Scala analysis: StanhopeMonochord

Stanhope's (1806) monochord string lenghts compiled by A.Sparschuh

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        120/113           104.053960
  2:        120/107           198.508331
  3:        120/101           298.414935
  4:          5/4             386.313714 major third
  5:          4/3             498.044999 perfect fourth
  6:         24/17            596.999591 1st septendecimal tritone
  7:          3/2             701.955001 perfect fifth
  8:          8/5             813.686286 minor sixth
  9:        120/71            908.572171
 10:        120/67           1008.961686
 11:         15/8            1088.268715 classic major seventh
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         16/15            111.7313 minor diatonic semitone
  1:        120/113           104.0540 
  2:        113/107            94.4544 
  3:        107/101            99.9066 
  4:        101/96             87.8988 
  5:         16/15            111.7313 minor diatonic semitone
  6:         18/17             98.9546 Arabic lute index finger
  7:         17/16            104.9554 17th harmonic
  8:         16/15            111.7313 minor diatonic semitone
  9:         75/71             94.8859 
 10:         71/67            100.3895 
 11:         67/64             79.3070 
 12:         16/15            111.7313 minor diatonic semitone
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 67/64               79.307 cents   
  1:   1 101/96              87.899 cents   
  1:   1 113/107             94.454 cents   
  1:   1 75/71               94.886 cents   
  1:   1 18/17               98.955 cents   Arabic lute index finger
  1:   1 107/101             99.907 cents   
  1:   1 71/67               100.390 cents  
  1:   1 120/113             104.054 cents  
  1:   1 17/16               104.955 cents  17th harmonic
  1:   3 16/15               111.731 cents  minor diatonic semitone
  2:   1 71/64               179.697 cents  
  2:   1 107/96              187.805 cents  
  2:   1 67/60               191.038 cents  
  2:   1 113/101             194.361 cents  
  2:   1 75/67               195.275 cents  
  2:   1 120/107             198.508 cents  
  2:   1 101/90              199.630 cents  
  2:   1 9/8                 203.910 cents  major whole tone
  2:   1 80/71               206.617 cents  
  2:   1 96/85               210.686 cents  
  2:   1 128/113             215.785 cents  
  2:   1 17/15               216.687 cents  septendecimal whole tone
  3:   1 75/64               274.582 cents  classic augmented second
  3:   1 113/96              282.260 cents  
  3:   1 71/60               291.428 cents  
  3:   1 134/113             295.092 cents  
  3:   1 120/101             298.415 cents  
  3:   1 101/85              298.585 cents  
  3:   1 107/90              299.537 cents  
  3:   1 80/67               307.007 cents  
  3:   1 128/107             310.240 cents  
  3:   1 85/71               311.573 cents  
  3:   2 6/5                 315.641 cents  minor third
  4:   3 5/4                 386.314 cents  major third
  4:   1 134/107             389.547 cents  
  4:   1 113/90              393.991 cents  
  4:   1 142/113             395.482 cents  
  4:   1 107/85              398.491 cents  
  4:   1 101/80              403.540 cents  
  4:   1 128/101             410.146 cents  
  4:   1 90/71               410.527 cents  
  4:   1 85/67               411.962 cents  
  4:   1 32/25               427.373 cents  classic diminished fourth
  5:   1 134/101             489.453 cents  
  5:   1 142/107             489.936 cents  
  5:   1 150/113             490.368 cents  
  5:   1 85/64               491.269 cents  
  5:   1 113/85              492.946 cents  
  5:   3 4/3                 498.045 cents  perfect fourth
  5:   1 107/80              503.447 cents  
  5:   1 90/67               510.917 cents  
  5:   1 101/75              515.271 cents  
  5:   1 96/71               522.258 cents  
  6:   1 67/48               577.352 cents  
  6:   1 150/107             584.822 cents  
  6:   1 142/101             589.843 cents  
  6:   1 45/32               590.224 cents  diatonic tritone
  6:   1 24/17               597.000 cents  1st septendecimal tritone
  6:   1 113/80              597.901 cents  
  6:   1 160/113             602.099 cents  
  6:   1 17/12               603.000 cents  2nd septendecimal tritone
  6:   1 64/45               609.776 cents  2nd tritone
  6:   1 101/71              610.157 cents  
  6:   1 107/75              615.178 cents  
  6:   1 96/67               622.648 cents  
  7:   1 71/48               677.742 cents  
  7:   1 150/101             684.729 cents  
  7:   1 67/45               689.083 cents  
  7:   1 160/107             696.553 cents  Milliet de Chales 1/4-comma fifth
  7:   3 3/2                 701.955 cents  perfect fifth
  7:   1 170/113             707.054 cents  
  7:   1 128/85              708.731 cents  
  7:   1 113/75              709.632 cents  
  7:   1 107/71              710.064 cents  
  7:   1 101/67              710.547 cents  
  8:   1 25/16               772.627 cents  classic augmented fifth
  8:   1 134/85              788.038 cents  
  8:   1 71/45               789.473 cents  
  8:   1 101/64              789.854 cents  
  8:   1 160/101             796.460 cents  
  8:   1 170/107             801.509 cents  
  8:   1 113/71              804.518 cents  
  8:   1 180/113             806.009 cents  
  8:   1 107/67              810.453 cents  
  8:   3 8/5                 813.686 cents  minor sixth
  9:   2 5/3                 884.359 cents  major sixth, BP sixth
  9:   1 142/85              888.427 cents  
  9:   1 107/64              889.760 cents  
  9:   1 67/40               892.993 cents  
  9:   1 180/107             900.463 cents  
  9:   1 170/101             901.415 cents  
  9:   1 101/60              901.585 cents  
  9:   1 113/67              904.908 cents  
  9:   1 120/71              908.572 cents  
  9:   1 192/113             917.740 cents  
  9:   1 128/75              925.418 cents  diminished seventh
 10:   1 30/17               983.313 cents  septendecimal minor seventh
 10:   1 113/64              984.215 cents  
 10:   1 85/48               989.314 cents  
 10:   1 71/40               993.383 cents  
 10:   1 16/9                996.090 cents  Pythagorean minor seventh
 10:   1 180/101             1000.370 cents 
 10:   1 107/60              1001.492 cents 
 10:   1 134/75              1004.725 cents 
 10:   1 202/113             1005.639 cents 
 10:   1 120/67              1008.962 cents 
 10:   1 192/107             1012.195 cents 
 10:   1 128/71              1020.303 cents 
 11:   3 15/8                1088.269 cents classic major seventh
 11:   1 32/17               1095.045 cents 17th subharmonic
 11:   1 113/60              1095.946 cents 
 11:   1 134/71              1099.610 cents 
 11:   1 202/107             1100.093 cents 
 11:   1 17/9                1101.045 cents septendecimal major seventh
 11:   1 142/75              1105.114 cents 
 11:   1 214/113             1105.546 cents 
 11:   1 192/101             1112.101 cents 
 11:   1 128/67              1120.693 cents 
Highest number of different intervals for one interval class: 12
Average number of different intervals per interval class: 10.72727 = 118/11
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12    
 0.0   : 104.1 198.5 298.4 386.3 498.0 597.0 702.0 813.7 908.6 1009.0 1088.3 1200.0
 104.1 : 94.5  194.4 282.3 394.0 492.9 597.9 709.6 804.5 904.9 984.2  1095.9 1200.0
 198.5 : 99.9  187.8 299.5 398.5 503.4 615.2 710.1 810.5 889.8 1001.5 1105.5 1200.0
 298.4 : 87.9  199.6 298.6 403.5 515.3 610.2 710.5 789.9 901.6 1005.6 1100.1 1200.0
 386.3 : 111.7 210.7 315.6 427.4 522.3 622.6 702.0 813.7 917.7 1012.2 1112.1 1200.0
 498.0 : 99.0  203.9 315.6 410.5 510.9 590.2 702.0 806.0 900.5 1000.4 1088.3 1200.0
 597.0 : 105.0 216.7 311.6 412.0 491.3 603.0 707.1 801.5 901.4 989.3  1101.0 1200.0
 702.0 : 111.7 206.6 307.0 386.3 498.0 602.1 696.6 796.5 884.4 996.1  1095.0 1200.0
 813.7 : 94.9  195.3 274.6 386.3 490.4 584.8 684.7 772.6 884.4 983.3  1088.3 1200.0
 908.6 : 100.4 179.7 291.4 395.5 489.9 589.8 677.7 789.5 888.4 993.4  1105.1 1200.0
 1009.0: 79.3  191.0 295.1 389.5 489.5 577.4 689.1 788.0 893.0 1004.7 1099.6 1200.0
 1088.3: 111.7 215.8 310.2 410.1 498.0 609.8 708.7 813.7 925.4 1020.3 1120.7 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  79.3070   .. 111.7313 cents      1024/1005, 32.4243 cents           67/64, 79.3070 cents
  2:  179.6965  .. 216.6867 cents      1088/1065, 36.9902 cents           1065/1024, 67.9653 cents
  3:  274.5824  .. 315.6413 cents      128/125, 41.0589 cents             1125/1088, 57.8957 cents
  4:  386.3137  .. 427.3726 cents      128/125, 41.0589 cents             25/24, 70.6724 cents
  5:  489.4532  .. 522.2585 cents      4848/4757, 32.8052 cents           1675/1616, 62.0807 cents
  6:  577.3520  .. 622.6480 cents      4608/4489, 45.2959 cents           4757/4608, 55.0936 cents
  7:  677.7415  .. 710.5468 cents      4848/4757, 32.8052 cents           4757/4608, 55.0936 cents
  8:  772.6274  .. 813.6863 cents      128/125, 41.0589 cents             1675/1616, 62.0807 cents
  9:  884.3587  .. 925.4176 cents      128/125, 41.0589 cents             25/24, 70.6724 cents
 10:  983.3133  .. 1020.3035 cents     1088/1065, 36.9902 cents           1125/1088, 57.8957 cents
 11:  1088.2687 .. 1120.6930 cents     1024/1005, 32.4243 cents           1065/1024, 67.9653 cents
SHOW DATA
Number of notes                     : 12
-- Interval properties --
Smallest interval                   : 67/64, 79.3070 cents, class 1
Average step (divided formal octave): 100.0000 cents
Largest one step interval           : 16/15, 111.7313 cents
Average / Smallest step             : 1.260922
Largest / Average step              : 1.117313
Largest / Smallest step             : 1.408845
Median interval of one step         : 100.14806 cents, amount: 0
Most common interval of one step    : 16/15, 111.7313 cents, amount: 3
Least squares average step          : 100.11491 cents, oct.:  1201.37890 cents
Scale is strictly proper
Step pattern alph. order: ABCDEFGEHIJE
Step pattern size order : HCFBJEIJDGAJ
Scale is a Constant Structure, by a margin of 55.09357 cents
Scale diversity                     : 1.314968
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.655024
Rothenberg efficiency               : 0.182828   redundancy: 0.817172
Efficiency x scale size             : 2.193939
Number of different interval sizes  : 118 = 10.72727 / class
Number of one step interval sizes   : 10
Highest interval variety            : 12
Mean interval variety               : 10.72727 = 118/11
Median interval variety             : 10
Lowest interval variety             : 10
Smallest interval difference        : 10201/10200, 0.1697 cents
Number of recognisable fifths       : 10, average 703.7530 cents
Best fifths form a closed circle
Scale contains a complete diamond   : 1 3
Length of longest subharmonic part  : 3 at degree 5
Formal octave complements present   : 5 = 41.6667%
Limited inverse transpositions with margin 41.0589 cents:
 2
-- Rational properties --
Prime limit                         : 113
Odd number limit                    : 113 (O: 113 U: 113)
Highest odd numerator or denominator: 113
Scale harmonicity                   : 0.018433
Fundamental                         : too low to compute
Guide tone                          : 120,  6.9069 octaves, 31395.068 Hz.
Exponens Consonantiae               : 1.422094E+15, 50.33694 octaves
Euler's gradus suavitatis           : 489
Sum of Mann's harmonic distance     : 580.0, average 48.33333
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 14.52284, average 1.21024
Sum of Tenney's harmonic distance   : 29.91132, average 2.49261
Vogel's harmonic complexity         : too high to compute
Wille's k value                     : too high to compute
Wilson's harmonic complexity        : 492
Rectangular lattice diameter        : 10
Triangular lattice diameter         : 3
Lattice compactness                 : 224.09398, average 2.87300
Lattice compactness (without 2's)   : 91.47411, average 1.17275
Number of different primes          : 9
Prime exponents' range, average, count, tones@limit:
  2:  -3 .. 3         1.50000   30    1
  3:  -1 .. 1         0.58333   9     2
  5:  -1 .. 1         0.50000   8     3
 17:  -1 .. 0        -0.08333   1     1
 67:  -1 .. 0        -0.08333   1     1
 71:  -1 .. 0        -0.08333   1     1
 101: -1 .. 0        -0.08333   1     1
 107: -1 .. 0        -0.08333   1     1
 113: -1 .. 0        -0.08333   1     1
Average exponent except 2's         : 7 / 12 = 0.58333
Average absolute exponent except 2's: 23 / 12 = 1.91667
Scale is JI-epimorphic with val: <12 19 28 49 73 74 80 81 82| = patent
FIT/MODE
 12:  1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 7.6587 c. M: 13.6863 c.  Twelve-tone Chromatic (1/11-comma)
 32:  3 2 3 2 3 3 3 3 2 3 2 3  SP   D3 I SD: 8.0053 c. M: 11.3137 c. 
 34:  3 3 3 2 3 3 3 3 3 3 2 3  SP   D3 S SD: 8.7796 c. M:-19.2321 c. 
 38:  3 3 3 3 4 3 3 4 3 3 2 4  SP   T3   SD: 8.4616 c. M: 14.5845 c. 
 41:  3 4 3 3 4 3 4 4 3 3 3 4  SP   D3   SD: 7.9729 c. M: 16.2491 c. 
 43:  4 3 4 3 4 3 4 4 4 3 3 4  SP   D3   SD: 6.5001 c. M:-12.3581 c. 
 44:  4 3 4 3 4 4 4 4 3 4 3 4  SP   D3 I SD: 5.1427 c. M: 8.5722 c. 
 53:  5 4 4 4 5 4 5 5 4 5 3 5  SP        SD: 5.0836 c. M:-9.9062 c. 
 55:  5 4 5 4 5 4 5 5 5 4 4 5  SP   D3   SD: 5.3918 c. M: 7.9087 c. 
 56:  5 4 5 4 5 5 5 5 4 5 4 5  SP   D3 I SD: 4.1371 c. M: 8.5722 c. 
 65:  6 5 5 5 6 5 6 6 5 6 4 6  SP        SD: 3.8292 c. M:-6.7153 c. 
 77:  7 6 6 6 7 6 7 7 6 7 5 7  SP        SD: 3.3916 c. M:-5.0369 c. 
 84:  7 7 7 6 8 7 7 8 7 7 5 8  SP        SD: 2.9728 c. M:-5.7135 c. 
 96:  8 8 8 7 9 8 8 9 8 8 6 9  SP        SD: 2.4009 c. M: 4.0540 c. 
 108: 9 9 9 8 10 9 9 10 9 9 7 10  SP        SD: 2.2828 c. M: 4.0540 c. 
 115: 10 9 10 8 11 9 10 11 9 10 7 11  SP        SD: 2.2154 c. M:-4.1938 c. 
 125: 11 10 10 9 12 10 11 12 10 10 8 12  SP        SD: 2.1200 c. M: 3.4687 c. 
 127: 11 10 11 9 12 10 11 12 10 11 8 12  SP        SD: 1.9403 c. M:-3.9473 c. 
 128: 11 10 11 9 12 11 11 12 10 11 8 12  SP        SD: 1.8041 c. M:-3.5383 c. 
 137: 12 11 11 10 13 11 12 13 11 11 9 13  SP        SD: 1.5743 c. M:-2.9515 c. 
 140: 12 11 12 10 13 12 12 13 11 12 9 13  SP        SD: 1.3945 c. M:-3.0004 c. 
 149: 13 12 12 11 14 12 13 14 12 12 10 14  SP        SD: 1.3372 c. M:-2.8340 c. 
 152: 13 12 13 11 14 13 13 14 12 13 10 14  SP        SD: 1.3124 c. M:-3.0004 c. 
 161: 14 13 13 12 15 13 14 15 13 13 11 15  SP        SD: 1.3858 c. M: 2.7505 c. 
 181: 16 14 15 13 17 15 16 17 14 15 12 17  SP        SD: 1.1012 c. M:-2.0234 c. 
 193: 17 15 16 14 18 16 17 18 15 16 13 18  SP        SD: 0.8503 c. M: 1.7078 c. 
 265: 23 21 22 19 25 22 23 25 21 22 17 25  SP        SD: 0.9482 c. M:-1.6165 c. 
 268: 23 21 23 19 25 22 24 25 21 22 18 25  SP        SD: 1.1437 c. M:-1.5851 c. 
 270: 23 22 22 20 25 22 24 25 21 23 18 25  SP        SD: 1.0200 c. M: 1.9055 c. 
 277: 24 22 23 20 26 23 24 26 22 23 18 26  SP        SD: 0.6525 c. M:-1.1751 c. 
 289: 25 23 24 21 27 24 25 27 23 24 19 27  SP        SD: 0.4780 c. M:-0.9243 c. 
 460: 40 36 38 34 43 38 40 43 36 39 30 43  SP        SD: 0.4710 c. M: 1.0236 c. 
 470: 41 37 39 34 44 39 41 44 37 39 31 44  SP        SD: 0.5072 c. M: 0.7818 c. 
 472: 41 37 39 35 44 39 41 44 37 40 31 44  SP        SD: 0.4481 c. M: 0.9573 c. 
 482: 42 38 40 35 45 40 42 45 38 40 32 45  SP        SD: 0.4093 c. M: 0.6629 c. 
 494: 43 39 41 36 46 41 43 46 39 41 33 46  SP        SD: 0.3940 c. M: 0.8645 c. 
 622: 54 49 52 45 58 51 55 58 49 52 41 58  SP        SD: 0.3896 c. M: 0.8581 c. 
 634: 55 50 53 46 59 52 56 59 50 53 42 59  SP        SD: 0.3299 c. M: 0.7851 c. 
 655: 57 51 55 48 61 54 57 61 52 55 43 61  SP        SD: 0.3181 c. M: 0.6457 c. 
 667: 58 52 56 49 62 55 58 62 53 56 44 62  SP        SD: 0.3442 c. M: 0.6073 c. 
 684: 59 54 57 50 64 56 60 64 54 57 45 64  SP        SD: 0.3360 c. M: 0.5494 c. 
 696: 60 55 58 51 65 57 61 65 55 58 46 65  SP        SD: 0.2891 c. M: 0.6057 c. 
 761: 66 60 63 56 71 63 66 71 60 64 50 71  SP        SD: 0.2739 c. M:-0.6351 c. 
 792: 69 62 66 58 74 65 69 74 63 66 52 74  SP        SD: 0.2997 c. M:-0.5187 c. 
 798: 69 63 66 59 74 66 70 74 63 67 53 74  SP        SD: 0.2977 c. M: 0.6706 c. 
 804: 70 63 67 59 75 66 70 75 64 67 53 75  SP        SD: 0.2791 c. M:-0.4625 c. 
 829: 72 65 69 61 77 68 73 77 66 69 55 77  SP        SD: 0.2709 c. M: 0.6184 c. 
 836: 72 66 70 61 78 69 73 78 66 70 55 78  SP        SD: 0.2678 c. M: 0.7047 c. 
 848: 74 66 71 62 79 70 74 79 67 71 56 79  SP        SD: 0.2369 c. M:-0.6630 c. 
 889: 77 70 74 65 83 73 78 83 70 74 59 83  SP        SD: 0.2630 c. M: 0.6377 c. 
 901: 78 71 75 66 84 74 79 84 71 75 60 84  SP        SD: 0.2600 c. M: 0.7486 c. 
 913: 79 72 76 67 85 75 80 85 72 77 60 85  SP        SD: 0.2065 c. M:-0.4578 c. 
 938: 81 74 78 69 87 78 82 87 74 79 62 87  SP        SD: 0.3256 c. M:-0.4418 c. 
 942: 82 74 78 69 88 78 82 88 74 79 62 88  SP        SD: 0.2834 c. M:-0.4526 c. 
 944: 82 74 79 69 88 78 82 88 75 79 62 88  SP        SD: 0.2590 c. M:-0.4580 c. 
 954: 83 75 79 70 89 79 83 89 75 80 63 89  SP        SD: 0.2559 c. M:-0.4847 c. 
 969: 84 76 81 71 90 80 85 90 77 81 64 90  SP        SD: 0.2220 c. M:-0.4062 c. 
 1029: 89 81 86 75 96 85 90 96 81 86 68 96  SP        SD: 0.1986 c. M: 0.3079 c. 
 1041: 90 82 87 76 97 86 91 97 82 87 69 97  SP        SD: 0.1802 c. M: 0.3162 c. 
 1094: 95 86 91 80 102 90 96 102 86 92 72 102  SP        SD: 0.1776 c. M: 0.3455 c. 
 1106: 96 87 92 81 103 91 97 103 87 93 73 103  SP        SD: 0.1539 c. M: 0.4347 c. 
 1150: 100 90 96 84 107 95 101 107 91 96 76 107  SP        SD: 0.2153 c. M:-0.3059 c. 
 1162: 101 91 97 85 108 96 102 108 92 97 77 108  SP        SD: 0.1782 c. M:-0.2825 c. 
 1174: 102 92 98 86 109 97 103 109 93 98 78 109  SP        SD: 0.1733 c. M:-0.3173 c. 
 1190: 103 94 99 87 111 98 104 111 94 100 78 111  SP        SD: 0.1700 c. M:-0.4501 c. 
 1202: 104 95 100 88 112 99 105 112 95 101 79 112  SP        SD: 0.1474 c. M:-0.3561 c. 
 1214: 105 96 101 89 113 100 106 113 96 102 80 113  SP        SD: 0.1621 c. M: 0.2648 c. 
 1383: 120 109 115 101 129 114 121 129 109 116 91 129  SP        SD: 0.1285 c. M: 0.1993 c. 
 1395: 121 110 116 102 130 115 122 130 110 117 92 130  SP        SD: 0.0954 c. M:-0.2013 c. 
 1845: 160 145 154 135 172 152 161 172 146 154 122 172  SP        SD: 0.1116 c. M: 0.1812 c. 
 1879: 163 148 156 138 175 155 164 175 149 157 124 175  SP        SD: 0.1063 c. M:-0.2091 c. 
 1891: 164 149 157 139 176 156 165 176 150 158 125 176  SP        SD: 0.1128 c. M: 0.1600 c. 
 1923: 167 151 160 141 179 159 168 179 152 161 127 179  SP        SD: 0.0943 c. M:-0.1923 c. 
 1935: 168 152 161 142 180 160 169 180 153 162 128 180  SP        SD: 0.0931 c. M:-0.2097 c. 
 2062: 179 162 172 151 192 170 180 192 163 173 136 192  SP        SD: 0.1052 c. M:-0.1557 c. 
 2072: 180 163 172 152 193 171 181 193 164 173 137 193  SP        SD: 0.0979 c. M:-0.1931 c. 
 2159: 187 170 180 158 201 178 189 201 171 180 143 201  SP        SD: 0.0866 c. M:-0.1819 c. 
 2224: 193 175 185 163 207 183 195 207 176 186 147 207  SP        SD: 0.0790 c. M: 0.2370 c. 
 2364: 205 186 197 173 220 195 207 220 187 198 156 220  SP        SD: 0.0685 c. M:-0.1754 c. 
 2376: 206 187 198 174 221 196 208 221 188 199 157 221  SP        SD: 0.0646 c. M:-0.1292 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: 0.0000 cents
 3 x x x x 4 x x x 5 x x 6  S SD: 8.0712 cents
 4 x x x 5 x x 6 x x 7 x 8  S SD: 10.0339 cents
 5 x x 6 x x 7 x 8 x 9 x 10  S SD: 4.8216 cents
 6 x x 7 x 8 x 9 x 10 x 11:12  S SD: 9.2721 cents
 7 x 8 x 9 x 10 x 11:12 x 13:14  S SD: 10.8006 cents
 8 x 9 x 10 x 11:12:13 x 14:15:16  S SD: 8.3360 cents
 9 x 10 x 11:12:13 x 14:15:16:17:18  S SD: 9.0516 cents
 10 x 11:12 x 13:14:15:16:17:18:19:20  S SD: 6.5208 cents
 11:12 x 13:14:15:16:17:18:19:20:21:22  S SD: 11.0085 cents
 12:13 x 14:15:16:17:18:19:20:21:23:24    SD: 7.1560 cents
 13:14:15 x 16:17:18:20:21:22:23:24:26  S SD: 8.7968 cents
 14:15:16:17:18:19:20:21:22:24:25:26:28  S SD: 7.6106 cents
 15:16:17:18:19:20:21:23:24:25:27:28:30    SD: 4.9931 cents
 16:17:18:19:20:21:23:24:26:27:29:30:32    SD: 4.4915 cents
 24:25:27:29:30:32:34:36:38:41:43:45:48    SD: 4.3342 cents
 25:27:28:30:31:33:35:38:40:42:45:47:50    SD: 4.2409 cents
 26:28:29:31:33:35:37:39:42:44:47:49:52    SD: 4.1606 cents
 27:29:30:32:34:36:38:41:43:46:48:51:54    SD: 3.6249 cents
 30:32:34:36:38:40:42:45:48:51:54:56:60  S SD: 3.3925 cents
 31:33:35:37:39:41:44:47:50:52:56:58:62    SD: 3.2935 cents
 32:34:36:38:40:43:45:48:51:54:57:60:64    SD: 1.6700 cents
 48:51:54:57:60:64:68:72:77:81:86:90:96    SD: 0.8113 cents
 80:85:90:95:100:107:113:120:128:135:143:150:160    SD: 0.7448 cents
 100:106:112:119:125:133:141:150:160:169:179:188:200    SD: 0.6907 cents
 116:123:130:138:145:155:164:174:186:196:208:218:232    SD: 0.6839 cents
 128:136:144:152:160:171:181:192:205:216:229:240:256    SD: 0.6667 cents
 132:140:148:157:165:176:186:198:211:223:236:248:264    SD: 0.5531 cents
 148:157:166:176:185:197:209:222:237:250:265:278:296    SD: 0.4389 cents
 180:191:202:214:225:240:254:270:288:304:322:338:360    SD: 0.3494 cents
 192:204:215:228:240:256:271:288:307:325:344:360:384    SD: 0.3459 cents
 224:238:251:266:280:299:316:336:358:379:401:420:448    SD: 0.3450 cents
 228:242:256:271:285:304:322:342:365:385:408:428:456    SD: 0.3289 cents
 240:255:269:285:300:320:339:360:384:406:430:450:480    SD: 0.2089 cents
 320:340:359:380:400:427:452:480:512:541:573:600:640    SD: 0.1867 cents
 372:395:417:442:465:496:525:558:595:629:666:698:744    SD: 0.1657 cents
 420:446:471:499:525:560:593:630:672:710:752:788:840    SD: 0.1078 cents
 552:586:619:656:690:736:779:828:883:933:989:1035:1104    SD: 0.1016 cents
 600:637:673:713:750:800:847:900:960:1014:1075:1125:1200    SD: 0.0733 cents