Scala analysis: xen12-wilson-06-mandala

The 3-5-7-11 Mandala, Figure 6

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:         12/11            150.637059 undecimal neutral second, 3/4-tone
  3:         11/10            165.004228 Ptolemy's second, 4/5-tone
  4:          6/5             315.641287 minor third
  5:         33/25            480.645516 2 pentatones
  6:         66/49            515.621130
  7:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  8:         10/7             617.487807 Euler's tritone
  9:         11/7             782.492036 undecimal augmented fifth
 10:         12/7             933.129094 septimal major sixth
 11:        121/70            947.496264
 12:         11/6            1049.362941 undecimal neutral seventh, 21/4-tone
 13:         66/35           1098.133323
 14:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         35/33            101.8667 
  1:         36/35             48.7704 septimal diesis, 1/4-tone
  2:         35/33            101.8667 
  3:        121/120            14.3672 undecimal seconds comma, biyatisma
  4:         12/11            150.6371 undecimal neutral second, 3/4-tone
  5:         11/10            165.0042 Ptolemy's second, 4/5-tone
  6:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
  7:        343/330            66.8911 
  8:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
  9:         11/10            165.0042 Ptolemy's second, 4/5-tone
 10:         12/11            150.6371 undecimal neutral second, 3/4-tone
 11:        121/120            14.3672 undecimal seconds comma, biyatisma
 12:         35/33            101.8667 
 13:         36/35             48.7704 septimal diesis, 1/4-tone
 14:         35/33            101.8667 
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   2 121/120             14.367 cents   undecimal seconds comma, biyatisma
  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:   1 343/330             66.891 cents   
  1:   3 35/33               101.867 cents  
  1:   2 12/11               150.637 cents  undecimal neutral second, 3/4-tone
  1:   2 11/10               165.004 cents  Ptolemy's second, 4/5-tone
  2:   2 35/33               101.867 cents  
  2:   2 77/72               116.234 cents  undecimal secor
  2:   4 12/11               150.637 cents  undecimal neutral second, 3/4-tone
  2:   2 11/10               165.004 cents  Ptolemy's second, 4/5-tone
  2:   2 55/49               199.980 cents  quasi-equal major second
  2:   2 6/5                 315.641 cents  minor third
  3:   1 250/231             136.842 cents  
  3:   2 11/10               165.004 cents  Ptolemy's second, 4/5-tone
  3:   1 432/385             199.407 cents  
  3:   2 140/121             252.504 cents  
  3:   4 7/6                 266.871 cents  septimal minor third
  3:   2 121/100             330.008 cents  two (Ptolemy's second, 4/5-tone)
  3:   2 60/49               350.617 cents  smaller approximation to neutral third
  4:   2 7/6                 266.871 cents  septimal minor third
  4:   2 144/121             301.274 cents  two (undecimal neutral second, 3/4-tone)
  4:   2 25/21               301.847 cents  BP second, quasi-equal minor third
  4:   2 6/5                 315.641 cents  minor third
  4:   2 121/98              364.984 cents  
  4:   2 14/11               417.508 cents  undecimal diminished fourth or major third
  4:   2 77/60               431.875 cents  
  5:   2 6/5                 315.641 cents  minor third
  5:   1 1680/1331           403.141 cents  
  5:   2 14/11               417.508 cents  undecimal diminished fourth or major third
  5:   2 77/60               431.875 cents  
  5:   2 100/77              452.484 cents  
  5:   3 55/42               466.851 cents  
  5:   2 33/25               480.646 cents  2 pentatones
  6:   2 14/11               417.508 cents  undecimal diminished fourth or major third
  6:   2 72/55               466.278 cents  undecimal semi-diminished fourth
  6:   2 55/42               466.851 cents  
  6:   2 66/49               515.621 cents  
  6:   2 49/36               533.742 cents  Arabic lute acute fourth
  6:   2 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  6:   2 10/7                617.488 cents  Euler's tritone
  7:   1 77/60               431.875 cents  
  7:   2 168/121             568.145 cents  
  7:   2 25/18               568.717 cents  classic augmented fourth
  7:   2 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  7:   2 10/7                617.488 cents  Euler's tritone
  7:   2 36/25               631.283 cents  classic diminished fifth
  7:   2 121/84              631.855 cents  
  7:   1 120/77              768.125 cents  
  8:   2 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  8:   2 10/7                617.488 cents  Euler's tritone
  8:   2 72/49               666.258 cents  Arabic lute grave fifth
  8:   2 49/33               684.379 cents  
  8:   2 84/55               733.149 cents  
  8:   2 55/36               733.722 cents  undecimal semi-augmented fifth
  8:   2 11/7                782.492 cents  undecimal augmented fifth
  9:   2 50/33               719.354 cents  3 pentatones
  9:   3 84/55               733.149 cents  
  9:   2 77/50               747.516 cents  
  9:   2 120/77              768.125 cents  
  9:   2 11/7                782.492 cents  undecimal augmented fifth
  9:   1 1331/840            796.859 cents  
  9:   2 5/3                 884.359 cents  major sixth, BP sixth
 10:   2 120/77              768.125 cents  
 10:   2 11/7                782.492 cents  undecimal augmented fifth
 10:   2 196/121             835.016 cents  two (undecimal diminished fourth or major third)
 10:   2 5/3                 884.359 cents  major sixth, BP sixth
 10:   2 42/25               898.153 cents  quasi-equal major sixth
 10:   2 121/72              898.726 cents  
 10:   2 12/7                933.129 cents  septimal major sixth
 11:   2 49/30               849.383 cents  larger approximation to neutral sixth
 11:   2 200/121             869.992 cents  
 11:   4 12/7                933.129 cents  septimal major sixth
 11:   2 121/70              947.496 cents  
 11:   1 385/216             1000.593 cents 
 11:   2 20/11               1034.996 cents large minor seventh
 11:   1 231/125             1063.158 cents 
 12:   2 5/3                 884.359 cents  major sixth, BP sixth
 12:   2 98/55               1000.020 cents quasi-equal minor seventh
 12:   2 20/11               1034.996 cents large minor seventh
 12:   4 11/6                1049.363 cents undecimal neutral seventh, 21/4-tone
 12:   2 144/77              1083.766 cents 
 12:   2 66/35               1098.133 cents 
 13:   2 20/11               1034.996 cents large minor seventh
 13:   2 11/6                1049.363 cents undecimal neutral seventh, 21/4-tone
 13:   3 66/35               1098.133 cents 
 13:   1 660/343             1133.109 cents 
 13:   2 35/18               1151.230 cents septimal semi-diminished octave
 13:   2 49/25               1165.024 cents BP eighth
 13:   2 240/121             1185.633 cents 
Highest number of different intervals for one interval class: 8
Average number of different intervals per interval class: 6.92308 = 90/13
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10    11     12     13     14    
 0.0   : 48.8  150.6 165.0 315.6 480.6 515.6 582.5 617.5 782.5 933.1 947.5  1049.4 1098.1 1200.0
 48.8  : 101.9 116.2 266.9 431.9 466.9 533.7 568.7 733.7 884.4 898.7 1000.6 1049.4 1151.2 1200.0
 150.6 : 14.4  165.0 330.0 365.0 431.9 466.9 631.9 782.5 796.9 898.7 947.5  1049.4 1098.1 1200.0
 165.0 : 150.6 315.6 350.6 417.5 452.5 617.5 768.1 782.5 884.4 933.1 1035.0 1083.8 1185.6 1200.0
 315.6 : 165.0 200.0 266.9 301.8 466.9 617.5 631.9 733.7 782.5 884.4 933.1  1035.0 1049.4 1200.0
 480.6 : 35.0  101.9 136.8 301.8 452.5 466.9 568.7 617.5 719.4 768.1 870.0  884.4  1035.0 1200.0
 515.6 : 66.9  101.9 266.9 417.5 431.9 533.7 582.5 684.4 733.1 835.0 849.4  1000.0 1165.0 1200.0
 582.5 : 35.0  200.0 350.6 365.0 466.9 515.6 617.5 666.3 768.1 782.5 933.1  1098.1 1133.1 1200.0
 617.5 : 165.0 315.6 330.0 431.9 480.6 582.5 631.3 733.1 747.5 898.2 1063.2 1098.1 1165.0 1200.0
 782.5 : 150.6 165.0 266.9 315.6 417.5 466.3 568.1 582.5 733.1 898.2 933.1  1000.0 1035.0 1200.0
 933.1 : 14.4  116.2 165.0 266.9 315.6 417.5 431.9 582.5 747.5 782.5 849.4  884.4  1049.4 1200.0
 947.5 : 101.9 150.6 252.5 301.3 403.1 417.5 568.1 733.1 768.1 835.0 870.0  1035.0 1185.6 1200.0
 1049.4: 48.8  150.6 199.4 301.3 315.6 466.3 631.3 666.3 733.1 768.1 933.1  1083.8 1098.1 1200.0
 1098.1: 101.9 150.6 252.5 266.9 417.5 582.5 617.5 684.4 719.4 884.4 1035.0 1049.4 1151.2 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  14.3672   .. 165.0042 cents      12/11, 150.6371 cents              121/120, 14.3672 cents
  2:  101.8667  .. 315.6413 cents      198/175, 213.7746 cents            350/363,-63.1376 cents
  3:  136.8423  .. 350.6169 cents      198/175, 213.7746 cents            625/693,-178.7990 cents
  4:  266.8709  .. 431.8751 cents      11/10, 165.0042 cents              343/360,-83.7460 cents
  5:  315.6413  .. 480.6455 cents      11/10, 165.0042 cents              72/77,-116.2338 cents
  6:  417.5080  .. 617.4878 cents      55/49, 199.9798 cents              350/363,-63.1376 cents
  7:  431.8751  .. 768.1249 cents      7200/5929, 336.2497 cents          539/600,-185.6127 cents
  8:  582.5122  .. 782.4920 cents      55/49, 199.9798 cents              539/600,-185.6127 cents
  9:  719.3545  .. 884.3587 cents      11/10, 165.0042 cents              350/363,-63.1376 cents
 10:  768.1249  .. 933.1291 cents      11/10, 165.0042 cents              72/77,-116.2338 cents
 11:  849.3831  .. 1063.1577 cents     198/175, 213.7746 cents            343/360,-83.7460 cents
 12:  884.3587  .. 1098.1333 cents     198/175, 213.7746 cents            625/693,-178.7990 cents
 13:  1034.9958 .. 1185.6328 cents     12/11, 150.6371 cents              350/363,-63.1376 cents
SHOW DATA
Number of notes                     : 14
-- Interval properties --
Smallest interval                   : 121/120, 14.3672 cents, class 1
Average step (divided formal octave): 85.7143 cents
Largest one step interval           : 11/10, 165.0042 cents
Average / Smallest step             : 5.965983
Largest / Average step              : 1.925049
Largest / Smallest step             : 11.484811
Median interval of one step         : 84.37887 cents, amount: 0
Most common interval of one step    : 35/33, 101.8667 cents, amount: 3
Least squares average step          : 85.79934 cents, oct.:  1201.19077 cents
Scale is not proper
Step pattern alph. order: ABCDEFGFEDCBAB
Step pattern size order : CEAFGBDBGFAECE
Scale is not a Constant Structure
Scale diversity                     : 1.443058
Lumma stability                     : 0.023945
Lumma impropriety factor            : 0.830222
Number of different interval sizes  : 62 = 4.76923 / class
Number of one step interval sizes   : 7
Highest interval variety            : 8
Mean interval variety               : 6.92308 = 90/13
Median interval variety             : 6
Lowest interval variety             : 6
Smallest interval difference        : 3025/3024, 0.5724 cents
Number of recognisable fifths       : 2, average 719.3545 cents
Number of appreciable fifths        : 0
Scale contains a complete diamond   : 5 7
Length of longest harmonic part     : 2 at degree 8
Length of longest subharmonic part  : 2 at degree 3
Formal octave complements present   : 5 = 35.7143%
Limited inverse transpositions      :
 13
Inversional symmetry on intervals   :
 6-7 13-14
-- Rational properties --
Prime limit                         : 11
Odd number limit                    : 1331 (O: 1331 U: 1331)
Highest odd numerator or denominator: 121
Scale harmonicity                   : 0.008650
Average absolute harmonicity        : 0.113273
Specific harmonicity                : 0.068579
Fundamental                         : 1/80850, -16.3030 octaves, 0.0032 Hz.
Guide tone                          : 152460,  17.2181 octaves, 39887433.686 Hz.
Exponens Consonantiae               : 1.232639E+10, 33.52103 octaves
Euler's gradus suavitatis           : 70
Sum of Mann's harmonic distance     : 338.5, average 24.17857
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 15.77947, average 1.12710
Sum of Tenney's harmonic distance   : 31.77766, average 2.26983
Vogel's harmonic complexity         : 40.57143
Wille's k value                     : 74112
Wilson's harmonic complexity        : 78
Rectangular lattice diameter        : 12
Triangular lattice diameter         : 3
Lattice compactness                 : 257.88384, average 2.45604
Lattice compactness (without 2's)   : 210.60864, average 2.00580
Number of different primes          : 5
Prime exponents' range, average, count, tones@limit:
  2:  -1 .. 2         0.57143   14    1
  3:  -1 .. 2         0.50000   9
  5:  -2 .. 1        -0.50000   9     1
  7:  -2 .. 1        -0.50000   9     4
 11:  -1 .. 2         0.50000   9     8
Average exponent except 2's         : 0 / 14 = 0.00000
Average absolute exponent except 2's: 36 / 14 = 2.57143
Scale is weakly epimorphic with val: <14 20 30 36 45|
Scale is weakly epimorphic with val: <14 20 30 42 47|
Scale is weakly epimorphic with val: <14 20 32 38 51|
Scale is weakly epimorphic with val: <14 20 33 39 51|
Scale is weakly epimorphic with val: <14 21 30 36 46|
Scale is weakly epimorphic with val: <14 21 31 37 46|
Scale is weakly epimorphic with val: <14 21 32 37 45|
Scale is weakly epimorphic with val: <14 22 31 37 47|
Scale is weakly epimorphic with val: <14 22 32 38 47|
Scale is weakly epimorphic with val: <14 22 33 37 45|
Scale is weakly epimorphic with val: <14 22 33 38 46|
Scale is weakly epimorphic with val: <14 23 31 36 47|
Scale is weakly epimorphic with val: <14 23 32 38 48|
Scale is weakly epimorphic with val: <14 23 33 36 45|
Scale is weakly epimorphic with val: <14 23 33 39 48|
Scale is weakly epimorphic with val: <14 23 34 38 46|
Scale is weakly epimorphic with val: <14 23 34 39 47|
Scale is weakly epimorphic with val: <14 24 32 36 47|
Scale is weakly epimorphic with val: <14 24 32 37 48|
Scale is weakly epimorphic with val: <14 24 33 36 46|
Scale is weakly epimorphic with val: <14 24 33 39 49|
Scale is weakly epimorphic with val: <14 24 34 37 46|
Scale is weakly epimorphic with val: <14 24 34 40 49|
Scale is weakly epimorphic with val: <14 24 35 39 47|
Scale is weakly epimorphic with val: <14 24 35 40 48|
FIT/MODE
 14:  1 1 0 2 2 0 1 0 2 2 0 1 1 1   N        SD: 19.3759 c. M:-36.9439 c. 
 15:  1 1 0 2 2 1 0 1 2 2 0 1 1 1   N        SD: 20.4262 c. M:-44.3789 c. 
 18:  1 1 0 3 2 1 1 0 3 2 0 2 0 2   N        SD: 18.6188 c. M: 31.6709 c. 
 19:  1 1 1 2 3 0 1 1 2 3 0 2 0 2   N        SD: 17.9380 c. M:-24.6176 c. 
 22:  1 2 0 3 3 0 2 0 3 3 0 2 1 2   N        SD: 13.8543 c. M: 24.7120 c. 
 23:  1 2 0 3 3 1 1 1 3 3 0 2 1 2   N        SD: 6.4355 c. M: 11.0803 c. 
 47:  2 4 0 6 7 1 3 1 7 6 0 4 2 4   N        SD: 6.2978 c. M: 11.8127 c. 
 48:  2 4 1 6 6 2 2 2 6 6 1 4 2 4   N        SD: 6.2934 c. M:-9.9958 c. 
 49:  2 4 1 6 7 1 3 1 7 6 1 4 2 4   N        SD: 4.6093 c. M:-9.1504 c. 
 58:  2 5 1 7 8 2 3 2 8 7 1 5 2 5   N        SD: 4.0972 c. M: 7.3911 c. 
 72:  3 6 1 9 10 2 4 2 10 9 1 6 3 6   N        SD: 1.3708 c. M:-2.6878 c. 
 95:  4 8 1 12 13 3 5 3 13 12 1 8 4 8   N        SD: 1.1669 c. M:-2.2736 c. 
 153: 6 13 2 19 21 5 8 5 21 19 2 13 6 13   N        SD: 1.5948 c. M: 2.2141 c. 
 167: 7 14 2 21 23 5 9 5 23 21 2 14 7 14   N        SD: 0.8912 c. M:-1.7441 c. 
 175: 7 15 2 22 24 5 10 5 24 22 2 15 7 15   N        SD: 0.6930 c. M: 1.3354 c. 
 247: 10 21 3 31 34 7 14 7 34 31 3 21 10 21   N        SD: 0.3075 c. M: 0.6414 c. 
 342: 14 29 4 43 47 10 19 10 47 43 4 29 14 29   N        SD: 0.1647 c. M:-0.3524 c. 
 589: 24 50 7 74 81 17 33 17 81 74 7 50 24 50   N        SD: 0.1270 c. M: 0.1712 c. 
 931: 38 79 11 117 128 27 52 27 128 117 11 79 38 79   N        SD: 0.1165 c. M:-0.2092 c. 
 1236: 50 105 15 155 170 36 69 36 170 155 15 105 50 105   N        SD: 0.1033 c. M: 0.2267 c. 
 1331: 54 113 16 167 183 39 74 39 183 167 16 113 54 113   N        SD: 0.0713 c. M: 0.1046 c. 
 1578: 64 134 19 198 217 46 88 46 217 198 19 134 64 134   N        SD: 0.0458 c. M: 0.1012 c. 
 1673: 68 142 20 210 230 49 93 49 230 210 20 142 68 142   N        SD: 0.0521 c. M:-0.0991 c. 
 1920: 78 163 23 241 264 56 107 56 264 241 23 163 78 163   N        SD: 0.0116 c. M: 0.0205 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 3 x x x x 4  S SD: 40.2685 cents
 3 x x x x 4 x x x x 5 x x x 6  S SD: 17.2604 cents
 4 x x x 5 x x x x 6 x 7 x x 8  S SD: 27.3127 cents
 5 x x x 6 x x 7 x 8 x x 9 x 10  S SD: 8.9044 cents
 6 x x x 7:8 x x x 9:10 x 11 x 12  S SD: 17.9088 cents
 7 x x 8 x 9 x x 10:11:12 x 13 x 14  S SD: 11.9124 cents
 8 x x 9:10 x x 11 x 13 x 14 x 15:16    SD: 15.2541 cents
 9 x x 10:11:12 x x 13:14:15:16 x 17:18  S SD: 9.3213 cents
 10 x x 11:12:13 x 14 x 16:17 x 18:19:20  S SD: 6.1478 cents
 11 x 12 x 13 x 15 x 16:17 x 19:20:21:22    SD: 6.6873 cents
 12 x 13 x 14:16 x x 17:19 x 21:22:23:24    SD: 7.4177 cents
 13 x 14 x 16:17 x 18:19:20:22 x 24:25:26  S SD: 8.8062 cents
 14 x 15 x 17:18:19 x 20:22:24 x 26 x 28    SD: 7.1479 cents
 15 x 16:17:18:20 x 21 x 24 x 26 x 28:30  S SD: 8.4563 cents
 16 x 17:18:19:21 x 22:23:25:27:28:29:30:32    SD: 6.9223 cents
 17:18 x 19:20:22:23:24 x 27:29 x 31:32:34    SD: 7.2754 cents
 18:19 x 20:22:24 x 25:26:28 x 31:33:34:36    SD: 6.1246 cents
 19:20 x 21:23:25:26 x 27:30 x 33:35:36:38    SD: 5.0099 cents
 20:21 x 22:24:26:27:28:29:31:34:35:37:38:40    SD: 5.0435 cents
 21:22:23 x 25:28 x 29:30:33:36 x 39:40:42    SD: 4.9069 cents
 22:23:24 x 26:29:30:31 x 35 x 38:40:41:44    SD: 5.1088 cents
 23:24:25 x 28:30:31:32:33:36:39:40:42:43:46    SD: 3.9718 cents
 24:25:26 x 29:32 x x 34:38:41 x 44:45:48    SD: 3.9821 cents
 25:26:27:28:30:33:34:35:36:39:43 x 46:47:50    SD: 3.7457 cents
 26:27:28:29:31:34:35:36:37:41 x 45:48:49:52    SD: 3.7195 cents
 27:28:29:30:32:36 x 38:39:42:46:47:50:51:54    SD: 4.4365 cents
 28:29 x 31:34:37:38:39:40:44:48 x 51:53:56    SD: 2.7783 cents
 29:30 x 32:35:38:39:41 x 46 x 50:53:55:58    SD: 3.0063 cents
 30:31 x 33:36:40 x 42:43:47:51:52:55:57:60    SD: 2.4019 cents
 31:32 x 34:37:41:42:43:44:49:53:54:57:58:62    SD: 2.6201 cents
 32:33:35 x 38:42:43:45:46:50:55 x 59:60:64    SD: 2.5957 cents
 33:34:36 x 40:44 x 46:47:52 x 57:61:62:66    SD: 2.8255 cents
 34:35:37 x 41:45:46:48:49:53:58:59:62:64:68    SD: 2.4581 cents
 35:36:38:39:42:46:47:49:50:55:60:61:64:66:70    SD: 2.1124 cents
 36:37:39:40:43:48 x 50:51:57 x 62:66:68:72    SD: 3.1593 cents
 37:38:40:41:44:49:50:52:53:58:63:64:68:70:74    SD: 2.2556 cents
 39:40 x 43:47:51:53:55:56:61:67 x 72:74:78    SD: 2.8543 cents
 40:41 x 44:48:53:54:56:57:63 x 69:73:75:80    SD: 1.4460 cents
 41:42 x 45:49:54:55:57:59:64:70:71:75:77:82    SD: 2.0956 cents
 42:43:46 x 50:55:57:59:60:66:72:73:77:79:84    SD: 2.1853 cents
 43:44:47 x 52:57:58:60:61:68:74 x 79:81:86    SD: 2.1909 cents
 44:45:48 x 53:58:59:62:63:69:75:76:81:83:88    SD: 1.7377 cents
 47:48:51:52:56:62:63:66:67:74 x 81:86:89:94    SD: 2.0408 cents
 49:50:53:54:59:65:66:69:70:77:84:85:90:92:98    SD: 1.9328 cents
 50:51 x 55:60:66:67:70:71:79:86 x 92:94:100    SD: 2.0196 cents
 51:52 x 56:61:67:69:71:73:80:87:88:94:96:102    SD: 2.0219 cents
 52:53 x 57:62:69:70:73:74:82:89:90:95:98:104    SD: 1.9568 cents
 53:55:58 x 64:70:71:74:76:83:91:92:97:100:106    SD: 1.9505 cents
 54:56:59 x 65:71:73:76:77:85 x 93:99:102:108    SD: 1.8151 cents
 56:58:61:62:67:74:75:78:80:88:96:97:103:106:112    SD: 1.7034 cents
 58:60:63:64:70:77:78:81:83:91:99:100:106:109:116    SD: 1.6939 cents
 59:61:64:65:71:78:79:83:84:93:101:102:108:111:118    SD: 1.5674 cents
 60:62:65:66:72:79:81:84:86:94:103:104:110:113:120    SD: 1.3135 cents
 61:63 x 67:73:81:82:85:87:96:105 x 112:115:122    SD: 1.5246 cents
 62:64 x 68:74:82:84:87:89:97:106:107:114:117:124    SD: 1.6604 cents
 63:65:69 x 76:83:85:88:90:99:108:109:116:119:126    SD: 1.2425 cents
 64:66:70 x 77:84:86:90:91:101:110:111:117:121:128    SD: 1.6377 cents
 65:67:71:72:78:86:88:91:93:102:111:112:119:123:130    SD: 1.4088 cents
 66:68:72:73:79:87:89:92:94:104:113:114:121:124:132    SD: 1.1985 cents
 70:72:76:77:84:92:94:98:100:110:120:121:128:132:140    SD: 0.9384 cents
 72:74 x 79:86:95:97:101:103:113:123:124:132:136:144    SD: 1.0709 cents
 73:75 x 80:88:96:98:102:104:115:125:126:134:138:146    SD: 1.2627 cents
 74:76:81 x 89:98:100:104:106:116:127:128:136:140:148    SD: 1.2401 cents
 75:77:82:83:90:99:101:105:107:118:129:130:138:141:150    SD: 1.1678 cents
 77:79:84:85:92:102:104:108:110:121:132:133:141:145:154    SD: 0.9976 cents
 80:82:87:88:96:106:108:112:114:126:137:138:147:151:160    SD: 0.9906 cents
 83:85 x 91:100:110:112:116:119:130:142:143:152:157:166    SD: 1.4453 cents
 84:86:92 x 101:111:113:118:120:132:144:145:154:158:168    SD: 1.0632 cents
 89:92:97:98:107:117:120:125:127:140:153:154:163:168:178    SD: 1.0465 cents
 90:93:98:99:108:119:121:126:129:141:154:156:165:170:180    SD: 0.9982 cents
 91:94:99:100:109:120:123:127:130:143:156:157:167:172:182    SD: 0.9834 cents
 94:97 x 103:113:124:127:132:134:148:161:162:172:177:188    SD: 1.1264 cents
 95:98:104:105:114:125:128:133:136:149:163:164:174:179:190    SD: 1.0047 cents
 96:99:105:106:115:127:129:134:137:151:165:166:176:181:192    SD: 0.9507 cents
 98:101:107:108:118:129:132:137:140:154:168:169:180:185:196    SD: 0.7792 cents
 100:103:109:110:120:132:135:140:143:157:171:173:183:189:200    SD: 0.6185 cents
 110:113:120:121:132:145:148:154:157:173:189:190:202:207:220    SD: 0.5382 cents
 140:144:153:154:168:185:189:196:200:220:240:242:257:264:280    SD: 0.4137 cents
 199:205:217:219:239:263:268:279:284:313:341:344:365:375:398    SD: 0.3852 cents
 200:206:218:220:240:264:269:280:286:314:343:346:367:377:400    SD: 0.3573 cents
 210:216:229:231:252:277:283:294:300:330:360:363:385:396:420    SD: 0.1195 cents
 450:463:491:495:540:594:606:630:643:707:771:778:825:849:900    SD: 0.1145 cents
 550:566:600:605:660:726:741:770:786:864:943:951:1008:1037:1100    SD: 0.1106 cents
 560:576:611:616:672:739:754:784:800:880:960:968:1027:1056:1120    SD: 0.0726 cents