Scala analysis: hahn16

Hahn-reduced 16 note scale

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         15/14            119.442808 major diatonic semitone
  2:          9/8             203.910002 major whole tone
  3:          8/7             231.174094 septimal whole tone
  4:          6/5             315.641287 minor third
  5:          5/4             386.313714 major third
  6:         21/16            470.780907 narrow fourth
  7:          4/3             498.044999 perfect fourth
  8:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  9:          3/2             701.955001 perfect fifth
 10:         25/16            772.627428 classic augmented fifth
 11:          8/5             813.686286 minor sixth
 12:          5/3             884.358713 major sixth, BP sixth
 13:          7/4             968.825906 harmonic seventh
 14:         28/15           1080.557192 grave major seventh
 15:         15/8            1088.268715 classic major seventh
 16:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         16/15            111.7313 minor diatonic semitone
  1:         15/14            119.4428 major diatonic semitone
  2:         21/20             84.4672 minor semitone
  3:         64/63             27.2641 septimal comma, Archytas' comma
  4:         21/20             84.4672 minor semitone
  5:         25/24             70.6724 classic chromatic semitone, minor chroma
  6:         21/20             84.4672 minor semitone
  7:         64/63             27.2641 septimal comma, Archytas' comma
  8:         21/20             84.4672 minor semitone
  9:         15/14            119.4428 major diatonic semitone
 10:         25/24             70.6724 classic chromatic semitone, minor chroma
 11:        128/125            41.0589 minor diesis, diesis
 12:         25/24             70.6724 classic chromatic semitone, minor chroma
 13:         21/20             84.4672 minor semitone
 14:         16/15            111.7313 minor diatonic semitone
 15:        225/224             7.7115 septimal kleisma
 16:         16/15            111.7313 minor diatonic semitone
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 225/224             7.712 cents    septimal kleisma
  1:   2 64/63               27.264 cents   septimal comma, Archytas' comma
  1:   1 128/125             41.059 cents   minor diesis, diesis
  1:   3 25/24               70.672 cents   classic chromatic semitone, minor chroma
  1:   5 21/20               84.467 cents   minor semitone
  1:   2 16/15               111.731 cents  minor diatonic semitone
  1:   2 15/14               119.443 cents  major diatonic semitone
  2:   6 16/15               111.731 cents  minor diatonic semitone
  2:   2 15/14               119.443 cents  major diatonic semitone
  2:   3 35/32               155.140 cents  septimal neutral second
  2:   1 125/112             190.115 cents  classic augmented semitone
  2:   1 28/25               196.198 cents  middle second
  2:   2 9/8                 203.910 cents  major whole tone
  2:   1 8/7                 231.174 cents  septimal whole tone
  3:   3 10/9                182.404 cents  minor whole tone
  3:   3 28/25               196.198 cents  middle second
  3:   1 9/8                 203.910 cents  major whole tone
  3:   4 8/7                 231.174 cents  septimal whole tone
  3:   1 225/196             238.886 cents  two (major diatonic semitone)
  3:   1 147/128             239.607 cents  
  3:   1 7/6                 266.871 cents  septimal minor third
  3:   1 75/64               274.582 cents  classic augmented second
  3:   1 6/5                 315.641 cents  minor third
  4:   5 7/6                 266.871 cents  septimal minor third
  4:   1 75/64               274.582 cents  classic augmented second
  4:   2 25/21               301.847 cents  BP second, quasi-equal minor third
  4:   1 448/375             307.930 cents  
  4:   4 6/5                 315.641 cents  minor third
  4:   1 135/112             323.353 cents  septimal wide minor third
  4:   1 128/105             342.905 cents  septimal neutral third
  4:   1 60/49               350.617 cents  smaller approximation to neutral third
  5:   1 32/27               294.135 cents  Pythagorean minor third
  5:   1 6/5                 315.641 cents  minor third
  5:   1 128/105             342.905 cents  septimal neutral third
  5:   1 60/49               350.617 cents  smaller approximation to neutral third
  5:   2 49/40               351.338 cents  larger approximation to neutral third
  5:   1 56/45               378.602 cents  septimal narrow major third
  5:   6 5/4                 386.314 cents  major third
  5:   1 32/25               427.373 cents  classic diminished fourth
  5:   2 9/7                 435.084 cents  septimal major third, BP third
  6:   2 56/45               378.602 cents  septimal narrow major third
  6:   1 5/4                 386.314 cents  major third
  6:   1 80/63               413.578 cents  wide major third
  6:   2 32/25               427.373 cents  classic diminished fourth
  6:   1 9/7                 435.084 cents  septimal major third, BP third
  6:   1 125/96              456.986 cents  classic augmented third
  6:   1 64/49               462.348 cents  2 septatones or septatonic major third
  6:   3 21/16               470.781 cents  narrow fourth
  6:   2 4/3                 498.045 cents  perfect fourth
  6:   1 75/56               505.757 cents  marvelous fourth
  6:   1 27/20               519.551 cents  acute fourth
  7:   1 98/75               463.069 cents  
  7:   6 4/3                 498.045 cents  perfect fourth
  7:   2 75/56               505.757 cents  marvelous fourth
  7:   1 175/128             541.453 cents  
  7:   3 48/35               546.815 cents  septimal semi-augmented fourth
  7:   2 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  7:   1 45/32               590.224 cents  diatonic tritone
  8:   2 25/18               568.717 cents  classic augmented fourth
  8:   4 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  8:   2 45/32               590.224 cents  diatonic tritone
  8:   2 64/45               609.776 cents  2nd tritone
  8:   4 10/7                617.488 cents  Euler's tritone
  8:   2 36/25               631.283 cents  classic diminished fifth
  9:   1 64/45               609.776 cents  2nd tritone
  9:   2 10/7                617.488 cents  Euler's tritone
  9:   3 35/24               653.185 cents  septimal semi-diminished fifth
  9:   1 256/175             658.547 cents  
  9:   2 112/75              694.243 cents  marvelous fifth
  9:   6 3/2                 701.955 cents  perfect fifth
  9:   1 75/49               736.931 cents  BP fifth
 10:   1 40/27               680.449 cents  grave fifth
 10:   1 112/75              694.243 cents  marvelous fifth
 10:   2 3/2                 701.955 cents  perfect fifth
 10:   3 32/21               729.219 cents  wide fifth
 10:   1 49/32               737.652 cents  
 10:   1 192/125             743.014 cents  classic diminished sixth
 10:   1 14/9                764.916 cents  septimal minor sixth
 10:   2 25/16               772.627 cents  classic augmented fifth
 10:   1 63/40               786.422 cents  narrow minor sixth
 10:   1 8/5                 813.686 cents  minor sixth
 10:   2 45/28               821.398 cents  septimale wide minor sixth
 11:   2 14/9                764.916 cents  septimal minor sixth
 11:   1 25/16               772.627 cents  classic augmented fifth
 11:   6 8/5                 813.686 cents  minor sixth
 11:   1 45/28               821.398 cents  septimale wide minor sixth
 11:   2 80/49               848.662 cents  smaller approximation to neutral sixth
 11:   1 49/30               849.383 cents  larger approximation to neutral sixth
 11:   1 105/64              857.095 cents  septimal neutral sixth
 11:   1 5/3                 884.359 cents  major sixth, BP sixth
 11:   1 27/16               905.865 cents  Pythagorean major sixth
 12:   1 49/30               849.383 cents  larger approximation to neutral sixth
 12:   1 105/64              857.095 cents  septimal neutral sixth
 12:   1 224/135             876.647 cents  narrow septimal major sixth
 12:   4 5/3                 884.359 cents  major sixth, BP sixth
 12:   1 375/224             892.070 cents  
 12:   2 42/25               898.153 cents  quasi-equal major sixth
 12:   1 128/75              925.418 cents  diminished seventh
 12:   5 12/7                933.129 cents  septimal major sixth
 13:   1 5/3                 884.359 cents  major sixth, BP sixth
 13:   1 128/75              925.418 cents  diminished seventh
 13:   1 12/7                933.129 cents  septimal major sixth
 13:   1 256/147             960.393 cents  
 13:   1 392/225             961.114 cents  
 13:   4 7/4                 968.826 cents  harmonic seventh
 13:   1 16/9                996.090 cents  Pythagorean minor seventh
 13:   3 25/14               1003.802 cents middle minor seventh
 13:   3 9/5                 1017.596 cents just minor seventh, BP seventh
 14:   1 7/4                 968.826 cents  harmonic seventh
 14:   2 16/9                996.090 cents  Pythagorean minor seventh
 14:   1 25/14               1003.802 cents middle minor seventh
 14:   1 224/125             1009.885 cents 
 14:   3 64/35               1044.860 cents septimal neutral seventh
 14:   2 28/15               1080.557 cents grave major seventh
 14:   6 15/8                1088.269 cents classic major seventh
 15:   2 28/15               1080.557 cents grave major seventh
 15:   2 15/8                1088.269 cents classic major seventh
 15:   5 40/21               1115.533 cents acute major seventh
 15:   3 48/25               1129.328 cents classic diminished octave
 15:   1 125/64              1158.941 cents classic augmented seventh, octave - minor diesis
 15:   2 63/32               1172.736 cents octave - septimal comma
 15:   1 448/225             1192.288 cents 
Highest number of different intervals for one interval class: 11
Average number of different intervals per interval class: 8.13333 = 122/15
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10    11    12    13     14     15     16    
 0.0   : 119.4 203.9 231.2 315.6 386.3 470.8 498.0 582.5 702.0 772.6 813.7 884.4 968.8  1080.6 1088.3 1200.0
 119.4 : 84.5  111.7 196.2 266.9 351.3 378.6 463.1 582.5 653.2 694.2 764.9 849.4 961.1  968.8  1080.6 1200.0
 203.9 : 27.3  111.7 182.4 266.9 294.1 378.6 498.0 568.7 609.8 680.4 764.9 876.6 884.4  996.1  1115.5 1200.0
 231.2 : 84.5  155.1 239.6 266.9 351.3 470.8 541.5 582.5 653.2 737.7 849.4 857.1 968.8  1088.3 1172.7 1200.0
 315.6 : 70.7  155.1 182.4 266.9 386.3 457.0 498.0 568.7 653.2 764.9 772.6 884.4 1003.8 1088.3 1115.5 1200.0
 386.3 : 84.5  111.7 196.2 315.6 386.3 427.4 498.0 582.5 694.2 702.0 813.7 933.1 1017.6 1044.9 1129.3 1200.0
 470.8 : 27.3  111.7 231.2 301.8 342.9 413.6 498.0 609.8 617.5 729.2 848.7 933.1 960.4  1044.9 1115.5 1200.0
 498.0 : 84.5  203.9 274.6 315.6 386.3 470.8 582.5 590.2 702.0 821.4 905.9 933.1 1017.6 1088.3 1172.7 1200.0
 582.5 : 119.4 190.1 231.2 301.8 386.3 498.0 505.8 617.5 736.9 821.4 848.7 933.1 1003.8 1088.3 1115.5 1200.0
 702.0 : 70.7  111.7 182.4 266.9 378.6 386.3 498.0 617.5 702.0 729.2 813.7 884.4 968.8  996.1  1080.6 1200.0
 772.6 : 41.1  111.7 196.2 307.9 315.6 427.4 546.8 631.3 658.5 743.0 813.7 898.2 925.4  1009.9 1129.3 1200.0
 813.7 : 70.7  155.1 266.9 274.6 386.3 505.8 590.2 617.5 702.0 772.6 857.1 884.4 968.8  1088.3 1158.9 1200.0
 884.4 : 84.5  196.2 203.9 315.6 435.1 519.6 546.8 631.3 702.0 786.4 813.7 898.2 1017.6 1088.3 1129.3 1200.0
 968.8 : 111.7 119.4 231.2 350.6 435.1 462.3 546.8 617.5 702.0 729.2 813.7 933.1 1003.8 1044.9 1115.5 1200.0
 1080.6: 7.7   119.4 238.9 323.4 350.6 435.1 505.8 590.2 617.5 702.0 821.4 892.1 933.1  1003.8 1088.3 1200.0
 1088.3: 111.7 231.2 315.6 342.9 427.4 498.0 582.5 609.8 694.2 813.7 884.4 925.4 996.1  1080.6 1192.3 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  7.7115    .. 119.4428 cents      16/15, 111.7313 cents              225/224, 7.7115 cents
  2:  111.7313  .. 231.1741 cents      15/14, 119.4428 cents              224/225,-7.7115 cents
  3:  182.4037  .. 315.6413 cents      27/25, 133.2376 cents              35/36,-48.7704 cents
  4:  266.8709  .. 350.6169 cents      360/343, 83.7460 cents             35/36,-48.7704 cents
  5:  294.1350  .. 435.0841 cents      243/224, 140.9491 cents            392/405,-56.4819 cents
  6:  378.6022  .. 519.5513 cents      243/224, 140.9491 cents            392/405,-56.4819 cents
  7:  463.0694  .. 590.2237 cents      3375/3136, 127.1543 cents          392/405,-56.4819 cents
  8:  568.7174  .. 631.2826 cents      648/625, 62.5651 cents             80/81,-21.5063 cents
  9:  609.7763  .. 736.9306 cents      3375/3136, 127.1543 cents          80/81,-21.5063 cents
 10:  680.4487  .. 821.3978 cents      243/224, 140.9491 cents            392/405,-56.4819 cents
 11:  764.9159  .. 905.8650 cents      243/224, 140.9491 cents            392/405,-56.4819 cents
 12:  849.3831  .. 933.1291 cents      360/343, 83.7460 cents             392/405,-56.4819 cents
 13:  884.3587  .. 1017.5963 cents     27/25, 133.2376 cents              35/36,-48.7704 cents
 14:  968.8259  .. 1088.2687 cents     15/14, 119.4428 cents              35/36,-48.7704 cents
 15:  1080.5572 .. 1192.2885 cents     16/15, 111.7313 cents              224/225,-7.7115 cents
SHOW DATA
Number of notes                     : 16
-- Interval properties --
Smallest interval                   : 225/224, 7.7115 cents, class 1
Average step (divided formal octave): 75.0000 cents
Largest one step interval           : 15/14, 119.4428 cents
Average / Smallest step             : 9.725705
Largest / Average step              : 1.592571
Largest / Smallest step             : 15.488874
Median interval of one step         : 21/20, 84.4672 cents, amount: 5
Most common interval of one step    : 21/20, 84.4672 cents, amount: 5
Least squares average step          : 75.02628 cents, oct.:  1200.42041 cents
Scale is not proper
Step pattern alph. order: ABCBDBCBADEDBFGF
Step pattern size order : GEBEDEBEGDCDEFAF
Scale is not a Constant Structure
Scale diversity                     : 1.473483
Lumma stability                     : 0.012853
Lumma impropriety factor            : 0.457830
Number of different interval sizes  : 84 = 5.60000 / class
Number of one step interval sizes   : 7
Highest interval variety            : 11
Mean interval variety               : 8.13333 = 122/15
Median interval variety             : 6
Lowest interval variety             : 6
Smallest interval difference        : 2401/2400, 0.7212 cents
Number of recognisable fifths       : 11, average 699.8519 cents
Scale contains a complete diamond   : 1 3 5
Length of longest harmonic part     : 1 at degree 0
Length of longest subharmonic part  : 2 at degree 15
Formal octave complements present   : 11 = 68.7500%
Scale is differentially coherent in interval class 1
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
-- Rational properties --
Prime limit                         : 7
Odd number limit                    : 375 (O: 375 U: 375)
Highest odd numerator or denominator: 25
Scale harmonicity                   : 0.018258
Average absolute harmonicity        : 0.159751
Specific harmonicity                : 0.122390
Fundamental                         : 1/1680, -10.7142 octaves, 0.1557 Hz.
Guide tone                          : 12600,  13.6211 octaves, 3296482.123 Hz.
Exponens Consonantiae               : 2.116800E+07, 24.33538 octaves
Euler's gradus suavitatis           : 38
Sum of Mann's harmonic distance     : 142.0, average 8.87500
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 13.48809, average 0.84301
Sum of Tenney's harmonic distance   : 26.46446, average 1.65403
Vogel's harmonic complexity         : 20.75000
Wille's k value                     : 1312
Wilson's harmonic complexity        : 38
Rectangular lattice diameter        : 8
Triangular lattice diameter         : 4
Lattice compactness                 : 462.59131, average 3.40141
Lattice compactness (without 2's)   : 241.88977, average 1.77860
Number of different primes          : 4
Prime exponents' range, average, count, tones@limit:
  2:  -4 .. 3        -0.50000   32    1
  3:  -1 .. 2         0.25000   10    3
  5:  -1 .. 2         0.12500   10    6
  7:  -1 .. 1         0.12500   6     6
Average exponent except 2's         : 8 / 16 = 0.50000
Average absolute exponent except 2's: 26 / 16 = 1.62500
Scale is weakly epimorphic with val: <16 23 35 43|
Scale is weakly epimorphic with val: <16 25 37 45| = patent
Scale is weakly epimorphic with val: <16 27 39 47|
FIT/MODE
 16:  1 1 1 1 1 1 0 1 2 1 0 1 1 2 0 2   N   T3   SD: 41.3017 c. M: 68.8259 c. 
 17:  2 1 0 1 1 2 0 1 2 1 1 1 1 1 0 2   N        SD: 22.3297 c. M: 33.3725 c. 
 19:  2 1 1 1 1 1 1 1 2 1 1 1 1 2 0 2   N   D3   SD: 13.4330 c. M: 28.6756 c. 
 20:  2 1 1 1 1 2 0 2 2 1 1 1 1 2 0 2   N B D3   SD: 15.3440 c. M:-26.3137 c. 
 22:  2 2 0 2 1 2 0 2 2 1 1 1 2 2 0 2   N        SD: 11.0884 c. M:-20.1282 c. 
 28:  3 2 0 2 2 2 1 2 2 2 1 2 2 2 0 3   N        SD: 12.3834 c. M:-17.4878 c. 
 30:  3 2 1 2 2 2 0 3 3 1 1 2 2 3 0 3   N        SD: 10.7651 c. M:-18.0450 c. 
 31:  3 2 1 2 2 2 1 2 3 2 1 2 2 3 0 3   N        SD: 4.4878 c. M: 10.3616 c. 
 43:  4 3 1 3 3 3 1 3 4 3 1 3 3 4 0 4   N        SD: 6.3673 c. M:-8.7679 c. 
 46:  5 3 1 3 3 3 1 3 5 3 1 3 3 4 1 4   N        SD: 6.0977 c. M:-10.9920 c. 
 53:  5 4 1 4 3 4 1 4 5 3 2 3 4 5 0 5   N        SD: 3.5424 c. M:-6.2353 c. 
 68:  7 5 1 5 4 5 1 5 7 4 2 4 5 6 1 6   N        SD: 3.7829 c. M:-7.8547 c. 
 72:  7 5 2 5 4 5 2 5 7 4 3 4 5 7 0 7   N        SD: 3.0107 c. M: 5.9608 c. 
 84:  8 6 2 6 5 6 2 6 8 5 3 5 6 8 0 8   N        SD: 2.6540 c. M: 5.1571 c. 
 87:  9 6 2 6 5 6 2 6 9 5 3 5 6 8 1 8   N        SD: 2.5003 c. M:-4.6951 c. 
 99:  10 7 2 7 6 7 2 7 10 6 3 6 7 9 1 9   N        SD: 1.6034 c. M:-3.1301 c. 
 118: 12 8 3 8 7 8 3 8 12 7 4 7 8 11 1 11   N        SD: 1.6979 c. M: 2.9843 c. 
 130: 13 9 3 9 8 9 3 9 13 8 4 8 9 12 1 12   N        SD: 1.1649 c. M:-2.7572 c. 
 140: 14 10 3 10 8 10 3 10 14 8 5 8 10 13 1 13   N        SD: 0.8989 c. M:-1.8043 c. 
 171: 17 12 4 12 10 12 4 12 17 10 6 10 12 16 1 16   N        SD: 0.3585 c. M: 0.6976 c. 
 441: 44 31 10 31 26 31 10 31 44 26 15 26 31 41 3 41   N        SD: 0.1463 c. M:-0.2851 c. 
 612: 61 43 14 43 36 43 14 43 61 36 21 36 43 57 4 57   N        SD: 0.1146 c. M:-0.1985 c. 
 935: 93 66 21 66 55 66 21 66 93 55 32 55 66 87 6 87   N        SD: 0.1117 c. M:-0.2351 c. 
 966: 96 68 22 68 57 68 22 68 96 57 33 57 68 90 6 90   N        SD: 0.1097 c. M:-0.1881 c. 
 1106: 110 78 25 78 65 78 25 78 110 65 38 65 78 103 7 103   N        SD: 0.0785 c. M:-0.1280 c. 
 1376: 137 97 31 97 81 97 31 97 137 81 47 81 97 128 9 128   N        SD: 0.0771 c. M:-0.1598 c. 
 1407: 140 99 32 99 83 99 32 99 140 83 48 83 99 131 9 131   N        SD: 0.0476 c. M:-0.0805 c. 
 1547: 154 109 35 109 91 109 35 109 154 91 53 91 109 144 10 144   N        SD: 0.0451 c. M:-0.0978 c. 
 1848: 184 130 42 130 109 130 42 130 184 109 63 109 130 172 12 172   N        SD: 0.0422 c. M:-0.0998 c. 
 2019: 201 142 46 142 119 142 46 142 201 119 69 119 142 188 13 188   N        SD: 0.0312 c. M: 0.0528 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: 7.9010 cents
 7 .. 14  match: 7  H SD: 8.9756 cents
 8 .. 16  match: 8  H SD: 5.1441 cents
 9 .. 18  match: 9  H SD: 8.1385 cents
 10 .. 20  match: 10  H SD: 7.6602 cents
 11 .. 22  match: 9    SD: 9.3051 cents
 12 .. 24  match: 12  H SD: 5.7792 cents
 13 .. 26  match: 11  S SD: 5.6752 cents
 14 .. 28  match: 12    SD: 6.3878 cents
 15 .. 30  match: 12    SD: 3.8071 cents
 16 .. 32  match: 13  S SD: 3.9930 cents
 17 .. 34  match: 13  S SD: 5.7345 cents
 18 .. 36  match: 14    SD: 5.6067 cents
 19 .. 38  match: 14    SD: 5.6346 cents
 20 .. 40  match: 15    SD: 3.8526 cents
 21 .. 42  match: 13    SD: 4.8355 cents
 22 .. 44  match: 13    SD: 4.9458 cents
 23 .. 46  match: 14    SD: 4.0331 cents
 24 .. 48  match: 12    SD: 2.9556 cents
 25 .. 50  match: 14    SD: 3.2318 cents
 26 .. 52  match: 15    SD: 3.7828 cents
 27 .. 54  match: 16    SD: 3.2653 cents
 28 .. 56  match: 14    SD: 2.5677 cents
 29 .. 58  match: 14    SD: 3.0511 cents
 30 .. 60  match: 14    SD: 2.5888 cents
 31 .. 62  match: 13    SD: 3.2564 cents
 32 .. 64  match: 15    SD: 2.4495 cents
 33 .. 66  match: 15    SD: 2.8035 cents
 34 .. 68  match: 15    SD: 3.0882 cents
 35 .. 70  match: 16    SD: 2.6115 cents
 36 .. 72  match: 15    SD: 2.2453 cents
 37 .. 74  match: 13    SD: 2.8115 cents
 38 .. 76  match: 14    SD: 2.6753 cents
 39 .. 78  match: 15    SD: 2.2145 cents
 40 .. 80  match: 14    SD: 1.6478 cents
 41 .. 82  match: 15    SD: 1.9986 cents
 42 .. 84  match: 16    SD: 1.9407 cents
 44 .. 88  match: 15    SD: 1.8400 cents
 45 .. 90  match: 14    SD: 1.6573 cents
 46 .. 92  match: 15    SD: 2.3381 cents
 47 .. 94  match: 15    SD: 2.1224 cents
 48 .. 96  match: 15    SD: 1.3672 cents
 52 .. 104  match: 15    SD: 1.7149 cents
 53 .. 106  match: 15    SD: 1.9907 cents
 54 .. 108  match: 15    SD: 1.6819 cents
 55 .. 110  match: 15    SD: 1.2096 cents
 56 .. 112  match: 15    SD: 1.4869 cents
 57 .. 114  match: 16    SD: 1.2357 cents
 61 .. 122  match: 15    SD: 1.6686 cents
 62 .. 124  match: 15    SD: 1.6882 cents
 63 .. 126  match: 15    SD: 1.5169 cents
 64 .. 128  match: 16    SD: 1.2094 cents
 69 .. 138  match: 15    SD: 1.3062 cents
 70 .. 140  match: 15    SD: 1.1386 cents
 71 .. 142  match: 15    SD: 1.1544 cents
 72 .. 144  match: 16    SD: 1.0843 cents
 77 .. 154  match: 15    SD: 1.3498 cents
 78 .. 156  match: 15    SD: 1.2533 cents
 79 .. 158  match: 16    SD: 1.2503 cents
 80 .. 160  match: 16    SD: 0.7962 cents
 85 .. 170  match: 15    SD: 1.0174 cents
 86 .. 172  match: 15    SD: 1.1462 cents
 87 .. 174  match: 16    SD: 0.9511 cents
 90 .. 180  match: 16    SD: 0.8922 cents
 93 .. 186  match: 15    SD: 1.0267 cents
 95 .. 190  match: 16    SD: 0.9093 cents
 96 .. 192  match: 16    SD: 0.5787 cents
 101 .. 202  match: 15    SD: 1.0858 cents
 102 .. 204  match: 16    SD: 0.9366 cents
 103 .. 206  match: 16    SD: 0.8493 cents
 105 .. 210  match: 16    SD: 0.6732 cents
 112 .. 224  match: 16    SD: 0.4843 cents
 144 .. 288  match: 16    SD: 0.4721 cents
 153 .. 306  match: 16    SD: 0.4599 cents
 160 .. 320  match: 16    SD: 0.3768 cents
 192 .. 384  match: 16    SD: 0.3587 cents
 195 .. 390  match: 16    SD: 0.3442 cents
 208 .. 416  match: 16    SD: 0.3078 cents
 224 .. 448  match: 16    SD: 0.2553 cents
 240 .. 480  match: 16    SD: 0.1278 cents
 448 .. 896  match: 16    SD: 0.1255 cents
 480 .. 960  match: 16    SD: 0.1037 cents
 560 .. 1120  match: 16    SD: 0.0708 cents