Scala analysis: xen13-mclaren-prime-indices

Prime indices scale

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:       2835/2816           11.641681
  2:         45/44             38.905773 1/5-tone
  3:         12/11            150.637059 undecimal neutral second, 3/4-tone
  4:        125/112           190.115235 classic augmented semitone
  5:          6/5             315.641287 minor third
  6:      14175/11264         397.955395
  7:          4/3             498.044999 perfect fourth
  8:        125/88            607.623199
  9:         16/11            648.682058 undecimal semi-diminished fifth
 10:          8/5             813.686286 minor sixth
 11:         12/7             933.129094 septimal major sixth
 12:        315/176          1007.731680
SHOW/INTERVAL
  0:        735/704            74.6026 
  1:       2835/2816           11.6417 
  2:         64/63             27.2641 septimal comma, Archytas' comma
  3:         16/15            111.7313 minor diatonic semitone
  4:       1375/1344           39.4782 
  5:        672/625           125.5261 
  6:      23625/22528          82.3141 
  7:      45056/42525         100.0896 
  8:        375/352           109.5782 
  9:        128/125            41.0589 minor diesis, diesis
 10:         11/10            165.0042 Ptolemy's second, 4/5-tone
 11:         15/14            119.4428 major diatonic semitone
 12:        735/704            74.6026 
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 2835/2816           11.642 cents   
  1:   1 64/63               27.264 cents   septimal comma, Archytas' comma
  1:   1 1375/1344           39.478 cents   
  1:   1 128/125             41.059 cents   minor diesis, diesis
  1:   1 735/704             74.603 cents   
  1:   1 23625/22528         82.314 cents   
  1:   1 45056/42525         100.090 cents  
  1:   1 375/352             109.578 cents  
  1:   1 16/15               111.731 cents  minor diatonic semitone
  1:   1 15/14               119.443 cents  major diatonic semitone
  1:   1 672/625             125.526 cents  
  1:   1 11/10               165.004 cents  Ptolemy's second, 4/5-tone
  2:   1 45/44               38.906 cents   1/5-tone
  2:   1 2083725/1982464     86.244 cents   
  2:   1 1024/945            138.995 cents  
  2:   1 12/11               150.637 cents  undecimal neutral second, 3/4-tone
  2:   1 275/252             151.209 cents  
  2:   1 11/10               165.004 cents  Ptolemy's second, 4/5-tone
  2:   1 10/9                182.404 cents  minor whole tone
  2:   1 1575/1408           194.045 cents  
  2:   1 704/625             206.063 cents  
  2:   1 3969/3520           207.840 cents  
  2:   1 640/567             209.668 cents  
  2:   1 33/28               284.447 cents  undecimal minor third
  3:   1 33075/30976         113.508 cents  
  3:   1 12/11               150.637 cents  undecimal neutral second, 3/4-tone
  3:   1 4400/3969           178.474 cents  
  3:   1 4465125/3964928     205.687 cents  
  3:   1 4725/4096           247.318 cents  
  3:   1 16384/14175         250.727 cents  
  3:   1 88/75               276.736 cents  
  3:   1 625/528             291.982 cents  
  3:   1 448/375             307.930 cents  
  3:   1 6/5                 315.641 cents  minor third
  3:   1 1056/875            325.506 cents  
  3:   1 315/256             359.050 cents  
  4:   1 125/112             190.115 cents  classic augmented semitone
  4:   1 2205/1936           225.240 cents  
  4:   1 70875/61952         232.951 cents  
  4:   1 5632/4725           304.000 cents  
  4:   1 40/33               333.041 cents  
  4:   1 11/9                347.408 cents  undecimal neutral third
  4:   1 315/256             359.050 cents  
  4:   1 893025/720896       370.691 cents  
  4:   1 63/50               400.108 cents  quasi-equal major third
  4:   1 90112/70875         415.731 cents  
  4:   1 14/11               417.508 cents  undecimal diminished fourth or major third
  4:   1 9/7                 435.084 cents  septimal major third, BP third
  5:   1 13125/11264         264.718 cents  
  5:   1 6/5                 315.641 cents  minor third
  5:   1 4725/3872           344.682 cents  
  5:   1 5/4                 386.314 cents  major third
  5:   1 14175/11264         397.955 cents  
  5:   1 35721/28160         411.750 cents  
  5:   1 125/96              456.986 cents  classic augmented third
  5:   1 1792/1375           458.567 cents  
  5:   1 176/135             459.139 cents  
  5:   1 4/3                 498.045 cents  perfect fourth
  5:   1 945/704             509.687 cents  
  5:   1 45056/33075         535.174 cents  
  6:   1 28125/22528         384.161 cents  
  6:   1 441/352             390.244 cents  
  6:   1 14175/11264         397.955 cents  
  6:   1 567/440             439.014 cents  
  6:   1 11264/8505          486.403 cents  
  6:   1 4/3                 498.045 cents  perfect fourth
  6:   1 945/704             509.687 cents  
  6:   1 2679075/1982464     521.328 cents  
  6:   1 25/18               568.717 cents  classic augmented fourth
  6:   1 64/45               609.776 cents  2nd tritone
  6:   1 10/7                617.488 cents  Euler's tritone
  6:   1 896/625             623.571 cents  
  7:   1 10418625/7929856    472.558 cents  
  7:   1 4/3                 498.045 cents  perfect fourth
  7:   1 945/704             509.687 cents  
  7:   1 42525/30976         548.592 cents  
  7:   1 5625/4096           549.165 cents  double augmented third
  7:   1 378/275             550.746 cents  
  7:   1 800/567             595.982 cents  
  7:   1 64/45               609.776 cents  2nd tritone
  7:   1 63/44               621.418 cents  
  7:   1 22/15               663.049 cents  undecimal diminished fifth
  7:   1 525/352             692.090 cents  
  7:   1 192/125             743.014 cents  classic diminished sixth
  8:   1 245/176             572.648 cents  
  8:   1 45/32               590.224 cents  diatonic tritone
  8:   1 22325625/15859712   592.001 cents  
  8:   1 125/88              607.623 cents  
  8:   1 4096/2835           637.040 cents  
  8:   1 16/11               648.682 cents  undecimal semi-diminished fifth
  8:   1 2835/1936           660.324 cents  
  8:   1 189/128             674.691 cents  
  8:   1 1488375/991232      703.732 cents  
  8:   1 352/225             774.781 cents  
  8:   1 11/7                782.492 cents  undecimal augmented fifth
  8:   1 441/275             817.616 cents  
  9:   1 16/11               648.682 cents  undecimal semi-diminished fifth
  9:   1 91875/61952         682.226 cents  
  9:   1 525/352             692.090 cents  
  9:   1 16875/11264         699.802 cents  
  9:   1 189/125             715.750 cents  
  9:   1 23625/15488         730.996 cents  
  9:   1 4465125/2883584     757.005 cents  
  9:   1 256/165             760.413 cents  
  9:   1 22528/14175         802.045 cents  
  9:   1 250047/154880       829.258 cents  
  9:   1 105/64              857.095 cents  septimal neutral sixth
  9:   1 176/105             894.223 cents  
 10:   1 735/484             723.285 cents  
 10:   1 35721/22528         798.064 cents  
 10:   1 100/63              799.892 cents  quasi-equal minor sixth
 10:   1 196875/123904       801.669 cents  
 10:   1 8/5                 813.686 cents  minor sixth
 10:   1 567/352             825.328 cents  
 10:   1 1575/968            842.727 cents  
 10:   1 3969/2420           856.522 cents  
 10:   1 105/64              857.095 cents  septimal neutral sixth
 10:   1 297675/180224       868.736 cents  
 10:   1 11264/6615          921.487 cents  
 10:   1 7/4                 968.826 cents  harmonic seventh
 11:   1 1575/968            842.727 cents  
 11:   1 9375/5632           882.206 cents  
 11:   1 147/88              888.289 cents  
 11:   1 4725/2816           896.000 cents  
 11:   1 42/25               898.153 cents  quasi-equal major sixth
 11:   1 13395375/7929856    907.642 cents  
 11:   1 128/75              925.418 cents  diminished seventh
 11:   1 12/7                933.129 cents  septimal major sixth
 11:   1 39375/22528         966.673 cents  
 11:   1 5292/3025           968.254 cents  
 11:   1 19845/11264         980.468 cents  
 11:   1 16/9                996.090 cents  Pythagorean minor seventh
Highest number of different intervals for one interval class: 12
Average number of different intervals per interval class: 12.00000 = 12
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10    11    12    
 0.0   : 11.6  38.9  150.6 190.1 315.6 398.0 498.0 607.6 648.7 813.7 933.1 1007.7
 11.6  : 27.3  139.0 178.5 304.0 386.3 486.4 596.0 637.0 802.0 921.5 996.1 1007.7
 38.9  : 111.7 151.2 276.7 359.0 459.1 568.7 609.8 774.8 894.2 968.8 980.5 1007.7
 150.6 : 39.5  165.0 247.3 347.4 457.0 498.0 663.0 782.5 857.1 868.7 896.0 1007.7
 190.1 : 125.5 207.8 307.9 417.5 458.6 623.6 743.0 817.6 829.3 856.5 968.3 1007.7
 315.6 : 82.3  182.4 292.0 333.0 498.0 617.5 692.1 703.7 731.0 842.7 882.2 1007.7
 398.0 : 100.1 209.7 250.7 415.7 535.2 609.8 621.4 648.7 760.4 799.9 925.4 1007.7
 498.0 : 109.6 150.6 315.6 435.1 509.7 521.3 548.6 660.3 699.8 825.3 907.6 1007.7
 607.6 : 41.1  206.1 325.5 400.1 411.8 439.0 550.7 590.2 715.7 798.1 898.2 1007.7
 648.7 : 165.0 284.4 359.0 370.7 398.0 509.7 549.2 674.7 757.0 857.1 966.7 1007.7
 813.7 : 119.4 194.0 205.7 233.0 344.7 384.2 509.7 592.0 692.1 801.7 842.7 1007.7
 933.1 : 74.6  86.2  113.5 225.2 264.7 390.2 472.6 572.6 682.2 723.3 888.3 1007.7
 1007.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  11.6417   .. 165.0042 cents      15488/14175, 153.3625 cents        2835/2816, 11.6417 cents
  2:  38.9058   .. 284.4470 cents      121/105, 245.5413 cents            225/242,-126.0985 cents
  3:  113.5084  .. 359.0496 cents      121/105, 245.5413 cents            77175/85184,-170.9387 cents
  4:  190.1152  .. 435.0841 cents      144/125, 244.9689 cents            400/441,-168.9344 cents
  5:  264.7178  .. 535.1737 cents      507510784/434109375, 270.4559 cent 30625/33792,-170.3663 cents
  6:  384.1606  .. 623.5711 cents      20185088/17578125, 239.4104 cents  930234375/1015021568,-151.0131 cents
  7:  472.5580  .. 743.0139 cents      507510784/434109375, 270.4559 cent 930234375/1015021568,-151.0131 cents
  8:  572.6476  .. 817.6164 cents      144/125, 244.9689 cents            30625/33792,-170.3663 cents
  9:  648.6821  .. 894.2233 cents      121/105, 245.5413 cents            400/441,-168.9344 cents
 10:  723.2846  .. 968.8259 cents      121/105, 245.5413 cents            77175/85184,-170.9387 cents
 11:  842.7275  .. 996.0900 cents      15488/14175, 153.3625 cents        225/242,-126.0985 cents
SHOW DATA
Number of notes                     : 12
-- Interval properties --
Smallest interval                   : 2835/2816, 11.6417 cents, class 1
Average step (divided formal octave): 83.9776 cents
Largest one step interval           : 11/10, 165.0042 cents
Average / Smallest step             : 7.213532
Largest / Average step              : 1.964859
Largest / Smallest step             : 14.173574
Median interval of one step         : 91.20186 cents, amount: 0
Least squares average step          : 76.84195 cents, oct.:  922.10338 cents
Scale is not proper
Step pattern alph. order: ABCDEFGHIJKL
Step pattern size order : ABICKFGHDLJE
Scale is not a Constant Structure
Scale diversity                     : 1.353795
Lumma stability                     : 0.023105
Lumma impropriety factor            : 0.922785
Rothenberg efficiency               : 0.183838   redundancy: 0.816162
Efficiency x scale size             : 2.206061
Number of different interval sizes  : 118 = 10.72727 / class
Number of one step interval sizes   : 12
Highest interval variety            : 12
Mean interval variety               : 12.00000 = 12
Median interval variety             : 12
Lowest interval variety             : 12
Smallest interval difference        : 0.37601 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 3
Number of recognisable fifths       : 5, average 700.6929 cents
Number of appreciable fifths        : 4, average 696.9287 cents
Number of recognisable fourths      : 7, average 501.3712 cents
Formal octave complements present   : 1 = 8.3333%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --
Prime limit                         : 11
Odd number limit                    : 22325625 (O: 22325625 U: 70875)
Highest odd numerator or denominator: 14175
Scale harmonicity                   : 0.010907
Average absolute harmonicity        : 0.059928
Specific harmonicity                : 0.060655
Fundamental                         : 1/1182720, -20.1737 octaves, 0.0002 Hz.
Guide tone                          : 1134000,  20.1130 octaves, 296683391.051 Hz.
Exponens Consonantiae               : 1.341204E+12, 40.28667 octaves
Euler's gradus suavitatis           : 63
Sum of Mann's harmonic distance     : 16110.0, average 1342.50000
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 20.75236, average 1.72936
Sum of Tenney's harmonic distance   : 41.78214, average 3.48184
Vogel's harmonic complexity         : 36.00000
Wille's k value                     : 744187
Wilson's harmonic complexity        : 60
Rectangular lattice diameter        : 12
Triangular lattice diameter         : 8
Lattice compactness                 : 460.64094, average 5.90565
Lattice compactness (without 2's)   : 221.82119, average 2.84386
Number of different primes          : 5
Prime exponents' range, average, count, tones@limit:
  2:  -10 .. 4       -1.41667   45
  3:  -1 .. 4         1.16667   16    1
  5:  -1 .. 3         0.75000   13    2
  7:  -1 .. 1         0.08333   5     2
 11:  -1 .. 0        -0.58333   7     7
Average exponent except 2's         : 17 / 12 = 1.41667
Average absolute exponent except 2's: 41 / 12 = 3.41667
FIT/MODE
 12:  0 0 2 0 2 1 1 1 1 2 1 1   N        SD: 20.5369 c. M: 38.9058 c. 
 13:  0 0 2 0 2 1 1 2 0 2 2 1   N        SD: 23.4256 c. M: 38.9058 c. 
 14:  0 1 1 1 1 2 1 1 1 2 2 1   N        SD: 21.1961 c. M:-33.9296 c. 
 15:  0 1 1 1 2 1 1 2 1 2 2 1   N        SD: 16.3162 c. M:-28.2763 c. 
 16:  0 1 1 1 2 1 2 2 0 3 2 1   N        SD: 15.1971 c. M: 24.6706 c. 
 20:  0 1 2 1 2 2 2 2 1 3 3 1   N        SD: 10.5192 c. M:-24.2160 c. 
 22:  0 1 2 1 3 2 2 2 1 4 2 2   N        SD: 10.3174 c. M: 17.0094 c. 
 25:  0 1 3 1 3 2 2 3 1 4 3 2   N        SD: 8.0331 c. M: 14.3338 c. 
 26:  0 1 3 1 3 2 3 3 1 4 3 2   N        SD: 7.1329 c. M:-12.5194 c. 
 31:  0 1 4 1 4 2 3 4 1 5 4 2   N        SD: 8.1524 c. M:-11.9003 c. 
 35:  0 1 4 1 5 3 3 4 1 6 4 3   N        SD: 9.6663 c. M: 17.3612 c. 
 36:  0 1 4 2 4 3 4 3 2 6 4 3   N        SD: 9.3057 c. M: 19.7797 c. 
 37:  0 1 5 1 5 3 3 4 2 6 4 3   N        SD: 8.6181 c. M:-12.7789 c. 
 38:  0 1 5 1 5 3 4 4 1 7 4 3   N        SD: 7.4807 c. M: 12.3865 c. 
 39:  0 1 5 1 5 3 4 4 2 6 5 3   N        SD: 8.9143 c. M: 13.3199 c. 
 41:  0 2 4 2 5 3 4 5 1 7 5 3   N        SD: 6.5775 c. M: 11.6417 c. 
 42:  0 2 4 2 5 4 4 4 2 7 5 3   N        SD: 6.3572 c. M: 11.6417 c. 
 45:  1 1 5 2 5 4 4 5 2 7 6 3   N        SD: 6.4482 c. M:-11.4311 c. 
 47:  1 1 5 2 6 4 4 5 2 8 6 3   N        SD: 6.1796 c. M:-10.2793 c. 
 48:  1 1 5 2 6 4 5 5 2 8 5 4   N        SD: 4.7176 c. M: 9.3751 c. 
 51:  1 1 6 2 6 4 5 6 2 8 6 4   N        SD: 4.7419 c. M:-8.1178 c. 
 53:  1 1 6 2 7 4 5 6 2 9 6 4   N        SD: 3.5738 c. M:-7.5934 c. 
 58:  1 1 7 2 7 5 6 6 2 10 7 4   N        SD: 4.0598 c. M:-5.8208 c. 
 67:  1 2 7 3 8 5 7 7 3 11 8 5   N        SD: 3.7887 c. M: 6.8953 c. 
 68:  1 2 7 3 8 6 7 7 3 11 8 5   N        SD: 3.2299 c. M:-5.8208 c. 
 71:  1 2 8 2 9 6 7 8 3 11 9 5   N        SD: 3.5926 c. M: 5.6010 c. 
 73:  1 2 8 3 9 6 7 8 3 12 9 5   N        SD: 2.3175 c. M:-5.5799 c. 
 79:  1 2 9 3 10 6 8 9 3 13 9 6   N        SD: 2.2867 c. M:-4.6695 c. 
 93:  1 3 10 4 11 8 9 10 4 15 11 7   N        SD: 2.2749 c. M:-4.9296 c. 
 99:  1 3 11 4 12 8 10 11 4 16 12 7   N        SD: 2.0621 c. M:-3.3488 c. 
 106: 1 3 12 4 13 9 10 12 4 18 12 8   N        SD: 2.0305 c. M:-3.9073 c. 
 109: 1 3 12 5 13 9 11 12 4 18 13 8   N        SD: 1.9510 c. M:-4.0349 c. 
 121: 1 4 13 5 15 10 12 13 5 20 14 9   N        SD: 1.7100 c. M: 3.3133 c. 
 134: 1 4 15 5 17 11 13 15 5 22 16 10   N        SD: 1.7107 c. M: 4.1213 c. 
 145: 2 4 16 5 18 12 15 15 6 24 17 11   N        SD: 2.2248 c. M: 2.9842 c. 
 146: 2 4 16 6 18 12 14 16 6 24 17 11   N        SD: 1.7094 c. M:-3.1484 c. 
 147: 2 4 16 6 18 12 15 16 6 24 17 11   N        SD: 1.7436 c. M:-2.5731 c. 
 149: 2 4 16 6 19 12 15 16 6 24 18 11   N        SD: 1.5366 c. M:-2.4392 c. 
 152: 2 4 17 6 19 12 15 17 6 25 18 11   N        SD: 1.6136 c. M:-2.5898 c. 
 154: 2 4 17 6 19 13 15 17 6 25 19 11   N        SD: 1.3023 c. M:-2.6218 c. 
 160: 2 4 18 6 20 13 16 17 7 26 19 12   N        SD: 1.1972 c. M: 2.9842 c. 
 178: 2 5 20 7 22 14 18 19 8 29 21 13   N        SD: 1.5396 c. M:-2.3805 c. 
 179: 2 5 20 7 22 15 18 19 7 30 21 13   N        SD: 1.4970 c. M:-3.0059 c. 
 180: 2 5 20 7 22 15 18 20 7 29 22 13   N        SD: 1.2817 c. M:-2.6143 c. 
 182: 2 5 20 7 23 15 18 20 7 30 22 13   N        SD: 1.1339 c. M:-2.6218 c. 
 192: 2 5 22 7 24 16 19 21 8 31 23 14   N        SD: 1.2557 c. M: 2.1656 c. 
 201: 2 6 22 8 25 16 20 22 8 33 24 15   N        SD: 1.2243 c. M: 1.9289 c. 
 202: 2 6 22 8 25 17 20 22 8 33 24 15   N        SD: 0.9219 c. M: 1.6641 c. 
 233: 3 6 26 9 29 19 23 25 10 38 28 17   N        SD: 0.8567 c. M: 2.1192 c. 
 239: 3 6 27 9 30 19 24 26 10 39 28 18   N        SD: 0.8618 c. M: 1.6090 c. 
 255: 3 7 28 10 32 21 25 28 10 42 30 19   N        SD: 0.5884 c. M:-1.1854 c. 
 259: 3 7 29 10 32 21 26 28 11 42 31 19   N        SD: 0.6612 c. M:-1.1063 c. 
 281: 3 8 31 11 35 23 28 30 12 46 33 21   N        SD: 0.6140 c. M: 1.5497 c. 
 354: 4 10 39 14 44 29 35 39 14 58 42 26   N        SD: 0.6479 c. M:-1.5705 c. 
 360: 4 10 40 14 45 29 36 39 15 59 42 27   N        SD: 0.5532 c. M: 0.9773 c. 
 362: 4 10 40 14 45 30 36 39 15 59 43 27   N        SD: 0.5643 c. M: 1.0731 c. 
 415: 5 11 46 16 52 34 41 45 17 68 49 31   N        SD: 0.3903 c. M: 0.7102 c. 
 435: 5 12 48 17 54 36 43 47 18 71 52 32   N        SD: 0.3895 c. M: 0.6676 c. 
 441: 5 12 49 17 55 36 44 48 18 72 52 33   N        SD: 0.3317 c. M: 0.8059 c. 
 514: 6 14 57 20 64 42 51 56 21 84 61 38   N        SD: 0.1660 c. M:-0.3266 c. 
 929: 11 25 103 36 116 76 92 101 38 152 110 69   N        SD: 0.1714 c. M:-0.2906 c. 
 1038: 12 28 115 41 129 85 103 113 42 170 123 77   N        SD: 0.1153 c. M:-0.1694 c. 
 1299: 15 35 144 51 162 106 129 141 53 213 154 96   N        SD: 0.1027 c. M: 0.1914 c. 
 1552: 18 42 172 61 193 127 154 169 63 254 184 115   N        SD: 0.0745 c. M:-0.1331 c. 
 1740: 20 47 193 68 217 142 173 189 71 285 206 129   N        SD: 0.0752 c. M: 0.1520 c. 
 1813: 21 49 201 71 226 148 180 197 74 297 215 134   N        SD: 0.0538 c. M:-0.1205 c. 
 2254: 26 61 250 88 281 184 224 245 92 369 267 167   N        SD: 0.0419 c. M: 0.1037 c. 
FIT/HARMONIC
 1 x x x x x x x x x x x 2  S SD: 192.2683 cents
 2 x x x x x x x x 3 x x 4  S SD: 99.7561 cents
 3 x x x x x x 4 x x x 5 x  S SD: 24.3852 cents
 4 x x x x x 5 x x 6 x 7 x  S SD: 21.7250 cents
 5 x x x x 6 x x 7 x 8 x 9  S SD: 6.7448 cents
 6 x x x x 7 x 8 x 9 x 10:11  S SD: 19.3166 cents
 7 x x x 8 x 9 x 10 x 11:12:13  S SD: 15.1171 cents
 8 x x x 9 x 10:11 x 12:13:14 x  S SD: 14.9039 cents
 9 x x x 10:11 x 12 x 13:14:15:16  S SD: 11.1637 cents
 10 x x 11 x 12 x 13:14:15:16:17:18  S SD: 9.6042 cents
 11 x x 12 x 13:14:15 x 16:18:19:20  S SD: 8.8585 cents
 12 x x 13 x 14:15:16:17 x 19:21 x    SD: 9.3502 cents
 13 x x 14:15 x 16:17:18:19:21:22:23    SD: 10.9036 cents
 14 x x 15:16:17:18:19:20 x 22:24:25  S SD: 8.9456 cents
 15 x x 16:17:18:19:20:21:22:24:26:27  S SD: 6.0394 cents
 16 x x 17:18:19:20:21 x 23:26:27:29    SD: 8.4926 cents
 17 x x x 19:20:21:23:24:25:27:29:30    SD: 7.1645 cents
 18 x 19 x 20:22:23:24 x 26:29:31:32    SD: 8.0480 cents
 19 x 20 x 21:23:24:25:27:28:30:33:34    SD: 7.1558 cents
 20 x 21:22 x 24:25:27:28:29:32:34:36    SD: 6.2028 cents
 21 x 22:23 x 25:26:28:30:31:34:36:38    SD: 6.5561 cents
 22 x 23:24:25:26:28:29:31:32:35:38:39    SD: 6.1853 cents
 23 x 24:25:26:28:29:31:33 x 37:39:41    SD: 5.9305 cents
 24 x 25:26:27:29:30:32:34:35:38:41:43    SD: 4.0999 cents
 25 x 26:27:28:30:31:33 x 36:40:43:45    SD: 5.0686 cents
 26 x 27:28:29:31:33:35:37:38:42:45:47    SD: 4.7599 cents
 27 x 28:29:30:32:34:36:38:39:43:46:48    SD: 4.5840 cents
 28 x 29 x 31:34:35:37:40:41:45:48:50    SD: 4.2103 cents
 29 x 30 x 32:35:36:39:41:42:46:50:52    SD: 4.5958 cents
 30 x 31:33 x 36:38:40:43:44:48:51:54    SD: 3.7559 cents
 31 x 32:34:35:37:39:41:44:45:50:53:55    SD: 3.5040 cents
 32 x 33:35:36:38:40:43:45:47:51:55:57    SD: 3.8386 cents
 33 x 34:36:37:40:42:44:47:48:53:57:59    SD: 3.0826 cents
 34 x 35:37:38:41:43:45:48:49:54:58:61    SD: 2.9901 cents
 35 x 36:38:39:42:44:47:50:51:56:60:63    SD: 2.0977 cents
 36 x 37:39:40:43:45:48:51:52:58:62:64    SD: 2.8571 cents
 37 x 38:40:41:44:47:49:53:54:59:63:66    SD: 3.5779 cents
 38 x 39:41:42:46:48:51:54:55:61:65:68    SD: 3.1560 cents
 39 x 40:43:44:47:49:52:55:57:62:67:70    SD: 3.0987 cents
 40 x 41:44:45:48:50:53:57:58:64:69:72    SD: 2.7849 cents
 41 x 42:45:46:49:52:55:58:60:66:70:73    SD: 2.7980 cents
 42 x 43:46:47:50:53:56:60:61:67:72:75    SD: 1.8866 cents
 43 x 44:47:48:52:54:57:61:63:69:74:77    SD: 2.1104 cents
 44 x 45:48:49:53:55:59:63:64:70:75:79    SD: 2.4119 cents
 45 x 46:49:50:54:57:60:64:65:72:77:81    SD: 1.9407 cents
 46 x 47:50:51:55:58:61:65:67:74:79:82    SD: 2.1269 cents
 47 x 48:51:52:56:59:63:67:68:75:81:84    SD: 2.5854 cents
 48 x 49:52:54:58:60:64:68:70:77:82:86    SD: 2.4507 cents
 49 x 50:53:55:59:62:65:70:71:78:84:88    SD: 2.5523 cents
 50 x 51:55:56:60:63:67:71:73:80:86:89    SD: 2.0517 cents
 51 x 52:56:57:61:64:68:72:74:82:87:91    SD: 2.0727 cents
 52 x 53:57:58:62:65:69:74:76:83:89:93    SD: 2.1128 cents
 53 x 54:58:59:64:67:71:75:77:85:91:95    SD: 1.8535 cents
 54 x 55:59:60:65:68:72:77:79:86:93:97    SD: 1.9489 cents
 55 x 56:60:61:66:69:73:78:80:88:94:98    SD: 1.7323 cents
 56 x 57:61:63:67:70:75:80:81:90:96:100    SD: 2.4945 cents
 57 x 58:62:64:68:72:76:81:83:91:98:102    SD: 1.8204 cents
 58 x 59:63:65:70:73:77:82:84:93:99:104    SD: 2.1329 cents
 59 x 60:64:66:71:74:79:84:86:94:101:106    SD: 1.9330 cents
 60 x 61:65:67:72:76:80:85:87:96:103:107    SD: 1.9817 cents
 61 x 62:67:68:73:77:81:87:89:98:105:109    SD: 2.1233 cents
 62 x 63:68:69:74:78:83:88:90:99:106:111    SD: 1.8632 cents
 63 x 64:69:70:76:79:84:89:92:101:108:113    SD: 2.0850 cents
 64 x 65:70:71:77:81:85:91:93:102:110:115    SD: 2.1454 cents
 65 x 66:71:73:78:82:87:92:95:104:111:116    SD: 2.0670 cents
 66 x 68:72:74:79:83:88:94:96:106:113:118    SD: 1.6245 cents
 67 x 69:73:75:80:84:89:95:97:107:115:120    SD: 1.8760 cents
 68 x 70:74:76:82:86:91:97:99:109:117:122    SD: 1.9529 cents
 69:70:71:75:77:83:87:92:98:100:110:118:123    SD: 1.8644 cents
 70:71:72:76:78:84:88:93:99:102:112:120:125    SD: 1.7938 cents
 74:75:76:81:83:89:93:99:105:108:118:127:132    SD: 1.7855 cents
 75:76:77:82:84:90:94:100:107:109:120:129:134    SD: 1.6123 cents
 76:77:78:83:85:91:96:101:108:111:122:130:136    SD: 1.5840 cents
 77:78:79:84:86:92:97:103:109:112:123:132:138    SD: 1.4094 cents
 81:82:83:88:90:97:102:108:115:118:130:139:145    SD: 1.3623 cents
 84:85:86:92:94:101:106:112:119:122:134:144:150    SD: 1.3294 cents
 85:86:87:93:95:102:107:113:121:124:136:146:152    SD: 1.1414 cents
 90:91:92:98:100:108:113:120:128:131:144:154:161    SD: 1.0521 cents
 95:96:97:104:106:114:120:127:135:138:152:163:170    SD: 1.0474 cents
 105:106:107:115:117:126:132:140:149:153:168:180:188    SD: 0.9591 cents
 112:113:115:122:125:134:141:149:159:163:179:192:200    SD: 0.9532 cents
 119:120:122:130:133:143:150:159:169:173:190:204:213    SD: 0.7404 cents
 120:121:123:131:134:144:151:160:170:175:192:206:215    SD: 0.7230 cents
 123:124:126:134:137:148:155:164:175:179:197:211:220    SD: 0.7134 cents
 129:130:132:141:144:155:162:172:183:188:206:221:231    SD: 0.6603 cents
 130:131:133:142:145:156:164:173:185:189:208:223:233    SD: 0.6262 cents
 140:141:143:153:156:168:176:187:199:204:224:240:251    SD: 0.6184 cents
 147:148:150:160:164:176:185:196:209:214:235:252:263    SD: 0.6129 cents
 162:163:166:177:181:194:204:216:230:236:259:278:290    SD: 0.5869 cents
 165:166:169:180:184:198:208:220:234:240:264:283:295    SD: 0.4619 cents
 174:175:178:190:194:209:219:232:247:253:278:298:311    SD: 0.4397 cents
 231:233:236:252:258:277:291:308:328:336:370:396:413    SD: 0.4395 cents
 240:242:245:262:268:288:302:320:341:349:384:411:430    SD: 0.4335 cents
 251:253:257:274:280:301:316:335:357:365:402:430:449    SD: 0.4216 cents
 252:254:258:275:281:302:317:336:358:367:403:432:451    SD: 0.3850 cents
 255:257:261:278:285:306:321:340:362:371:408:437:456    SD: 0.3406 cents
 266:268:272:290:297:319:335:355:378:387:426:456:476    SD: 0.2953 cents
 275:277:281:300:307:330:346:367:391:400:440:471:492    SD: 0.2846 cents
 295:297:302:322:329:354:371:393:419:429:472:506:528    SD: 0.2627 cents
 309:311:316:337:345:371:389:412:439:449:494:530:553    SD: 0.2387 cents
 310:312:317:338:346:372:390:413:440:451:496:531:555    SD: 0.2291 cents
 395:398:404:431:441:474:497:527:561:575:632:677:707    SD: 0.2038 cents
 405:408:414:442:452:486:510:540:575:589:648:694:725    SD: 0.1908 cents
 430:433:440:469:480:516:541:573:611:625:688:737:770    SD: 0.1897 cents
 438:441:448:478:489:526:551:584:622:637:701:751:784    SD: 0.1574 cents
 440:443:450:480:491:528:554:587:625:640:704:754:788    SD: 0.1559 cents
 561:565:574:612:626:673:706:748:797:816:898:962:1004    SD: 0.1268 cents
 570:574:583:622:636:684:717:760:810:829:912:977:1020    SD: 0.1163 cents
 585:589:598:638:653:702:736:780:831:851:936:1003:1047    SD: 0.0970 cents