Scala analysis: 19highschool1

First 19-note Highschool scale

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:         27/25            133.237575 large limma, BP small semitone, Zarlino semitone
  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:         36/25            631.282574 classic diminished fifth
 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:         27/14           1137.039096 septimal major seventh
 19:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         28/27             62.9609 Archytas' 1/3-tone
  1:         21/20             84.4672 minor semitone
  2:         36/35             48.7704 septimal diesis, 1/4-tone
  3:         25/24             70.6724 classic chromatic semitone, minor chroma
  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:         36/35             48.7704 septimal diesis, 1/4-tone
 11:         25/24             70.6724 classic chromatic semitone, minor chroma
 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:         36/35             48.7704 septimal diesis, 1/4-tone
 19:         28/27             62.9609 Archytas' 1/3-tone
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   7 36/35               48.770 cents   septimal diesis, 1/4-tone
  1:   4 28/27               62.961 cents   Archytas' 1/3-tone
  1:   5 25/24               70.672 cents   classic chromatic semitone, minor chroma
  1:   3 21/20               84.467 cents   minor semitone
  2:   4 16/15               111.731 cents  minor diatonic semitone
  2:   7 15/14               119.443 cents  major diatonic semitone
  2:   3 27/25               133.238 cents  large limma, BP small semitone, Zarlino semitone
  2:   2 175/162             133.633 cents  
  2:   2 49/45               147.428 cents  BP minor semitone
  2:   1 35/32               155.140 cents  septimal neutral second
  3:   2 54/49               168.213 cents  Zalzal's mujannab
  3:   8 10/9                182.404 cents  minor whole tone
  3:   4 28/25               196.198 cents  middle second
  3:   5 9/8                 203.910 cents  major whole tone
  4:   5 8/7                 231.174 cents  septimal whole tone
  4:   2 144/125             244.969 cents  classic diminished third
  4:   2 81/70               252.680 cents  Al-Hwarizmi's lute middle finger
  4:   2 125/108             253.076 cents  semi-augmented whole tone
  4:   7 7/6                 266.871 cents  septimal minor third
  4:   1 75/64               274.582 cents  classic augmented second
  5:   1 32/27               294.135 cents  Pythagorean minor third
  5:   3 25/21               301.847 cents  BP second, quasi-equal minor third
  5:  10 6/5                 315.641 cents  minor third
  5:   2 135/112             323.353 cents  septimal wide minor third
  5:   2 98/81               329.832 cents  
  5:   1 175/144             337.543 cents  
  6:   1 60/49               350.617 cents  smaller approximation to neutral third
  6:   2 216/175             364.412 cents  
  6:   1 100/81              364.807 cents  grave major third
  6:   1 243/196             372.123 cents  
  6:   5 56/45               378.602 cents  septimal narrow major third
  6:   8 5/4                 386.314 cents  major third
  6:   1 63/50               400.108 cents  quasi-equal major third
  7:   1 80/63               413.578 cents  wide major third
  7:   3 32/25               427.373 cents  classic diminished fourth
  7:   6 9/7                 435.084 cents  septimal major third, BP third
  7:   1 162/125             448.879 cents  
  7:   5 35/27               449.275 cents  septimal semi-diminished fourth, 9/4-tone
  7:   1 125/96              456.986 cents  classic augmented third
  7:   2 21/16               470.781 cents  narrow fourth
  8:  12 4/3                 498.045 cents  perfect fourth
  8:   2 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
  9:   4 48/35               546.815 cents  septimal semi-augmented fourth
  9:   1 135/98              554.527 cents  
  9:   2 112/81              561.006 cents  
  9:   1 243/175             568.322 cents  
  9:   4 25/18               568.717 cents  classic augmented fourth
  9:   5 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  9:   2 45/32               590.224 cents  diatonic tritone
 10:   2 64/45               609.776 cents  2nd tritone
 10:   5 10/7                617.488 cents  Euler's tritone
 10:   4 36/25               631.283 cents  classic diminished fifth
 10:   1 350/243             631.678 cents  
 10:   2 81/56               638.994 cents  
 10:   1 196/135             645.473 cents  
 10:   4 35/24               653.185 cents  septimal semi-diminished fifth
 11:   1 72/49               666.258 cents  Arabic lute grave fifth
 11:   4 40/27               680.449 cents  grave fifth
 11:   2 112/75              694.243 cents  marvelous fifth
 11:  12 3/2                 701.955 cents  perfect fifth
 12:   2 32/21               729.219 cents  wide fifth
 12:   1 192/125             743.014 cents  classic diminished sixth
 12:   5 54/35               750.725 cents  septimal semi-augmented fifth
 12:   1 125/81              751.121 cents  
 12:   6 14/9                764.916 cents  septimal minor sixth
 12:   3 25/16               772.627 cents  classic augmented fifth
 12:   1 63/40               786.422 cents  narrow minor sixth
 13:   1 100/63              799.892 cents  quasi-equal minor sixth
 13:   8 8/5                 813.686 cents  minor sixth
 13:   5 45/28               821.398 cents  septimale wide minor sixth
 13:   1 392/243             827.877 cents  
 13:   1 81/50               835.193 cents  acute minor sixth
 13:   2 175/108             835.588 cents  
 13:   1 49/30               849.383 cents  larger approximation to neutral sixth
 14:   1 288/175             862.457 cents  
 14:   2 81/49               870.168 cents  two (septimal major third, BP third)
 14:   2 224/135             876.647 cents  narrow septimal major sixth
 14:  10 5/3                 884.359 cents  major sixth, BP sixth
 14:   3 42/25               898.153 cents  quasi-equal major sixth
 14:   1 27/16               905.865 cents  Pythagorean major sixth
 15:   1 128/75              925.418 cents  diminished seventh
 15:   7 12/7                933.129 cents  septimal major sixth
 15:   2 216/125             946.924 cents  semi-augmented sixth
 15:   2 140/81              947.320 cents  
 15:   2 125/72              955.031 cents  classic augmented sixth
 15:   5 7/4                 968.826 cents  harmonic seventh
 16:   5 16/9                996.090 cents  Pythagorean minor seventh
 16:   4 25/14               1003.802 cents middle minor seventh
 16:   8 9/5                 1017.596 cents just minor seventh, BP seventh
 16:   2 49/27               1031.787 cents 
 17:   1 64/35               1044.860 cents septimal neutral seventh
 17:   2 90/49               1052.572 cents 
 17:   2 324/175             1066.367 cents 
 17:   3 50/27               1066.762 cents grave major seventh
 17:   7 28/15               1080.557 cents grave major seventh
 17:   4 15/8                1088.269 cents classic major seventh
 18:   3 40/21               1115.533 cents acute major seventh
 18:   5 48/25               1129.328 cents classic diminished octave
 18:   4 27/14               1137.039 cents septimal major seventh
 18:   7 35/18               1151.230 cents septimal semi-diminished octave
Highest number of different intervals for one interval class: 7
Average number of different intervals per interval class: 5.66667 = 17/3
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   : 84.5 133.2 203.9 266.9 315.6 386.3 435.1 498.0 582.5 631.3 702.0 764.9 813.7 884.4 968.8 1017.6 1088.3 1137.0 1200.0
 84.5  : 48.8 119.4 182.4 231.2 301.8 350.6 413.6 498.0 546.8 617.5 680.4 729.2 799.9 884.4 933.1 1003.8 1052.6 1115.5 1200.0
 133.2 : 70.7 133.6 182.4 253.1 301.8 364.8 449.3 498.0 568.7 631.7 680.4 751.1 835.6 884.4 955.0 1003.8 1066.8 1151.2 1200.0
 203.9 : 63.0 111.7 182.4 231.2 294.1 378.6 427.4 498.0 561.0 609.8 680.4 764.9 813.7 884.4 933.1 996.1  1080.6 1129.3 1200.0
 266.9 : 48.8 119.4 168.2 231.2 315.6 364.4 435.1 498.0 546.8 617.5 702.0 750.7 821.4 870.2 933.1 1017.6 1066.4 1137.0 1200.0
 315.6 : 70.7 119.4 182.4 266.9 315.6 386.3 449.3 498.0 568.7 653.2 702.0 772.6 821.4 884.4 968.8 1017.6 1088.3 1151.2 1200.0
 386.3 : 48.8 111.7 196.2 245.0 315.6 378.6 427.4 498.0 582.5 631.3 702.0 750.7 813.7 898.2 946.9 1017.6 1080.6 1129.3 1200.0
 435.1 : 63.0 147.4 196.2 266.9 329.8 378.6 449.3 533.7 582.5 653.2 702.0 764.9 849.4 898.2 968.8 1031.8 1080.6 1151.2 1200.0
 498.0 : 84.5 133.2 203.9 266.9 315.6 386.3 470.8 519.6 590.2 639.0 702.0 786.4 835.2 905.9 968.8 1017.6 1088.3 1137.0 1200.0
 582.5 : 48.8 119.4 182.4 231.2 301.8 386.3 435.1 505.8 554.5 617.5 702.0 750.7 821.4 884.4 933.1 1003.8 1052.6 1115.5 1200.0
 631.3 : 70.7 133.6 182.4 253.1 337.5 386.3 457.0 505.8 568.7 653.2 702.0 772.6 835.6 884.4 955.0 1003.8 1066.8 1151.2 1200.0
 702.0 : 63.0 111.7 182.4 266.9 315.6 386.3 435.1 498.0 582.5 631.3 702.0 764.9 813.7 884.4 933.1 996.1  1080.6 1129.3 1200.0
 764.9 : 48.8 119.4 203.9 252.7 323.4 372.1 435.1 519.6 568.3 639.0 702.0 750.7 821.4 870.2 933.1 1017.6 1066.4 1137.0 1200.0
 813.7 : 70.7 155.1 203.9 274.6 323.4 386.3 470.8 519.6 590.2 653.2 702.0 772.6 821.4 884.4 968.8 1017.6 1088.3 1151.2 1200.0
 884.4 : 84.5 133.2 203.9 252.7 315.6 400.1 448.9 519.6 582.5 631.3 702.0 750.7 813.7 898.2 946.9 1017.6 1080.6 1129.3 1200.0
 968.8 : 48.8 119.4 168.2 231.2 315.6 364.4 435.1 498.0 546.8 617.5 666.3 729.2 813.7 862.5 933.1 996.1  1044.9 1115.5 1200.0
 1017.6: 70.7 119.4 182.4 266.9 315.6 386.3 449.3 498.0 568.7 617.5 680.4 764.9 813.7 884.4 947.3 996.1  1066.8 1151.2 1200.0
 1088.3: 48.8 111.7 196.2 245.0 315.6 378.6 427.4 498.0 546.8 609.8 694.2 743.0 813.7 876.6 925.4 996.1  1080.6 1129.3 1200.0
 1137.0: 63.0 147.4 196.2 266.9 329.8 378.6 449.3 498.0 561.0 645.5 694.2 764.9 827.9 876.6 947.3 1031.8 1080.6 1151.2 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  48.7704   .. 84.4672 cents       49/48, 35.6968 cents               36/35, 48.7704 cents
  2:  111.7313  .. 155.1396 cents      525/512, 43.4083 cents             64/63, 27.2641 cents
  3:  168.2132  .. 203.9100 cents      49/48, 35.6968 cents               1728/1715, 13.0736 cents
  4:  231.1741  .. 274.5824 cents      525/512, 43.4083 cents             64/63, 27.2641 cents
  5:  294.1350  .. 337.5433 cents      525/512, 43.4083 cents             2048/2025, 19.5526 cents
  6:  350.6169  .. 400.1085 cents      1029/1000, 49.4916 cents           1728/1715, 13.0736 cents
  7:  413.5778  .. 470.7809 cents      1323/1280, 57.2031 cents           4000/3969, 13.4693 cents
  8:  498.0450  .. 533.7418 cents      49/48, 35.6968 cents               64/63, 27.2641 cents
  9:  546.8154  .. 590.2237 cents      525/512, 43.4083 cents             1728/1715, 13.0736 cents
 10:  609.7763  .. 653.1846 cents      525/512, 43.4083 cents             2048/2025, 19.5526 cents
 11:  666.2582  .. 701.9550 cents      49/48, 35.6968 cents               1728/1715, 13.0736 cents
 12:  729.2191  .. 786.4222 cents      1323/1280, 57.2031 cents           64/63, 27.2641 cents
 13:  799.8915  .. 849.3831 cents      1029/1000, 49.4916 cents           4000/3969, 13.4693 cents
 14:  862.4567  .. 905.8650 cents      525/512, 43.4083 cents             1728/1715, 13.0736 cents
 15:  925.4176  .. 968.8259 cents      525/512, 43.4083 cents             2048/2025, 19.5526 cents
 16:  996.0900  .. 1031.7868 cents     49/48, 35.6968 cents               64/63, 27.2641 cents
 17:  1044.8604 .. 1088.2687 cents     525/512, 43.4083 cents             1728/1715, 13.0736 cents
 18:  1115.5328 .. 1151.2296 cents     49/48, 35.6968 cents               64/63, 27.2641 cents
SHOW DATA
Number of notes                     : 19
-- Interval properties --
Smallest interval                   : 36/35, 48.7704 cents, class 1
Average step (divided formal octave): 63.1579 cents
Largest one step interval           : 21/20, 84.4672 cents
Average / Smallest step             : 1.295005
Largest / Average step              : 1.337397
Largest / Smallest step             : 1.731936
Median interval of one step         : 28/27, 62.9609 cents, amount: 4
Most common interval of one step    : 36/35, 48.7704 cents, amount: 7
Least squares average step          : 63.54343 cents, oct.:  1207.32515 cents
Scale is strictly proper
Step pattern alph. order: ABCDBCBDABCDBCABCBD
Step pattern size order : DACBACABDACBACDACAB
Scale is a Constant Structure, by a margin of 13.07357 cents
Scale diversity                     : 1.443401
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.354303
Number of different interval sizes  : 102 = 5.66667 / class
Number of one step interval sizes   : 4
Highest interval variety            : 7
Mean interval variety               : 5.66667 = 17/3
Median interval variety             : 4
Lowest interval variety             : 4
Smallest interval difference        : 4375/4374, 0.3958 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 12
Number of recognisable fifths       : 14, average 700.8534 cents
Best minor thirds form a closed circle
Scale contains a complete diamond   : 1 3 5
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   : 9 = 47.3684%
Scale is differentially coherent in interval class 1
Scale is differentially coherent in interval classes 3 and 4 combined
-- Rational properties --
Prime limit                         : 7
Odd number limit                    : 243 (O: 243 U: 243)
Highest odd numerator or denominator: 27
Scale harmonicity                   : 0.016919
Average absolute harmonicity        : 0.144410
Specific harmonicity                : 0.115944
Fundamental                         : 1/12600, -13.6211 octaves, 0.0208 Hz.
Guide tone                          : 7560,  12.8842 octaves, 1977889.274 Hz.
Exponens Consonantiae               : 9.525600E+07, 26.50531 octaves
Euler's gradus suavitatis           : 41
Sum of Mann's harmonic distance     : 190.0, average 10.00000
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 16.86136, average 0.88744
Sum of Tenney's harmonic distance   : 32.80287, average 1.72647
Vogel's harmonic complexity         : 27.31579
Wille's k value                     : 11812
Wilson's harmonic complexity        : 44
Rectangular lattice diameter        : 10
Triangular lattice diameter         : 5
Lattice compactness                 : 602.09037, average 3.16890
Lattice compactness (without 2's)   : 423.99012, average 2.23153
Number of different primes          : 4
Prime exponents' range, average, count, tones@limit:
  2:  -3 .. 3        -0.26316   25    1
  3:  -2 .. 3         0.68421   23    3
  5:  -2 .. 1        -0.31579   12    8
  7:  -1 .. 1         0.15789   7     7
Average exponent except 2's         : 10 / 19 = 0.52632
Average absolute exponent except 2's: 42 / 19 = 2.21053
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: 10.6285 c. M: 21.4575 c. 
 25:  2 1 1 2 1 1 1 1 2 1 2 1 1 1 2 1 2 1 1   N   D3   SD: 12.7399 c. M:-21.1291 c. 
 27:  2 1 2 1 1 2 1 1 2 1 2 1 1 2 2 1 2 1 1   N   D3   SD: 10.7218 c. M:-22.8424 c. 
 28:  2 1 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1   N   D3   SD: 12.2715 c. M:-20.1038 c. 
 31:  2 1 2 2 1 2 1 2 2 1 2 2 1 2 2 1 2 1 2   P M ME S SD: 8.1571 c. M: 17.1085 c. 
 33:  2 2 2 1 2 2 1 2 2 1 2 2 1 2 3 1 2 1 2   N   D3   SD: 10.2053 c. M:-14.2718 c. 
 34:  2 2 2 2 1 2 1 2 3 1 2 2 1 2 2 2 2 1 2   N   D3   SD: 9.0965 c. M:-17.4878 c. 
 38:  3 1 2 2 2 2 2 2 2 2 2 2 2 2 3 1 2 2 2   P   T3   SD: 8.7049 c. M: 14.5845 c. 
 41:  3 2 2 2 2 2 2 2 3 2 2 2 2 2 3 2 2 2 2   P   D3   SD: 5.8277 c. M:-13.1039 c. 
 46:  3 2 3 2 2 3 2 2 3 2 3 2 2 3 3 2 3 2 2   P   D3   SD: 5.6469 c. M:-10.7870 c. 
 52:  4 2 3 3 2 3 2 3 3 2 3 3 2 3 4 2 3 2 3   P        SD: 6.2903 c. M:-10.0522 c. 
 53:  4 2 3 3 2 3 2 3 4 2 3 3 2 3 4 2 3 2 3   P        SD: 3.3960 c. M:-6.1671 c. 
 72:  5 3 4 4 3 4 3 4 5 3 4 4 3 4 5 3 4 3 4  SP        SD: 2.2799 c. M: 4.9354 c. 
 99:  7 4 6 5 4 6 4 5 7 4 6 5 4 6 7 4 6 4 5  SP        SD: 1.2742 c. M:-2.6404 c. 
 152: 11 6 9 8 6 9 6 8 11 6 9 8 6 9 11 6 9 6 8  SP        SD: 1.1231 c. M:-2.3749 c. 
 171: 12 7 10 9 7 10 7 9 12 7 10 9 7 10 12 7 10 7 9  SP        SD: 0.2559 c. M: 0.5494 c. 
 441: 31 18 26 23 18 26 18 23 31 18 26 23 18 26 31 18 26 18 23  SP        SD: 0.1655 c. M:-0.3759 c. 
 612: 43 25 36 32 25 36 25 32 43 25 36 32 25 36 43 25 36 25 32  SP        SD: 0.1242 c. M:-0.2158 c. 
 935: 66 38 55 49 38 55 38 49 66 38 55 49 38 55 66 38 55 38 49  SP        SD: 0.1218 c. M:-0.2387 c. 
 1106: 78 45 65 58 45 65 45 58 78 45 65 58 45 65 78 45 65 45 58  SP        SD: 0.0963 c. M:-0.2163 c. 
 1277: 90 52 75 67 52 75 52 67 90 52 75 67 52 75 90 52 75 52 67  SP        SD: 0.0912 c. M:-0.2002 c. 
 1376: 97 56 81 72 56 81 56 72 97 56 81 72 56 81 97 56 81 56 72  SP        SD: 0.1008 c. M:-0.1927 c. 
 1407: 99 57 83 74 57 83 57 74 99 57 83 74 57 83 99 57 83 57 74  SP        SD: 0.0899 c. M: 0.1885 c. 
 1547: 109 63 91 81 63 91 63 81 109 63 91 81 63 91 109 63 91 63 81  SP        SD: 0.0822 c. M:-0.1819 c. 
 1578: 111 64 93 83 64 93 64 83 111 64 93 83 64 93 111 64 93 64 83  SP        SD: 0.0809 c. M: 0.1577 c. 
 1677: 118 68 99 88 68 99 68 88 118 68 99 88 68 99 118 68 99 68 88  SP        SD: 0.0712 c. M: 0.1556 c. 
 1749: 123 71 103 92 71 103 71 92 123 71 103 92 71 103 123 71 103 71 92  SP        SD: 0.0817 c. M: 0.1609 c. 
 1848: 130 75 109 97 75 109 75 97 130 75 109 97 75 109 130 75 109 75 97  SP        SD: 0.0520 c. M: 0.1207 c. 
 2019: 142 82 119 106 82 119 82 106 142 82 119 106 82 119 142 82 119 82 106  SP        SD: 0.0445 c. M: 0.1024 c. 
 2190: 154 89 129 115 89 129 89 115 154 89 129 115 89 129 154 89 129 89 115  SP        SD: 0.0473 c. M: 0.0869 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: 7.5475 cents
 8 .. 16  match: 8  H SD: 5.1441 cents
 9 .. 18  match: 9  H SD: 5.1230 cents
 10 .. 20  match: 10  H SD: 5.5464 cents
 11 .. 22  match: 11  H SD: 6.5475 cents
 12 .. 24  match: 12  H SD: 3.6333 cents
 13 .. 26  match: 13  H SD: 5.6737 cents
 14 .. 28  match: 13    SD: 4.7896 cents
 15 .. 30  match: 15  H SD: 3.7318 cents
 16 .. 32  match: 16  H SD: 3.9150 cents
 17 .. 34  match: 15  S SD: 4.3598 cents
 18 .. 36  match: 16  S SD: 3.3421 cents
 19 .. 38  match: 15    SD: 4.8911 cents
 20 .. 40  match: 18    SD: 3.4402 cents
 21 .. 42  match: 18    SD: 3.9219 cents
 22 .. 44  match: 17    SD: 3.7115 cents
 23 .. 46  match: 19    SD: 3.3570 cents
 24 .. 48  match: 19    SD: 2.3974 cents
 25 .. 50  match: 19    SD: 2.2981 cents
 26 .. 52  match: 18    SD: 3.5109 cents
 27 .. 54  match: 18    SD: 3.0047 cents
 30 .. 60  match: 18    SD: 2.5343 cents
 31 .. 62  match: 18    SD: 2.7455 cents
 32 .. 64  match: 19    SD: 2.4609 cents
 35 .. 70  match: 19    SD: 2.2727 cents
 36 .. 72  match: 19    SD: 1.9774 cents
 39 .. 78  match: 19    SD: 1.8841 cents
 40 .. 80  match: 19    SD: 1.4987 cents
 48 .. 96  match: 19    SD: 1.3625 cents
 55 .. 110  match: 19    SD: 1.3421 cents
 56 .. 112  match: 19    SD: 1.3333 cents
 59 .. 118  match: 19    SD: 1.3323 cents
 60 .. 120  match: 19    SD: 1.0288 cents
 72 .. 144  match: 19    SD: 0.9435 cents
 80 .. 160  match: 19    SD: 0.7706 cents
 95 .. 190  match: 19    SD: 0.7230 cents
 96 .. 192  match: 19    SD: 0.6704 cents
 112 .. 224  match: 19    SD: 0.6223 cents
 120 .. 240  match: 19    SD: 0.4165 cents
 160 .. 320  match: 19    SD: 0.3599 cents
 175 .. 350  match: 19    SD: 0.3513 cents
 200 .. 400  match: 19    SD: 0.2154 cents
 240 .. 480  match: 19    SD: 0.1987 cents
 300 .. 600  match: 19    SD: 0.1952 cents
 336 .. 672  match: 19    SD: 0.1463 cents
 360 .. 720  match: 19    SD: 0.0966 cents
 480 .. 960  match: 19    SD: 0.0924 cents
 560 .. 1120  match: 19    SD: 0.0892 cents
 600 .. 1200  match: 19    SD: 0.0612 cents