Scala analysis: xen13-grady-19-1

19 tone scale 1

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        135/128            92.178716 major chroma, major limma
  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:        315/256           359.049622
  6:          5/4             386.313714 major third
  7:         21/16            470.780907 narrow fourth
  8:       2835/2048          562.959624
  9:         45/32            590.223716 diatonic tritone
 10:        189/128           674.690909
 11:          3/2             701.955001 perfect fifth
 12:        405/256           794.133717 wide augmented fifth
 13:        105/64            857.094621 septimal neutral sixth
 14:         27/16            905.865003 Pythagorean major sixth
 15:          7/4             968.825906 harmonic seventh
 16:        945/512          1061.004623
 17:         15/8            1088.268715 classic major seventh
 18:         63/32           1172.735908 octave - septimal comma
 19:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         64/63             27.2641 septimal comma, Archytas' comma
  1:        135/128            92.1787 major chroma, major limma
  2:         28/27             62.9609 Archytas' 1/3-tone
  3:         36/35             48.7704 septimal diesis, 1/4-tone
  4:         28/27             62.9609 Archytas' 1/3-tone
  5:        135/128            92.1787 major chroma, major limma
  6:         64/63             27.2641 septimal comma, Archytas' comma
  7:         21/20             84.4672 minor semitone
  8:        135/128            92.1787 major chroma, major limma
  9:         64/63             27.2641 septimal comma, Archytas' comma
 10:         21/20             84.4672 minor semitone
 11:         64/63             27.2641 septimal comma, Archytas' comma
 12:        135/128            92.1787 major chroma, major limma
 13:         28/27             62.9609 Archytas' 1/3-tone
 14:         36/35             48.7704 septimal diesis, 1/4-tone
 15:         28/27             62.9609 Archytas' 1/3-tone
 16:        135/128            92.1787 major chroma, major limma
 17:         64/63             27.2641 septimal comma, Archytas' comma
 18:         21/20             84.4672 minor semitone
 19:         64/63             27.2641 septimal comma, Archytas' comma
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   5 64/63               27.264 cents   septimal comma, Archytas' comma
  1:   2 36/35               48.770 cents   septimal diesis, 1/4-tone
  1:   4 28/27               62.961 cents   Archytas' 1/3-tone
  1:   3 21/20               84.467 cents   minor semitone
  1:   5 135/128             92.179 cents   major chroma, major limma
  2:   9 16/15               111.731 cents  minor diatonic semitone
  2:   5 15/14               119.443 cents  major diatonic semitone
  2:   4 35/32               155.140 cents  septimal neutral second
  2:   1 567/512             176.646 cents  
  3:   2 1024/945            138.995 cents  
  3:   2 448/405             174.692 cents  
  3:   4 10/9                182.404 cents  minor whole tone
  3:  11 9/8                 203.910 cents  major whole tone
  4:   9 8/7                 231.174 cents  septimal whole tone
  4:   8 7/6                 266.871 cents  septimal minor third
  4:   1 189/160             288.377 cents  
  4:   1 1215/1024           296.089 cents  wide augmented second
  5:   7 32/27               294.135 cents  Pythagorean minor third
  5:   6 6/5                 315.641 cents  minor third
  5:   3 135/112             323.353 cents  septimal wide minor third
  5:   3 315/256             359.050 cents  
  6:   4 128/105             342.905 cents  septimal neutral third
  6:   4 56/45               378.602 cents  septimal narrow major third
  6:   8 5/4                 386.314 cents  major third
  6:   3 81/64               407.820 cents  Pythagorean major third
  7:   3 512/405             405.866 cents  narrow diminished fourth
  7:   2 80/63               413.578 cents  wide major third
  7:   6 9/7                 435.084 cents  septimal major third, BP third
  7:   1 35/27               449.275 cents  septimal semi-diminished fourth, 9/4-tone
  7:   7 21/16               470.781 cents  narrow fourth
  8:  15 4/3                 498.045 cents  perfect fourth
  8:   2 27/20               519.551 cents  acute fourth
  8:   1 1215/896            527.263 cents  
  8:   1 2835/2048           562.960 cents  
  9:   3 256/189             525.309 cents  
  9:   3 48/35               546.815 cents  septimal semi-augmented fourth
  9:   2 112/81              561.006 cents  
  9:   4 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  9:   7 45/32               590.224 cents  diatonic tritone
 10:   7 64/45               609.776 cents  2nd tritone
 10:   4 10/7                617.488 cents  Euler's tritone
 10:   2 81/56               638.994 cents  
 10:   3 35/24               653.185 cents  septimal semi-diminished fifth
 10:   3 189/128             674.691 cents  
 11:   1 4096/2835           637.040 cents  
 11:   1 1792/1215           672.737 cents  
 11:   2 40/27               680.449 cents  grave fifth
 11:  15 3/2                 701.955 cents  perfect fifth
 12:   7 32/21               729.219 cents  wide fifth
 12:   1 54/35               750.725 cents  septimal semi-augmented fifth
 12:   6 14/9                764.916 cents  septimal minor sixth
 12:   2 63/40               786.422 cents  narrow minor sixth
 12:   3 405/256             794.134 cents  wide augmented fifth
 13:   3 128/81              792.180 cents  Pythagorean minor sixth
 13:   8 8/5                 813.686 cents  minor sixth
 13:   4 45/28               821.398 cents  septimale wide minor sixth
 13:   4 105/64              857.095 cents  septimal neutral sixth
 14:   3 512/315             840.950 cents  
 14:   3 224/135             876.647 cents  narrow septimal major sixth
 14:   6 5/3                 884.359 cents  major sixth, BP sixth
 14:   7 27/16               905.865 cents  Pythagorean major sixth
 15:   1 2048/1215           903.911 cents  narrow diminished seventh
 15:   1 320/189             911.623 cents  
 15:   8 12/7                933.129 cents  septimal major sixth
 15:   9 7/4                 968.826 cents  harmonic seventh
 16:  11 16/9                996.090 cents  Pythagorean minor seventh
 16:   4 9/5                 1017.596 cents just minor seventh, BP seventh
 16:   2 405/224             1025.308 cents 
 16:   2 945/512             1061.005 cents 
 17:   1 1024/567            1023.354 cents 
 17:   4 64/35               1044.860 cents septimal neutral seventh
 17:   5 28/15               1080.557 cents grave major seventh
 17:   9 15/8                1088.269 cents classic major seventh
 18:   5 256/135             1107.821 cents octave - major chroma
 18:   3 40/21               1115.533 cents acute major seventh
 18:   4 27/14               1137.039 cents septimal major seventh
 18:   2 35/18               1151.230 cents septimal semi-diminished octave
 18:   5 63/32               1172.736 cents octave - septimal comma
Highest number of different intervals for one interval class: 5
Average number of different intervals per interval class: 4.33333 = 13/3
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   : 92.2 155.1 203.9 266.9 359.0 386.3 470.8 563.0 590.2 674.7 702.0 794.1 857.1 905.9 968.8 1061.0 1088.3 1172.7 1200.0
 92.2  : 63.0 111.7 174.7 266.9 294.1 378.6 470.8 498.0 582.5 609.8 702.0 764.9 813.7 876.6 968.8 996.1  1080.6 1107.8 1200.0
 155.1 : 48.8 111.7 203.9 231.2 315.6 407.8 435.1 519.6 546.8 639.0 702.0 750.7 813.7 905.9 933.1 1017.6 1044.9 1137.0 1200.0
 203.9 : 63.0 155.1 182.4 266.9 359.0 386.3 470.8 498.0 590.2 653.2 702.0 764.9 857.1 884.4 968.8 996.1  1088.3 1151.2 1200.0
 266.9 : 92.2 119.4 203.9 296.1 323.4 407.8 435.1 527.3 590.2 639.0 702.0 794.1 821.4 905.9 933.1 1025.3 1088.3 1137.0 1200.0
 359.0 : 27.3 111.7 203.9 231.2 315.6 342.9 435.1 498.0 546.8 609.8 702.0 729.2 813.7 841.0 933.1 996.1  1044.9 1107.8 1200.0
 386.3 : 84.5 176.6 203.9 288.4 315.6 407.8 470.8 519.6 582.5 674.7 702.0 786.4 813.7 905.9 968.8 1017.6 1080.6 1172.7 1200.0
 470.8 : 92.2 119.4 203.9 231.2 323.4 386.3 435.1 498.0 590.2 617.5 702.0 729.2 821.4 884.4 933.1 996.1  1088.3 1115.5 1200.0
 563.0 : 27.3 111.7 139.0 231.2 294.1 342.9 405.9 498.0 525.3 609.8 637.0 729.2 792.2 841.0 903.9 996.1  1023.4 1107.8 1200.0
 590.2 : 84.5 111.7 203.9 266.9 315.6 378.6 470.8 498.0 582.5 609.8 702.0 764.9 813.7 876.6 968.8 996.1  1080.6 1172.7 1200.0
 674.7 : 27.3 119.4 182.4 231.2 294.1 386.3 413.6 498.0 525.3 617.5 680.4 729.2 792.2 884.4 911.6 996.1  1088.3 1115.5 1200.0
 702.0 : 92.2 155.1 203.9 266.9 359.0 386.3 470.8 498.0 590.2 653.2 702.0 764.9 857.1 884.4 968.8 1061.0 1088.3 1172.7 1200.0
 794.1 : 63.0 111.7 174.7 266.9 294.1 378.6 405.9 498.0 561.0 609.8 672.7 764.9 792.2 876.6 968.8 996.1  1080.6 1107.8 1200.0
 857.1 : 48.8 111.7 203.9 231.2 315.6 342.9 435.1 498.0 546.8 609.8 702.0 729.2 813.7 905.9 933.1 1017.6 1044.9 1137.0 1200.0
 905.9 : 63.0 155.1 182.4 266.9 294.1 386.3 449.3 498.0 561.0 653.2 680.4 764.9 857.1 884.4 968.8 996.1  1088.3 1151.2 1200.0
 968.8 : 92.2 119.4 203.9 231.2 323.4 386.3 435.1 498.0 590.2 617.5 702.0 794.1 821.4 905.9 933.1 1025.3 1088.3 1137.0 1200.0
 1061.0: 27.3 111.7 139.0 231.2 294.1 342.9 405.9 498.0 525.3 609.8 702.0 729.2 813.7 841.0 933.1 996.1  1044.9 1107.8 1200.0
 1088.3: 84.5 111.7 203.9 266.9 315.6 378.6 470.8 498.0 582.5 674.7 702.0 786.4 813.7 905.9 968.8 1017.6 1080.6 1172.7 1200.0
 1172.7: 27.3 119.4 182.4 231.2 294.1 386.3 413.6 498.0 590.2 617.5 702.0 729.2 821.4 884.4 933.1 996.1  1088.3 1115.5 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  27.2641   .. 92.1787 cents       8505/8192, 64.9146 cents           64/63, 27.2641 cents
  2:  111.7313  .. 176.6459 cents      8505/8192, 64.9146 cents           2048/2025, 19.5526 cents
  3:  138.9954  .. 203.9100 cents      8505/8192, 64.9146 cents           524288/535815,-37.6505 cents
  4:  231.1741  .. 296.0887 cents      8505/8192, 64.9146 cents           64/63, 27.2641 cents
  5:  294.1350  .. 359.0496 cents      8505/8192, 64.9146 cents           32768/32805,-1.9537 cents
  6:  342.9054  .. 407.8200 cents      8505/8192, 64.9146 cents           32768/33075,-16.1442 cents
  7:  405.8663  .. 470.7809 cents      8505/8192, 64.9146 cents           32768/32805,-1.9537 cents
  8:  498.0450  .. 562.9596 cents      8505/8192, 64.9146 cents           64/63, 27.2641 cents
  9:  525.3091  .. 590.2237 cents      8505/8192, 64.9146 cents           524288/535815,-37.6505 cents
 10:  609.7763  .. 674.6909 cents      8505/8192, 64.9146 cents           2048/2025, 19.5526 cents
 11:  637.0404  .. 701.9550 cents      8505/8192, 64.9146 cents           524288/535815,-37.6505 cents
 12:  729.2191  .. 794.1337 cents      8505/8192, 64.9146 cents           64/63, 27.2641 cents
 13:  792.1800  .. 857.0946 cents      8505/8192, 64.9146 cents           32768/32805,-1.9537 cents
 14:  840.9504  .. 905.8650 cents      8505/8192, 64.9146 cents           32768/33075,-16.1442 cents
 15:  903.9113  .. 968.8259 cents      8505/8192, 64.9146 cents           32768/32805,-1.9537 cents
 16:  996.0900  .. 1061.0046 cents     8505/8192, 64.9146 cents           64/63, 27.2641 cents
 17:  1023.3541 .. 1088.2687 cents     8505/8192, 64.9146 cents           524288/535815,-37.6505 cents
 18:  1107.8213 .. 1172.7359 cents     8505/8192, 64.9146 cents           2048/2025, 19.5526 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           : 135/128, 92.1787 cents
Average / Smallest step             : 2.316523
Largest / Average step              : 1.459496
Largest / Smallest step             : 3.380957
Median interval of one step         : 28/27, 62.9609 cents, amount: 4
Least squares average step          : 65.20105 cents, oct.:  1238.81996 cents
Scale is not proper
Step pattern alph. order: ABCBADEADEDABCBADED
Step pattern size order : ECBCEADEADAECBCEADA
Scale is a Constant Structure, by a margin of 1.95372 cents
Scale diversity                     : 1.392004
Lumma stability                     : 0.185202
Lumma impropriety factor            : 0.158921
Number of different interval sizes  : 78 = 4.33333 / class
Number of one step interval sizes   : 5
Highest interval variety            : 5
Mean interval variety               : 4.33333 = 13/3
Median interval variety             : 4
Lowest interval variety             : 4
Smallest interval difference        : 32805/32768, 1.9537 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 15
Most common triad is 0.0 498.045 701.955 cents, amount: 11
Number of recognisable fifths       : 15, average 701.9550 cents
Scale contains two identical disjunct "tetrachords" of 8 notes
Best minor thirds form a closed circle
Formal octave complements present   : 1 = 5.2632%
Scale is differentially coherent in interval classes 1 and 2 combined
Scale is differentially coherent in interval classes 2 and 3 combined
Scale is 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 7 and 8 combined
-- Rational properties --
Prime limit                         : 7
Odd number limit                    : 2835 (O: 2835 U: 2835)
Highest odd numerator or denominator: 2835
Scale harmonicity                   : 0.023799
Average absolute harmonicity        : 0.121005
Specific harmonicity                : 0.123384
Fundamental                         : 1/6144, -12.5850 octaves, 0.0426 Hz.
Guide tone                          : 5670,  12.4691 octaves, 1483416.955 Hz.
Exponens Consonantiae               : 3.483648E+07, 25.05410 octaves
Euler's gradus suavitatis           : 33
Sum of Mann's harmonic distance     : 4360.5, average 229.50000
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 30.70856, average 1.61624
Sum of Tenney's harmonic distance   : 58.88044, average 3.09897
Vogel's harmonic complexity         : 20.47368
Wille's k value                     : 4252
Wilson's harmonic complexity        : 27
Rectangular lattice diameter        : 7
Triangular lattice diameter         : 6
Lattice compactness                 : 844.05866, average 4.44241
Lattice compactness (without 2's)   : 398.42621, average 2.09698
Number of different primes          : 4
Prime exponents' range, average, count, tones@limit:
  2:  -11 .. 1       -4.73684   92    1
  3:  -1 .. 4         1.63158   33    3
  5:   0 .. 1         0.52632   10    5
  7:   0 .. 1         0.52632   10    10
Average exponent except 2's         : 51 / 19 = 2.68421
Average absolute exponent except 2's: 53 / 19 = 2.78947
Scale is weakly epimorphic with val: <19 30 42 55|
Scale is JI-epimorphic with val: <19 30 44 53| = patent
FIT/MODE
 19:  1 1 1 1 2 0 1 2 0 2 0 2 1 0 1 2 0 2 0   N   T3   SD: 20.2898 c. M: 29.0208 c. 
 20:  1 1 1 1 2 0 2 1 1 1 0 2 1 1 1 1 1 1 1   N   D3   SD: 23.3585 c. M: 41.9550 c. 
 21:  2 1 1 1 1 1 1 2 0 2 0 2 1 1 1 2 0 2 0   N   D3 S SD: 15.6198 c. M:-27.2641 c. 
 23:  2 1 1 1 2 0 2 2 0 2 0 2 1 1 1 2 1 1 1   N   T3   SD: 15.3997 c. M: 29.6955 c. 
 24:  2 1 1 1 2 1 1 2 1 1 1 2 1 1 1 2 1 1 1   P M ME S SD: 13.0076 c. M: 24.6909 c. 
 25:  2 1 1 2 1 1 2 2 0 2 1 2 1 1 1 2 1 1 1   N   D3   SD: 13.3726 c. M: 23.0496 c. 
 26:  2 1 1 2 2 0 2 2 1 2 0 2 2 1 1 2 1 1 1   N   T3   SD: 13.2368 c. M:-19.8285 c. 
 27:  2 1 2 1 2 1 2 2 0 2 1 2 1 1 2 2 0 2 1   N        SD: 13.0353 c. M: 21.8063 c. 
 28:  2 2 1 1 2 1 2 2 1 2 0 3 1 1 2 2 0 2 1   N        SD: 11.8058 c. M:-20.1520 c. 
 30:  2 2 1 2 2 1 2 2 1 2 1 2 1 2 1 3 0 2 1   N        SD: 10.9705 c. M:-18.9954 c. 
 31:  2 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 1   P M ME S SD: 11.2494 c. M: 21.0241 c. 
 32:  2 2 1 2 3 0 2 3 1 2 1 2 2 1 2 2 1 2 1   N        SD: 10.2687 c. M: 20.7809 c. 
 34:  3 1 2 2 2 1 2 3 1 2 1 3 1 2 1 3 1 2 1   N   D3   SD: 10.0136 c. M:-17.6310 c. 
 36:  3 2 1 2 3 1 2 3 1 2 1 3 2 1 2 3 1 2 1   N   T3   SD: 7.3298 c. M:-13.6863 c. 
 41:  3 2 2 2 3 1 3 3 1 3 1 3 2 2 2 3 1 3 1   N   T3   SD: 4.9514 c. M: 8.7982 c. 
 53:  4 3 2 3 4 1 4 4 1 4 1 4 3 2 3 4 1 4 1   N        SD: 3.0246 c. M:-4.8272 c. 
 77:  6 4 3 4 6 2 5 6 2 5 2 6 4 3 4 6 2 5 2   N        SD: 2.2153 c. M: 4.5610 c. 
 94:  7 5 4 5 7 2 7 7 2 7 2 7 5 4 5 7 2 7 2   N        SD: 1.9332 c. M: 3.3350 c. 
 118: 9 6 5 6 9 3 8 9 3 8 3 9 6 5 6 9 3 8 3   N        SD: 2.2580 c. M: 3.6376 c. 
 130: 10 7 5 7 10 3 9 10 3 9 3 10 7 5 7 10 3 9 3   N        SD: 0.8473 c. M:-1.7835 c. 
 171: 13 9 7 9 13 4 12 13 4 12 4 13 9 7 9 13 4 12 4   N        SD: 0.8299 c. M: 1.5561 c. 
 224: 17 12 9 12 17 5 16 17 5 16 5 17 12 9 12 17 5 16 5   N        SD: 0.6420 c. M: 1.2766 c. 
 301: 23 16 12 16 23 7 21 23 7 21 7 23 16 12 16 23 7 21 7   N        SD: 0.5074 c. M: 0.9368 c. 
 311: 24 16 13 16 24 7 22 24 7 22 7 24 16 13 16 24 7 22 7   N        SD: 0.4678 c. M:-0.8874 c. 
 441: 34 23 18 23 34 10 31 34 10 31 10 34 23 18 23 34 10 31 10   N        SD: 0.1971 c. M:-0.4241 c. 
 571: 44 30 23 30 44 13 40 44 13 40 13 44 30 23 30 44 13 40 13   N        SD: 0.2363 c. M:-0.3770 c. 
 612: 47 32 25 32 47 14 43 47 14 43 14 47 32 25 32 47 14 43 14   N        SD: 0.1533 c. M: 0.2377 c. 
 665: 51 35 27 35 51 15 47 51 15 47 15 51 35 27 35 51 15 47 15   N        SD: 0.1288 c. M:-0.1968 c. 
 1053: 81 55 43 55 81 24 74 81 24 74 24 81 55 43 55 81 24 74 24   N        SD: 0.1065 c. M: 0.2042 c. 
 1106: 85 58 45 58 85 25 78 85 25 78 25 85 58 45 58 85 25 78 25   N        SD: 0.0862 c. M:-0.1735 c. 
 1183: 91 62 48 62 91 27 83 91 27 83 27 91 62 48 62 91 27 83 27   N        SD: 0.0956 c. M:-0.1613 c. 
 1277: 98 67 52 67 98 29 90 98 29 90 29 98 67 52 67 98 29 90 29   N        SD: 0.0635 c. M: 0.0960 c. 
 1407: 108 74 57 74 108 32 99 108 32 99 32 108 74 57 74 108 32 99 32   N        SD: 0.0577 c. M: 0.1081 c. 
 1718: 132 90 70 90 132 39 121 132 39 121 39 132 90 70 90 132 39 121 39   N        SD: 0.0392 c. M: 0.0756 c. 
 1848: 142 97 75 97 142 42 130 142 42 130 42 142 97 75 97 142 42 130 42   N        SD: 0.0300 c. M:-0.0552 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: 12.9774 cents
 6 .. 12  match: 6  H SD: 6.1041 cents
 7 .. 14  match: 7  H SD: 8.7531 cents
 8 .. 16  match: 8  H SD: 2.5310 cents
 9 .. 18  match: 9  H SD: 7.8675 cents
 10 .. 20  match: 10  H SD: 7.2603 cents
 11 .. 22  match: 11  H SD: 7.4230 cents
 12 .. 24  match: 12  H SD: 4.7353 cents
 13 .. 26  match: 12  S SD: 5.5682 cents
 14 .. 28  match: 13  S SD: 6.6289 cents
 15 .. 30  match: 13  S SD: 6.2115 cents
 16 .. 32  match: 14  S SD: 4.1788 cents
 17 .. 34  match: 16  S SD: 3.9458 cents
 18 .. 36  match: 15    SD: 5.0090 cents
 19 .. 38  match: 18    SD: 3.6368 cents
 20 .. 40  match: 15    SD: 3.3801 cents
 21 .. 42  match: 17    SD: 4.5770 cents
 22 .. 44  match: 18    SD: 3.6781 cents
 23 .. 46  match: 18    SD: 3.1363 cents
 24 .. 48  match: 18    SD: 3.1374 cents
 25 .. 50  match: 17    SD: 3.0865 cents
 27 .. 54  match: 18    SD: 3.7108 cents
 28 .. 56  match: 18    SD: 3.4474 cents
 29 .. 58  match: 17    SD: 2.9074 cents
 30 .. 60  match: 18    SD: 2.8492 cents
 31 .. 62  match: 19    SD: 2.1485 cents
 32 .. 64  match: 19    SD: 1.9227 cents
 33 .. 66  match: 17    SD: 2.4210 cents
 34 .. 68  match: 19    SD: 2.2037 cents
 36 .. 72  match: 19    SD: 2.0614 cents
 37 .. 74  match: 18    SD: 2.5229 cents
 38 .. 76  match: 18    SD: 2.2021 cents
 39 .. 78  match: 19    SD: 1.8903 cents
 40 .. 80  match: 19    SD: 1.8248 cents
 42 .. 84  match: 19    SD: 1.7620 cents
 43 .. 86  match: 18    SD: 2.2473 cents
 44 .. 88  match: 19    SD: 1.7548 cents
 48 .. 96  match: 19    SD: 1.5984 cents
 52 .. 104  match: 19    SD: 1.3257 cents
 55 .. 110  match: 19    SD: 1.2067 cents
 64 .. 128  match: 19    SD: 1.0795 cents
 71 .. 142  match: 19    SD: 1.0334 cents
 72 .. 144  match: 19    SD: 0.9460 cents
 73 .. 146  match: 19    SD: 0.9001 cents
 84 .. 168  match: 19    SD: 0.8917 cents
 86 .. 172  match: 19    SD: 0.7942 cents
 95 .. 190  match: 19    SD: 0.7844 cents
 96 .. 192  match: 19    SD: 0.4356 cents
 151 .. 302  match: 19    SD: 0.4209 cents
 160 .. 320  match: 19    SD: 0.3721 cents
 182 .. 364  match: 19    SD: 0.3674 cents
 192 .. 384  match: 19    SD: 0.3258 cents
 216 .. 432  match: 19    SD: 0.3021 cents
 224 .. 448  match: 19    SD: 0.2782 cents
 256 .. 512  match: 19    SD: 0.1701 cents
 352 .. 704  match: 19    SD: 0.1512 cents
 384 .. 768  match: 19    SD: 0.1468 cents
 416 .. 832  match: 19    SD: 0.1193 cents
 512 .. 1024  match: 19    SD: 0.0602 cents