702 cents 16/3-tone 11: 10 28/15 1080.557 cents grave major seventh 11: 15 15/8 1088.269 cents classic major seventh 11: 1 256/135 1107.821 cents octave - major chroma 11: 7 40/21 1115.533 cents acute major seventh 11: 5 48/25 1129.328 cents classic diminished octave 11: 2 27/14 1137.039 cents septimal major seventh 11: 3 64/33 1146.727 cents 33rd subharmonic 11: 1 128/65 1173.159 cents 12: 1 35/18 1151.230 cents septimal semi-diminished octave 12: 1 39/20 1156.169 cents 12: 2 55/28 1168.806 cents 12: 1 63/32 1172.736 cents octave - septimal comma 12: 1 160/81 1178.494 cents octave - syntonic comma 12: 37 2/1 1200.000 cents octave 12: 1 128/63 1227.264 cents septimal comma, Archytas' comma +1 octave 12: 2 112/55 1231.194 cents undecimal diesis, konbini comma +1 octave 12: 1 72/35 1248.770 cents septimal diesis, 1/4-tone +1 octave 12: 1 27/13 1265.337 cents tridecimal comma +1 octave 13: 1 65/32 1226.841 cents 13th-partial chroma +1 octave 13: 2 33/16 1253.273 cents undecimal comma, al-Farabi's 1/4-tone +1 octave 13: 2 56/27 1262.961 cents Archytas' 1/3-tone +1 octave 13: 5 25/12 1270.672 cents classic augmented octave 13: 1 44/21 1280.537 cents undecimal minor semitone +1 octave 13: 8 21/10 1284.467 cents minor semitone +1 octave 13: 1 135/64 1292.179 cents major chroma, major limma +1 octave 13: 14 32/15 1311.731 cents minor ninth 13: 10 15/7 1319.443 cents septimal minor ninth, BP ninth 13: 1 28/13 1328.298 cents 2/3-tone +1 octave 13: 3 24/11 1350.637 cents undecimal neutral second, 3/4-tone +1 octave 14: 1 13/6 1338.573 cents tridecimal 2/3-tone +1 octave 14: 5 35/16 1355.140 cents septimal neutral second +1 octave 14: 3 11/5 1365.004 cents neutral ninth 14: 9 20/9 1382.404 cents small ninth 14: 5 56/25 1396.198 cents middle second +1 octave 14: 10 9/4 1403.910 cents major ninth 14: 1 224/99 1413.598 cents 14: 11 16/7 1431.174 cents septimal major ninth 14: 1 30/13 1447.741 cents tridecimal 5/4-tone +1 octave 14: 2 128/55 1462.368 cents 15: 2 55/24 1435.677 cents undecimal semi-augmented whole tone +1 octave 15: 1 65/28 1458.015 cents 15: 7 7/3 1466.871 cents minimal tenth, BP tenth 15: 4 75/32 1474.582 cents classic augmented second +1 octave 15: 1 33/14 1484.447 cents undecimal minor third +1 octave 15: 4 64/27 1494.135 cents Pythagorean minor third +1 octave 15: 4 50/21 1501.847 cents BP second, quasi-equal minor third +1 octave 15: 20 12/5 1515.641 cents minor 10th 15: 2 80/33 1533.041 cents 15: 1 256/105 1542.905 cents septimal neutral third +1 octave 15: 1 27/11 1554.547 cents neutral third, Zalzal wosta of al-Farabi +1 octave 15: 1 32/13 1559.472 cents tridecimal neutral third +1 octave 16: 1 39/16 1542.483 cents 39th harmonic, Zalzal wosta of Ibn Sina +1 octave 16: 2 22/9 1547.408 cents undecimal neutral third +1 octave 16: 1 99/40 1568.914 cents 16: 4 112/45 1578.602 cents septimal narrow major third +1 octave 16: 20 5/2 1586.314 cents major 10th 16: 1 63/25 1600.108 cents quasi-equal major tenth, BP eleventh 16: 2 160/63 1613.578 cents wide major third +1 octave 16: 2 28/11 1617.508 cents undecimal diminished fourth or major third +1 octave 16: 7 64/25 1627.373 cents classic diminished 11th 16: 6 18/7 1635.084 cents septimal major 10th 16: 1 168/65 1643.940 cents 16: 1 256/99 1644.772 cents 17: 1 165/64 1639.587 cents 17: 1 13/5 1654.214 cents tridecimal semi-diminished fourth +1 octave 17: 1 55/21 1666.851 cents 17: 7 21/8 1670.781 cents narrow fourth +1 octave 17: 26 8/3 1698.045 cents perfect 11th 17: 2 75/28 1705.757 cents marvelous fourth +1 octave 17: 3 27/10 1719.551 cents acute fourth +1 octave 17: 2 30/11 1736.951 cents undecimal augmented fourth +1 octave 17: 4 96/35 1746.815 cents septimal semi-augmented fourth +1 octave 17: 1 36/13 1763.382 cents tridecimal augmented fourth +1 octave 18: 1 65/24 1724.886 cents 18: 3 11/4 1751.318 cents undecimal semi-augmented fourth +1 octave 18: 1 25/9 1768.717 cents classic augmented eleventh, BP twelfth 18: 11 14/5 1782.512 cents septimal or Huygens' tritone, BP fourth +1 octave 18: 8 45/16 1790.224 cents diatonic tritone +1 octave 18: 8 128/45 1809.776 cents 2nd tritone +1 octave 18: 11 20/7 1817.488 cents Euler's tritone +1 octave 18: 1 72/25 1831.283 cents classic diminished 12th 18: 3 32/11 1848.682 cents undecimal semi-diminished fifth +1 octave 18: 1 192/65 1875.114 cents 19: 1 26/9 1836.618 cents tridecimal diminished fifth +1 octave 19: 4 35/12 1853.185 cents septimal semi-diminished fifth +1 octave 19: 2 44/15 1863.049 cents undecimal diminished fifth +1 octave 19: 1 165/56 1870.761 cents 19: 3 80/27 1880.449 cents grave fifth +1 octave 19: 2 224/75 1894.243 cents marvelous fifth +1 octave 19: 24 3/1 1901.955 cents perfect 12th 19: 7 64/21 1929.219 cents wide fifth +1 octave 19: 2 168/55 1933.149 cents 19: 1 40/13 1945.786 cents tridecimal semi-augmented fifth +1 octave 19: 1 512/165 1960.413 cents 20: 1 99/32 1955.228 cents 20: 1 65/21 1956.060 cents 20: 5 28/9 1964.916 cents septimal minor 13th 20: 7 25/8 1972.627 cents classic augmented 12th 20: 2 22/7 1982.492 cents undecimal augmented fifth +1 octave 20: 3 63/20 1986.422 cents narrow minor sixth +1 octave 20: 1 256/81 1992.180 cents Pythagorean minor sixth +1 octave 20: 2 200/63 1999.892 cents quasi-equal minor sixth +1 octave 20: 19 16/5 2013.686 cents minor 13th 20: 3 45/14 2021.398 cents septimale wide minor sixth +1 octave 20: 3 36/11 2052.592 cents undecimal neutral sixth +1 octave 20: 1 128/39 2057.517 cents 39th subharmonic +1 octave 21: 1 13/4 2040.528 cents tridecimal neutral sixth +1 octave 21: 1 105/32 2057.095 cents septimal neutral sixth +1 octave 21: 3 33/10 2066.959 cents 21: 1 448/135 2076.647 cents narrow septimal major sixth +1 octave 21: 20 10/3 2084.359 cents major 13th 21: 3 84/25 2098.153 cents quasi-equal major sixth +1 octave 21: 4 27/8 2105.865 cents Pythagorean major sixth +1 octave 21: 1 112/33 2115.553 cents 21: 4 256/75 2125.418 cents diminished seventh +1 octave 21: 7 24/7 2133.129 cents septimal major 13th 21: 1 224/65 2141.985 cents 21: 2 192/55 2164.323 cents 22: 3 55/16 2137.632 cents 22: 1 52/15 2152.259 cents tridecimal semi-augmented sixth +1 octave 22: 10 7/2 2168.826 cents harmonic 14th 22: 10 32/9 2196.090 cents Pythagorean minor 14th 22: 5 25/7 2203.802 cents middle minor seventh +1 octave 22: 10 18/5 2217.596 cents minor 14th 22: 3 40/11 2234.996 cents large minor seventh +1 octave 22: 5 128/35 2244.860 cents septimal neutral seventh +1 octave 22: 1 48/13 2261.427 cents tridecimal neutral seventh +1 octave 23: 3 11/3 2249.363 cents undecimal neutral seventh, 21/4-tone +1 octave 23: 1 26/7 2271.702 cents 16/3-tone +1 octave 23: 10 56/15 2280.557 cents grave major seventh +1 octave 23: 15 15/4 2288.269 cents classic major 14th 23: 1 512/135 2307.821 cents octave - major chroma +1 octave 23: 7 80/21 2315.533 cents acute major seventh +1 octave 23: 5 96/25 2329.328 cents classic diminished octave +1 octave 23: 2 27/7 2337.039 cents septimal major seventh +1 octave 23: 3 128/33 2346.727 cents 33rd subharmonic +1 octave 23: 1 256/65 2373.159 cents 24: 1 35/9 2351.230 cents septimal semi-diminished octave +1 octave 24: 1 39/10 2356.169 cents 24: 3 55/14 2368.806 cents 24: 1 63/16 2372.736 cents octave - septimal comma +1 octave 24: 1 320/81 2378.494 cents octave - syntonic comma +1 octave 24: 34 4/1 2400.000 cents 2 octaves 24: 1 81/20 2421.506 cents syntonic comma, Didymus comma +2 octaves 24: 1 256/63 2427.264 cents septimal comma, Archytas' comma +2 octaves 24: 3 224/55 2431.194 cents undecimal diesis, konbini comma +2 octaves 24: 1 160/39 2443.831 cents tridecimal minor diesis +2 octaves 24: 1 144/35 2448.770 cents septimal diesis, 1/4-tone +2 octaves 25: 1 65/16 2426.841 cents 13th-partial chroma +2 octaves 25: 3 33/8 2453.273 cents undecimal comma, al-Farabi's 1/4-tone +2 octaves 25: 2 112/27 2462.961 cents Archytas' 1/3-tone +2 octaves 25: 5 25/6 2470.672 cents classic chromatic semitone, minor chroma +2 octaves 25: 7 21/5 2484.467 cents minor semitone +2 octaves 25: 1 135/32 2492.179 cents major chroma, major limma +2 octaves 25: 15 64/15 2511.731 cents minor diatonic semitone +2 octaves 25: 10 30/7 2519.443 cents major diatonic semitone +2 octaves 25: 1 56/13 2528.298 cents 2/3-tone +2 octaves 25: 3 48/11 2550.637 cents undecimal neutral second, 3/4-tone +2 octaves 26: 1 13/3 2538.573 cents tridecimal 2/3-tone +2 octaves 26: 5 35/8 2555.140 cents septimal neutral second +2 octaves 26: 3 22/5 2565.004 cents Ptolemy's second, 4/5-tone +2 octaves 26: 10 40/9 2582.404 cents minor whole tone +2 octaves 26: 5 112/25 2596.198 cents middle second +2 octaves 26: 10 9/2 2603.910 cents perfect 16th 26: 10 32/7 2631.174 cents harmonic 16th 26: 1 60/13 2647.741 cents tridecimal 5/4-tone +2 octaves 26: 3 256/55 2662.368 cents 27: 2 55/12 2635.677 cents undecimal semi-augmented whole tone +2 octaves 27: 1 65/14 2658.015 cents 27: 7 14/3 2666.871 cents minimal 17th 27: 4 75/16 2674.582 cents classic augmented second +2 octaves 27: 1 33/7 2684.447 cents undecimal minor third +2 octaves 27: 4 128/27 2694.135 cents Pythagorean minor third +2 octaves 27: 3 100/21 2701.847 cents BP second, quasi-equal minor third +2 octaves 27: 20 24/5 2715.641 cents minor 17th 27: 1 135/28 2723.353 cents septimal wide minor third +2 octaves 27: 3 160/33 2733.041 cents 27: 1 512/105 2742.905 cents septimal neutral third +2 octaves 27: 1 64/13 2759.472 cents tridecimal neutral third +2 octaves 28: 1 39/8 2742.483 cents 39th harmonic, Zalzal wosta of Ibn Sina +2 octaves 28: 3 44/9 2747.408 cents undecimal neutral third +2 octaves 28: 3 224/45 2778.602 cents septimal narrow major third +2 octaves 28: 19 5/1 2786.314 cents major 17th 28: 2 126/25 2800.108 cents quasi-equal major third +2 octaves 28: 1 81/16 2807.820 cents Pythagorean major third +2 octaves 28: 3 320/63 2813.578 cents wide major third +2 octaves 28: 2 56/11 2817.508 cents undecimal diminished fourth or major third +2 octaves 28: 7 128/25 2827.373 cents classic diminished 18th 28: 5 36/7 2835.084 cents septimal major 17th 28: 1 336/65 2843.940 cents 28: 1 512/99 2844.772 cents 29: 1 165/32 2839.587 cents 29: 1 26/5 2854.214 cents tridecimal semi-diminished fourth +2 octaves 29: 2 110/21 2866.851 cents 29: 7 21/4 2870.781 cents narrow fourth +2 octaves 29: 24 16/3 2898.045 cents perfect 18th 29: 2 75/14 2905.757 cents marvelous fourth +2 octaves 29: 3 27/5 2919.551 cents acute fourth +2 octaves 29: 1 896/165 2929.239 cents 29: 2 60/11 2936.951 cents undecimal augmented fourth +2 octaves 29: 4 192/35 2946.815 cents septimal semi-augmented fourth +2 octaves 29: 1 72/13 2963.382 cents tridecimal augmented fourth +2 octaves 30: 1 65/12 2924.886 cents 30: 3 11/2 2951.318 cents undecimal semi-augmented fourth +2 octaves 30: 1 50/9 2968.717 cents classic augmented 18th 30: 11 28/5 2982.512 cents septimal or Huygens' tritone, BP fourth +2 octaves 30: 8 45/8 2990.224 cents diatonic tritone +2 octaves 30: 8 256/45 3009.776 cents 2nd tritone +2 octaves 30: 11 40/7 3017.488 cents Euler's tritone +2 octaves 30: 1 144/25 3031.283 cents classic diminished 19th 30: 3 64/11 3048.682 cents undecimal semi-diminished fifth +2 octaves 30: 1 384/65 3075.114 cents 31: 1 52/9 3036.618 cents tridecimal diminished fifth +2 octaves 31: 4 35/6 3053.185 cents septimal semi-diminished fifth +2 octaves 31: 2 88/15 3063.049 cents undecimal diminished fifth +2 octaves 31: 3 160/27 3080.449 cents grave fifth +2 octaves 31: 2 448/75 3094.243 cents marvelous fifth +2 octaves 31: 26 6/1 3101.955 cents perfect 19th 31: 7 128/21 3129.219 cents wide fifth +2 octaves 31: 1 336/55 3133.149 cents 31: 1 80/13 3145.786 cents tridecimal semi-augmented fifth +2 octaves 31: 1 1024/165 3160.413 cents 32: 1 99/16 3155.228 cents 32: 1 130/21 3156.060 cents 32: 6 56/9 3164.916 cents septimal minor 20th 32: 7 25/4 3172.627 cents classic augmented 19th 32: 2 44/7 3182.492 cents undecimal augmented fifth +2 octaves 32: 2 63/10 3186.422 cents narrow minor sixth +2 octaves 32: 1 400/63 3199.892 cents quasi-equal minor sixth +2 octaves 32: 20 32/5 3213.686 cents minor 20th 32: 4 45/7 3221.398 cents septimale wide minor sixth +2 octaves 32: 1 640/99 3231.086 cents 32: 2 72/11 3252.592 cents undecimal neutral sixth +2 octaves 32: 1 256/39 3257.517 cents 39th subharmonic +2 octaves 33: 1 13/2 3240.528 cents tridecimal neutral sixth +2 octaves 33: 1 176/27 3245.453 cents neutral sixth +2 octaves 33: 1 105/16 3257.095 cents septimal neutral sixth +2 octaves 33: 2 33/5 3266.959 cents 33: 20 20/3 3284.359 cents major 20th 33: 4 168/25 3298.153 cents quasi-equal major sixth +2 octaves 33: 4 27/4 3305.865 cents Pythagorean major sixth +2 octaves 33: 1 224/33 3315.553 cents 33: 4 512/75 3325.418 cents diminished seventh +2 octaves 33: 7 48/7 3333.129 cents septimal major 20th 33: 1 448/65 3341.985 cents 33: 2 384/55 3364.323 cents 34: 2 55/8 3337.632 cents 34: 1 104/15 3352.259 cents tridecimal semi-augmented sixth +2 octaves 34: 11 7/1 3368.826 cents harmonic 21st 34: 1 99/14 3386.402 cents 34: 10 64/9 3396.090 cents Pythagorean minor 21st 34: 5 50/7 3403.802 cents middle minor seventh +2 octaves 34: 9 36/5 3417.596 cents minor 21st 34: 3 80/11 3434.996 cents large minor seventh +2 octaves 34: 5 256/35 3444.860 cents septimal neutral seventh +2 octaves 34: 1 96/13 3461.427 cents tridecimal neutral seventh +2 octaves 35: 3 22/3 3449.363 cents undecimal neutral seventh, 21/4-tone +2 octaves 35: 1 52/7 3471.702 cents 16/3-tone +2 octaves 35: 10 112/15 3480.557 cents grave major seventh +2 octaves 35: 14 15/2 3488.269 cents classic major 21st 35: 1 1024/135 3507.821 cents octave - major chroma +2 octaves 35: 8 160/21 3515.533 cents acute major seventh +2 octaves 35: 1 84/11 3519.463 cents undecimal major seventh +2 octaves 35: 5 192/25 3529.328 cents classic diminished octave +2 octaves 35: 2 54/7 3537.039 cents septimal major seventh +2 octaves 35: 2 256/33 3546.727 cents 33rd subharmonic +2 octaves 35: 1 512/65 3573.159 cents 36: 1 208/27 3534.663 cents 36: 1 70/9 3551.230 cents septimal semi-diminished octave +2 octaves 36: 2 55/7 3568.806 cents 36: 1 63/8 3572.736 cents octave - septimal comma +2 octaves 36: 37 8/1 3600.000 cents 3 octaves 36: 1 81/10 3621.506 cents syntonic comma, Didymus comma +3 octaves 36: 1 512/63 3627.264 cents septimal comma, Archytas' comma +3 octaves 36: 2 448/55 3631.194 cents undecimal diesis, konbini comma +3 octaves 36: 1 320/39 3643.831 cents tridecimal minor diesis +3 octaves 36: 1 288/35 3648.770 cents septimal diesis, 1/4-tone +3 octaves 37: 1 65/8 3626.841 cents 13th-partial chroma +3 octaves 37: 3 33/4 3653.273 cents undecimal comma, al-Farabi's 1/4-tone +3 octaves 37: 2 224/27 3662.961 cents Archytas' 1/3-tone +3 octaves 37: 5 25/3 3670.672 cents classic chromatic semitone, minor chroma +3 octaves 37: 7 42/5 3684.467 cents minor semitone +3 octaves 37: 1 135/16 3692.179 cents major chroma, major limma +3 octaves 37: 15 128/15 3711.731 cents minor diatonic semitone +3 octaves 37: 10 60/7 3719.443 cents major diatonic semitone +3 octaves 37: 1 112/13 3728.298 cents 2/3-tone +3 octaves 37: 3 96/11 3750.637 cents undecimal neutral second, 3/4-tone +3 octaves 38: 1 26/3 3738.573 cents tridecimal 2/3-tone +3 octaves 38: 4 35/4 3755.140 cents septimal neutral second +3 octaves 38: 3 44/5 3765.004 cents Ptolemy's second, 4/5-tone +3 octaves 38: 11 80/9 3782.404 cents minor whole tone +3 octaves 38: 5 224/25 3796.198 cents middle second +3 octaves 38: 11 9/1 3803.910 cents perfect 23rd 38: 9 64/7 3831.174 cents harmonic 23rd 38: 1 120/13 3847.741 cents tridecimal 5/4-tone +3 octaves 38: 3 512/55 3862.368 cents 39: 1 55/6 3835.677 cents undecimal semi-augmented whole tone +3 octaves 39: 8 28/3 3866.871 cents minimal 24th 39: 4 75/8 3874.582 cents classic augmented second +3 octaves 39: 2 66/7 3884.447 cents undecimal minor third +3 octaves 39: 1 104/11 3889.210 cents tridecimal minor third +3 octaves 39: 4 256/27 3894.135 cents Pythagorean minor third +3 octaves 39: 4 200/21 3901.847 cents BP second, quasi-equal minor third +3 octaves 39: 19 48/5 3915.641 cents minor 24th 39: 1 135/14 3923.353 cents septimal wide minor third +3 octaves 39: 2 320/33 3933.041 cents 39: 1 1024/105 3942.905 cents septimal neutral third +3 octaves 39: 1 128/13 3959.472 cents tridecimal neutral third +3 octaves 40: 1 39/4 3942.483 cents 39th harmonic, Zalzal wosta of Ibn Sina +3 octaves 40: 2 88/9 3947.408 cents undecimal neutral third +3 octaves 40: 4 448/45 3978.602 cents septimal narrow major third +3 octaves 40: 19 10/1 3986.314 cents major 24th 40: 2 252/25 4000.108 cents quasi-equal major third +3 octaves 40: 1 81/8 4007.820 cents Pythagorean major third +3 octaves 40: 1 132/13 4012.745 cents tridecimal major third +3 octaves 40: 3 640/63 4013.578 cents wide major third +3 octaves 40: 2 112/11 4017.508 cents undecimal diminished fourth or major third +3 octaves 40: 7 256/25 4027.373 cents classic diminished 25th 40: 5 72/7 4035.084 cents septimal major 24th 40: 1 1024/99 4044.772 cents 41: 1 165/16 4039.587 cents 41: 1 52/5 4054.214 cents tridecimal semi-diminished fourth +3 octaves 41: 2 220/21 4066.851 cents 41: 7 21/2 4070.781 cents narrow fourth +3 octaves 41: 24 32/3 4098.045 cents perfect 25th 41: 2 75/7 4105.757 cents marvelous fourth +3 octaves 41: 3 54/5 4119.551 cents acute fourth +3 octaves 41: 1 1792/165 4129.239 cents 41: 2 120/11 4136.951 cents undecimal augmented fourth +3 octaves 41: 4 384/35 4146.815 cents septimal semi-augmented fourth +3 octaves 41: 1 144/13 4163.382 cents tridecimal augmented fourth +3 octaves 42: 3 11/1 4151.318 cents undecimal semi-augmented fourth +3 octaves 42: 1 896/81 4161.006 cents 42: 2 100/9 4168.717 cents classic augmented 25th 42: 1 78/7 4173.657 cents 42: 10 56/5 4182.512 cents septimal or Huygens' tritone, BP fourth +3 octaves 42: 8 45/4 4190.224 cents diatonic tritone +3 octaves 42: 7 512/45 4209.776 cents 2nd tritone +3 octaves 42: 10 80/7 4217.488 cents Euler's tritone +3 octaves 42: 2 288/25 4231.283 cents classic diminished 26th 42: 3 128/11 4248.682 cents undecimal semi-diminished fifth +3 octaves 42: 1 768/65 4275.114 cents 43: 1 104/9 4236.618 cents tridecimal diminished fifth +3 octaves 43: 4 35/3 4253.185 cents septimal semi-diminished fifth +3 octaves 43: 2 176/15 4263.049 cents undecimal diminished fifth +3 octaves 43: 3 320/27 4280.449 cents grave fifth +3 octaves 43: 2 896/75 4294.243 cents marvelous fifth +3 octaves 43: 26 12/1 4301.955 cents perfect 26th 43: 7 256/21 4329.219 cents wide fifth +3 octaves 43: 1 672/55 4333.149 cents 43: 1 160/13 4345.786 cents tridecimal semi-augmented fifth +3 octaves 43: 1 2048/165 4360.413 cents 44: 1 260/21 4356.060 cents 44: 5 112/9 4364.916 cents septimal minor 27th 44: 7 25/2 4372.627 cents classic augmented 26th 44: 3 88/7 4382.492 cents undecimal augmented fifth +3 octaves 44: 3 63/5 4386.422 cents narrow minor sixth +3 octaves 44: 1 1024/81 4392.180 cents Pythagorean minor sixth +3 octaves 44: 1 800/63 4399.892 cents quasi-equal minor sixth +3 octaves 44: 19 64/5 4413.686 cents minor 27th 44: 4 90/7 4421.398 cents septimale wide minor sixth +3 octaves 44: 1 168/13 4430.253 cents 44: 1 1280/99 4431.086 cents 44: 2 144/11 4452.592 cents undecimal neutral sixth +3 octaves 45: 1 13/1 4440.528 cents tridecimal neutral sixth +3 octaves 45: 1 352/27 4445.453 cents neutral sixth +3 octaves 45: 1 105/8 4457.095 cents septimal neutral sixth +3 octaves 45: 1 66/5 4466.959 cents 45: 19 40/3 4484.359 cents major 27th 45: 5 336/25 4498.153 cents quasi-equal major sixth +3 octaves 45: 4 27/2 4505.865 cents Pythagorean major sixth +3 octaves 45: 1 176/13 4510.790 cents tridecimal major sixth +3 octaves 45: 2 448/33 4515.553 cents 45: 4 1024/75 4525.418 cents diminished seventh +3 octaves 45: 8 96/7 4533.129 cents septimal major 27th 45: 1 768/55 4564.323 cents 46: 3 55/4 4537.632 cents 46: 1 208/15 4552.259 cents tridecimal semi-augmented sixth +3 octaves 46: 10 14/1 4568.826 cents harmonic 28th 46: 10 128/9 4596.090 cents Pythagorean minor 28th 46: 5 100/7 4603.802 cents middle minor seventh +3 octaves 46: 10 72/5 4617.596 cents minor 28th 46: 3 160/11 4634.996 cents large minor seventh +3 octaves 46: 5 512/35 4644.860 cents septimal neutral seventh +3 octaves 46: 1 192/13 4661.427 cents tridecimal neutral seventh +3 octaves 47: 3 44/3 4649.363 cents undecimal neutral seventh, 21/4-tone +3 octaves 47: 1 104/7 4671.702 cents 16/3-tone +3 octaves 47: 10 224/15 4680.557 cents grave major seventh +3 octaves 47: 14 15/1 4688.269 cents classic major 28th 47: 1 2048/135 4707.821 cents octave - major chroma +3 octaves 47: 8 320/21 4715.533 cents acute major seventh +3 octaves 47: 1 168/11 4719.463 cents undecimal major seventh +3 octaves 47: 5 384/25 4729.328 cents classic diminished octave +3 octaves 47: 2 108/7 4737.039 cents septimal major seventh +3 octaves 47: 2 512/33 4746.727 cents 33rd subharmonic +3 octaves 47: 1 1024/65 4773.159 cents Highest number of different intervals for one interval class: 12 Average number of different intervals per interval class: 10.78723 = 507/47
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 0.0 : 84.5 203.9 315.6 386.3 498.0 582.5 702.0 813.7 884.4 968.8 1088.3 1200.0 1284.5 1403.9 1515.6 1586.3 1698.0 1782.5 1902.0 2013.7 2084.4 2168.8 2288.3 2400.0 2453.3 2603.9 2715.6 2786.3 2870.8 2951.3 3102.0 3213.7 3240.5 3368.8 3488.3 3600.0 3684.5 3803.9 3866.9 3986.3 4098.0 4151.3 4302.0 4413.7 4505.9 4568.8 4688.3 4800.0 84.5 : 119.4 231.2 301.8 413.6 498.0 617.5 729.2 799.9 884.4 1003.8 1115.5 1200.0 1319.4 1431.2 1501.8 1613.6 1698.0 1817.5 1929.2 1999.9 2084.4 2203.8 2315.5 2368.8 2519.4 2631.2 2701.8 2786.3 2866.9 3017.5 3129.2 3156.1 3284.4 3403.8 3515.5 3600.0 3719.4 3782.4 3901.8 4013.6 4066.9 4217.5 4329.2 4421.4 4484.4 4603.8 4715.5 4800.0 203.9 : 111.7 182.4 294.1 378.6 498.0 609.8 680.4 764.9 884.4 996.1 1080.6 1200.0 1311.7 1382.4 1494.1 1578.6 1698.0 1809.8 1880.4 1964.9 2084.4 2196.1 2249.4 2400.0 2511.7 2582.4 2666.9 2747.4 2898.0 3009.8 3036.6 3164.9 3284.4 3396.1 3480.6 3600.0 3663.0 3782.4 3894.1 3947.4 4098.0 4209.8 4302.0 4364.9 4484.4 4596.1 4680.6 4800.0 315.6 : 70.7 182.4 266.9 386.3 498.0 568.7 653.2 772.6 884.4 968.8 1088.3 1200.0 1270.7 1382.4 1466.9 1586.3 1698.0 1768.7 1853.2 1972.6 2084.4 2137.6 2288.3 2400.0 2470.7 2555.1 2635.7 2786.3 2898.0 2924.9 3053.2 3172.6 3284.4 3368.8 3488.3 3551.2 3670.7 3782.4 3835.7 3986.3 4098.0 4190.2 4253.2 4372.6 4484.4 4568.8 4688.3 4800.0 386.3 : 111.7 196.2 315.6 427.4 498.0 582.5 702.0 813.7 898.2 1017.6 1129.3 1200.0 1311.7 1396.2 1515.6 1627.4 1698.0 1782.5 1902.0 2013.7 2067.0 2217.6 2329.3 2400.0 2484.5 2565.0 2715.6 2827.4 2854.2 2982.5 3102.0 3213.7 3298.2 3417.6 3480.6 3600.0 3711.7 3765.0 3915.6 4027.4 4119.6 4182.5 4302.0 4413.7 4498.2 4617.6 4729.3 4800.0 498.0 : 84.5 203.9 315.6 386.3 470.8 590.2 702.0 786.4 905.9 1017.6 1088.3 1200.0 1284.5 1403.9 1515.6 1586.3 1670.8 1790.2 1902.0 1955.2 2105.9 2217.6 2288.3 2372.7 2453.3 2603.9 2715.6 2742.5 2870.8 2990.2 3102.0 3186.4 3305.9 3368.8 3488.3 3600.0 3653.3 3803.9 3915.6 4007.8 4070.8 4190.2 4302.0 4386.4 4505.9 4617.6 4688.3 4800.0 582.5 : 119.4 231.2 301.8 386.3 505.8 617.5 702.0 821.4 933.1 1003.8 1115.5 1200.0 1319.4 1431.2 1501.8 1586.3 1705.8 1817.5 1870.8 2021.4 2133.1 2203.8 2288.3 2368.8 2519.4 2631.2 2658.0 2786.3 2905.8 3017.5 3102.0 3221.4 3284.4 3403.8 3515.5 3568.8 3719.4 3831.2 3923.4 3986.3 4105.8 4217.5 4302.0 4421.4 4533.1 4603.8 4715.5 4800.0 702.0 : 111.7 182.4 266.9 386.3 498.0 582.5 702.0 813.7 884.4 996.1 1080.6 1200.0 1311.7 1382.4 1466.9 1586.3 1698.0 1751.3 1902.0 2013.7 2084.4 2168.8 2249.4 2400.0 2511.7 2538.6 2666.9 2786.3 2898.0 2982.5 3102.0 3164.9 3284.4 3396.1 3449.4 3600.0 3711.7 3803.9 3866.9 3986.3 4098.0 4182.5 4302.0 4413.7 4484.4 4596.1 4680.6 4800.0 813.7 : 70.7 155.1 274.6 386.3 470.8 590.2 702.0 772.6 884.4 968.8 1088.3 1200.0 1270.7 1355.1 1474.6 1586.3 1639.6 1790.2 1902.0 1972.6 2057.1 2137.6 2288.3 2400.0 2426.8 2555.1 2674.6 2786.3 2870.8 2990.2 3053.2 3172.6 3284.4 3337.6 3488.3 3600.0 3692.2 3755.1 3874.6 3986.3 4070.8 4190.2 4302.0 4372.6 4484.4 4568.8 4688.3 4800.0 884.4 : 84.5 203.9 315.6 400.1 519.6 631.3 702.0 813.7 898.2 1017.6 1129.3 1200.0 1284.5 1403.9 1515.6 1568.9 1719.6 1831.3 1902.0 1986.4 2067.0 2217.6 2329.3 2356.2 2484.5 2603.9 2715.6 2800.1 2919.6 2982.5 3102.0 3213.7 3267.0 3417.6 3529.3 3621.5 3684.5 3803.9 3915.6 4000.1 4119.6 4231.3 4302.0 4413.7 4498.2 4617.6 4729.3 4800.0 968.8 : 119.4 231.2 315.6 435.1 546.8 617.5 729.2 813.7 933.1 1044.9 1115.5 1200.0 1319.4 1431.2 1484.4 1635.1 1746.8 1817.5 1902.0 1982.5 2133.1 2244.9 2271.7 2400.0 2519.4 2631.2 2715.6 2835.1 2898.0 3017.5 3129.2 3182.5 3333.1 3444.9 3537.0 3600.0 3719.4 3831.2 3915.6 4035.1 4146.8 4217.5 4329.2 4413.7 4533.1 4644.9 4715.5 4800.0 1088.3: 111.7 196.2 315.6 427.4 498.0 609.8 694.2 813.7 925.4 996.1 1080.6 1200.0 1311.7 1365.0 1515.6 1627.4 1698.0 1782.5 1863.0 2013.7 2125.4 2152.3 2280.6 2400.0 2511.7 2596.2 2715.6 2778.6 2898.0 3009.8 3063.0 3213.7 3325.4 3417.6 3480.6 3600.0 3711.7 3796.2 3915.6 4027.4 4098.0 4209.8 4294.2 4413.7 4525.4 4596.1 4680.6 4800.0 1200.0: 84.5 203.9 315.6 386.3 498.0 582.5 702.0 813.7 884.4 968.8 1088.3 1200.0 1253.3 1403.9 1515.6 1586.3 1670.8 1751.3 1902.0 2013.7 2040.5 2168.8 2288.3 2400.0 2484.5 2603.9 2666.9 2786.3 2898.0 2951.3 3102.0 3213.7 3305.9 3368.8 3488.3 3600.0 3684.5 3803.9 3915.6 3986.3 4098.0 4182.5 4302.0 4413.7 4484.4 4568.8 4688.3 4800.0 1284.5: 119.4 231.2 301.8 413.6 498.0 617.5 729.2 799.9 884.4 1003.8 1115.5 1168.8 1319.4 1431.2 1501.8 1586.3 1666.9 1817.5 1929.2 1956.1 2084.4 2203.8 2315.5 2400.0 2519.4 2582.4 2701.8 2813.6 2866.9 3017.5 3129.2 3221.4 3284.4 3403.8 3515.5 3600.0 3719.4 3831.2 3901.8 4013.6 4098.0 4217.5 4329.2 4399.9 4484.4 4603.8 4715.5 4800.0 1403.9: 111.7 182.4 294.1 378.6 498.0 609.8 680.4 764.9 884.4 996.1 1049.4 1200.0 1311.7 1382.4 1466.9 1547.4 1698.0 1809.8 1836.6 1964.9 2084.4 2196.1 2280.6 2400.0 2463.0 2582.4 2694.1 2747.4 2898.0 3009.8 3102.0 3164.9 3284.4 3396.1 3480.6 3600.0 3711.7 3782.4 3894.1 3978.6 4098.0 4209.8 4280.4 4364.9 4484.4 4596.1 4680.6 4800.0 1515.6: 70.7 182.4 266.9 386.3 498.0 568.7 653.2 772.6 884.4 937.6 1088.3 1200.0 1270.7 1355.1 1435.7 1586.3 1698.0 1724.9 1853.2 1972.6 2084.4 2168.8 2288.3 2351.2 2470.7 2582.4 2635.7 2786.3 2898.0 2990.2 3053.2 3172.6 3284.4 3368.8 3488.3 3600.0 3670.7 3782.4 3866.9 3986.3 4098.0 4168.7 4253.2 4372.6 4484.4 4568.8 4688.3 4800.0 1586.3: 111.7 196.2 315.6 427.4 498.0 582.5 702.0 813.7 867.0 1017.6 1129.3 1200.0 1284.5 1365.0 1515.6 1627.4 1654.2 1782.5 1902.0 2013.7 2098.2 2217.6 2280.6 2400.0 2511.7 2565.0 2715.6 2827.4 2919.6 2982.5 3102.0 3213.7 3298.2 3417.6 3529.3 3600.0 3711.7 3796.2 3915.6 4027.4 4098.0 4182.5 4302.0 4413.7 4498.2 4617.6 4729.3 4800.0 1698.0: 84.5 203.9 315.6 386.3 470.8 590.2 702.0 755.2 905.9 1017.6 1088.3 1172.7 1253.3 1403.9 1515.6 1542.5 1670.8 1790.2 1902.0 1986.4 2105.9 2168.8 2288.3 2400.0 2453.3 2603.9 2715.6 2807.8 2870.8 2990.2 3102.0 3186.4 3305.9 3417.6 3488.3 3600.0 3684.5 3803.9 3915.6 3986.3 4070.8 4190.2 4302.0 4386.4 4505.9 4617.6 4688.3 4800.0 1782.5: 119.4 231.2 301.8 386.3 505.8 617.5 670.8 821.4 933.1 1003.8 1088.3 1168.8 1319.4 1431.2 1458.0 1586.3 1705.8 1817.5 1902.0 2021.4 2084.4 2203.8 2315.5 2368.8 2519.4 2631.2 2723.4 2786.3 2905.8 3017.5 3102.0 3221.4 3333.1 3403.8 3515.5 3600.0 3719.4 3831.2 3901.8 3986.3 4105.8 4217.5 4302.0 4421.4 4533.1 4603.8 4715.5 4800.0 1902.0: 111.7 182.4 266.9 386.3 498.0 551.3 702.0 813.7 884.4 968.8 1049.4 1200.0 1311.7 1338.6 1466.9 1586.3 1698.0 1782.5 1902.0 1964.9 2084.4 2196.1 2249.4 2400.0 2511.7 2603.9 2666.9 2786.3 2898.0 2982.5 3102.0 3213.7 3284.4 3396.1 3480.6 3600.0 3711.7 3782.4 3866.9 3986.3 4098.0 4182.5 4302.0 4413.7 4484.4 4596.1 4680.6 4800.0 2013.7: 70.7 155.1 274.6 386.3 439.6 590.2 702.0 772.6 857.1 937.6 1088.3 1200.0 1226.8 1355.1 1474.6 1586.3 1670.8 1790.2 1853.2 1972.6 2084.4 2137.6 2288.3 2400.0 2492.2 2555.1 2674.6 2786.3 2870.8 2990.2 3102.0 3172.6 3284.4 3368.8 3488.3 3600.0 3670.7 3755.1 3874.6 3986.3 4070.8 4190.2 4302.0 4372.6 4484.4 4568.8 4688.3 4800.0 2084.4: 84.5 203.9 315.6 368.9 519.6 631.3 702.0 786.4 867.0 1017.6 1129.3 1156.2 1284.5 1403.9 1515.6 1600.1 1719.6 1782.5 1902.0 2013.7 2067.0 2217.6 2329.3 2421.5 2484.5 2603.9 2715.6 2800.1 2919.6 3031.3 3102.0 3213.7 3298.2 3417.6 3529.3 3600.0 3684.5 3803.9 3915.6 4000.1 4119.6 4231.3 4302.0 4413.7 4498.2 4617.6 4729.3 4800.0 2168.8: 119.4 231.2 284.4 435.1 546.8 617.5 702.0 782.5 933.1 1044.9 1071.7 1200.0 1319.4 1431.2 1515.6 1635.1 1698.0 1817.5 1929.2 1982.5 2133.1 2244.9 2337.0 2400.0 2519.4 2631.2 2715.6 2835.1 2946.8 3017.5 3129.2 3213.7 3333.1 3444.9 3515.5 3600.0 3719.4 3831.2 3915.6 4035.1 4146.8 4217.5 4329.2 4413.7 4533.1 4644.9 4715.5 4800.0 2288.3: 111.7 165.0 315.6 427.4 498.0 582.5 663.0 813.7 925.4 952.3 1080.6 1200.0 1311.7 1396.2 1515.6 1578.6 1698.0 1809.8 1863.0 2013.7 2125.4 2217.6 2280.6 2400.0 2511.7 2596.2 2715.6 2827.4 2898.0 3009.8 3094.2 3213.7 3325.4 3396.1 3480.6 3600.0 3711.7 3796.2 3915.6 4027.4 4098.0 4209.8 4294.2 4413.7 4525.4 4596.1 4680.6 4800.0 2400.0: 53.3 203.9 315.6 386.3 470.8 551.3 702.0 813.7 840.5 968.8 1088.3 1200.0 1284.5 1403.9 1466.9 1586.3 1698.0 1751.3 1902.0 2013.7 2105.9 2168.8 2288.3 2400.0 2484.5 2603.9 2715.6 2786.3 2898.0 2982.5 3102.0 3213.7 3284.4 3368.8 3488.3 3600.0 3684.5 3803.9 3915.6 3986.3 4098.0 4182.5 4302.0 4413.7 4484.4 4568.8 4688.3 4800.0 2453.3: 150.6 262.4 333.0 417.5 498.0 648.7 760.4 787.3 915.6 1035.0 1146.7 1231.2 1350.6 1413.6 1533.0 1644.8 1698.0 1848.7 1960.4 2052.6 2115.6 2235.0 2346.7 2431.2 2550.6 2662.4 2733.0 2844.8 2929.2 3048.7 3160.4 3231.1 3315.6 3435.0 3546.7 3631.2 3750.6 3862.4 3933.0 4044.8 4129.2 4248.7 4360.4 4431.1 4515.6 4635.0 4746.7 4800.0 2603.9: 111.7 182.4 266.9 347.4 498.0 609.8 636.6 764.9 884.4 996.1 1080.6 1200.0 1263.0 1382.4 1494.1 1547.4 1698.0 1809.8 1902.0 1964.9 2084.4 2196.1 2280.6 2400.0 2511.7 2582.4 2694.1 2778.6 2898.0 3009.8 3080.4 3164.9 3284.4 3396.1 3480.6 3600.0 3711.7 3782.4 3894.1 3978.6 4098.0 4209.8 4280.4 4364.9 4484.4 4596.1 4649.4 4800.0 2715.6: 70.7 155.1 235.7 386.3 498.0 524.9 653.2 772.6 884.4 968.8 1088.3 1151.2 1270.7 1382.4 1435.7 1586.3 1698.0 1790.2 1853.2 1972.6 2084.4 2168.8 2288.3 2400.0 2470.7 2582.4 2666.9 2786.3 2898.0 2968.7 3053.2 3172.6 3284.4 3368.8 3488.3 3600.0 3670.7 3782.4 3866.9 3986.3 4098.0 4168.7 4253.2 4372.6 4484.4 4537.6 4688.3 4800.0 2786.3: 84.5 165.0 315.6 427.4 454.2 582.5 702.0 813.7 898.2 1017.6 1080.6 1200.0 1311.7 1365.0 1515.6 1627.4 1719.6 1782.5 1902.0 2013.7 2098.2 2217.6 2329.3 2400.0 2511.7 2596.2 2715.6 2827.4 2898.0 2982.5 3102.0 3213.7 3298.2 3417.6 3529.3 3600.0 3711.7 3796.2 3915.6 4027.4 4098.0 4182.5 4302.0 4413.7 4467.0 4617.6 4729.3 4800.0 2870.8: 80.5 231.2 342.9 369.7 498.0 617.5 729.2 813.7 933.1 996.1 1115.5 1227.3 1280.5 1431.2 1542.9 1635.1 1698.0 1817.5 1929.2 2013.7 2133.1 2244.9 2315.5 2427.3 2511.7 2631.2 2742.9 2813.6 2898.0 3017.5 3129.2 3213.7 3333.1 3444.9 3515.5 3627.3 3711.7 3831.2 3942.9 4013.6 4098.0 4217.5 4329.2 4382.5 4533.1 4644.9 4715.5 4800.0 2951.3: 150.6 262.4 289.2 417.5 537.0 648.7 733.1 852.6 915.6 1035.0 1146.7 1200.0 1350.6 1462.4 1554.5 1617.5 1737.0 1848.7 1933.1 2052.6 2164.3 2235.0 2346.7 2431.2 2550.6 2662.4 2733.0 2817.5 2937.0 3048.7 3133.1 3252.6 3364.3 3435.0 3546.7 3631.2 3750.6 3862.4 3933.0 4017.5 4137.0 4248.7 4302.0 4452.6 4564.3 4635.0 4719.5 4800.0 3102.0: 111.7 138.6 266.9 386.3 498.0 582.5 702.0 764.9 884.4 996.1 1049.4 1200.0 1311.7 1403.9 1466.9 1586.3 1698.0 1782.5 1902.0 2013.7 2084.4 2196.1 2280.6 2400.0 2511.7 2582.4 2666.9 2786.3 2898.0 2982.5 3102.0 3213.7 3284.4 3396.1 3480.6 3600.0 3711.7 3782.4 3866.9 3986.3 4098.0 4151.3 4302.0 4413.7 4484.4 4568.8 4649.4 4800.0 3213.7: 26.8 155.1 274.6 386.3 470.8 590.2 653.2 772.6 884.4 937.6 1088.3 1200.0 1292.2 1355.1 1474.6 1586.3 1670.8 1790.2 1902.0 1972.6 2084.4 2168.8 2288.3 2400.0 2470.7 2555.1 2674.6 2786.3 2870.8 2990.2 3102.0 3172.6 3284.4 3368.8 3488.3 3600.0 3670.7 3755.1 3874.6 3986.3 4039.6 4190.2 4302.0 4372.6 4457.1 4537.6 4688.3 4800.0 3240.5: 128.3 247.7 359.5 443.9 563.4 626.3 745.8 857.5 910.8 1061.4 1173.2 1265.3 1328.3 1447.7 1559.5 1643.9 1763.4 1875.1 1945.8 2057.5 2142.0 2261.4 2373.2 2443.8 2528.3 2647.7 2759.5 2843.9 2963.4 3075.1 3145.8 3257.5 3342.0 3461.4 3573.2 3643.8 3728.3 3847.7 3959.5 4012.7 4163.4 4275.1 4345.8 4430.3 4510.8 4661.4 4773.2 4800.0 3368.8: 119.4 231.2 315.6 435.1 498.0 617.5 729.2 782.5 933.1 1044.9 1137.0 1200.0 1319.4 1431.2 1515.6 1635.1 1746.8 1817.5 1929.2 2013.7 2133.1 2244.9 2315.5 2400.0 2519.4 2631.2 2715.6 2835.1 2946.8 3017.5 3129.2 3213.7 3333.1 3444.9 3515.5 3600.0 3719.4 3831.2 3884.4 4035.1 4146.8 4217.5 4302.0 4382.5 4533.1 4644.9 4671.7 4800.0 3488.3: 111.7 196.2 315.6 378.6 498.0 609.8 663.0 813.7 925.4 1017.6 1080.6 1200.0 1311.7 1396.2 1515.6 1627.4 1698.0 1809.8 1894.2 2013.7 2125.4 2196.1 2280.6 2400.0 2511.7 2596.2 2715.6 2827.4 2898.0 3009.8 3094.2 3213.7 3325.4 3396.1 3480.6 3600.0 3711.7 3765.0 3915.6 4027.4 4098.0 4182.5 4263.0 4413.7 4525.4 4552.3 4680.6 4800.0 3600.0: 84.5 203.9 266.9 386.3 498.0 551.3 702.0 813.7 905.9 968.8 1088.3 1200.0 1284.5 1403.9 1515.6 1586.3 1698.0 1782.5 1902.0 2013.7 2084.4 2168.8 2288.3 2400.0 2484.5 2603.9 2715.6 2786.3 2898.0 2982.5 3102.0 3213.7 3284.4 3368.8 3488.3 3600.0 3653.3 3803.9 3915.6 3986.3 4070.8 4151.3 4302.0 4413.7 4440.5 4568.8 4688.3 4800.0 3684.5: 119.4 182.4 301.8 413.6 466.9 617.5 729.2 821.4 884.4 1003.8 1115.5 1200.0 1319.4 1431.2 1501.8 1613.6 1698.0 1817.5 1929.2 1999.9 2084.4 2203.8 2315.5 2400.0 2519.4 2631.2 2701.8 2813.6 2898.0 3017.5 3129.2 3199.9 3284.4 3403.8 3515.5 3568.8 3719.4 3831.2 3901.8 3986.3 4066.9 4217.5 4329.2 4356.1 4484.4 4603.8 4715.5 4800.0 3803.9: 63.0 182.4 294.1 347.4 498.0 609.8 702.0 764.9 884.4 996.1 1080.6 1200.0 1311.7 1382.4 1494.1 1578.6 1698.0 1809.8 1880.4 1964.9 2084.4 2196.1 2280.6 2400.0 2511.7 2582.4 2694.1 2778.6 2898.0 3009.8 3080.4 3164.9 3284.4 3396.1 3449.4 3600.0 3711.7 3782.4 3866.9 3947.4 4098.0 4209.8 4236.6 4364.9 4484.4 4596.1 4680.6 4800.0 3866.9: 119.4 231.2 284.4 435.1 546.8 639.0 702.0 821.4 933.1 1017.6 1137.0 1248.8 1319.4 1431.2 1515.6 1635.1 1746.8 1817.5 1902.0 2021.4 2133.1 2217.6 2337.0 2448.8 2519.4 2631.2 2715.6 2835.1 2946.8 3017.5 3102.0 3221.4 3333.1 3386.4 3537.0 3648.8 3719.4 3803.9 3884.4 4035.1 4146.8 4173.7 4302.0 4421.4 4533.1 4617.6 4737.0 4800.0 3986.3: 111.7 165.0 315.6 427.4 519.6 582.5 702.0 813.7 898.2 1017.6 1129.3 1200.0 1311.7 1396.2 1515.6 1627.4 1698.0 1782.5 1902.0 2013.7 2098.2 2217.6 2329.3 2400.0 2511.7 2596.2 2715.6 2827.4 2898.0 2982.5 3102.0 3213.7 3267.0 3417.6 3529.3 3600.0 3684.5 3765.0 3915.6 4027.4 4054.2 4182.5 4302.0 4413.7 4498.2 4617.6 4680.6 4800.0 4098.0: 53.3 203.9 315.6 407.8 470.8 590.2 702.0 786.4 905.9 1017.6 1088.3 1200.0 1284.5 1403.9 1515.6 1586.3 1670.8 1790.2 1902.0 1986.4 2105.9 2217.6 2288.3 2400.0 2484.5 2603.9 2715.6 2786.3 2870.8 2990.2 3102.0 3155.2 3305.9 3417.6 3488.3 3572.7 3653.3 3803.9 3915.6 3942.5 4070.8 4190.2 4302.0 4386.4 4505.9 4568.8 4688.3 4800.0 4151.3: 150.6 262.4 354.5 417.5 537.0 648.7 733.1 852.6 964.3 1035.0 1146.7 1231.2 1350.6 1462.4 1533.0 1617.5 1737.0 1848.7 1933.1 2052.6 2164.3 2235.0 2346.7 2431.2 2550.6 2662.4 2733.0 2817.5 2937.0 3048.7 3102.0 3252.6 3364.3 3435.0 3519.5 3600.0 3750.6 3862.4 3889.2 4017.5 4137.0 4248.7 4333.1 4452.6 4515.6 4635.0 4746.7 4800.0 4302.0: 111.7 203.9 266.9 386.3 498.0 582.5 702.0 813.7 884.4 996.1 1080.6 1200.0 1311.7 1382.4 1466.9 1586.3 1698.0 1782.5 1902.0 2013.7 2084.4 2196.1 2280.6 2400.0 2511.7 2582.4 2666.9 2786.3 2898.0 2951.3 3102.0 3213.7 3284.4 3368.8 3449.4 3600.0 3711.7 3738.6 3866.9 3986.3 4098.0 4182.5 4302.0 4364.9 4484.4 4596.1 4649.4 4800.0 4413.7: 92.2 155.1 274.6 386.3 470.8 590.2 702.0 772.6 884.4 968.8 1088.3 1200.0 1270.7 1355.1 1474.6 1586.3 1670.8 1790.2 1902.0 1972.6 2084.4 2168.8 2288.3 2400.0 2470.7 2555.1 2674.6 2786.3 2839.6 2990.2 3102.0 3172.6 3257.1 3337.6 3488.3 3600.0 3626.8 3755.1 3874.6 3986.3 4070.8 4190.2 4253.2 4372.6 4484.4 4537.6 4688.3 4800.0 4505.9: 63.0 182.4 294.1 378.6 498.0 609.8 680.4 792.2 876.6 996.1 1107.8 1178.5 1263.0 1382.4 1494.1 1578.6 1698.0 1809.8 1880.4 1992.2 2076.6 2196.1 2307.8 2378.5 2463.0 2582.4 2694.1 2747.4 2898.0 3009.8 3080.4 3164.9 3245.5 3396.1 3507.8 3534.7 3663.0 3782.4 3894.1 3978.6 4098.0 4161.0 4280.4 4392.2 4445.5 4596.1 4707.8 4800.0 4568.8: 119.4 231.2 315.6 435.1 546.8 617.5 729.2 813.7 933.1 1044.9 1115.5 1200.0 1319.4 1431.2 1515.6 1635.1 1746.8 1817.5 1929.2 2013.7 2133.1 2244.9 2315.5 2400.0 2519.4 2631.2 2684.4 2835.1 2946.8 3017.5 3102.0 3182.5 3333.1 3444.9 3471.7 3600.0 3719.4 3831.2 3915.6 4035.1 4098.0 4217.5 4329.2 4382.5 4533.1 4644.9 4737.0 4800.0 4688.3: 111.7 196.2 315.6 427.4 498.0 609.8 694.2 813.7 925.4 996.1 1080.6 1200.0 1311.7 1396.2 1515.6 1627.4 1698.0 1809.8 1894.2 2013.7 2125.4 2196.1 2280.6 2400.0 2511.7 2565.0 2715.6 2827.4 2898.0 2982.5 3063.0 3213.7 3325.4 3352.3 3480.6 3600.0 3711.7 3796.2 3915.6 3978.6 4098.0 4209.8 4263.0 4413.7 4525.4 4617.6 4680.6 4800.0 4800.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 26.8414 .. 150.6371 cents 768/715, 123.7957 cents 65/64, 26.8414 cents 2: 138.5727 .. 262.3683 cents 768/715, 123.7957 cents 143/144,-12.0644 cents 3: 235.6767 .. 359.4723 cents 768/715, 123.7957 cents 3025/3072,-26.6917 cents 4: 347.4079 .. 443.9395 cents 756/715, 96.5316 cents 143/144,-12.0644 cents 5: 439.5867 .. 563.3823 cents 768/715, 123.7957 cents 3575/3584,-4.3529 cents 6: 524.8864 .. 648.6821 cents 768/715, 123.7957 cents 845/864,-38.4960 cents 7: 636.6177 .. 760.4133 cents 768/715, 123.7957 cents 143/144,-12.0644 cents 8: 755.2279 .. 857.5173 cents 4096/3861, 102.2894 cents 16335/16384,-5.1854 cents 9: 840.5277 .. 964.3233 cents 768/715, 123.7957 cents 507/512,-16.9897 cents 10: 937.6317 .. 1061.4273 cents 768/715, 123.7957 cents 3025/3072,-26.6917 cents 11: 1049.3629 .. 1173.1586 cents 768/715, 123.7957 cents 143/144,-12.0644 cents 12: 1151.2296 .. 1265.3373 cents 486/455, 114.1077 cents 2275/2304,-21.9290 cents 13: 1226.8414 .. 1350.6371 cents 768/715, 123.7957 cents 845/864,-38.4960 cents 14: 1338.5727 .. 1462.3683 cents 768/715, 123.7957 cents 143/144,-12.0644 cents 15: 1435.6767 .. 1559.4723 cents 768/715, 123.7957 cents 3025/3072,-26.6917 cents 16: 1542.4827 .. 1644.7721 cents 4096/3861, 102.2894 cents 507/512,-16.9897 cents 17: 1639.5867 .. 1763.3823 cents 768/715, 123.7957 cents 16335/16384,-5.1854 cents 18: 1724.8864 .. 1875.1136 cents 4608/4225, 150.2273 cents 845/864,-38.4960 cents 19: 1836.6177 .. 1960.4133 cents 768/715, 123.7957 cents 845/864,-38.4960 cents 20: 1955.2279 .. 2057.5173 cents 4096/3861, 102.2894 cents 16335/16384,-5.1854 cents 21: 2040.5277 .. 2164.3233 cents 768/715, 123.7957 cents 507/512,-16.9897 cents 22: 2137.6317 .. 2261.4273 cents 768/715, 123.7957 cents 3025/3072,-26.6917 cents 23: 2249.3629 .. 2373.1586 cents 768/715, 123.7957 cents 143/144,-12.0644 cents 24: 2351.2296 .. 2448.7704 cents 1296/1225, 97.5408 cents 2275/2304,-21.9290 cents 25: 2426.8414 .. 2550.6371 cents 768/715, 123.7957 cents 2275/2304,-21.9290 cents 26: 2538.5727 .. 2662.3683 cents 768/715, 123.7957 cents 143/144,-12.0644 cents 27: 2635.6767 .. 2759.4723 cents 768/715, 123.7957 cents 3025/3072,-26.6917 cents 28: 2742.4827 .. 2844.7721 cents 4096/3861, 102.2894 cents 507/512,-16.9897 cents 29: 2839.5867 .. 2963.3823 cents 768/715, 123.7957 cents 16335/16384,-5.1854 cents 30: 2924.8864 .. 3075.1136 cents 4608/4225, 150.2273 cents 845/864,-38.4960 cents 31: 3036.6177 .. 3160.4133 cents 768/715, 123.7957 cents 845/864,-38.4960 cents 32: 3155.2279 .. 3257.5173 cents 4096/3861, 102.2894 cents 16335/16384,-5.1854 cents 33: 3240.5277 .. 3364.3233 cents 768/715, 123.7957 cents 507/512,-16.9897 cents 34: 3337.6317 .. 3461.4273 cents 768/715, 123.7957 cents 3025/3072,-26.6917 cents 35: 3449.3629 .. 3573.1586 cents 768/715, 123.7957 cents 143/144,-12.0644 cents 36: 3534.6627 .. 3648.7704 cents 486/455, 114.1077 cents 845/864,-38.4960 cents 37: 3626.8414 .. 3750.6371 cents 768/715, 123.7957 cents 2275/2304,-21.9290 cents 38: 3738.5727 .. 3862.3683 cents 768/715, 123.7957 cents 143/144,-12.0644 cents 39: 3835.6767 .. 3959.4723 cents 768/715, 123.7957 cents 3025/3072,-26.6917 cents 40: 3942.4827 .. 4044.7721 cents 4096/3861, 102.2894 cents 507/512,-16.9897 cents 41: 4039.5867 .. 4163.3823 cents 768/715, 123.7957 cents 16335/16384,-5.1854 cents 42: 4151.3179 .. 4275.1136 cents 768/715, 123.7957 cents 143/144,-12.0644 cents 43: 4236.6177 .. 4360.4133 cents 768/715, 123.7957 cents 845/864,-38.4960 cents 44: 4356.0605 .. 4452.5921 cents 756/715, 96.5316 cents 3575/3584,-4.3529 cents 45: 4440.5277 .. 4564.3233 cents 768/715, 123.7957 cents 143/144,-12.0644 cents 46: 4537.6317 .. 4661.4273 cents 768/715, 123.7957 cents 3025/3072,-26.6917 cents 47: 4649.3629 .. 4773.1586 cents 768/715, 123.7957 cents 143/144,-12.0644 cents
SHOW DATA
Number of notes : 48 -- Interval properties -- Smallest interval : 65/64, 26.8414 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 12/11, 150.6371 cents Average / Smallest step : 3.725591 Largest / Average step : 1.506371 Largest / Smallest step : 5.612121 Median interval of one step : 16/15, 111.7313 cents, amount: 14 Most common interval of one step : 16/15, 111.7313 cents, amount: 14 Least squares average step : 99.63873 cents, oct.: 4782.65919 cents Scale is not proper Step pattern alph. order: ABCDCABCDABCABCDCABCDABCEFCDAGFCHIBCABJBCEFCKJBC Step pattern size order : FIHDHFIHDFIHFIHDHFIHDFIHBKHDFEKHAJIHFICIHBKHGCIH Scale is a Constant Structure, by a margin of 0.42272 cents Scale diversity :-0.568620 Lumma stability : 0.011184 Lumma impropriety factor : 0.186614 Number of different interval sizes : 507 = 10.78723 / class Number of one step interval sizes : 11 Highest interval variety : 12 Mean interval variety : 10.78723 = 507/47 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 4096/4095, 0.4227 cents Most common intervals : 2/1, 1200.0000 cents & inv., amount: 37 Most common triad is 0.0 1200.000 3600.000 cents, amount: 31 Number of recognisable fifths : 26, average 701.3618 cents Number of recognisable fourths : 28, average 498.5958 cents Scale contains two identical disjunct hexachords Scale contains a complete diamond : 1 3 5 Length of longest harmonic part : 3 at degree 33 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 20 = 41.6667% 2/1 octave complements present : 7 = 14.5833% Scale is n-1 differentially coherent in interval class 1 Scale is n-1 differentially coherent in interval classes 3 and 4 combined -- Rational properties -- Prime limit : 13 Odd number limit : 165 (O: 165 U: 165) Highest odd numerator or denominator: 33 Scale harmonicity : 0.012035 Average absolute harmonicity : 0.149522 Specific harmonicity : 0.125797 Fundamental : 1/120, -6.9069 octaves, 2.1802 Hz. Guide tone : 8648640, 23.0440 octaves, 2262705329.085 Hz. Exponens Consonantiae : 1.037837E+09, 29.95093 octaves Euler's gradus suavitatis : 54 Sum of Mann's harmonic distance : 426.0, average 8.87500 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 38.29896, average 0.79790 Sum of Tenney's harmonic distance : 69.94306, average 1.45715 Vogel's harmonic complexity : 15.16667 Wille's k value : 247 Wilson's harmonic complexity : 53 Rectangular lattice diameter : 9 Triangular lattice diameter : 4 Lattice compactness : 3716.32709, average 3.16014 Lattice compactness (without 2's) : 1878.78239, average 1.59760 Number of different primes : 6 Prime exponents' range, average, count, tones@limit: 2: -3 .. 6 0.50000 84 4 3: -1 .. 3 0.43750 33 12 5: -1 .. 1 -0.04167 22 17 7: 0 .. 1 0.22917 11 11 11: 0 .. 1 0.06250 3 3 13: 0 .. 1 0.02083 1 1 Average exponent except 2's : 34 / 48 = 0.70833 Average absolute exponent except 2's: 70 / 48 = 1.45833
FIT/MODE
48: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 N T3 SD: 19.9658 c. M:-48.6821 c. 55: 1 1 2 0 2 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 2 0 2 1 1 1 1 2 1 0 2 1 1 1 2 0 2 1 1 1 2 1 0 2 1 N D3 SD: 24.7885 c. M:-43.6364 c. 57: 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 0 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 0 2 1 2 0 2 1 N D3 SD: 23.4419 c. M:-43.6829 c. 59: 1 2 1 1 1 1 2 1 1 1 1 2 1 1 2 1 1 1 1 2 1 1 1 2 0 2 1 1 1 1 2 2 0 1 2 1 1 2 1 1 1 1 2 1 1 1 2 1 N SD: 22.9075 c. M:-40.8049 c. 60: 1 2 1 1 1 1 2 1 1 1 2 1 1 2 1 1 1 1 2 1 1 1 2 1 1 2 1 1 1 1 2 1 1 1 2 1 1 2 0 2 1 1 2 1 1 1 2 1 N D3 SD: 19.5760 c. M:-39.4723 c. 64: 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 1 1 2 2 0 2 2 1 1 2 1 1 2 0 2 2 1 1 2 1 N T3 SD: 20.0023 c. M:-36.7313 c. 67: 1 2 1 1 2 1 2 1 1 1 2 2 1 2 1 1 2 1 2 1 1 1 2 1 1 2 2 1 1 1 2 2 0 2 2 1 1 2 1 2 1 1 2 2 1 1 1 2 N SD: 18.6855 c. M: 37.4826 c. 68: 1 2 1 1 2 1 2 2 1 1 1 2 1 2 1 1 2 1 2 2 1 1 1 2 1 2 1 1 2 1 2 2 0 2 1 2 1 2 1 1 2 1 2 2 1 1 1 2 N D3 SD: 21.7065 c. M: 33.3725 c. 74: 1 2 2 1 2 1 2 1 2 1 2 1 2 2 1 1 2 1 2 2 1 1 2 2 1 2 2 1 1 1 3 1 1 2 2 1 2 2 1 1 2 1 2 2 1 1 2 2 N SD: 19.4772 c. M: 35.3079 c. 76: 1 2 2 1 2 1 2 2 1 1 2 2 1 2 2 1 2 1 2 2 1 1 2 2 1 2 2 1 1 2 2 2 0 2 2 2 1 2 1 2 2 1 2 2 1 1 2 2 N SD: 13.4168 c. M: 28.6756 c. 88: 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 1 3 2 1 2 1 3 2 1 2 2 2 2 2 1 2 2 1 3 2 2 1 2 2 N SD: 12.2031 c. M:-32.1996 c. 90: 2 2 2 1 2 2 2 2 2 1 2 3 1 2 2 2 2 1 3 2 1 2 2 2 1 3 2 1 2 1 3 2 1 2 2 3 1 2 2 2 2 1 3 2 2 1 2 2 N SD: 15.0558 c. M:-27.4683 c. 96: 2 2 2 2 2 2 2 2 2 1 3 2 2 2 2 2 2 2 2 2 2 1 3 2 1 3 2 2 1 2 3 2 1 2 3 2 2 2 1 3 2 1 3 2 2 1 3 2 P T3 SD: 12.0486 c. M: 20.7809 c. 104: 2 2 3 1 3 2 2 3 1 2 3 2 2 2 3 1 3 2 2 3 1 2 3 2 1 3 3 1 2 2 3 3 0 3 3 2 2 2 2 2 3 1 3 3 2 1 3 2 N SD: 12.6647 c. M:-19.4236 c. 108: 2 3 2 2 2 2 3 2 2 2 2 3 2 3 2 2 2 2 3 2 2 2 2 3 1 4 2 2 2 1 4 2 1 3 2 3 2 3 1 3 2 1 4 2 2 2 2 3 N SD: 12.2272 c. M: 21.6020 c. 112: 2 3 2 2 3 2 2 3 2 2 2 3 2 3 2 2 3 2 2 3 2 2 2 3 1 4 2 2 2 2 3 3 1 3 2 3 2 3 1 3 3 1 3 3 2 2 2 3 N SD: 12.0558 c. M:-17.4878 c. 115: 2 3 3 1 3 2 3 3 1 2 3 3 2 3 2 2 3 2 3 2 2 2 3 3 1 3 3 2 2 2 3 3 1 3 3 2 2 3 2 3 2 2 3 3 2 2 2 3 N SD: 11.9426 c. M:-22.5951 c. 116: 2 3 2 2 3 2 3 2 2 2 3 3 2 3 2 2 3 2 3 2 2 2 3 3 1 4 2 2 2 2 4 2 1 3 3 3 2 3 1 3 3 1 4 2 3 1 3 3 N SD: 14.0208 c. M: 27.4794 c. 117: 2 3 3 1 3 2 3 3 2 2 3 2 2 3 3 2 2 2 3 3 2 2 3 2 2 3 3 2 2 2 4 2 1 3 3 3 2 3 1 3 3 1 4 3 2 1 3 3 N SD: 10.9882 c. M: 20.5128 c. 124: 2 3 3 2 3 2 3 3 2 2 3 3 2 3 3 2 3 2 3 3 2 2 3 3 1 4 3 2 2 2 4 3 1 3 3 3 2 3 2 3 3 1 4 3 2 2 3 3 N SD: 6.2028 c. M: 15.5424 c. 152: 3 3 4 2 4 2 4 4 2 3 3 4 3 3 4 2 4 2 4 4 2 3 3 4 2 4 4 2 3 2 5 4 1 4 3 4 3 3 2 4 4 1 5 4 3 2 3 4 N SD: 9.7678 c. M: 14.5845 c. 154: 3 4 3 2 4 3 4 3 2 3 4 4 2 4 4 2 4 2 4 4 2 3 4 3 2 5 3 2 3 3 5 3 1 4 4 4 2 4 2 4 4 1 5 4 3 2 4 3 N SD: 9.7608 c. M:-18.2248 c. 157: 3 4 3 3 3 3 4 4 2 3 4 3 3 4 4 2 4 2 4 4 2 3 4 4 1 5 4 2 3 3 4 4 1 4 4 4 3 3 2 4 4 2 5 3 3 2 4 4 N SD: 8.8860 c. M:-15.2866 c. 158: 3 4 3 3 3 3 4 4 2 3 4 4 2 4 4 2 4 3 4 3 3 2 4 4 2 5 3 3 3 2 5 4 1 4 4 4 2 4 2 4 4 2 5 3 3 2 4 4 N SD: 8.7154 c. M:-15.2950 c. 163: 3 4 4 2 4 3 4 4 2 3 4 4 3 4 3 3 4 3 4 3 3 3 4 3 2 5 4 3 2 3 5 4 1 4 4 4 3 4 2 4 4 2 5 4 3 2 4 4 N SD: 8.2469 c. M: 14.7239 c. 164: 3 4 4 2 4 3 4 4 2 3 4 4 3 4 4 2 4 3 4 4 2 3 4 4 2 5 4 2 3 3 5 4 1 4 4 4 3 4 2 4 4 2 5 4 3 2 4 4 N SD: 4.1757 c. M:-8.2528 c. 212: 4 5 5 3 5 4 5 5 3 4 5 5 4 5 5 3 5 4 5 5 3 4 5 5 2 7 5 3 4 3 7 5 1 6 5 5 4 5 3 5 5 2 7 5 4 3 5 5 N SD: 3.3985 c. M: 7.9899 c. 264: 5 6 6 4 6 5 7 6 4 4 7 6 5 6 6 4 6 5 7 6 4 4 7 6 3 8 6 4 5 4 9 6 1 7 7 6 5 6 4 6 6 3 9 6 5 3 7 6 N SD: 4.9814 c. M:-7.1359 c. 272: 5 7 6 4 6 5 7 6 4 5 7 6 5 7 6 4 6 5 7 6 4 5 7 6 3 9 6 4 5 4 9 6 2 7 7 6 5 7 3 7 6 3 9 6 5 4 7 6 N SD: 3.9445 c. M:-7.8547 c. 288: 5 7 7 4 7 5 7 7 4 5 7 7 5 7 7 4 7 5 7 7 4 5 7 7 3 9 7 4 5 5 9 7 1 8 7 7 5 7 4 7 7 3 9 7 5 4 7 7 N SD: 2.8969 c. M: 7.1943 c. 308: 5 8 7 5 7 5 8 7 5 5 8 7 5 8 7 5 7 5 8 7 5 5 8 7 3 10 7 5 5 5 10 7 2 8 8 7 5 8 4 8 7 3 10 7 6 4 8 7 N SD: 3.4099 c. M: 6.5451 c. 328: 6 8 8 4 8 6 8 8 4 6 8 8 6 8 8 4 8 6 8 8 4 6 8 8 4 10 8 4 6 6 10 8 1 9 8 8 6 8 4 8 8 4 10 8 6 4 8 8 N SD: 4.1068 c. M: 6.3813 c. 329: 6 8 8 5 7 6 8 8 5 5 9 7 6 8 8 5 7 6 8 8 5 6 8 8 3 11 7 5 6 5 11 7 2 9 8 8 6 8 4 8 8 4 10 8 6 4 8 8 N SD: 4.0480 c. M:-7.6402 c. 332: 6 8 8 5 7 6 9 7 5 6 8 8 6 8 8 5 7 6 9 7 5 6 8 8 4 10 8 5 6 5 11 7 2 9 8 8 6 8 4 9 7 4 11 7 7 4 8 8 N SD: 3.8650 c. M: 6.6299 c. 336: 6 8 8 5 8 6 8 8 5 6 8 8 6 8 8 5 8 6 8 8 5 6 8 8 4 10 8 5 6 6 10 8 2 9 8 8 6 8 5 8 8 4 10 8 6 5 8 8 N SD: 2.5908 c. M: 5.8650 c. 348: 6 9 8 5 8 6 9 8 5 6 9 8 6 9 8 5 8 6 9 8 5 6 9 8 4 11 8 5 6 6 11 8 2 9 9 8 6 9 4 9 8 4 11 8 7 4 9 8 N SD: 2.0208 c. M: 4.8019 c. 456: 8 11 11 7 10 8 12 10 7 8 11 11 8 11 11 7 10 8 12 10 7 8 11 11 5 14 11 7 8 7 15 10 3 12 11 11 8 11 6 12 10 5 15 10 9 6 11 11 N SD: 2.7635 c. M: 4.0582 c. 460: 8 12 10 7 11 8 11 11 7 8 11 11 8 12 10 7 11 8 11 11 7 8 11 11 5 15 10 7 8 8 14 11 3 12 11 11 8 12 6 11 11 5 14 11 9 6 11 11 N SD: 2.4707 c. M:-4.7857 c. 472: 8 12 11 7 11 8 12 11 7 8 12 11 8 12 11 7 11 8 12 11 7 8 12 11 5 15 11 7 8 8 15 11 3 12 12 11 8 12 6 12 11 5 15 11 9 6 12 11 N SD: 1.5869 c. M:-3.5401 c. 520: 9 13 12 8 12 9 13 12 8 9 13 12 9 13 12 8 12 9 13 12 8 9 13 12 6 16 12 8 9 9 16 12 3 14 13 12 9 13 7 13 12 6 16 12 10 7 13 12 N SD: 1.1825 c. M:-2.5282 c. 560: 10 14 13 8 13 10 14 13 8 10 14 13 10 14 13 8 13 10 14 13 8 10 14 13 6 18 13 8 10 9 18 13 3 15 14 13 10 14 7 14 13 6 18 13 11 7 14 13 N SD: 1.1748 c. M: 2.7465 c. 684: 12 17 16 10 16 12 17 16 10 12 17 16 12 17 16 10 16 12 17 16 10 12 17 16 8 21 16 10 12 12 21 16 4 18 17 16 12 17 9 17 16 8 21 16 13 9 17 16 N SD: 0.8463 c. M:-3.0680 c. 732: 13 18 17 11 17 13 18 17 11 13 18 17 13 18 17 11 17 13 18 17 11 13 18 17 8 23 17 11 13 12 23 17 4 20 18 17 13 18 10 18 17 8 23 17 14 10 18 17 N SD: 0.8370 c. M:-1.9816 c. 896: 16 22 21 13 21 16 22 21 13 16 22 21 16 22 21 13 21 16 22 21 13 16 22 21 10 28 21 13 16 15 28 21 5 24 22 21 16 22 12 22 21 10 28 21 17 12 22 21 N SD: 0.6558 c. M:-1.4164 c. 1080: 19 27 25 16 25 19 27 25 16 19 27 25 19 27 25 16 25 19 27 25 16 19 27 25 12 34 25 16 19 18 34 25 6 29 27 25 19 27 14 27 25 12 34 25 21 14 27 25 N SD: 0.3404 c. M:-0.8017 c. 1600: 28 40 37 24 37 28 40 37 24 28 40 37 28 40 37 24 37 28 40 37 24 28 40 37 18 50 37 24 28 27 50 37 9 43 40 37 28 40 21 40 37 18 50 37 31 21 40 37 N SD: 0.4816 c. M:-0.7313 c. 1764: 31 44 41 26 41 31 44 41 26 31 44 41 31 44 41 26 41 31 44 41 26 31 44 41 20 55 41 26 31 30 55 41 10 47 44 41 31 44 23 44 41 20 55 41 34 23 44 41 N SD: 0.2986 c. M:-1.1488 c. 1976: 35 49 46 29 46 35 49 46 29 35 49 46 35 49 46 29 46 35 49 46 29 35 49 46 22 62 46 29 35 33 62 46 11 53 49 46 35 49 26 49 46 22 62 46 38 26 49 46 N SD: 0.2390 c. M:-0.5530 c. 2448: 43 61 57 36 57 43 61 57 36 43 61 57 43 61 57 36 57 43 61 57 36 43 61 57 27 77 57 36 43 41 77 57 14 65 61 57 43 61 32 61 57 27 77 57 47 32 61 57 N SD: 0.1544 c. M:-0.6488 c. 2968: 52 74 69 44 69 52 74 69 44 52 74 69 52 74 69 44 69 52 74 69 44 52 74 69 33 93 69 44 52 50 93 69 17 79 74 69 52 74 39 74 69 33 93 69 57 39 74 69 N SD: 0.1977 c. M:-0.4427 c. 3056: 54 76 71 45 71 54 76 71 45 54 76 71 54 76 71 45 71 54 76 71 45 54 76 71 34 96 71 45 54 51 96 71 17 82 76 71 54 76 40 76 71 34 96 71 59 40 76 71 N SD: 0.1993 c. M:-0.4233 c. 3132: 55 78 73 46 73 55 78 73 46 55 78 73 55 78 73 46 73 55 78 73 46 55 78 73 35 98 73 46 55 53 98 73 17 84 78 73 55 78 41 78 73 35 98 73 60 41 78 73 N SD: 0.1863 c. M: 0.6809 c. 3180: 56 79 74 47 74 56 79 74 47 56 79 74 56 79 74 47 74 56 79 74 47 56 79 74 35 100 74 47 56 53 100 74 18 85 79 74 56 79 42 79 74 35 100 74 61 42 79 74 N SD: 0.1633 c. M: 0.4428 c. 3528: 62 88 82 52 82 62 88 82 52 62 88 82 62 88 82 52 82 62 88 82 52 62 88 82 39 111 82 52 62 59 111 82 20 94 88 82 62 88 46 88 82 39 111 82 68 46 88 82 N SD: 0.1385 c. M: 0.2975 c. 3864: 68 96 90 57 90 68 96 90 57 68 96 90 68 96 90 57 90 68 96 90 57 68 96 90 43 121 90 57 68 65 121 90 22 103 96 90 68 96 51 96 90 43 121 90 74 51 96 90 N SD: 0.1310 c. M:-0.4661 c. 4212: 74 105 98 62 98 74 105 98 62 74 105 98 74 105 98 62 98 74 105 98 62 74 105 98 47 132 98 62 74 71 132 98 24 112 105 98 74 105 55 105 98 47 132 98 81 55 105 98 N SD: 0.1294 c. M:-0.4980 c.
FIT/HARMONIC
1 .. 16 match: 15 H SD: 1.7894 cents 2 .. 32 match: 26 S SD: 2.0434 cents 3 .. 48 match: 31 SD: 3.8646 cents 4 .. 64 match: 35 SD: 2.1346 cents 5 .. 80 match: 39 SD: 3.1632 cents 6 .. 96 match: 41 SD: 2.7941 cents 7 .. 112 match: 43 SD: 3.2677 cents 8 .. 128 match: 44 SD: 1.7448 cents 9 .. 144 match: 45 SD: 2.5850 cents 10 .. 160 match: 46 SD: 2.2488 cents 11 .. 176 match: 45 SD: 2.8113 cents 12 .. 192 match: 47 SD: 2.0278 cents 13 .. 208 match: 47 SD: 2.5116 cents 14 .. 224 match: 48 SD: 2.3659 cents 15 .. 240 match: 48 SD: 1.5374 cents 16 .. 256 match: 48 SD: 1.4617 cents 20 .. 320 match: 48 SD: 1.1520 cents 24 .. 384 match: 48 SD: 0.8083 cents 32 .. 512 match: 48 SD: 0.7836 cents 36 .. 576 match: 48 SD: 0.7563 cents 39 .. 624 match: 48 SD: 0.6672 cents 40 .. 640 match: 48 SD: 0.3258 cents 60 .. 960 match: 48 SD: 0.3190 cents 72 .. 1152 match: 48 SD: 0.2978 cents 80 .. 1280 match: 48 SD: 0.1627 cents 120 .. 1920 match: 48 SD: 0.0000 cents