Scala analysis: cons21
Set of intervals with num + den <= 21 not exceeding 2/1
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 11/10 165.004228 Ptolemy's second, 4/5-tone 2: 10/9 182.403712 minor whole tone 3: 9/8 203.910002 major whole tone 4: 8/7 231.174094 septimal whole tone 5: 7/6 266.870906 septimal minor third 6: 6/5 315.641287 minor third 7: 11/9 347.407941 undecimal neutral third 8: 5/4 386.313714 major third 9: 9/7 435.084095 septimal major third, BP third 10: 4/3 498.044999 perfect fourth 11: 11/8 551.317942 undecimal semi-augmented fourth 12: 7/5 582.512193 septimal or Huygens' tritone, BP fourth 13: 10/7 617.487807 Euler's tritone 14: 3/2 701.955001 perfect fifth 15: 11/7 782.492036 undecimal augmented fifth 16: 8/5 813.686286 minor sixth 17: 13/8 840.527662 tridecimal neutral sixth 18: 5/3 884.358713 major sixth, BP sixth 19: 12/7 933.129094 septimal major sixth 20: 7/4 968.825906 harmonic seventh 21: 9/5 1017.596288 just minor seventh, BP seventh 22: 11/6 1049.362941 undecimal neutral seventh, 21/4-tone 23: 13/7 1071.701755 16/3-tone 24: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 14/13 128.2982 2/3-tone 1: 11/10 165.0042 Ptolemy's second, 4/5-tone 2: 100/99 17.3995 Ptolemy's comma 3: 81/80 21.5063 syntonic comma, Didymus comma 4: 64/63 27.2641 septimal comma, Archytas' comma 5: 49/48 35.6968 slendro diesis, septimal 1/6-tone 6: 36/35 48.7704 septimal diesis, 1/4-tone 7: 55/54 31.7667 telepathma 8: 45/44 38.9058 1/5-tone 9: 36/35 48.7704 septimal diesis, 1/4-tone 10: 28/27 62.9609 Archytas' 1/3-tone 11: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 12: 56/55 31.1943 undecimal diesis, konbini comma 13: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 14: 21/20 84.4672 minor semitone 15: 22/21 80.5370 undecimal minor semitone 16: 56/55 31.1943 undecimal diesis, konbini comma 17: 65/64 26.8414 13th-partial chroma 18: 40/39 43.8311 tridecimal minor diesis 19: 36/35 48.7704 septimal diesis, 1/4-tone 20: 49/48 35.6968 slendro diesis, septimal 1/6-tone 21: 36/35 48.7704 septimal diesis, 1/4-tone 22: 55/54 31.7667 telepathma 23: 78/77 22.3388 tridecimal minor third comma 24: 14/13 128.2982 2/3-tone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 100/99 17.399 cents Ptolemy's comma 1: 1 81/80 21.506 cents syntonic comma, Didymus comma 1: 1 78/77 22.339 cents tridecimal minor third comma 1: 1 65/64 26.841 cents 13th-partial chroma 1: 1 64/63 27.264 cents septimal comma, Archytas' comma 1: 2 56/55 31.194 cents undecimal diesis, konbini comma 1: 2 55/54 31.767 cents telepathma 1: 1 50/49 34.976 cents Erlich's decatonic comma, tritonic diesis 1: 2 49/48 35.697 cents slendro diesis, septimal 1/6-tone 1: 1 45/44 38.906 cents 1/5-tone 1: 1 40/39 43.831 cents tridecimal minor diesis 1: 4 36/35 48.770 cents septimal diesis, 1/4-tone 1: 1 33/32 53.273 cents undecimal comma, al-Farabi's 1/4-tone 1: 1 28/27 62.961 cents Archytas' 1/3-tone 1: 1 22/21 80.537 cents undecimal minor semitone 1: 1 21/20 84.467 cents minor semitone 1: 1 14/13 128.298 cents 2/3-tone 1: 1 11/10 165.004 cents Ptolemy's second, 4/5-tone 2: 1 45/44 38.906 cents 1/5-tone 2: 1 36/35 48.770 cents septimal diesis, 1/4-tone 2: 1 65/63 54.105 cents 2: 1 91/88 58.036 cents 2: 1 28/27 62.961 cents Archytas' 1/3-tone 2: 1 80/77 66.170 cents 2: 2 25/24 70.672 cents classic chromatic semitone, minor chroma 2: 2 22/21 80.537 cents undecimal minor semitone 2: 4 21/20 84.467 cents minor semitone 2: 1 81/77 87.676 cents 2: 1 96/91 92.601 cents 2: 2 16/15 111.731 cents minor diatonic semitone 2: 1 77/72 116.234 cents undecimal secor 2: 1 15/14 119.443 cents major diatonic semitone 2: 1 12/11 150.637 cents undecimal neutral second, 3/4-tone 2: 1 11/10 165.004 cents Ptolemy's second, 4/5-tone 2: 1 10/9 182.404 cents minor whole tone 2: 1 77/65 293.302 cents 3: 1 80/77 66.170 cents 3: 1 21/20 84.467 cents minor semitone 3: 1 35/33 101.867 cents 3: 1 52/49 102.876 cents 3: 1 16/15 111.731 cents minor diatonic semitone 3: 2 77/72 116.234 cents undecimal secor 3: 4 15/14 119.443 cents major diatonic semitone 3: 1 14/13 128.298 cents 2/3-tone 3: 1 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 3: 1 13/12 138.573 cents tridecimal 2/3-tone 3: 1 49/45 147.428 cents BP minor semitone 3: 2 12/11 150.637 cents undecimal neutral second, 3/4-tone 3: 1 11/10 165.004 cents Ptolemy's second, 4/5-tone 3: 1 10/9 182.404 cents minor whole tone 3: 1 28/25 196.198 cents middle second 3: 1 55/49 199.980 cents quasi-equal major second 3: 1 9/8 203.910 cents major whole tone 3: 1 140/117 310.702 cents 3: 1 6/5 315.641 cents minor third 4: 1 35/33 101.867 cents 4: 1 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 4: 1 13/12 138.573 cents tridecimal 2/3-tone 4: 1 88/81 143.498 cents 2nd undecimal neutral second 4: 1 12/11 150.637 cents undecimal neutral second, 3/4-tone 4: 2 35/32 155.140 cents septimal neutral second 4: 1 11/10 165.004 cents Ptolemy's second, 4/5-tone 4: 1 54/49 168.213 cents Zalzal's mujannab 4: 1 72/65 177.069 cents 4: 3 10/9 182.404 cents minor whole tone 4: 1 28/25 196.198 cents middle second 4: 2 9/8 203.910 cents major whole tone 4: 1 91/80 223.040 cents 4: 4 8/7 231.174 cents septimal whole tone 4: 1 63/52 332.208 cents 4: 1 40/33 333.041 cents 4: 1 11/9 347.408 cents undecimal neutral third 5: 1 12/11 150.637 cents undecimal neutral second, 3/4-tone 5: 1 11/10 165.004 cents Ptolemy's second, 4/5-tone 5: 1 10/9 182.404 cents minor whole tone 5: 1 49/44 186.334 cents undecimal minor whole tone 5: 1 39/35 187.343 cents 5: 2 9/8 203.910 cents major whole tone 5: 1 44/39 208.835 cents 5: 3 8/7 231.174 cents septimal whole tone 5: 1 63/55 235.104 cents 5: 1 55/48 235.677 cents undecimal semi-augmented whole tone 5: 1 65/56 258.015 cents 5: 1 64/55 262.368 cents 5: 4 7/6 266.871 cents septimal minor third 5: 1 33/28 284.447 cents undecimal minor third 5: 1 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 5: 1 16/13 359.472 cents tridecimal neutral third 5: 1 100/81 364.807 cents grave major third 5: 1 44/35 396.178 cents 6: 1 10/9 182.404 cents minor whole tone 6: 1 9/8 203.910 cents major whole tone 6: 2 8/7 231.174 cents septimal whole tone 6: 1 63/55 235.104 cents 6: 1 55/48 235.677 cents undecimal semi-augmented whole tone 6: 3 7/6 266.871 cents septimal minor third 6: 1 90/77 270.080 cents 6: 1 33/28 284.447 cents undecimal minor third 6: 1 13/11 289.210 cents tridecimal minor third 6: 1 25/21 301.847 cents BP second, quasi-equal minor third 6: 5 6/5 315.641 cents minor third 6: 1 11/9 347.408 cents undecimal neutral third 6: 1 96/77 381.811 cents 6: 1 5/4 386.314 cents major third 6: 1 49/39 395.169 cents 6: 1 80/63 413.578 cents wide major third 6: 1 77/60 431.875 cents 7: 1 25/22 221.309 cents undecimal acute whole tone 7: 1 81/70 252.680 cents Al-Hwarizmi's lute middle finger 7: 1 65/56 258.015 cents 7: 1 7/6 266.871 cents septimal minor third 7: 1 32/27 294.135 cents Pythagorean minor third 7: 1 25/21 301.847 cents BP second, quasi-equal minor third 7: 2 6/5 315.641 cents minor third 7: 1 77/64 320.144 cents Keemun minor third 7: 1 40/33 333.041 cents 7: 1 39/32 342.483 cents 39th harmonic, Zalzal wosta of Ibn Sina 7: 1 11/9 347.408 cents undecimal neutral third 7: 1 60/49 350.617 cents smaller approximation to neutral third 7: 1 49/40 351.338 cents larger approximation to neutral third 7: 1 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 7: 1 16/13 359.472 cents tridecimal neutral third 7: 1 56/45 378.602 cents septimal narrow major third 7: 1 44/35 396.178 cents 7: 1 80/63 413.578 cents wide major third 7: 1 14/11 417.508 cents undecimal diminished fourth or major third 7: 1 9/7 435.084 cents septimal major third, BP third 7: 1 84/65 443.940 cents 7: 1 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 7: 1 33/25 480.646 cents 2 pentatones 8: 1 90/77 270.080 cents 8: 1 13/11 289.210 cents tridecimal minor third 8: 1 6/5 315.641 cents minor third 8: 2 11/9 347.408 cents undecimal neutral third 8: 1 60/49 350.617 cents smaller approximation to neutral third 8: 1 49/40 351.338 cents larger approximation to neutral third 8: 1 96/77 381.811 cents 8: 5 5/4 386.314 cents major third 8: 1 63/50 400.108 cents quasi-equal major third 8: 1 91/72 405.444 cents 8: 1 32/25 427.373 cents classic diminished fourth 8: 1 9/7 435.084 cents septimal major third, BP third 8: 1 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 8: 1 64/49 462.348 cents 2 septatones or septatonic major third 8: 1 72/55 466.278 cents undecimal semi-diminished fourth 8: 1 21/16 470.781 cents narrow fourth 8: 1 154/117 475.706 cents 8: 1 4/3 498.045 cents perfect fourth 8: 1 88/65 524.477 cents 9: 1 40/33 333.041 cents 9: 1 99/80 368.914 cents 9: 1 26/21 369.747 cents 9: 1 56/45 378.602 cents septimal narrow major third 9: 1 5/4 386.314 cents major third 9: 2 14/11 417.508 cents undecimal diminished fourth or major third 9: 1 77/60 431.875 cents 9: 4 9/7 435.084 cents septimal major third, BP third 9: 1 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 9: 1 13/10 454.214 cents tridecimal semi-diminished fourth 9: 1 72/55 466.278 cents undecimal semi-diminished fourth 9: 1 55/42 466.851 cents 9: 4 4/3 498.045 cents perfect fourth 9: 1 35/26 514.612 cents 9: 1 27/20 519.551 cents acute fourth 9: 1 160/117 541.876 cents 9: 1 11/8 551.318 cents undecimal semi-augmented fourth 10: 1 5/4 386.314 cents major third 10: 1 63/50 400.108 cents quasi-equal major third 10: 1 80/63 413.578 cents wide major third 10: 1 13/10 454.214 cents tridecimal semi-diminished fourth 10: 1 72/55 466.278 cents undecimal semi-diminished fourth 10: 1 55/42 466.851 cents 10: 2 21/16 470.781 cents narrow fourth 10: 1 117/88 493.120 cents tridecimal gentle fourth 10: 5 4/3 498.045 cents perfect fourth 10: 1 66/49 515.621 cents 10: 1 110/81 529.812 cents 10: 1 49/36 533.742 cents Arabic lute acute fourth 10: 1 15/11 536.951 cents undecimal augmented fourth 10: 2 48/35 546.815 cents septimal semi-augmented fourth 10: 2 18/13 563.382 cents tridecimal augmented fourth 10: 1 25/18 568.717 cents classic augmented fourth 10: 1 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 11: 1 14/11 417.508 cents undecimal diminished fourth or major third 11: 1 9/7 435.084 cents septimal major third, BP third 11: 1 65/49 489.190 cents 11: 2 4/3 498.045 cents perfect fourth 11: 1 27/20 519.551 cents acute fourth 11: 1 65/48 524.886 cents 11: 1 49/36 533.742 cents Arabic lute acute fourth 11: 1 15/11 536.951 cents undecimal augmented fourth 11: 2 48/35 546.815 cents septimal semi-augmented fourth 11: 2 11/8 551.318 cents undecimal semi-augmented fourth 11: 1 25/18 568.717 cents classic augmented fourth 11: 1 88/63 578.582 cents 11: 3 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 11: 1 108/77 585.721 cents 11: 1 45/32 590.224 cents diatonic tritone 11: 1 128/91 590.646 cents 11: 1 140/99 599.912 cents quasi-equal tritone 11: 1 56/39 626.343 cents 11: 1 22/15 663.049 cents undecimal diminished fifth 12: 1 100/77 452.484 cents 12: 1 27/20 519.551 cents acute fourth 12: 1 104/77 520.384 cents 12: 1 11/8 551.318 cents undecimal semi-augmented fourth 12: 1 25/18 568.717 cents classic augmented fourth 12: 1 39/28 573.657 cents 12: 1 88/63 578.582 cents 12: 4 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 12: 1 108/77 585.721 cents 12: 1 77/54 614.279 cents 12: 4 10/7 617.488 cents Euler's tritone 12: 1 63/44 621.418 cents 12: 1 56/39 626.343 cents 12: 1 36/25 631.283 cents classic diminished fifth 12: 1 16/11 648.682 cents undecimal semi-diminished fifth 12: 1 77/52 679.616 cents 12: 1 40/27 680.449 cents grave fifth 12: 1 77/50 747.516 cents 13: 1 15/11 536.951 cents undecimal augmented fourth 13: 1 39/28 573.657 cents 13: 1 99/70 600.088 cents 2nd quasi-equal tritone 13: 1 91/64 609.354 cents 13: 1 64/45 609.776 cents 2nd tritone 13: 1 77/54 614.279 cents 13: 3 10/7 617.488 cents Euler's tritone 13: 1 63/44 621.418 cents 13: 1 36/25 631.283 cents classic diminished fifth 13: 2 16/11 648.682 cents undecimal semi-diminished fifth 13: 2 35/24 653.185 cents septimal semi-diminished fifth 13: 1 22/15 663.049 cents undecimal diminished fifth 13: 1 72/49 666.258 cents Arabic lute grave fifth 13: 1 96/65 675.114 cents 13: 1 40/27 680.449 cents grave fifth 13: 2 3/2 701.955 cents perfect fifth 13: 1 98/65 710.810 cents 13: 1 14/9 764.916 cents septimal minor sixth 13: 1 11/7 782.492 cents undecimal augmented fifth 14: 1 10/7 617.488 cents Euler's tritone 14: 1 36/25 631.283 cents classic diminished fifth 14: 2 13/9 636.618 cents tridecimal diminished fifth 14: 2 35/24 653.185 cents septimal semi-diminished fifth 14: 1 22/15 663.049 cents undecimal diminished fifth 14: 1 72/49 666.258 cents Arabic lute grave fifth 14: 1 81/55 670.188 cents 14: 1 49/33 684.379 cents 14: 5 3/2 701.955 cents perfect fifth 14: 1 176/117 706.880 cents 14: 2 32/21 729.219 cents wide fifth 14: 1 84/55 733.149 cents 14: 1 55/36 733.722 cents undecimal semi-augmented fifth 14: 1 20/13 745.786 cents tridecimal semi-augmented fifth 14: 1 63/40 786.422 cents narrow minor sixth 14: 1 100/63 799.892 cents quasi-equal minor sixth 14: 1 8/5 813.686 cents minor sixth 15: 1 16/11 648.682 cents undecimal semi-diminished fifth 15: 1 117/80 658.124 cents 15: 1 40/27 680.449 cents grave fifth 15: 1 52/35 685.388 cents 15: 4 3/2 701.955 cents perfect fifth 15: 1 84/55 733.149 cents 15: 1 55/36 733.722 cents undecimal semi-augmented fifth 15: 1 20/13 745.786 cents tridecimal semi-augmented fifth 15: 1 54/35 750.725 cents septimal semi-augmented fifth 15: 4 14/9 764.916 cents septimal minor sixth 15: 1 120/77 768.125 cents 15: 2 11/7 782.492 cents undecimal augmented fifth 15: 1 8/5 813.686 cents minor sixth 15: 1 45/28 821.398 cents septimale wide minor sixth 15: 1 21/13 830.253 cents 15: 1 160/99 831.086 cents 15: 1 33/20 866.959 cents 16: 1 65/44 675.523 cents 16: 1 3/2 701.955 cents perfect fifth 16: 1 117/77 724.294 cents 16: 1 32/21 729.219 cents wide fifth 16: 1 55/36 733.722 cents undecimal semi-augmented fifth 16: 1 49/32 737.652 cents 16: 1 54/35 750.725 cents septimal semi-augmented fifth 16: 1 14/9 764.916 cents septimal minor sixth 16: 1 25/16 772.627 cents classic augmented fifth 16: 1 144/91 794.556 cents 16: 1 100/63 799.892 cents quasi-equal minor sixth 16: 5 8/5 813.686 cents minor sixth 16: 1 77/48 818.189 cents 16: 1 80/49 848.662 cents smaller approximation to neutral sixth 16: 1 49/30 849.383 cents larger approximation to neutral sixth 16: 2 18/11 852.592 cents undecimal neutral sixth 16: 1 5/3 884.359 cents major sixth, BP sixth 16: 1 22/13 910.790 cents tridecimal major sixth 16: 1 77/45 929.920 cents 17: 1 50/33 719.354 cents 3 pentatones 17: 1 54/35 750.725 cents septimal semi-augmented fifth 17: 1 65/42 756.060 cents 17: 1 14/9 764.916 cents septimal minor sixth 17: 1 11/7 782.492 cents undecimal augmented fifth 17: 1 63/40 786.422 cents narrow minor sixth 17: 1 35/22 803.822 cents 17: 1 45/28 821.398 cents septimale wide minor sixth 17: 1 13/8 840.528 cents tridecimal neutral sixth 17: 1 44/27 845.453 cents neutral sixth 17: 1 80/49 848.662 cents smaller approximation to neutral sixth 17: 1 49/30 849.383 cents larger approximation to neutral sixth 17: 1 18/11 852.592 cents undecimal neutral sixth 17: 1 64/39 857.517 cents 39th subharmonic 17: 1 33/20 866.959 cents 17: 1 128/77 879.856 cents 17: 2 5/3 884.359 cents major sixth, BP sixth 17: 1 42/25 898.153 cents quasi-equal major sixth 17: 1 27/16 905.865 cents Pythagorean major sixth 17: 1 12/7 933.129 cents septimal major sixth 17: 1 112/65 941.985 cents 17: 1 140/81 947.320 cents 17: 1 44/25 978.691 cents undecimal grave minor seventh 18: 1 120/77 768.125 cents 18: 1 63/40 786.422 cents narrow minor sixth 18: 1 78/49 804.831 cents 18: 1 8/5 813.686 cents minor sixth 18: 1 77/48 818.189 cents 18: 1 18/11 852.592 cents undecimal neutral sixth 18: 5 5/3 884.359 cents major sixth, BP sixth 18: 1 42/25 898.153 cents quasi-equal major sixth 18: 1 22/13 910.790 cents tridecimal major sixth 18: 1 56/33 915.553 cents 18: 1 77/45 929.920 cents 18: 3 12/7 933.129 cents septimal major sixth 18: 1 96/55 964.323 cents 18: 1 110/63 964.896 cents 18: 2 7/4 968.826 cents harmonic seventh 18: 1 16/9 996.090 cents Pythagorean minor seventh 18: 1 9/5 1017.596 cents just minor seventh, BP seventh 19: 1 35/22 803.822 cents 19: 1 81/50 835.193 cents acute minor sixth 19: 1 13/8 840.528 cents tridecimal neutral sixth 19: 1 44/27 845.453 cents neutral sixth 19: 1 56/33 915.553 cents 19: 4 12/7 933.129 cents septimal major sixth 19: 1 55/32 937.632 cents 19: 1 112/65 941.985 cents 19: 1 96/55 964.323 cents 19: 1 110/63 964.896 cents 19: 3 7/4 968.826 cents harmonic seventh 19: 1 39/22 991.165 cents 19: 2 16/9 996.090 cents Pythagorean minor seventh 19: 1 70/39 1012.657 cents 19: 1 88/49 1013.666 cents undecimal minor seventh 19: 1 9/5 1017.596 cents just minor seventh, BP seventh 19: 1 20/11 1034.996 cents large minor seventh 19: 1 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 20: 1 18/11 852.592 cents undecimal neutral sixth 20: 1 33/20 866.959 cents 20: 1 104/63 867.792 cents 20: 4 7/4 968.826 cents harmonic seventh 20: 1 160/91 976.960 cents 20: 2 16/9 996.090 cents Pythagorean minor seventh 20: 1 25/14 1003.802 cents middle minor seventh 20: 3 9/5 1017.596 cents just minor seventh, BP seventh 20: 1 65/36 1022.931 cents 20: 1 49/27 1031.787 cents 20: 1 20/11 1034.996 cents large minor seventh 20: 2 64/35 1044.860 cents septimal neutral seventh 20: 1 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 20: 1 81/44 1056.502 cents 2nd undecimal neutral seventh 20: 1 24/13 1061.427 cents tridecimal neutral seventh 20: 1 50/27 1066.762 cents grave major seventh 20: 1 66/35 1098.133 cents 21: 1 5/3 884.359 cents major sixth, BP sixth 21: 1 117/70 889.298 cents 21: 1 16/9 996.090 cents Pythagorean minor seventh 21: 1 98/55 1000.020 cents quasi-equal minor seventh 21: 1 25/14 1003.802 cents middle minor seventh 21: 1 9/5 1017.596 cents just minor seventh, BP seventh 21: 1 20/11 1034.996 cents large minor seventh 21: 2 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 21: 1 90/49 1052.572 cents 21: 1 24/13 1061.427 cents tridecimal neutral seventh 21: 1 50/27 1066.762 cents grave major seventh 21: 1 13/7 1071.702 cents 16/3-tone 21: 4 28/15 1080.557 cents grave major seventh 21: 2 144/77 1083.766 cents 21: 1 15/8 1088.269 cents classic major seventh 21: 1 49/26 1097.124 cents 21: 1 66/35 1098.133 cents 21: 1 40/21 1115.533 cents acute major seventh 21: 1 77/40 1133.830 cents 22: 1 130/77 906.698 cents 22: 1 9/5 1017.596 cents just minor seventh, BP seventh 22: 1 20/11 1034.996 cents large minor seventh 22: 1 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 22: 1 28/15 1080.557 cents grave major seventh 22: 1 144/77 1083.766 cents 22: 2 15/8 1088.269 cents classic major seventh 22: 1 91/48 1107.399 cents 22: 1 154/81 1112.324 cents 22: 4 40/21 1115.533 cents acute major seventh 22: 2 21/11 1119.463 cents undecimal major seventh 22: 2 48/25 1129.328 cents classic diminished octave 22: 1 77/40 1133.830 cents 22: 1 27/14 1137.039 cents septimal major seventh 22: 1 176/91 1141.964 cents 22: 1 126/65 1145.895 cents 22: 1 35/18 1151.230 cents septimal semi-diminished octave 22: 1 88/45 1161.094 cents 23: 1 20/11 1034.996 cents large minor seventh 23: 1 13/7 1071.702 cents 16/3-tone 23: 1 40/21 1115.533 cents acute major seventh 23: 1 21/11 1119.463 cents undecimal major seventh 23: 1 27/14 1137.039 cents septimal major seventh 23: 1 64/33 1146.727 cents 33rd subharmonic 23: 4 35/18 1151.230 cents septimal semi-diminished octave 23: 1 39/20 1156.169 cents 23: 1 88/45 1161.094 cents 23: 2 96/49 1164.303 cents 23: 1 49/25 1165.024 cents BP eighth 23: 2 108/55 1168.233 cents 23: 2 55/28 1168.806 cents 23: 1 63/32 1172.736 cents octave - septimal comma 23: 1 128/65 1173.159 cents 23: 1 77/39 1177.661 cents 23: 1 160/81 1178.494 cents octave - syntonic comma 23: 1 99/50 1182.601 cents Highest number of different intervals for one interval class: 23 Average number of different intervals per interval class: 18.34783 = 422/23
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 0.0 : 165.0 182.4 203.9 231.2 266.9 315.6 347.4 386.3 435.1 498.0 551.3 582.5 617.5 702.0 782.5 813.7 840.5 884.4 933.1 968.8 1017.6 1049.4 1071.7 1200.0 165.0 : 17.4 38.9 66.2 101.9 150.6 182.4 221.3 270.1 333.0 386.3 417.5 452.5 537.0 617.5 648.7 675.5 719.4 768.1 803.8 852.6 884.4 906.7 1035.0 1200.0 182.4 : 21.5 48.8 84.5 133.2 165.0 203.9 252.7 315.6 368.9 400.1 435.1 519.6 600.1 631.3 658.1 702.0 750.7 786.4 835.2 867.0 889.3 1017.6 1182.6 1200.0 203.9 : 27.3 63.0 111.7 143.5 182.4 231.2 294.1 347.4 378.6 413.6 498.0 578.6 609.8 636.6 680.4 729.2 764.9 813.7 845.5 867.8 996.1 1161.1 1178.5 1200.0 231.2 : 35.7 84.5 116.2 155.1 203.9 266.9 320.1 351.3 386.3 470.8 551.3 582.5 609.4 653.2 702.0 737.7 786.4 818.2 840.5 968.8 1133.8 1151.2 1172.7 1200.0 266.9 : 48.8 80.5 119.4 168.2 231.2 284.4 315.6 350.6 435.1 515.6 546.8 573.7 617.5 666.3 702.0 750.7 782.5 804.8 933.1 1098.1 1115.5 1137.0 1164.3 1200.0 315.6 : 31.8 70.7 119.4 182.4 235.7 266.9 301.8 386.3 466.9 498.0 524.9 568.7 617.5 653.2 702.0 733.7 756.1 884.4 1049.4 1066.8 1088.3 1115.5 1151.2 1200.0 347.4 : 38.9 87.7 150.6 203.9 235.1 270.1 354.5 435.1 466.3 493.1 537.0 585.7 621.4 670.2 702.0 724.3 852.6 1017.6 1035.0 1056.5 1083.8 1119.5 1168.2 1200.0 386.3 : 48.8 111.7 165.0 196.2 231.2 315.6 396.2 427.4 454.2 498.0 546.8 582.5 631.3 663.0 685.4 813.7 978.7 996.1 1017.6 1044.9 1080.6 1129.3 1161.1 1200.0 435.1 : 63.0 116.2 147.4 182.4 266.9 347.4 378.6 405.4 449.3 498.0 533.7 582.5 614.3 636.6 764.9 929.9 947.3 968.8 996.1 1031.8 1080.6 1112.3 1151.2 1200.0 498.0 : 53.3 84.5 119.4 203.9 284.4 315.6 342.5 386.3 435.1 470.8 519.6 551.3 573.7 702.0 867.0 884.4 905.9 933.1 968.8 1017.6 1049.4 1088.3 1137.0 1200.0 551.3 : 31.2 66.2 150.6 231.2 262.4 289.2 333.0 381.8 417.5 466.3 498.0 520.4 648.7 813.7 831.1 852.6 879.9 915.6 964.3 996.1 1035.0 1083.8 1146.7 1200.0 582.5 : 35.0 119.4 200.0 231.2 258.0 301.8 350.6 386.3 435.1 466.9 489.2 617.5 782.5 799.9 821.4 848.7 884.4 933.1 964.9 1003.8 1052.6 1115.5 1168.8 1200.0 617.5 : 84.5 165.0 196.2 223.0 266.9 315.6 351.3 400.1 431.9 454.2 582.5 747.5 764.9 786.4 813.7 849.4 898.2 929.9 968.8 1017.6 1080.6 1133.8 1165.0 1200.0 702.0 : 80.5 111.7 138.6 182.4 231.2 266.9 315.6 347.4 369.7 498.0 663.0 680.4 702.0 729.2 764.9 813.7 845.5 884.4 933.1 996.1 1049.4 1080.6 1115.5 1200.0 782.5 : 31.2 58.0 101.9 150.6 186.3 235.1 266.9 289.2 417.5 582.5 599.9 621.4 648.7 684.4 733.1 764.9 803.8 852.6 915.6 968.8 1000.0 1035.0 1119.5 1200.0 813.7 : 26.8 70.7 119.4 155.1 203.9 235.7 258.0 386.3 551.3 568.7 590.2 617.5 653.2 702.0 733.7 772.6 821.4 884.4 937.6 968.8 1003.8 1088.3 1168.8 1200.0 840.5 : 43.8 92.6 128.3 177.1 208.8 231.2 359.5 524.5 541.9 563.4 590.6 626.3 675.1 706.9 745.8 794.6 857.5 910.8 942.0 977.0 1061.4 1142.0 1173.2 1200.0 884.4 : 48.8 84.5 133.2 165.0 187.3 315.6 480.6 498.0 519.6 546.8 582.5 631.3 663.0 702.0 750.7 813.7 867.0 898.2 933.1 1017.6 1098.1 1129.3 1156.2 1200.0 933.1 : 35.7 84.5 116.2 138.6 266.9 431.9 449.3 470.8 498.0 533.7 582.5 614.3 653.2 702.0 764.9 818.2 849.4 884.4 968.8 1049.4 1080.6 1107.4 1151.2 1200.0 968.8 : 48.8 80.5 102.9 231.2 396.2 413.6 435.1 462.3 498.0 546.8 578.6 617.5 666.3 729.2 782.5 813.7 848.7 933.1 1013.7 1044.9 1071.7 1115.5 1164.3 1200.0 1017.6: 31.8 54.1 182.4 347.4 364.8 386.3 413.6 449.3 498.0 529.8 568.7 617.5 680.4 733.7 764.9 799.9 884.4 964.9 996.1 1022.9 1066.8 1115.5 1151.2 1200.0 1049.4: 22.3 150.6 315.6 333.0 354.5 381.8 417.5 466.3 498.0 537.0 585.7 648.7 702.0 733.1 768.1 852.6 933.1 964.3 991.2 1035.0 1083.8 1119.5 1168.2 1200.0 1071.7: 128.3 293.3 310.7 332.2 359.5 395.2 443.9 475.7 514.6 563.4 626.3 679.6 710.8 745.8 830.3 910.8 942.0 968.8 1012.7 1061.4 1097.1 1145.9 1177.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 17.3995 .. 165.0042 cents 1089/1000, 147.6047 cents 100/99, 17.3995 cents 2: 38.9058 .. 293.3025 cents 3388/2925, 254.3967 cents 225/242,-126.0985 cents 3: 66.1699 .. 315.6413 cents 231/200, 249.4714 cents 5200/5929,-227.1326 cents 4: 101.8667 .. 347.4079 cents 121/105, 245.5413 cents 175/198,-213.7746 cents 5: 150.6371 .. 396.1783 cents 121/105, 245.5413 cents 108/121,-196.7709 cents 6: 182.4037 .. 431.8751 cents 231/200, 249.4714 cents 175/198,-213.7746 cents 7: 221.3095 .. 480.6455 cents 726/625, 259.3360 cents 750/847,-210.5656 cents 8: 270.0799 .. 524.4766 cents 3388/2925, 254.3967 cents 750/847,-210.5656 cents 9: 333.0408 .. 551.3179 cents 363/320, 218.2772 cents 325/363,-191.4358 cents 10: 386.3137 .. 582.5122 cents 28/25, 196.1985 cents 10/11,-165.0042 cents 11: 417.5080 .. 663.0492 cents 121/105, 245.5413 cents 10/11,-165.0042 cents 12: 452.4836 .. 747.5164 cents 5929/5000, 295.0328 cents 750/847,-210.5656 cents 13: 536.9508 .. 782.4920 cents 121/105, 245.5413 cents 750/847,-210.5656 cents 14: 617.4878 .. 813.6863 cents 28/25, 196.1985 cents 10/11,-165.0042 cents 15: 648.6821 .. 866.9592 cents 363/320, 218.2772 cents 10/11,-165.0042 cents 16: 675.5234 .. 929.9201 cents 3388/2925, 254.3967 cents 325/363,-191.4358 cents 17: 719.3545 .. 978.6905 cents 726/625, 259.3360 cents 750/847,-210.5656 cents 18: 768.1249 .. 1017.5963 cents 231/200, 249.4714 cents 750/847,-210.5656 cents 19: 803.8217 .. 1049.3629 cents 121/105, 245.5413 cents 175/198,-213.7746 cents 20: 852.5921 .. 1098.1333 cents 121/105, 245.5413 cents 108/121,-196.7709 cents 21: 884.3587 .. 1133.8301 cents 231/200, 249.4714 cents 175/198,-213.7746 cents 22: 906.6975 .. 1161.0942 cents 3388/2925, 254.3967 cents 5200/5929,-227.1326 cents 23: 1034.9958 .. 1182.6005 cents 1089/1000, 147.6047 cents 225/242,-126.0985 cents
SHOW DATA
Number of notes : 24 -- Interval properties -- Smallest interval : 100/99, 17.3995 cents, class 1 Average step (divided formal octave): 50.0000 cents Largest one step interval : 11/10, 165.0042 cents Average / Smallest step : 2.873648 Largest / Average step : 3.300085 Largest / Smallest step : 9.483283 Median interval of one step : 37.30129 cents, amount: 0 Most common interval of one step : 36/35, 48.7704 cents, amount: 4 Least squares average step : 49.10138 cents, oct.: 1178.43318 cents Scale is not proper Step pattern alph. order: ABCDEFGHFIJKLMNKOPFEFGQR Step pattern size order : RABEILGJLNMFHPOFDKLILGCQ Scale is not a Constant Structure Scale diversity : 1.602847 Lumma stability : 0.028999 Lumma impropriety factor : 0.935157 Number of different interval sizes : 238 = 10.34783 / class Number of one step interval sizes : 18 Highest interval variety : 23 Mean interval variety : 18.34783 = 422/23 Median interval variety : 17 Lowest interval variety : 17 Smallest interval difference : 9801/9800, 0.1766 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 12 Most common triad is 0.0 498.045 701.955 cents, amount: 6 Number of recognisable fifths : 15, average 704.0337 cents Number of appreciable fifths : 14, average 702.9393 cents Scale contains a complete diamond : 1 3 5 7 All steps are superparticular (epimoric) Length of longest harmonic part : 2 at degree 13 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 15 = 62.5000% Scale is differentially coherent in interval class 1 Scale is n-1 differentially coherent in interval classes 2 and 3 combined Scale is n-1 differentially coherent in interval classes 3 and 4 combined Scale is differentially coherent in interval classes 4 and 5 combined Scale is n-1 differentially coherent in interval classes 5 and 6 combined -- Rational properties -- Prime limit : 13 Odd number limit : 117 (O: 117 U: 117) Highest odd numerator or denominator: 13 Scale harmonicity : 0.011065 Average absolute harmonicity : 0.123410 Specific harmonicity : 0.085046 Fundamental : 1/2520, -11.2992 octaves, 0.1038 Hz. Guide tone : 360360, 18.4591 octaves, 94279388.712 Hz. Exponens Consonantiae : 9.081072E+08, 29.75829 octaves Euler's gradus suavitatis : 57 Sum of Mann's harmonic distance : 172.5, average 7.18750 Mersenne's string divisions : 232792560 Sum of van Prooijen's expressibility: 20.07253, average 0.83636 Sum of Tenney's harmonic distance : 38.77445, average 1.61560 Vogel's harmonic complexity : 23.29167 Wille's k value : 2047 Wilson's harmonic complexity : 60 Rectangular lattice diameter : 10 Triangular lattice diameter : 4 Lattice compactness : 884.88694, average 2.94962 Lattice compactness (without 2's) : 575.91573, average 1.91972 Number of different primes : 6 Prime exponents' range, average, count, tones@limit: 2: -3 .. 3 -0.12500 31 1 3: -2 .. 2 0.04167 17 3 5: -1 .. 1 -0.04167 9 6 7: -1 .. 1 -0.12500 9 7 11: 0 .. 1 0.20833 5 5 13: 0 .. 1 0.08333 2 2 Average exponent except 2's : 4 / 24 = 0.16667 Average absolute exponent except 2's: 42 / 24 = 1.75000
FIT/MODE
24: 3 1 0 1 0 1 1 1 1 1 1 1 0 2 2 0 1 1 1 0 1 1 0 3 N SD: 14.0231 c. M: 21.7018 c. 25: 3 1 0 1 0 1 1 1 1 1 1 1 1 1 2 1 0 1 1 1 1 1 0 3 N SD: 16.2968 c. M: 29.9550 c. 26: 4 0 0 1 1 1 1 0 1 2 1 1 0 2 2 1 0 1 1 1 1 1 0 3 N SD: 12.3879 c. M:-21.8228 c. 27: 4 0 1 0 1 1 1 1 1 1 1 1 1 2 2 0 1 1 1 1 1 1 0 3 N SD: 10.1117 c. M:-18.3122 c. 31: 4 1 0 1 1 1 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 1 1 3 N SD: 6.9540 c. M:-12.1692 c. 41: 6 0 1 1 1 2 1 1 2 2 2 1 1 3 3 1 1 1 2 1 2 1 1 4 N SD: 5.5419 c. M:-11.2251 c. 46: 6 1 1 1 1 2 1 2 2 2 2 1 2 3 3 1 1 2 2 1 2 1 1 5 N SD: 5.1602 c. M:-8.5991 c. 53: 7 1 1 1 2 2 1 2 2 3 2 2 1 4 3 2 1 2 2 2 2 1 1 6 N SD: 5.2274 c. M: 12.6807 c. 58: 8 1 1 1 2 2 2 2 2 3 3 1 2 4 4 1 2 2 2 2 2 2 1 6 N SD: 4.2969 c. M:-7.7482 c. 66: 9 1 1 2 2 2 2 2 3 3 3 2 2 5 4 2 1 3 2 2 3 2 1 7 N SD: 4.3535 c. M:-7.1359 c. 72: 10 1 1 2 2 3 2 2 3 4 3 2 2 5 5 2 1 3 3 2 3 2 1 8 N SD: 2.4815 c. M: 7.1943 c. 77: 11 1 1 2 2 3 2 3 3 4 3 2 3 5 5 2 2 3 3 2 3 2 2 8 N SD: 3.7547 c. M:-6.4243 c. 80: 11 1 2 1 3 3 2 3 3 4 4 2 2 6 5 2 2 3 3 3 3 2 1 9 N SD: 3.3823 c. M: 6.7018 c. 87: 12 1 2 2 2 4 2 3 4 4 4 2 3 6 6 2 2 3 4 2 4 2 2 9 N SD: 2.9291 c. M:-6.2952 c. 92: 13 1 2 2 2 4 3 3 3 5 4 3 2 7 6 2 2 4 4 2 4 2 2 10 N SD: 4.0045 c. M: 6.0013 c. 93: 13 1 2 2 3 3 3 3 4 5 4 2 3 6 7 2 2 4 3 3 4 2 2 10 N SD: 3.2805 c. M: 5.9639 c. 94: 13 1 2 2 3 4 2 3 4 5 4 3 2 7 6 3 2 3 4 3 4 2 2 10 N SD: 2.6288 c. M:-4.7218 c. 103: 14 2 1 3 3 4 3 3 4 6 4 3 3 7 7 3 2 4 4 3 4 3 2 11 N SD: 2.4757 c. M: 5.8517 c. 111: 15 2 2 2 4 4 3 4 4 6 5 3 3 8 7 3 3 4 4 4 4 3 2 12 N SD: 2.3944 c. M:-4.1471 c. 113: 16 1 2 3 3 5 3 3 5 6 5 3 3 8 8 3 2 4 5 3 5 3 2 12 N SD: 2.3864 c. M:-4.9073 c. 114: 16 1 2 3 3 5 3 4 4 6 5 3 4 8 7 3 3 4 5 3 5 3 2 12 N SD: 2.9128 c. M: 3.9495 c. 118: 16 2 2 3 3 5 3 4 5 6 5 3 4 8 8 3 3 4 5 3 5 3 2 13 N SD: 1.9796 c. M: 3.9051 c. 130: 18 2 2 3 4 5 4 4 5 7 6 3 4 9 9 3 3 5 5 4 5 4 2 14 N SD: 1.5747 c. M:-3.3613 c. 152: 21 2 3 3 5 6 4 5 6 8 7 4 4 11 10 4 3 6 6 5 6 4 3 16 N SD: 1.4003 c. M: 3.6856 c. 158: 22 2 3 3 5 7 4 5 6 9 7 4 4 11 11 4 4 5 7 5 6 4 3 17 N SD: 2.1669 c. M:-3.3461 c. 159: 22 2 3 4 4 7 4 5 7 8 7 4 5 11 11 4 3 6 7 4 7 4 3 17 N SD: 1.6706 c. M: 2.7918 c. 171: 24 2 3 4 5 7 5 5 7 9 8 4 5 12 12 4 4 6 7 5 7 5 3 18 N SD: 1.6233 c. M:-3.4729 c. 176: 24 3 3 4 5 7 5 6 7 9 8 4 6 12 12 4 4 7 7 5 7 5 3 19 N SD: 1.5549 c. M:-2.9667 c. 180: 25 2 4 4 5 7 5 6 7 10 8 4 6 12 12 5 4 7 7 5 8 4 4 19 N SD: 1.8995 c. M:-2.7567 c. 181: 25 3 3 4 5 8 4 6 8 9 8 5 5 13 12 5 4 6 8 5 8 4 4 19 N SD: 1.8301 c. M:-3.3982 c. 183: 25 3 3 4 6 7 5 6 7 10 8 5 5 13 12 5 4 7 7 6 7 5 3 20 N SD: 1.3298 c. M: 2.8493 c. 190: 26 3 3 5 5 8 5 6 8 10 8 5 6 13 13 5 4 7 8 5 8 5 4 20 N SD: 1.2970 c. M:-2.5101 c. 198: 27 3 4 4 6 8 5 7 8 10 9 5 6 14 13 5 5 7 8 6 8 5 4 21 N SD: 1.0955 c. M:-2.1506 c. 224: 31 3 4 5 7 9 6 7 9 12 10 6 6 16 15 6 5 8 9 7 9 6 4 24 N SD: 0.7340 c. M:-1.4164 c. 270: 37 4 5 6 8 11 7 9 11 14 12 7 8 19 18 7 6 10 11 8 11 7 5 29 N SD: 0.3577 c. M: 0.7413 c. 400: 55 6 7 9 12 16 11 13 16 21 18 10 12 28 27 10 9 15 16 12 16 11 7 43 N SD: 0.4728 c. M: 0.7018 c. 494: 68 7 9 11 15 20 13 16 20 26 22 13 14 35 33 13 11 18 20 15 20 13 9 53 N SD: 0.2590 c. M:-0.4838 c. 684: 94 10 12 16 20 28 18 22 28 36 30 18 20 48 46 18 15 25 28 20 28 18 13 73 N SD: 0.2326 c. M: 0.4407 c. 764: 105 11 14 17 23 31 20 25 31 40 34 20 22 54 51 20 17 28 31 23 31 20 14 82 N SD: 0.2043 c. M: 0.4976 c. 908: 125 13 16 21 27 37 24 29 37 48 40 24 26 64 61 24 20 33 37 27 37 24 17 97 N SD: 0.2141 c. M:-0.4106 c. 954: 131 14 17 22 28 39 25 31 39 50 42 25 28 67 64 25 21 35 39 28 39 25 18 102 N SD: 0.1820 c. M: 0.3745 c. 1012: 139 15 18 23 30 41 27 33 41 53 45 26 30 71 68 26 23 37 41 30 41 27 19 108 N SD: 0.1655 c. M: 0.2988 c. 1084: 149 16 19 25 32 44 29 35 44 57 48 28 32 76 73 28 24 40 44 32 44 29 20 116 N SD: 0.1600 c. M: 0.3063 c. 1106: 152 16 20 25 33 45 29 36 45 58 49 29 32 78 74 29 25 40 45 33 45 29 21 118 N SD: 0.1361 c. M:-0.3403 c. 1178: 162 17 21 27 35 48 31 38 48 62 52 31 34 83 79 31 26 43 48 35 48 31 22 126 N SD: 0.1277 c. M: 0.2356 c. 1236: 170 18 22 28 37 50 33 40 50 65 55 32 36 87 83 32 28 45 50 37 50 33 23 132 N SD: 0.1108 c. M:-0.2490 c. 1448: 199 21 26 33 43 59 38 47 59 76 64 38 42 102 97 38 32 53 59 43 59 38 27 155 N SD: 0.1117 c. M: 0.2130 c. 1506: 207 22 27 34 45 61 40 49 61 79 67 39 44 106 101 39 34 55 61 45 61 40 28 161 N SD: 0.0745 c. M: 0.1405 c. 1889: 260 27 34 43 56 77 50 61 77 99 84 49 55 133 127 49 42 69 77 56 77 50 35 202 N SD: 0.0748 c. M:-0.1625 c. 2159: 297 31 39 49 64 88 57 70 88 113 96 56 63 152 145 56 48 79 88 64 88 57 40 231 N SD: 0.0683 c. M: 0.1386 c. 2190: 301 32 39 50 65 89 58 71 89 115 97 57 64 154 147 57 49 80 89 65 89 58 41 234 N SD: 0.0466 c. M: 0.0851 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.0000 cents 3 .. 6 match: 3 H SD: 0.0000 cents 4 .. 8 match: 4 H SD: 0.0000 cents 5 .. 10 match: 5 H SD: 0.0000 cents 6 .. 12 match: 6 H SD: 0.0000 cents 7 .. 14 match: 7 H SD: 0.0000 cents 8 .. 16 match: 8 H SD: 2.0709 cents 9 .. 18 match: 9 H SD: 4.9671 cents 10 .. 20 match: 10 H SD: 4.6216 cents 11 .. 22 match: 10 S SD: 5.9575 cents 12 .. 24 match: 11 S SD: 2.9865 cents 13 .. 26 match: 12 S SD: 6.8463 cents 14 .. 28 match: 13 S SD: 4.3944 cents 15 .. 30 match: 12 SD: 4.1581 cents 16 .. 32 match: 14 S SD: 3.3244 cents 17 .. 34 match: 14 SD: 4.6590 cents 18 .. 36 match: 15 S SD: 2.7081 cents 19 .. 38 match: 15 SD: 3.7529 cents 20 .. 40 match: 17 SD: 3.0743 cents 21 .. 42 match: 17 SD: 2.3397 cents 22 .. 44 match: 17 SD: 3.3725 cents 23 .. 46 match: 19 SD: 3.3068 cents 24 .. 48 match: 19 S SD: 2.1457 cents 25 .. 50 match: 19 SD: 2.6646 cents 26 .. 52 match: 17 SD: 3.0367 cents 27 .. 54 match: 20 SD: 2.5732 cents 28 .. 56 match: 20 SD: 2.0499 cents 29 .. 58 match: 19 SD: 2.4470 cents 30 .. 60 match: 22 SD: 2.0870 cents 31 .. 62 match: 20 SD: 2.2397 cents 32 .. 64 match: 21 SD: 1.9083 cents 33 .. 66 match: 21 SD: 2.5060 cents 34 .. 68 match: 23 SD: 2.4885 cents 35 .. 70 match: 22 SD: 1.3458 cents 36 .. 72 match: 21 SD: 1.6858 cents 37 .. 74 match: 22 SD: 1.9429 cents 38 .. 76 match: 21 SD: 2.0998 cents 39 .. 78 match: 22 SD: 2.0608 cents 40 .. 80 match: 23 SD: 1.3353 cents 41 .. 82 match: 23 SD: 1.7472 cents 42 .. 84 match: 23 SD: 1.4461 cents 43 .. 86 match: 23 SD: 1.7690 cents 44 .. 88 match: 23 SD: 1.7784 cents 45 .. 90 match: 22 SD: 1.4594 cents 46 .. 92 match: 23 SD: 1.6971 cents 47 .. 94 match: 23 SD: 1.6721 cents 48 .. 96 match: 23 SD: 1.1794 cents 49 .. 98 match: 23 SD: 1.2318 cents 50 .. 100 match: 23 SD: 1.3758 cents 51 .. 102 match: 23 SD: 1.5309 cents 52 .. 104 match: 23 SD: 1.5393 cents 53 .. 106 match: 24 SD: 1.3784 cents 54 .. 108 match: 24 SD: 1.2961 cents 55 .. 110 match: 23 SD: 1.1836 cents 56 .. 112 match: 23 SD: 1.0193 cents 57 .. 114 match: 23 SD: 1.4319 cents 58 .. 116 match: 23 SD: 1.3478 cents 59 .. 118 match: 23 SD: 1.2205 cents 60 .. 120 match: 24 SD: 1.1224 cents 63 .. 126 match: 24 SD: 1.0482 cents 64 .. 128 match: 24 SD: 1.0334 cents 65 .. 130 match: 23 SD: 1.0944 cents 66 .. 132 match: 23 SD: 1.1303 cents 67 .. 134 match: 23 SD: 1.1195 cents 70 .. 140 match: 24 S SD: 0.8834 cents 72 .. 144 match: 24 SD: 0.7140 cents 75 .. 150 match: 23 SD: 1.0017 cents 76 .. 152 match: 23 SD: 1.0968 cents 77 .. 154 match: 24 SD: 0.8715 cents 80 .. 160 match: 24 SD: 0.6669 cents 85 .. 170 match: 23 SD: 0.8210 cents 88 .. 176 match: 24 SD: 0.7792 cents 90 .. 180 match: 24 SD: 0.6259 cents 112 .. 224 match: 24 SD: 0.5054 cents 120 .. 240 match: 24 SD: 0.3931 cents 144 .. 288 match: 24 SD: 0.3889 cents 160 .. 320 match: 24 SD: 0.3640 cents 168 .. 336 match: 24 SD: 0.2694 cents 210 .. 420 match: 24 SD: 0.2457 cents 224 .. 448 match: 24 SD: 0.2446 cents 240 .. 480 match: 24 SD: 0.1999 cents 280 .. 560 match: 24 SD: 0.1314 cents 360 .. 720 match: 24 SD: 0.1072 cents 480 .. 960 match: 24 SD: 0.1009 cents 504 .. 1008 match: 24 SD: 0.0805 cents 560 .. 1120 match: 24 SD: 0.0804 cents 600 .. 1200 match: 24 SD: 0.0800 cents