Scala analysis: Sp43lim_high_contr

Sparschuh's 43-limit 'high-key-contrast' bi-epimoric well-temp. [2010]

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:       1376/1305           91.716796
  2:       1462/1305          196.672205
  3:        172/145           295.626798
  4:        344/275           387.572336
  5:      29584/22185         498.279092
  6:       5504/3915          589.761795
  7:       3784/2523          701.726259
  8:        688/435           793.671797
  9:       4128/2465          892.626389
 10:      29240/16443         996.563725
 11:     118366/63075        1089.737433
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:      63075/59183         110.2626 
  1:       1376/1305           91.7168 
  2:         17/16            104.9554 17th harmonic
  3:         18/17             98.9546 Arabic lute index finger
  4:         58/55             91.9455 
  5:       4730/4437          110.7068 
  6:        136/129            91.4827 
  7:        495/464           111.9645 
  8:         58/55             91.9455 
  9:         18/17             98.9546 Arabic lute index finger
 10:       7225/6804          103.9373 
 11:   11185587/10599500       93.1737 
 12:      63075/59183         110.2626 
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 136/129             91.483 cents   
  1:   1 1376/1305           91.717 cents   
  1:   2 58/55               91.946 cents   
  1:   1 11185587/10599500   93.174 cents   
  1:   2 18/17               98.955 cents   Arabic lute index finger
  1:   1 7225/6804           103.937 cents  
  1:   1 17/16               104.955 cents  17th harmonic
  1:   1 63075/59183         110.263 cents  
  1:   1 4730/4437           110.707 cents  
  1:   1 495/464             111.964 cents  
  2:   2 1044/935            190.900 cents  
  2:   1 1462/1305           196.672 cents  
  2:   1 1006111/897840      197.111 cents  
  2:   1 199520/177549       201.979 cents  
  2:   1 880/783             202.189 cents  
  2:   1 172/153             202.652 cents  
  2:   1 425/378             202.892 cents  
  2:   1 16443/14620         203.436 cents  
  2:   1 2805/2494           203.447 cents  
  2:   2 9/8                 203.910 cents  major whole tone
  3:   1 32/27               294.135 cents  Pythagorean minor third
  3:   1 2465/2079           294.837 cents  
  3:   1 504/425             295.153 cents  
  3:   1 51/43               295.393 cents  
  3:   1 172/145             295.627 cents  
  3:   1 261/220             295.856 cents  
  3:   1 59183/49880         296.066 cents  
  3:   1 344/289             301.607 cents  
  3:   1 81/68               302.865 cents  Persian wosta
  3:   1 211990/177549       306.935 cents  
  3:   1 2465/2064           307.374 cents  
  3:   1 3025/2523           314.154 cents  
  4:   1 344/275             387.572 cents  
  4:   1 59183/47300         388.011 cents  
  4:   1 64/51               393.090 cents  
  4:   1 54/43               394.347 cents  
  4:   1 34/27               399.090 cents  septendecimal major third
  4:   1 63/50               400.108 cents  quasi-equal major third
  4:   1 74820/59183         405.889 cents  
  4:   2 110/87              406.099 cents  
  4:   1 435/344             406.328 cents  
  4:   1 43/34               406.562 cents  
  4:   1 425/336             406.802 cents  
  5:   1 867912/651013       497.835 cents  
  5:   3 4/3                 498.045 cents  perfect fourth
  5:   1 2523/1892           498.274 cents  
  5:   1 29584/22185         498.279 cents  
  5:   1 7225/5418           498.285 cents  
  5:   1 567/425             499.063 cents  
  5:   1 532647/399040       499.976 cents  
  5:   1 289/216             504.046 cents  
  5:   2 660/493             505.054 cents  
  6:   1 5504/3915           589.762 cents  
  6:   1 232/165             589.991 cents  
  6:   1 32886/23375         591.009 cents  
  6:   1 3018333/2144840     591.458 cents  
  6:   2 24/17               597.000 cents  1st septendecimal tritone
  6:   2 17/12               603.000 cents  2nd septendecimal tritone
  6:   1 4289680/3018333     608.542 cents  
  6:   1 23375/16443         608.991 cents  
  6:   1 165/116             610.009 cents  
  6:   1 3915/2752           610.238 cents  
  7:   2 493/330             694.946 cents  
  7:   1 432/289             695.954 cents  
  7:   1 798080/532647       700.024 cents  
  7:   1 850/567             700.937 cents  
  7:   1 10836/7225          701.715 cents  
  7:   1 22185/14792         701.721 cents  
  7:   1 3784/2523           701.726 cents  
  7:   3 3/2                 701.955 cents  perfect fifth
  7:   1 651013/433956       702.165 cents  
  8:   1 672/425             793.198 cents  
  8:   1 68/43               793.438 cents  
  8:   1 688/435             793.672 cents  
  8:   2 87/55               793.901 cents  
  8:   1 59183/37410         794.111 cents  
  8:   1 100/63              799.892 cents  quasi-equal minor sixth
  8:   1 27/17               800.910 cents  septendecimal minor sixth
  8:   1 43/27               805.653 cents  
  8:   1 51/32               806.910 cents  
  8:   1 94600/59183         811.989 cents  
  8:   1 275/172             812.428 cents  
  9:   1 5046/3025           885.846 cents  
  9:   1 4128/2465           892.626 cents  
  9:   1 177549/105995       893.065 cents  
  9:   1 136/81              897.135 cents  
  9:   1 289/172             898.393 cents  
  9:   1 99760/59183         903.934 cents  
  9:   1 440/261             904.144 cents  
  9:   1 145/86              904.373 cents  
  9:   1 86/51               904.607 cents  
  9:   1 425/252             904.847 cents  
  9:   1 4158/2465           905.163 cents  
  9:   1 27/16               905.865 cents  Pythagorean major sixth
 10:   2 16/9                996.090 cents  Pythagorean minor seventh
 10:   1 4988/2805           996.553 cents  
 10:   1 29240/16443         996.564 cents  
 10:   1 756/425             997.108 cents  
 10:   1 153/86              997.348 cents  
 10:   1 783/440             997.811 cents  
 10:   1 177549/99760        998.021 cents  
 10:   1 1795680/1006111     1002.889 cents 
 10:   1 1305/731            1003.328 cents 
 10:   2 935/522             1009.100 cents 
 11:   1 928/495             1088.036 cents 
 11:   1 4437/2365           1089.293 cents 
 11:   1 118366/63075        1089.737 cents 
 11:   1 32/17               1095.045 cents 17th subharmonic
 11:   1 13608/7225          1096.063 cents 
 11:   2 17/9                1101.045 cents septendecimal major seventh
 11:   1 21199000/11185587   1106.826 cents 
 11:   2 55/29               1108.054 cents 
 11:   1 1305/688            1108.283 cents 
 11:   1 129/68              1108.517 cents 
Highest number of different intervals for one interval class: 12
Average number of different intervals per interval class: 10.36364 = 114/11
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12    
 0.0   : 91.7  196.7 295.6 387.6 498.3 589.8 701.7 793.7 892.6 996.6  1089.7 1200.0
 91.7  : 105.0 203.9 295.9 406.6 498.0 610.0 702.0 800.9 904.8 998.0  1108.3 1200.0
 196.7 : 99.0  190.9 301.6 393.1 505.1 597.0 696.0 799.9 893.1 1003.3 1095.0 1200.0
 295.6 : 91.9  202.7 294.1 406.1 498.0 597.0 700.9 794.1 904.4 996.1  1101.0 1200.0
 387.6 : 110.7 202.2 314.2 406.1 505.1 609.0 702.2 812.4 904.1 1009.1 1108.1 1200.0
 498.3 : 91.5  203.4 295.4 394.3 498.3 591.5 701.7 793.4 898.4 997.3  1089.3 1200.0
 589.8 : 112.0 203.9 302.9 406.8 500.0 610.2 702.0 806.9 905.9 997.8  1108.5 1200.0
 701.7 : 91.9  190.9 294.8 388.0 498.3 590.0 694.9 793.9 885.8 996.6  1088.0 1200.0
 793.7 : 99.0  202.9 296.1 406.3 498.0 603.0 702.0 793.9 904.6 996.1  1108.1 1200.0
 892.6 : 103.9 197.1 307.4 399.1 504.0 603.0 694.9 805.7 897.1 1009.1 1101.0 1200.0
 996.6 : 93.2  203.4 295.2 400.1 499.1 591.0 701.7 793.2 905.2 997.1  1096.1 1200.0
 1089.7: 110.3 202.0 306.9 405.9 497.8 608.5 700.0 812.0 903.9 1002.9 1106.8 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  91.4827   .. 111.9645 cents      63855/63104, 20.4818 cents         136/129, 91.4827 cents
  2:  190.9001  .. 203.9100 cents      935/928, 13.0099 cents             53824/51425, 78.9357 cents
  3:  294.1350  .. 314.1539 cents      27225/26912, 20.0189 cents         256/243, 90.2250 cents
  4:  387.5723  .. 406.8019 cents      116875/115584, 19.2296 cents       867912/831875, 73.4184 cents
  5:  497.8349  .. 505.0541 cents      35805715/35656718, 7.2192 cents    291618432/276680525, 91.0330 cents
  6:  589.7618  .. 610.2382 cents      15327225/15147008, 20.4764 cents   23392/22275, 84.7077 cents
  7:  694.9459  .. 702.1651 cents      35805715/35656718, 7.2192 cents    23392/22275, 84.7077 cents
  8:  793.1981  .. 812.4277 cents      116875/115584, 19.2296 cents       291618432/276680525, 91.0330 cents
  9:  885.8461  .. 905.8650 cents      27225/26912, 20.0189 cents         867912/831875, 73.4184 cents
 10:  996.0900  .. 1009.0999 cents     935/928, 13.0099 cents             256/243, 90.2250 cents
 11:  1088.0355 .. 1108.5173 cents     63855/63104, 20.4818 cents         53824/51425, 78.9357 cents
SHOW DATA
Number of notes                     : 12
-- Interval properties --
Smallest interval                   : 136/129, 91.4827 cents, class 1
Average step (divided formal octave): 100.0000 cents
Largest one step interval           : 495/464, 111.9645 cents
Average / Smallest step             : 1.093103
Largest / Average step              : 1.119645
Largest / Smallest step             : 1.223887
Median interval of one step         : 18/17, 98.9546 cents, amount: 2
Least squares average step          : 99.38468 cents, oct.:  1192.61616 cents
Scale is strictly proper
Step pattern alph. order: ABCDEFGDCHIJ
Step pattern size order : BGECIAJCEFDH
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 73.41841 cents
Scale diversity                     : 1.124892
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.849671
Rothenberg efficiency               : 0.188889   redundancy: 0.811111
Efficiency x scale size             : 2.266667
Number of different interval sizes  : 114 = 10.36364 / class
Number of one step interval sizes   : 10
Highest interval variety            : 12
Mean interval variety               : 10.36364 = 114/11
Median interval variety             : 9
Lowest interval variety             : 9
Smallest interval difference        : 55972928/55972755, 0.0054 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 3
Most common triad is 0.0 498.045 701.955 cents, amount: 2
Number of recognisable fifths       : 12, average 700.0000 cents
Best fifths form a closed circle
Formal octave complements present   : 1 = 8.3333%
Limited transpositions with margin 20.4764 cents:
 2 5 7 9 10
Limited inverse transpositions with margin 20.2477 cents:
 1 2 4 6 9 11
-- Rational properties --
Prime limit                         : 59183
Odd number limit                    : 11185587 (O: 11185587 U: 11185587)
Highest odd numerator or denominator: 63075
Harmonicity values                  : limit above prime count
Fundamental                         : too low to compute
Guide tone                          : too high to compute
Sum of Mann's harmonic distance     : 154361.0, average 12863.41667
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 37.21877, average 3.10156
Sum of Tenney's harmonic distance   : 76.37768, average 6.36481
Vogel's harmonic complexity         : too high to compute
Wille's k value                     : too high to compute
Lattice compactness                 : 286.38550, average 3.67161
Lattice compactness (without 2's)   : 194.58854, average 2.49472
Number of different primes          : 9
Prime exponents' range, average, count, tones@limit:
  2:   1 .. 7         3.25000   39    1
  3:  -4 .. 1        -1.25000   17
  5:  -2 .. 1        -0.83333   12
  7:  -1 .. 0        -0.08333   1
 11:  -1 .. 1         0.00000   2
 17:  -1 .. 1         0.00000   4
 29:  -2 .. 0        -1.00000   12
 43:   0 .. 2         0.91667   11    10
 59183:  0 .. 1       0.08333   1     1
Average exponent except 2's         :-26 / 12 =-2.16667
Average absolute exponent except 2's: 60 / 12 = 5.00000
FIT/MODE
 12:  1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 6.9256 c. M:-12.4277 c.  Twelve-tone Chromatic (1/11-comma)
 41:  3 4 3 3 4 3 4 3 3 4 3 4  SP M ME   SD: 6.0178 c. M: 14.5776 c.  Schismic-12
 43:  3 4 4 3 4 3 4 3 4 4 3 4  SP M ME   SD: 6.2517 c. M: 12.2764 c.  Meantone Chromatic (1/5-comma)
 49:  4 4 4 4 4 4 5 3 4 5 3 5  SP   D3   SD: 7.2715 c. M: 12.1864 c. 
 51:  4 4 4 4 5 4 5 4 4 4 4 5  SP   D3   SD: 6.9491 c. M: 13.2739 c. 
 53:  4 5 4 4 5 4 5 4 4 5 4 5  SP M ME   SD: 3.7005 c. M: 9.6075 c.  Schismic-12
 62:  5 5 5 5 6 4 6 5 5 5 5 6  SP   D3   SD: 5.2055 c. M: 9.4670 c. 
 63:  5 5 5 5 6 5 6 5 5 5 5 6  SP   D3   SD: 5.0987 c. M: 9.9125 c. 
 65:  5 6 5 5 6 5 6 5 5 6 5 6  SP M ME   SD: 2.6589 c. M: 6.4725 c. 
 77:  6 7 6 6 7 6 7 6 6 7 6 7  SP M ME   SD: 2.4327 c. M:-5.9252 c. 
 89:  7 8 7 7 8 7 8 7 7 8 7 8  SP M ME   SD: 2.6138 c. M:-5.5750 c. 
 94:  7 8 8 7 9 7 9 7 8 8 7 9  SP   D3   SD: 2.7708 c. M: 5.1828 c. 
 106: 8 9 9 8 10 8 10 8 9 9 8 10  SP   D3   SD: 1.8781 c. M: 4.2194 c. 
 118: 9 10 10 9 11 9 11 9 10 10 9 11  SP   D3   SD: 1.3465 c. M: 3.4519 c. 
 130: 10 11 11 10 12 10 12 10 11 11 10 12  SP   D3   SD: 1.2082 c. M: 2.8261 c. 
 171: 13 15 14 13 16 13 16 13 14 15 13 16  SP        SD: 0.9238 c. M: 2.0181 c. 
 183: 14 16 15 14 17 14 17 14 15 16 14 17  SP        SD: 0.5148 c. M: 1.2128 c. 
 195: 15 17 16 15 18 15 18 15 16 17 15 18  SP        SD: 0.4170 c. M:-1.0074 c. 
 378: 29 33 31 29 35 29 35 29 31 33 29 35  SP        SD: 0.4104 c. M: 0.8485 c. 
 508: 39 44 42 39 47 39 47 39 42 44 39 47  SP        SD: 0.4186 c. M:-0.7894 c. 
 511: 39 45 42 39 47 39 48 39 42 44 40 47  SP        SD: 0.3826 c. M: 0.8690 c. 
 523: 40 46 43 40 48 40 49 40 43 45 41 48  SP        SD: 0.3592 c. M: 0.7702 c. 
 535: 41 47 44 41 49 41 50 41 44 46 42 49  SP        SD: 0.4016 c. M:-0.7110 c. 
 573: 44 50 47 44 53 44 53 44 47 50 44 53  SP        SD: 0.3998 c. M:-0.8141 c. 
 600: 46 52 50 46 55 46 56 46 49 52 47 55  SP        SD: 0.4032 c. M: 0.6722 c. 
 612: 47 53 51 47 56 47 57 47 50 53 48 56  SP        SD: 0.4431 c. M:-0.6630 c. 
 617: 47 54 51 47 57 47 58 47 51 53 48 57  SP        SD: 0.4016 c. M: 0.7777 c. 
 629: 48 55 52 48 58 48 59 48 52 54 49 58  SP        SD: 0.3065 c. M: 0.6973 c. 
 641: 49 56 53 49 59 49 60 49 53 55 50 59  SP        SD: 0.2552 c. M: 0.6199 c. 
 653: 50 57 54 50 60 50 61 50 54 56 51 60  SP        SD: 0.2659 c. M: 0.5453 c. 
 706: 54 62 58 54 65 54 66 54 58 61 55 65  SP        SD: 0.2608 c. M: 0.5297 c. 
 718: 55 63 59 55 66 55 67 55 59 62 56 66  SP        SD: 0.2628 c. M:-0.5423 c. 
 812: 62 71 67 62 75 62 76 62 67 70 63 75  SP        SD: 0.2732 c. M: 0.5749 c. 
 824: 63 72 68 63 76 63 77 63 68 71 64 76  SP        SD: 0.2088 c. M: 0.4472 c. 
 836: 64 73 69 64 77 64 78 64 69 72 65 77  SP        SD: 0.1847 c. M: 0.3915 c. 
 848: 65 74 70 65 78 65 79 65 70 73 66 78  SP        SD: 0.2105 c. M: 0.3373 c. 
 1019: 78 89 84 78 94 78 95 78 84 88 79 94  SP        SD: 0.1843 c. M: 0.4342 c. 
 1031: 79 90 85 79 95 79 96 79 85 89 80 95  SP        SD: 0.1792 c. M:-0.3449 c. 
 1219: 93 107 100 94 112 93 114 93 101 105 95 112  SP        SD: 0.2109 c. M: 0.3373 c. 
 1226: 94 107 101 94 113 94 114 94 101 106 95 113  SP        SD: 0.1958 c. M:-0.4503 c. 
 1270: 97 111 105 97 117 97 119 97 105 110 98 117  SP        SD: 0.2139 c. M: 0.3263 c. 
 1282: 98 112 106 98 118 98 120 98 106 111 99 118  SP        SD: 0.2036 c. M:-0.3533 c. 
 1308: 100 114 108 100 121 100 122 100 108 113 102 120  SP        SD: 0.1993 c. M: 0.4164 c. 
 1320: 101 115 109 101 122 101 123 101 109 114 103 121  SP        SD: 0.1871 c. M: 0.3086 c. 
 1335: 102 117 110 102 123 102 125 102 110 116 103 123  SP        SD: 0.1903 c. M: 0.3016 c. 
 1347: 103 118 111 103 124 103 126 103 111 117 104 124  SP        SD: 0.1775 c. M:-0.3182 c. 
 1359: 104 119 112 104 125 104 127 104 112 118 105 125  SP        SD: 0.1856 c. M:-0.3458 c. 
 1371: 105 120 113 105 126 105 128 105 113 119 106 126  SP        SD: 0.2112 c. M:-0.3728 c. 
 1373: 105 120 113 105 127 105 128 105 113 119 107 126  SP        SD: 0.1825 c. M: 0.3910 c. 
 1385: 106 121 114 106 128 106 129 106 114 120 108 127  SP        SD: 0.1679 c. M: 0.2799 c. 
 1428: 109 125 118 109 132 109 133 109 118 124 111 131  SP        SD: 0.1666 c. M: 0.3945 c. 
 1440: 110 126 119 110 133 110 134 110 119 125 112 132  SP        SD: 0.1643 c. M: 0.3385 c. 
 1514: 116 132 125 116 140 115 141 116 125 131 118 139  SP        SD: 0.1806 c. M: 0.2768 c. 
 1515: 116 132 125 116 140 116 141 116 125 131 118 139  SP        SD: 0.1689 c. M:-0.3372 c. 
 1554: 119 136 128 119 143 119 145 119 128 135 120 143  SP        SD: 0.1838 c. M:-0.3475 c. 
 1558: 119 136 129 119 144 119 145 119 129 135 121 143  SP        SD: 0.1637 c. M: 0.3470 c. 
 1592: 122 139 131 122 147 121 149 122 131 138 124 146  SP        SD: 0.1543 c. M: 0.3146 c. 
 1604: 123 140 132 123 148 122 150 123 132 139 125 147  SP        SD: 0.1519 c. M:-0.3032 c. 
 1612: 123 141 133 124 148 123 151 123 133 140 125 148  SP        SD: 0.1753 c. M:-0.2689 c. 
 1616: 124 141 133 124 149 123 151 124 133 140 126 148  SP        SD: 0.1663 c. M:-0.3624 c. 
 1623: 124 142 134 124 150 124 151 124 134 141 126 149  SP        SD: 0.1524 c. M: 0.3261 c. 
 1628: 124 143 134 125 150 124 152 125 134 141 126 150  SP        SD: 0.1509 c. M: 0.3163 c. 
 1640: 125 144 135 126 151 125 153 126 135 142 127 151  SP        SD: 0.1447 c. M: 0.2534 c. 
 1710: 131 149 141 131 158 130 160 131 141 148 133 157  SP        SD: 0.1452 c. M: 0.2881 c. 
 1722: 132 150 142 132 159 131 161 132 142 149 134 158  SP        SD: 0.1340 c. M:-0.2693 c. 
 1775: 136 155 146 136 164 135 166 136 146 154 138 163  SP        SD: 0.1440 c. M: 0.2407 c. 
 1777: 136 155 147 136 164 135 166 136 147 154 138 163  SP        SD: 0.1456 c. M: 0.2289 c. 
 1787: 137 156 147 137 165 136 167 137 147 155 139 164  SP        SD: 0.1315 c. M:-0.2810 c. 
 1811: 138 159 149 139 167 138 169 139 149 157 141 166  SP        SD: 0.1309 c. M: 0.2756 c. 
 1842: 141 161 152 141 170 140 172 141 152 160 143 169  SP        SD: 0.1312 c. M: 0.1865 c. 
 1893: 145 165 156 145 175 144 177 145 156 164 147 174  SP        SD: 0.1407 c. M: 0.2506 c. 
 1898: 145 166 157 145 175 145 177 145 157 164 148 174  SP        SD: 0.1399 c. M:-0.2636 c. 
 1905: 145 167 157 146 176 145 178 146 157 165 148 175  SP        SD: 0.1460 c. M: 0.3782 c. 
 1917: 147 167 158 147 177 146 179 147 158 166 149 176  SP        SD: 0.1160 c. M:-0.3020 c. 
 1929: 147 169 159 148 178 147 180 148 159 167 150 177  SP        SD: 0.1085 c. M: 0.2705 c. 
 2100: 160 184 173 161 194 160 196 161 173 182 163 193  SP        SD: 0.1159 c. M: 0.2882 c. 
 2112: 161 185 174 162 195 161 197 162 174 183 164 194  SP        SD: 0.0949 c. M: 0.2395 c. 
 2124: 162 186 175 163 196 162 198 163 175 184 165 195  SP        SD: 0.0880 c. M: 0.1914 c. 
 2136: 163 187 176 164 197 163 199 164 176 185 166 196  SP        SD: 0.0976 c. M:-0.1502 c. 
 2295: 175 201 189 176 212 175 214 176 189 199 178 211  SP        SD: 0.1015 c. M: 0.2135 c. 
 2307: 176 202 190 177 213 176 215 177 190 200 179 212  SP        SD: 0.0865 c. M: 0.1782 c. 
 2319: 177 203 191 178 214 177 216 178 191 201 180 213  SP        SD: 0.0854 c. M: 0.1546 c. 
FIT/HARMONIC
 1 x x x x x x x x x x x 2  S SD: 0.0000 cents
 2 x x x x x x 3 x x x x 4  S SD: 0.1144 cents
 3 x x x x 4 x x x 5 x x 6  S SD: 2.7570 cents
 4 x x x 5 x x 6 x x 7 x 8  S SD: 6.9418 cents
 5 x x 6 x x 7 x 8 x 9 x 10  S SD: 7.2002 cents
 6 x x 7 x 8 x 9 x 10 x 11:12  S SD: 8.3757 cents
 7 x 8 x 9 x 10 x 11:12 x 13:14  S SD: 11.3454 cents
 8 x 9 x 10 x 11:12:13 x 14:15:16  S SD: 8.3843 cents
 9 x 10 x 11:12:13 x 14:15:16:17:18  S SD: 7.8847 cents
 10 x 11:12 x 13:14:15:16:17:18:19:20  S SD: 7.3336 cents
 11 x 12:13:14:15 x x 17:18:20:21:22    SD: 11.1766 cents
 12:13 x 14:15:16:17:18:19:20:21:23:24    SD: 6.6673 cents
 13:14 x 15:16:17:18:20:21:22:23:24:26  S SD: 9.4262 cents
 14:15:16:17:18:19:20:21:22:23:25:26:28    SD: 7.9730 cents
 15:16:17:18:19:20:21:23:24:25:27:28:30    SD: 5.3909 cents
 16:17:18:19:20:21:22:24:25:27:28:30:32    SD: 5.1751 cents
 17:18:19:20:21:23:24:26:27:28:30:32:34    SD: 5.0372 cents
 22:23:25:26:28:29:31:33:35:37:39:41:44    SD: 4.1745 cents
 24:25:27:28:30:32:34:36:38:40:43:45:48    SD: 3.4783 cents
 31:33:35:37:39:41:44:46:49:52:55:58:62    SD: 3.2648 cents
 32:34:36:38:40:43:45:48:51:54:57:60:64    SD: 2.3115 cents
 36:38:40:43:45:48:51:54:57:60:64:68:72    SD: 2.2479 cents
 40:42:45:47:50:53:56:60:63:67:71:75:80    SD: 2.0702 cents
 48:51:54:57:60:64:67:72:76:80:85:90:96    SD: 1.8884 cents
 50:53:56:59:63:67:70:75:79:84:89:94:100    SD: 1.8509 cents
 52:55:58:62:65:69:73:78:82:87:92:98:104    SD: 1.6849 cents
 57:60:64:68:71:76:80:85:90:95:101:107:114    SD: 1.6603 cents
 58:61:65:69:73:77:82:87:92:97:103:109:116    SD: 1.5694 cents
 59:62:66:70:74:79:83:88:93:99:105:111:118    SD: 1.3757 cents
 72:76:81:85:90:96:101:108:114:121:128:135:144    SD: 1.1295 cents
 74:78:83:88:93:99:104:111:117:124:132:139:148    SD: 1.0319 cents
 76:80:85:90:95:101:107:114:120:127:135:143:152    SD: 0.8961 cents
 91:96:102:108:114:121:128:136:144:152:162:171:182    SD: 0.8411 cents
 96:101:108:114:120:128:135:144:152:161:171:180:192    SD: 0.8033 cents
 108:114:121:128:135:144:152:162:171:181:192:203:216    SD: 0.4118 cents
 184:194:206:218:230:245:259:276:291:308:327:345:368    SD: 0.3944 cents
 200:211:224:237:250:267:281:300:316:335:356:375:400    SD: 0.3637 cents
 216:228:242:256:270:288:304:324:342:362:384:405:432    SD: 0.3607 cents
 222:234:249:263:278:296:312:333:351:372:395:417:444    SD: 0.3580 cents
 224:236:251:266:280:299:315:336:354:375:398:420:448    SD: 0.3407 cents
 234:247:262:278:293:312:329:351:370:392:416:439:468    SD: 0.3300 cents
 242:255:271:287:303:323:340:363:383:405:430:454:484    SD: 0.2998 cents
 258:272:289:306:323:344:363:387:408:432:459:484:516    SD: 0.1899 cents
 366:386:410:434:458:488:515:549:579:613:651:687:732    SD: 0.1643 cents
 456:481:511:541:570:608:641:684:721:764:811:856:912    SD: 0.1628 cents
 483:509:541:573:604:644:679:724:764:809:859:906:966    SD: 0.1462 cents
 498:525:558:591:623:664:700:747:788:834:886:935:996    SD: 0.1453 cents
 510:538:571:605:638:680:717:765:807:854:907:957:1020    SD: 0.1363 cents
 554:584:621:657:693:739:779:831:876:928:985:1040:1108    SD: 0.1343 cents
 574:605:643:681:718:765:807:861:908:961:1021:1077:1148    SD: 0.1222 cents
 590:622:661:700:738:787:829:885:933:988:1049:1107:1180    SD: 0.1088 cents