Scala analysis: xen11-chalmers-tetrachordal-10-07

Stellated Hexany, Entry #1 of Table 7., 14 tones, Permuted Tetrachord

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         36/35             48.770381 septimal diesis, 1/4-tone
  2:       1296/1225           97.540763 two (septimal diesis, 1/4-tone)
  3:         16/15            111.731285 minor diatonic semitone
  4:        192/175           160.501667 septimal 4/5-tone
  5:        256/225           223.462571 Neapolitan diminished third
  6:          9/7             435.084095 septimal major third, BP third
  7:          4/3             498.044999 perfect fourth
  8:         48/35            546.815381 septimal semi-augmented fourth
  9:        112/81            561.005903
 10:         64/45            609.776284 2nd tritone
 11:        256/175           658.546666
 12:        288/175           862.456668
 13:         16/9             996.089998 Pythagorean minor seventh
 14:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:          9/8             203.9100 major whole tone
  1:         36/35             48.7704 septimal diesis, 1/4-tone
  2:         36/35             48.7704 septimal diesis, 1/4-tone
  3:        245/243            14.1905 minor BP diesis, Sensamagic comma
  4:         36/35             48.7704 septimal diesis, 1/4-tone
  5:         28/27             62.9609 Archytas' 1/3-tone
  6:       2025/1792          211.6215 
  7:         28/27             62.9609 Archytas' 1/3-tone
  8:         36/35             48.7704 septimal diesis, 1/4-tone
  9:        245/243            14.1905 minor BP diesis, Sensamagic comma
 10:         36/35             48.7704 septimal diesis, 1/4-tone
 11:         36/35             48.7704 septimal diesis, 1/4-tone
 12:          9/8             203.9100 major whole tone
 13:        175/162           133.6333 
 14:          9/8             203.9100 major whole tone
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   2 245/243             14.191 cents   minor BP diesis, Sensamagic comma
  1:   6 36/35               48.770 cents   septimal diesis, 1/4-tone
  1:   2 28/27               62.961 cents   Archytas' 1/3-tone
  1:   1 175/162             133.633 cents  
  1:   2 9/8                 203.910 cents  major whole tone
  1:   1 2025/1792           211.622 cents  
  2:   4 28/27               62.961 cents   Archytas' 1/3-tone
  2:   2 1296/1225           97.541 cents   two (septimal diesis, 1/4-tone)
  2:   2 16/15               111.731 cents  minor diatonic semitone
  2:   2 81/70               252.680 cents  Al-Hwarizmi's lute middle finger
  2:   2 75/64               274.582 cents  classic augmented second
  2:   2 175/144             337.543 cents  
  3:   4 16/15               111.731 cents  minor diatonic semitone
  3:   2 784/729             125.922 cents  two (Archytas' 1/3-tone)
  3:   2 1458/1225           301.451 cents  
  3:   2 135/112             323.353 cents  septimal wide minor third
  3:   1 175/144             337.543 cents  
  3:   2 5/4                 386.314 cents  major third
  3:   1 175/128             541.453 cents  
  4:   2 192/175             160.502 cents  septimal 4/5-tone
  4:   2 448/405             174.692 cents  
  4:   2 6/5                 315.641 cents  minor third
  4:   2 175/144             337.543 cents  
  4:   2 5/4                 386.314 cents  major third
  4:   2 9/7                 435.084 cents  septimal major third, BP third
  4:   2 45/32               590.224 cents  diatonic tritone
  5:   2 256/225             223.463 cents  Neapolitan diminished third
  5:   2 216/175             364.412 cents  
  5:   2 5/4                 386.314 cents  major third
  5:   2 1225/972            400.504 cents  
  5:   1 9/7                 435.084 cents  septimal major third, BP third
  5:   2 35/27               449.275 cents  septimal semi-diminished fourth, 9/4-tone
  5:   3 81/56               638.994 cents  
  6:   2 32/25               427.373 cents  classic diminished fourth
  6:   2 9/7                 435.084 cents  septimal major third, BP third
  6:   4 35/27               449.275 cents  septimal semi-diminished fourth, 9/4-tone
  6:   2 4/3                 498.045 cents  perfect fourth
  6:   2 35/24               653.185 cents  septimal semi-diminished fifth
  6:   2 729/490             687.764 cents  
  7:   1 8575/6561           463.465 cents  
  7:   4 4/3                 498.045 cents  perfect fourth
  7:   2 112/81              561.006 cents  
  7:   2 81/56               638.994 cents  
  7:   4 3/2                 701.955 cents  perfect fifth
  7:   1 13122/8575          736.535 cents  
  8:   2 980/729             512.236 cents  
  8:   2 48/35               546.815 cents  septimal semi-augmented fourth
  8:   2 3/2                 701.955 cents  perfect fifth
  8:   4 54/35               750.725 cents  septimal semi-augmented fifth
  8:   2 14/9                764.916 cents  septimal minor sixth
  8:   2 25/16               772.627 cents  classic augmented fifth
  9:   3 112/81              561.006 cents  
  9:   2 54/35               750.725 cents  septimal semi-augmented fifth
  9:   1 14/9                764.916 cents  septimal minor sixth
  9:   2 1944/1225           799.496 cents  
  9:   2 8/5                 813.686 cents  minor sixth
  9:   2 175/108             835.588 cents  
  9:   2 225/128             976.537 cents  augmented sixth
 10:   2 64/45               609.776 cents  2nd tritone
 10:   2 14/9                764.916 cents  septimal minor sixth
 10:   2 8/5                 813.686 cents  minor sixth
 10:   2 288/175             862.457 cents  
 10:   2 5/3                 884.359 cents  major sixth, BP sixth
 10:   2 405/224             1025.308 cents 
 10:   2 175/96              1039.498 cents 
 11:   1 256/175             658.547 cents  
 11:   2 8/5                 813.686 cents  minor sixth
 11:   1 288/175             862.457 cents  
 11:   2 224/135             876.647 cents  narrow septimal major sixth
 11:   2 1225/729            898.549 cents  two (septimal semi-diminished fourth, 9/4-tone)
 11:   2 729/392             1074.078 cents 
 11:   4 15/8                1088.269 cents classic major seventh
 12:   2 288/175             862.457 cents  
 12:   2 128/75              925.418 cents  diminished seventh
 12:   2 140/81              947.320 cents  
 12:   2 15/8                1088.269 cents classic major seventh
 12:   2 1225/648            1102.459 cents 
 12:   4 27/14               1137.039 cents septimal major seventh
 13:   1 3584/2025           988.378 cents  
 13:   2 16/9                996.090 cents  Pythagorean minor seventh
 13:   1 324/175             1066.367 cents 
 13:   2 27/14               1137.039 cents septimal major seventh
 13:   6 35/18               1151.230 cents septimal semi-diminished octave
 13:   2 486/245             1185.809 cents 
Highest number of different intervals for one interval class: 7
Average number of different intervals per interval class: 6.46154 = 84/13
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12     13     14    
 0.0   : 48.8  97.5  111.7 160.5 223.5 435.1 498.0 546.8 561.0 609.8  658.5  862.5  996.1  1200.0
 48.8  : 48.8  63.0  111.7 174.7 386.3 449.3 498.0 512.2 561.0 609.8  813.7  947.3  1151.2 1200.0
 97.5  : 14.2  63.0  125.9 337.5 400.5 449.3 463.5 512.2 561.0 764.9  898.5  1102.5 1151.2 1200.0
 111.7 : 48.8  111.7 323.4 386.3 435.1 449.3 498.0 546.8 750.7 884.4  1088.3 1137.0 1185.8 1200.0
 160.5 : 63.0  274.6 337.5 386.3 400.5 449.3 498.0 702.0 835.6 1039.5 1088.3 1137.0 1151.2 1200.0
 223.5 : 211.6 274.6 323.4 337.5 386.3 435.1 639.0 772.6 976.5 1025.3 1074.1 1088.3 1137.0 1200.0
 435.1 : 63.0  111.7 125.9 174.7 223.5 427.4 561.0 764.9 813.7 862.5  876.6  925.4  988.4  1200.0
 498.0 : 48.8  63.0  111.7 160.5 364.4 498.0 702.0 750.7 799.5 813.7  862.5  925.4  1137.0 1200.0
 546.8 : 14.2  63.0  111.7 315.6 449.3 653.2 702.0 750.7 764.9 813.7  876.6  1088.3 1151.2 1200.0
 561.0 : 48.8  97.5  301.5 435.1 639.0 687.8 736.5 750.7 799.5 862.5  1074.1 1137.0 1185.8 1200.0
 609.8 : 48.8  252.7 386.3 590.2 639.0 687.8 702.0 750.7 813.7 1025.3 1088.3 1137.0 1151.2 1200.0
 658.5 : 203.9 337.5 541.5 590.2 639.0 653.2 702.0 764.9 976.5 1039.5 1088.3 1102.5 1151.2 1200.0
 862.5 : 133.6 337.5 386.3 435.1 449.3 498.0 561.0 772.6 835.6 884.4  898.5  947.3  996.1  1200.0
 996.1 : 203.9 252.7 301.5 315.6 364.4 427.4 639.0 702.0 750.7 764.9  813.7  862.5  1066.4 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  14.1905   .. 211.6215 cents      98415/87808, 197.4310 cents        245/243, 14.1905 cents
  2:  62.9609   .. 337.5433 cents      75/64, 274.5824 cents              50176/54675,-148.6606 cents
  3:  111.7313  .. 541.4533 cents      2625/2048, 429.7220 cents          768/875,-225.8120 cents
  4:  160.5017  .. 590.2237 cents      2625/2048, 429.7220 cents          24576/30625,-380.9517 cents
  5:  223.4626  .. 638.9941 cents      18225/14336, 415.5315 cents        8192/10125,-366.7611 cents
  6:  427.3726  .. 687.7645 cents      3645/3136, 260.3919 cents          1792/2025,-211.6215 cents
  7:  463.4651  .. 736.5349 cents      86093442/73530625, 273.0697 cents  4201750/4782969,-224.2993 cents
  8:  512.2355  .. 772.6274 cents      3645/3136, 260.3919 cents          4201750/4782969,-224.2993 cents
  9:  561.0059  .. 976.5374 cents      18225/14336, 415.5315 cents        1792/2025,-211.6215 cents
 10:  609.7763  .. 1039.4983 cents     2625/2048, 429.7220 cents          8192/10125,-366.7611 cents
 11:  658.5467  .. 1088.2687 cents     2625/2048, 429.7220 cents          24576/30625,-380.9517 cents
 12:  862.4567  .. 1137.0391 cents     75/64, 274.5824 cents              768/875,-225.8120 cents
 13:  988.3785  .. 1185.8095 cents     98415/87808, 197.4310 cents        50176/54675,-148.6606 cents
SHOW DATA
Number of notes                     : 14
-- Interval properties --
Smallest interval                   : 245/243, 14.1905 cents, class 1
Average step (divided formal octave): 85.7143 cents
Largest one step interval           : 2025/1792, 211.6215 cents
Average / Smallest step             : 6.040249
Largest / Average step              : 2.468918
Largest / Smallest step             : 14.912878
Median interval of one step         : 36/35, 48.7704 cents, amount: 6
Most common interval of one step    : 36/35, 48.7704 cents, amount: 6
Least squares average step          : 70.24550 cents, oct.:  983.43706 cents
Scale is not proper
Step pattern alph. order: AABACDCABAAEFE
Step pattern size order : BBABCFCBABBEDE
Scale is not a Constant Structure
Scale diversity                     : 1.496744
Lumma stability                     : 0.023651
Lumma impropriety factor            : 0.895065
Number of different interval sizes  : 62 = 4.76923 / class
Number of one step interval sizes   : 6
Highest interval variety            : 7
Mean interval variety               : 6.46154 = 84/13
Median interval variety             : 6
Lowest interval variety             : 6
Smallest interval difference        : 6144/6125, 5.3620 cents
Number of recognisable fifths       : 8, average 698.4074 cents
Number of appreciable fifths        : 6, average 701.9550 cents
Length of longest harmonic part     : 1 at degree 0
Length of longest subharmonic part  : 1 at degree 0
Formal octave complements present   : 1 = 7.1429%
Limited inverse transpositions      :
 11
Inversional symmetry on intervals   :
 5-6 12-13
-- Rational properties --
Prime limit                         : 7
Odd number limit                    : 8575 (O: 8575 U: 8575)
Highest odd numerator or denominator: 1225
Scale harmonicity                   : 0.013700
Average absolute harmonicity        : 0.128255
Specific harmonicity                : 0.089655
Fundamental                         : 1/99225, -16.5984 octaves, 0.0026 Hz.
Guide tone                          : 145152,  17.1472 octaves, 37975474.055 Hz.
Exponens Consonantiae               : 1.440271E+10, 33.74562 octaves
Euler's gradus suavitatis           : 51
Sum of Mann's harmonic distance     : 2400.5, average 171.46429
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 22.38096, average 1.59864
Sum of Tenney's harmonic distance   : 46.30211, average 3.30729
Vogel's harmonic complexity         : 31.64286
Wille's k value                     : 63787
Wilson's harmonic complexity        : 55
Rectangular lattice diameter        : 13
Triangular lattice diameter         : 8
Lattice compactness                 : 475.85419, average 4.53194
Lattice compactness (without 2's)   : 309.47480, average 2.94738
Number of different primes          : 4
Prime exponents' range, average, count, tones@limit:
  2:   0 .. 8         4.14286   58    1
  3:  -4 .. 4         0.00000   24    2
  5:  -2 .. 0        -1.00000   14    3
  7:  -2 .. 1        -0.50000   9     8
Average exponent except 2's         :-21 / 14 =-1.50000
Average absolute exponent except 2's: 47 / 14 = 3.35714
Scale is weakly epimorphic with val: <14 22 30 41|
Scale is weakly epimorphic with val: <14 23 31 37|
Scale is weakly epimorphic with val: <14 23 34 37|
Scale is weakly epimorphic with val: <14 24 31 39|
Scale is weakly epimorphic with val: <14 24 34 39|
FIT/MODE
 14:  1 0 0 1 1 2 1 0 1 0 1 2 2 2   N        SD: 24.2564 c. M:-38.9941 c. 
 15:  0 1 0 1 1 2 1 1 0 0 1 3 1 3   N        SD: 26.8994 c. M: 49.7763 c. 
 16:  1 0 0 1 1 3 1 0 0 1 1 2 2 3   N        SD: 23.2892 c. M: 37.4567 c. 
 17:  1 0 1 0 1 3 1 1 0 1 0 3 2 3   N        SD: 18.0339 c. M:-29.4452 c. 
 20:  1 1 0 1 1 3 1 1 0 1 1 3 3 3   N        SD: 15.9622 c. M:-23.9100 c. 
 22:  1 1 0 1 1 4 1 1 0 1 1 4 2 4   N        SD: 8.1436 c. M: 15.5514 c. 
 36:  1 2 0 2 2 6 2 1 1 1 2 6 4 6   N        SD: 8.1619 c. M: 15.4370 c. 
 38:  2 1 1 1 2 7 2 1 1 1 2 6 5 6   N        SD: 8.9355 c. M:-14.5845 c. 
 41:  2 2 0 2 2 7 2 2 0 2 2 7 4 7   N        SD: 10.1958 c. M:-19.5324 c. 
 42:  2 1 1 2 2 7 2 2 1 1 2 7 5 7   N        SD: 7.6617 c. M: 12.3307 c. 
 43:  2 2 0 2 2 8 2 2 0 2 2 7 5 7   N        SD: 7.5846 c. M:-14.0871 c. 
 44:  2 2 0 2 2 8 2 2 1 1 2 8 5 7   N        SD: 7.5087 c. M:-13.0009 c. 
 46:  2 2 0 2 3 8 2 2 1 1 2 8 5 8   N        SD: 6.8756 c. M:-12.9071 c. 
 47:  2 2 0 2 3 8 3 1 1 2 2 8 5 8   N        SD: 6.2911 c. M:-12.5933 c. 
 49:  2 2 1 2 2 9 2 2 1 2 2 8 6 8   N        SD: 6.0935 c. M:-10.9269 c. 
 52:  2 2 1 2 3 9 3 2 0 2 3 8 6 9   N        SD: 6.5758 c. M:-10.6841 c. 
 53:  2 2 1 2 3 9 3 2 1 2 2 9 6 9   N        SD: 3.2429 c. M: 6.9747 c. 
 75:  3 3 1 3 4 13 4 3 1 3 3 13 8 13   N        SD: 1.9814 c. M: 4.0900 c. 
 96:  4 4 1 4 5 17 5 4 1 4 4 16 11 16   N        SD: 2.3127 c. M:-3.9533 c. 
 118: 5 5 1 5 6 21 6 5 1 5 5 20 13 20   N        SD: 1.8917 c. M:-4.1542 c. 
 128: 5 5 2 5 7 22 7 5 2 5 5 22 14 22   N        SD: 2.0839 c. M: 3.8341 c. 
 139: 6 5 2 6 7 24 8 5 2 6 5 24 15 24   N        SD: 2.4570 c. M:-3.5271 c. 
 140: 6 5 2 6 7 25 7 6 1 6 6 24 15 24   N        SD: 2.1407 c. M: 3.8630 c. 
 147: 6 6 2 6 7 26 8 6 2 6 6 25 16 25   N        SD: 2.0029 c. M: 3.0544 c. 
 149: 6 6 2 6 8 26 8 6 2 6 6 25 17 25   N        SD: 1.5201 c. M:-2.7525 c. 
 171: 7 7 2 7 9 30 9 7 2 7 7 29 19 29   N        SD: 0.6480 c. M:-1.1025 c. 
 246: 10 10 3 10 13 43 13 10 3 10 10 42 27 42   N        SD: 0.5667 c. M: 0.9680 c. 
 323: 13 13 4 13 17 57 17 13 4 13 13 55 36 55   N        SD: 0.5591 c. M: 0.9615 c. 
 366: 15 15 4 15 19 65 19 15 4 15 15 62 41 62   N        SD: 0.5037 c. M:-0.9815 c. 
 417: 17 17 5 17 22 73 22 17 5 17 17 71 46 71   N        SD: 0.4876 c. M:-0.9979 c. 
 419: 17 17 5 17 22 74 22 17 5 17 17 71 47 71   N        SD: 0.2561 c. M:-0.5687 c. 
 441: 18 18 5 18 23 78 23 18 5 18 18 75 49 75   N        SD: 0.2377 c. M: 0.4617 c. 
 494: 20 20 6 20 26 87 26 20 6 20 20 84 55 84   N        SD: 0.1815 c. M: 0.3748 c. 
 665: 27 27 8 27 35 117 35 27 8 27 27 113 74 113   N        SD: 0.1347 c. M:-0.2968 c. 
 860: 35 35 10 35 45 152 45 35 10 35 35 146 96 146   N        SD: 0.1321 c. M:-0.2647 c. 
 935: 38 38 11 38 49 165 49 38 11 38 38 159 104 159   N        SD: 0.0987 c. M: 0.1542 c. 
 1106: 45 45 13 45 58 195 58 45 13 45 45 188 123 188   N        SD: 0.0586 c. M:-0.1111 c. 
 1525: 62 62 18 62 80 269 80 62 18 62 62 259 170 259   N        SD: 0.0517 c. M:-0.1067 c. 
 1600: 65 65 19 65 84 282 84 65 19 65 65 272 178 272   N        SD: 0.0464 c. M: 0.0900 c. 
 2019: 82 82 24 82 106 356 106 82 24 82 82 343 225 343   N        SD: 0.0350 c. M: 0.0668 c. 
FIT/HARMONIC
 1 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 x x 3 x x 4  S SD: 21.7042 cents
 3 x x x x x x 4 x x x x 5 x 6  S SD: 7.3007 cents
 4 x x x x x 5 x x x x 6 x 7:8  S SD: 17.6886 cents
 5 x x x x 6 x x x 7 x x 8:9:10  S SD: 21.7260 cents
 6 x x x x 7 x 8 x x x 9:10:11:12  S SD: 14.0300 cents
 7 x x x x 8:9 x x x 10 x x 12:14  S SD: 12.7797 cents
 8 x x x x 9:10 x 11 x x 12:13:14:16  S SD: 10.9634 cents
 9 x x x 10 x x 12 x x x 13:15:16:18    SD: 6.3252 cents
 10 x x x 11 x 13 x x 14 x 15:16:18:20    SD: 10.6657 cents
 11 x x x 12:13:14 x 15 x x 16:18:20:22  S SD: 10.1045 cents
 12 x x x 13:14:15:16 x x 17:18:20:21:24  S SD: 9.8739 cents
 13 x x 14 x 15:17 x x 18 x 19:21:23:26    SD: 6.6611 cents
 14 x x 15 x 16:18 x 19 x 20 x 23:25:28    SD: 2.9988 cents
 15 x x 16 x 17:19:20 x 21 x 22:25:27:30    SD: 5.1384 cents
 16 x x 17 x 18 x 21:22 x 23 x 26:28:32    SD: 6.5648 cents
 17 x 18 x x 19:22 x 23 x 24:25:28:30:34    SD: 5.0285 cents
 18 x 19 x 20 x 23:24 x 25 x 26:30:32:36    SD: 4.4861 cents
 19 x 20 x 21:22:24:25:26 x 27:28:31:34:38    SD: 5.1072 cents
 20 x 21 x 22:23:26:27 x 28 x 29:33:36:40    SD: 5.0406 cents
 21 x 22 x 23:24:27:28 x 29:30:31:35:37:42    SD: 3.3887 cents
 22 x 23 x 24:25:28:29:30 x 31:32:36:39:44    SD: 3.8571 cents
 23 x 24 x 25:26:30:31 x 32:33:34:38:41:46    SD: 4.6975 cents
 24:25 x x 26:27:31:32:33 x 34:35:40:43:48    SD: 4.2280 cents
 25:26 x 27 x 28:32:33:34:35:36:37:41:44:50    SD: 5.1470 cents
 26:27 x 28:29:30:33:35 x 36:37:38:43:46:52    SD: 4.4709 cents
 27:28 x 29:30:31:35:36:37 x 38:40:44:48:54    SD: 4.0586 cents
 28:29 x 30:31:32:36:37:38:39:40:41:46:50:56    SD: 2.8470 cents
 29:30 x 31:32:33:37:39 x 40:41:42:48:52:58    SD: 3.0654 cents
 30:31 x 32:33:34:39:40:41 x 43:44:49:53:60    SD: 2.6652 cents
 31:32 x 33:34:35:40:41 x 43:44:45:51:55:62    SD: 2.2007 cents
 32:33 x 34:35:36:41:43:44 x 46:47:53:57:64    SD: 2.9337 cents
 33:34:35 x 36:38:42:44:45:46:47:48:54:59:66    SD: 2.9344 cents
 34:35:36 x 37:39:44:45 x 47:48:50:56:60:68    SD: 2.7681 cents
 35:36:37 x 38:40:45:47:48 x 50:51:58:62:70    SD: 2.3994 cents
 36:37:38 x 40:41:46:48:49:50:51:53:59:64:72    SD: 2.5102 cents
 37:38:39 x 41:42:48:49 x 51:53:54:61:66:74    SD: 2.6114 cents
 39:40:41:42:43:44:50:52:53:54:55:57:64:69:78    SD: 2.5711 cents
 40:41:42:43:44:46:51:53:55 x 57:59:66:71:80    SD: 2.8189 cents
 41:42:43:44:45:47:53:55:56:57:58:60:67:73:82    SD: 2.4072 cents
 42:43:44:45:46:48:54:56 x 58:60:61:69:75:84    SD: 2.1336 cents
 43:44:45:46:47:49:55:57:59 x 61:63:71:76:86    SD: 2.2484 cents
 44:45 x 47:48:50:57:59:60:61:63:64:72:78:88    SD: 2.3644 cents
 45:46 x 48:49:51:58:60 x 62:64:66:74:80:90    SD: 1.6882 cents
 46:47 x 49:50:52:59:61:63:64:65:67:76:82:92    SD: 2.4353 cents
 47:48 x 50:52:53:60:63:64:65:67:69:77:84:94    SD: 2.6769 cents
 48:49 x 51:53:55:62:64:66 x 68:70:79:85:96    SD: 2.1935 cents
 49:50:52 x 54:56:63:65:67:68:70:72:81:87:98    SD: 1.9847 cents
 50:51:53 x 55:57:64:67 x 69:71:73:82:89:100    SD: 1.7835 cents
 51:52:54 x 56:58:66:68:70:71:73:75:84:91:102    SD: 2.1082 cents
 52:53:55 x 57:59:67:69:71:72:74:76:86:92:104    SD: 1.8343 cents
 53:55:56:57:58:60:68:71 x 73:75:78:87:94:106    SD: 2.2873 cents
 54:56:57:58:59:61:69:72:74:75:77:79:89:96:108    SD: 1.9821 cents
 56:58:59:60:61:64:72:75:77 x 80:82:92:100:112    SD: 2.0054 cents
 57:59:60:61:63:65:73:76:78:79:81:83:94:101:114    SD: 1.7410 cents
 58:60:61:62:64:66:75:77 x 80:82:85:95:103:116    SD: 1.9981 cents
 59:61:62:63:65:67:76:79:81:82:84:86:97:105:118    SD: 1.5597 cents
 60:62:63:64:66:68:77:80:82:83:85:88:99:107:120    SD: 1.5384 cents
 61:63 x 65:67:69:78:81:84 x 87:89:100:108:122    SD: 1.8448 cents
 62:64 x 66:68:71:80:83:85:86:88:91:102:110:124    SD: 1.4424 cents
 63:65 x 67:69:72:81:84:86:87:90:92:104:112:126    SD: 1.3100 cents
 64:66 x 68:70:73:82:85:88 x 91:94:105:114:128    SD: 1.4551 cents
 65:67:69 x 71:74:84:87:89:90:92:95:107:116:130    SD: 1.4590 cents
 66:68:70 x 72:75:85:88 x 91:94:97:109:117:132    SD: 1.4301 cents
 67:69:71 x 74:76:86:89:92:93:95:98:110:119:134    SD: 1.3764 cents
 69:71:73:74:76:79:89:92:95 x 98:101:114:123:138    SD: 1.5459 cents
 70:72:74:75:77:80:90:93:96:97:100:102:115:124:140    SD: 1.3291 cents
 71:73:75:76:78:81:91:95:97:98:101:104:117:126:142    SD: 1.0374 cents
 73:75:77:78:80:83:94:97:100:101:104:107:120:130:146    SD: 0.7997 cents
 77:79:81:82:84:88:99:103:106 x 110:113:127:137:154    SD: 1.6535 cents
 78:80 x 83:86:89:100:104:107:108:111:114:128:139:156    SD: 1.1263 cents
 79:81 x 84:87:90:102:105:108:109:112:116:130:140:158    SD: 1.4120 cents
 80:82 x 85:88:91:103:107:110:111:114:117:132:142:160    SD: 1.1737 cents
 81:83:86 x 89:92:104:108:111:112:115:118:133:144:162    SD: 1.0322 cents
 82:84:87 x 90:93:105:109:112:113:117:120:135:146:164    SD: 1.3454 cents
 84:86:89:90:92:96:108:112:115:116:119:123:138:149:168    SD: 1.2075 cents
 87:89:92:93:95:99:112:116:119:120:124:127:143:155:174    SD: 1.1527 cents
 91:94:96:97:100:104:117:121:125:126:129:133:150:162:182    SD: 1.0862 cents
 94:97:99:100:103:107:121:125:129:130:134:138:155:167:188    SD: 1.0436 cents
 95:98 x 101:104:108:122:127:130:131:135:139:156:169:190    SD: 0.9547 cents
 96:99 x 102:105:109:123:128:132:133:137:140:158:171:192    SD: 1.2184 cents
 97:100:103 x 106:110:125:129:133:134:138:142:160:172:194    SD: 1.1210 cents
 99:102:105:106:109:113:127:132:136:137:141:145:163:176:198    SD: 0.9433 cents
 101:104:107:108:111:115:130:135:139:140:144:148:166:180:202    SD: 0.9181 cents
 102:105:108:109:112:116:131:136:140:141:145:149:168:181:204    SD: 0.4591 cents
 175:180:185:187:192:199:225:233:240:242:249:256:288:311:350    SD: 0.3146 cents
 240:247:254:256:263:273:309:320:329:332:341:351:395:427:480    SD: 0.3001 cents
 270:278:286:288:296:307:347:360:370:373:384:395:444:480:540    SD: 0.2965 cents
 277:285:293:295:304:315:356:369:380:383:394:405:456:492:554    SD: 0.2832 cents
 311:320:329:332:341:354:400:415:427:430:442:455:512:553:622    SD: 0.2502 cents
 342:352:362:365:375:389:440:456:469:473:486:500:563:608:684    SD: 0.2145 cents
 348:358:368:371:382:396:447:464:477:481:495:509:573:619:696    SD: 0.2051 cents
 350:360:370:373:384:398:450:467:480:484:498:512:576:622:700    SD: 0.1976 cents
 393:404:416:419:431:447:505:524:539:543:559:575:647:699:786    SD: 0.1914 cents
 420:432:444:448:461:478:540:560:576:581:597:614:691:747:840    SD: 0.1783 cents
 450:463:476:480:494:512:579:600:617:622:640:658:741:800:900    SD: 0.1618 cents
 452:465:478:482:496:514:581:603:620:625:643:661:744:804:904    SD: 0.1516 cents
 465:478:492:496:510:529:598:620:638:643:661:680:765:827:930    SD: 0.1463 cents
 514:529:544:548:564:585:661:685:705:711:731:752:846:914:1028    SD: 0.1461 cents
 522:537:552:557:573:594:671:696:716:722:742:764:859:928:1044    SD: 0.1444 cents
 525:540:555:560:576:597:675:700:720:726:747:768:864:933:1050    SD: 0.1380 cents
 536:551:567:572:588:610:689:715:735:741:762:784:882:953:1072    SD: 0.1324 cents
 557:573:589:594:611:634:716:743:764:770:792:815:917:990:1114    SD: 0.1299 cents
 585:602:619:624:642:666:752:780:802:809:832:856:963:1040:1170    SD: 0.1240 cents
 588:605:622:627:645:669:756:784:806:813:836:860:968:1045:1176    SD: 0.1146 cents