Scala analysis: sims
Ezra Sims' 18-tone mode
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 25/24 70.672427 classic chromatic semitone, minor chroma 2: 13/12 138.572661 tridecimal 2/3-tone 3: 9/8 203.910002 major whole tone 4: 7/6 266.870906 septimal minor third 5: 29/24 327.622193 6: 5/4 386.313714 major third 7: 21/16 470.780907 narrow fourth 8: 11/8 551.317942 undecimal semi-augmented fourth 9: 23/16 628.274347 23rd harmonic 10: 3/2 701.955001 perfect fifth 11: 25/16 772.627428 classic augmented fifth 12: 13/8 840.527662 tridecimal neutral sixth 13: 27/16 905.865003 Pythagorean major sixth 14: 7/4 968.825906 harmonic seventh 15: 29/16 1029.577194 29th harmonic 16: 15/8 1088.268715 classic major seventh 17: 31/16 1145.035572 31st harmonic 18: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 32/31 54.9644 Greek enharmonic 1/4-tone 1: 25/24 70.6724 classic chromatic semitone, minor chroma 2: 26/25 67.9002 tridecimal 1/3-tone 3: 27/26 65.3373 tridecimal comma 4: 28/27 62.9609 Archytas' 1/3-tone 5: 29/28 60.7513 6: 30/29 58.6915 7: 21/20 84.4672 minor semitone 8: 22/21 80.5370 undecimal minor semitone 9: 23/22 76.9564 10: 24/23 73.6807 vicesimotertial minor semitone 11: 25/24 70.6724 classic chromatic semitone, minor chroma 12: 26/25 67.9002 tridecimal 1/3-tone 13: 27/26 65.3373 tridecimal comma 14: 28/27 62.9609 Archytas' 1/3-tone 15: 29/28 60.7513 16: 30/29 58.6915 17: 31/30 56.7669 31st-partial chroma 18: 32/31 54.9644 Greek enharmonic 1/4-tone
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 32/31 54.964 cents Greek enharmonic 1/4-tone 1: 1 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 1: 1 22/21 80.537 cents undecimal minor semitone 1: 1 21/20 84.467 cents minor semitone 2: 1 16/15 111.731 cents minor diatonic semitone 2: 1 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: 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 63/58 143.159 cents 2: 1 25/23 144.353 cents 2: 1 12/11 150.637 cents undecimal neutral second, 3/4-tone 2: 1 23/21 157.493 cents 2: 1 11/10 165.004 cents Ptolemy's second, 4/5-tone 3: 1 32/29 170.423 cents 29th subharmonic 3: 1 31/28 176.210 cents 3: 3 10/9 182.404 cents minor whole tone 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 3: 1 33/29 223.696 cents 3: 1 8/7 231.174 cents septimal whole tone 3: 1 23/20 241.961 cents 4: 1 8/7 231.174 cents septimal whole tone 4: 1 31/27 239.171 cents 4: 1 100/87 241.095 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: 1 36/31 258.874 cents 4: 3 7/6 266.871 cents septimal minor third 4: 1 27/23 277.591 cents vicesimotertial minor third 4: 1 33/28 284.447 cents undecimal minor third 4: 1 13/11 289.210 cents tridecimal minor third 4: 1 69/58 300.652 cents 4: 1 25/21 301.847 cents BP second, quasi-equal minor third 4: 1 6/5 315.641 cents minor third 5: 1 32/27 294.135 cents Pythagorean minor third 5: 1 25/21 301.847 cents BP second, quasi-equal minor third 5: 1 31/26 304.508 cents 5: 1 104/87 308.995 cents 5: 3 6/5 315.641 cents minor third 5: 1 112/93 321.835 cents 5: 2 29/24 327.622 cents 5: 1 63/52 332.208 cents 5: 1 28/23 340.552 cents 5: 1 11/9 347.408 cents undecimal neutral third 5: 1 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 5: 1 69/56 361.403 cents 5: 1 26/21 369.747 cents 5: 1 36/29 374.333 cents 5: 1 5/4 386.314 cents major third 6: 1 16/13 359.472 cents tridecimal neutral third 6: 1 100/81 364.807 cents grave major third 6: 1 26/21 369.747 cents 6: 1 31/25 372.408 cents 6: 1 36/29 374.333 cents 6: 1 56/45 378.602 cents septimal narrow major third 6: 1 116/93 382.587 cents 6: 2 5/4 386.314 cents major third 6: 1 63/50 400.108 cents quasi-equal major third 6: 1 29/23 401.303 cents 6: 1 33/26 412.745 cents tridecimal major third 6: 1 14/11 417.508 cents undecimal diminished fourth or major third 6: 1 23/18 424.364 cents vicesimotertial major third 6: 2 9/7 435.084 cents septimal major third, BP third 6: 1 75/58 445.005 cents 6: 1 13/10 454.214 cents tridecimal semi-diminished fourth 7: 1 32/25 427.373 cents classic diminished fourth 7: 1 50/39 430.145 cents 7: 1 104/81 432.708 cents 7: 1 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: 1 31/24 443.081 cents 7: 1 30/23 459.994 cents 7: 1 21/16 470.781 cents narrow fourth 7: 1 29/22 478.259 cents 7: 1 33/25 480.646 cents 2 pentatones 7: 1 69/52 489.702 cents 7: 2 4/3 498.045 cents perfect fourth 7: 1 75/56 505.757 cents marvelous fourth 7: 1 39/29 512.905 cents 7: 1 27/20 519.551 cents acute fourth 8: 7 4/3 498.045 cents perfect fourth 8: 1 31/23 516.761 cents 8: 1 42/31 525.745 cents 8: 1 15/11 536.951 cents undecimal augmented fourth 8: 1 11/8 551.318 cents undecimal semi-augmented fourth 8: 1 69/50 557.602 cents 8: 1 29/21 558.796 cents 8: 1 18/13 563.382 cents tridecimal augmented fourth 8: 1 25/18 568.717 cents classic augmented fourth 8: 1 39/28 573.657 cents 8: 1 81/58 578.243 cents 8: 1 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 9: 1 40/29 556.737 cents 9: 1 29/21 558.796 cents 9: 1 112/81 561.006 cents 9: 1 18/13 563.382 cents tridecimal augmented fourth 9: 1 104/75 565.945 cents 9: 1 25/18 568.717 cents classic augmented fourth 9: 1 32/23 571.726 cents 23rd subharmonic 9: 1 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 9: 1 31/22 593.718 cents 9: 1 44/31 606.282 cents 9: 1 10/7 617.488 cents Euler's tritone 9: 1 23/16 628.274 cents 23rd harmonic 9: 1 36/25 631.283 cents classic diminished fifth 9: 1 75/52 634.055 cents 9: 1 13/9 636.618 cents tridecimal diminished fifth 9: 1 81/56 638.994 cents 9: 1 42/29 641.204 cents 9: 1 29/20 643.263 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 36/25 631.283 cents classic diminished fifth 10: 1 13/9 636.618 cents tridecimal diminished fifth 10: 1 42/29 641.204 cents 10: 1 100/69 642.398 cents 10: 1 16/11 648.682 cents undecimal semi-diminished fifth 10: 1 22/15 663.049 cents undecimal diminished fifth 10: 1 31/21 674.255 cents 10: 1 46/31 683.239 cents 10: 7 3/2 701.955 cents perfect fifth 11: 1 40/27 680.449 cents grave fifth 11: 1 58/39 687.095 cents 11: 1 112/75 694.243 cents marvelous fifth 11: 2 3/2 701.955 cents perfect fifth 11: 1 104/69 710.298 cents 11: 1 50/33 719.354 cents 3 pentatones 11: 1 44/29 721.741 cents 11: 1 32/21 729.219 cents wide fifth 11: 1 23/15 740.006 cents 11: 1 48/31 756.919 cents 11: 1 31/20 758.722 cents 11: 1 45/29 760.647 cents 11: 1 87/56 762.706 cents 11: 1 14/9 764.916 cents septimal minor sixth 11: 1 81/52 767.292 cents 11: 1 39/25 769.855 cents 11: 1 25/16 772.627 cents classic augmented fifth 12: 1 20/13 745.786 cents tridecimal semi-augmented fifth 12: 1 116/75 754.995 cents 12: 2 14/9 764.916 cents septimal minor sixth 12: 1 36/23 775.636 cents 12: 1 11/7 782.492 cents undecimal augmented fifth 12: 1 52/33 787.255 cents tridecimal minor sixth 12: 1 46/29 798.697 cents 12: 1 100/63 799.892 cents quasi-equal minor sixth 12: 2 8/5 813.686 cents minor sixth 12: 1 93/58 817.413 cents 12: 1 45/28 821.398 cents septimale wide minor sixth 12: 1 29/18 825.667 cents 12: 1 50/31 827.592 cents 12: 1 21/13 830.253 cents 12: 1 81/50 835.193 cents acute minor sixth 12: 1 13/8 840.528 cents tridecimal neutral sixth 13: 1 8/5 813.686 cents minor sixth 13: 1 29/18 825.667 cents 13: 1 21/13 830.253 cents 13: 1 112/69 838.597 cents 13: 1 44/27 845.453 cents neutral sixth 13: 1 18/11 852.592 cents undecimal neutral sixth 13: 1 23/14 859.448 cents 13: 1 104/63 867.792 cents 13: 2 48/29 872.378 cents 13: 1 93/56 878.165 cents 13: 3 5/3 884.359 cents major sixth, BP sixth 13: 1 87/52 891.005 cents 13: 1 52/31 895.492 cents 13: 1 42/25 898.153 cents quasi-equal major sixth 13: 1 27/16 905.865 cents Pythagorean major sixth 14: 1 5/3 884.359 cents major sixth, BP sixth 14: 1 42/25 898.153 cents quasi-equal major sixth 14: 1 116/69 899.348 cents 14: 1 22/13 910.790 cents tridecimal major sixth 14: 1 56/33 915.553 cents 14: 1 46/27 922.409 cents 14: 3 12/7 933.129 cents septimal major sixth 14: 1 31/18 941.126 cents 14: 2 50/29 943.050 cents 14: 1 45/26 949.696 cents 14: 2 26/15 952.259 cents tridecimal semi-augmented sixth 14: 1 87/50 958.905 cents 14: 1 54/31 960.829 cents 14: 1 7/4 968.826 cents harmonic seventh 15: 1 40/23 958.039 cents 15: 1 7/4 968.826 cents harmonic seventh 15: 1 58/33 976.304 cents 15: 1 44/25 978.691 cents undecimal grave minor seventh 15: 1 23/13 987.747 cents 15: 3 16/9 996.090 cents Pythagorean minor seventh 15: 2 25/14 1003.802 cents middle minor seventh 15: 1 93/52 1006.463 cents 15: 2 52/29 1010.950 cents 15: 3 9/5 1017.596 cents just minor seventh, BP seventh 15: 1 56/31 1023.790 cents 15: 1 29/16 1029.577 cents 29th harmonic 16: 1 20/11 1034.996 cents large minor seventh 16: 1 42/23 1042.507 cents 16: 1 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 16: 1 46/25 1055.647 cents 16: 1 116/63 1056.841 cents 16: 2 24/13 1061.427 cents tridecimal neutral seventh 16: 2 50/27 1066.762 cents grave major seventh 16: 2 13/7 1071.702 cents 16/3-tone 16: 1 93/50 1074.363 cents 16: 2 54/29 1076.288 cents 16: 2 28/15 1080.557 cents grave major seventh 16: 1 58/31 1084.542 cents 16: 1 15/8 1088.269 cents classic major seventh 17: 1 40/21 1115.533 cents acute major seventh 17: 1 21/11 1119.463 cents undecimal major seventh 17: 1 44/23 1123.044 cents 17: 1 23/12 1126.319 cents vicesimotertial major seventh 17: 2 48/25 1129.328 cents classic diminished octave 17: 2 25/13 1132.100 cents 17: 2 52/27 1134.663 cents 17: 2 27/14 1137.039 cents septimal major seventh 17: 2 56/29 1139.249 cents 17: 2 29/15 1141.308 cents 17: 1 60/31 1143.233 cents 17: 1 31/16 1145.036 cents 31st harmonic Highest number of different intervals for one interval class: 18 Average number of different intervals per interval class: 14.11765 = 240/17
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0.0 : 70.7 138.6 203.9 266.9 327.6 386.3 470.8 551.3 628.3 702.0 772.6 840.5 905.9 968.8 1029.6 1088.3 1145.0 1200.0 70.7 : 67.9 133.2 196.2 256.9 315.6 400.1 480.6 557.6 631.3 702.0 769.9 835.2 898.2 958.9 1017.6 1074.4 1129.3 1200.0 138.6 : 65.3 128.3 189.0 247.7 332.2 412.7 489.7 563.4 634.1 702.0 767.3 830.3 891.0 949.7 1006.5 1061.4 1132.1 1200.0 203.9 : 63.0 123.7 182.4 266.9 347.4 424.4 498.0 568.7 636.6 702.0 764.9 825.7 884.4 941.1 996.1 1066.8 1134.7 1200.0 266.9 : 60.8 119.4 203.9 284.4 361.4 435.1 505.8 573.7 639.0 702.0 762.7 821.4 878.2 933.1 1003.8 1071.7 1137.0 1200.0 327.6 : 58.7 143.2 223.7 300.7 374.3 445.0 512.9 578.2 641.2 702.0 760.6 817.4 872.4 943.1 1011.0 1076.3 1139.2 1200.0 386.3 : 84.5 165.0 242.0 315.6 386.3 454.2 519.6 582.5 643.3 702.0 758.7 813.7 884.4 952.3 1017.6 1080.6 1141.3 1200.0 470.8 : 80.5 157.5 231.2 301.8 369.7 435.1 498.0 558.8 617.5 674.3 729.2 799.9 867.8 933.1 996.1 1056.8 1115.5 1200.0 551.3 : 77.0 150.6 221.3 289.2 354.5 417.5 478.3 537.0 593.7 648.7 719.4 787.3 852.6 915.6 976.3 1035.0 1119.5 1200.0 628.3 : 73.7 144.4 212.3 277.6 340.6 401.3 460.0 516.8 571.7 642.4 710.3 775.6 838.6 899.3 958.0 1042.5 1123.0 1200.0 702.0 : 70.7 138.6 203.9 266.9 327.6 386.3 443.1 498.0 568.7 636.6 702.0 764.9 825.7 884.4 968.8 1049.4 1126.3 1200.0 772.6 : 67.9 133.2 196.2 256.9 315.6 372.4 427.4 498.0 565.9 631.3 694.2 755.0 813.7 898.2 978.7 1055.6 1129.3 1200.0 840.5 : 65.3 128.3 189.0 247.7 304.5 359.5 430.1 498.0 563.4 626.3 687.1 745.8 830.3 910.8 987.7 1061.4 1132.1 1200.0 905.9 : 63.0 123.7 182.4 239.2 294.1 364.8 432.7 498.0 561.0 621.8 680.4 764.9 845.5 922.4 996.1 1066.8 1134.7 1200.0 968.8 : 60.8 119.4 176.2 231.2 301.8 369.7 435.1 498.0 558.8 617.5 702.0 782.5 859.4 933.1 1003.8 1071.7 1137.0 1200.0 1029.6: 58.7 115.5 170.4 241.1 309.0 374.3 437.3 498.0 556.7 641.2 721.7 798.7 872.4 943.1 1011.0 1076.3 1139.2 1200.0 1088.3: 56.8 111.7 182.4 250.3 315.6 378.6 439.4 498.0 582.5 663.0 740.0 813.7 884.4 952.3 1017.6 1080.6 1141.3 1200.0 1145.0: 55.0 125.6 193.5 258.9 321.8 382.6 441.3 525.7 606.3 683.2 756.9 827.6 895.5 960.8 1023.8 1084.5 1143.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 54.9644 .. 84.4672 cents 651/640, 29.5028 cents 32/31, 54.9644 cents 2: 111.7313 .. 165.0042 cents 33/32, 53.2729 cents 64/63, 27.2641 cents 3: 170.4228 .. 241.9606 cents 667/640, 71.5378 cents 320/319, 5.4186 cents 4: 231.1741 .. 315.6413 cents 21/20, 84.4672 cents 160/161,-10.7865 cents 5: 294.1350 .. 386.3137 cents 135/128, 92.1787 cents 80/81,-21.5063 cents 6: 359.4723 .. 454.2139 cents 169/160, 94.7416 cents 64/65,-26.8414 cents 7: 427.3726 .. 519.5513 cents 135/128, 92.1787 cents 64/65,-26.8414 cents 8: 498.0450 .. 582.5122 cents 21/20, 84.4672 cents 80/81,-21.5063 cents 9: 556.7365 .. 643.2635 cents 841/800, 86.5270 cents 200/203,-25.7757 cents 10: 617.4878 .. 701.9550 cents 21/20, 84.4672 cents 200/203,-25.7757 cents 11: 680.4487 .. 772.6274 cents 135/128, 92.1787 cents 80/81,-21.5063 cents 12: 745.7861 .. 840.5277 cents 169/160, 94.7416 cents 64/65,-26.8414 cents 13: 813.6863 .. 905.8650 cents 135/128, 92.1787 cents 64/65,-26.8414 cents 14: 884.3587 .. 968.8259 cents 21/20, 84.4672 cents 80/81,-21.5063 cents 15: 958.0394 .. 1029.5772 cents 667/640, 71.5378 cents 160/161,-10.7865 cents 16: 1034.9958 .. 1088.2687 cents 33/32, 53.2729 cents 320/319, 5.4186 cents 17: 1115.5328 .. 1145.0356 cents 651/640, 29.5028 cents 64/63, 27.2641 cents
SHOW DATA
Number of notes : 18 -- Interval properties -- Smallest interval : 32/31, 54.9644 cents, class 1 Average step (divided formal octave): 66.6667 cents Largest one step interval : 21/20, 84.4672 cents Average / Smallest step : 1.212906 Largest / Average step : 1.267008 Largest / Smallest step : 1.536761 Median interval of one step : 27/26, 65.3373 cents, amount: 2 Least squares average step : 68.37822 cents, oct.: 1230.80788 cents Scale is not proper Step pattern alph. order: ABCDEFGHIJABCDEFKL Step pattern size order : HGFEDCLKJIHGFEDCBA Scale is not a Constant Structure Scale diversity : 1.593104 Lumma stability : 0.146078 Lumma impropriety factor : 0.222096 Number of different interval sizes : 216 = 12.70588 / class Number of one step interval sizes : 12 Highest interval variety : 18 Mean interval variety : 14.11765 = 240/17 Median interval variety : 12 Lowest interval variety : 12 Smallest interval difference : 2001/2000, 0.8654 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 9 Most common triad is 0.0 498.045 701.955 cents, amount: 3 Number of recognisable fifths : 13, average 702.1989 cents Number of appreciable fifths : 11, average 702.0124 cents All steps are superparticular (epimoric) Length of longest harmonic part : 12 at degree 6 Formal octave complements present : 1 = 5.5556% 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 n-1 differentially coherent in interval classes 4 and 5 combined Scale is n-1 differentially coherent in interval classes 9 and 10 combined -- Rational properties -- Prime limit : 31 Odd number limit : 93 (O: 93 U: 93) Highest odd numerator or denominator: 31 Scale harmonicity : 0.005706 Fundamental : 1/48, -5.5850 octaves, 5.4505 Hz. Guide tone : too high to compute Exponens Consonantiae : 1.341209E+12, 40.28667 octaves Euler's gradus suavitatis : 130 Sum of Mann's harmonic distance : 250.0, average 13.88889 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 19.59325, average 1.08851 Sum of Tenney's harmonic distance : 36.85426, average 2.04746 Vogel's harmonic complexity : 16.05556 Wille's k value : 46 Wilson's harmonic complexity : 136 Rectangular lattice diameter : 12 Triangular lattice diameter : 4 Lattice compactness : 458.52948, average 2.68146 Lattice compactness (without 2's) : 311.65506, average 1.82254 Number of different primes : 9 Prime exponents' range, average, count, tones@limit: 2: -4 .. 1 -2.72222 51 1 3: -1 .. 3 0.22222 12 3 5: 0 .. 2 0.33333 6 4 7: 0 .. 1 0.16667 3 3 11: 0 .. 1 0.05556 1 1 13: 0 .. 1 0.11111 2 2 23: 0 .. 1 0.05556 1 1 29: 0 .. 1 0.11111 2 2 31: 0 .. 1 0.05556 1 1 Average exponent except 2's : 20 / 18 = 1.11111 Average absolute exponent except 2's: 28 / 18 = 1.55556 Scale is weakly epimorphic with val: <18 28 43 52 63 67 83 87 91| Scale is weakly epimorphic with val: <18 28 43 52 63 69 83 85 91|
FIT/MODE
18: 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 1 1 1 N T3 SD: 30.2100 c. M: 60.9555 c. 19: 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 P M ME SD: 15.1994 c. M: 28.6756 c. 21: 1 1 2 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 N SD: 15.1385 c. M:-27.3726 c. 22: 1 2 1 1 1 1 2 1 2 1 1 1 2 1 1 1 1 1 N D3 SD: 14.1179 c. M:-26.2711 c. 23: 1 2 1 1 1 1 2 2 1 1 2 1 1 2 1 1 1 1 N SD: 14.3567 c. M: 23.6941 c. 26: 2 1 1 2 1 1 2 2 2 1 2 1 2 1 1 2 1 1 N SD: 12.8023 c. M:-21.6353 c. 28: 2 1 2 1 2 1 2 2 2 1 2 2 1 2 1 1 2 1 N SD: 11.3042 c. M:-16.8884 c. 31: 2 2 1 2 1 2 2 2 2 2 2 2 1 2 2 1 2 1 N SD: 10.2335 c. M: 17.9448 c. 33: 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 1 2 N SD: 9.3879 c. M: 17.7628 c. 34: 2 2 2 2 1 2 2 3 2 2 2 2 2 1 2 2 1 2 N SD: 9.3147 c. M: 15.8847 c. 36: 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 1 2 P G D3 SD: 7.3625 c. M:-15.3487 c. 40: 2 3 2 2 2 2 3 2 3 2 3 2 2 2 2 2 2 2 N SD: 7.5350 c. M: 11.9550 c. 41: 2 3 2 2 2 2 3 3 2 3 2 3 2 2 2 2 2 2 N SD: 6.6037 c. M: 13.6402 c. 48: 3 3 2 3 2 3 3 3 3 3 3 3 2 3 2 3 2 2 N SD: 6.7084 c. M:-13.6863 c. 50: 3 3 2 3 3 2 4 3 3 3 3 3 3 2 3 2 3 2 N SD: 6.0370 c. M: 11.9100 c. 51: 3 3 3 2 3 2 4 3 4 3 3 3 3 2 3 2 3 2 N SD: 6.4305 c. M:-11.7821 c. 53: 3 3 3 3 2 3 4 3 4 3 3 3 3 3 2 3 3 2 N SD: 5.3729 c. M: 10.7093 c. 54: 3 3 3 3 3 2 4 4 3 4 3 3 3 3 2 3 3 2 N SD: 5.9364 c. M:-10.5200 c. 57: 3 4 3 3 3 2 4 4 4 3 4 3 3 3 3 3 2 3 N SD: 6.0368 c. M:-9.2199 c. 59: 4 3 3 3 3 3 4 4 4 4 3 3 4 3 3 3 2 3 N SD: 5.9674 c. M:-10.6835 c. 61: 4 3 3 4 3 3 4 4 4 4 3 4 3 3 3 3 3 3 N SD: 5.3350 c. M:-8.5389 c. 63: 4 3 4 3 3 3 5 4 4 4 4 3 4 3 3 3 3 3 N SD: 4.3223 c. M:-8.4207 c. 68: 4 4 4 3 4 3 5 4 5 4 4 4 3 4 3 4 3 3 N SD: 4.8347 c. M:-7.8547 c. 69: 4 4 4 3 4 3 5 5 4 4 4 4 4 4 3 4 3 3 N SD: 4.3827 c. M: 7.4100 c. 77: 4 5 4 4 4 4 5 5 5 5 4 5 4 4 4 4 3 4 N SD: 4.1698 c. M: 8.9911 c. 78: 5 4 4 4 4 4 6 5 5 5 4 5 4 4 4 4 3 4 N SD: 4.0638 c. M: 6.5740 c. 79: 5 4 4 5 4 3 6 5 5 5 5 4 5 4 4 4 3 4 N SD: 4.7607 c. M: 6.5669 c. 81: 5 4 5 4 4 4 6 5 5 5 5 5 4 4 4 4 4 4 N SD: 4.2366 c. M: 7.3550 c. 84: 5 5 4 5 4 4 6 6 5 5 5 5 4 5 4 4 4 4 N SD: 2.9328 c. M: 5.8650 c. 87: 5 5 5 4 5 4 6 6 6 5 5 5 5 4 5 4 4 4 N SD: 2.8772 c. M:-6.2084 c. 89: 5 5 5 5 4 5 6 6 6 5 5 5 5 5 4 5 4 4 N SD: 3.2868 c. M:-5.4335 c. 94: 6 5 5 5 5 4 7 6 6 6 6 5 5 5 5 4 5 4 N SD: 3.1085 c. M:-6.0960 c. 103: 6 6 5 6 5 5 7 7 7 6 6 6 6 5 5 5 5 5 N SD: 3.0683 c. M: 5.8517 c. 106: 6 6 6 6 5 5 8 7 6 7 6 6 6 6 5 5 5 5 N SD: 2.8837 c. M: 5.6328 c. 107: 6 6 6 6 5 5 8 7 7 7 6 6 6 5 6 5 5 5 N SD: 2.6379 c. M: 5.0053 c. 113: 7 6 6 6 6 5 8 8 7 7 7 6 6 6 6 5 6 5 N SD: 2.4867 c. M: 5.0829 c. 114: 7 6 6 6 6 6 8 7 8 7 6 7 6 6 6 5 6 5 N SD: 2.8417 c. M: 4.2064 c. 118: 7 7 6 6 6 6 8 8 8 7 7 7 6 6 6 6 6 5 N SD: 2.2135 c. M:-4.1170 c. 130: 8 7 7 7 7 6 9 9 8 8 8 7 7 7 7 6 6 6 N SD: 1.9881 c. M:-4.6855 c. 131: 8 7 7 7 7 6 9 9 9 8 7 8 7 7 6 7 6 6 N SD: 2.3711 c. M:-3.7867 c. 135: 8 8 7 7 7 7 9 9 9 8 8 8 7 7 7 7 6 6 N SD: 2.2837 c. M:-5.0646 c. 140: 8 8 8 7 7 7 10 9 9 9 8 8 8 7 7 7 7 6 N SD: 1.7174 c. M:-3.5359 c. 151: 9 8 9 8 7 8 10 10 10 9 9 9 8 8 8 7 7 7 N SD: 2.1573 c. M:-3.5354 c. 152: 9 9 8 8 8 7 11 10 10 9 9 9 8 8 8 7 7 7 N SD: 2.4181 c. M:-4.6333 c. 154: 9 9 8 8 8 8 10 11 10 9 9 9 8 8 8 8 7 7 N SD: 1.8847 c. M:-3.2967 c. 170: 10 10 9 9 8 9 12 11 11 10 10 10 9 9 9 8 8 8 N SD: 1.8324 c. M: 3.2157 c. 171: 10 10 9 9 9 8 12 12 11 10 10 10 9 9 9 8 8 8 N SD: 1.4628 c. M:-3.3046 c. 176: 10 10 10 9 9 9 12 12 11 11 10 10 10 9 9 9 8 8 N SD: 1.4302 c. M:-2.6404 c. 183: 11 10 10 10 9 9 13 12 12 11 11 10 10 10 9 9 9 8 N SD: 1.1550 c. M:-2.5054 c. 217: 13 12 12 11 11 11 15 15 14 13 13 12 12 11 11 11 10 10 N SD: 1.0996 c. M:-2.1404 c. 224: 13 13 12 12 11 11 16 15 14 14 13 13 12 12 11 11 11 10 N SD: 0.8432 c. M: 1.4886 c. 270: 16 15 15 14 14 13 19 18 17 17 16 15 15 14 14 13 13 12 N SD: 0.8337 c. M:-1.6311 c. 301: 18 17 16 16 15 15 21 20 20 18 18 17 16 16 15 15 14 14 N SD: 0.7803 c. M:-1.6260 c. 311: 18 18 17 16 16 15 22 21 20 19 18 18 17 16 16 15 15 14 N SD: 0.6196 c. M: 1.2191 c. 378: 22 22 20 20 19 19 26 26 24 23 22 22 20 20 19 19 18 17 N SD: 0.8180 c. M: 1.1989 c. 387: 23 22 21 20 20 19 27 26 25 23 23 22 21 20 20 19 18 18 N SD: 0.7943 c. M: 1.3840 c. 388: 23 22 21 20 20 19 27 26 25 24 23 22 21 20 20 19 18 18 N SD: 0.5348 c. M: 0.8915 c. 441: 26 25 24 23 22 22 31 30 28 27 26 25 24 23 22 22 21 20 N SD: 0.4753 c. M: 1.0916 c. 453: 27 25 25 24 23 22 32 30 29 28 27 25 25 24 23 22 21 21 N SD: 0.6251 c. M:-0.8864 c. 457: 27 26 25 24 23 22 32 31 29 28 27 26 25 24 23 22 22 21 N SD: 0.5969 c. M: 1.1790 c. 458: 27 26 25 24 23 22 33 30 30 28 27 26 25 24 23 22 22 21 N SD: 0.5842 c. M: 1.1609 c. 472: 28 27 25 25 24 23 33 32 30 29 28 27 25 25 24 23 22 22 N SD: 0.5488 c. M:-1.2578 c. 477: 28 27 26 25 24 23 34 32 31 29 28 27 26 25 24 23 23 22 N SD: 0.5865 c. M: 1.4763 c. 494: 29 28 27 26 25 24 35 33 32 30 29 28 27 26 25 24 23 23 N SD: 0.3732 c. M: 0.9060 c. 571: 34 32 31 30 29 28 40 38 37 35 34 32 31 30 29 28 27 26 N SD: 0.3479 c. M:-0.7812 c. 583: 34 33 32 31 29 29 41 39 37 36 34 33 32 31 29 29 27 27 N SD: 0.5327 c. M: 0.7578 c. 590: 35 33 32 31 30 29 41 40 38 36 35 33 32 31 30 29 28 27 N SD: 0.4404 c. M: 0.9504 c. 607: 36 34 33 32 31 29 43 41 39 37 36 34 33 32 31 29 29 28 N SD: 0.4277 c. M: 0.9541 c. 612: 36 35 33 32 31 30 43 41 39 38 36 35 33 32 31 30 29 28 N SD: 0.3181 c. M: 0.8234 c. 648: 38 37 35 34 33 32 45 44 41 40 38 37 35 34 33 32 30 30 N SD: 0.3852 c. M:-0.7233 c. 684: 40 39 37 36 35 33 48 46 44 42 40 39 37 36 35 33 33 31 N SD: 0.4188 c. M: 0.6976 c. 696: 41 39 38 37 35 34 49 47 44 43 41 39 38 37 35 34 33 32 N SD: 0.4089 c. M: 0.8725 c. 699: 41 40 38 36 36 34 49 47 45 43 41 40 38 36 36 34 33 32 N SD: 0.3922 c. M: 0.7765 c. 701: 41 40 38 37 35 35 49 47 45 43 41 40 38 37 35 35 33 32 N SD: 0.3621 c. M: 0.7612 c. 711: 42 40 39 37 36 35 50 48 45 44 42 40 39 37 36 35 33 33 N SD: 0.3203 c. M: 0.7318 c. 718: 42 41 39 38 36 35 51 48 46 44 42 41 39 38 36 35 34 33 N SD: 0.2963 c. M:-0.5386 c. 764: 45 43 42 40 39 37 54 51 49 47 45 43 42 40 39 37 36 35 N SD: 0.3198 c. M:-0.7893 c. 783: 46 44 43 41 40 38 55 53 50 48 46 44 43 41 40 38 37 36 N SD: 0.2997 c. M: 0.6809 c. 795: 47 45 43 42 40 39 56 53 51 49 47 45 43 42 40 39 38 36 N SD: 0.2558 c. M:-0.6248 c. 829: 49 47 45 43 42 41 58 56 53 51 49 47 45 43 42 41 39 38 N SD: 0.3166 c. M: 0.5259 c. 831: 49 47 45 44 42 41 58 56 53 51 49 47 45 44 42 41 39 38 N SD: 0.2735 c. M:-0.6899 c. 882: 52 50 48 46 45 43 62 59 57 54 52 50 48 46 45 43 42 40 N SD: 0.2381 c. M:-0.5427 c. 938: 55 53 51 50 47 46 66 63 60 58 55 53 51 49 48 46 44 43 N SD: 0.2771 c. M:-0.5065 c. 964: 57 54 53 50 49 47 68 65 62 59 57 54 53 50 49 47 46 44 N SD: 0.2998 c. M: 0.4809 c. 966: 57 55 52 51 49 47 68 65 62 59 57 55 52 51 49 47 46 44 N SD: 0.2506 c. M:-0.5578 c. 988: 58 56 54 52 50 48 70 66 63 61 58 56 54 52 50 48 47 45 N SD: 0.2505 c. M:-0.4742 c. 1007: 59 57 55 53 51 49 71 68 64 62 59 57 55 53 51 49 48 46 N SD: 0.2454 c. M: 0.4328 c. 1065: 63 60 58 56 54 52 75 71 69 65 63 60 58 56 54 52 50 49 N SD: 0.2250 c. M:-0.4580 c. 1106: 65 63 60 58 56 54 78 74 71 68 65 63 60 58 56 54 52 51 N SD: 0.1584 c. M: 0.3701 c. 1205: 71 68 66 63 61 59 85 81 77 74 71 68 66 63 61 59 57 55 N SD: 0.1811 c. M:-0.3833 c. 1224: 72 69 67 64 62 60 86 82 79 75 72 69 67 64 62 60 58 56 N SD: 0.1760 c. M: 0.3376 c. 1289: 76 73 70 68 65 63 91 86 83 79 76 73 70 68 65 63 61 59 N SD: 0.1449 c. M:-0.3130 c. 1395: 82 79 76 73 71 68 98 94 89 86 82 79 76 73 71 68 66 64 N SD: 0.1431 c. M: 0.3174 c. 1448: 85 82 79 76 73 71 102 97 93 89 85 82 79 76 73 71 69 66 N SD: 0.1707 c. M: 0.2954 c. 1465: 86 83 80 77 74 72 103 98 94 90 86 83 80 77 74 72 69 67 N SD: 0.1595 c. M:-0.3320 c. 1547: 91 88 84 81 78 76 109 104 99 95 91 88 84 81 78 76 73 71 N SD: 0.1520 c. M:-0.3256 c. 1578: 93 89 86 83 80 77 111 106 101 97 93 89 86 83 80 77 75 72 N SD: 0.1104 c. M: 0.2235 c. 1696: 100 96 92 89 86 83 119 114 109 104 100 96 92 89 86 83 80 78 N SD: 0.1272 c. M: 0.2620 c. 1730: 102 98 94 91 87 85 122 116 111 106 102 98 94 91 87 85 82 79 N SD: 0.1393 c. M: 0.2233 c. 1776: 105 100 97 93 90 87 125 119 114 109 105 100 97 93 90 87 84 81 N SD: 0.1656 c. M:-0.3455 c. 1795: 106 101 98 94 91 88 126 121 115 110 106 101 98 94 91 88 85 82 N SD: 0.1304 c. M:-0.2141 c. 1817: 107 103 99 95 92 89 128 122 116 112 107 103 99 95 92 89 86 83 N SD: 0.1224 c. M:-0.2440 c. 1889: 111 107 103 99 96 92 133 127 121 116 111 107 103 99 96 92 89 87 N SD: 0.1165 c. M: 0.3029 c. 1920: 113 109 104 101 97 94 135 129 123 118 113 109 104 101 97 94 91 88 N SD: 0.1264 c. M: 0.2400 c. 1942: 114 110 106 102 98 95 137 130 125 119 114 110 106 102 98 95 92 89 N SD: 0.1219 c. M: 0.2296 c. 1966: 116 111 107 103 100 96 138 132 126 121 116 111 107 103 100 96 93 90 N SD: 0.1102 c. M: 0.1970 c. 2072: 122 117 113 109 105 101 146 139 133 127 122 117 113 109 105 101 98 95 N SD: 0.0961 c. M: 0.1802 c. 2190: 129 124 119 115 111 107 154 147 141 134 129 124 119 115 111 107 104 100 N SD: 0.0837 c. M:-0.2188 c. 2330: 137 132 127 122 118 114 164 156 150 143 137 132 127 122 118 114 110 107 N SD: 0.0874 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: 11.5751 cents 4 .. 8 match: 4 H SD: 0.0000 cents 5 .. 10 match: 5 H SD: 8.9008 cents 6 .. 12 match: 6 H SD: 6.6611 cents 7 .. 14 match: 7 H SD: 8.1429 cents 8 .. 16 match: 8 H SD: 0.0000 cents 9 .. 18 match: 9 H SD: 6.1819 cents 10 .. 20 match: 10 H SD: 6.0355 cents 11 .. 22 match: 11 H SD: 5.7079 cents 12 .. 24 match: 12 H SD: 4.6489 cents 13 .. 26 match: 13 H SD: 5.0432 cents 14 .. 28 match: 14 H SD: 5.1931 cents 15 .. 30 match: 15 H SD: 5.6636 cents 16 .. 32 match: 16 H SD: 2.8206 cents 17 .. 34 match: 16 S SD: 5.2739 cents 18 .. 36 match: 17 S SD: 4.5650 cents 19 .. 38 match: 17 SD: 3.9998 cents 20 .. 40 match: 17 SD: 4.1485 cents 21 .. 42 match: 17 SD: 4.1563 cents 22 .. 44 match: 18 SD: 3.8382 cents 23 .. 46 match: 18 SD: 2.9193 cents 25 .. 50 match: 18 SD: 2.6948 cents 32 .. 64 match: 18 SD: 1.7909 cents 47 .. 94 match: 18 SD: 1.6445 cents 48 .. 96 match: 18 S SD: 0.0000 cents