Scala analysis: bigblok
Bigblok
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 49/48 35.696812 slendro diesis, septimal 1/6-tone 2: 21/20 84.467193 minor semitone 3: 15/14 119.442808 major diatonic semitone 4: 49/45 147.428097 BP minor semitone 5: 10/9 182.403712 minor whole tone 6: 8/7 231.174094 septimal whole tone 7: 7/6 266.870906 septimal minor third 8: 6/5 315.641287 minor third 9: 49/40 351.338099 larger approximation to neutral third 10: 9/7 435.084095 septimal major third, BP third 11: 21/16 470.780907 narrow fourth 12: 4/3 498.044999 perfect fourth 13: 49/36 533.741811 Arabic lute acute fourth 14: 7/5 582.512193 septimal or Huygens' tritone, BP fourth 15: 10/7 617.487807 Euler's tritone 16: 72/49 666.258189 Arabic lute grave fifth 17: 3/2 701.955001 perfect fifth 18: 32/21 729.219093 wide fifth 19: 14/9 764.915905 septimal minor sixth 20: 49/30 849.383098 larger approximation to neutral sixth 21: 5/3 884.358713 major sixth, BP sixth 22: 12/7 933.129094 septimal major sixth 23: 7/4 968.825906 harmonic seventh 24: 9/5 1017.596288 just minor seventh, BP seventh 25: 90/49 1052.571903 26: 28/15 1080.557192 grave major seventh 27: 40/21 1115.532807 acute major seventh 28: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 21/20 84.4672 minor semitone 1: 49/48 35.6968 slendro diesis, septimal 1/6-tone 2: 36/35 48.7704 septimal diesis, 1/4-tone 3: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 4: 686/675 27.9853 senga 5: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 6: 36/35 48.7704 septimal diesis, 1/4-tone 7: 49/48 35.6968 slendro diesis, septimal 1/6-tone 8: 36/35 48.7704 septimal diesis, 1/4-tone 9: 49/48 35.6968 slendro diesis, septimal 1/6-tone 10: 360/343 83.7460 11: 49/48 35.6968 slendro diesis, septimal 1/6-tone 12: 64/63 27.2641 septimal comma, Archytas' comma 13: 49/48 35.6968 slendro diesis, septimal 1/6-tone 14: 36/35 48.7704 septimal diesis, 1/4-tone 15: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 16: 36/35 48.7704 septimal diesis, 1/4-tone 17: 49/48 35.6968 slendro diesis, septimal 1/6-tone 18: 64/63 27.2641 septimal comma, Archytas' comma 19: 49/48 35.6968 slendro diesis, septimal 1/6-tone 20: 21/20 84.4672 minor semitone 21: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 22: 36/35 48.7704 septimal diesis, 1/4-tone 23: 49/48 35.6968 slendro diesis, septimal 1/6-tone 24: 36/35 48.7704 septimal diesis, 1/4-tone 25: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 26: 686/675 27.9853 senga 27: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 28: 21/20 84.4672 minor semitone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 64/63 27.264 cents septimal comma, Archytas' comma 1: 2 686/675 27.985 cents senga 1: 6 50/49 34.976 cents Erlich's decatonic comma, tritonic diesis 1: 8 49/48 35.697 cents slendro diesis, septimal 1/6-tone 1: 7 36/35 48.770 cents septimal diesis, 1/4-tone 1: 1 360/343 83.746 cents 1: 2 21/20 84.467 cents minor semitone 2: 8 28/27 62.961 cents Archytas' 1/3-tone 2: 6 360/343 83.746 cents 2: 8 21/20 84.467 cents minor semitone 2: 4 15/14 119.443 cents major diatonic semitone 2: 2 343/320 120.164 cents 3: 2 200/189 97.937 cents 3: 2 343/324 98.658 cents 3: 5 16/15 111.731 cents minor diatonic semitone 3: 6 15/14 119.443 cents major diatonic semitone 3: 1 343/320 120.164 cents 3: 1 2592/2401 132.516 cents 3: 2 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 3: 1 160/147 146.707 cents 3: 2 49/45 147.428 cents BP minor semitone 3: 3 35/32 155.140 cents septimal neutral second 3: 2 54/49 168.213 cents Zalzal's mujannab 3: 1 441/400 168.934 cents two (minor semitone) 4: 5 160/147 146.707 cents 4: 5 49/45 147.428 cents BP minor semitone 4: 5 54/49 168.213 cents Zalzal's mujannab 4: 1 441/400 168.934 cents two (minor semitone) 4: 4 10/9 182.404 cents minor whole tone 4: 2 2401/2160 183.125 cents 4: 6 9/8 203.910 cents major whole tone 5: 5 10/9 182.404 cents minor whole tone 5: 3 384/343 195.477 cents 5: 2 28/25 196.198 cents middle second 5: 1 2700/2401 203.189 cents 5: 2 9/8 203.910 cents major whole tone 5: 3 245/216 218.101 cents 5: 4 8/7 231.174 cents septimal whole tone 5: 3 343/300 231.895 cents 5: 1 225/196 238.886 cents two (major diatonic semitone) 5: 2 147/128 239.607 cents 5: 2 81/70 252.680 cents Al-Hwarizmi's lute middle finger 6: 9 8/7 231.174 cents septimal whole tone 6: 1 343/300 231.895 cents 6: 1 400/343 266.150 cents 6: 13 7/6 266.871 cents septimal minor third 6: 2 405/343 287.656 cents 6: 2 189/160 288.377 cents 7: 1 512/441 258.438 cents 7: 1 400/343 266.150 cents 7: 4 7/6 266.871 cents septimal minor third 7: 1 288/245 279.944 cents 7: 1 2401/2025 294.856 cents two (BP minor semitone) 7: 4 25/21 301.847 cents BP second, quasi-equal minor third 7: 3 343/288 302.568 cents 7: 1 2880/2401 314.920 cents 7: 10 6/5 315.641 cents minor third 7: 2 135/112 323.353 cents septimal wide minor third 8: 2 32/27 294.135 cents Pythagorean minor third 8: 2 6/5 315.641 cents minor third 8: 2 98/81 329.832 cents 8: 12 60/49 350.617 cents smaller approximation to neutral third 8: 10 49/40 351.338 cents larger approximation to neutral third 9: 1 98/81 329.832 cents 9: 1 49/40 351.338 cents larger approximation to neutral third 9: 1 100/81 364.807 cents grave major third 9: 1 1280/1029 377.881 cents 9: 5 56/45 378.602 cents septimal narrow major third 9: 11 5/4 386.314 cents major third 9: 3 432/343 399.387 cents 9: 4 63/50 400.108 cents quasi-equal major third 9: 1 9/7 435.084 cents septimal major third, BP third 10: 7 80/63 413.578 cents wide major third 10: 5 343/270 414.299 cents 10: 13 9/7 435.084 cents septimal major third, BP third 10: 1 1029/800 435.805 cents 10: 2 21/16 470.781 cents narrow fourth 11: 6 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 11: 4 64/49 462.348 cents 2 septatones or septatonic major third 11: 4 98/75 463.069 cents 11: 3 450/343 470.060 cents 11: 4 21/16 470.781 cents narrow fourth 11: 2 324/245 483.854 cents 11: 2 4/3 498.045 cents perfect fourth 11: 1 343/256 506.478 cents 11: 2 27/20 519.551 cents acute fourth 12: 15 4/3 498.045 cents perfect fourth 12: 1 2401/1800 498.766 cents 12: 2 3240/2401 518.830 cents 12: 2 27/20 519.551 cents acute fourth 12: 1 200/147 533.021 cents 12: 3 49/36 533.742 cents Arabic lute acute fourth 12: 2 135/98 554.527 cents 12: 2 441/320 555.248 cents 13: 3 200/147 533.021 cents 13: 5 49/36 533.742 cents Arabic lute acute fourth 13: 7 48/35 546.815 cents septimal semi-augmented fourth 13: 2 135/98 554.527 cents 13: 1 25/18 568.717 cents classic augmented fourth 13: 1 2401/1728 569.439 cents 13: 1 480/343 581.791 cents 13: 6 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 13: 2 45/32 590.224 cents diatonic tritone 14: 6 480/343 581.791 cents 14: 8 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 14: 8 10/7 617.488 cents Euler's tritone 14: 6 343/240 618.209 cents 15: 2 64/45 609.776 cents 2nd tritone 15: 6 10/7 617.488 cents Euler's tritone 15: 1 343/240 618.209 cents 15: 1 3456/2401 630.561 cents 15: 1 36/25 631.283 cents classic diminished fifth 15: 2 196/135 645.473 cents 15: 7 35/24 653.185 cents septimal semi-diminished fifth 15: 5 72/49 666.258 cents Arabic lute grave fifth 15: 3 147/100 666.979 cents 16: 2 640/441 644.752 cents 16: 2 196/135 645.473 cents 16: 3 72/49 666.258 cents Arabic lute grave fifth 16: 1 147/100 666.979 cents 16: 2 40/27 680.449 cents grave fifth 16: 2 2401/1620 681.170 cents 16: 1 3600/2401 701.234 cents two (smaller approximation to neutral third) 16: 15 3/2 701.955 cents perfect fifth 17: 2 40/27 680.449 cents grave fifth 17: 1 512/343 693.522 cents 3 septatones or septatonic fifth 17: 2 3/2 701.955 cents perfect fifth 17: 2 245/162 716.146 cents 17: 4 32/21 729.219 cents wide fifth 17: 3 343/225 729.940 cents 17: 4 75/49 736.931 cents BP fifth 17: 4 49/32 737.652 cents 17: 6 54/35 750.725 cents septimal semi-augmented fifth 18: 2 32/21 729.219 cents wide fifth 18: 1 1600/1029 764.195 cents 18: 13 14/9 764.916 cents septimal minor sixth 18: 5 540/343 785.701 cents 18: 7 63/40 786.422 cents narrow minor sixth 19: 1 14/9 764.916 cents septimal minor sixth 19: 4 100/63 799.892 cents quasi-equal minor sixth 19: 3 343/216 800.613 cents 19: 11 8/5 813.686 cents minor sixth 19: 5 45/28 821.398 cents septimale wide minor sixth 19: 1 1029/640 822.119 cents 19: 1 81/50 835.193 cents acute minor sixth 19: 1 80/49 848.662 cents smaller approximation to neutral sixth 19: 1 81/49 870.168 cents two (septimal major third, BP third) 20: 10 80/49 848.662 cents smaller approximation to neutral sixth 20: 12 49/30 849.383 cents larger approximation to neutral sixth 20: 2 81/49 870.168 cents two (septimal major third, BP third) 20: 2 5/3 884.359 cents major sixth, BP sixth 20: 2 27/16 905.865 cents Pythagorean major sixth 21: 2 224/135 876.647 cents narrow septimal major sixth 21: 10 5/3 884.359 cents major sixth, BP sixth 21: 1 2401/1440 885.080 cents 21: 3 576/343 897.432 cents 21: 4 42/25 898.153 cents quasi-equal major sixth 21: 1 4050/2401 905.144 cents 21: 1 245/144 920.056 cents 21: 4 12/7 933.129 cents septimal major sixth 21: 1 343/200 933.850 cents 21: 1 441/256 941.562 cents two (narrow fourth) 22: 2 320/189 911.623 cents 22: 2 686/405 912.344 cents 22: 13 12/7 933.129 cents septimal major sixth 22: 1 343/200 933.850 cents 22: 1 600/343 968.105 cents 22: 9 7/4 968.826 cents harmonic seventh 23: 2 140/81 947.320 cents 23: 2 256/147 960.393 cents 23: 1 392/225 961.114 cents 23: 3 600/343 968.105 cents 23: 4 7/4 968.826 cents harmonic seventh 23: 3 432/245 981.899 cents 23: 2 16/9 996.090 cents Pythagorean minor seventh 23: 1 2401/1350 996.811 cents 23: 2 25/14 1003.802 cents middle minor seventh 23: 3 343/192 1004.523 cents 23: 5 9/5 1017.596 cents just minor seventh, BP seventh 24: 6 16/9 996.090 cents Pythagorean minor seventh 24: 2 4320/2401 1016.875 cents 24: 4 9/5 1017.596 cents just minor seventh, BP seventh 24: 1 800/441 1031.066 cents 24: 5 49/27 1031.787 cents 24: 5 90/49 1052.572 cents 24: 5 147/80 1053.293 cents 25: 1 800/441 1031.066 cents 25: 2 49/27 1031.787 cents 25: 3 64/35 1044.860 cents septimal neutral seventh 25: 2 90/49 1052.572 cents 25: 1 147/80 1053.293 cents 25: 2 50/27 1066.762 cents grave major seventh 25: 1 2401/1296 1067.484 cents two (Arabic lute acute fourth) 25: 1 640/343 1079.836 cents 25: 6 28/15 1080.557 cents grave major seventh 25: 5 15/8 1088.269 cents classic major seventh 25: 2 648/343 1101.342 cents 25: 2 189/100 1102.063 cents 26: 2 640/343 1079.836 cents 26: 4 28/15 1080.557 cents grave major seventh 26: 8 40/21 1115.533 cents acute major seventh 26: 6 343/180 1116.254 cents 26: 8 27/14 1137.039 cents septimal major seventh 27: 2 40/21 1115.533 cents acute major seventh 27: 1 343/180 1116.254 cents 27: 7 35/18 1151.230 cents septimal semi-diminished octave 27: 8 96/49 1164.303 cents 27: 6 49/25 1165.024 cents BP eighth 27: 2 675/343 1172.015 cents 27: 2 63/32 1172.736 cents octave - septimal comma Highest number of different intervals for one interval class: 12 Average number of different intervals per interval class: 7.77778 = 70/9
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 0.0 : 35.7 84.5 119.4 147.4 182.4 231.2 266.9 315.6 351.3 435.1 470.8 498.0 533.7 582.5 617.5 666.3 702.0 729.2 764.9 849.4 884.4 933.1 968.8 1017.6 1052.6 1080.6 1115.5 1200.0 35.7 : 48.8 83.7 111.7 146.7 195.5 231.2 279.9 315.6 399.4 435.1 462.3 498.0 546.8 581.8 630.6 666.3 693.5 729.2 813.7 848.7 897.4 933.1 981.9 1016.9 1044.9 1079.8 1164.3 1200.0 84.5 : 35.0 63.0 97.9 146.7 182.4 231.2 266.9 350.6 386.3 413.6 449.3 498.0 533.0 581.8 617.5 644.8 680.4 764.9 799.9 848.7 884.4 933.1 968.1 996.1 1031.1 1115.5 1151.2 1200.0 119.4 : 28.0 63.0 111.7 147.4 196.2 231.9 315.6 351.3 378.6 414.3 463.1 498.0 546.8 582.5 609.8 645.5 729.9 764.9 813.7 849.4 898.2 933.1 961.1 996.1 1080.6 1116.3 1165.0 1200.0 147.4 : 35.0 83.7 119.4 168.2 203.9 287.7 323.4 350.6 386.3 435.1 470.1 518.8 554.5 581.8 617.5 702.0 736.9 785.7 821.4 870.2 905.1 933.1 968.1 1052.6 1088.3 1137.0 1172.0 1200.0 182.4 : 48.8 84.5 133.2 168.9 252.7 288.4 315.6 351.3 400.1 435.1 483.9 519.6 546.8 582.5 667.0 702.0 750.7 786.4 835.2 870.2 898.2 933.1 1017.6 1053.3 1102.1 1137.0 1165.0 1200.0 231.2 : 35.7 84.5 120.2 203.9 239.6 266.9 302.6 351.3 386.3 435.1 470.8 498.0 533.7 618.2 653.2 702.0 737.7 786.4 821.4 849.4 884.4 968.8 1004.5 1053.3 1088.3 1116.3 1151.2 1200.0 266.9 : 48.8 84.5 168.2 203.9 231.2 266.9 315.6 350.6 399.4 435.1 462.3 498.0 582.5 617.5 666.3 702.0 750.7 785.7 813.7 848.7 933.1 968.8 1017.6 1052.6 1080.6 1115.5 1164.3 1200.0 315.6 : 35.7 119.4 155.1 182.4 218.1 266.9 301.8 350.6 386.3 413.6 449.3 533.7 568.7 617.5 653.2 702.0 736.9 764.9 799.9 884.4 920.1 968.8 1003.8 1031.8 1066.8 1115.5 1151.2 1200.0 351.3 : 83.7 119.4 146.7 182.4 231.2 266.1 314.9 350.6 377.9 413.6 498.0 533.0 581.8 617.5 666.3 701.2 729.2 764.2 848.7 884.4 933.1 968.1 996.1 1031.1 1079.8 1115.5 1164.3 1200.0 435.1 : 35.7 63.0 98.7 147.4 182.4 231.2 266.9 294.1 329.8 414.3 449.3 498.0 533.7 582.5 617.5 645.5 680.4 764.9 800.6 849.4 884.4 912.3 947.3 996.1 1031.8 1080.6 1116.3 1200.0 470.8 : 27.3 63.0 111.7 146.7 195.5 231.2 258.4 294.1 378.6 413.6 462.3 498.0 546.8 581.8 609.8 644.8 729.2 764.9 813.7 848.7 876.6 911.6 960.4 996.1 1044.9 1080.6 1164.3 1200.0 498.0 : 35.7 84.5 119.4 168.2 203.9 231.2 266.9 351.3 386.3 435.1 470.8 519.6 554.5 582.5 617.5 702.0 737.7 786.4 821.4 849.4 884.4 933.1 968.8 1017.6 1053.3 1137.0 1172.7 1200.0 533.7 : 48.8 83.7 132.5 168.2 195.5 231.2 315.6 350.6 399.4 435.1 483.9 518.8 546.8 581.8 666.3 702.0 750.7 785.7 813.7 848.7 897.4 933.1 981.9 1017.6 1101.3 1137.0 1164.3 1200.0 582.5 : 35.0 83.7 119.4 146.7 182.4 266.9 301.8 350.6 386.3 435.1 470.1 498.0 533.0 617.5 653.2 702.0 736.9 764.9 799.9 848.7 884.4 933.1 968.8 1052.6 1088.3 1115.5 1151.2 1200.0 617.5 : 48.8 84.5 111.7 147.4 231.9 266.9 315.6 351.3 400.1 435.1 463.1 498.0 582.5 618.2 667.0 702.0 729.9 764.9 813.7 849.4 898.2 933.9 1017.6 1053.3 1080.6 1116.3 1165.0 1200.0 666.3 : 35.7 63.0 98.7 183.1 218.1 266.9 302.6 351.3 386.3 414.3 449.3 533.7 569.4 618.2 653.2 681.2 716.1 764.9 800.6 849.4 885.1 968.8 1004.5 1031.8 1067.5 1116.3 1151.2 1200.0 702.0 : 27.3 63.0 147.4 182.4 231.2 266.9 315.6 350.6 378.6 413.6 498.0 533.7 582.5 617.5 645.5 680.4 729.2 764.9 813.7 849.4 933.1 968.8 996.1 1031.8 1080.6 1115.5 1164.3 1200.0 729.2 : 35.7 120.2 155.1 203.9 239.6 288.4 323.4 351.3 386.3 470.8 506.5 555.2 590.2 618.2 653.2 702.0 737.7 786.4 822.1 905.9 941.6 968.8 1004.5 1053.3 1088.3 1137.0 1172.7 1200.0 764.9 : 84.5 119.4 168.2 203.9 252.7 287.7 315.6 350.6 435.1 470.8 519.6 554.5 582.5 617.5 666.3 702.0 750.7 786.4 870.2 905.9 933.1 968.8 1017.6 1052.6 1101.3 1137.0 1164.3 1200.0 849.4 : 35.0 83.7 119.4 168.2 203.2 231.2 266.1 350.6 386.3 435.1 470.1 498.0 533.0 581.8 617.5 666.3 702.0 785.7 821.4 848.7 884.4 933.1 968.1 1016.9 1052.6 1079.8 1115.5 1200.0 884.4 : 48.8 84.5 133.2 168.2 196.2 231.2 315.6 351.3 400.1 435.1 463.1 498.0 546.8 582.5 631.3 667.0 750.7 786.4 813.7 849.4 898.2 933.1 981.9 1017.6 1044.9 1080.6 1165.0 1200.0 933.1 : 35.7 84.5 119.4 147.4 182.4 266.9 302.6 351.3 386.3 414.3 449.3 498.0 533.7 582.5 618.2 702.0 737.7 764.9 800.6 849.4 884.4 933.1 968.8 996.1 1031.8 1116.3 1151.2 1200.0 968.8 : 48.8 83.7 111.7 146.7 231.2 266.9 315.6 350.6 378.6 413.6 462.3 498.0 546.8 582.5 666.3 702.0 729.2 764.9 813.7 848.7 897.4 933.1 960.4 996.1 1080.6 1115.5 1164.3 1200.0 1017.6: 35.0 63.0 97.9 182.4 218.1 266.9 301.8 329.8 364.8 413.6 449.3 498.0 533.7 617.5 653.2 680.4 716.1 764.9 799.9 848.7 884.4 911.6 947.3 1031.8 1066.8 1115.5 1151.2 1200.0 1052.6: 28.0 63.0 147.4 183.1 231.9 266.9 294.9 329.8 378.6 414.3 463.1 498.8 582.5 618.2 645.5 681.2 729.9 764.9 813.7 849.4 876.6 912.3 996.8 1031.8 1080.6 1116.3 1165.0 1200.0 1080.6: 35.0 119.4 155.1 203.9 238.9 266.9 301.8 350.6 386.3 435.1 470.8 554.5 590.2 617.5 653.2 702.0 736.9 785.7 821.4 848.7 884.4 968.8 1003.8 1052.6 1088.3 1137.0 1172.0 1200.0 1115.5: 84.5 120.2 168.9 203.9 231.9 266.9 315.6 351.3 400.1 435.8 519.6 555.2 582.5 618.2 667.0 702.0 750.7 786.4 813.7 849.4 933.9 968.8 1017.6 1053.3 1102.1 1137.0 1165.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 27.2641 .. 84.4672 cents 1323/1280, 57.2031 cents 64/63, 27.2641 cents 2: 62.9609 .. 120.1640 cents 1323/1280, 57.2031 cents 80/81,-21.5063 cents 3: 97.9365 .. 168.9344 cents 83349/80000, 70.9979 cents 64000/64827,-22.2275 cents 4: 146.7069 .. 203.9100 cents 1323/1280, 57.2031 cents 64000/64827,-22.2275 cents 5: 182.4037 .. 252.6804 cents 729/700, 70.2767 cents 80/81,-21.5063 cents 6: 231.1741 .. 288.3772 cents 1323/1280, 57.2031 cents 80/81,-21.5063 cents 7: 258.4382 .. 323.3528 cents 8505/8192, 64.9146 cents 81920/83349,-29.9390 cents 8: 294.1350 .. 351.3381 cents 1323/1280, 57.2031 cents 3584/3645,-29.2178 cents 9: 329.8318 .. 435.0841 cents 729/686, 105.2523 cents 80/81,-21.5063 cents 10: 413.5778 .. 470.7809 cents 1323/1280, 57.2031 cents 80/81,-21.5063 cents 11: 449.2746 .. 519.5513 cents 729/700, 70.2767 cents 80/81,-21.5063 cents 12: 498.0450 .. 555.2481 cents 1323/1280, 57.2031 cents 80/81,-21.5063 cents 13: 533.0206 .. 590.2237 cents 1323/1280, 57.2031 cents 64000/64827,-22.2275 cents 14: 581.7910 .. 618.2090 cents 117649/115200, 36.4180 cents 1024/1029,-8.4327 cents 15: 609.7763 .. 666.9794 cents 1323/1280, 57.2031 cents 1024/1029,-8.4327 cents 16: 644.7519 .. 701.9550 cents 1323/1280, 57.2031 cents 64000/64827,-22.2275 cents 17: 680.4487 .. 750.7254 cents 729/700, 70.2767 cents 80/81,-21.5063 cents 18: 729.2191 .. 786.4222 cents 1323/1280, 57.2031 cents 80/81,-21.5063 cents 19: 764.9159 .. 870.1682 cents 729/686, 105.2523 cents 80/81,-21.5063 cents 20: 848.6619 .. 905.8650 cents 1323/1280, 57.2031 cents 80/81,-21.5063 cents 21: 876.6472 .. 941.5618 cents 8505/8192, 64.9146 cents 3584/3645,-29.2178 cents 22: 911.6228 .. 968.8259 cents 1323/1280, 57.2031 cents 81920/83349,-29.9390 cents 23: 947.3196 .. 1017.5963 cents 729/700, 70.2767 cents 80/81,-21.5063 cents 24: 996.0900 .. 1053.2931 cents 1323/1280, 57.2031 cents 80/81,-21.5063 cents 25: 1031.0656 .. 1102.0635 cents 83349/80000, 70.9979 cents 64000/64827,-22.2275 cents 26: 1079.8360 .. 1137.0391 cents 1323/1280, 57.2031 cents 64000/64827,-22.2275 cents 27: 1115.5328 .. 1172.7359 cents 1323/1280, 57.2031 cents 80/81,-21.5063 cents
SHOW DATA
Number of notes : 28 -- Interval properties -- Smallest interval : 64/63, 27.2641 cents, class 1 Average step (divided formal octave): 42.8571 cents Largest one step interval : 21/20, 84.4672 cents Average / Smallest step : 1.571926 Largest / Average step : 1.970901 Largest / Smallest step : 3.098111 Median interval of one step : 49/48, 35.6968 cents, amount: 8 Most common interval of one step : 49/48, 35.6968 cents, amount: 8 Least squares average step : 41.74790 cents, oct.: 1168.94131 cents Scale is not proper Step pattern alph. order: ABCDCBABAEAFABCBAFAGCBABCDCG Step pattern size order : DECBCEDEDFDADECEDADGCEDECBCG Scale is not a Constant Structure Scale diversity : 1.356732 Lumma stability : 0.045440 Lumma impropriety factor : 0.474693 Number of different interval sizes : 158 = 5.85185 / class Number of one step interval sizes : 7 Highest interval variety : 12 Mean interval variety : 7.77778 = 70/9 Median interval variety : 7 Lowest interval variety : 4 Smallest interval difference : 2401/2400, 0.7212 cents Most common triad is 0.0 498.045 933.129 cents, amount: 12 Number of recognisable fifths : 21, average 702.8706 cents Number of appreciable fifths : 19, average 701.4732 cents Scale contains a complete diamond : 3 5 7 9 21 Length of longest harmonic part : 1 at degree 0 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 25 = 89.2857% Scale is differentially coherent in interval classes 1 and 2 combined -- Rational properties -- Prime limit : 7 Odd number limit : 2401 (O: 2401 U: 2401) Highest odd numerator or denominator: 49 Scale harmonicity : 0.013585 Average absolute harmonicity : 0.104737 Specific harmonicity : 0.081970 Fundamental : 1/35280, -15.1066 octaves, 0.0074 Hz. Guide tone : 70560, 16.1066 octaves, 18460299.888 Hz. Exponens Consonantiae : 2.489357E+09, 31.21313 octaves Euler's gradus suavitatis : 50 Sum of Mann's harmonic distance : 580.5, average 20.73214 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 30.71217, average 1.09686 Sum of Tenney's harmonic distance : 61.91037, average 2.21108 Vogel's harmonic complexity : 30.10714 Wille's k value : 23152 Wilson's harmonic complexity : 50 Rectangular lattice diameter : 10 Triangular lattice diameter : 6 Lattice compactness : 1500.42432, average 3.69563 Lattice compactness (without 2's) : 995.91291, average 2.45299 Number of different primes : 4 Prime exponents' range, average, count, tones@limit: 2: -4 .. 5 0.17857 47 1 3: -2 .. 2 -0.07143 30 2 5: -1 .. 1 -0.07143 14 4 7: -2 .. 2 0.21429 28 21 Average exponent except 2's : 2 / 28 = 0.07143 Average absolute exponent except 2's: 72 / 28 = 2.57143
FIT/MODE
28: 0 1 1 1 1 1 1 1 1 2 0 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 0 3 N SD: 27.1020 c. M: 44.1042 c. 29: 0 1 1 1 1 1 1 1 1 2 1 0 1 1 1 1 1 1 1 2 1 1 1 1 1 0 1 3 N SD: 30.2208 c. M: 46.0744 c. 30: 1 1 1 1 1 1 1 1 1 2 1 0 1 2 0 2 1 0 1 2 1 1 1 1 1 1 1 2 N SD: 11.2677 c. M:-18.0450 c. 31: 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 P D3 SD: 6.1381 c. M: 11.1447 c. 41: 1 2 1 1 1 2 1 2 1 3 1 1 1 2 1 2 1 1 1 3 1 2 1 2 1 1 1 3 N SD: 3.9948 c. M: 6.9125 c. 58: 2 2 2 1 2 2 2 2 2 4 2 1 2 2 2 2 2 1 2 4 2 2 2 2 2 1 2 4 N SD: 3.4283 c. M:-5.6825 c. 72: 2 3 2 2 2 3 2 3 2 5 2 2 2 3 2 3 2 2 2 5 2 3 2 3 2 2 2 5 N SD: 1.9041 c. M: 4.1142 c. 99: 3 4 3 2 3 4 3 4 3 7 3 2 3 4 3 4 3 2 3 7 3 4 3 4 3 2 3 7 N SD: 1.0832 c. M:-1.9736 c. 171: 5 7 5 4 5 7 5 7 5 12 5 4 5 7 5 7 5 4 5 12 5 7 5 7 5 4 5 12 N SD: 0.2956 c. M: 0.6091 c. 441: 13 18 13 10 13 18 13 18 13 31 13 10 13 18 13 18 13 10 13 31 13 18 13 18 13 10 13 31 N SD: 0.2508 c. M:-0.4893 c. 571: 17 23 17 13 17 23 17 23 17 40 17 13 17 23 17 23 17 13 17 40 17 23 17 23 17 13 17 40 N SD: 0.2696 c. M: 0.4334 c. 612: 18 25 18 14 18 25 18 25 18 43 18 14 18 25 18 25 18 14 18 43 18 25 18 25 18 14 18 43 N SD: 0.2326 c. M: 0.4085 c. 742: 22 30 22 17 22 30 22 30 22 52 22 17 22 30 22 30 22 17 22 52 22 30 22 30 22 17 22 52 N SD: 0.2281 c. M: 0.3947 c. 836: 25 34 24 20 24 34 25 34 25 58 25 19 25 34 24 34 25 19 25 59 24 34 25 34 24 20 24 59 N SD: 0.2177 c. M:-0.4188 c. 913: 27 37 27 21 27 37 27 37 27 64 27 21 27 37 27 37 27 21 27 64 27 37 27 37 27 21 27 64 N SD: 0.2154 c. M: 0.4071 c. 935: 28 38 27 22 27 38 28 38 28 65 28 21 28 38 27 38 28 21 28 66 27 38 28 38 27 22 27 66 N SD: 0.1641 c. M:-0.3197 c. 1106: 33 45 32 26 32 45 33 45 33 77 33 25 33 45 32 45 33 25 33 78 32 45 33 45 32 26 32 78 N SD: 0.1055 c. M:-0.1990 c. 1277: 38 52 37 30 37 52 38 52 38 89 38 29 38 52 37 52 38 29 38 90 37 52 38 52 37 30 37 90 N SD: 0.0734 c. M:-0.1106 c. 1448: 43 59 42 34 42 59 43 59 43 101 43 33 43 59 42 59 43 33 43 102 42 59 43 59 42 34 42 102 N SD: 0.0658 c. M: 0.1058 c. 1547: 46 63 45 36 45 63 46 63 46 108 46 35 46 63 45 63 46 35 46 109 45 63 46 63 45 36 45 109 N SD: 0.0587 c. M: 0.1154 c. 1677: 50 68 49 39 49 68 50 68 50 117 50 38 50 68 49 68 50 38 50 118 49 68 50 68 49 39 49 118 N SD: 0.0481 c. M:-0.0814 c. 1848: 55 75 54 43 54 75 55 75 55 129 55 42 55 75 54 75 55 42 55 130 54 75 55 75 54 43 54 130 N SD: 0.0345 c. M: 0.0638 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: 8.7439 cents 5 .. 10 match: 5 H SD: 7.1394 cents 6 .. 12 match: 6 H SD: 0.5348 cents 7 .. 14 match: 7 H SD: 2.8116 cents 8 .. 16 match: 8 H SD: 5.7725 cents 9 .. 18 match: 9 H SD: 3.6069 cents 10 .. 20 match: 10 H SD: 4.5608 cents 11 .. 22 match: 11 H SD: 3.8180 cents 12 .. 24 match: 12 H SD: 4.2305 cents 13 .. 26 match: 13 H SD: 4.0424 cents 14 .. 28 match: 14 H SD: 2.6710 cents 15 .. 30 match: 14 SD: 3.1964 cents 16 .. 32 match: 15 S SD: 3.9175 cents 17 .. 34 match: 15 S SD: 3.0397 cents 18 .. 36 match: 17 S SD: 2.6822 cents 19 .. 38 match: 18 S SD: 3.0656 cents 20 .. 40 match: 18 SD: 3.2260 cents 21 .. 42 match: 20 S SD: 2.2979 cents 22 .. 44 match: 20 S SD: 2.6748 cents 23 .. 46 match: 20 S SD: 2.5846 cents 24 .. 48 match: 21 SD: 2.2512 cents 25 .. 50 match: 23 SD: 2.1595 cents 26 .. 52 match: 23 SD: 2.8830 cents 27 .. 54 match: 22 SD: 2.4330 cents 28 .. 56 match: 24 SD: 2.1886 cents 29 .. 58 match: 23 SD: 2.4389 cents 30 .. 60 match: 25 SD: 1.9175 cents 31 .. 62 match: 24 SD: 2.1904 cents 32 .. 64 match: 26 SD: 2.1022 cents 33 .. 66 match: 25 SD: 2.3722 cents 34 .. 68 match: 26 SD: 2.0850 cents 35 .. 70 match: 26 SD: 1.5754 cents 36 .. 72 match: 27 SD: 1.3492 cents 37 .. 74 match: 25 SD: 2.0559 cents 38 .. 76 match: 27 SD: 1.7451 cents 39 .. 78 match: 26 SD: 1.7262 cents 40 .. 80 match: 26 SD: 1.6118 cents 41 .. 82 match: 27 SD: 1.6046 cents 42 .. 84 match: 28 SD: 1.3097 cents 44 .. 88 match: 28 SD: 1.2947 cents 49 .. 98 match: 27 SD: 1.3718 cents 50 .. 100 match: 27 SD: 1.4918 cents 52 .. 104 match: 28 SD: 1.3301 cents 53 .. 106 match: 28 SD: 1.2881 cents 54 .. 108 match: 28 SD: 1.0789 cents 55 .. 110 match: 28 SD: 1.0262 cents 60 .. 120 match: 28 SD: 1.0036 cents 66 .. 132 match: 28 SD: 0.9816 cents 70 .. 140 match: 28 SD: 0.9214 cents 77 .. 154 match: 28 SD: 0.9148 cents 79 .. 158 match: 28 SD: 0.8939 cents 80 .. 160 match: 28 SD: 0.7261 cents 84 .. 168 match: 28 SD: 0.6491 cents 96 .. 192 match: 28 SD: 0.6465 cents 98 .. 196 match: 28 SD: 0.5870 cents 112 .. 224 match: 28 SD: 0.5851 cents 115 .. 230 match: 28 SD: 0.5387 cents 124 .. 248 match: 28 SD: 0.5179 cents 125 .. 250 match: 28 SD: 0.4982 cents 126 .. 252 match: 28 SD: 0.4503 cents 138 .. 276 match: 28 SD: 0.4497 cents 144 .. 288 match: 28 SD: 0.3949 cents 155 .. 310 match: 28 SD: 0.3756 cents 156 .. 312 match: 28 SD: 0.3743 cents 160 .. 320 match: 28 SD: 0.3586 cents 179 .. 358 match: 28 SD: 0.3463 cents 180 .. 360 match: 28 SD: 0.2921 cents 196 .. 392 match: 28 SD: 0.2648 cents 224 .. 448 match: 28 SD: 0.2491 cents 240 .. 480 match: 28 SD: 0.2093 cents 280 .. 560 match: 28 SD: 0.1881 cents 294 .. 588 match: 28 SD: 0.1511 cents 336 .. 672 match: 28 SD: 0.1360 cents 396 .. 792 match: 28 SD: 0.1340 cents 420 .. 840 match: 28 SD: 0.1156 cents 480 .. 960 match: 28 SD: 0.1112 cents 504 .. 1008 match: 28 SD: 0.1110 cents 515 .. 1030 match: 28 SD: 0.1089 cents 540 .. 1080 match: 28 SD: 0.1008 cents 560 .. 1120 match: 28 SD: 0.0869 cents