Scala analysis: xen07-chalmers-diaphonic-a
Wilson's Diaphonic Cycles A
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 32/31 54.964428 Greek enharmonic 1/4-tone 2: 16/15 111.731285 minor diatonic semitone 3: 32/29 170.422806 29th subharmonic 4: 8/7 231.174094 septimal whole tone 5: 32/27 294.134997 Pythagorean minor third 6: 16/13 359.472338 tridecimal neutral third 7: 32/25 427.372572 classic diminished fourth 8: 4/3 498.044999 perfect fourth 9: 32/23 571.725653 23rd subharmonic 10: 16/11 648.682058 undecimal semi-diminished fifth 11: 3/2 701.955001 perfect fifth 12: 48/31 756.919428 13: 8/5 813.686286 minor sixth 14: 48/29 872.377807 15: 12/7 933.129094 septimal major sixth 16: 16/9 996.089998 Pythagorean minor seventh 17: 24/13 1061.427339 tridecimal neutral seventh 18: 48/25 1129.327573 classic diminished octave 19: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 25/24 70.6724 classic chromatic semitone, minor chroma 1: 32/31 54.9644 Greek enharmonic 1/4-tone 2: 31/30 56.7669 31st-partial chroma 3: 30/29 58.6915 4: 29/28 60.7513 5: 28/27 62.9609 Archytas' 1/3-tone 6: 27/26 65.3373 tridecimal comma 7: 26/25 67.9002 tridecimal 1/3-tone 8: 25/24 70.6724 classic chromatic semitone, minor chroma 9: 24/23 73.6807 vicesimotertial minor semitone 10: 23/22 76.9564 11: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 12: 32/31 54.9644 Greek enharmonic 1/4-tone 13: 31/30 56.7669 31st-partial chroma 14: 30/29 58.6915 15: 29/28 60.7513 16: 28/27 62.9609 Archytas' 1/3-tone 17: 27/26 65.3373 tridecimal comma 18: 26/25 67.9002 tridecimal 1/3-tone 19: 25/24 70.6724 classic chromatic semitone, minor chroma
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 33/32 53.273 cents undecimal comma, al-Farabi's 1/4-tone 1: 2 32/31 54.964 cents Greek enharmonic 1/4-tone 1: 2 31/30 56.767 cents 31st-partial chroma 1: 2 30/29 58.692 cents 1: 2 29/28 60.751 cents 1: 2 28/27 62.961 cents Archytas' 1/3-tone 1: 2 27/26 65.337 cents tridecimal comma 1: 2 26/25 67.900 cents tridecimal 1/3-tone 1: 2 25/24 70.672 cents classic chromatic semitone, minor chroma 1: 1 24/23 73.681 cents vicesimotertial minor semitone 1: 1 23/22 76.956 cents 2: 1 33/31 108.237 cents 2: 2 16/15 111.731 cents minor diatonic semitone 2: 2 31/29 115.458 cents 2: 2 15/14 119.443 cents major diatonic semitone 2: 2 29/27 123.712 cents 2: 1 100/93 125.637 cents 2: 2 14/13 128.298 cents 2/3-tone 2: 1 69/64 130.229 cents 2: 2 27/25 133.238 cents large limma, BP small semitone, Zarlino semitone 2: 2 13/12 138.573 cents tridecimal 2/3-tone 2: 1 25/23 144.353 cents 2: 1 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: 2 32/29 170.423 cents 29th subharmonic 3: 2 31/28 176.210 cents 3: 3 10/9 182.404 cents minor whole tone 3: 1 69/62 185.194 cents 3: 2 29/26 189.050 cents 3: 1 104/93 193.537 cents 3: 2 28/25 196.198 cents middle second 3: 3 9/8 203.910 cents major whole tone 3: 1 26/23 212.253 cents 3: 1 25/22 221.309 cents undecimal acute whole tone 4: 1 33/29 223.696 cents 4: 2 8/7 231.174 cents septimal whole tone 4: 2 31/27 239.171 cents 4: 1 100/87 241.095 cents 4: 1 23/20 241.961 cents 4: 2 15/13 247.741 cents tridecimal 5/4-tone 4: 1 52/45 250.304 cents 4: 2 29/25 256.950 cents 4: 2 36/31 258.874 cents 4: 2 7/6 266.871 cents septimal minor third 4: 1 75/64 274.582 cents classic augmented second 4: 1 27/23 277.591 cents vicesimotertial minor third 4: 1 13/11 289.210 cents tridecimal minor third 5: 1 33/28 284.447 cents undecimal minor third 5: 2 32/27 294.135 cents Pythagorean minor third 5: 1 69/58 300.652 cents 5: 1 25/21 301.847 cents BP second, quasi-equal minor third 5: 2 31/26 304.508 cents 5: 1 104/87 308.995 cents 5: 4 6/5 315.641 cents minor third 5: 1 112/93 321.835 cents 5: 2 29/24 327.622 cents 5: 1 75/62 329.547 cents 5: 1 28/23 340.552 cents 5: 1 39/32 342.483 cents 39th harmonic, Zalzal wosta of Ibn Sina 5: 1 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 6: 1 11/9 347.408 cents undecimal neutral third 6: 2 16/13 359.472 cents tridecimal neutral third 6: 1 69/56 361.403 cents 6: 1 100/81 364.807 cents grave major third 6: 1 26/21 369.747 cents 6: 2 31/25 372.408 cents 6: 2 36/29 374.333 cents 6: 1 56/45 378.602 cents septimal narrow major third 6: 1 116/93 382.587 cents 6: 3 5/4 386.314 cents major third 6: 1 39/31 397.447 cents 6: 1 29/23 401.303 cents 6: 1 81/64 407.820 cents Pythagorean major third 6: 1 14/11 417.508 cents undecimal diminished fourth or major third 7: 1 33/26 412.745 cents tridecimal major third 7: 1 23/18 424.364 cents vicesimotertial major third 7: 2 32/25 427.373 cents classic diminished fourth 7: 1 50/39 430.145 cents 7: 1 104/81 432.708 cents 7: 2 9/7 435.084 cents septimal major third, BP third 7: 1 112/87 437.294 cents 7: 1 58/45 439.353 cents 7: 1 40/31 441.278 cents 7: 2 31/24 443.081 cents 7: 1 75/58 445.005 cents 7: 1 13/10 454.214 cents tridecimal semi-diminished fourth 7: 1 30/23 459.994 cents 7: 1 81/62 462.784 cents 7: 1 21/16 470.781 cents narrow fourth 7: 1 29/22 478.259 cents 8: 1 33/25 480.646 cents 2 pentatones 8: 1 69/52 489.702 cents 8: 10 4/3 498.045 cents perfect fourth 8: 1 75/56 505.757 cents marvelous fourth 8: 1 39/29 512.905 cents 8: 1 31/23 516.761 cents 8: 1 27/20 519.551 cents acute fourth 8: 1 42/31 525.745 cents 8: 1 87/64 531.532 cents 8: 1 15/11 536.951 cents undecimal augmented fourth 9: 1 11/8 551.318 cents undecimal semi-augmented fourth 9: 1 128/93 553.009 cents 9: 1 62/45 554.812 cents 9: 1 40/29 556.737 cents 9: 1 69/50 557.602 cents 9: 1 29/21 558.796 cents 9: 1 112/81 561.006 cents 9: 2 18/13 563.382 cents tridecimal augmented fourth 9: 1 104/75 565.945 cents 9: 2 25/18 568.717 cents classic augmented fourth 9: 1 32/23 571.726 cents 23rd subharmonic 9: 1 39/28 573.657 cents 9: 1 81/58 578.243 cents 9: 1 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 9: 1 87/62 586.497 cents 9: 1 45/32 590.224 cents diatonic tritone 9: 1 31/22 593.718 cents 10: 1 44/31 606.282 cents 10: 1 64/45 609.776 cents 2nd tritone 10: 1 124/87 613.503 cents 10: 1 10/7 617.488 cents Euler's tritone 10: 1 116/81 621.757 cents 10: 1 56/39 626.343 cents 10: 1 23/16 628.274 cents 23rd harmonic 10: 2 36/25 631.283 cents classic diminished fifth 10: 1 75/52 634.055 cents 10: 2 13/9 636.618 cents tridecimal diminished fifth 10: 1 81/56 638.994 cents 10: 1 42/29 641.204 cents 10: 1 100/69 642.398 cents 10: 1 29/20 643.263 cents 10: 1 45/31 645.188 cents 10: 1 93/64 646.991 cents 10: 1 16/11 648.682 cents undecimal semi-diminished fifth 11: 1 22/15 663.049 cents undecimal diminished fifth 11: 1 128/87 668.468 cents 11: 1 31/21 674.255 cents 11: 1 40/27 680.449 cents grave fifth 11: 1 46/31 683.239 cents 11: 1 58/39 687.095 cents 11: 1 112/75 694.243 cents marvelous fifth 11: 10 3/2 701.955 cents perfect fifth 11: 1 104/69 710.298 cents 11: 1 50/33 719.354 cents 3 pentatones 12: 1 44/29 721.741 cents 12: 1 32/21 729.219 cents wide fifth 12: 1 124/81 737.216 cents 12: 1 23/15 740.006 cents 12: 1 20/13 745.786 cents tridecimal semi-augmented fifth 12: 1 116/75 754.995 cents 12: 2 48/31 756.919 cents 12: 1 31/20 758.722 cents 12: 1 45/29 760.647 cents 12: 1 87/56 762.706 cents 12: 2 14/9 764.916 cents septimal minor sixth 12: 1 81/52 767.292 cents 12: 1 39/25 769.855 cents 12: 2 25/16 772.627 cents classic augmented fifth 12: 1 36/23 775.636 cents 12: 1 52/33 787.255 cents tridecimal minor sixth 13: 1 11/7 782.492 cents undecimal augmented fifth 13: 1 128/81 792.180 cents Pythagorean minor sixth 13: 1 46/29 798.697 cents 13: 1 62/39 802.553 cents 13: 3 8/5 813.686 cents minor sixth 13: 1 93/58 817.413 cents 13: 1 45/28 821.398 cents septimale wide minor sixth 13: 2 29/18 825.667 cents 13: 2 50/31 827.592 cents 13: 1 21/13 830.253 cents 13: 1 81/50 835.193 cents acute minor sixth 13: 1 112/69 838.597 cents 13: 2 13/8 840.528 cents tridecimal neutral sixth 13: 1 18/11 852.592 cents undecimal neutral sixth 14: 1 44/27 845.453 cents neutral sixth 14: 1 64/39 857.517 cents 39th subharmonic 14: 1 23/14 859.448 cents 14: 1 124/75 870.453 cents 14: 2 48/29 872.378 cents 14: 1 93/56 878.165 cents 14: 4 5/3 884.359 cents major sixth, BP sixth 14: 1 87/52 891.005 cents 14: 2 52/31 895.492 cents 14: 1 42/25 898.153 cents quasi-equal major sixth 14: 1 116/69 899.348 cents 14: 2 27/16 905.865 cents Pythagorean major sixth 14: 1 56/33 915.553 cents 15: 1 22/13 910.790 cents tridecimal major sixth 15: 1 46/27 922.409 cents 15: 1 128/75 925.418 cents diminished seventh 15: 2 12/7 933.129 cents septimal major sixth 15: 2 31/18 941.126 cents 15: 2 50/29 943.050 cents 15: 1 45/26 949.696 cents 15: 2 26/15 952.259 cents tridecimal semi-augmented sixth 15: 1 40/23 958.039 cents 15: 1 87/50 958.905 cents 15: 2 54/31 960.829 cents 15: 2 7/4 968.826 cents harmonic seventh 15: 1 58/33 976.304 cents 16: 1 44/25 978.691 cents undecimal grave minor seventh 16: 1 23/13 987.747 cents 16: 3 16/9 996.090 cents Pythagorean minor seventh 16: 2 25/14 1003.802 cents middle minor seventh 16: 1 93/52 1006.463 cents 16: 2 52/29 1010.950 cents 16: 1 124/69 1014.806 cents 16: 3 9/5 1017.596 cents just minor seventh, BP seventh 16: 2 56/31 1023.790 cents 16: 2 29/16 1029.577 cents 29th harmonic 16: 1 20/11 1034.996 cents large minor seventh 17: 1 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 17: 1 46/25 1055.647 cents 17: 2 24/13 1061.427 cents tridecimal neutral seventh 17: 2 50/27 1066.762 cents grave major seventh 17: 1 128/69 1069.771 cents 17: 2 13/7 1071.702 cents 16/3-tone 17: 1 93/50 1074.363 cents 17: 2 54/29 1076.288 cents 17: 2 28/15 1080.557 cents grave major seventh 17: 2 58/31 1084.542 cents 17: 2 15/8 1088.269 cents classic major seventh 17: 1 62/33 1091.763 cents 18: 1 44/23 1123.044 cents 18: 1 23/12 1126.319 cents vicesimotertial major seventh 18: 2 48/25 1129.328 cents classic diminished octave 18: 2 25/13 1132.100 cents 18: 2 52/27 1134.663 cents 18: 2 27/14 1137.039 cents septimal major seventh 18: 2 56/29 1139.249 cents 18: 2 29/15 1141.308 cents 18: 2 60/31 1143.233 cents 18: 2 31/16 1145.036 cents 31st harmonic 18: 1 64/33 1146.727 cents 33rd subharmonic Highest number of different intervals for one interval class: 17 Average number of different intervals per interval class: 13.00000 = 13
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0.0 : 55.0 111.7 170.4 231.2 294.1 359.5 427.4 498.0 571.7 648.7 702.0 756.9 813.7 872.4 933.1 996.1 1061.4 1129.3 1200.0 55.0 : 56.8 115.5 176.2 239.2 304.5 372.4 443.1 516.8 593.7 647.0 702.0 758.7 817.4 878.2 941.1 1006.5 1074.4 1145.0 1200.0 111.7 : 58.7 119.4 182.4 247.7 315.6 386.3 460.0 537.0 590.2 645.2 702.0 760.6 821.4 884.4 949.7 1017.6 1088.3 1143.2 1200.0 170.4 : 60.8 123.7 189.0 256.9 327.6 401.3 478.3 531.5 586.5 643.3 702.0 762.7 825.7 891.0 958.9 1029.6 1084.5 1141.3 1200.0 231.2 : 63.0 128.3 196.2 266.9 340.6 417.5 470.8 525.7 582.5 641.2 702.0 764.9 830.3 898.2 968.8 1023.8 1080.6 1139.2 1200.0 294.1 : 65.3 133.2 203.9 277.6 354.5 407.8 462.8 519.6 578.2 639.0 702.0 767.3 835.2 905.9 960.8 1017.6 1076.3 1137.0 1200.0 359.5 : 67.9 138.6 212.3 289.2 342.5 397.4 454.2 512.9 573.7 636.6 702.0 769.9 840.5 895.5 952.3 1011.0 1071.7 1134.7 1200.0 427.4 : 70.7 144.4 221.3 274.6 329.5 386.3 445.0 505.8 568.7 634.1 702.0 772.6 827.6 884.4 943.1 1003.8 1066.8 1132.1 1200.0 498.0 : 73.7 150.6 203.9 258.9 315.6 374.3 435.1 498.0 563.4 631.3 702.0 756.9 813.7 872.4 933.1 996.1 1061.4 1129.3 1200.0 571.7 : 77.0 130.2 185.2 242.0 300.7 361.4 424.4 489.7 557.6 628.3 683.2 740.0 798.7 859.4 922.4 987.7 1055.6 1126.3 1200.0 648.7 : 53.3 108.2 165.0 223.7 284.4 347.4 412.7 480.6 551.3 606.3 663.0 721.7 782.5 845.5 910.8 978.7 1049.4 1123.0 1200.0 702.0 : 55.0 111.7 170.4 231.2 294.1 359.5 427.4 498.0 553.0 609.8 668.5 729.2 792.2 857.5 925.4 996.1 1069.8 1146.7 1200.0 756.9 : 56.8 115.5 176.2 239.2 304.5 372.4 443.1 498.0 554.8 613.5 674.3 737.2 802.6 870.5 941.1 1014.8 1091.8 1145.0 1200.0 813.7 : 58.7 119.4 182.4 247.7 315.6 386.3 441.3 498.0 556.7 617.5 680.4 745.8 813.7 884.4 958.0 1035.0 1088.3 1143.2 1200.0 872.4 : 60.8 123.7 189.0 256.9 327.6 382.6 439.4 498.0 558.8 621.8 687.1 755.0 825.7 899.3 976.3 1029.6 1084.5 1141.3 1200.0 933.1 : 63.0 128.3 196.2 266.9 321.8 378.6 437.3 498.0 561.0 626.3 694.2 764.9 838.6 915.6 968.8 1023.8 1080.6 1139.2 1200.0 996.1 : 65.3 133.2 203.9 258.9 315.6 374.3 435.1 498.0 563.4 631.3 702.0 775.6 852.6 905.9 960.8 1017.6 1076.3 1137.0 1200.0 1061.4: 67.9 138.6 193.5 250.3 309.0 369.7 432.7 498.0 565.9 636.6 710.3 787.3 840.5 895.5 952.3 1011.0 1071.7 1134.7 1200.0 1129.3: 70.7 125.6 182.4 241.1 301.8 364.8 430.1 498.0 568.7 642.4 719.4 772.6 827.6 884.4 943.1 1003.8 1066.8 1132.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 53.2729 .. 76.9564 cents 368/363, 23.6835 cents 33/32, 53.2729 cents 2: 108.2374 .. 150.6371 cents 124/121, 42.3997 cents 726/713, 31.2810 cents 3: 165.0042 .. 221.3095 cents 125/121, 56.3053 cents 121/120, 14.3672 cents 4: 223.6957 .. 289.2097 cents 377/363, 65.5140 cents 726/725, 2.3863 cents 5: 284.4470 .. 354.5471 cents 126/121, 70.1000 cents 363/364,-4.7627 cents 6: 347.4079 .. 417.5080 cents 126/121, 70.1000 cents 242/243,-7.1391 cents 7: 412.7453 .. 478.2593 cents 377/363, 65.5140 cents 363/364,-4.7627 cents 8: 480.6455 .. 536.9508 cents 125/121, 56.3053 cents 726/725, 2.3863 cents 9: 551.3179 .. 593.7176 cents 124/121, 42.3997 cents 121/120, 14.3672 cents 10: 606.2824 .. 648.6821 cents 124/121, 42.3997 cents 968/961, 12.5647 cents 11: 663.0492 .. 719.3545 cents 125/121, 56.3053 cents 121/120, 14.3672 cents 12: 721.7407 .. 787.2547 cents 377/363, 65.5140 cents 726/725, 2.3863 cents 13: 782.4920 .. 852.5921 cents 126/121, 70.1000 cents 363/364,-4.7627 cents 14: 845.4529 .. 915.5530 cents 126/121, 70.1000 cents 242/243,-7.1391 cents 15: 910.7903 .. 976.3043 cents 377/363, 65.5140 cents 363/364,-4.7627 cents 16: 978.6905 .. 1034.9958 cents 125/121, 56.3053 cents 726/725, 2.3863 cents 17: 1049.3629 .. 1091.7626 cents 124/121, 42.3997 cents 121/120, 14.3672 cents 18: 1123.0436 .. 1146.7271 cents 368/363, 23.6835 cents 726/713, 31.2810 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 33/32, 53.2729 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 23/22, 76.9564 cents Average / Smallest step : 1.185553 Largest / Average step : 1.218476 Largest / Smallest step : 1.444568 Median interval of one step : 28/27, 62.9609 cents, amount: 2 Least squares average step : 62.61235 cents, oct.: 1189.63467 cents Scale is not proper Step pattern alph. order: ABCDEFGHIJKABCDEFGH Step pattern size order : BCDEFGHIJKABCDEFGHI Scale is a Constant Structure, by a margin of 2.38626 cents Scale diversity : 1.575315 Lumma stability : 0.207239 Lumma impropriety factor : 0.027774 Number of different interval sizes : 234 = 13.00000 / class Number of one step interval sizes : 11 Highest interval variety : 17 Mean interval variety : 13.00000 = 13 Median interval variety : 10.5 Lowest interval variety : 10 Smallest interval difference : 2001/2000, 0.8654 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 10 Most common triad is 0.0 498.045 701.955 cents, amount: 3 Number of recognisable fifths : 14, average 702.1815 cents Number of appreciable fifths : 12, average 702.0077 cents Scale contains two identical disjunct "tetrachords" of 9 notes Scale contains a complete diamond : 1 3 All steps are superparticular (epimoric) Length of longest subharmonic part : 10 at degree 0 Formal octave complements present : 3 = 15.7895% Scale is differentially coherent in interval class 1 Limited inverse transpositions with margin 60.4121 cents: 15 -- Rational properties -- Prime limit : 31 Odd number limit : 93 (O: 93 U: 93) Highest odd numerator or denominator: 31 Scale harmonicity : 0.005674 Fundamental : too low to compute Guide tone : 96, 6.5850 octaves, 25116.054 Hz. Exponens Consonantiae : 2.682419E+12, 41.28667 octaves Euler's gradus suavitatis : 131 Sum of Mann's harmonic distance : 367.5, average 19.34211 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 20.23951, average 1.06524 Sum of Tenney's harmonic distance : 43.09516, average 2.26817 Vogel's harmonic complexity : too high to compute Wille's k value : too high to compute Wilson's harmonic complexity : 136 Rectangular lattice diameter : 12 Triangular lattice diameter : 4 Lattice compactness : 543.42334, average 2.86012 Lattice compactness (without 2's) : 339.25404, average 1.78555 Number of different primes : 9 Prime exponents' range, average, count, tones@limit: 2: -1 .. 5 3.47368 68 1 3: -3 .. 1 -0.05263 13 4 5: -2 .. 0 -0.31579 6 4 7: -1 .. 0 -0.10526 2 2 11: -1 .. 0 -0.05263 1 1 13: -1 .. 0 -0.10526 2 2 23: -1 .. 0 -0.05263 1 1 29: -1 .. 0 -0.10526 2 2 31: -1 .. 0 -0.10526 2 2 Average exponent except 2's :-17 / 19 =-0.89474 Average absolute exponent except 2's: 29 / 19 = 1.52632 Scale is JI-epimorphic with val: <19 30 44 53 66 70 86 92 94| = patent Scale is weakly epimorphic with val: <19 30 44 53 67 70 85 92 94| Scale is weakly epimorphic with val: <19 30 44 54 66 70 86 91 94| Scale is weakly epimorphic with val: <19 30 44 54 67 70 85 91 94|
FIT/MODE
19: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 13.3558 c. M:-21.6545 c. 22: 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 N D3 SD: 13.1361 c. M: 26.2711 c. 27: 1 2 1 1 2 1 2 1 2 2 1 1 1 2 1 1 2 1 2 N SD: 12.5462 c. M:-21.6020 c. 29: 1 2 1 2 1 2 1 2 2 2 1 1 2 1 2 1 2 1 2 N D3 SD: 11.0700 c. M:-18.5950 c. 31: 1 2 1 2 2 1 2 2 2 2 1 2 1 2 1 2 1 2 2 N SD: 10.6895 c. M:-17.9448 c. 33: 2 1 2 1 2 2 2 2 2 2 1 2 1 2 2 1 2 2 2 N SD: 9.5964 c. M:-17.7628 c. 34: 1 2 2 1 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 P D3 SD: 11.4497 c. M: 25.3190 c. 35: 2 1 2 2 2 1 2 3 2 2 1 2 2 1 2 2 2 2 2 N SD: 10.5838 c. M: 16.6152 c. 36: 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 P D3 S SD: 7.4608 c. M: 15.3487 c. 37: 2 1 2 2 2 2 2 2 3 2 2 1 2 2 2 2 2 2 2 N T3 SD: 8.0885 c. M: 14.4340 c. 40: 2 2 2 2 2 2 2 3 2 3 1 2 2 2 2 2 2 3 2 N SD: 7.7043 c. M:-11.9550 c. 41: 2 2 2 2 2 2 3 2 3 2 2 2 2 2 2 2 2 3 2 P D3 SD: 6.4704 c. M:-13.6402 c. 50: 2 3 2 3 2 3 3 3 3 3 2 3 2 2 3 3 2 3 3 P SD: 6.1953 c. M:-11.9100 c. 52: 2 3 2 3 3 3 3 3 3 3 2 3 2 3 2 3 3 3 3 P SD: 6.6395 c. M:-11.0890 c. 53: 2 3 3 2 3 3 3 3 3 4 2 2 3 3 2 3 3 3 3 N SD: 5.5852 c. M:-10.7093 c. 54: 2 3 3 2 3 3 3 3 4 3 3 2 3 2 3 3 3 3 3 P SD: 6.0832 c. M: 10.5200 c. 61: 3 3 3 3 3 3 4 3 4 4 3 2 3 3 3 4 3 3 4 N SD: 5.7921 c. M: 9.3784 c. 62: 3 3 3 3 3 4 3 4 4 4 2 3 3 3 3 3 4 3 4 N SD: 5.1842 c. M:-9.3825 c. 63: 3 3 3 3 3 4 3 4 4 4 3 3 3 3 3 3 4 3 4 N SD: 4.2287 c. M: 8.4207 c. 65: 3 3 3 3 4 3 4 4 4 4 3 3 3 3 3 4 3 4 4 N SD: 4.7183 c. M: 10.0522 c. 68: 3 3 4 3 4 3 4 4 4 5 3 3 3 3 4 3 4 4 4 N SD: 4.6307 c. M: 7.8547 c. 70: 3 3 4 3 4 4 4 4 4 5 3 3 3 4 3 4 4 4 4 N SD: 4.3201 c. M: 8.8741 c. 72: 3 4 3 4 4 4 4 4 4 5 3 3 4 3 4 4 4 4 4 P SD: 4.4286 c. M:-7.1943 c. 77: 4 3 4 4 4 4 5 4 5 5 3 4 3 4 4 4 4 5 4 N SD: 4.2795 c. M:-8.9911 c. 78: 4 3 4 4 4 4 5 4 5 5 4 3 4 4 4 4 4 4 5 P SD: 3.9861 c. M:-6.5740 c. 82: 4 4 4 4 4 5 4 5 5 5 4 4 4 4 4 4 5 4 5 P SD: 3.9860 c. M:-6.8653 c. 84: 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 5 4 5 5 P SD: 2.8863 c. M:-5.8650 c. 87: 4 4 4 5 4 5 5 5 5 6 4 4 4 4 5 4 5 5 5 N SD: 2.8176 c. M: 6.2084 c. 89: 4 4 5 4 5 5 5 5 5 6 4 4 4 5 4 5 5 5 5 P SD: 3.2228 c. M: 5.4335 c. 94: 4 5 4 5 5 5 5 6 6 6 4 4 5 4 5 5 5 5 6 N SD: 3.1240 c. M: 6.0960 c. 103: 5 5 5 5 5 6 6 6 6 7 4 5 5 5 5 6 5 6 6 N SD: 2.8606 c. M:-5.8517 c. 105: 5 5 5 5 6 5 6 7 6 7 4 5 5 5 6 5 6 6 6 N SD: 3.0923 c. M: 5.1866 c. 106: 5 5 5 5 6 6 6 6 7 6 5 5 5 5 5 6 6 6 6 P SD: 2.6172 c. M:-5.6328 c. 111: 5 5 6 5 6 6 6 7 7 7 5 5 5 6 5 6 6 6 7 N SD: 2.7879 c. M: 5.7510 c. 113: 5 6 5 6 6 6 6 7 7 7 5 5 6 5 6 6 6 6 7 P SD: 2.3914 c. M:-5.0829 c. 114: 5 6 5 6 6 6 7 6 7 8 5 5 5 6 6 6 6 6 7 N SD: 2.7987 c. M:-4.2064 c. 118: 5 6 6 6 6 6 7 7 7 8 5 5 6 6 6 6 6 7 7 N SD: 2.2770 c. M: 4.3771 c. 130: 6 6 6 7 7 7 7 8 8 8 6 6 6 6 7 7 7 7 8 P SD: 1.9374 c. M: 4.6855 c. 131: 6 6 7 6 7 7 8 7 8 9 6 6 6 6 7 7 7 7 8 N SD: 2.4187 c. M: 3.7867 c. 135: 6 6 7 7 7 7 8 8 8 9 6 6 6 7 7 7 7 8 8 N SD: 2.2443 c. M: 5.0646 c. 139: 6 7 7 7 7 8 8 8 8 9 6 7 6 7 7 7 8 8 8 N SD: 2.2216 c. M:-4.2821 c. 140: 6 7 7 7 7 8 8 8 9 9 6 6 7 7 7 7 8 8 8 N SD: 1.7833 c. M: 3.5359 c. 154: 7 7 8 8 8 8 9 9 9 10 7 7 7 8 8 8 8 9 9 P SD: 1.7010 c. M: 3.2967 c. 159: 7 8 8 8 8 9 9 9 10 10 7 7 8 8 8 8 9 9 9 N SD: 2.0859 c. M:-3.1621 c. 164: 7 8 8 8 9 9 9 10 10 10 8 7 8 8 8 9 9 9 10 P SD: 2.4642 c. M: 4.7796 c. 165: 7 8 8 9 8 9 10 9 11 10 7 8 8 8 8 9 9 9 10 N SD: 2.3591 c. M: 4.0553 c. 166: 8 8 8 8 9 9 9 10 10 11 7 8 8 8 8 9 9 9 10 N SD: 1.9838 c. M:-3.9314 c. 168: 8 8 8 8 9 9 10 10 10 11 7 8 8 8 9 8 10 9 10 N SD: 1.8383 c. M: 3.2329 c. 171: 8 8 8 9 9 9 10 10 10 11 8 8 8 8 9 9 9 10 10 P SD: 1.4353 c. M: 3.3046 c. 175: 8 8 9 9 9 9 10 11 10 12 7 8 9 8 9 9 10 10 10 N SD: 1.9799 c. M: 2.9009 c. 176: 8 8 9 9 9 10 10 10 11 11 8 8 8 9 9 9 10 10 10 N SD: 1.3922 c. M: 2.6404 c. 183: 8 9 9 9 10 10 10 11 11 12 8 8 9 9 9 10 10 10 11 N SD: 1.2617 c. M: 2.8211 c. 193: 9 9 9 10 10 11 11 11 12 12 9 9 9 9 10 10 11 11 11 N SD: 1.4279 c. M: 2.5472 c. 216: 10 10 11 11 11 12 12 13 13 14 9 10 10 11 11 11 12 12 13 N SD: 1.3568 c. M: 2.5752 c. 217: 10 10 11 11 11 12 12 13 13 14 10 10 10 11 11 11 12 12 13 N SD: 1.0715 c. M: 2.1404 c. 224: 10 11 11 11 12 12 13 13 14 14 10 10 11 11 11 12 12 13 13 N SD: 0.8840 c. M: 1.5623 c. 270: 12 13 13 14 14 15 15 16 17 17 12 12 13 13 14 14 15 15 16 N SD: 0.8685 c. M: 1.6311 c. 301: 14 14 15 15 16 16 17 18 18 20 13 14 14 15 15 16 16 17 18 N SD: 0.7689 c. M: 1.6260 c. 311: 14 15 15 16 16 17 18 18 19 20 14 14 15 15 16 16 17 18 18 N SD: 0.6248 c. M:-1.2191 c. 388: 18 18 19 20 20 21 22 23 24 25 17 18 18 19 20 20 21 22 23 N SD: 0.5312 c. M:-0.8915 c. 441: 20 21 22 22 23 24 25 26 27 28 20 20 21 22 22 23 24 25 26 N SD: 0.4747 c. M:-1.0916 c. 453: 21 21 22 23 24 25 25 27 28 29 20 21 21 22 23 24 25 25 27 N SD: 0.6056 c. M: 0.8864 c. 458: 21 22 22 23 24 25 26 27 28 30 20 21 22 22 23 24 25 26 27 N SD: 0.5419 c. M:-1.1609 c. 477: 22 22 24 24 25 26 27 28 29 31 21 22 22 24 24 25 26 27 28 N SD: 0.4770 c. M: 1.1077 c. 494: 23 23 24 25 26 27 28 29 30 32 22 23 23 24 25 26 27 28 29 N SD: 0.4128 c. M:-0.9753 c. 547: 25 26 27 27 29 30 31 32 34 35 24 25 26 27 27 29 30 31 32 N SD: 0.4733 c. M:-0.8520 c. 571: 26 27 28 29 30 31 32 34 35 37 25 26 27 28 29 30 31 32 34 N SD: 0.3482 c. M: 0.7812 c. 583: 27 27 29 29 31 32 33 34 36 37 26 27 27 29 29 31 32 33 34 N SD: 0.5169 c. M:-0.7578 c. 588: 27 28 28 30 31 32 33 35 36 38 26 27 28 28 30 31 32 33 35 N SD: 0.5078 c. M: 1.0351 c. 590: 27 28 29 30 31 32 33 35 36 38 26 27 28 29 30 31 32 33 35 N SD: 0.3806 c. M:-0.7803 c. 612: 28 29 30 31 32 33 35 36 38 39 27 28 29 30 31 32 33 35 36 N SD: 0.3067 c. M:-0.8234 c. 648: 30 30 32 33 34 35 37 38 40 41 29 30 30 32 33 34 35 37 38 N SD: 0.3805 c. M: 0.7233 c. 677: 31 32 33 34 36 37 38 40 41 44 30 31 32 33 34 36 37 38 40 N SD: 0.3711 c. M: 0.9723 c. 701: 32 33 35 35 37 38 40 41 43 45 31 32 33 35 35 37 38 40 41 N SD: 0.3592 c. M:-0.7612 c. 718: 33 34 35 36 38 39 41 42 44 46 32 33 34 35 36 38 39 41 42 N SD: 0.2651 c. M: 0.5386 c. 829: 38 39 41 42 43 45 47 49 51 53 37 38 39 41 42 43 45 47 49 N SD: 0.3009 c. M:-0.5259 c. 831: 38 39 41 42 44 45 47 49 51 53 37 38 39 41 42 44 45 47 49 N SD: 0.2740 c. M: 0.6899 c. 882: 40 42 43 45 46 48 50 52 54 57 39 40 42 43 45 46 48 50 52 N SD: 0.2550 c. M: 0.5427 c. 894: 41 42 44 45 47 49 50 53 55 57 40 41 42 44 45 47 49 50 53 N SD: 0.2525 c. M: 0.5269 c. 901: 41 43 44 46 47 49 51 53 55 58 40 41 43 44 46 47 49 51 53 N SD: 0.2480 c. M:-0.5684 c. 934: 43 44 46 47 49 51 53 55 57 60 41 43 44 46 47 49 51 53 55 N SD: 0.2842 c. M:-0.4647 c. 935: 43 44 46 47 49 51 53 55 57 60 42 43 44 46 47 49 51 53 55 N SD: 0.2464 c. M: 0.6027 c. 988: 45 47 48 50 52 54 56 58 61 63 44 45 47 48 50 52 54 56 58 N SD: 0.2256 c. M: 0.4049 c. 1065: 49 50 52 54 56 58 60 63 65 69 47 49 50 52 54 56 58 60 63 N SD: 0.2223 c. M: 0.4580 c. 1106: 51 52 54 56 58 60 63 65 68 71 49 51 52 54 56 58 60 63 65 N SD: 0.1785 c. M:-0.4043 c. 1142: 52 54 56 58 60 62 65 67 70 73 51 52 54 56 58 60 62 65 67 N SD: 0.2189 c. M: 0.3763 c. 1205: 55 57 59 61 63 66 68 71 74 77 54 55 57 59 61 63 66 68 71 N SD: 0.1693 c. M: 0.3833 c. 1224: 56 58 60 62 64 67 69 72 75 79 54 56 58 60 62 64 67 69 72 N SD: 0.1660 c. M:-0.3376 c. 1289: 59 61 63 65 68 70 73 76 79 83 57 59 61 63 65 68 70 73 76 N SD: 0.1260 c. M: 0.3130 c. 1395: 64 66 68 71 73 76 79 82 86 89 62 64 66 68 71 73 76 79 82 N SD: 0.1287 c. M:-0.3174 c. 1448: 66 69 71 73 76 79 82 85 89 93 64 66 69 71 73 76 79 82 85 N SD: 0.1785 c. M:-0.2954 c. 1465: 67 69 72 74 77 80 83 86 90 94 65 67 69 72 74 77 80 83 86 N SD: 0.1484 c. M: 0.3320 c. 1578: 72 75 77 80 83 86 89 93 97 101 70 72 75 77 80 83 86 89 93 N SD: 0.1234 c. M: 0.2654 c. 1600: 73 76 78 81 84 87 91 94 98 103 71 73 76 78 81 84 87 91 94 N SD: 0.1424 c. M: 0.2257 c. 1619: 74 77 79 82 85 88 92 95 99 104 72 74 77 79 82 85 88 92 95 N SD: 0.1404 c. M:-0.2988 c. 1696: 78 80 83 86 89 92 96 100 104 109 75 78 80 83 86 89 92 96 100 N SD: 0.1150 c. M:-0.2243 c. 1730: 79 82 85 87 91 94 98 102 106 111 77 79 82 85 87 91 94 98 102 N SD: 0.1324 c. M:-0.2233 c. 1795: 82 85 88 91 94 98 101 106 110 115 80 82 85 88 91 94 98 101 106 N SD: 0.1276 c. M: 0.2141 c. 1817: 83 86 89 92 95 99 103 107 112 116 81 83 86 89 92 95 99 103 107 N SD: 0.1192 c. M: 0.2440 c. 1942: 89 92 95 98 102 106 110 114 119 125 86 89 92 95 98 102 106 110 114 N SD: 0.1177 c. M:-0.2296 c. 1966: 90 93 96 100 103 107 111 116 121 126 87 90 93 96 100 103 107 111 116 N SD: 0.0998 c. M:-0.1970 c. 2007: 92 95 98 102 105 109 114 118 123 129 89 92 95 98 102 105 109 114 118 N SD: 0.1004 c. M:-0.2160 c. 2072: 95 98 101 105 109 113 117 122 127 133 92 95 98 101 105 109 113 117 122 N SD: 0.0926 c. M:-0.1802 c. 2190: 100 104 107 111 115 119 124 129 134 141 97 100 104 107 111 115 119 124 129 N SD: 0.0921 c. M: 0.2188 c. 2330: 107 110 114 118 122 127 132 137 143 150 103 107 110 114 118 122 127 132 137 N SD: 0.0922 c. M:-0.2450 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: 3.9936 cents 4 .. 8 match: 4 H SD: 9.5649 cents 5 .. 10 match: 5 H SD: 6.4541 cents 6 .. 12 match: 6 H SD: 5.3552 cents 7 .. 14 match: 7 H SD: 6.0476 cents 8 .. 16 match: 8 H SD: 7.9692 cents 9 .. 18 match: 9 H SD: 4.2193 cents 10 .. 20 match: 10 H SD: 4.8267 cents 11 .. 22 match: 11 H SD: 5.0544 cents 12 .. 24 match: 12 H SD: 5.6103 cents 13 .. 26 match: 13 H SD: 4.0648 cents 14 .. 28 match: 14 H SD: 4.2985 cents 15 .. 30 match: 15 H SD: 3.7067 cents 16 .. 32 match: 15 S SD: 5.3825 cents 17 .. 34 match: 16 SD: 4.2384 cents 18 .. 36 match: 17 SD: 2.9791 cents 19 .. 38 match: 16 SD: 5.3037 cents 20 .. 40 match: 18 S SD: 3.7049 cents 21 .. 42 match: 18 SD: 3.6702 cents 22 .. 44 match: 18 SD: 3.0689 cents 23 .. 46 match: 18 SD: 4.1039 cents 24 .. 48 match: 18 SD: 3.8326 cents 25 .. 50 match: 19 SD: 3.5801 cents 26 .. 52 match: 19 SD: 2.6264 cents 27 .. 54 match: 19 SD: 2.6199 cents 28 .. 56 match: 19 SD: 2.2678 cents 35 .. 70 match: 19 SD: 2.2351 cents 36 .. 72 match: 19 SD: 2.1219 cents 38 .. 76 match: 19 SD: 2.0214 cents 40 .. 80 match: 19 SD: 1.8718 cents 42 .. 84 match: 19 SD: 1.8404 cents 48 .. 96 match: 19 SD: 1.5415 cents 56 .. 112 match: 19 SD: 1.4197 cents 57 .. 114 match: 19 SD: 1.2597 cents 58 .. 116 match: 19 SD: 1.1997 cents 60 .. 120 match: 19 SD: 1.0624 cents 64 .. 128 match: 19 SD: 0.9493 cents 86 .. 172 match: 19 SD: 0.7759 cents 90 .. 180 match: 19 SD: 0.6152 cents 117 .. 234 match: 19 SD: 0.5962 cents 118 .. 236 match: 19 SD: 0.5365 cents 125 .. 250 match: 19 SD: 0.5104 cents 146 .. 292 match: 19 SD: 0.5069 cents 147 .. 294 match: 19 SD: 0.4956 cents 148 .. 296 match: 19 SD: 0.4744 cents 153 .. 306 match: 19 SD: 0.4615 cents 156 .. 312 match: 19 SD: 0.4597 cents 161 .. 322 match: 19 SD: 0.4549 cents 162 .. 324 match: 19 SD: 0.4089 cents 182 .. 364 match: 19 SD: 0.3200 cents 212 .. 424 match: 19 SD: 0.3103 cents 222 .. 444 match: 19 SD: 0.2698 cents 252 .. 504 match: 19 SD: 0.2561 cents 281 .. 562 match: 19 SD: 0.2539 cents 282 .. 564 match: 19 SD: 0.2357 cents 286 .. 572 match: 19 SD: 0.2251 cents 312 .. 624 match: 19 SD: 0.2066 cents 330 .. 660 match: 19 SD: 0.1786 cents 350 .. 700 match: 19 SD: 0.1643 cents 378 .. 756 match: 19 SD: 0.1244 cents 524 .. 1048 match: 19 SD: 0.1206 cents 525 .. 1050 match: 19 SD: 0.1177 cents 560 .. 1120 match: 19 SD: 0.1133 cents 588 .. 1176 match: 19 SD: 0.1062 cents