Scala analysis: diaclose

Convex closure of 7-limit diamond in breed plane

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         49/48             35.696812 slendro diesis, septimal 1/6-tone
  2:          8/7             231.174094 septimal whole tone
  3:          7/6             266.870906 septimal minor third
  4:          6/5             315.641287 minor third
  5:         49/40            351.338099 larger approximation to neutral third
  6:          5/4             386.313714 major third
  7:          4/3             498.044999 perfect fourth
  8:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  9:         10/7             617.487807 Euler's tritone
 10:          3/2             701.955001 perfect fifth
 11:          8/5             813.686286 minor sixth
 12:         49/30            849.383098 larger approximation to neutral sixth
 13:          5/3             884.358713 major sixth, BP sixth
 14:         12/7             933.129094 septimal major sixth
 15:          7/4             968.825906 harmonic seventh
 16:         49/25           1165.024385 BP eighth
 17:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
  1:         49/48             35.6968 slendro diesis, septimal 1/6-tone
  2:        384/343           195.4773 
  3:         49/48             35.6968 slendro diesis, septimal 1/6-tone
  4:         36/35             48.7704 septimal diesis, 1/4-tone
  5:         49/48             35.6968 slendro diesis, septimal 1/6-tone
  6:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
  7:         16/15            111.7313 minor diatonic semitone
  8:         21/20             84.4672 minor semitone
  9:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 10:         21/20             84.4672 minor semitone
 11:         16/15            111.7313 minor diatonic semitone
 12:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 13:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 14:         36/35             48.7704 septimal diesis, 1/4-tone
 15:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 16:         28/25            196.1985 middle second
 17:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   4 50/49               34.976 cents   Erlich's decatonic comma, tritonic diesis
  1:   5 49/48               35.697 cents   slendro diesis, septimal 1/6-tone
  1:   2 36/35               48.770 cents   septimal diesis, 1/4-tone
  1:   2 21/20               84.467 cents   minor semitone
  1:   2 16/15               111.731 cents  minor diatonic semitone
  1:   1 384/343             195.477 cents  
  1:   1 28/25               196.198 cents  middle second
  2:   3 25/24               70.672 cents   classic chromatic semitone, minor chroma
  2:   1 360/343             83.746 cents   
  2:   3 21/20               84.467 cents   minor semitone
  2:   2 15/14               119.443 cents  major diatonic semitone
  2:   1 160/147             146.707 cents  
  2:   1 49/45               147.428 cents  BP minor semitone
  2:   2 28/25               196.198 cents  middle second
  2:   3 8/7                 231.174 cents  septimal whole tone
  2:   1 343/300             231.895 cents  
  3:   3 15/14               119.443 cents  major diatonic semitone
  3:   1 343/320             120.164 cents  
  3:   2 10/9                182.404 cents  minor whole tone
  3:   1 9/8                 203.910 cents  major whole tone
  3:   3 8/7                 231.174 cents  septimal whole tone
  3:   1 343/300             231.895 cents  
  3:   1 400/343             266.150 cents  
  3:   3 7/6                 266.871 cents  septimal minor third
  3:   1 288/245             279.944 cents  
  3:   1 147/125             280.666 cents  
  4:   2 35/32               155.140 cents  septimal neutral second
  4:   2 8/7                 231.174 cents  septimal whole tone
  4:   1 400/343             266.150 cents  
  4:   3 7/6                 266.871 cents  septimal minor third
  4:   1 25/21               301.847 cents  BP second, quasi-equal minor third
  4:   1 343/288             302.568 cents  
  4:   6 6/5                 315.641 cents  minor third
  4:   1 64/49               462.348 cents  2 septatones or septatonic major third
  5:   2 7/6                 266.871 cents  septimal minor third
  5:   2 25/21               301.847 cents  BP second, quasi-equal minor third
  5:   2 6/5                 315.641 cents  minor third
  5:   4 60/49               350.617 cents  smaller approximation to neutral third
  5:   4 49/40               351.338 cents  larger approximation to neutral third
  5:   1 32/25               427.373 cents  classic diminished fourth
  5:   2 4/3                 498.045 cents  perfect fourth
  6:   2 60/49               350.617 cents  smaller approximation to neutral third
  6:   2 49/40               351.338 cents  larger approximation to neutral third
  6:   6 5/4                 386.314 cents  major third
  6:   2 64/49               462.348 cents  2 septatones or septatonic major third
  6:   2 98/75               463.069 cents  
  6:   1 49/36               533.742 cents  Arabic lute acute fourth
  6:   2 48/35               546.815 cents  septimal semi-augmented fourth
  7:   2 5/4                 386.314 cents  major third
  7:   1 125/98              421.289 cents  
  7:   1 245/192             422.011 cents  
  7:   2 9/7                 435.084 cents  septimal major third, BP third
  7:   5 4/3                 498.045 cents  perfect fourth
  7:   1 48/35               546.815 cents  septimal semi-augmented fourth
  7:   1 343/250             547.537 cents  
  7:   1 480/343             581.791 cents  
  7:   3 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  8:   2 21/16               470.781 cents  narrow fourth
  8:   2 200/147             533.021 cents  
  8:   2 49/36               533.742 cents  Arabic lute acute fourth
  8:   2 48/35               546.815 cents  septimal semi-augmented fourth
  8:   1 480/343             581.791 cents  
  8:   3 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  8:   3 10/7                617.488 cents  Euler's tritone
  8:   1 343/240             618.209 cents  
  8:   1 36/25               631.283 cents  classic diminished fifth
  9:   1 25/18               568.717 cents  classic augmented fourth
  9:   1 480/343             581.791 cents  
  9:   3 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  9:   3 10/7                617.488 cents  Euler's tritone
  9:   1 343/240             618.209 cents  
  9:   2 35/24               653.185 cents  septimal semi-diminished fifth
  9:   2 72/49               666.258 cents  Arabic lute grave fifth
  9:   2 147/100             666.979 cents  
  9:   2 32/21               729.219 cents  wide fifth
 10:   3 10/7                617.488 cents  Euler's tritone
 10:   1 343/240             618.209 cents  
 10:   1 500/343             652.463 cents  
 10:   1 35/24               653.185 cents  septimal semi-diminished fifth
 10:   5 3/2                 701.955 cents  perfect fifth
 10:   2 14/9                764.916 cents  septimal minor sixth
 10:   1 384/245             777.989 cents  
 10:   1 196/125             778.711 cents  
 10:   2 8/5                 813.686 cents  minor sixth
 11:   2 35/24               653.185 cents  septimal semi-diminished fifth
 11:   1 72/49               666.258 cents  Arabic lute grave fifth
 11:   2 75/49               736.931 cents  BP fifth
 11:   2 49/32               737.652 cents  
 11:   6 8/5                 813.686 cents  minor sixth
 11:   2 80/49               848.662 cents  smaller approximation to neutral sixth
 11:   2 49/30               849.383 cents  larger approximation to neutral sixth
 12:   2 3/2                 701.955 cents  perfect fifth
 12:   1 25/16               772.627 cents  classic augmented fifth
 12:   4 80/49               848.662 cents  smaller approximation to neutral sixth
 12:   4 49/30               849.383 cents  larger approximation to neutral sixth
 12:   2 5/3                 884.359 cents  major sixth, BP sixth
 12:   2 42/25               898.153 cents  quasi-equal major sixth
 12:   2 12/7                933.129 cents  septimal major sixth
 13:   1 49/32               737.652 cents  
 13:   6 5/3                 884.359 cents  major sixth, BP sixth
 13:   1 576/343             897.432 cents  
 13:   1 42/25               898.153 cents  quasi-equal major sixth
 13:   3 12/7                933.129 cents  septimal major sixth
 13:   1 343/200             933.850 cents  
 13:   2 7/4                 968.826 cents  harmonic seventh
 13:   2 64/35               1044.860 cents septimal neutral seventh
 14:   1 250/147             919.334 cents  
 14:   1 245/144             920.056 cents  
 14:   3 12/7                933.129 cents  septimal major sixth
 14:   1 343/200             933.850 cents  
 14:   1 600/343             968.105 cents  
 14:   3 7/4                 968.826 cents  harmonic seventh
 14:   1 16/9                996.090 cents  Pythagorean minor seventh
 14:   2 9/5                 1017.596 cents just minor seventh, BP seventh
 14:   1 640/343             1079.836 cents 
 14:   3 28/15               1080.557 cents grave major seventh
 15:   1 600/343             968.105 cents  
 15:   3 7/4                 968.826 cents  harmonic seventh
 15:   2 25/14               1003.802 cents middle minor seventh
 15:   1 90/49               1052.572 cents 
 15:   1 147/80              1053.293 cents 
 15:   2 28/15               1080.557 cents grave major seventh
 15:   3 40/21               1115.533 cents acute major seventh
 15:   1 343/180             1116.254 cents 
 15:   3 48/25               1129.328 cents classic diminished octave
 16:   1 25/14               1003.802 cents middle minor seventh
 16:   1 343/192             1004.523 cents 
 16:   2 15/8                1088.269 cents classic major seventh
 16:   2 40/21               1115.533 cents acute major seventh
 16:   2 35/18               1151.230 cents septimal semi-diminished octave
 16:   5 96/49               1164.303 cents 
 16:   4 49/25               1165.024 cents BP eighth
Highest number of different intervals for one interval class: 10
Average number of different intervals per interval class: 8.25000 = 33/4
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10    11    12    13     14     15     16     17    
 0.0   : 35.7  231.2 266.9 315.6 351.3 386.3 498.0 582.5 617.5 702.0 813.7 849.4 884.4  933.1  968.8  1165.0 1200.0
 35.7  : 195.5 231.2 279.9 315.6 350.6 462.3 546.8 581.8 666.3 778.0 813.7 848.7 897.4  933.1  1129.3 1164.3 1200.0
 231.2 : 35.7  84.5  120.2 155.1 266.9 351.3 386.3 470.8 582.5 618.2 653.2 702.0 737.7  933.9  968.8  1004.5 1200.0
 266.9 : 48.8  84.5  119.4 231.2 315.6 350.6 435.1 546.8 582.5 617.5 666.3 702.0 898.2  933.1  968.8  1164.3 1200.0
 315.6 : 35.7  70.7  182.4 266.9 301.8 386.3 498.0 533.7 568.7 617.5 653.2 849.4 884.4  920.1  1115.5 1151.2 1200.0
 351.3 : 35.0  146.7 231.2 266.1 350.6 462.3 498.0 533.0 581.8 617.5 813.7 848.7 884.4  1079.8 1115.5 1164.3 1200.0
 386.3 : 111.7 196.2 231.2 315.6 427.4 463.1 498.0 546.8 582.5 778.7 813.7 849.4 1044.9 1080.6 1129.3 1165.0 1200.0
 498.0 : 84.5  119.4 203.9 315.6 351.3 386.3 435.1 470.8 667.0 702.0 737.7 933.1 968.8  1017.6 1053.3 1088.3 1200.0
 582.5 : 35.0  119.4 231.2 266.9 301.8 350.6 386.3 582.5 617.5 653.2 848.7 884.4 933.1  968.8  1003.8 1115.5 1200.0
 617.5 : 84.5  196.2 231.9 266.9 315.6 351.3 547.5 582.5 618.2 813.7 849.4 898.2 933.9  968.8  1080.6 1165.0 1200.0
 702.0 : 111.7 147.4 182.4 231.2 266.9 463.1 498.0 533.7 729.2 764.9 813.7 849.4 884.4  996.1  1080.6 1115.5 1200.0
 813.7 : 35.7  70.7  119.4 155.1 351.3 386.3 422.0 617.5 653.2 702.0 737.7 772.6 884.4  968.8  1003.8 1088.3 1200.0
 849.4 : 35.0  83.7  119.4 315.6 350.6 386.3 581.8 617.5 666.3 702.0 736.9 848.7 933.1  968.1  1052.6 1164.3 1200.0
 884.4 : 48.8  84.5  280.7 315.6 351.3 546.8 582.5 631.3 667.0 702.0 813.7 898.2 933.1  1017.6 1129.3 1165.0 1200.0
 933.1 : 35.7  231.9 266.9 302.6 498.0 533.7 582.5 618.2 653.2 764.9 849.4 884.4 968.8  1080.6 1116.3 1151.2 1200.0
 968.8 : 196.2 231.2 266.9 462.3 498.0 546.8 582.5 617.5 729.2 813.7 848.7 933.1 1044.9 1080.6 1115.5 1164.3 1200.0
 1165.0: 35.0  70.7  266.1 301.8 350.6 386.3 421.3 533.0 617.5 652.5 736.9 848.7 884.4  919.3  968.1  1003.8 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  34.9756   .. 196.1985 cents      686/625, 161.2229 cents            50/49, 34.9756 cents
  2:  70.6724   .. 231.8953 cents      686/625, 161.2229 cents            625/672,-125.5261 cents
  3:  119.4428  .. 280.6657 cents      686/625, 161.2229 cents            2250/2401,-112.4525 cents
  4:  155.1396  .. 462.3482 cents      2048/1715, 307.2086 cents          625/672,-125.5261 cents
  5:  266.8709  .. 498.0450 cents      8/7, 231.1741 cents                343/384,-195.4773 cents
  6:  350.6169  .. 546.8154 cents      28/25, 196.1985 cents              45/49,-147.4281 cents
  7:  386.3137  .. 582.5122 cents      28/25, 196.1985 cents              175/192,-160.5017 cents
  8:  470.7809  .. 631.2826 cents      192/175, 160.5017 cents            15/16,-111.7313 cents
  9:  568.7174  .. 729.2191 cents      192/175, 160.5017 cents            625/648,-62.5651 cents
 10:  617.4878  .. 813.6863 cents      28/25, 196.1985 cents              15/16,-111.7313 cents
 11:  653.1846  .. 849.3831 cents      28/25, 196.1985 cents              175/192,-160.5017 cents
 12:  701.9550  .. 933.1291 cents      8/7, 231.1741 cents                45/49,-147.4281 cents
 13:  737.6518  .. 1044.8604 cents     2048/1715, 307.2086 cents          343/384,-195.4773 cents
 14:  919.3343  .. 1080.5572 cents     686/625, 161.2229 cents            625/672,-125.5261 cents
 15:  968.1047  .. 1129.3276 cents     686/625, 161.2229 cents            2250/2401,-112.4525 cents
 16:  1003.8015 .. 1165.0244 cents     686/625, 161.2229 cents            625/672,-125.5261 cents
SHOW DATA
Number of notes                     : 17
-- Interval properties --
Smallest interval                   : 50/49, 34.9756 cents, class 1
Average step (divided formal octave): 70.5882 cents
Largest one step interval           : 28/25, 196.1985 cents
Average / Smallest step             : 2.018213
Largest / Average step              : 2.779478
Largest / Smallest step             : 5.609579
Median interval of one step         : 49/48, 35.6968 cents, amount: 5
Most common interval of one step    : 49/48, 35.6968 cents, amount: 5
Least squares average step          : 69.82383 cents, oct.:  1187.00518 cents
Scale is not proper
Step pattern alph. order: ABACADEFDFEADCAGD
Step pattern size order : BFBCBAEDADEBACBGA
Scale is not a Constant Structure
Scale diversity                     : 1.360995
Lumma stability                     : 0.058293
Lumma impropriety factor            : 0.882213
Number of different interval sizes  : 86 = 5.37500 / class
Number of one step interval sizes   : 7
Highest interval variety            : 10
Mean interval variety               : 8.25000 = 33/4
Median interval variety             : 7
Lowest interval variety             : 7
Smallest interval difference        : 2401/2400, 0.7212 cents
Most common intervals               : 7/5, 582.5122 cents & inv., amount: 9
Number of recognisable fifths       : 7, average 701.9550 cents
Scale contains a complete diamond   : 1 3 5 7
Length of longest harmonic part     : 2 at degree 4
Length of longest subharmonic part  : 2 at degree 16
Formal octave complements present   : 13 = 76.4706%
Scale is differentially coherent in interval classes 1 and 2 combined
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 5 and 6 combined
-- Rational properties --
Prime limit                         : 7
Odd number limit                    : 343 (O: 343 U: 343)
Highest odd numerator or denominator: 49
Scale harmonicity                   : 0.016028
Average absolute harmonicity        : 0.145085
Specific harmonicity                : 0.097332
Fundamental                         : 1/8400, -13.0362 octaves, 0.0311 Hz.
Guide tone                          : 5880,  12.5216 octaves, 1538358.324 Hz.
Exponens Consonantiae               : 4.939200E+07, 25.55777 octaves
Euler's gradus suavitatis           : 42
Sum of Mann's harmonic distance     : 241.0, average 14.17647
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 15.58150, average 0.91656
Sum of Tenney's harmonic distance   : 30.76585, average 1.80976
Vogel's harmonic complexity         : 25.70588
Wille's k value                     : 4287
Wilson's harmonic complexity        : 42
Rectangular lattice diameter        : 8
Triangular lattice diameter         : 3
Lattice compactness                 : 486.03689, average 3.17671
Lattice compactness (without 2's)   : 296.39083, average 1.93719
Number of different primes          : 4
Prime exponents' range, average, count, tones@limit:
  2:  -4 .. 3        -0.05882   27    1
  3:  -1 .. 1        -0.11765   8     2
  5:  -2 .. 1        -0.23529   10    4
  7:  -1 .. 2         0.47059   14    10
Average exponent except 2's         : 2 / 17 = 0.11765
Average absolute exponent except 2's: 32 / 17 = 1.88235
FIT/MODE
 17:  0 3 0 1 0 1 2 1 0 1 2 1 0 1 0 3 1   N        SD: 39.2125 c. M: 68.9852 c. 
 18:  0 3 1 0 1 0 2 1 1 1 2 0 1 1 0 3 1   N        SD: 32.4790 c. M: 52.9804 c. 
 19:  1 3 0 1 1 0 2 1 1 1 2 0 1 1 0 3 1   N      I SD: 17.2345 c. M: 28.3305 c. 
 20:  1 3 0 1 1 0 2 2 0 2 2 0 1 1 0 3 1   N      I SD: 18.9688 c. M:-26.8709 c. 
 21:  1 3 1 1 0 1 2 1 1 1 2 1 0 1 1 3 1   N      I SD: 16.1544 c. M: 27.2159 c. 
 22:  1 3 1 1 0 1 2 2 0 2 2 1 0 1 1 3 1   N      I SD: 13.9179 c. M: 24.0654 c. 
 23:  1 3 1 1 1 0 3 1 1 1 3 0 1 1 1 3 1   N      I SD: 15.7741 c. M:-23.6941 c. 
 24:  1 4 0 1 1 1 2 2 0 2 2 1 1 1 0 4 1   N      I SD: 13.7066 c. M:-18.8259 c. 
 26:  1 4 1 1 1 0 3 2 0 2 3 0 1 1 1 4 1   N      I SD: 12.3559 c. M: 18.6139 c. 
 27:  1 4 1 1 1 1 2 2 1 2 2 1 1 1 1 4 1   N      I SD: 7.6577 c. M: 13.6863 c. 
 31:  1 5 1 1 1 1 3 2 1 2 3 1 1 1 1 5 1   N      I SD: 3.4779 c. M: 5.9639 c. 
 68:  2 11 2 3 2 2 6 5 2 5 6 2 2 3 2 11 2   N      I SD: 2.0314 c. M:-3.9274 c. 
 72:  2 12 2 3 2 2 7 5 2 5 7 2 2 3 2 12 2   N      I SD: 1.6929 c. M: 2.9804 c. 
 99:  3 16 3 4 3 3 9 7 3 7 9 3 3 4 3 16 3   N      I SD: 0.8900 c. M:-1.5651 c. 
 140: 4 23 4 6 4 4 13 10 4 10 13 4 4 6 4 23 4   N      I SD: 0.8756 c. M: 1.5016 c. 
 171: 5 28 5 7 5 5 16 12 5 12 16 5 5 7 5 28 5   N      I SD: 0.2920 c. M: 0.6091 c. 
 270: 8 44 8 11 8 8 25 19 8 19 25 8 8 11 8 44 8   N      I SD: 0.2785 c. M: 0.5799 c. 
 441: 13 72 13 18 13 13 41 31 13 31 41 13 13 18 13 72 13   N      I SD: 0.2094 c. M: 0.4035 c. 
 612: 18 100 18 25 18 18 57 43 18 43 57 18 18 25 18 100 18   N      I SD: 0.2092 c. M: 0.4027 c. 
 935: 28 152 28 38 28 27 87 66 27 66 87 28 27 38 28 153 27   N        SD: 0.1650 c. M:-0.3232 c. 
 1034: 31 168 31 42 31 30 96 73 30 73 96 31 30 42 31 169 30   N        SD: 0.1609 c. M:-0.3060 c. 
 1106: 33 180 33 45 33 32 103 78 32 78 103 33 32 45 33 181 32   N        SD: 0.1124 c. M:-0.2559 c. 
 1137: 34 185 34 46 34 33 106 80 33 80 106 34 33 46 34 186 33   N        SD: 0.1118 c. M:-0.2211 c. 
 1205: 36 196 36 49 36 35 112 85 35 85 112 36 35 49 36 197 35   N        SD: 0.1007 c. M:-0.1972 c. 
 1277: 38 208 38 52 38 37 119 90 37 90 119 38 37 52 38 209 37   N        SD: 0.0861 c. M:-0.2066 c. 
 1304: 39 212 39 53 39 38 121 92 38 92 121 39 38 53 39 213 38   N        SD: 0.1318 c. M:-0.1956 c. 
 1308: 39 213 39 53 39 38 122 92 38 92 122 39 38 53 39 214 38   N        SD: 0.0834 c. M:-0.1582 c. 
 1376: 41 224 41 56 41 40 128 97 40 97 128 41 40 56 41 225 40   N        SD: 0.0598 c. M:-0.1154 c. 
 1407: 42 229 42 57 42 41 131 99 41 99 131 42 41 57 42 230 41   N        SD: 0.0589 c. M:-0.1241 c. 
 1547: 46 252 46 63 46 45 144 109 45 109 144 46 45 63 46 253 45   N        SD: 0.0398 c. M:-0.0693 c. 
 1578: 47 257 47 64 47 46 147 111 46 111 147 47 46 64 47 258 46   N        SD: 0.0346 c. M:-0.0539 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: 9.7541 cents
 6 .. 12  match: 6  H SD: 13.4228 cents
 7 .. 14  match: 6  S SD: 9.6489 cents
 8 .. 16  match: 7  S SD: 6.0522 cents
 9 .. 18  match: 8  S SD: 9.5866 cents
 10 .. 20  match: 9  S SD: 10.4752 cents
 11 .. 22  match: 8    SD: 10.3161 cents
 12 .. 24  match: 9  S SD: 2.5784 cents
 13 .. 26  match: 12    SD: 10.5766 cents
 14 .. 28  match: 13    SD: 8.9849 cents
 15 .. 30  match: 12    SD: 7.8181 cents
 16 .. 32  match: 13    SD: 7.1509 cents
 17 .. 34  match: 13    SD: 7.2266 cents
 18 .. 36  match: 14    SD: 5.7649 cents
 19 .. 38  match: 13    SD: 6.0656 cents
 20 .. 40  match: 14    SD: 4.6362 cents
 21 .. 42  match: 14    SD: 4.6267 cents
 22 .. 44  match: 15    SD: 4.6405 cents
 23 .. 46  match: 15    SD: 4.3209 cents
 24 .. 48  match: 15    SD: 3.5059 cents
 25 .. 50  match: 15    SD: 3.4758 cents
 26 .. 52  match: 15    SD: 4.1173 cents
 27 .. 54  match: 16    SD: 3.2084 cents
 28 .. 56  match: 16    SD: 2.6622 cents
 29 .. 58  match: 15    SD: 3.3620 cents
 30 .. 60  match: 17    SD: 2.5399 cents
 32 .. 64  match: 16    SD: 2.5282 cents
 33 .. 66  match: 16    SD: 2.8493 cents
 35 .. 70  match: 17    SD: 1.8969 cents
 36 .. 72  match: 17    SD: 1.8713 cents
 40 .. 80  match: 17    SD: 1.6661 cents
 48 .. 96  match: 17    SD: 1.2867 cents
 60 .. 120  match: 17    SD: 1.1433 cents
 72 .. 144  match: 17    SD: 1.1061 cents
 76 .. 152  match: 17    SD: 1.0956 cents
 77 .. 154  match: 17    SD: 1.0936 cents
 80 .. 160  match: 17    SD: 0.9274 cents
 84 .. 168  match: 17    SD: 0.6494 cents
 120 .. 240  match: 17    SD: 0.5252 cents
 140 .. 280  match: 17    SD: 0.4827 cents
 150 .. 300  match: 17    SD: 0.4731 cents
 155 .. 310  match: 17    SD: 0.4689 cents
 156 .. 312  match: 17    SD: 0.4149 cents
 180 .. 360  match: 17    SD: 0.3448 cents
 196 .. 392  match: 17    SD: 0.3214 cents
 204 .. 408  match: 17    SD: 0.3132 cents
 240 .. 480  match: 17    SD: 0.1784 cents
 336 .. 672  match: 17    SD: 0.1777 cents
 385 .. 770  match: 17    SD: 0.1755 cents
 392 .. 784  match: 17    SD: 0.1719 cents
 420 .. 840  match: 17    SD: 0.1180 cents
 480 .. 960  match: 17    SD: 0.0944 cents