Scala analysis: diaconv2401

Breed convex closure of 7-limit diamond

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         50/49             34.975615 Erlich's decatonic comma, tritonic diesis
  2:          8/7             231.174094 septimal whole tone
  3:          7/6             266.870906 septimal minor third
  4:          6/5             315.641287 minor third
  5:         60/49            350.616902 smaller 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:         80/49            848.661901 smaller 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:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
  2:         28/25            196.1985 middle second
  3:         49/48             35.6968 slendro diesis, septimal 1/6-tone
  4:         36/35             48.7704 septimal diesis, 1/4-tone
  5:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
  6:         49/48             35.6968 slendro diesis, septimal 1/6-tone
  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:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 13:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 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:   5 50/49               34.976 cents   Erlich's decatonic comma, tritonic diesis
  1:   4 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:   2 28/25               196.198 cents  middle second
  2:   1 2500/2401           69.951 cents   two (Erlich's decatonic comma, tritonic diesis)
  2:   2 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:   2 8/7                 231.174 cents  septimal whole tone
  2:   2 343/300             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:   2 400/343             266.150 cents  
  3:   2 7/6                 266.871 cents  septimal minor third
  3:   2 147/125             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:   2 25/21               301.847 cents  BP second, quasi-equal minor third
  4:   5 6/5                 315.641 cents  minor third
  4:   1 2401/2000           316.362 cents  
  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:   1 3000/2401           385.593 cents  
  6:   5 5/4                 386.314 cents  major third
  6:   1 64/49               462.348 cents  2 septatones or septatonic major third
  6:   3 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:   2 125/98              421.289 cents  
  7:   2 9/7                 435.084 cents  septimal major third, BP third
  7:   5 4/3                 498.045 cents  perfect fourth
  7:   2 343/250             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:   3 200/147             533.021 cents  
  8:   1 49/36               533.742 cents  Arabic lute acute fourth
  8:   2 48/35               546.815 cents  septimal semi-augmented fourth
  8:   4 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:   4 10/7                617.488 cents  Euler's tritone
  9:   2 35/24               653.185 cents  septimal semi-diminished fifth
  9:   1 72/49               666.258 cents  Arabic lute grave fifth
  9:   3 147/100             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:   2 500/343             652.463 cents  
 10:   5 3/2                 701.955 cents  perfect fifth
 10:   2 14/9                764.916 cents  septimal minor sixth
 10:   2 196/125             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:   3 75/49               736.931 cents  BP fifth
 11:   1 49/32               737.652 cents  
 11:   5 8/5                 813.686 cents  minor sixth
 11:   1 2401/1500           814.407 cents  
 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:   1 4000/2401           883.638 cents  
 13:   5 5/3                 884.359 cents  major sixth, BP sixth
 13:   2 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:   2 250/147             919.334 cents  
 14:   2 12/7                933.129 cents  septimal major sixth
 14:   2 343/200             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:   2 600/343             968.105 cents  
 15:   2 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:   2 48/25               1129.328 cents classic diminished octave
 15:   1 2401/1250           1130.049 cents 
 16:   2 25/14               1003.802 cents middle minor seventh
 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:   4 96/49               1164.303 cents 
 16:   5 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: 7.87500 = 63/8
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10    11    12    13     14     15     16     17    
 0.0   : 35.0  231.2 266.9 315.6 350.6 386.3 498.0 582.5 617.5 702.0 813.7 848.7 884.4  933.1  968.8  1165.0 1200.0
 35.0  : 196.2 231.9 280.7 315.6 351.3 463.1 547.5 582.5 667.0 778.7 813.7 849.4 898.2  933.9  1130.0 1165.0 1200.0
 231.2 : 35.7  84.5  119.4 155.1 266.9 351.3 386.3 470.8 582.5 617.5 653.2 702.0 737.7  933.9  968.8  1003.8 1200.0
 266.9 : 48.8  83.7  119.4 231.2 315.6 350.6 435.1 546.8 581.8 617.5 666.3 702.0 898.2  933.1  968.1  1164.3 1200.0
 315.6 : 35.0  70.7  182.4 266.9 301.8 386.3 498.0 533.0 568.7 617.5 653.2 849.4 884.4  919.3  1115.5 1151.2 1200.0
 350.6 : 35.7  147.4 231.9 266.9 351.3 463.1 498.0 533.7 582.5 618.2 814.4 849.4 884.4  1080.6 1116.3 1165.0 1200.0
 386.3 : 111.7 196.2 231.2 315.6 427.4 462.3 498.0 546.8 582.5 778.7 813.7 848.7 1044.9 1080.6 1129.3 1164.3 1200.0
 498.0 : 84.5  119.4 203.9 315.6 350.6 386.3 435.1 470.8 667.0 702.0 736.9 933.1 968.8  1017.6 1052.6 1088.3 1200.0
 582.5 : 35.0  119.4 231.2 266.1 301.8 350.6 386.3 582.5 617.5 652.5 848.7 884.4 933.1  968.1  1003.8 1115.5 1200.0
 617.5 : 84.5  196.2 231.2 266.9 315.6 351.3 547.5 582.5 617.5 813.7 849.4 898.2 933.1  968.8  1080.6 1165.0 1200.0
 702.0 : 111.7 146.7 182.4 231.2 266.9 463.1 498.0 533.0 729.2 764.9 813.7 848.7 884.4  996.1  1080.6 1115.5 1200.0
 813.7 : 35.0  70.7  119.4 155.1 351.3 386.3 421.3 617.5 653.2 702.0 736.9 772.6 884.4  968.8  1003.8 1088.3 1200.0
 848.7 : 35.7  84.5  120.2 316.4 351.3 386.3 582.5 618.2 667.0 702.0 737.7 849.4 933.9  968.8  1053.3 1165.0 1200.0
 884.4 : 48.8  84.5  280.7 315.6 350.6 546.8 582.5 631.3 666.3 702.0 813.7 898.2 933.1  1017.6 1129.3 1164.3 1200.0
 933.1 : 35.7  231.9 266.9 301.8 498.0 533.7 582.5 617.5 653.2 764.9 849.4 884.4 968.8  1080.6 1115.5 1151.2 1200.0
 968.8 : 196.2 231.2 266.1 462.3 498.0 546.8 581.8 617.5 729.2 813.7 848.7 933.1 1044.9 1079.8 1115.5 1164.3 1200.0
 1165.0: 35.0  70.0  266.1 301.8 350.6 385.6 421.3 533.0 617.5 652.5 736.9 848.7 883.6  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:  69.9512   .. 231.8953 cents      823543/750000, 161.9441 cents      15625/16807,-126.2472 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  .. 1130.0488 cents     823543/750000, 161.9441 cents      2250/2401,-112.4525 cents
 16:  1003.8015 .. 1165.0244 cents     686/625, 161.2229 cents            15625/16807,-126.2472 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: 4
Most common interval of one step    : 50/49, 34.9756 cents, amount: 5
Least squares average step          : 69.81656 cents, oct.:  1186.88155 cents
Scale is not proper
Step pattern alph. order: ABCDACEFAFEACDCBA
Step pattern size order : AFBCABEDADEABCBFA
Scale is not a Constant Structure
Scale diversity                     : 1.362506
Lumma stability                     : 0.058293
Lumma impropriety factor            : 0.883415
Number of different interval sizes  : 84 = 5.25000 / class
Number of one step interval sizes   : 6
Highest interval variety            : 10
Mean interval variety               : 7.87500 = 63/8
Median interval variety             : 6.5
Lowest interval variety             : 6
Smallest interval difference        : 2401/2400, 0.7212 cents
Most common intervals               : 7/5, 582.5122 cents & inv., amount: 10
Most common triad is 0.0 582.512 617.488 cents, amount: 5
Number of recognisable fifths       : 7, average 701.9550 cents
Scale contains a complete diamond   : 1 3 5 7
Length of longest harmonic part     : 1 at degree 0
Length of longest subharmonic part  : 2 at degree 4
Formal octave complements present   : 15 = 88.2353%
Scale is n-1 differentially coherent in interval classes 1 and 2 combined
-- Rational properties --
Prime limit                         : 7
Odd number limit                    : 2401 (O: 2401 U: 2401)
Highest odd numerator or denominator: 49
Scale harmonicity                   : 0.012808
Average absolute harmonicity        : 0.144513
Specific harmonicity                : 0.090949
Fundamental                         : 1/14700, -13.8435 octaves, 0.0178 Hz.
Guide tone                          : 58800,  15.8435 octaves, 15383583.240 Hz.
Exponens Consonantiae               : 8.643600E+08, 29.68706 octaves
Euler's gradus suavitatis           : 51
Sum of Mann's harmonic distance     : 277.0, average 16.29412
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   : 31.38564, average 1.84621
Vogel's harmonic complexity         : 28.94118
Wille's k value                     : 12862
Wilson's harmonic complexity        : 54
Rectangular lattice diameter        : 10
Triangular lattice diameter         : 4
Lattice compactness                 : 469.23397, average 3.06689
Lattice compactness (without 2's)   : 315.20934, average 2.06019
Number of different primes          : 4
Prime exponents' range, average, count, tones@limit:
  2:  -2 .. 4         0.82353   26    1
  3:  -1 .. 1         0.05882   7     2
  5:  -2 .. 2         0.11765   12    4
  7:  -2 .. 2        -0.23529   14    10
Average exponent except 2's         :-1 / 17 =-0.05882
Average absolute exponent except 2's: 33 / 17 = 1.94118
FIT/MODE
 17:  0 3 0 1 0 1 2 1 0 1 2 1 0 1 0 3 1   N        SD: 39.0977 c. M: 68.2640 c. 
 18:  0 3 1 0 1 0 2 1 1 1 2 0 1 1 0 3 1   N        SD: 32.3455 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: 17.3029 c. M:-28.3305 c. 
 21:  1 3 1 1 0 1 2 1 1 1 2 1 0 1 1 3 1   N      I SD: 16.2116 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: 13.9763 c. M:-24.0654 c. 
 24:  1 4 0 1 1 1 2 2 0 2 2 1 1 1 0 4 1   N      I SD: 13.7519 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: 12.3930 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: 7.7080 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: 3.5189 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: 2.0305 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: 1.6420 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: 0.9377 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: 0.8231 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: 0.2533 c. M:-0.4609 c. 
 441: 13 72 13 18 13 13 41 31 13 31 41 13 13 18 13 72 13   N      I SD: 0.2170 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: 0.2005 c. M:-0.3635 c. 
 894: 26 146 27 36 26 27 83 63 26 63 83 26 27 36 27 146 26   N        SD: 0.2085 c. M: 0.3398 c. 
 935: 27 153 28 38 27 28 87 66 27 66 87 27 28 38 28 153 27   N        SD: 0.1732 c. M:-0.3232 c. 
 966: 28 158 29 39 28 29 90 68 28 68 90 28 29 39 29 158 28   N        SD: 0.1519 c. M: 0.3063 c. 
 1034: 30 169 31 42 30 31 96 73 30 73 96 30 31 42 31 169 30   N        SD: 0.1509 c. M: 0.3060 c. 
 1065: 31 174 32 43 31 32 99 75 31 75 99 31 32 43 32 174 31   N        SD: 0.1364 c. M: 0.2112 c. 
 1106: 32 181 33 45 32 33 103 78 32 78 103 32 33 45 33 181 32   N        SD: 0.1257 c. M: 0.2559 c. 
 1137: 33 186 34 46 33 34 106 80 33 80 106 33 34 46 34 186 33   N        SD: 0.1082 c. M: 0.2211 c. 
 1205: 35 197 36 49 35 36 112 85 35 85 112 35 36 49 36 197 35   N        SD: 0.0980 c. M: 0.1972 c. 
 1236: 36 202 37 50 36 37 115 87 36 87 115 36 37 50 37 202 36   N        SD: 0.0857 c. M: 0.1315 c. 
 1308: 38 214 39 53 38 39 122 92 38 92 122 38 39 53 39 214 38   N        SD: 0.0854 c. M: 0.1582 c. 
 1376: 40 225 41 56 40 41 128 97 40 97 128 40 41 56 41 225 40   N        SD: 0.0622 c. M: 0.1154 c. 
 1407: 41 230 42 57 41 42 131 99 41 99 131 41 42 57 42 230 41   N        SD: 0.0507 c. M: 0.0839 c. 
 1547: 45 253 46 63 45 46 144 109 45 109 144 45 46 63 46 253 45   N        SD: 0.0431 c. M: 0.0693 c. 
 1578: 46 258 47 64 46 47 147 111 46 111 147 46 47 64 47 258 46   N        SD: 0.0329 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: 6.0315 cents
 9 .. 18  match: 8  S SD: 9.5824 cents
 10 .. 20  match: 9  S SD: 10.4752 cents
 11 .. 22  match: 8    SD: 10.3200 cents
 12 .. 24  match: 9  S SD: 2.5784 cents
 13 .. 26  match: 12    SD: 10.6245 cents
 14 .. 28  match: 13    SD: 9.0226 cents
 15 .. 30  match: 12    SD: 7.8669 cents
 16 .. 32  match: 13    SD: 7.1873 cents
 17 .. 34  match: 13    SD: 7.2815 cents
 18 .. 36  match: 14    SD: 5.7997 cents
 19 .. 38  match: 13    SD: 6.1020 cents
 20 .. 40  match: 14    SD: 4.6750 cents
 21 .. 42  match: 14    SD: 4.6508 cents
 22 .. 44  match: 15    SD: 4.6741 cents
 23 .. 46  match: 15    SD: 4.3415 cents
 24 .. 48  match: 15    SD: 3.5303 cents
 25 .. 50  match: 15    SD: 3.5124 cents
 26 .. 52  match: 15    SD: 4.1471 cents
 27 .. 54  match: 16    SD: 3.2263 cents
 28 .. 56  match: 16    SD: 2.6843 cents
 29 .. 58  match: 15    SD: 3.3717 cents
 30 .. 60  match: 17    SD: 2.5730 cents
 32 .. 64  match: 16    SD: 2.5292 cents
 33 .. 66  match: 16    SD: 2.8689 cents
 35 .. 70  match: 17    SD: 1.9154 cents
 36 .. 72  match: 17    SD: 1.8909 cents
 40 .. 80  match: 17    SD: 1.6650 cents
 48 .. 96  match: 17    SD: 1.2830 cents
 60 .. 120  match: 17    SD: 1.1067 cents
 72 .. 144  match: 17    SD: 1.0891 cents
 80 .. 160  match: 17    SD: 0.9606 cents
 84 .. 168  match: 17    SD: 0.6693 cents
 108 .. 216  match: 17    SD: 0.6545 cents
 112 .. 224  match: 17    SD: 0.6372 cents
 120 .. 240  match: 17    SD: 0.4973 cents
 140 .. 280  match: 17    SD: 0.4809 cents
 144 .. 288  match: 17    SD: 0.4758 cents
 152 .. 304  match: 17    SD: 0.4729 cents
 155 .. 310  match: 17    SD: 0.4612 cents
 156 .. 312  match: 17    SD: 0.4077 cents
 168 .. 336  match: 17    SD: 0.3971 cents
 180 .. 360  match: 17    SD: 0.3415 cents
 196 .. 392  match: 17    SD: 0.3129 cents
 204 .. 408  match: 17    SD: 0.3023 cents
 210 .. 420  match: 17    SD: 0.3000 cents
 240 .. 480  match: 17    SD: 0.1930 cents
 300 .. 600  match: 17    SD: 0.1676 cents
 348 .. 696  match: 17    SD: 0.1639 cents
 392 .. 784  match: 17    SD: 0.1555 cents
 400 .. 800  match: 17    SD: 0.1554 cents
 420 .. 840  match: 17    SD: 0.1264 cents
 480 .. 960  match: 17    SD: 0.1196 cents
 504 .. 1008  match: 17    SD: 0.1066 cents
 540 .. 1080  match: 17    SD: 0.0961 cents
 588 .. 1176  match: 17    SD: 0.0788 cents