Scala analysis: sensidia
Detempered Sensi[27]; contains 7-limit diamond
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 28/27 62.960904 Archytas' 1/3-tone 2: 21/20 84.467193 minor semitone 3: 15/14 119.442808 major diatonic semitone 4: 10/9 182.403712 minor whole tone 5: 8/7 231.174094 septimal whole tone 6: 7/6 266.870906 septimal minor third 7: 6/5 315.641287 minor third 8: 56/45 378.602191 septimal narrow major third 9: 5/4 386.313714 major third 10: 9/7 435.084095 septimal major third, BP third 11: 4/3 498.044999 perfect fourth 12: 27/20 519.551289 acute fourth 13: 7/5 582.512193 septimal or Huygens' tritone, BP fourth 14: 10/7 617.487807 Euler's tritone 15: 40/27 680.448711 grave fifth 16: 3/2 701.955001 perfect fifth 17: 14/9 764.915905 septimal minor sixth 18: 8/5 813.686286 minor sixth 19: 45/28 821.397809 septimale wide minor sixth 20: 5/3 884.358713 major sixth, BP sixth 21: 12/7 933.129094 septimal major sixth 22: 7/4 968.825906 harmonic seventh 23: 9/5 1017.596288 just minor seventh, BP seventh 24: 28/15 1080.557192 grave major seventh 25: 40/21 1115.532807 acute major seventh 26: 27/14 1137.039096 septimal major seventh 27: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 28/27 62.9609 Archytas' 1/3-tone 1: 28/27 62.9609 Archytas' 1/3-tone 2: 81/80 21.5063 syntonic comma, Didymus comma 3: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 4: 28/27 62.9609 Archytas' 1/3-tone 5: 36/35 48.7704 septimal diesis, 1/4-tone 6: 49/48 35.6968 slendro diesis, septimal 1/6-tone 7: 36/35 48.7704 septimal diesis, 1/4-tone 8: 28/27 62.9609 Archytas' 1/3-tone 9: 225/224 7.7115 septimal kleisma 10: 36/35 48.7704 septimal diesis, 1/4-tone 11: 28/27 62.9609 Archytas' 1/3-tone 12: 81/80 21.5063 syntonic comma, Didymus comma 13: 28/27 62.9609 Archytas' 1/3-tone 14: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 15: 28/27 62.9609 Archytas' 1/3-tone 16: 81/80 21.5063 syntonic comma, Didymus comma 17: 28/27 62.9609 Archytas' 1/3-tone 18: 36/35 48.7704 septimal diesis, 1/4-tone 19: 225/224 7.7115 septimal kleisma 20: 28/27 62.9609 Archytas' 1/3-tone 21: 36/35 48.7704 septimal diesis, 1/4-tone 22: 49/48 35.6968 slendro diesis, septimal 1/6-tone 23: 36/35 48.7704 septimal diesis, 1/4-tone 24: 28/27 62.9609 Archytas' 1/3-tone 25: 50/49 34.9756 Erlich's decatonic comma, tritonic diesis 26: 81/80 21.5063 syntonic comma, Didymus comma 27: 28/27 62.9609 Archytas' 1/3-tone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 225/224 7.712 cents septimal kleisma 1: 4 81/80 21.506 cents syntonic comma, Didymus comma 1: 3 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: 6 36/35 48.770 cents septimal diesis, 1/4-tone 1: 10 28/27 62.961 cents Archytas' 1/3-tone 2: 4 405/392 56.482 cents greenwoodma 2: 2 25/24 70.672 cents classic chromatic semitone, minor chroma 2: 10 21/20 84.467 cents minor semitone 2: 4 200/189 97.937 cents 2: 6 16/15 111.731 cents minor diatonic semitone 2: 1 784/729 125.922 cents two (Archytas' 1/3-tone) 3: 12 15/14 119.443 cents major diatonic semitone 3: 4 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 3: 2 160/147 146.707 cents 3: 8 49/45 147.428 cents BP minor semitone 3: 1 800/729 160.897 cents grave whole tone 4: 2 243/224 140.949 cents Archytas' 2/3-tone 4: 2 35/32 155.140 cents septimal neutral second 4: 4 54/49 168.213 cents Zalzal's mujannab 4: 1 441/400 168.934 cents two (minor semitone) 4: 12 10/9 182.404 cents minor whole tone 4: 6 28/25 196.198 cents middle second 5: 13 9/8 203.910 cents major whole tone 5: 8 8/7 231.174 cents septimal whole tone 5: 4 280/243 245.365 cents 5: 2 784/675 259.159 cents 6: 3 225/196 238.886 cents two (major diatonic semitone) 6: 6 81/70 252.680 cents Al-Hwarizmi's lute middle finger 6: 12 7/6 266.871 cents septimal minor third 6: 6 32/27 294.135 cents Pythagorean minor third 7: 2 189/160 288.377 cents 7: 8 25/21 301.847 cents BP second, quasi-equal minor third 7: 14 6/5 315.641 cents minor third 7: 3 98/81 329.832 cents 8: 4 135/112 323.353 cents septimal wide minor third 8: 2 243/200 337.148 cents acute minor third 8: 6 60/49 350.617 cents smaller approximation to neutral third 8: 4 49/40 351.338 cents larger approximation to neutral third 8: 3 100/81 364.807 cents grave major third 8: 8 56/45 378.602 cents septimal narrow major third 9: 2 243/196 372.123 cents 9: 10 5/4 386.314 cents major third 9: 6 63/50 400.108 cents quasi-equal major third 9: 6 80/63 413.578 cents wide major third 9: 1 32/25 427.373 cents classic diminished fourth 9: 2 1568/1215 441.563 cents 10: 14 9/7 435.084 cents septimal major third, BP third 10: 8 35/27 449.275 cents septimal semi-diminished fourth, 9/4-tone 10: 1 64/49 462.348 cents 2 septatones or septatonic major third 10: 4 98/75 463.069 cents 11: 1 2025/1568 442.796 cents 11: 2 729/560 456.590 cents 11: 4 21/16 470.781 cents narrow fourth 11: 20 4/3 498.045 cents perfect fourth 12: 4 75/56 505.757 cents marvelous fourth 12: 8 27/20 519.551 cents acute fourth 12: 2 200/147 533.021 cents 12: 3 49/36 533.742 cents Arabic lute acute fourth 12: 4 48/35 546.815 cents septimal semi-augmented fourth 12: 6 112/81 561.006 cents 13: 6 135/98 554.527 cents 13: 3 25/18 568.717 cents classic augmented fourth 13: 14 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 13: 2 800/567 595.982 cents 13: 2 64/45 609.776 cents 2nd tritone 14: 2 45/32 590.224 cents diatonic tritone 14: 2 567/400 604.018 cents 14: 14 10/7 617.488 cents Euler's tritone 14: 3 36/25 631.283 cents classic diminished fifth 14: 6 196/135 645.473 cents 15: 6 81/56 638.994 cents 15: 4 35/24 653.185 cents septimal semi-diminished fifth 15: 3 72/49 666.258 cents Arabic lute grave fifth 15: 2 147/100 666.979 cents 15: 8 40/27 680.449 cents grave fifth 15: 4 112/75 694.243 cents marvelous fifth 16: 20 3/2 701.955 cents perfect fifth 16: 4 32/21 729.219 cents wide fifth 16: 2 1120/729 743.410 cents 16: 1 3136/2025 757.204 cents two (septimal narrow major third) 17: 4 75/49 736.931 cents BP fifth 17: 1 49/32 737.652 cents 17: 8 54/35 750.725 cents septimal semi-augmented fifth 17: 14 14/9 764.916 cents septimal minor sixth 18: 2 1215/784 758.437 cents 18: 1 25/16 772.627 cents classic augmented fifth 18: 6 63/40 786.422 cents narrow minor sixth 18: 6 100/63 799.892 cents quasi-equal minor sixth 18: 10 8/5 813.686 cents minor sixth 18: 2 392/243 827.877 cents 19: 8 45/28 821.398 cents septimale wide minor sixth 19: 3 81/50 835.193 cents acute minor sixth 19: 4 80/49 848.662 cents smaller approximation to neutral sixth 19: 6 49/30 849.383 cents larger approximation to neutral sixth 19: 2 400/243 862.852 cents grave major sixth 19: 4 224/135 876.647 cents narrow septimal major sixth 20: 3 81/49 870.168 cents two (septimal major third, BP third) 20: 14 5/3 884.359 cents major sixth, BP sixth 20: 8 42/25 898.153 cents quasi-equal major sixth 20: 2 320/189 911.623 cents 21: 6 27/16 905.865 cents Pythagorean major sixth 21: 12 12/7 933.129 cents septimal major sixth 21: 6 140/81 947.320 cents 21: 3 392/225 961.114 cents 22: 2 675/392 940.841 cents 22: 4 243/140 954.635 cents 22: 8 7/4 968.826 cents harmonic seventh 22: 13 16/9 996.090 cents Pythagorean minor seventh 23: 6 25/14 1003.802 cents middle minor seventh 23: 12 9/5 1017.596 cents just minor seventh, BP seventh 23: 1 800/441 1031.066 cents 23: 4 49/27 1031.787 cents 23: 2 64/35 1044.860 cents septimal neutral seventh 23: 2 448/243 1059.051 cents 24: 1 729/400 1039.103 cents acute minor seventh 24: 8 90/49 1052.572 cents 24: 2 147/80 1053.293 cents 24: 4 50/27 1066.762 cents grave major seventh 24: 12 28/15 1080.557 cents grave major seventh 25: 1 729/392 1074.078 cents 25: 6 15/8 1088.269 cents classic major seventh 25: 4 189/100 1102.063 cents 25: 10 40/21 1115.533 cents acute major seventh 25: 2 48/25 1129.328 cents classic diminished octave 25: 4 784/405 1143.518 cents 26: 10 27/14 1137.039 cents septimal major seventh 26: 6 35/18 1151.230 cents septimal semi-diminished octave 26: 2 96/49 1164.303 cents 26: 3 49/25 1165.024 cents BP eighth 26: 4 160/81 1178.494 cents octave - syntonic comma 26: 2 448/225 1192.288 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.07692 = 66/13
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 0.0 : 63.0 84.5 119.4 182.4 231.2 266.9 315.6 378.6 386.3 435.1 498.0 519.6 582.5 617.5 680.4 702.0 764.9 813.7 821.4 884.4 933.1 968.8 1017.6 1080.6 1115.5 1137.0 1200.0 63.0 : 21.5 56.5 119.4 168.2 203.9 252.7 315.6 323.4 372.1 435.1 456.6 519.6 554.5 617.5 639.0 702.0 750.7 758.4 821.4 870.2 905.9 954.6 1017.6 1052.6 1074.1 1137.0 1200.0 84.5 : 35.0 97.9 146.7 182.4 231.2 294.1 301.8 350.6 413.6 435.1 498.0 533.0 596.0 617.5 680.4 729.2 736.9 799.9 848.7 884.4 933.1 996.1 1031.1 1052.6 1115.5 1178.5 1200.0 119.4 : 63.0 111.7 147.4 196.2 259.2 266.9 315.6 378.6 400.1 463.1 498.0 561.0 582.5 645.5 694.2 702.0 764.9 813.7 849.4 898.2 961.1 996.1 1017.6 1080.6 1143.5 1165.0 1200.0 182.4 : 48.8 84.5 133.2 196.2 203.9 252.7 315.6 337.1 400.1 435.1 498.0 519.6 582.5 631.3 639.0 702.0 750.7 786.4 835.2 898.2 933.1 954.6 1017.6 1080.6 1102.1 1137.0 1200.0 231.2 : 35.7 84.5 147.4 155.1 203.9 266.9 288.4 351.3 386.3 449.3 470.8 533.7 582.5 590.2 653.2 702.0 737.7 786.4 849.4 884.4 905.9 968.8 1031.8 1053.3 1088.3 1151.2 1200.0 266.9 : 48.8 111.7 119.4 168.2 231.2 252.7 315.6 350.6 413.6 435.1 498.0 546.8 554.5 617.5 666.3 702.0 750.7 813.7 848.7 870.2 933.1 996.1 1017.6 1052.6 1115.5 1164.3 1200.0 315.6 : 63.0 70.7 119.4 182.4 203.9 266.9 301.8 364.8 386.3 449.3 498.0 505.8 568.7 617.5 653.2 702.0 764.9 799.9 821.4 884.4 947.3 968.8 1003.8 1066.8 1115.5 1151.2 1200.0 378.6 : 7.7 56.5 119.4 140.9 203.9 238.9 301.8 323.4 386.3 435.1 442.8 505.8 554.5 590.2 639.0 702.0 736.9 758.4 821.4 884.4 905.9 940.8 1003.8 1052.6 1088.3 1137.0 1200.0 386.3 : 48.8 111.7 133.2 196.2 231.2 294.1 315.6 378.6 427.4 435.1 498.0 546.8 582.5 631.3 694.2 729.2 750.7 813.7 876.6 898.2 933.1 996.1 1044.9 1080.6 1129.3 1192.3 1200.0 435.1 : 63.0 84.5 147.4 182.4 245.4 266.9 329.8 378.6 386.3 449.3 498.0 533.7 582.5 645.5 680.4 702.0 764.9 827.9 849.4 884.4 947.3 996.1 1031.8 1080.6 1143.5 1151.2 1200.0 498.0 : 21.5 84.5 119.4 182.4 203.9 266.9 315.6 323.4 386.3 435.1 470.8 519.6 582.5 617.5 639.0 702.0 764.9 786.4 821.4 884.4 933.1 968.8 1017.6 1080.6 1088.3 1137.0 1200.0 519.6 : 63.0 97.9 160.9 182.4 245.4 294.1 301.8 364.8 413.6 449.3 498.0 561.0 596.0 617.5 680.4 743.4 764.9 799.9 862.9 911.6 947.3 996.1 1059.1 1066.8 1115.5 1178.5 1200.0 582.5 : 35.0 97.9 119.4 182.4 231.2 238.9 301.8 350.6 386.3 435.1 498.0 533.0 554.5 617.5 680.4 702.0 736.9 799.9 848.7 884.4 933.1 996.1 1003.8 1052.6 1115.5 1137.0 1200.0 617.5 : 63.0 84.5 147.4 196.2 203.9 266.9 315.6 351.3 400.1 463.1 498.0 519.6 582.5 645.5 667.0 702.0 764.9 813.7 849.4 898.2 961.1 968.8 1017.6 1080.6 1102.1 1165.0 1200.0 680.4 : 21.5 84.5 133.2 140.9 203.9 252.7 288.4 337.1 400.1 435.1 456.6 519.6 582.5 604.0 639.0 702.0 750.7 786.4 835.2 898.2 905.9 954.6 1017.6 1039.1 1102.1 1137.0 1200.0 702.0 : 63.0 111.7 119.4 182.4 231.2 266.9 315.6 378.6 413.6 435.1 498.0 561.0 582.5 617.5 680.4 729.2 764.9 813.7 876.6 884.4 933.1 996.1 1017.6 1080.6 1115.5 1178.5 1200.0 764.9 : 48.8 56.5 119.4 168.2 203.9 252.7 315.6 350.6 372.1 435.1 498.0 519.6 554.5 617.5 666.3 702.0 750.7 813.7 821.4 870.2 933.1 954.6 1017.6 1052.6 1115.5 1137.0 1200.0 813.7 : 7.7 70.7 119.4 155.1 203.9 266.9 301.8 323.4 386.3 449.3 470.8 505.8 568.7 617.5 653.2 702.0 764.9 772.6 821.4 884.4 905.9 968.8 1003.8 1066.8 1088.3 1151.2 1200.0 821.4 : 63.0 111.7 147.4 196.2 259.2 294.1 315.6 378.6 441.6 463.1 498.0 561.0 609.8 645.5 694.2 757.2 764.9 813.7 876.6 898.2 961.1 996.1 1059.1 1080.6 1143.5 1192.3 1200.0 884.4 : 48.8 84.5 133.2 196.2 231.2 252.7 315.6 378.6 400.1 435.1 498.0 546.8 582.5 631.3 694.2 702.0 750.7 813.7 835.2 898.2 933.1 996.1 1017.6 1080.6 1129.3 1137.0 1200.0 933.1 : 35.7 84.5 147.4 182.4 203.9 266.9 329.8 351.3 386.3 449.3 498.0 533.7 582.5 645.5 653.2 702.0 764.9 786.4 849.4 884.4 947.3 968.8 1031.8 1080.6 1088.3 1151.2 1200.0 968.8 : 48.8 111.7 146.7 168.2 231.2 294.1 315.6 350.6 413.6 462.3 498.0 546.8 609.8 617.5 666.3 729.2 750.7 813.7 848.7 911.6 933.1 996.1 1044.9 1052.6 1115.5 1164.3 1200.0 1017.6: 63.0 97.9 119.4 182.4 245.4 266.9 301.8 364.8 413.6 449.3 498.0 561.0 568.7 617.5 680.4 702.0 764.9 799.9 862.9 884.4 947.3 996.1 1003.8 1066.8 1115.5 1151.2 1200.0 1080.6: 35.0 56.5 119.4 182.4 203.9 238.9 301.8 350.6 386.3 435.1 498.0 505.8 554.5 617.5 639.0 702.0 736.9 799.9 821.4 884.4 933.1 940.8 1003.8 1052.6 1088.3 1137.0 1200.0 1115.5: 21.5 84.5 147.4 168.9 203.9 266.9 315.6 351.3 400.1 463.1 470.8 519.6 582.5 604.0 667.0 702.0 764.9 786.4 849.4 898.2 905.9 968.8 1017.6 1053.3 1102.1 1165.0 1200.0 1137.0: 63.0 125.9 147.4 182.4 245.4 294.1 329.8 378.6 441.6 449.3 498.0 561.0 582.5 645.5 680.4 743.4 764.9 827.9 876.6 884.4 947.3 996.1 1031.8 1080.6 1143.5 1178.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 7.7115 .. 62.9609 cents 6272/6075, 55.2494 cents 225/224, 7.7115 cents 2: 56.4819 .. 125.9218 cents 307328/295245, 69.4399 cents 10935/10976,-6.4790 cents 3: 119.4428 .. 160.8974 cents 2240/2187, 41.4546 cents 10935/10976,-6.4790 cents 4: 140.9491 .. 196.1985 cents 6272/6075, 55.2494 cents 177147/179200,-19.9483 cents 5: 203.9100 .. 259.1594 cents 6272/6075, 55.2494 cents 225/224, 7.7115 cents 6: 238.8856 .. 294.1350 cents 6272/6075, 55.2494 cents 151875/153664,-20.2738 cents 7: 288.3772 .. 329.8318 cents 2240/2187, 41.4546 cents 5103/5120,-5.7578 cents 8: 323.3528 .. 378.6022 cents 6272/6075, 55.2494 cents 10935/10976,-6.4790 cents 9: 372.1232 .. 441.5631 cents 307328/295245, 69.4399 cents 10935/10976,-6.4790 cents 10: 435.0841 .. 463.0694 cents 686/675, 27.9853 cents 10935/10976,-6.4790 cents 11: 442.7956 .. 498.0450 cents 6272/6075, 55.2494 cents 151875/153664,-20.2738 cents 12: 505.7565 .. 561.0059 cents 6272/6075, 55.2494 cents 225/224, 7.7115 cents 13: 554.5269 .. 609.7763 cents 6272/6075, 55.2494 cents 10935/10976,-6.4790 cents 14: 590.2237 .. 645.4731 cents 6272/6075, 55.2494 cents 2025/2048,-19.5526 cents 15: 638.9941 .. 694.2435 cents 6272/6075, 55.2494 cents 10935/10976,-6.4790 cents 16: 701.9550 .. 757.2044 cents 6272/6075, 55.2494 cents 225/224, 7.7115 cents 17: 736.9306 .. 764.9159 cents 686/675, 27.9853 cents 151875/153664,-20.2738 cents 18: 758.4369 .. 827.8768 cents 307328/295245, 69.4399 cents 10935/10976,-6.4790 cents 19: 821.3978 .. 876.6472 cents 6272/6075, 55.2494 cents 10935/10976,-6.4790 cents 20: 870.1682 .. 911.6228 cents 2240/2187, 41.4546 cents 10935/10976,-6.4790 cents 21: 905.8650 .. 961.1144 cents 6272/6075, 55.2494 cents 5103/5120,-5.7578 cents 22: 940.8406 .. 996.0900 cents 6272/6075, 55.2494 cents 151875/153664,-20.2738 cents 23: 1003.8015 .. 1059.0509 cents 6272/6075, 55.2494 cents 225/224, 7.7115 cents 24: 1039.1026 .. 1080.5572 cents 2240/2187, 41.4546 cents 177147/179200,-19.9483 cents 25: 1074.0782 .. 1143.5181 cents 307328/295245, 69.4399 cents 10935/10976,-6.4790 cents 26: 1137.0391 .. 1192.2885 cents 6272/6075, 55.2494 cents 10935/10976,-6.4790 cents
SHOW DATA
Number of notes : 27 -- Interval properties -- Smallest interval : 225/224, 7.7115 cents, class 1 Average step (divided formal octave): 44.4444 cents Largest one step interval : 28/27, 62.9609 cents Average / Smallest step : 5.763381 Largest / Average step : 1.416620 Largest / Smallest step : 8.164523 Median interval of one step : 36/35, 48.7704 cents, amount: 6 Most common interval of one step : 28/27, 62.9609 cents, amount: 10 Least squares average step : 44.38016 cents, oct.: 1198.26419 cents Scale is not proper Step pattern alph. order: ABCADEDAFDABACABADFADEDACBA Step pattern size order : FBCFEDEFAEFBFCFBFEAFEDEFCBF Scale is a Constant Structure, by a margin of 1.23252 cents Scale diversity : 1.395350 Lumma stability : 0.038558 Lumma impropriety factor : 0.191507 Number of different interval sizes : 132 = 5.07692 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 5.07692 = 66/13 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 2401/2400, 0.7212 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 20 Most common triad is 0.0 498.045 701.955 cents, amount: 13 Number of recognisable fifths : 24, average 700.6697 cents Scale contains a complete diamond : 3 5 7 9 15 21 All steps are superparticular (epimoric) Length of longest harmonic part : 1 at degree 0 Length of longest subharmonic part : 1 at degree 0 Formal octave complements present : 27 = 100.0000% Scale is differentially coherent in interval class 1 Scale is n-1 differentially coherent in interval classes 5 and 6 combined Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 13-14 -- Rational properties -- Prime limit : 7 Odd number limit : 2025 (O: 2025 U: 2025) Highest odd numerator or denominator: 45 Scale harmonicity : 0.018392 Average absolute harmonicity : 0.115202 Specific harmonicity : 0.098516 Fundamental : 1/3780, -11.8842 octaves, 0.0692 Hz. Guide tone : 7560, 12.8842 octaves, 1977889.274 Hz. Exponens Consonantiae : 2.857680E+07, 24.76834 octaves Euler's gradus suavitatis : 38 Sum of Mann's harmonic distance : 386.5, average 14.31481 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 26.66618, average 0.98764 Sum of Tenney's harmonic distance : 53.57047, average 1.98409 Vogel's harmonic complexity : 23.51852 Wille's k value : 3307 Wilson's harmonic complexity : 42 Rectangular lattice diameter : 10 Triangular lattice diameter : 6 Lattice compactness : 1295.78318, average 3.42800 Lattice compactness (without 2's) : 941.91576, average 2.49184 Number of different primes : 4 Prime exponents' range, average, count, tones@limit: 2: -2 .. 3 0.51852 42 1 3: -3 .. 3 0.00000 34 2 5: -1 .. 1 0.00000 16 8 7: -1 .. 1 0.00000 16 16 Average exponent except 2's : 0 / 27 = 0.00000 Average absolute exponent except 2's: 66 / 27 = 2.44444 Scale is weakly epimorphic with val: <27 43 63 73| Scale is JI-epimorphic with val: <27 43 63 76| = patent
FIT/MODE
27: 1 1 1 1 1 1 1 2 0 1 1 1 1 1 1 1 1 1 0 2 1 1 1 1 1 1 1 N T3 I SD: 11.2429 c. M: 21.3978 c. 28: 1 1 1 1 1 1 1 2 0 1 2 0 2 0 2 0 2 1 0 2 1 1 1 1 1 1 1 N D3 I SD: 11.9402 c. M: 20.1038 c. 30: 2 0 1 2 1 1 1 1 1 1 1 1 2 0 2 1 1 1 1 1 1 1 1 2 1 0 2 N I SD: 12.4087 c. M: 18.6022 c. 31: 2 0 1 2 1 1 1 2 0 1 2 0 2 1 2 0 2 1 0 2 1 1 1 2 1 0 2 N I SD: 8.1791 c. M: 16.3255 c. 33: 2 0 1 2 1 1 2 1 1 1 2 0 2 1 2 0 2 1 1 1 2 1 1 2 1 0 2 N I SD: 10.3335 c. M: 14.9658 c. 35: 2 0 1 2 2 1 1 2 0 2 2 0 2 1 2 0 2 2 0 2 1 1 2 2 1 0 2 N I SD: 10.0126 c. M:-16.5857 c. 37: 2 1 1 2 1 1 2 2 0 1 2 1 2 1 2 1 2 1 0 2 2 1 1 2 1 1 2 N I SD: 8.6384 c. M: 13.4625 c. 39: 2 1 1 2 1 2 1 2 0 2 2 1 2 1 2 1 2 1 1 2 1 1 2 2 1 1 2 N SD: 8.0667 c. M: 17.0829 c. 41: 2 1 1 2 2 1 2 2 0 2 2 1 2 1 2 1 2 2 0 2 2 1 2 2 1 1 2 N D3 I SD: 4.3670 c. M:-7.2780 c. 53: 3 1 1 3 2 2 2 3 0 2 3 1 3 1 3 1 3 2 0 3 2 2 2 3 1 1 3 N I SD: 4.3482 c. M: 6.3035 c. 58: 3 1 2 3 2 2 2 3 1 2 3 1 3 2 3 1 3 2 1 3 2 2 2 3 2 1 3 N I SD: 3.7329 c. M: 6.7897 c. 72: 4 1 2 4 3 2 3 4 0 3 4 1 4 2 4 1 4 3 0 4 3 2 3 4 2 1 4 N I SD: 2.3804 c. M: 4.7311 c. 99: 5 2 3 5 4 3 4 5 1 4 5 2 5 3 5 2 5 4 1 5 4 3 4 5 3 2 5 N I SD: 1.4084 c. M: 2.8446 c. 130: 7 2 4 7 5 4 5 7 1 5 7 2 7 4 7 2 7 5 1 7 5 4 5 7 4 2 7 N I SD: 1.3721 c. M: 2.6282 c. 152: 8 3 4 8 6 5 6 8 1 6 8 3 8 4 8 3 8 6 1 8 6 5 6 8 4 3 8 N I SD: 1.2633 c. M:-2.3749 c. 171: 9 3 5 9 7 5 7 9 1 7 9 3 9 5 9 3 9 7 1 9 7 5 7 9 5 3 9 N I SD: 0.2284 c. M:-0.4049 c. 441: 23 8 13 23 18 13 18 23 3 18 23 8 23 13 23 8 23 18 3 23 18 13 18 23 13 8 23 N I SD: 0.2119 c. M: 0.3759 c. 612: 32 11 18 32 25 18 25 32 4 25 32 11 32 18 32 11 32 25 4 32 25 18 25 32 18 11 32 N I SD: 0.1457 c. M:-0.2158 c. 783: 41 14 23 41 32 23 32 41 5 32 41 14 41 23 41 14 41 32 5 41 32 23 32 41 23 14 41 N I SD: 0.1291 c. M:-0.2435 c. 935: 49 17 27 49 38 28 38 49 6 38 49 17 49 27 49 17 49 38 6 49 38 28 38 49 27 17 49 N I SD: 0.1276 c. M:-0.2387 c. 1065: 56 19 31 56 43 32 43 56 7 43 56 19 56 31 56 19 56 43 7 56 43 32 43 56 31 19 56 N I SD: 0.1186 c. M:-0.1882 c. 1106: 58 20 32 58 45 33 45 58 7 45 58 20 58 32 58 20 58 45 7 58 45 33 45 58 32 20 58 N I SD: 0.0928 c. M:-0.1621 c. 1236: 65 22 36 65 50 37 50 65 8 50 65 22 65 36 65 22 65 50 8 65 50 37 50 65 36 22 65 N I SD: 0.0941 c. M:-0.1459 c. 1277: 67 23 37 67 52 38 52 67 8 52 67 23 67 37 67 23 67 52 8 67 52 38 52 67 37 23 67 N I SD: 0.0778 c. M:-0.1060 c. 1448: 76 26 42 76 59 43 59 76 9 59 76 26 76 42 76 26 76 59 9 76 59 43 59 76 42 26 76 N I SD: 0.0765 c. M: 0.1271 c. 1506: 79 27 44 79 61 45 61 79 10 61 79 27 79 44 79 27 79 61 10 79 61 45 61 79 44 27 79 N I SD: 0.0734 c. M: 0.1405 c. 1677: 88 30 49 88 68 50 68 88 11 68 88 30 88 49 88 30 88 68 11 88 68 50 68 88 49 30 88 N I SD: 0.0517 c. M: 0.0906 c. 1848: 97 33 54 97 75 55 75 97 12 75 97 33 97 54 97 33 97 75 12 97 75 55 75 97 54 33 97 N I SD: 0.0414 c. M: 0.0708 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: 5.1990 cents 7 .. 14 match: 7 H SD: 2.8116 cents 8 .. 16 match: 8 H SD: 5.3924 cents 9 .. 18 match: 9 H SD: 4.9832 cents 10 .. 20 match: 10 H SD: 2.9956 cents 11 .. 22 match: 11 H SD: 6.1965 cents 12 .. 24 match: 12 H SD: 3.7198 cents 13 .. 26 match: 13 H SD: 4.9781 cents 14 .. 28 match: 14 H SD: 2.9463 cents 15 .. 30 match: 15 H SD: 2.9897 cents 16 .. 32 match: 16 H SD: 3.9473 cents 17 .. 34 match: 17 H SD: 3.6116 cents 18 .. 36 match: 17 S SD: 3.0473 cents 19 .. 38 match: 19 H SD: 3.9673 cents 20 .. 40 match: 20 H SD: 2.5623 cents 21 .. 42 match: 21 H SD: 2.8058 cents 22 .. 44 match: 19 SD: 3.6460 cents 23 .. 46 match: 21 SD: 3.2493 cents 24 .. 48 match: 20 SD: 2.5081 cents 25 .. 50 match: 22 SD: 2.2001 cents 26 .. 52 match: 20 SD: 2.9306 cents 27 .. 54 match: 22 SD: 2.3535 cents 28 .. 56 match: 24 SD: 2.0543 cents 29 .. 58 match: 23 SD: 2.0474 cents 30 .. 60 match: 25 SD: 2.2622 cents 31 .. 62 match: 24 SD: 2.2153 cents 32 .. 64 match: 22 SD: 2.2026 cents 33 .. 66 match: 24 SD: 2.4283 cents 34 .. 68 match: 26 SD: 2.2203 cents 35 .. 70 match: 24 SD: 1.9006 cents 36 .. 72 match: 24 SD: 1.8055 cents 37 .. 74 match: 25 SD: 2.0192 cents 38 .. 76 match: 25 SD: 2.0245 cents 39 .. 78 match: 26 SD: 1.9271 cents 40 .. 80 match: 25 SD: 1.6659 cents 41 .. 82 match: 23 SD: 1.6869 cents 42 .. 84 match: 26 SD: 1.4542 cents 43 .. 86 match: 24 SD: 1.4981 cents 44 .. 88 match: 24 SD: 1.4923 cents 45 .. 90 match: 24 SD: 1.3699 cents 46 .. 92 match: 25 SD: 1.5870 cents 47 .. 94 match: 25 SD: 1.7267 cents 48 .. 96 match: 24 SD: 1.4153 cents 49 .. 98 match: 25 SD: 1.5087 cents 50 .. 100 match: 26 SD: 1.6083 cents 51 .. 102 match: 26 SD: 1.5755 cents 52 .. 104 match: 26 SD: 1.2573 cents 53 .. 106 match: 25 SD: 1.3826 cents 54 .. 108 match: 27 SD: 1.0889 cents 55 .. 110 match: 26 SD: 1.1783 cents 56 .. 112 match: 25 SD: 0.9368 cents 57 .. 114 match: 26 SD: 1.2352 cents 58 .. 116 match: 26 SD: 1.2867 cents 59 .. 118 match: 27 SD: 1.2203 cents 60 .. 120 match: 25 SD: 0.8179 cents 61 .. 122 match: 25 SD: 1.1517 cents 63 .. 126 match: 26 SD: 1.1377 cents 64 .. 128 match: 26 SD: 1.1363 cents 65 .. 130 match: 25 SD: 1.0793 cents 66 .. 132 match: 26 SD: 1.0746 cents 68 .. 136 match: 24 SD: 1.1082 cents 69 .. 138 match: 25 SD: 1.0607 cents 70 .. 140 match: 27 SD: 0.9997 cents 71 .. 142 match: 26 SD: 1.0268 cents 72 .. 144 match: 26 SD: 0.8621 cents 73 .. 146 match: 25 SD: 1.0146 cents 74 .. 148 match: 27 SD: 0.9375 cents 75 .. 150 match: 27 SD: 0.9306 cents 76 .. 152 match: 25 SD: 0.9725 cents 77 .. 154 match: 26 SD: 0.8877 cents 78 .. 156 match: 26 SD: 0.9441 cents 79 .. 158 match: 27 SD: 0.8808 cents 80 .. 160 match: 26 SD: 0.7533 cents 81 .. 162 match: 25 SD: 0.7785 cents 83 .. 166 match: 26 SD: 0.7215 cents 84 .. 168 match: 26 SD: 0.5921 cents 85 .. 170 match: 26 SD: 0.7282 cents 86 .. 172 match: 26 SD: 0.8765 cents 87 .. 174 match: 27 SD: 0.8535 cents 88 .. 176 match: 25 SD: 0.8144 cents 89 .. 178 match: 26 SD: 0.8586 cents 90 .. 180 match: 27 SD: 0.7964 cents 91 .. 182 match: 26 SD: 0.8111 cents 93 .. 186 match: 25 SD: 0.9292 cents 94 .. 188 match: 27 SD: 0.8307 cents 95 .. 190 match: 27 SD: 0.7287 cents 96 .. 192 match: 26 SD: 0.7095 cents 97 .. 194 match: 26 SD: 0.6729 cents 98 .. 196 match: 27 SD: 0.6685 cents 99 .. 198 match: 27 SD: 0.6612 cents 100 .. 200 match: 27 SD: 0.6050 cents 101 .. 202 match: 25 SD: 0.7029 cents 102 .. 204 match: 27 SD: 0.6440 cents 105 .. 210 match: 26 SD: 0.6310 cents 106 .. 212 match: 26 SD: 0.6704 cents 108 .. 216 match: 27 SD: 0.5633 cents 109 .. 218 match: 26 SD: 0.6803 cents 110 .. 220 match: 27 SD: 0.6459 cents 111 .. 222 match: 26 SD: 0.6656 cents 112 .. 224 match: 27 SD: 0.5357 cents 113 .. 226 match: 26 SD: 0.6627 cents 114 .. 228 match: 27 SD: 0.5667 cents 115 .. 230 match: 27 SD: 0.5174 cents 116 .. 232 match: 26 SD: 0.6057 cents 117 .. 234 match: 26 SD: 0.6159 cents 119 .. 238 match: 27 SD: 0.5744 cents 120 .. 240 match: 27 SD: 0.4970 cents 121 .. 242 match: 25 SD: 0.6856 cents 122 .. 244 match: 27 SD: 0.6397 cents 123 .. 246 match: 27 SD: 0.5890 cents 124 .. 248 match: 27 SD: 0.5588 cents 125 .. 250 match: 26 SD: 0.4902 cents 126 .. 252 match: 27 SD: 0.4552 cents 129 .. 258 match: 26 SD: 0.5770 cents 132 .. 264 match: 27 SD: 0.5194 cents 133 .. 266 match: 26 SD: 0.5304 cents 135 .. 270 match: 27 SD: 0.4360 cents 140 .. 280 match: 27 SD: 0.3447 cents 160 .. 320 match: 27 SD: 0.3330 cents 168 .. 336 match: 27 SD: 0.2956 cents 180 .. 360 match: 27 SD: 0.2417 cents 240 .. 480 match: 27 SD: 0.2096 cents 252 .. 504 match: 27 SD: 0.2078 cents 280 .. 560 match: 27 SD: 0.1787 cents 295 .. 590 match: 27 SD: 0.1781 cents 324 .. 648 match: 27 SD: 0.1598 cents 336 .. 672 match: 27 SD: 0.1566 cents 360 .. 720 match: 27 SD: 0.1310 cents 380 .. 760 match: 27 SD: 0.1292 cents 420 .. 840 match: 27 SD: 0.0982 cents 504 .. 1008 match: 27 SD: 0.0899 cents 540 .. 1080 match: 27 SD: 0.0797 cents 560 .. 1120 match: 27 SD: 0.0746 cents