Scala analysis: cw19_7

CalkinWilf(<19 30 44 53|)

Generated by Scala: https://www.huygens-fokker.org/scala/

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         21/20             84.467193 minor semitone
  2:         35/32            155.139620 septimal neutral second
  3:          9/8             203.910002 major whole tone
  4:          7/6             266.870906 septimal minor third
  5:          6/5             315.641287 minor third
  6:          5/4             386.313714 major third
  7:          9/7             435.084095 septimal major third, BP third
  8:          4/3             498.044999 perfect fourth
  9:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
 10:         10/7             617.487807 Euler's tritone
 11:          3/2             701.955001 perfect fifth
 12:         14/9             764.915905 septimal minor sixth
 13:          8/5             813.686286 minor sixth
 14:          5/3             884.358713 major sixth, BP sixth
 15:          7/4             968.825906 harmonic seventh
 16:          9/5            1017.596288 just minor seventh, BP seventh
 17:         15/8            1088.268715 classic major seventh
 18:         40/21           1115.532807 acute major seventh
 19:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         21/20             84.4672 minor semitone
  1:         21/20             84.4672 minor semitone
  2:         25/24             70.6724 classic chromatic semitone, minor chroma
  3:         36/35             48.7704 septimal diesis, 1/4-tone
  4:         28/27             62.9609 Archytas' 1/3-tone
  5:         36/35             48.7704 septimal diesis, 1/4-tone
  6:         25/24             70.6724 classic chromatic semitone, minor chroma
  7:         36/35             48.7704 septimal diesis, 1/4-tone
  8:         28/27             62.9609 Archytas' 1/3-tone
  9:         21/20             84.4672 minor semitone
 10:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 11:         21/20             84.4672 minor semitone
 12:         28/27             62.9609 Archytas' 1/3-tone
 13:         36/35             48.7704 septimal diesis, 1/4-tone
 14:         25/24             70.6724 classic chromatic semitone, minor chroma
 15:         21/20             84.4672 minor semitone
 16:         36/35             48.7704 septimal diesis, 1/4-tone
 17:         25/24             70.6724 classic chromatic semitone, minor chroma
 18:         64/63             27.2641 septimal comma, Archytas' comma
 19:         21/20             84.4672 minor semitone
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 64/63               27.264 cents   septimal comma, Archytas' comma
  1:   1 50/49               34.976 cents   Erlich's decatonic comma, tritonic diesis
  1:   5 36/35               48.770 cents   septimal diesis, 1/4-tone
  1:   3 28/27               62.961 cents   Archytas' 1/3-tone
  1:   4 25/24               70.672 cents   classic chromatic semitone, minor chroma
  1:   5 21/20               84.467 cents   minor semitone
  2:   1 200/189             97.937 cents   
  2:   5 16/15               111.731 cents  minor diatonic semitone
  2:   7 15/14               119.443 cents  major diatonic semitone
  2:   1 27/25               133.238 cents  large limma, BP small semitone, Zarlino semitone
  2:   2 49/45               147.428 cents  BP minor semitone
  2:   2 35/32               155.140 cents  septimal neutral second
  2:   1 441/400             168.934 cents  two (minor semitone)
  3:   1 160/147             146.707 cents  
  3:   1 192/175             160.502 cents  septimal 4/5-tone
  3:   1 54/49               168.213 cents  Zalzal's mujannab
  3:   7 10/9                182.404 cents  minor whole tone
  3:   3 28/25               196.198 cents  middle second
  3:   5 9/8                 203.910 cents  major whole tone
  3:   1 147/128             239.607 cents  
  4:   8 8/7                 231.174 cents  septimal whole tone
  4:   1 81/70               252.680 cents  Al-Hwarizmi's lute middle finger
  4:   8 7/6                 266.871 cents  septimal minor third
  4:   1 75/64               274.582 cents  classic augmented second
  4:   1 189/160             288.377 cents  
  5:   1 288/245             279.944 cents  
  5:   1 32/27               294.135 cents  Pythagorean minor third
  5:   4 25/21               301.847 cents  BP second, quasi-equal minor third
  5:   8 6/5                 315.641 cents  minor third
  5:   1 135/112             323.353 cents  septimal wide minor third
  5:   1 98/81               329.832 cents  
  5:   1 175/144             337.543 cents  
  5:   2 49/40               351.338 cents  larger approximation to neutral third
  6:   1 128/105             342.905 cents  septimal neutral third
  6:   3 60/49               350.617 cents  smaller approximation to neutral third
  6:   4 56/45               378.602 cents  septimal narrow major third
  6:   8 5/4                 386.314 cents  major third
  6:   3 63/50               400.108 cents  quasi-equal major third
  7:   3 80/63               413.578 cents  wide major third
  7:   3 32/25               427.373 cents  classic diminished fourth
  7:   5 9/7                 435.084 cents  septimal major third, BP third
  7:   3 35/27               449.275 cents  septimal semi-diminished fourth, 9/4-tone
  7:   5 21/16               470.781 cents  narrow fourth
  8:   1 64/49               462.348 cents  2 septatones or septatonic major third
  8:  11 4/3                 498.045 cents  perfect fourth
  8:   1 75/56               505.757 cents  marvelous fourth
  8:   4 27/20               519.551 cents  acute fourth
  8:   1 49/36               533.742 cents  Arabic lute acute fourth
  8:   1 175/128             541.453 cents  
  9:   2 200/147             533.021 cents  
  9:   4 48/35               546.815 cents  septimal semi-augmented fourth
  9:   1 112/81              561.006 cents  
  9:   2 25/18               568.717 cents  classic augmented fourth
  9:   7 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  9:   3 45/32               590.224 cents  diatonic tritone
 10:   3 64/45               609.776 cents  2nd tritone
 10:   7 10/7                617.488 cents  Euler's tritone
 10:   2 36/25               631.283 cents  classic diminished fifth
 10:   1 81/56               638.994 cents  
 10:   4 35/24               653.185 cents  septimal semi-diminished fifth
 10:   2 147/100             666.979 cents  
 11:   1 256/175             658.547 cents  
 11:   1 72/49               666.258 cents  Arabic lute grave fifth
 11:   4 40/27               680.449 cents  grave fifth
 11:   1 112/75              694.243 cents  marvelous fifth
 11:  11 3/2                 701.955 cents  perfect fifth
 11:   1 49/32               737.652 cents  
 12:   5 32/21               729.219 cents  wide fifth
 12:   3 54/35               750.725 cents  septimal semi-augmented fifth
 12:   5 14/9                764.916 cents  septimal minor sixth
 12:   3 25/16               772.627 cents  classic augmented fifth
 12:   3 63/40               786.422 cents  narrow minor sixth
 13:   3 100/63              799.892 cents  quasi-equal minor sixth
 13:   8 8/5                 813.686 cents  minor sixth
 13:   4 45/28               821.398 cents  septimale wide minor sixth
 13:   3 49/30               849.383 cents  larger approximation to neutral sixth
 13:   1 105/64              857.095 cents  septimal neutral sixth
 14:   2 80/49               848.662 cents  smaller approximation to neutral sixth
 14:   1 288/175             862.457 cents  
 14:   1 81/49               870.168 cents  two (septimal major third, BP third)
 14:   1 224/135             876.647 cents  narrow septimal major sixth
 14:   8 5/3                 884.359 cents  major sixth, BP sixth
 14:   4 42/25               898.153 cents  quasi-equal major sixth
 14:   1 27/16               905.865 cents  Pythagorean major sixth
 14:   1 245/144             920.056 cents  
 15:   1 320/189             911.623 cents  
 15:   1 128/75              925.418 cents  diminished seventh
 15:   8 12/7                933.129 cents  septimal major sixth
 15:   1 140/81              947.320 cents  
 15:   8 7/4                 968.826 cents  harmonic seventh
 16:   1 256/147             960.393 cents  
 16:   5 16/9                996.090 cents  Pythagorean minor seventh
 16:   3 25/14               1003.802 cents middle minor seventh
 16:   7 9/5                 1017.596 cents just minor seventh, BP seventh
 16:   1 49/27               1031.787 cents 
 16:   1 175/96              1039.498 cents 
 16:   1 147/80              1053.293 cents 
 17:   1 800/441             1031.066 cents 
 17:   2 64/35               1044.860 cents septimal neutral seventh
 17:   2 90/49               1052.572 cents 
 17:   1 50/27               1066.762 cents grave major seventh
 17:   7 28/15               1080.557 cents grave major seventh
 17:   5 15/8                1088.269 cents classic major seventh
 17:   1 189/100             1102.063 cents 
 18:   5 40/21               1115.533 cents acute major seventh
 18:   4 48/25               1129.328 cents classic diminished octave
 18:   3 27/14               1137.039 cents septimal major seventh
 18:   5 35/18               1151.230 cents septimal semi-diminished octave
 18:   1 49/25               1165.024 cents BP eighth
 18:   1 63/32               1172.736 cents octave - septimal comma
Highest number of different intervals for one interval class: 8
Average number of different intervals per interval class: 6.11111 = 55/9
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   : 84.5 155.1 203.9 266.9 315.6 386.3 435.1 498.0 582.5 617.5 702.0 764.9 813.7 884.4 968.8 1017.6 1088.3 1115.5 1200.0
 84.5  : 70.7 119.4 182.4 231.2 301.8 350.6 413.6 498.0 533.0 617.5 680.4 729.2 799.9 884.4 933.1 1003.8 1031.1 1115.5 1200.0
 155.1 : 48.8 111.7 160.5 231.2 279.9 342.9 427.4 462.3 546.8 609.8 658.5 729.2 813.7 862.5 933.1 960.4  1044.9 1129.3 1200.0
 203.9 : 63.0 111.7 182.4 231.2 294.1 378.6 413.6 498.0 561.0 609.8 680.4 764.9 813.7 884.4 911.6 996.1  1080.6 1151.2 1200.0
 266.9 : 48.8 119.4 168.2 231.2 315.6 350.6 435.1 498.0 546.8 617.5 702.0 750.7 821.4 848.7 933.1 1017.6 1088.3 1137.0 1200.0
 315.6 : 70.7 119.4 182.4 266.9 301.8 386.3 449.3 498.0 568.7 653.2 702.0 772.6 799.9 884.4 968.8 1039.5 1088.3 1151.2 1200.0
 386.3 : 48.8 111.7 196.2 231.2 315.6 378.6 427.4 498.0 582.5 631.3 702.0 729.2 813.7 898.2 968.8 1017.6 1080.6 1129.3 1200.0
 435.1 : 63.0 147.4 182.4 266.9 329.8 378.6 449.3 533.7 582.5 653.2 680.4 764.9 849.4 920.1 968.8 1031.8 1080.6 1151.2 1200.0
 498.0 : 84.5 119.4 203.9 266.9 315.6 386.3 470.8 519.6 590.2 617.5 702.0 786.4 857.1 905.9 968.8 1017.6 1088.3 1137.0 1200.0
 582.5 : 35.0 119.4 182.4 231.2 301.8 386.3 435.1 505.8 533.0 617.5 702.0 772.6 821.4 884.4 933.1 1003.8 1052.6 1115.5 1200.0
 617.5 : 84.5 147.4 196.2 266.9 351.3 400.1 470.8 498.0 582.5 667.0 737.7 786.4 849.4 898.2 968.8 1017.6 1080.6 1165.0 1200.0
 702.0 : 63.0 111.7 182.4 266.9 315.6 386.3 413.6 498.0 582.5 653.2 702.0 764.9 813.7 884.4 933.1 996.1  1080.6 1115.5 1200.0
 764.9 : 48.8 119.4 203.9 252.7 323.4 350.6 435.1 519.6 590.2 639.0 702.0 750.7 821.4 870.2 933.1 1017.6 1052.6 1137.0 1200.0
 813.7 : 70.7 155.1 203.9 274.6 301.8 386.3 470.8 541.5 590.2 653.2 702.0 772.6 821.4 884.4 968.8 1003.8 1088.3 1151.2 1200.0
 884.4 : 84.5 133.2 203.9 231.2 315.6 400.1 470.8 519.6 582.5 631.3 702.0 750.7 813.7 898.2 933.1 1017.6 1080.6 1129.3 1200.0
 968.8 : 48.8 119.4 146.7 231.2 315.6 386.3 435.1 498.0 546.8 617.5 666.3 729.2 813.7 848.7 933.1 996.1  1044.9 1115.5 1200.0
 1017.6: 70.7 97.9  182.4 266.9 337.5 386.3 449.3 498.0 568.7 617.5 680.4 764.9 799.9 884.4 947.3 996.1  1066.8 1151.2 1200.0
 1088.3: 27.3 111.7 196.2 266.9 315.6 378.6 427.4 498.0 546.8 609.8 694.2 729.2 813.7 876.6 925.4 996.1  1080.6 1129.3 1200.0
 1115.5: 84.5 168.9 239.6 288.4 351.3 400.1 470.8 519.6 582.5 667.0 702.0 786.4 849.4 898.2 968.8 1053.3 1102.1 1172.7 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:  97.9365   .. 168.9344 cents      83349/80000, 70.9979 cents         4000/3969, 13.4693 cents
  3:  146.7069  .. 239.6068 cents      21609/20480, 92.8999 cents         64000/64827,-22.2275 cents
  4:  231.1741  .. 288.3772 cents      1323/1280, 57.2031 cents           1024/1029,-8.4327 cents
  5:  279.9445  .. 351.3381 cents      2401/2304, 71.3936 cents           1024/1029,-8.4327 cents
  6:  342.9054  .. 400.1085 cents      1323/1280, 57.2031 cents           1024/1029,-8.4327 cents
  7:  413.5778  .. 470.7809 cents      1323/1280, 57.2031 cents           4000/3969, 13.4693 cents
  8:  462.3482  .. 541.4533 cents      8575/8192, 79.1051 cents           1024/1029,-8.4327 cents
  9:  533.0206  .. 590.2237 cents      1323/1280, 57.2031 cents           1024/1029,-8.4327 cents
 10:  609.7763  .. 666.9794 cents      1323/1280, 57.2031 cents           2048/2025, 19.5526 cents
 11:  658.5467  .. 737.6518 cents      8575/8192, 79.1051 cents           1024/1029,-8.4327 cents
 12:  729.2191  .. 786.4222 cents      1323/1280, 57.2031 cents           1024/1029,-8.4327 cents
 13:  799.8915  .. 857.0946 cents      1323/1280, 57.2031 cents           4000/3969, 13.4693 cents
 14:  848.6619  .. 920.0555 cents      2401/2304, 71.3936 cents           1024/1029,-8.4327 cents
 15:  911.6228  .. 968.8259 cents      1323/1280, 57.2031 cents           1024/1029,-8.4327 cents
 16:  960.3932  .. 1053.2931 cents     21609/20480, 92.8999 cents         1024/1029,-8.4327 cents
 17:  1031.0656 .. 1102.0635 cents     83349/80000, 70.9979 cents         64000/64827,-22.2275 cents
 18:  1115.5328 .. 1172.7359 cents     1323/1280, 57.2031 cents           4000/3969, 13.4693 cents
SHOW DATA
Number of notes                     : 19
-- Interval properties --
Smallest interval                   : 64/63, 27.2641 cents, class 1
Average step (divided formal octave): 63.1579 cents
Largest one step interval           : 21/20, 84.4672 cents
Average / Smallest step             : 2.316523
Largest / Average step              : 1.337397
Largest / Smallest step             : 3.098111
Median interval of one step         : 28/27, 62.9609 cents, amount: 3
Least squares average step          : 63.34859 cents, oct.:  1203.62317 cents
Scale is not proper
Step pattern alph. order: ABCDCBCDAEADCBACBFA
Step pattern size order : FECDCECDFBFDCEFCEAF
Scale is a Constant Structure, by a margin of 0.72120 cents
Scale diversity                     : 1.506121
Lumma stability                     : 0.106632
Lumma impropriety factor            : 0.107318
Number of different interval sizes  : 110 = 6.11111 / class
Number of one step interval sizes   : 6
Highest interval variety            : 8
Mean interval variety               : 6.11111 = 55/9
Median interval variety             : 5
Lowest interval variety             : 5
Smallest interval difference        : 2401/2400, 0.7212 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 11
Most common triad is 0.0 498.045 701.955 cents, amount: 5
Number of recognisable fifths       : 12, average 701.3124 cents
Scale contains a complete diamond   : 3 5 15
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   : 13 = 68.4211%
Scale is differentially coherent in interval class 1
Scale is n-1 differentially coherent in interval classes 3 and 4 combined
-- Rational properties --
Prime limit                         : 7
Odd number limit                    : 441 (O: 441 U: 441)
Highest odd numerator or denominator: 35
Scale harmonicity                   : 0.019217
Average absolute harmonicity        : 0.144294
Specific harmonicity                : 0.114859
Fundamental                         : 1/10080, -13.2992 octaves, 0.0260 Hz.
Guide tone                          : 2520,  11.2992 octaves, 659296.425 Hz.
Exponens Consonantiae               : 2.540160E+07, 24.59842 octaves
Euler's gradus suavitatis           : 37
Sum of Mann's harmonic distance     : 185.5, average 9.76316
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 16.31208, average 0.85853
Sum of Tenney's harmonic distance   : 32.26042, average 1.69792
Vogel's harmonic complexity         : 24.63158
Wille's k value                     : 5512
Wilson's harmonic complexity        : 36
Rectangular lattice diameter        : 8
Triangular lattice diameter         : 4
Lattice compactness                 : 627.28047, average 3.30148
Lattice compactness (without 2's)   : 374.80034, average 1.97263
Number of different primes          : 4
Prime exponents' range, average, count, tones@limit:
  2:  -5 .. 3        -0.36842   31    1
  3:  -2 .. 2         0.21053   16    3
  5:  -1 .. 1         0.05263   11    6
  7:  -1 .. 1         0.15789   9     9
Average exponent except 2's         : 8 / 19 = 0.42105
Average absolute exponent except 2's: 36 / 19 = 1.89474
Scale is JI-epimorphic with val: <19 30 44 53| = patent
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: 13.7300 c. M: 28.8238 c. 
 20:  1 2 0 1 1 1 1 1 2 0 2 1 1 1 1 1 1 1 1   N   D3   SD: 18.9919 c. M: 26.8709 c. 
 22:  2 1 1 1 1 1 1 1 2 0 2 1 1 1 2 1 1 1 1   N   D3   SD: 13.3132 c. M:-29.9217 c. 
 25:  2 1 1 2 1 1 1 1 2 1 2 1 1 1 2 1 2 0 2   N   D3   SD: 12.5459 c. M:-21.1291 c. 
 26:  2 1 1 2 1 1 1 2 2 0 2 2 1 1 2 1 2 0 2   N   D3   SD: 13.6207 c. M: 19.6995 c. 
 27:  2 1 2 1 1 2 1 1 2 1 2 1 1 2 2 1 1 1 2   N   D3   SD: 10.8132 c. M: 21.8063 c. 
 28:  2 2 1 1 1 2 1 2 2 0 2 2 1 2 2 1 1 1 2   N        SD: 12.2989 c. M:-17.4878 c. 
 30:  2 2 1 1 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2   N        SD: 14.2221 c. M: 26.8709 c. 
 31:  2 2 1 2 1 2 1 2 2 1 2 2 1 2 2 1 2 1 2   P   D3   SD: 5.9536 c. M: 11.1447 c. 
 41:  3 2 2 2 2 2 2 2 3 1 3 2 2 2 3 2 2 1 3   N        SD: 4.5388 c. M: 8.7982 c. 
 46:  3 3 2 2 2 3 2 2 3 2 3 2 2 3 3 2 3 1 3   P        SD: 5.4725 c. M:-8.5991 c. 
 53:  4 3 2 3 2 3 2 3 4 1 4 3 2 3 4 2 3 1 4   N        SD: 3.7483 c. M:-6.1671 c. 
 72:  5 4 3 4 3 4 3 4 5 2 5 4 3 4 5 3 4 2 5   N        SD: 2.3973 c. M: 5.1396 c. 
 94:  7 5 4 5 4 5 4 5 7 2 7 5 4 5 7 4 5 2 7   N        SD: 3.0126 c. M:-4.8945 c. 
 99:  7 6 4 5 4 6 4 5 7 3 7 5 4 6 7 4 6 2 7   N        SD: 1.2752 c. M:-2.6404 c. 
 130: 9 8 5 7 5 8 5 7 9 4 9 7 5 8 9 5 8 3 9   N        SD: 1.2555 c. M: 2.2117 c. 
 140: 10 8 6 7 6 8 6 7 10 4 10 7 6 8 10 6 8 3 10   N        SD: 1.2553 c. M:-2.4037 c. 
 171: 12 10 7 9 7 10 7 9 12 5 12 9 7 10 12 7 10 4 12   N        SD: 0.3031 c. M: 0.7537 c. 
 270: 19 16 11 14 11 16 11 14 19 8 19 14 11 16 19 11 16 6 19   N        SD: 0.3197 c. M:-0.6202 c. 
 441: 31 26 18 23 18 26 18 23 31 13 31 23 18 26 31 18 26 10 31   N        SD: 0.1494 c. M: 0.2901 c. 
 612: 43 36 25 32 25 36 25 32 43 18 43 32 25 36 43 25 36 14 43   N        SD: 0.1327 c. M: 0.2377 c. 
 935: 66 55 38 49 38 55 38 49 66 27 66 49 38 55 66 38 55 21 66   N        SD: 0.1258 c. M:-0.2387 c. 
 1106: 78 65 45 58 45 65 45 58 78 32 78 58 45 65 78 45 65 25 78   N        SD: 0.0853 c. M:-0.1621 c. 
 1277: 90 75 52 67 52 75 52 67 90 37 90 67 52 75 90 52 75 29 90   N        SD: 0.0757 c. M:-0.1060 c. 
 1407: 99 83 57 74 57 83 57 74 99 41 99 74 57 83 99 57 83 32 99   N        SD: 0.0648 c. M: 0.1161 c. 
 1547: 109 91 63 81 63 91 63 81 109 45 109 81 63 91 109 63 91 35 109   N        SD: 0.0602 c. M:-0.1154 c. 
 1578: 111 93 64 83 64 93 64 83 111 46 111 83 64 93 111 64 93 36 111   N        SD: 0.0595 c. M: 0.1077 c. 
 1718: 121 101 70 90 70 101 70 90 121 50 121 90 70 101 121 70 101 39 121   N        SD: 0.0542 c. M:-0.0987 c. 
 1848: 130 109 75 97 75 109 75 97 130 54 130 97 75 109 130 75 109 42 130   N        SD: 0.0404 c. M: 0.0638 c. 
 2019: 142 119 82 106 82 119 82 106 142 59 142 106 82 119 142 82 119 46 142   N        SD: 0.0372 c. M: 0.0690 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: 5.2944 cents
 7 .. 14  match: 7  H SD: 7.2857 cents
 8 .. 16  match: 8  H SD: 5.1441 cents
 9 .. 18  match: 9  H SD: 5.5147 cents
 10 .. 20  match: 10  H SD: 4.0711 cents
 11 .. 22  match: 11  H SD: 6.6068 cents
 12 .. 24  match: 12  H SD: 3.6690 cents
 13 .. 26  match: 13  H SD: 6.5660 cents
 14 .. 28  match: 13    SD: 5.5374 cents
 15 .. 30  match: 14    SD: 3.9456 cents
 16 .. 32  match: 15  S SD: 4.1990 cents
 17 .. 34  match: 14  S SD: 4.6013 cents
 18 .. 36  match: 15  S SD: 3.6488 cents
 19 .. 38  match: 14    SD: 4.4049 cents
 20 .. 40  match: 17    SD: 2.9824 cents
 21 .. 42  match: 18    SD: 3.4063 cents
 22 .. 44  match: 16    SD: 3.4812 cents
 23 .. 46  match: 19    SD: 3.3031 cents
 24 .. 48  match: 18    SD: 2.2448 cents
 26 .. 52  match: 18    SD: 3.7539 cents
 27 .. 54  match: 16    SD: 3.5169 cents
 28 .. 56  match: 18    SD: 3.3455 cents
 29 .. 58  match: 18    SD: 3.2318 cents
 30 .. 60  match: 19    SD: 2.5935 cents
 31 .. 62  match: 19    SD: 2.5573 cents
 32 .. 64  match: 19    SD: 2.2028 cents
 35 .. 70  match: 19    SD: 2.1477 cents
 39 .. 78  match: 19    SD: 2.0549 cents
 40 .. 80  match: 19    SD: 1.4194 cents
 54 .. 108  match: 19    SD: 1.4148 cents
 55 .. 110  match: 19    SD: 1.3077 cents
 56 .. 112  match: 19    SD: 1.1426 cents
 60 .. 120  match: 19    SD: 1.0788 cents
 65 .. 130  match: 19    SD: 1.0015 cents
 72 .. 144  match: 19    SD: 0.9122 cents
 80 .. 160  match: 19    SD: 0.8573 cents
 84 .. 168  match: 19    SD: 0.8021 cents
 95 .. 190  match: 19    SD: 0.6418 cents
 96 .. 192  match: 19    SD: 0.5956 cents
 119 .. 238  match: 19    SD: 0.5696 cents
 120 .. 240  match: 19    SD: 0.4078 cents
 160 .. 320  match: 19    SD: 0.3340 cents
 180 .. 360  match: 19    SD: 0.3234 cents
 192 .. 384  match: 19    SD: 0.3226 cents
 200 .. 400  match: 19    SD: 0.2472 cents
 240 .. 480  match: 19    SD: 0.2344 cents
 264 .. 528  match: 19    SD: 0.2304 cents
 280 .. 560  match: 19    SD: 0.1921 cents
 320 .. 640  match: 19    SD: 0.1774 cents
 360 .. 720  match: 19    SD: 0.0902 cents
 480 .. 960  match: 19    SD: 0.0660 cents