Scala analysis: xen16-hero-lambdoma-08
8 by 8 Lambdoma matrix
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 8/7 231.174094 septimal whole tone 2: 4/3 498.044999 perfect fourth 3: 8/5 813.686286 minor sixth 4: 2/1 1200.000000 octave 5: 16/7 1431.174094 septimal major ninth 6: 8/3 1698.044999 perfect 11th 7: 3/1 1901.955001 perfect 12th 8: 16/5 2013.686286 minor 13th 9: 24/7 2133.129094 septimal major 13th 10: 4/1 2400.000000 2 octaves 11: 32/7 2631.174094 harmonic 16th 12: 24/5 2715.641287 minor 17th 13: 5/1 2786.313714 major 17th 14: 16/3 2898.044999 perfect 18th 15: 40/7 3017.487807 Euler's tritone +2 octaves 16: 6/1 3101.955001 perfect 19th 17: 32/5 3213.686286 minor 20th 18: 20/3 3284.358713 major 20th 19: 48/7 3333.129094 septimal major 20th 20: 7/1 3368.825906 harmonic 21st 21: 8/1 3600.000000 3 octaves 22: 64/7 3831.174094 harmonic 23rd 23: 28/3 3866.870906 minimal 24th 24: 48/5 3915.641287 minor 24th 25: 10/1 3986.313714 major 24th 26: 32/3 4098.044999 perfect 25th 27: 56/5 4182.512193 septimal or Huygens' tritone, BP fourth +3 octaves 28: 12/1 4301.955001 perfect 26th 29: 64/5 4413.686286 minor 27th 30: 40/3 4484.358713 major 27th 31: 14/1 4568.825906 harmonic 28th 32: 16/1 4800.000000 4 octaves 33: 56/3 5066.870906 minimal 31st 34: 20/1 5186.313714 major 31st 35: 64/3 5298.044999 perfect 32nd 36: 24/1 5501.955001 perfect 33rd 37: 28/1 5768.825906 harmonic 35th 38: 32/1 6000.000000 5 octaves 39: 40/1 6386.313714 major 38th 40: 48/1 6701.955001 perfect 40th 41: 56/1 6968.825906 harmonic 42nd 42: 64/1 7200.000000 6 octaves
SHOW/INTERVAL
0: 8/7 231.1741 septimal whole tone 1: 8/7 231.1741 septimal whole tone 2: 7/6 266.8709 septimal minor third 3: 6/5 315.6413 minor third 4: 5/4 386.3137 major third 5: 8/7 231.1741 septimal whole tone 6: 7/6 266.8709 septimal minor third 7: 9/8 203.9100 major whole tone 8: 16/15 111.7313 minor diatonic semitone 9: 15/14 119.4428 major diatonic semitone 10: 7/6 266.8709 septimal minor third 11: 8/7 231.1741 septimal whole tone 12: 21/20 84.4672 minor semitone 13: 25/24 70.6724 classic chromatic semitone, minor chroma 14: 16/15 111.7313 minor diatonic semitone 15: 15/14 119.4428 major diatonic semitone 16: 21/20 84.4672 minor semitone 17: 16/15 111.7313 minor diatonic semitone 18: 25/24 70.6724 classic chromatic semitone, minor chroma 19: 36/35 48.7704 septimal diesis, 1/4-tone 20: 49/48 35.6968 slendro diesis, septimal 1/6-tone 21: 8/7 231.1741 septimal whole tone 22: 8/7 231.1741 septimal whole tone 23: 49/48 35.6968 slendro diesis, septimal 1/6-tone 24: 36/35 48.7704 septimal diesis, 1/4-tone 25: 25/24 70.6724 classic chromatic semitone, minor chroma 26: 16/15 111.7313 minor diatonic semitone 27: 21/20 84.4672 minor semitone 28: 15/14 119.4428 major diatonic semitone 29: 16/15 111.7313 minor diatonic semitone 30: 25/24 70.6724 classic chromatic semitone, minor chroma 31: 21/20 84.4672 minor semitone 32: 8/7 231.1741 septimal whole tone 33: 7/6 266.8709 septimal minor third 34: 15/14 119.4428 major diatonic semitone 35: 16/15 111.7313 minor diatonic semitone 36: 9/8 203.9100 major whole tone 37: 7/6 266.8709 septimal minor third 38: 8/7 231.1741 septimal whole tone 39: 5/4 386.3137 major third 40: 6/5 315.6413 minor third 41: 7/6 266.8709 septimal minor third 42: 8/7 231.1741 septimal whole tone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 49/48 35.697 cents slendro diesis, septimal 1/6-tone 1: 2 36/35 48.770 cents septimal diesis, 1/4-tone 1: 4 25/24 70.672 cents classic chromatic semitone, minor chroma 1: 4 21/20 84.467 cents minor semitone 1: 6 16/15 111.731 cents minor diatonic semitone 1: 4 15/14 119.443 cents major diatonic semitone 1: 2 9/8 203.910 cents major whole tone 1: 8 8/7 231.174 cents septimal whole tone 1: 6 7/6 266.871 cents septimal minor third 1: 2 6/5 315.641 cents minor third 1: 2 5/4 386.314 cents major third 2: 2 21/20 84.467 cents minor semitone 2: 2 15/14 119.443 cents major diatonic semitone 2: 2 35/32 155.140 cents septimal neutral second 2: 4 10/9 182.404 cents minor whole tone 2: 2 28/25 196.198 cents middle second 2: 2 9/8 203.910 cents major whole tone 2: 4 8/7 231.174 cents septimal whole tone 2: 2 7/6 266.871 cents septimal minor third 2: 4 6/5 315.641 cents minor third 2: 2 5/4 386.314 cents major third 2: 2 64/49 462.348 cents 2 septatones or septatonic major third 2: 2 21/16 470.781 cents narrow fourth 2: 6 4/3 498.045 cents perfect fourth 2: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 2: 2 10/7 617.488 cents Euler's tritone 2: 2 3/2 701.955 cents perfect fifth 3: 2 35/32 155.140 cents septimal neutral second 3: 2 8/7 231.174 cents septimal whole tone 3: 4 7/6 266.871 cents septimal minor third 3: 2 25/21 301.847 cents BP second, quasi-equal minor third 3: 6 6/5 315.641 cents minor third 3: 2 5/4 386.314 cents major third 3: 2 9/7 435.084 cents septimal major third, BP third 3: 4 4/3 498.045 cents perfect fourth 3: 4 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 3: 2 10/7 617.488 cents Euler's tritone 3: 2 3/2 701.955 cents perfect fifth 3: 2 32/21 729.219 cents wide fifth 3: 2 8/5 813.686 cents minor sixth 3: 2 5/3 884.359 cents major sixth, BP sixth 3: 2 12/7 933.129 cents septimal major sixth 3: 2 7/4 968.826 cents harmonic seventh 4: 2 7/6 266.871 cents septimal minor third 4: 2 6/5 315.641 cents minor third 4: 8 5/4 386.314 cents major third 4: 2 32/25 427.373 cents classic diminished fourth 4: 2 4/3 498.045 cents perfect fourth 4: 1 49/36 533.742 cents Arabic lute acute fourth 4: 2 48/35 546.815 cents septimal semi-augmented fourth 4: 2 35/24 653.185 cents septimal semi-diminished fifth 4: 6 3/2 701.955 cents perfect fifth 4: 2 32/21 729.219 cents wide fifth 4: 2 8/5 813.686 cents minor sixth 4: 1 16/9 996.090 cents Pythagorean minor seventh 4: 2 64/35 1044.860 cents septimal neutral seventh 4: 2 15/8 1088.269 cents classic major seventh 4: 6 2/1 1200.000 cents octave 5: 2 49/40 351.338 cents larger approximation to neutral third 5: 2 9/7 435.084 cents septimal major third, BP third 5: 2 21/16 470.781 cents narrow fourth 5: 6 4/3 498.045 cents perfect fourth 5: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 5: 4 10/7 617.488 cents Euler's tritone 5: 2 14/9 764.916 cents septimal minor sixth 5: 2 25/16 772.627 cents classic augmented fifth 5: 2 8/5 813.686 cents minor sixth 5: 4 12/7 933.129 cents septimal major sixth 5: 2 7/4 968.826 cents harmonic seventh 5: 2 2/1 1200.000 cents octave 5: 2 32/15 1311.731 cents minor ninth 5: 2 9/4 1403.910 cents major ninth 5: 4 16/7 1431.174 cents septimal major ninth 5: 2 7/3 1466.871 cents minimal tenth, BP tenth 6: 2 21/16 470.781 cents narrow fourth 6: 2 48/35 546.815 cents septimal semi-augmented fourth 6: 2 25/18 568.717 cents classic augmented fourth 6: 4 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 6: 1 36/25 631.283 cents classic diminished fifth 6: 2 35/24 653.185 cents septimal semi-diminished fifth 6: 2 3/2 701.955 cents perfect fifth 6: 2 32/21 729.219 cents wide fifth 6: 6 5/3 884.359 cents major sixth, BP sixth 6: 2 9/5 1017.596 cents just minor seventh, BP seventh 6: 4 2/1 1200.000 cents octave 6: 2 15/7 1319.443 cents septimal minor ninth, BP ninth 6: 2 12/5 1515.641 cents minor 10th 6: 1 64/25 1627.373 cents classic diminished 11th 6: 2 128/49 1662.348 cents 2 septatones or septatonic major third +1 octave 6: 2 21/8 1670.781 cents narrow fourth +1 octave 6: 4 8/3 1698.045 cents perfect 11th 7: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 7: 2 10/7 617.488 cents Euler's tritone 7: 2 35/24 653.185 cents septimal semi-diminished fifth 7: 4 3/2 701.955 cents perfect fifth 7: 2 14/9 764.916 cents septimal minor sixth 7: 4 8/5 813.686 cents minor sixth 7: 2 7/4 968.826 cents harmonic seventh 7: 2 16/9 996.090 cents Pythagorean minor seventh 7: 2 25/14 1003.802 cents middle minor seventh 7: 2 15/8 1088.269 cents classic major seventh 7: 2 21/10 1284.467 cents minor semitone +1 octave 7: 2 16/7 1431.174 cents septimal major ninth 7: 2 5/2 1586.314 cents major 10th 7: 2 18/7 1635.084 cents septimal major 10th 7: 2 14/5 1782.512 cents septimal or Huygens' tritone, BP fourth +1 octave 7: 2 3/1 1901.955 cents perfect 12th 7: 4 64/21 1929.219 cents wide fifth +1 octave 7: 2 16/5 2013.686 cents minor 13th 8: 2 35/24 653.185 cents septimal semi-diminished fifth 8: 2 3/2 701.955 cents perfect fifth 8: 1 25/16 772.627 cents classic augmented fifth 8: 4 8/5 813.686 cents minor sixth 8: 2 49/30 849.383 cents larger approximation to neutral sixth 8: 2 5/3 884.359 cents major sixth, BP sixth 8: 2 12/7 933.129 cents septimal major sixth 8: 2 28/15 1080.557 cents grave major seventh 8: 2 15/8 1088.269 cents classic major seventh 8: 2 40/21 1115.533 cents acute major seventh 8: 2 2/1 1200.000 cents octave 8: 2 35/16 1355.140 cents septimal neutral second +1 octave 8: 2 12/5 1515.641 cents minor 10th 8: 2 20/7 1817.488 cents Euler's tritone +1 octave 8: 4 3/1 1901.955 cents perfect 12th 8: 2 16/5 2013.686 cents minor 13th 8: 2 24/7 2133.129 cents septimal major 13th 8: 2 32/9 2196.090 cents Pythagorean minor 14th 8: 2 128/35 2244.860 cents septimal neutral seventh +1 octave 8: 1 4/1 2400.000 cents 2 octaves 9: 2 49/32 737.652 cents 9: 4 5/3 884.359 cents major sixth, BP sixth 9: 2 42/25 898.153 cents quasi-equal major sixth 9: 2 12/7 933.129 cents septimal major sixth 9: 2 7/4 968.826 cents harmonic seventh 9: 2 64/35 1044.860 cents septimal neutral seventh 9: 2 35/18 1151.230 cents septimal semi-diminished octave 9: 4 2/1 1200.000 cents octave 9: 2 15/7 1319.443 cents septimal minor ninth, BP ninth 9: 2 7/3 1466.871 cents minimal tenth, BP tenth 9: 2 5/2 1586.314 cents major 10th 9: 2 3/1 1901.955 cents perfect 12th 9: 4 24/7 2133.129 cents septimal major 13th 9: 2 7/2 2168.826 cents harmonic 14th 9: 2 128/35 2244.860 cents septimal neutral seventh +1 octave 9: 2 4/1 2400.000 cents 2 octaves 9: 2 64/15 2511.731 cents minor diatonic semitone +2 octaves 9: 2 32/7 2631.174 cents harmonic 16th 10: 6 7/4 968.826 cents harmonic seventh 10: 1 16/9 996.090 cents Pythagorean minor seventh 10: 2 9/5 1017.596 cents just minor seventh, BP seventh 10: 2 28/15 1080.557 cents grave major seventh 10: 2 40/21 1115.533 cents acute major seventh 10: 2 2/1 1200.000 cents octave 10: 2 25/12 1270.672 cents classic augmented octave 10: 2 32/15 1311.731 cents minor ninth 10: 2 9/4 1403.910 cents major ninth 10: 2 5/2 1586.314 cents major 10th 10: 2 8/3 1698.045 cents perfect 11th 10: 2 25/8 1972.627 cents classic augmented 12th 10: 2 18/5 2217.596 cents minor 14th 10: 2 192/49 2364.303 cents 10: 4 4/1 2400.000 cents 2 octaves 10: 2 64/15 2511.731 cents minor diatonic semitone +2 octaves 10: 2 24/5 2715.641 cents minor 17th 10: 1 256/49 2862.348 cents 2 septatones or septatonic major third +2 octaves 10: 2 16/3 2898.045 cents perfect 18th 11: 2 28/15 1080.557 cents grave major seventh 11: 2 15/8 1088.269 cents classic major seventh 11: 2 48/25 1129.328 cents classic diminished octave 11: 2 35/18 1151.230 cents septimal semi-diminished octave 11: 4 2/1 1200.000 cents octave 11: 2 49/24 1235.697 cents slendro diesis, septimal 1/6-tone +1 octave 11: 2 15/7 1319.443 cents septimal minor ninth, BP ninth 11: 2 20/9 1382.404 cents small ninth 11: 2 12/5 1515.641 cents minor 10th 11: 2 21/8 1670.781 cents narrow fourth +1 octave 11: 2 20/7 1817.488 cents Euler's tritone +1 octave 11: 2 10/3 2084.359 cents major 13th 11: 2 15/4 2288.269 cents classic major 14th 11: 2 21/5 2484.467 cents minor semitone +2 octaves 11: 6 32/7 2631.174 cents harmonic 16th 11: 2 128/25 2827.373 cents classic diminished 18th 11: 2 6/1 3101.955 cents perfect 19th 11: 2 128/21 3129.219 cents wide fifth +2 octaves 12: 1 49/25 1165.024 cents BP eighth 12: 6 2/1 1200.000 cents octave 12: 2 49/24 1235.697 cents slendro diesis, septimal 1/6-tone +1 octave 12: 2 35/16 1355.140 cents septimal neutral second +1 octave 12: 4 16/7 1431.174 cents septimal major ninth 12: 2 7/3 1466.871 cents minimal tenth, BP tenth 12: 2 5/2 1586.314 cents major 10th 12: 2 14/5 1782.512 cents septimal or Huygens' tritone, BP fourth +1 octave 12: 2 3/1 1901.955 cents perfect 12th 12: 2 25/7 2203.802 cents middle minor seventh +1 octave 12: 2 4/1 2400.000 cents 2 octaves 12: 2 35/8 2555.140 cents septimal neutral second +2 octaves 12: 2 24/5 2715.641 cents minor 17th 12: 2 256/49 2862.348 cents 2 septatones or septatonic major third +2 octaves 12: 2 16/3 2898.045 cents perfect 18th 12: 2 192/35 2946.815 cents septimal semi-augmented fourth +2 octaves 12: 2 32/5 3213.686 cents minor 20th 12: 2 48/7 3333.129 cents septimal major 20th 12: 1 64/9 3396.090 cents Pythagorean minor 21st 13: 2 25/12 1270.672 cents classic augmented octave 13: 4 21/10 1284.467 cents minor semitone +1 octave 13: 2 32/15 1311.731 cents minor ninth 13: 4 7/3 1466.871 cents minimal tenth, BP tenth 13: 2 5/2 1586.314 cents major 10th 13: 2 18/7 1635.084 cents septimal major 10th 13: 2 8/3 1698.045 cents perfect 11th 13: 2 35/12 1853.185 cents septimal semi-diminished fifth +1 octave 13: 2 16/5 2013.686 cents minor 13th 13: 2 15/4 2288.269 cents classic major 14th 13: 2 30/7 2519.443 cents major diatonic semitone +2 octaves 13: 2 14/3 2666.871 cents minimal 17th 13: 2 5/1 2786.314 cents major 17th 13: 2 192/35 2946.815 cents septimal semi-augmented fourth +2 octaves 13: 2 128/21 3129.219 cents wide fifth +2 octaves 13: 2 32/5 3213.686 cents minor 20th 13: 2 48/7 3333.129 cents septimal major 20th 13: 2 256/35 3444.860 cents septimal neutral seventh +2 octaves 13: 2 8/1 3600.000 cents 3 octaves 14: 2 35/16 1355.140 cents septimal neutral second +1 octave 14: 2 20/9 1382.404 cents small ninth 14: 2 56/25 1396.198 cents middle second +1 octave 14: 1 9/4 1403.910 cents major ninth 14: 2 12/5 1515.641 cents minor 10th 14: 2 21/8 1670.781 cents narrow fourth +1 octave 14: 2 8/3 1698.045 cents perfect 11th 14: 2 49/18 1733.742 cents Arabic lute acute fourth +1 octave 14: 2 20/7 1817.488 cents Euler's tritone +1 octave 14: 2 3/1 1901.955 cents perfect 12th 14: 2 10/3 2084.359 cents major 13th 14: 2 4/1 2400.000 cents 2 octaves 14: 2 9/2 2603.910 cents perfect 16th 14: 2 5/1 2786.314 cents major 17th 14: 2 16/3 2898.045 cents perfect 18th 14: 2 40/7 3017.488 cents Euler's tritone +2 octaves 14: 2 32/5 3213.686 cents minor 20th 14: 2 256/35 3444.860 cents septimal neutral seventh +2 octaves 14: 2 384/49 3564.303 cents 14: 2 8/1 3600.000 cents 3 octaves 14: 2 128/15 3711.731 cents minor diatonic semitone +3 octaves 14: 1 9/1 3803.910 cents perfect 23rd 15: 4 7/3 1466.871 cents minimal tenth, BP tenth 15: 2 12/5 1515.641 cents minor 10th 15: 2 5/2 1586.314 cents major 10th 15: 2 14/5 1782.512 cents septimal or Huygens' tritone, BP fourth +1 octave 15: 2 35/12 1853.185 cents septimal semi-diminished fifth +1 octave 15: 2 3/1 1901.955 cents perfect 12th 15: 2 64/21 1929.219 cents wide fifth +1 octave 15: 2 49/16 1937.652 cents 15: 2 24/7 2133.129 cents septimal major 13th 15: 2 25/6 2470.672 cents classic chromatic semitone, minor chroma +2 octaves 15: 2 24/5 2715.641 cents minor 17th 15: 2 21/4 2870.781 cents narrow fourth +2 octaves 15: 2 40/7 3017.488 cents Euler's tritone +2 octaves 15: 2 128/21 3129.219 cents wide fifth +2 octaves 15: 2 20/3 3284.359 cents major 20th 15: 2 192/25 3529.328 cents classic diminished octave +2 octaves 15: 6 64/7 3831.174 cents harmonic 23rd 15: 2 48/5 3915.641 cents minor 24th 16: 2 49/20 1551.338 cents larger approximation to neutral third +1 octave 16: 2 5/2 1586.314 cents major 10th 16: 1 64/25 1627.373 cents classic diminished 11th 16: 2 8/3 1698.045 cents perfect 11th 16: 2 35/12 1853.185 cents septimal semi-diminished fifth +1 octave 16: 2 3/1 1901.955 cents perfect 12th 16: 2 28/9 1964.916 cents septimal minor 13th 16: 2 24/7 2133.129 cents septimal major 13th 16: 4 7/2 2168.826 cents harmonic 14th 16: 2 30/7 2519.443 cents major diatonic semitone +2 octaves 16: 2 5/1 2786.314 cents major 17th 16: 2 28/5 2982.512 cents septimal or Huygens' tritone, BP fourth +2 octaves 16: 2 6/1 3101.955 cents perfect 19th 16: 2 320/49 3248.662 cents smaller approximation to neutral sixth +2 octaves 16: 2 64/9 3396.090 cents Pythagorean minor 21st 16: 2 8/1 3600.000 cents 3 octaves 16: 2 48/5 3915.641 cents minor 24th 16: 1 256/25 4027.373 cents classic diminished 25th 16: 2 72/7 4035.084 cents septimal major 24th 16: 2 512/49 4062.348 cents 2 septatones or septatonic major third +3 octaves 16: 2 32/3 4098.045 cents perfect 25th 17: 2 21/8 1670.781 cents narrow fourth +1 octave 17: 2 8/3 1698.045 cents perfect 11th 17: 2 14/5 1782.512 cents septimal or Huygens' tritone, BP fourth +1 octave 17: 2 28/9 1964.916 cents septimal minor 13th 17: 2 25/8 1972.627 cents classic augmented 12th 17: 2 16/5 2013.686 cents minor 13th 17: 2 7/2 2168.826 cents harmonic 14th 17: 4 4/1 2400.000 cents 2 octaves 17: 2 35/8 2555.140 cents septimal neutral second +2 octaves 17: 2 36/7 2835.084 cents septimal major 17th 17: 2 35/6 3053.185 cents septimal semi-diminished fifth +2 octaves 17: 2 32/5 3213.686 cents minor 20th 17: 2 48/7 3333.129 cents septimal major 20th 17: 2 160/21 3515.533 cents acute major seventh +2 octaves 17: 2 128/15 3711.731 cents minor diatonic semitone +3 octaves 17: 2 10/1 3986.314 cents major 24th 17: 4 384/35 4146.815 cents septimal semi-augmented fourth +3 octaves 17: 2 12/1 4301.955 cents perfect 26th 17: 2 256/21 4329.219 cents wide fifth +3 octaves 18: 1 25/9 1768.717 cents classic augmented eleventh, BP twelfth 18: 2 14/5 1782.512 cents septimal or Huygens' tritone, BP fourth +1 octave 18: 2 3/1 1901.955 cents perfect 12th 18: 2 49/15 2049.383 cents larger approximation to neutral sixth +1 octave 18: 4 10/3 2084.359 cents major 13th 18: 2 18/5 2217.596 cents minor 14th 18: 2 49/12 2435.697 cents slendro diesis, septimal 1/6-tone +2 octaves 18: 2 32/7 2631.174 cents harmonic 16th 18: 2 5/1 2786.314 cents major 17th 18: 2 21/4 2870.781 cents narrow fourth +2 octaves 18: 2 6/1 3101.955 cents perfect 19th 18: 2 20/3 3284.359 cents major 20th 18: 2 256/35 3444.860 cents septimal neutral seventh +2 octaves 18: 2 8/1 3600.000 cents 3 octaves 18: 2 64/7 3831.174 cents harmonic 23rd 18: 2 32/3 4098.045 cents perfect 25th 18: 2 80/7 4217.488 cents Euler's tritone +3 octaves 18: 1 576/49 4266.258 cents Arabic lute grave fifth +3 octaves 18: 4 64/5 4413.686 cents minor 27th 18: 2 96/7 4533.129 cents septimal major 27th 19: 2 35/12 1853.185 cents septimal semi-diminished fifth +1 octave 19: 2 16/5 2013.686 cents minor 13th 19: 4 7/2 2168.826 cents harmonic 14th 19: 2 32/9 2196.090 cents Pythagorean minor 14th 19: 2 15/4 2288.269 cents classic major 14th 19: 2 21/5 2484.467 cents minor semitone +2 octaves 19: 2 14/3 2666.871 cents minimal 17th 19: 2 40/7 3017.488 cents Euler's tritone +2 octaves 19: 2 6/1 3101.955 cents perfect 19th 19: 2 49/8 3137.652 cents 19: 2 48/7 3333.129 cents septimal major 20th 19: 2 160/21 3515.533 cents acute major seventh +2 octaves 19: 2 128/15 3711.731 cents minor diatonic semitone +3 octaves 19: 2 48/5 3915.641 cents minor 24th 19: 2 80/7 4217.488 cents Euler's tritone +3 octaves 19: 2 256/21 4329.219 cents wide fifth +3 octaves 19: 2 40/3 4484.359 cents major 27th 19: 2 96/7 4533.129 cents septimal major 27th 19: 2 72/5 4617.596 cents minor 28th 19: 2 512/35 4644.860 cents septimal neutral seventh +3 octaves 20: 1 49/16 1937.652 cents 20: 2 10/3 2084.359 cents major 13th 20: 4 56/15 2280.557 cents grave major seventh +1 octave 20: 2 15/4 2288.269 cents classic major 14th 20: 2 4/1 2400.000 cents 2 octaves 20: 2 35/8 2555.140 cents septimal neutral second +2 octaves 20: 2 24/5 2715.641 cents minor 17th 20: 2 35/6 3053.185 cents septimal semi-diminished fifth +2 octaves 20: 2 48/7 3333.129 cents septimal major 20th 20: 4 7/1 3368.826 cents harmonic 21st 20: 2 384/49 3564.303 cents 20: 2 80/9 3782.404 cents minor whole tone +3 octaves 20: 2 256/25 4027.373 cents classic diminished 25th 20: 2 12/1 4301.955 cents perfect 26th 20: 2 640/49 4448.662 cents smaller approximation to neutral sixth +3 octaves 20: 2 128/9 4596.090 cents Pythagorean minor 28th 20: 2 15/1 4688.269 cents classic major 28th 20: 2 384/25 4729.328 cents classic diminished octave +3 octaves 20: 2 768/49 4764.303 cents 20: 1 16/1 4800.000 cents 4 octaves 21: 2 7/2 2168.826 cents harmonic 14th 21: 2 35/9 2351.230 cents septimal semi-diminished octave +1 octave 21: 4 4/1 2400.000 cents 2 octaves 21: 2 21/5 2484.467 cents minor semitone +2 octaves 21: 2 14/3 2666.871 cents minimal 17th 21: 2 5/1 2786.314 cents major 17th 21: 2 6/1 3101.955 cents perfect 19th 21: 2 7/1 3368.826 cents harmonic 21st 21: 6 8/1 3600.000 cents 3 octaves 21: 2 64/7 3831.174 cents harmonic 23rd 21: 2 32/3 4098.045 cents perfect 25th 21: 2 64/5 4413.686 cents minor 27th 21: 2 96/7 4533.129 cents septimal major 27th 21: 2 320/21 4715.533 cents acute major seventh +3 octaves 21: 4 16/1 4800.000 cents 4 octaves 21: 2 576/35 4848.770 cents septimal diesis, 1/4-tone +4 octaves 21: 2 128/7 5031.174 cents harmonic 30th 22: 1 4/1 2400.000 cents 2 octaves 22: 2 49/12 2435.697 cents slendro diesis, septimal 1/6-tone +2 octaves 22: 2 25/6 2470.672 cents classic chromatic semitone, minor chroma +2 octaves 22: 2 64/15 2511.731 cents minor diatonic semitone +2 octaves 22: 2 9/2 2603.910 cents perfect 16th 22: 2 49/10 2751.338 cents larger approximation to neutral third +2 octaves 22: 2 16/3 2898.045 cents perfect 18th 22: 2 25/4 3172.627 cents classic augmented 19th 22: 2 36/5 3417.596 cents minor 21st 22: 2 49/6 3635.697 cents slendro diesis, septimal 1/6-tone +3 octaves 22: 4 64/7 3831.174 cents harmonic 23rd 22: 2 28/3 3866.871 cents minimal 24th 22: 2 384/35 4146.815 cents septimal semi-augmented fourth +3 octaves 22: 2 40/3 4484.359 cents major 27th 22: 2 512/35 4644.860 cents septimal neutral seventh +3 octaves 22: 2 16/1 4800.000 cents 4 octaves 22: 2 256/15 4911.731 cents minor diatonic semitone +4 octaves 22: 4 120/7 4919.443 cents major diatonic semitone +4 octaves 22: 2 96/5 5115.641 cents minor 31st 22: 1 1024/49 5262.348 cents 2 septatones or septatonic major third +4 octaves 23: 2 35/8 2555.140 cents septimal neutral second +2 octaves 23: 2 40/9 2582.404 cents minor whole tone +2 octaves 23: 2 14/3 2666.871 cents minimal 17th 23: 2 24/5 2715.641 cents minor 17th 23: 2 21/4 2870.781 cents narrow fourth +2 octaves 23: 2 28/5 2982.512 cents septimal or Huygens' tritone, BP fourth +2 octaves 23: 2 20/3 3284.359 cents major 20th 23: 2 15/2 3488.269 cents classic major 21st 23: 2 42/5 3684.467 cents minor semitone +3 octaves 23: 2 28/3 3866.871 cents minimal 24th 23: 2 512/49 4062.348 cents 2 septatones or septatonic major third +3 octaves 23: 2 32/3 4098.045 cents perfect 25th 23: 2 56/5 4182.512 cents septimal or Huygens' tritone, BP fourth +3 octaves 23: 2 96/7 4533.129 cents septimal major 27th 23: 2 320/21 4715.533 cents acute major seventh +3 octaves 23: 2 256/15 4911.731 cents minor diatonic semitone +4 octaves 23: 2 18/1 5003.910 cents perfect 30th 23: 4 128/7 5031.174 cents harmonic 30th 23: 2 20/1 5186.314 cents major 31st 23: 2 768/35 5346.815 cents septimal semi-augmented fourth +4 octaves 24: 2 14/3 2666.871 cents minimal 17th 24: 4 5/1 2786.314 cents major 17th 24: 1 49/9 2933.742 cents Arabic lute acute fourth +2 octaves 24: 2 28/5 2982.512 cents septimal or Huygens' tritone, BP fourth +2 octaves 24: 2 6/1 3101.955 cents perfect 19th 24: 2 7/1 3368.826 cents harmonic 21st 24: 2 8/1 3600.000 cents 3 octaves 24: 2 35/4 3755.140 cents septimal neutral second +3 octaves 24: 2 48/5 3915.641 cents minor 24th 24: 2 32/3 4098.045 cents perfect 25th 24: 2 256/21 4329.219 cents wide fifth +3 octaves 24: 2 64/5 4413.686 cents minor 27th 24: 2 14/1 4568.826 cents harmonic 28th 24: 2 768/49 4764.303 cents 24: 2 160/9 4982.404 cents minor whole tone +4 octaves 24: 4 96/5 5115.641 cents minor 31st 24: 2 960/49 5150.617 cents smaller approximation to neutral third +4 octaves 24: 2 64/3 5298.045 cents perfect 32nd 24: 2 160/7 5417.488 cents Euler's tritone +4 octaves 24: 1 576/25 5431.283 cents classic diminished 33rd 25: 2 21/4 2870.781 cents narrow fourth +2 octaves 25: 2 16/3 2898.045 cents perfect 18th 25: 4 35/6 3053.185 cents septimal semi-diminished fifth +2 octaves 25: 2 32/5 3213.686 cents minor 20th 25: 2 15/2 3488.269 cents classic major 21st 25: 2 42/5 3684.467 cents minor semitone +3 octaves 25: 2 28/3 3866.871 cents minimal 24th 25: 2 10/1 3986.314 cents major 24th 25: 2 384/35 4146.815 cents septimal semi-augmented fourth +3 octaves 25: 2 112/9 4364.916 cents septimal minor 27th 25: 2 512/35 4644.860 cents septimal neutral seventh +3 octaves 25: 4 16/1 4800.000 cents 4 octaves 25: 2 128/7 5031.174 cents harmonic 30th 25: 2 20/1 5186.314 cents major 31st 25: 2 512/25 5227.373 cents classic diminished 32nd 25: 2 144/7 5235.084 cents septimal major 31st 25: 2 160/7 5417.488 cents Euler's tritone +4 octaves 25: 2 24/1 5501.955 cents perfect 33rd 25: 2 512/21 5529.219 cents wide fifth +4 octaves 26: 2 6/1 3101.955 cents perfect 19th 26: 2 49/8 3137.652 cents 26: 2 56/9 3164.916 cents septimal minor 20th 26: 1 25/4 3172.627 cents classic augmented 19th 26: 2 20/3 3284.359 cents major 20th 26: 2 8/1 3600.000 cents 3 octaves 26: 2 9/1 3803.910 cents perfect 23rd 26: 2 49/5 3951.338 cents larger approximation to neutral third +3 octaves 26: 2 32/3 4098.045 cents perfect 25th 26: 2 80/7 4217.488 cents Euler's tritone +3 octaves 26: 2 64/5 4413.686 cents minor 27th 26: 2 224/15 4680.557 cents grave major seventh +3 octaves 26: 4 128/7 5031.174 cents harmonic 30th 26: 2 56/3 5066.871 cents minimal 31st 26: 2 144/7 5235.084 cents septimal major 31st 26: 2 64/3 5298.045 cents perfect 32nd 26: 2 768/35 5346.815 cents septimal semi-augmented fourth +4 octaves 26: 2 24/1 5501.955 cents perfect 33rd 26: 1 25/1 5572.627 cents classic augmented 33rd 26: 2 128/5 5613.686 cents minor 34th 26: 2 1280/49 5648.662 cents smaller approximation to neutral sixth +4 octaves 27: 2 20/3 3284.359 cents major 20th 27: 6 7/1 3368.826 cents harmonic 21st 27: 2 25/3 3670.672 cents classic chromatic semitone, minor chroma +3 octaves 27: 2 48/5 3915.641 cents minor 24th 27: 2 21/2 4070.781 cents narrow fourth +3 octaves 27: 2 56/5 4182.512 cents septimal or Huygens' tritone, BP fourth +3 octaves 27: 2 256/21 4329.219 cents wide fifth +3 octaves 27: 2 40/3 4484.359 cents major 27th 27: 2 384/25 4729.328 cents classic diminished octave +3 octaves 27: 2 56/3 5066.871 cents minimal 31st 27: 2 1024/49 5262.348 cents 2 septatones or septatonic major third +4 octaves 27: 2 21/1 5270.781 cents narrow fourth +4 octaves 27: 2 64/3 5298.045 cents perfect 32nd 27: 2 768/35 5346.815 cents septimal semi-augmented fourth +4 octaves 27: 2 160/7 5417.488 cents Euler's tritone +4 octaves 27: 2 128/5 5613.686 cents minor 34th 27: 2 80/3 5684.359 cents major 34th 27: 4 192/7 5733.129 cents septimal major 34th 28: 1 64/9 3396.090 cents Pythagorean minor 21st 28: 2 15/2 3488.269 cents classic major 21st 28: 2 8/1 3600.000 cents 3 octaves 28: 2 49/6 3635.697 cents slendro diesis, septimal 1/6-tone +3 octaves 28: 2 35/4 3755.140 cents septimal neutral second +3 octaves 28: 2 10/1 3986.314 cents major 24th 28: 2 56/5 4182.512 cents septimal or Huygens' tritone, BP fourth +3 octaves 28: 2 12/1 4301.955 cents perfect 26th 28: 2 64/5 4413.686 cents minor 27th 28: 2 128/9 4596.090 cents Pythagorean minor 28th 28: 2 16/1 4800.000 cents 4 octaves 28: 2 96/5 5115.641 cents minor 31st 28: 2 64/3 5298.045 cents perfect 32nd 28: 2 112/5 5382.512 cents septimal or Huygens' tritone, BP fourth +4 octaves 28: 2 1152/49 5466.258 cents Arabic lute grave fifth +4 octaves 28: 2 24/1 5501.955 cents perfect 33rd 28: 2 512/21 5529.219 cents wide fifth +4 octaves 28: 2 80/3 5684.359 cents major 34th 28: 1 256/9 5796.090 cents Pythagorean minor 35th 28: 2 200/7 5803.802 cents middle minor seventh +4 octaves 28: 2 144/5 5817.596 cents minor 35th 28: 2 1024/35 5844.860 cents septimal neutral seventh +4 octaves 29: 2 8/1 3600.000 cents 3 octaves 29: 2 35/4 3755.140 cents septimal neutral second +3 octaves 29: 2 28/3 3866.871 cents minimal 24th 29: 2 10/1 3986.314 cents major 24th 29: 2 21/2 4070.781 cents narrow fourth +3 octaves 29: 2 35/3 4253.185 cents septimal semi-diminished fifth +3 octaves 29: 2 64/5 4413.686 cents minor 27th 29: 2 96/7 4533.129 cents septimal major 27th 29: 2 224/15 4680.557 cents grave major seventh +3 octaves 29: 2 256/15 4911.731 cents minor diatonic semitone +4 octaves 29: 2 20/1 5186.314 cents major 31st 29: 2 768/35 5346.815 cents septimal semi-augmented fourth +4 octaves 29: 2 24/1 5501.955 cents perfect 33rd 29: 2 224/9 5564.916 cents septimal minor 34th 29: 2 128/5 5613.686 cents minor 34th 29: 4 192/7 5733.129 cents septimal major 34th 29: 2 30/1 5888.269 cents classic major 35th 29: 4 640/21 5915.533 cents acute major seventh +4 octaves 29: 2 768/25 5929.328 cents classic diminished octave +4 octaves 30: 1 9/1 3803.910 cents perfect 23rd 30: 2 28/3 3866.871 cents minimal 24th 30: 2 10/1 3986.314 cents major 24th 30: 2 35/3 4253.185 cents septimal semi-diminished fifth +3 octaves 30: 2 12/1 4301.955 cents perfect 26th 30: 2 49/4 4337.652 cents 30: 2 40/3 4484.359 cents major 27th 30: 2 512/35 4644.860 cents septimal neutral seventh +3 octaves 30: 2 16/1 4800.000 cents 4 octaves 30: 2 448/25 4996.198 cents middle second +4 octaves 30: 2 64/3 5298.045 cents perfect 32nd 30: 2 160/7 5417.488 cents Euler's tritone +4 octaves 30: 2 128/5 5613.686 cents minor 34th 30: 2 192/7 5733.129 cents septimal major 34th 30: 4 28/1 5768.826 cents harmonic 35th 30: 2 1024/35 5844.860 cents septimal neutral seventh +4 octaves 30: 2 1536/49 5964.303 cents 30: 6 32/1 6000.000 cents 5 octaves 30: 1 1600/49 6034.976 cents Erlich's decatonic comma, tritonic diesis +5 octaves 31: 2 21/2 4070.781 cents narrow fourth +3 octaves 31: 2 32/3 4098.045 cents perfect 25th 31: 2 25/2 4372.627 cents classic augmented 26th 31: 6 14/1 4568.826 cents harmonic 28th 31: 2 320/21 4715.533 cents acute major seventh +3 octaves 31: 2 256/15 4911.731 cents minor diatonic semitone +4 octaves 31: 2 96/5 5115.641 cents minor 31st 31: 2 112/5 5382.512 cents septimal or Huygens' tritone, BP fourth +4 octaves 31: 2 512/21 5529.219 cents wide fifth +4 octaves 31: 2 80/3 5684.359 cents major 34th 31: 2 144/5 5817.596 cents minor 35th 31: 2 448/15 5880.557 cents grave major seventh +4 octaves 31: 2 1536/49 5964.303 cents 31: 4 32/1 6000.000 cents 5 octaves 31: 2 1152/35 6048.770 cents septimal diesis, 1/4-tone +5 octaves 31: 2 100/3 6070.672 cents classic chromatic semitone, minor chroma +5 octaves 31: 2 512/15 6111.731 cents minor diatonic semitone +5 octaves 31: 2 240/7 6119.443 cents major diatonic semitone +5 octaves 32: 2 12/1 4301.955 cents perfect 26th 32: 1 49/4 4337.652 cents 32: 2 40/3 4484.359 cents major 27th 32: 2 15/1 4688.269 cents classic major 28th 32: 4 16/1 4800.000 cents 4 octaves 32: 2 49/3 4835.697 cents slendro diesis, septimal 1/6-tone +4 octaves 32: 2 160/9 4982.404 cents minor whole tone +4 octaves 32: 2 512/25 5227.373 cents classic diminished 32nd 32: 2 24/1 5501.955 cents perfect 33rd 32: 2 128/5 5613.686 cents minor 34th 32: 2 256/9 5796.090 cents Pythagorean minor 35th 32: 2 30/1 5888.269 cents classic major 35th 32: 2 768/25 5929.328 cents classic diminished octave +4 octaves 32: 2 32/1 6000.000 cents 5 octaves 32: 2 168/5 6084.467 cents minor semitone +5 octaves 32: 2 240/7 6119.443 cents major diatonic semitone +5 octaves 32: 2 320/9 6182.404 cents minor whole tone +5 octaves 32: 1 36/1 6203.910 cents perfect 37th 32: 6 256/7 6231.174 cents harmonic 37th 33: 2 14/1 4568.826 cents harmonic 28th 33: 2 15/1 4688.269 cents classic major 28th 33: 2 16/1 4800.000 cents 4 octaves 33: 2 35/2 4955.140 cents septimal neutral second +4 octaves 33: 2 128/7 5031.174 cents harmonic 30th 33: 4 56/3 5066.871 cents minimal 31st 33: 2 64/3 5298.045 cents perfect 32nd 33: 2 128/5 5613.686 cents minor 34th 33: 2 192/7 5733.129 cents septimal major 34th 33: 2 448/15 5880.557 cents grave major seventh +4 octaves 33: 4 32/1 6000.000 cents 5 octaves 33: 2 1152/35 6048.770 cents septimal diesis, 1/4-tone +5 octaves 33: 2 35/1 6155.140 cents septimal neutral second +5 octaves 33: 2 256/7 6231.174 cents harmonic 37th 33: 2 112/3 6266.871 cents minimal 38th 33: 2 800/21 6301.847 cents BP second, quasi-equal minor third +5 octaves 33: 4 192/5 6315.641 cents minor 38th 33: 2 2048/49 6462.348 cents 2 septatones or septatonic major third +5 octaves 34: 1 16/1 4800.000 cents 4 octaves 34: 2 35/2 4955.140 cents septimal neutral second +4 octaves 34: 2 18/1 5003.910 cents perfect 30th 34: 2 56/3 5066.871 cents minimal 31st 34: 2 20/1 5186.314 cents major 31st 34: 4 64/3 5298.045 cents perfect 32nd 34: 2 112/5 5382.512 cents septimal or Huygens' tritone, BP fourth +4 octaves 34: 2 80/3 5684.359 cents major 34th 34: 2 1024/35 5844.860 cents septimal neutral seventh +4 octaves 34: 2 32/1 6000.000 cents 5 octaves 34: 2 168/5 6084.467 cents minor semitone +5 octaves 34: 2 512/15 6111.731 cents minor diatonic semitone +5 octaves 34: 2 240/7 6119.443 cents major diatonic semitone +5 octaves 34: 2 112/3 6266.871 cents minimal 38th 34: 2 192/5 6315.641 cents minor 38th 34: 2 1920/49 6350.617 cents smaller approximation to neutral third +5 octaves 34: 4 40/1 6386.314 cents major 38th 34: 1 1024/25 6427.373 cents classic diminished 39th 34: 2 128/3 6498.045 cents perfect 39th 34: 2 1536/35 6546.815 cents septimal semi-augmented fourth +5 octaves 35: 2 20/1 5186.314 cents major 31st 35: 4 21/1 5270.781 cents narrow fourth +4 octaves 35: 2 64/3 5298.045 cents perfect 32nd 35: 2 160/7 5417.488 cents Euler's tritone +4 octaves 35: 2 224/9 5564.916 cents septimal minor 34th 35: 2 128/5 5613.686 cents minor 34th 35: 2 28/1 5768.826 cents harmonic 35th 35: 2 640/21 5915.533 cents acute major seventh +4 octaves 35: 2 512/15 6111.731 cents minor diatonic semitone +5 octaves 35: 2 896/25 6196.198 cents middle second +5 octaves 35: 2 36/1 6203.910 cents perfect 37th 35: 2 256/7 6231.174 cents harmonic 37th 35: 4 40/1 6386.314 cents major 38th 35: 2 288/7 6435.084 cents septimal major 38th 35: 4 128/3 6498.045 cents perfect 39th 35: 2 1536/35 6546.815 cents septimal semi-augmented fourth +5 octaves 35: 2 224/5 6582.512 cents septimal or Huygens' tritone, BP fourth +5 octaves 35: 2 320/7 6617.488 cents Euler's tritone +5 octaves 36: 4 24/1 5501.955 cents perfect 33rd 36: 2 512/21 5529.219 cents wide fifth +4 octaves 36: 2 49/2 5537.652 cents 36: 1 25/1 5572.627 cents classic augmented 33rd 36: 2 80/3 5684.359 cents major 34th 36: 2 448/15 5880.557 cents grave major seventh +4 octaves 36: 4 32/1 6000.000 cents 5 octaves 36: 2 320/9 6182.404 cents minor whole tone +5 octaves 36: 6 192/5 6315.641 cents minor 38th 36: 2 42/1 6470.781 cents narrow fourth +5 octaves 36: 2 128/3 6498.045 cents perfect 39th 36: 2 1536/35 6546.815 cents septimal semi-augmented fourth +5 octaves 36: 1 400/9 6568.717 cents classic augmented 39th 36: 4 320/7 6617.488 cents Euler's tritone +5 octaves 36: 2 1152/25 6631.283 cents classic diminished 40th 36: 2 140/3 6653.185 cents septimal semi-diminished fifth +5 octaves 36: 2 1024/21 6729.219 cents wide fifth +5 octaves 37: 2 192/7 5733.129 cents septimal major 34th 37: 4 28/1 5768.826 cents harmonic 35th 37: 2 256/9 5796.090 cents Pythagorean minor 35th 37: 2 30/1 5888.269 cents classic major 35th 37: 2 32/1 6000.000 cents 5 octaves 37: 2 256/7 6231.174 cents harmonic 37th 37: 4 112/3 6266.871 cents minimal 38th 37: 2 40/1 6386.314 cents major 38th 37: 2 1024/25 6427.373 cents classic diminished 39th 37: 2 288/7 6435.084 cents septimal major 38th 37: 4 224/5 6582.512 cents septimal or Huygens' tritone, BP fourth +5 octaves 37: 2 320/7 6617.488 cents Euler's tritone +5 octaves 37: 6 48/1 6701.955 cents perfect 40th 37: 2 1024/21 6729.219 cents wide fifth +5 octaves 37: 2 448/9 6764.916 cents septimal minor 41st 37: 2 2560/49 6848.662 cents smaller approximation to neutral sixth +5 octaves 38: 6 32/1 6000.000 cents 5 octaves 38: 2 512/15 6111.731 cents minor diatonic semitone +5 octaves 38: 2 35/1 6155.140 cents septimal neutral second +5 octaves 38: 1 36/1 6203.910 cents perfect 37th 38: 2 40/1 6386.314 cents major 38th 38: 2 42/1 6470.781 cents narrow fourth +5 octaves 38: 6 128/3 6498.045 cents perfect 39th 38: 2 1536/35 6546.815 cents septimal semi-augmented fourth +5 octaves 38: 2 140/3 6653.185 cents septimal semi-diminished fifth +5 octaves 38: 1 2304/49 6666.258 cents Arabic lute grave fifth +5 octaves 38: 2 48/1 6701.955 cents perfect 40th 38: 2 50/1 6772.627 cents classic augmented 40th 38: 8 256/5 6813.686 cents minor 41st 38: 2 160/3 6884.359 cents major 41st 38: 2 384/7 6933.129 cents septimal major 41st 39: 2 256/7 6231.174 cents harmonic 37th 39: 2 112/3 6266.871 cents minimal 38th 39: 2 192/5 6315.641 cents minor 38th 39: 2 40/1 6386.314 cents major 38th 39: 2 42/1 6470.781 cents narrow fourth +5 octaves 39: 2 128/3 6498.045 cents perfect 39th 39: 2 224/5 6582.512 cents septimal or Huygens' tritone, BP fourth +5 octaves 39: 4 320/7 6617.488 cents Euler's tritone +5 octaves 39: 4 48/1 6701.955 cents perfect 40th 39: 2 448/9 6764.916 cents septimal minor 41st 39: 2 256/5 6813.686 cents minor 41st 39: 6 160/3 6884.359 cents major 41st 39: 2 1344/25 6898.153 cents quasi-equal major sixth +5 octaves 39: 4 384/7 6933.129 cents septimal major 41st 39: 2 56/1 6968.826 cents harmonic 42nd 39: 2 2048/35 7044.860 cents septimal neutral seventh +5 octaves 40: 2 128/3 6498.045 cents perfect 39th 40: 2 224/5 6582.512 cents septimal or Huygens' tritone, BP fourth +5 octaves 40: 2 320/7 6617.488 cents Euler's tritone +5 octaves 40: 6 48/1 6701.955 cents perfect 40th 40: 2 1024/21 6729.219 cents wide fifth +5 octaves 40: 2 49/1 6737.652 cents 40: 2 256/5 6813.686 cents minor 41st 40: 4 160/3 6884.359 cents major 41st 40: 2 384/7 6933.129 cents septimal major 41st 40: 4 56/1 6968.826 cents harmonic 42nd 40: 2 512/9 6996.090 cents Pythagorean minor 42nd 40: 2 400/7 7003.802 cents middle minor seventh +5 octaves 40: 4 288/5 7017.596 cents minor 42nd 40: 2 2048/35 7044.860 cents septimal neutral seventh +5 octaves 40: 2 896/15 7080.557 cents grave major seventh +5 octaves 40: 2 1280/21 7115.533 cents acute major seventh +5 octaves 41: 2 256/5 6813.686 cents minor 41st 41: 2 160/3 6884.359 cents major 41st 41: 6 384/7 6933.129 cents septimal major 41st 41: 8 56/1 6968.826 cents harmonic 42nd 41: 2 512/9 6996.090 cents Pythagorean minor 42nd 41: 4 896/15 7080.557 cents grave major seventh +5 octaves 41: 6 60/1 7088.269 cents classic major 42nd 41: 4 1280/21 7115.533 cents acute major seventh +5 octaves 41: 4 1536/25 7129.328 cents classic diminished octave +5 octaves 41: 2 560/9 7151.230 cents septimal semi-diminished octave +5 octaves 41: 2 3072/49 7164.303 cents Highest number of different intervals for one interval class: 22 Average number of different intervals per interval class: 18.07317 = 741/41
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 0.0 : 231.2 498.0 813.7 1200.0 1431.2 1698.0 1902.0 2013.7 2133.1 2400.0 2631.2 2715.6 2786.3 2898.0 3017.5 3102.0 3213.7 3284.4 3333.1 3368.8 3600.0 3831.2 3866.9 3915.6 3986.3 4098.0 4182.5 4302.0 4413.7 4484.4 4568.8 4800.0 5066.9 5186.3 5298.0 5502.0 5768.8 6000.0 6386.3 6702.0 6968.8 7200.0 231.2 : 266.9 582.5 968.8 1200.0 1466.9 1670.8 1782.5 1902.0 2168.8 2400.0 2484.5 2555.1 2666.9 2786.3 2870.8 2982.5 3053.2 3102.0 3137.7 3368.8 3600.0 3635.7 3684.5 3755.1 3866.9 3951.3 4070.8 4182.5 4253.2 4337.7 4568.8 4835.7 4955.1 5066.9 5270.8 5537.7 5768.8 6155.1 6470.8 6737.7 6968.8 7200.0 498.0 : 315.6 702.0 933.1 1200.0 1403.9 1515.6 1635.1 1902.0 2133.1 2217.6 2288.3 2400.0 2519.4 2603.9 2715.6 2786.3 2835.1 2870.8 3102.0 3333.1 3368.8 3417.6 3488.3 3600.0 3684.5 3803.9 3915.6 3986.3 4070.8 4302.0 4568.8 4688.3 4800.0 5003.9 5270.8 5502.0 5888.3 6203.9 6470.8 6702.0 6933.1 7200.0 813.7 : 386.3 617.5 884.4 1088.3 1200.0 1319.4 1586.3 1817.5 1902.0 1972.6 2084.4 2203.8 2288.3 2400.0 2470.7 2519.4 2555.1 2786.3 3017.5 3053.2 3102.0 3172.6 3284.4 3368.8 3488.3 3600.0 3670.7 3755.1 3986.3 4253.2 4372.6 4484.4 4688.3 4955.1 5186.3 5572.6 5888.3 6155.1 6386.3 6617.5 6884.4 7200.0 1200.0: 231.2 498.0 702.0 813.7 933.1 1200.0 1431.2 1515.6 1586.3 1698.0 1817.5 1902.0 2013.7 2084.4 2133.1 2168.8 2400.0 2631.2 2666.9 2715.6 2786.3 2898.0 2982.5 3102.0 3213.7 3284.4 3368.8 3600.0 3866.9 3986.3 4098.0 4302.0 4568.8 4800.0 5186.3 5502.0 5768.8 6000.0 6231.2 6498.0 6813.7 7200.0 1431.2: 266.9 470.8 582.5 702.0 968.8 1200.0 1284.5 1355.1 1466.9 1586.3 1670.8 1782.5 1853.2 1902.0 1937.7 2168.8 2400.0 2435.7 2484.5 2555.1 2666.9 2751.3 2870.8 2982.5 3053.2 3137.7 3368.8 3635.7 3755.1 3866.9 4070.8 4337.7 4568.8 4955.1 5270.8 5537.7 5768.8 6000.0 6266.9 6582.5 6968.8 7200.0 1698.0: 203.9 315.6 435.1 702.0 933.1 1017.6 1088.3 1200.0 1319.4 1403.9 1515.6 1586.3 1635.1 1670.8 1902.0 2133.1 2168.8 2217.6 2288.3 2400.0 2484.5 2603.9 2715.6 2786.3 2870.8 3102.0 3368.8 3488.3 3600.0 3803.9 4070.8 4302.0 4688.3 5003.9 5270.8 5502.0 5733.1 6000.0 6315.6 6702.0 6933.1 7200.0 1902.0: 111.7 231.2 498.0 729.2 813.7 884.4 996.1 1115.5 1200.0 1311.7 1382.4 1431.2 1466.9 1698.0 1929.2 1964.9 2013.7 2084.4 2196.1 2280.6 2400.0 2511.7 2582.4 2666.9 2898.0 3164.9 3284.4 3396.1 3600.0 3866.9 4098.0 4484.4 4800.0 5066.9 5298.0 5529.2 5796.1 6111.7 6498.0 6729.2 6996.1 7200.0 2013.7: 119.4 386.3 617.5 702.0 772.6 884.4 1003.8 1088.3 1200.0 1270.7 1319.4 1355.1 1586.3 1817.5 1853.2 1902.0 1972.6 2084.4 2168.8 2288.3 2400.0 2470.7 2555.1 2786.3 3053.2 3172.6 3284.4 3488.3 3755.1 3986.3 4372.6 4688.3 4955.1 5186.3 5417.5 5684.4 6000.0 6386.3 6617.5 6884.4 7088.3 7200.0 2133.1: 266.9 498.0 582.5 653.2 764.9 884.4 968.8 1080.6 1151.2 1200.0 1235.7 1466.9 1698.0 1733.7 1782.5 1853.2 1964.9 2049.4 2168.8 2280.6 2351.2 2435.7 2666.9 2933.7 3053.2 3164.9 3368.8 3635.7 3866.9 4253.2 4568.8 4835.7 5066.9 5298.0 5564.9 5880.6 6266.9 6498.0 6764.9 6968.8 7080.6 7200.0 2400.0: 231.2 315.6 386.3 498.0 617.5 702.0 813.7 884.4 933.1 968.8 1200.0 1431.2 1466.9 1515.6 1586.3 1698.0 1782.5 1902.0 2013.7 2084.4 2168.8 2400.0 2666.9 2786.3 2898.0 3102.0 3368.8 3600.0 3986.3 4302.0 4568.8 4800.0 5031.2 5298.0 5613.7 6000.0 6231.2 6498.0 6702.0 6813.7 6933.1 7200.0 2631.2: 84.5 155.1 266.9 386.3 470.8 582.5 653.2 702.0 737.7 968.8 1200.0 1235.7 1284.5 1355.1 1466.9 1551.3 1670.8 1782.5 1853.2 1937.7 2168.8 2435.7 2555.1 2666.9 2870.8 3137.7 3368.8 3755.1 4070.8 4337.7 4568.8 4800.0 5066.9 5382.5 5768.8 6000.0 6266.9 6470.8 6582.5 6702.0 6968.8 7200.0 2715.6: 70.7 182.4 301.8 386.3 498.0 568.7 617.5 653.2 884.4 1115.5 1151.2 1200.0 1270.7 1382.4 1466.9 1586.3 1698.0 1768.7 1853.2 2084.4 2351.2 2470.7 2582.4 2786.3 3053.2 3284.4 3670.7 3986.3 4253.2 4484.4 4715.5 4982.4 5298.0 5684.4 5915.5 6182.4 6386.3 6498.0 6617.5 6884.4 7115.5 7200.0 2786.3: 111.7 231.2 315.6 427.4 498.0 546.8 582.5 813.7 1044.9 1080.6 1129.3 1200.0 1311.7 1396.2 1515.6 1627.4 1698.0 1782.5 2013.7 2280.6 2400.0 2511.7 2715.6 2982.5 3213.7 3600.0 3915.6 4182.5 4413.7 4644.9 4911.7 5227.4 5613.7 5844.9 6111.7 6315.6 6427.4 6546.8 6813.7 7044.9 7129.3 7200.0 2898.0: 119.4 203.9 315.6 386.3 435.1 470.8 702.0 933.1 968.8 1017.6 1088.3 1200.0 1284.5 1403.9 1515.6 1586.3 1670.8 1902.0 2168.8 2288.3 2400.0 2603.9 2870.8 3102.0 3488.3 3803.9 4070.8 4302.0 4533.1 4800.0 5115.6 5502.0 5733.1 6000.0 6203.9 6315.6 6435.1 6702.0 6933.1 7017.6 7088.3 7200.0 3017.5: 84.5 196.2 266.9 315.6 351.3 582.5 813.7 849.4 898.2 968.8 1080.6 1165.0 1284.5 1396.2 1466.9 1551.3 1782.5 2049.4 2168.8 2280.6 2484.5 2751.3 2982.5 3368.8 3684.5 3951.3 4182.5 4413.7 4680.6 4996.2 5382.5 5613.7 5880.6 6084.5 6196.2 6315.6 6582.5 6813.7 6898.2 6968.8 7080.6 7200.0 3102.0: 111.7 182.4 231.2 266.9 498.0 729.2 764.9 813.7 884.4 996.1 1080.6 1200.0 1311.7 1382.4 1466.9 1698.0 1964.9 2084.4 2196.1 2400.0 2666.9 2898.0 3284.4 3600.0 3866.9 4098.0 4329.2 4596.1 4911.7 5298.0 5529.2 5796.1 6000.0 6111.7 6231.2 6498.0 6729.2 6813.7 6884.4 6996.1 7115.5 7200.0 3213.7: 70.7 119.4 155.1 386.3 617.5 653.2 702.0 772.6 884.4 968.8 1088.3 1200.0 1270.7 1355.1 1586.3 1853.2 1972.6 2084.4 2288.3 2555.1 2786.3 3172.6 3488.3 3755.1 3986.3 4217.5 4484.4 4800.0 5186.3 5417.5 5684.4 5888.3 6000.0 6119.4 6386.3 6617.5 6702.0 6772.6 6884.4 7003.8 7088.3 7200.0 3284.4: 48.8 84.5 315.6 546.8 582.5 631.3 702.0 813.7 898.2 1017.6 1129.3 1200.0 1284.5 1515.6 1782.5 1902.0 2013.7 2217.6 2484.5 2715.6 3102.0 3417.6 3684.5 3915.6 4146.8 4413.7 4729.3 5115.6 5346.8 5613.7 5817.6 5929.3 6048.8 6315.6 6546.8 6631.3 6702.0 6813.7 6933.1 7017.6 7129.3 7200.0 3333.1: 35.7 266.9 498.0 533.7 582.5 653.2 764.9 849.4 968.8 1080.6 1151.2 1235.7 1466.9 1733.7 1853.2 1964.9 2168.8 2435.7 2666.9 3053.2 3368.8 3635.7 3866.9 4098.0 4364.9 4680.6 5066.9 5298.0 5564.9 5768.8 5880.6 6000.0 6266.9 6498.0 6582.5 6653.2 6764.9 6884.4 6968.8 7080.6 7151.2 7200.0 3368.8: 231.2 462.3 498.0 546.8 617.5 729.2 813.7 933.1 1044.9 1115.5 1200.0 1431.2 1698.0 1817.5 1929.2 2133.1 2400.0 2631.2 3017.5 3333.1 3600.0 3831.2 4062.3 4329.2 4644.9 5031.2 5262.3 5529.2 5733.1 5844.9 5964.3 6231.2 6462.3 6546.8 6617.5 6729.2 6848.7 6933.1 7044.9 7115.5 7164.3 7200.0 3600.0: 231.2 266.9 315.6 386.3 498.0 582.5 702.0 813.7 884.4 968.8 1200.0 1466.9 1586.3 1698.0 1902.0 2168.8 2400.0 2786.3 3102.0 3368.8 3600.0 3831.2 4098.0 4413.7 4800.0 5031.2 5298.0 5502.0 5613.7 5733.1 6000.0 6231.2 6315.6 6386.3 6498.0 6617.5 6702.0 6813.7 6884.4 6933.1 6968.8 7200.0 3831.2: 35.7 84.5 155.1 266.9 351.3 470.8 582.5 653.2 737.7 968.8 1235.7 1355.1 1466.9 1670.8 1937.7 2168.8 2555.1 2870.8 3137.7 3368.8 3600.0 3866.9 4182.5 4568.8 4800.0 5066.9 5270.8 5382.5 5502.0 5768.8 6000.0 6084.5 6155.1 6266.9 6386.3 6470.8 6582.5 6653.2 6702.0 6737.7 6968.8 7200.0 3866.9: 48.8 119.4 231.2 315.6 435.1 546.8 617.5 702.0 933.1 1200.0 1319.4 1431.2 1635.1 1902.0 2133.1 2519.4 2835.1 3102.0 3333.1 3564.3 3831.2 4146.8 4533.1 4764.3 5031.2 5235.1 5346.8 5466.3 5733.1 5964.3 6048.8 6119.4 6231.2 6350.6 6435.1 6546.8 6617.5 6666.3 6702.0 6933.1 7164.3 7200.0 3915.6: 70.7 182.4 266.9 386.3 498.0 568.7 653.2 884.4 1151.2 1270.7 1382.4 1586.3 1853.2 2084.4 2470.7 2786.3 3053.2 3284.4 3515.5 3782.4 4098.0 4484.4 4715.5 4982.4 5186.3 5298.0 5417.5 5684.4 5915.5 6000.0 6070.7 6182.4 6301.8 6386.3 6498.0 6568.7 6617.5 6653.2 6884.4 7115.5 7151.2 7200.0 3986.3: 111.7 196.2 315.6 427.4 498.0 582.5 813.7 1080.6 1200.0 1311.7 1515.6 1782.5 2013.7 2400.0 2715.6 2982.5 3213.7 3444.9 3711.7 4027.4 4413.7 4644.9 4911.7 5115.6 5227.4 5346.8 5613.7 5844.9 5929.3 6000.0 6111.7 6231.2 6315.6 6427.4 6498.0 6546.8 6582.5 6813.7 7044.9 7080.6 7129.3 7200.0 4098.0: 84.5 203.9 315.6 386.3 470.8 702.0 968.8 1088.3 1200.0 1403.9 1670.8 1902.0 2288.3 2603.9 2870.8 3102.0 3333.1 3600.0 3915.6 4302.0 4533.1 4800.0 5003.9 5115.6 5235.1 5502.0 5733.1 5817.6 5888.3 6000.0 6119.4 6203.9 6315.6 6386.3 6435.1 6470.8 6702.0 6933.1 6968.8 7017.6 7088.3 7200.0 4182.5: 119.4 231.2 301.8 386.3 617.5 884.4 1003.8 1115.5 1319.4 1586.3 1817.5 2203.8 2519.4 2786.3 3017.5 3248.7 3515.5 3831.2 4217.5 4448.7 4715.5 4919.4 5031.2 5150.6 5417.5 5648.7 5733.1 5803.8 5915.5 6035.0 6119.4 6231.2 6301.8 6350.6 6386.3 6617.5 6848.7 6884.4 6933.1 7003.8 7115.5 7200.0 4302.0: 111.7 182.4 266.9 498.0 764.9 884.4 996.1 1200.0 1466.9 1698.0 2084.4 2400.0 2666.9 2898.0 3129.2 3396.1 3711.7 4098.0 4329.2 4596.1 4800.0 4911.7 5031.2 5298.0 5529.2 5613.7 5684.4 5796.1 5915.5 6000.0 6111.7 6182.4 6231.2 6266.9 6498.0 6729.2 6764.9 6813.7 6884.4 6996.1 7080.6 7200.0 4413.7: 70.7 155.1 386.3 653.2 772.6 884.4 1088.3 1355.1 1586.3 1972.6 2288.3 2555.1 2786.3 3017.5 3284.4 3600.0 3986.3 4217.5 4484.4 4688.3 4800.0 4919.4 5186.3 5417.5 5502.0 5572.6 5684.4 5803.8 5888.3 6000.0 6070.7 6119.4 6155.1 6386.3 6617.5 6653.2 6702.0 6772.6 6884.4 6968.8 7088.3 7200.0 4484.4: 84.5 315.6 582.5 702.0 813.7 1017.6 1284.5 1515.6 1902.0 2217.6 2484.5 2715.6 2946.8 3213.7 3529.3 3915.6 4146.8 4413.7 4617.6 4729.3 4848.8 5115.6 5346.8 5431.3 5502.0 5613.7 5733.1 5817.6 5929.3 6000.0 6048.8 6084.5 6315.6 6546.8 6582.5 6631.3 6702.0 6813.7 6898.2 7017.6 7129.3 7200.0 4568.8: 231.2 498.0 617.5 729.2 933.1 1200.0 1431.2 1817.5 2133.1 2400.0 2631.2 2862.3 3129.2 3444.9 3831.2 4062.3 4329.2 4533.1 4644.9 4764.3 5031.2 5262.3 5346.8 5417.5 5529.2 5648.7 5733.1 5844.9 5915.5 5964.3 6000.0 6231.2 6462.3 6498.0 6546.8 6617.5 6729.2 6813.7 6933.1 7044.9 7115.5 7200.0 4800.0: 266.9 386.3 498.0 702.0 968.8 1200.0 1586.3 1902.0 2168.8 2400.0 2631.2 2898.0 3213.7 3600.0 3831.2 4098.0 4302.0 4413.7 4533.1 4800.0 5031.2 5115.6 5186.3 5298.0 5417.5 5502.0 5613.7 5684.4 5733.1 5768.8 6000.0 6231.2 6266.9 6315.6 6386.3 6498.0 6582.5 6702.0 6813.7 6884.4 6968.8 7200.0 5066.9: 119.4 231.2 435.1 702.0 933.1 1319.4 1635.1 1902.0 2133.1 2364.3 2631.2 2946.8 3333.1 3564.3 3831.2 4035.1 4146.8 4266.3 4533.1 4764.3 4848.8 4919.4 5031.2 5150.6 5235.1 5346.8 5417.5 5466.3 5502.0 5733.1 5964.3 6000.0 6048.8 6119.4 6231.2 6315.6 6435.1 6546.8 6617.5 6702.0 6933.1 7200.0 5186.3: 111.7 315.6 582.5 813.7 1200.0 1515.6 1782.5 2013.7 2244.9 2511.7 2827.4 3213.7 3444.9 3711.7 3915.6 4027.4 4146.8 4413.7 4644.9 4729.3 4800.0 4911.7 5031.2 5115.6 5227.4 5298.0 5346.8 5382.5 5613.7 5844.9 5880.6 5929.3 6000.0 6111.7 6196.2 6315.6 6427.4 6498.0 6582.5 6813.7 7080.6 7200.0 5298.0: 203.9 470.8 702.0 1088.3 1403.9 1670.8 1902.0 2133.1 2400.0 2715.6 3102.0 3333.1 3600.0 3803.9 3915.6 4035.1 4302.0 4533.1 4617.6 4688.3 4800.0 4919.4 5003.9 5115.6 5186.3 5235.1 5270.8 5502.0 5733.1 5768.8 5817.6 5888.3 6000.0 6084.5 6203.9 6315.6 6386.3 6470.8 6702.0 6968.8 7088.3 7200.0 5502.0: 266.9 498.0 884.4 1200.0 1466.9 1698.0 1929.2 2196.1 2511.7 2898.0 3129.2 3396.1 3600.0 3711.7 3831.2 4098.0 4329.2 4413.7 4484.4 4596.1 4715.5 4800.0 4911.7 4982.4 5031.2 5066.9 5298.0 5529.2 5564.9 5613.7 5684.4 5796.1 5880.6 6000.0 6111.7 6182.4 6266.9 6498.0 6764.9 6884.4 6996.1 7200.0 5768.8: 231.2 617.5 933.1 1200.0 1431.2 1662.3 1929.2 2244.9 2631.2 2862.3 3129.2 3333.1 3444.9 3564.3 3831.2 4062.3 4146.8 4217.5 4329.2 4448.7 4533.1 4644.9 4715.5 4764.3 4800.0 5031.2 5262.3 5298.0 5346.8 5417.5 5529.2 5613.7 5733.1 5844.9 5915.5 6000.0 6231.2 6498.0 6617.5 6729.2 6933.1 7200.0 6000.0: 386.3 702.0 968.8 1200.0 1431.2 1698.0 2013.7 2400.0 2631.2 2898.0 3102.0 3213.7 3333.1 3600.0 3831.2 3915.6 3986.3 4098.0 4217.5 4302.0 4413.7 4484.4 4533.1 4568.8 4800.0 5031.2 5066.9 5115.6 5186.3 5298.0 5382.5 5502.0 5613.7 5684.4 5768.8 6000.0 6266.9 6386.3 6498.0 6702.0 6968.8 7200.0 6386.3: 315.6 582.5 813.7 1044.9 1311.7 1627.4 2013.7 2244.9 2511.7 2715.6 2827.4 2946.8 3213.7 3444.9 3529.3 3600.0 3711.7 3831.2 3915.6 4027.4 4098.0 4146.8 4182.5 4413.7 4644.9 4680.6 4729.3 4800.0 4911.7 4996.2 5115.6 5227.4 5298.0 5382.5 5613.7 5880.6 6000.0 6111.7 6315.6 6582.5 6813.7 7200.0 6702.0: 266.9 498.0 729.2 996.1 1311.7 1698.0 1929.2 2196.1 2400.0 2511.7 2631.2 2898.0 3129.2 3213.7 3284.4 3396.1 3515.5 3600.0 3711.7 3782.4 3831.2 3866.9 4098.0 4329.2 4364.9 4413.7 4484.4 4596.1 4680.6 4800.0 4911.7 4982.4 5066.9 5298.0 5564.9 5684.4 5796.1 6000.0 6266.9 6498.0 6884.4 7200.0 6968.8: 231.2 462.3 729.2 1044.9 1431.2 1662.3 1929.2 2133.1 2244.9 2364.3 2631.2 2862.3 2946.8 3017.5 3129.2 3248.7 3333.1 3444.9 3515.5 3564.3 3600.0 3831.2 4062.3 4098.0 4146.8 4217.5 4329.2 4413.7 4533.1 4644.9 4715.5 4800.0 5031.2 5298.0 5417.5 5529.2 5733.1 6000.0 6231.2 6617.5 6933.1 7200.0 7200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 35.6968 .. 386.3137 cents 60/49, 350.6169 cents 49/48, 35.6968 cents 2: 84.4672 .. 701.9550 cents 10/7, 617.4878 cents 21/25,-301.8465 cents 3: 155.1396 .. 968.8259 cents 8/5, 813.6863 cents 35/48,-546.8154 cents 4: 266.8709 .. 1200.0000 cents 12/7, 933.1291 cents 2/3,-701.9550 cents 5: 351.3381 .. 1466.8709 cents 40/21, 1115.5328 cents 49/80,-848.6619 cents 6: 470.7809 .. 1698.0450 cents 128/63, 1227.2641 cents 9/16,-996.0900 cents 7: 582.5122 .. 2013.6863 cents 16/7, 1431.1741 cents 21/40,-1115.5328 cents 8: 653.1846 .. 2400.0000 cents 96/35, 1746.8154 cents 175/384,-1360.5017 cents 9: 737.6518 .. 2631.1741 cents 1024/343, 1893.5223 cents 49/128,-1662.3482 cents 10: 968.8259 .. 2898.0450 cents 64/21, 1929.2191 cents 49/128,-1662.3482 cents 11: 1080.5572 .. 3129.2191 cents 160/49, 2048.6619 cents 7/20,-1817.4878 cents 12: 1165.0244 .. 3396.0900 cents 1600/441, 2231.0656 cents 1029/3200,-1964.1947 cents 13: 1270.6724 .. 3600.0000 cents 96/25, 2329.3276 cents 75/256,-2125.4176 cents 14: 1355.1396 .. 3803.9100 cents 144/35, 2448.7704 cents 35/128,-2244.8604 cents 15: 1466.8709 .. 3915.6413 cents 144/35, 2448.7704 cents 7/27,-2337.0391 cents 16: 1551.3381 .. 4098.0450 cents 640/147, 2546.7069 cents 49/192,-2364.3032 cents 17: 1670.7809 .. 4329.2191 cents 2048/441, 2658.4382 cents 63/256,-2427.2641 cents 18: 1768.7174 .. 4533.1291 cents 864/175, 2764.4117 cents 175/768,-2560.5017 cents 19: 1853.1846 .. 4644.8604 cents 6144/1225, 2791.6758 cents 245/1152,-2679.9445 cents 20: 1937.6518 .. 4800.0000 cents 256/49, 2862.3482 cents 1715/8192,-2707.2086 cents 21: 2168.8259 .. 5031.1741 cents 256/49, 2862.3482 cents 7/32,-2631.1741 cents 22: 2400.0000 .. 5262.3482 cents 256/49, 2862.3482 cents 7/32,-2631.1741 cents 23: 2555.1396 .. 5346.8154 cents 6144/1225, 2791.6758 cents 1715/8192,-2707.2086 cents 24: 2666.8709 .. 5431.2826 cents 864/175, 2764.4117 cents 245/1152,-2679.9445 cents 25: 2870.7809 .. 5529.2191 cents 2048/441, 2658.4382 cents 175/768,-2560.5017 cents 26: 3101.9550 .. 5648.6619 cents 640/147, 2546.7069 cents 63/256,-2427.2641 cents 27: 3284.3587 .. 5733.1291 cents 144/35, 2448.7704 cents 49/192,-2364.3032 cents 28: 3396.0900 .. 5844.8604 cents 144/35, 2448.7704 cents 7/27,-2337.0391 cents 29: 3600.0000 .. 5929.3276 cents 96/25, 2329.3276 cents 35/128,-2244.8604 cents 30: 3803.9100 .. 6034.9756 cents 1600/441, 2231.0656 cents 75/256,-2125.4176 cents 31: 4070.7809 .. 6119.4428 cents 160/49, 2048.6619 cents 1029/3200,-1964.1947 cents 32: 4301.9550 .. 6231.1741 cents 64/21, 1929.2191 cents 7/20,-1817.4878 cents 33: 4568.8259 .. 6462.3482 cents 1024/343, 1893.5223 cents 49/128,-1662.3482 cents 34: 4800.0000 .. 6546.8154 cents 96/35, 1746.8154 cents 49/128,-1662.3482 cents 35: 5186.3137 .. 6617.4878 cents 16/7, 1431.1741 cents 175/384,-1360.5017 cents 36: 5501.9550 .. 6729.2191 cents 128/63, 1227.2641 cents 21/40,-1115.5328 cents 37: 5733.1291 .. 6848.6619 cents 40/21, 1115.5328 cents 9/16,-996.0900 cents 38: 6000.0000 .. 6933.1291 cents 12/7, 933.1291 cents 49/80,-848.6619 cents 39: 6231.1741 .. 7044.8604 cents 8/5, 813.6863 cents 2/3,-701.9550 cents 40: 6498.0450 .. 7115.5328 cents 10/7, 617.4878 cents 35/48,-546.8154 cents 41: 6813.6863 .. 7164.3032 cents 60/49, 350.6169 cents 21/25,-301.8465 cents
SHOW DATA
Number of notes : 42 -- Interval properties -- Smallest interval : 49/48, 35.6968 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 5/4, 386.3137 cents Average / Smallest step : 4.802350 Largest / Average step : 2.253497 Largest / Smallest step : 10.822079 Median interval of one step : 15/14, 119.4428 cents, amount: 4 Most common interval of one step : 8/7, 231.1741 cents, amount: 8 Least squares average step : 163.76846 cents, oct.: 6878.27545 cents Scale is not proper Step pattern alph. order: ABCDABEFGBAHIFGHFIJKAAKJIFHGFIHABGFEBADCBA Step pattern size order : HIJKHIGEFIHDCEFDECBAHHABCEDFECDHIFEGIHKJIH Scale is not a Constant Structure Scale diversity :-0.861777 Lumma stability : 0.009916 Lumma impropriety factor : 0.976537 Number of different interval sizes : 267 = 6.51220 / class Number of one step interval sizes : 11 Highest interval variety : 22 Mean interval variety : 18.07317 = 741/41 Median interval variety : 11 Lowest interval variety : 11 Smallest interval difference : 225/224, 7.7115 cents Most common intervals : 2/1, 1200.0000 cents & inv., amount: 30 Most common triad is 0.0 1200.000 6000.000 cents, amount: 20 Number of recognisable fifths : 18, average 701.9550 cents Number of recognisable fourths : 18, average 498.0450 cents Scale contains two identical disjunct "tetrachords" of 3 notes Scale contains a complete diamond : 1 3 5 7 All steps are superparticular (epimoric) Length of longest harmonic part : 4 at degree 38 Length of longest subharmonic part : 4 at degree 0 Formal octave complements present : 42 = 100.0000% 2/1 octave complements present : 1 = 2.3810% Scale is differentially coherent in interval class 1 Inversional symmetry on degrees : 0 21 -- Rational properties -- Prime limit : 7 Odd number limit : 49 (O: 49 U: 49) Highest odd numerator or denominator: 7 Scale harmonicity : 0.022369 Average absolute harmonicity : 0.157448 Specific harmonicity : 0.157313 Fundamental : 1/105, -6.7142 octaves, 2.4917 Hz. Guide tone : 6720, 12.7142 octaves, 1758123.799 Hz. Exponens Consonantiae : 7.056000E+05, 19.42849 octaves Euler's gradus suavitatis : 31 Sum of Mann's harmonic distance : 638.5, average 15.20238 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 24.99023, average 0.59501 Sum of Tenney's harmonic distance : 69.03800, average 1.64376 Vogel's harmonic complexity : 18.07143 Wille's k value : 367 Wilson's harmonic complexity : 30 Rectangular lattice diameter : 6 Triangular lattice diameter : 2 Lattice compactness : 2300.80034, average 2.54795 Lattice compactness (without 2's) : 1229.32013, average 1.36137 Number of different primes : 4 Prime exponents' range, average, count, tones@limit: 2: 0 .. 6 3.07143 129 6 3: -1 .. 1 0.00000 18 10 5: -1 .. 1 0.00000 14 12 7: -1 .. 1 0.00000 14 14 Average exponent except 2's : 0 / 42 = 0.00000 Average absolute exponent except 2's: 46 / 42 = 1.09524
FIT/MODE
42: 1 2 2 2 1 2 1 1 0 2 1 1 0 1 1 0 1 0 0 1 1 1 1 0 0 1 0 1 1 0 1 1 2 0 1 1 2 1 2 2 2 1 N I SD: 44.0967 c. M: 75.9862 c. 44: 1 2 2 2 2 1 2 0 1 2 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 2 1 0 2 1 2 2 2 2 1 N I SD: 46.9775 c. M: 72.0333 c. 46: 1 2 2 3 1 2 1 1 1 1 2 0 1 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 1 1 0 2 1 1 1 1 2 1 3 2 2 1 N I SD: 46.1082 c. M:-75.8680 c. 47: 2 1 2 3 1 2 1 1 1 2 1 1 0 1 1 0 1 0 1 0 2 1 0 1 0 1 0 1 1 0 1 1 2 1 1 1 2 1 3 2 2 1 N SD: 41.6359 c. M:-77.9826 c. 50: 2 1 3 2 2 2 1 1 1 2 1 1 0 1 1 1 0 1 0 0 2 2 0 0 1 0 1 1 1 0 1 1 2 1 1 1 2 2 2 3 1 2 N I SD: 39.6820 c. M: 66.0450 c. 54: 2 2 2 3 2 2 1 1 1 2 2 0 1 1 1 0 1 1 0 0 2 2 0 0 1 1 0 1 1 1 0 2 2 1 1 1 2 2 3 2 2 2 N I SD: 30.2609 c. M: 49.1789 c. 60: 2 2 3 3 2 2 2 1 1 2 2 1 0 1 1 1 1 0 1 0 2 2 0 1 0 1 1 1 1 0 1 2 2 1 1 2 2 2 3 3 2 2 N I SD: 22.2482 c. M:-44.3587 c. 72: 2 3 3 4 2 3 2 1 1 3 2 1 1 1 1 1 1 1 0 1 2 2 1 0 1 1 1 1 1 1 1 2 3 1 1 2 3 2 4 3 3 2 N I SD: 19.0811 c. M:-33.1291 c. 90: 3 3 4 5 3 3 3 1 2 3 3 1 1 1 2 1 1 1 1 0 3 3 0 1 1 1 1 2 1 1 1 3 3 2 1 3 3 3 5 4 3 3 N I SD: 14.9250 c. M:-26.8709 c. 112: 4 4 5 6 3 4 4 1 2 4 4 1 1 2 2 1 2 1 1 0 4 4 0 1 1 2 1 2 2 1 1 4 4 2 1 4 4 3 6 5 4 4 N I SD: 17.5583 c. M: 26.6164 c. 114: 4 4 5 6 4 4 3 2 2 4 4 1 1 2 2 1 2 1 1 0 4 4 0 1 1 2 1 2 2 1 1 4 4 2 2 3 4 4 6 5 4 4 N I SD: 11.7987 c. M: 21.4575 c. 132: 4 5 6 7 4 5 4 2 2 5 4 2 1 2 2 2 2 1 1 1 4 4 1 1 1 2 2 2 2 1 2 4 5 2 2 4 5 4 7 6 5 4 N I SD: 8.8792 c. M: 17.4878 c. 162: 5 6 7 9 5 6 5 2 3 6 5 2 2 2 3 2 2 2 1 1 5 5 1 1 2 2 2 3 2 2 2 5 6 3 2 5 6 5 9 7 6 5 N I SD: 8.5982 c. M: 13.6863 c. 186: 6 7 8 10 6 7 5 3 3 7 6 2 2 3 3 2 3 2 1 1 6 6 1 1 2 3 2 3 3 2 2 6 7 3 3 5 7 6 10 8 7 6 N I SD: 3.4472 c. M: 5.9639 c. 318: 10 12 14 17 10 12 9 5 5 12 10 4 3 5 5 4 5 3 2 2 10 10 2 2 3 5 4 5 5 3 4 10 12 5 5 9 12 10 17 14 12 10 N I SD: 2.9823 c. M: 6.1671 c. 408: 13 15 18 22 13 15 12 6 7 15 13 5 4 6 7 5 6 4 3 2 13 13 2 3 4 6 5 7 6 4 5 13 15 7 6 12 15 13 22 18 15 13 N I SD: 2.4079 c. M: 3.9274 c. 432: 14 16 19 23 14 16 12 7 7 16 14 5 4 7 7 5 7 4 3 2 14 14 2 3 4 7 5 7 7 4 5 14 16 7 7 12 16 14 23 19 16 14 N I SD: 1.9043 c. M: 2.9804 c. 594: 19 22 26 32 19 22 17 9 10 22 19 7 6 9 10 7 9 6 4 3 19 19 3 4 6 9 7 10 9 6 7 19 22 10 9 17 22 19 32 26 22 19 N I SD: 0.9675 c. M:-1.5651 c. 780: 25 29 34 42 25 29 22 12 13 29 25 9 8 12 13 9 12 8 5 4 25 25 4 5 8 12 9 13 12 8 9 25 29 13 12 22 29 25 42 34 29 25 N I SD: 0.9224 c. M: 1.7951 c. 840: 27 31 37 45 27 31 24 13 14 31 27 10 8 13 14 10 13 8 6 4 27 27 4 6 8 13 10 14 13 8 10 27 31 14 13 24 31 27 45 37 31 27 N I SD: 0.7889 c. M:-1.5016 c. 1026: 33 38 45 55 33 38 29 16 17 38 33 12 10 16 17 12 16 10 7 5 33 33 5 7 10 16 12 17 16 10 12 33 38 17 16 29 38 33 55 45 38 33 N I SD: 0.2649 c. M: 0.4049 c. 1620: 52 60 71 87 52 60 46 25 27 60 52 19 16 25 27 19 25 16 11 8 52 52 8 11 16 25 19 27 25 16 19 52 60 27 25 46 60 52 87 71 60 52 N I SD: 0.2240 c. M:-0.3530 c. 2646: 85 98 116 142 85 98 75 41 44 98 85 31 26 41 44 31 41 26 18 13 85 85 13 18 26 41 31 44 41 26 31 85 98 44 41 75 98 85 142 116 98 85 N I SD: 0.1074 c. M:-0.2042 c.
FIT/HARMONIC
1 .. 64 match: 24 SD: 2.6742 cents 2 .. 128 match: 33 SD: 5.6641 cents 3 .. 192 match: 38 S SD: 2.8942 cents 4 .. 256 match: 39 SD: 4.7790 cents 5 .. 320 match: 42 SD: 3.6158 cents 6 .. 384 match: 42 SD: 2.4765 cents 7 .. 448 match: 42 SD: 2.1424 cents 9 .. 576 match: 42 SD: 1.9747 cents 12 .. 768 match: 42 SD: 1.3308 cents 14 .. 896 match: 42 SD: 1.1867 cents 15 .. 960 match: 42 SD: 0.6685 cents 21 .. 1344 match: 42 SD: 0.5326 cents 27 .. 1728 match: 42 SD: 0.4843 cents 30 .. 1920 match: 42 SD: 0.4537 cents 35 .. 2240 match: 42 SD: 0.3485 cents 42 .. 2688 match: 42 SD: 0.2010 cents 63 .. 4032 match: 42 SD: 0.1338 cents 90 .. 5760 match: 42 SD: 0.1110 cents 105 .. 6720 match: 42 S SD: 0.0000 cents