Scala analysis: cpak15

optimal tetrad pack 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:         35/32            155.139620 septimal neutral second
  3:          9/8             203.910002 major whole tone
  4:         49/40            351.338099 larger approximation to neutral third
  5:          5/4             386.313714 major third
  6:         21/16            470.780907 narrow fourth
  7:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  8:         35/24            653.184619 septimal semi-diminished fifth
  9:          3/2             701.955001 perfect fifth
 10:         63/40            786.422194 narrow minor sixth
 11:        105/64            857.094621 septimal neutral sixth
 12:          7/4             968.825906 harmonic seventh
 13:        147/80           1053.293100
 14:         15/8            1088.268715 classic major seventh
 15:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         16/15            111.7313 minor diatonic semitone
  1:         21/20             84.4672 minor semitone
  2:         25/24             70.6724 classic chromatic semitone, minor chroma
  3:         36/35             48.7704 septimal diesis, 1/4-tone
  4:         49/45            147.4281 BP minor semitone
  5:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
  6:         21/20             84.4672 minor semitone
  7:         16/15            111.7313 minor diatonic semitone
  8:         25/24             70.6724 classic chromatic semitone, minor chroma
  9:         36/35             48.7704 septimal diesis, 1/4-tone
 10:         21/20             84.4672 minor semitone
 11:         25/24             70.6724 classic chromatic semitone, minor chroma
 12:         16/15            111.7313 minor diatonic semitone
 13:         21/20             84.4672 minor semitone
 14:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 15:         16/15            111.7313 minor diatonic semitone
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   2 50/49               34.976 cents   Erlich's decatonic comma, tritonic diesis
  1:   2 36/35               48.770 cents   septimal diesis, 1/4-tone
  1:   3 25/24               70.672 cents   classic chromatic semitone, minor chroma
  1:   4 21/20               84.467 cents   minor semitone
  1:   3 16/15               111.731 cents  minor diatonic semitone
  1:   1 49/45               147.428 cents  BP minor semitone
  2:   4 15/14               119.443 cents  major diatonic semitone
  2:   1 27/25               133.238 cents  large limma, BP small semitone, Zarlino semitone
  2:   1 160/147             146.707 cents  
  2:   2 35/32               155.140 cents  septimal neutral second
  2:   3 10/9                182.404 cents  minor whole tone
  2:   4 28/25               196.198 cents  middle second
  3:   3 9/8                 203.910 cents  major whole tone
  3:   6 8/7                 231.174 cents  septimal whole tone
  3:   6 7/6                 266.871 cents  septimal minor third
  4:   1 75/64               274.582 cents  classic augmented second
  4:   4 25/21               301.847 cents  BP second, quasi-equal minor third
  4:   6 6/5                 315.641 cents  minor third
  4:   1 128/105             342.905 cents  septimal neutral third
  4:   2 49/40               351.338 cents  larger approximation to neutral third
  4:   1 56/45               378.602 cents  septimal narrow major third
  5:   2 60/49               350.617 cents  smaller approximation to neutral third
  5:   6 5/4                 386.314 cents  major third
  5:   2 63/50               400.108 cents  quasi-equal major third
  5:   1 80/63               413.578 cents  wide major third
  5:   2 32/25               427.373 cents  classic diminished fourth
  5:   1 35/27               449.275 cents  septimal semi-diminished fourth, 9/4-tone
  5:   1 98/75               463.069 cents  
  6:   3 9/7                 435.084 cents  septimal major third, BP third
  6:   3 21/16               470.781 cents  narrow fourth
  6:   9 4/3                 498.045 cents  perfect fourth
  7:   2 75/56               505.757 cents  marvelous fourth
  7:   1 200/147             533.021 cents  
  7:   3 48/35               546.815 cents  septimal semi-augmented fourth
  7:   2 25/18               568.717 cents  classic augmented fourth
  7:   7 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  8:   7 10/7                617.488 cents  Euler's tritone
  8:   2 36/25               631.283 cents  classic diminished fifth
  8:   3 35/24               653.185 cents  septimal semi-diminished fifth
  8:   1 147/100             666.979 cents  
  8:   2 112/75              694.243 cents  marvelous fifth
  9:   9 3/2                 701.955 cents  perfect fifth
  9:   3 32/21               729.219 cents  wide fifth
  9:   3 14/9                764.916 cents  septimal minor sixth
 10:   1 75/49               736.931 cents  BP fifth
 10:   1 54/35               750.725 cents  septimal semi-augmented fifth
 10:   2 25/16               772.627 cents  classic augmented fifth
 10:   1 63/40               786.422 cents  narrow minor sixth
 10:   2 100/63              799.892 cents  quasi-equal minor sixth
 10:   6 8/5                 813.686 cents  minor sixth
 10:   2 49/30               849.383 cents  larger approximation to neutral 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:   1 105/64              857.095 cents  septimal neutral sixth
 11:   6 5/3                 884.359 cents  major sixth, BP sixth
 11:   4 42/25               898.153 cents  quasi-equal major sixth
 11:   1 128/75              925.418 cents  diminished seventh
 12:   6 12/7                933.129 cents  septimal major sixth
 12:   6 7/4                 968.826 cents  harmonic seventh
 12:   3 16/9                996.090 cents  Pythagorean minor seventh
 13:   4 25/14               1003.802 cents middle minor seventh
 13:   3 9/5                 1017.596 cents just minor seventh, BP seventh
 13:   2 64/35               1044.860 cents septimal neutral seventh
 13:   1 147/80              1053.293 cents 
 13:   1 50/27               1066.762 cents grave major seventh
 13:   4 28/15               1080.557 cents grave major seventh
 14:   1 90/49               1052.572 cents 
 14:   3 15/8                1088.269 cents classic major seventh
 14:   4 40/21               1115.533 cents acute major seventh
 14:   3 48/25               1129.328 cents classic diminished octave
 14:   2 35/18               1151.230 cents septimal semi-diminished octave
 14:   2 49/25               1165.024 cents BP eighth
Highest number of different intervals for one interval class: 7
Average number of different intervals per interval class: 5.14286 = 36/7
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10    11    12    13     14     15    
 0.0   : 84.5  155.1 203.9 351.3 386.3 470.8 582.5 653.2 702.0 786.4 857.1 968.8 1053.3 1088.3 1200.0
 84.5  : 70.7  119.4 266.9 301.8 386.3 498.0 568.7 617.5 702.0 772.6 884.4 968.8 1003.8 1115.5 1200.0
 155.1 : 48.8  196.2 231.2 315.6 427.4 498.0 546.8 631.3 702.0 813.7 898.2 933.1 1044.9 1129.3 1200.0
 203.9 : 147.4 182.4 266.9 378.6 449.3 498.0 582.5 653.2 764.9 849.4 884.4 996.1 1080.6 1151.2 1200.0
 351.3 : 35.0  119.4 231.2 301.8 350.6 435.1 505.8 617.5 702.0 736.9 848.7 933.1 1003.8 1052.6 1200.0
 386.3 : 84.5  196.2 266.9 315.6 400.1 470.8 582.5 667.0 702.0 813.7 898.2 968.8 1017.6 1165.0 1200.0
 470.8 : 111.7 182.4 231.2 315.6 386.3 498.0 582.5 617.5 729.2 813.7 884.4 933.1 1080.6 1115.5 1200.0
 582.5 : 70.7  119.4 203.9 274.6 386.3 470.8 505.8 617.5 702.0 772.6 821.4 968.8 1003.8 1088.3 1200.0
 653.2 : 48.8  133.2 203.9 315.6 400.1 435.1 546.8 631.3 702.0 750.7 898.2 933.1 1017.6 1129.3 1200.0
 702.0 : 84.5  155.1 266.9 351.3 386.3 498.0 582.5 653.2 702.0 849.4 884.4 968.8 1080.6 1151.2 1200.0
 786.4 : 70.7  182.4 266.9 301.8 413.6 498.0 568.7 617.5 764.9 799.9 884.4 996.1 1066.8 1115.5 1200.0
 857.1 : 111.7 196.2 231.2 342.9 427.4 498.0 546.8 694.2 729.2 813.7 925.4 996.1 1044.9 1129.3 1200.0
 968.8 : 84.5  119.4 231.2 315.6 386.3 435.1 582.5 617.5 702.0 813.7 884.4 933.1 1017.6 1088.3 1200.0
 1053.3: 35.0  146.7 231.2 301.8 350.6 498.0 533.0 617.5 729.2 799.9 848.7 933.1 1003.8 1115.5 1200.0
 1088.3: 111.7 196.2 266.9 315.6 463.1 498.0 582.5 694.2 764.9 813.7 898.2 968.8 1080.6 1165.0 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  34.9756   .. 147.4281 cents      2401/2250, 112.4525 cents          50/49, 34.9756 cents
  2:  119.4428  .. 196.1985 cents      392/375, 76.7557 cents             675/686,-27.9853 cents
  3:  203.9100  .. 266.8709 cents      28/27, 62.9609 cents               225/224, 7.7115 cents
  4:  274.5824  .. 378.6022 cents      3584/3375, 104.0198 cents          225/224, 7.7115 cents
  5:  350.6169  .. 463.0694 cents      2401/2250, 112.4525 cents          675/686,-27.9853 cents
  6:  435.0841  .. 498.0450 cents      28/27, 62.9609 cents               675/686,-27.9853 cents
  7:  505.7565  .. 582.5122 cents      392/375, 76.7557 cents             225/224, 7.7115 cents
  8:  617.4878  .. 694.2435 cents      392/375, 76.7557 cents             50/49, 34.9756 cents
  9:  701.9550  .. 764.9159 cents      28/27, 62.9609 cents               225/224, 7.7115 cents
 10:  736.9306  .. 849.3831 cents      2401/2250, 112.4525 cents          675/686,-27.9853 cents
 11:  821.3978  .. 925.4176 cents      3584/3375, 104.0198 cents          675/686,-27.9853 cents
 12:  933.1291  .. 996.0900 cents      28/27, 62.9609 cents               225/224, 7.7115 cents
 13:  1003.8015 .. 1080.5572 cents     392/375, 76.7557 cents             225/224, 7.7115 cents
 14:  1052.5719 .. 1165.0244 cents     2401/2250, 112.4525 cents          675/686,-27.9853 cents
SHOW DATA
Number of notes                     : 15
-- Interval properties --
Smallest interval                   : 50/49, 34.9756 cents, class 1
Average step (divided formal octave): 80.0000 cents
Largest one step interval           : 49/45, 147.4281 cents
Average / Smallest step             : 2.287308
Largest / Average step              : 1.842851
Largest / Smallest step             : 4.215168
Median interval of one step         : 21/20, 84.4672 cents, amount: 4
Most common interval of one step    : 21/20, 84.4672 cents, amount: 4
Least squares average step          : 79.54475 cents, oct.:  1193.17120 cents
Scale is not proper
Step pattern alph. order: ABCDEAFBCABFAEF
Step pattern size order : DCBFADECBDCEDAE
Scale is a Constant Structure, by a margin of 0.72120 cents
Scale diversity                     : 1.481829
Lumma stability                     : 0.125997
Lumma impropriety factor            : 0.139926
Number of different interval sizes  : 72 = 5.14286 / class
Number of one step interval sizes   : 6
Highest interval variety            : 7
Mean interval variety               : 5.14286 = 36/7
Median interval variety             : 3
Lowest interval variety             : 3
Smallest interval difference        : 2401/2400, 0.7212 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 9
Most common triad is 0.0 498.045 701.955 cents, amount: 3
Number of recognisable fifths       : 11, average 700.5529 cents
Length of longest harmonic part     : 1 at degree 0
Length of longest subharmonic part  : 1 at degree 0
Formal octave complements present   : 1 = 6.6667%
Scale is n-1 differentially coherent in interval class 1
Scale is differentially coherent in interval classes 2 and 3 combined
Scale is differentially coherent in interval class 3
Scale is n-1 differentially coherent in interval classes 6 and 7 combined
-- Rational properties --
Prime limit                         : 7
Odd number limit                    : 147 (O: 147 U: 147)
Highest odd numerator or denominator: 147
Scale harmonicity                   : 0.020673
Average absolute harmonicity        : 0.138343
Specific harmonicity                : 0.119043
Fundamental                         : 1/960, -9.9069 octaves, 0.2725 Hz.
Guide tone                          : 4410,  12.1066 octaves, 1153768.743 Hz.
Exponens Consonantiae               : 4.233600E+06, 22.01345 octaves
Euler's gradus suavitatis           : 34
Sum of Mann's harmonic distance     : 436.0, average 29.06667
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 18.40724, average 1.22715
Sum of Tenney's harmonic distance   : 35.02247, average 2.33483
Vogel's harmonic complexity         : 18.73333
Wille's k value                     : 787
Wilson's harmonic complexity        : 33
Rectangular lattice diameter        : 7
Triangular lattice diameter         : 3
Lattice compactness                 : 360.60919, average 3.00508
Lattice compactness (without 2's)   : 213.81277, average 1.78177
Number of different primes          : 4
Prime exponents' range, average, count, tones@limit:
  2:  -6 .. 1        -2.66667   42    1
  3:  -1 .. 2         0.60000   11    2
  5:  -1 .. 1         0.00000   10    2
  7:   0 .. 2         0.80000   12    10
Average exponent except 2's         : 21 / 15 = 1.40000
Average absolute exponent except 2's: 33 / 15 = 2.20000
Scale is weakly epimorphic with val: <15 22 36 41|
Scale is weakly epimorphic with val: <15 24 32 42|
Scale is weakly epimorphic with val: <15 24 34 42|
Scale is JI-epimorphic with val: <15 24 35 42| = patent
Scale is weakly epimorphic with val: <15 24 37 42|
Scale is weakly epimorphic with val: <15 24 38 42|
Scale is weakly epimorphic with val: <15 26 33 43|
Scale is weakly epimorphic with val: <15 26 38 43|
FIT/MODE
 15:  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 19.2825 c. M:-36.0900 c. 
 17:  1 1 1 2 0 2 1 1 1 1 1 2 1 0 2   N   D3   SD: 16.8064 c. M: 33.3725 c. 
 18:  1 1 1 2 1 1 2 1 1 1 1 2 1 0 2   N   D3   SD: 17.7042 c. M:-31.3783 c. 
 20:  1 2 0 3 0 2 2 1 1 1 1 2 2 0 2   N        SD: 17.3430 c. M:-26.7069 c. 
 21:  1 2 0 3 1 1 2 1 1 2 1 2 1 1 2   N        SD: 16.9577 c. M: 32.4814 c. 
 22:  2 1 1 3 0 2 2 1 1 2 1 2 1 1 2   N        SD: 16.9521 c. M:-31.7596 c. 
 23:  2 1 1 3 0 2 2 2 0 2 1 3 1 1 2   N        SD: 15.2575 c. M:-25.0763 c. 
 24:  2 1 1 3 1 1 3 1 1 2 1 2 2 1 2   N        SD: 11.4347 c. M: 20.7809 c. 
 25:  2 1 1 3 1 2 2 2 1 1 2 2 2 1 2   N        SD: 12.0176 c. M:-18.8154 c. 
 28:  2 2 1 3 1 2 3 1 1 2 2 3 2 0 3   N        SD: 12.2366 c. M:-18.1355 c. 
 29:  2 2 1 3 1 2 3 2 1 2 2 2 2 1 3   N   T3   SD: 11.5505 c. M: 20.3036 c. 
 31:  2 2 1 4 1 2 3 2 1 2 2 3 2 1 3   N        SD: 5.9221 c. M: 12.2286 c. 
 41:  3 2 2 5 1 3 4 2 2 3 2 4 3 1 4   N        SD: 4.7986 c. M: 9.2822 c. 
 53:  4 3 2 7 1 4 5 3 2 4 3 5 4 1 5   N        SD: 5.3628 c. M:-10.9261 c. 
 55:  4 3 2 7 2 4 5 3 2 4 3 5 4 2 5   N        SD: 5.3009 c. M:-9.2191 c. 
 57:  4 3 3 7 1 4 6 3 2 4 4 5 4 2 5   N        SD: 5.7477 c. M: 7.7712 c. 
 59:  4 4 2 7 2 4 6 3 3 4 3 6 4 2 5   N        SD: 5.7378 c. M:-10.0364 c. 
 61:  4 4 2 8 2 4 6 3 3 4 4 5 5 1 6   N        SD: 5.6608 c. M:-9.0020 c. 
 64:  5 3 3 8 2 4 6 4 3 4 4 6 4 2 6   N        SD: 5.1880 c. M:-10.5450 c. 
 66:  5 4 2 8 2 5 6 4 3 4 4 6 5 2 6   N        SD: 4.5020 c. M:-8.4967 c. 
 68:  5 4 3 8 2 5 6 4 3 5 4 6 5 2 6   N        SD: 4.6809 c. M:-7.8547 c. 
 72:  5 4 3 9 2 5 7 4 3 5 4 7 5 2 7   N        SD: 3.5116 c. M: 7.0946 c. 
 81:  6 4 4 10 2 6 7 5 3 6 5 7 6 2 8   N        SD: 4.1273 c. M: 6.9915 c. 
 82:  6 5 3 10 2 6 8 5 3 6 5 7 6 2 8   N        SD: 3.7891 c. M:-6.3200 c. 
 84:  6 5 3 11 2 6 8 5 3 6 5 8 6 2 8   N        SD: 2.7531 c. M:-5.8048 c. 
 90:  6 6 3 11 3 6 9 5 4 6 5 9 6 3 8   N        SD: 3.6277 c. M:-5.0646 c. 
 94:  7 5 4 12 2 7 9 5 4 7 5 9 7 2 9   N        SD: 3.5192 c. M:-6.2814 c. 
 95:  7 5 4 12 3 6 9 6 4 6 6 9 6 3 9   N        SD: 3.4388 c. M:-5.4134 c. 
 99:  7 6 4 12 3 7 9 6 4 7 6 9 7 3 9   N        SD: 1.7169 c. M:-3.5114 c. 
 130: 9 8 5 16 4 9 12 8 5 9 8 12 9 4 12   N        SD: 1.1885 c. M:-2.2000 c. 
 140: 10 8 6 17 4 10 13 8 6 10 8 13 10 4 13   N        SD: 1.0362 c. M:-2.1492 c. 
 171: 12 10 7 21 5 12 16 10 7 12 10 16 12 5 16   N        SD: 0.5078 c. M: 0.9543 c. 
 270: 19 16 11 33 8 19 25 16 11 19 16 25 19 8 25   N        SD: 0.3501 c. M:-0.6832 c. 
 441: 31 26 18 54 13 31 41 26 18 31 26 41 31 13 41   N        SD: 0.1445 c. M: 0.3177 c. 
 966: 68 57 39 119 28 68 90 57 39 68 57 90 68 28 90   N        SD: 0.1199 c. M:-0.2315 c. 
 1106: 78 65 45 136 32 78 103 65 45 78 65 103 78 32 103   N        SD: 0.1165 c. M:-0.2331 c. 
 1137: 80 67 46 140 33 80 106 67 46 80 67 106 80 33 106   N        SD: 0.0997 c. M: 0.2161 c. 
 1236: 87 73 50 152 36 87 115 73 50 87 73 115 87 36 115   N        SD: 0.1102 c. M:-0.2134 c. 
 1277: 90 75 52 157 37 90 119 75 52 90 75 119 90 37 119   N        SD: 0.0819 c. M:-0.1133 c. 
 1407: 99 83 57 173 41 99 131 83 57 99 83 131 99 41 131   N        SD: 0.0530 c. M:-0.1203 c. 
 1578: 111 93 64 194 46 111 147 93 64 111 93 147 111 46 147   N        SD: 0.0555 c. M: 0.1104 c. 
 1718: 121 101 70 211 50 121 160 101 70 121 101 160 121 50 160   N        SD: 0.0478 c. M: 0.0996 c. 
 1848: 130 109 75 227 54 130 172 109 75 130 109 172 130 54 172   N        SD: 0.0413 c. M:-0.0621 c. 
FIT/HARMONIC
 1 x x x x x x x x x x x x x x 2  S SD: 0.0000 cents
 2 x x x x x x x x 3 x x x x x 4  S SD: 0.0000 cents
 3 x x x x x 4 x x x x 5 x x x 6  S SD: 12.8524 cents
 4 x x x x 5 x x x 6 x x 7 x x 8  S SD: 0.0000 cents
 5 x x x 6 x x 7 x x 8 x x 9 x 10  S SD: 11.4749 cents
 6 x x 7 x x 8 x x 9 x 10 x 11 x 12  S SD: 12.3223 cents
 7 x x 8 x x 9:10 x x 11 x 12 x 13:14  S SD: 9.9026 cents
 8 x x 9 x 10 x 11 x 12 x 13:14 x 15:16  S SD: 4.4151 cents
 9 x x 10:11 x 12 x 13 x 14:15:16 x 17:18  S SD: 6.6742 cents
 10 x 11 x 12 x 13:14 x 15:16 x x 18:19:20  S SD: 7.1918 cents
 11 x 12 x 13:14 x 15:16 x 17:18:19:20:21:22  S SD: 9.0291 cents
 12 x 13:14 x 15:16:17 x 18:19:20:21:22:23:24  S SD: 7.3085 cents
 13 x 14:15:16 x 17:18:19 x 20:21:23:24 x 26    SD: 6.9973 cents
 14:15 x 16:17 x 18:20 x 21:22:23:25 x 26:28    SD: 7.1664 cents
 15:16 x 17:18:19:20:21:22:23:24:25:26 x 28:30  S SD: 6.3506 cents
 16:17 x 18 x 20:21:22:23:24:25:26:28:29:30:32  S SD: 4.2416 cents
 17:18 x 19:21 x 22:24:25:26:27:28:30:31:32:34    SD: 4.4728 cents
 18:19 x 20:22:23:24:25:26:27:28:30:32:33:34:36  S SD: 5.2222 cents
 19:20:21 x 23:24:25:27:28:29:30:31:33:35:36:38    SD: 4.3152 cents
 20:21:22:23 x 25:26:28:29:30:32:33:35:37:38:40    SD: 4.1786 cents
 21:22:23:24 x 26:28:29:31:32:33:34:37 x 39:42    SD: 5.1515 cents
 22:23:24:25:27:28:29:31:32:33:35:36:39:40:41:44    SD: 3.5479 cents
 23:24:25:26:28:29:30:32:34:35:36:38:40:42:43:46    SD: 3.3800 cents
 24:25:26:27:29:30:32:34:35:36:38:39:42:44:45:48    SD: 3.3755 cents
 25:26:27:28 x 31:33:35:36:38:39:41:44:46:47:50    SD: 3.5777 cents
 27:28 x 30:33:34:35:38:39:41:43:44:47:50:51:54    SD: 4.1093 cents
 28:29:31:32:34:35:37:39:41:42:44:46:49:51:53:56    SD: 3.5078 cents
 29:30:32:33 x 36:38:41:42:44:46:48:51:53:54:58    SD: 3.8809 cents
 30:32:33:34:37:38:39:42:44:45:47:49:53:55:56:60    SD: 3.3515 cents
 31:33:34:35:38:39:41:43:45:47:49:51:54:57:58:62    SD: 2.7737 cents
 32:34:35:36:39:40:42:45:47:48:50:53:56:59:60:64    SD: 2.3129 cents
 39:41:43:44:48:49:51:55:57:59:61:64:68:72:73:78    SD: 2.1684 cents
 40:42:44:45:49:50:53:56:58:60:63:66:70:74:75:80    SD: 1.7640 cents
 48:50:53:54:59:60:63:67:70:72:76:79:84:88:90:96    SD: 1.6994 cents
 54:57:59:61:66:68:71:76:79:81:85:89:95:99:101:108    SD: 1.6599 cents
 55:58:60:62:67:69:72:77:80:83:87:90:96:101:103:110    SD: 1.4503 cents
 57:60:62:64:70:71:75:80:83:86:90:94:100:105:107:114    SD: 1.4365 cents
 61:64:67:69:75:76:80:85:89:92:96:100:107:112:114:122    SD: 1.3799 cents
 63:66:69:71:77:79:83:88:92:95:99:103:110:116:118:126    SD: 1.1665 cents
 64:67:70:72:78:80:84:90:93:96:101:105:112:118:120:128    SD: 1.0524 cents
 80:84:88:90:98:100:105:112:117:120:126:131:140:147:150:160    SD: 0.7677 cents
 96:101:105:108:118:120:126:134:140:144:151:158:168:176:180:192    SD: 0.7417 cents
 103:108:113:116:126:129:135:144:150:155:162:169:180:189:193:206    SD: 0.7344 cents
 116:122:127:131:142:145:152:162:169:174:183:190:203:213:218:232    SD: 0.7272 cents
 120:126:131:135:147:150:158:168:175:180:189:197:210:221:225:240    SD: 0.5059 cents
 159:167:174:179:195:199:209:223:232:239:250:261:278:292:298:318    SD: 0.4949 cents
 160:168:175:180:196:200:210:224:233:240:252:263:280:294:300:320    SD: 0.2747 cents
 240:252:263:270:294:300:315:336:350:360:378:394:420:441:450:480    SD: 0.2315 cents
 320:336:350:360:392:400:420:448:467:480:504:525:560:588:600:640    SD: 0.0824 cents
 480:504:525:540:588:600:630:672:700:720:756:788:840:882:900:960    SD: 0.0733 cents