Scala analysis: Sp41limW3

Sparschuh's 41-limit Werckmeister #3 interpretation for J.S.Bach

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        256/243            90.224996 limma, Pythagorean minor second
  2:        272/243           195.180405 Persian whole tone
  3:         32/27            294.134997 Pythagorean minor third
  4:        304/243           387.738012
  5:          4/3             498.044999 perfect fourth
  6:       1024/729           588.269995 Pythagorean diminished fifth
  7:       3280/2187          701.691113
  8:        128/81            792.179997 Pythagorean minor sixth
  9:       1216/729           885.783011
 10:         16/9             996.089998 Pythagorean minor seventh
 11:        152/81           1089.693013
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         81/76            110.3070 
  1:        256/243            90.2250 limma, Pythagorean minor second
  2:         17/16            104.9554 17th harmonic
  3:         18/17             98.9546 Arabic lute index finger
  4:         19/18             93.6030 undevicesimal semitone
  5:         81/76            110.3070 
  6:        256/243            90.2250 limma, Pythagorean minor second
  7:        205/192           113.4211 
  8:        216/205            90.4889 
  9:         19/18             93.6030 undevicesimal semitone
 10:         81/76            110.3070 
 11:         19/18             93.6030 undevicesimal semitone
 12:         81/76            110.3070 
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   2 256/243             90.225 cents   limma, Pythagorean minor second
  1:   1 216/205             90.489 cents   
  1:   3 19/18               93.603 cents   undevicesimal semitone
  1:   1 18/17               98.955 cents   Arabic lute index finger
  1:   1 17/16               104.955 cents  17th harmonic
  1:   3 81/76               110.307 cents  
  1:   1 205/192             113.421 cents  
  2:   1 228/205             184.092 cents  
  2:   1 19/17               192.558 cents  quasi-meantone
  2:   1 272/243             195.180 cents  Persian whole tone
  2:   2 64/57               200.532 cents  
  2:   1 820/729             203.646 cents  
  2:   6 9/8                 203.910 cents  major whole tone
  3:   4 32/27               294.135 cents  Pythagorean minor third
  3:   1 243/205             294.399 cents  
  3:   3 19/16               297.513 cents  19th harmonic
  3:   1 81/68               302.865 cents  Persian wosta
  3:   1 68/57               305.487 cents  
  3:   1 205/171             313.953 cents  
  3:   1 729/608             314.217 cents  
  4:   2 304/243             387.738 cents  
  4:   1 513/410             388.002 cents  
  4:   1 64/51               393.090 cents  
  4:   1 34/27               399.090 cents  septendecimal major third
  4:   3 24/19               404.442 cents  smaller undevicesimal major third
  4:   1 205/162             407.556 cents  
  4:   3 81/64               407.820 cents  Pythagorean major third
  5:   8 4/3                 498.045 cents  perfect fourth
  5:   1 2187/1640           498.309 cents  
  5:   1 171/128             501.423 cents  
  5:   1 205/153             506.511 cents  
  5:   1 51/38               509.397 cents  
  6:   1 1024/729            588.270 cents  Pythagorean diminished fifth
  6:   1 288/205             588.534 cents  
  6:   3 38/27               591.648 cents  
  6:   1 24/17               597.000 cents  1st septendecimal tritone
  6:   1 17/12               603.000 cents  2nd septendecimal tritone
  6:   3 27/19               608.352 cents  
  6:   1 205/144             611.466 cents  
  6:   1 729/512             611.730 cents  Pythagorean tritone
  7:   1 76/51               690.603 cents  
  7:   1 306/205             693.489 cents  
  7:   1 256/171             698.577 cents  
  7:   1 3280/2187           701.691 cents  
  7:   8 3/2                 701.955 cents  perfect fifth
  8:   3 128/81              792.180 cents  Pythagorean minor sixth
  8:   1 324/205             792.444 cents  
  8:   3 19/12               795.558 cents  undevicesimal minor sixth
  8:   1 27/17               800.910 cents  septendecimal minor sixth
  8:   1 51/32               806.910 cents  
  8:   1 820/513             811.998 cents  
  8:   2 243/152             812.262 cents  
  9:   1 1216/729            885.783 cents  
  9:   1 342/205             886.047 cents  
  9:   1 57/34               894.513 cents  
  9:   1 136/81              897.135 cents  
  9:   3 32/19               902.487 cents  19th subharmonic
  9:   1 410/243             905.601 cents  
  9:   4 27/16               905.865 cents  Pythagorean major sixth
 10:   6 16/9                996.090 cents  Pythagorean minor seventh
 10:   1 729/410             996.354 cents  
 10:   2 57/32               999.468 cents  undevicesimal minor seventh
 10:   1 243/136             1004.820 cents 
 10:   1 34/19               1007.442 cents quasi-mean seventh
 10:   1 205/114             1015.908 cents 
 11:   1 384/205             1086.579 cents 
 11:   3 152/81              1089.693 cents 
 11:   1 32/17               1095.045 cents 17th subharmonic
 11:   1 17/9                1101.045 cents septendecimal major seventh
 11:   3 36/19               1106.397 cents smaller undevicesimal major seventh
 11:   1 205/108             1109.511 cents 
 11:   2 243/128             1109.775 cents Pythagorean major seventh
Highest number of different intervals for one interval class: 8
Average number of different intervals per interval class: 6.54545 = 72/11
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12    
 0.0   : 90.2  195.2 294.1 387.7 498.0 588.3 701.7 792.2 885.8 996.1  1089.7 1200.0
 90.2  : 105.0 203.9 297.5 407.8 498.0 611.5 702.0 795.6 905.9 999.5  1109.8 1200.0
 195.2 : 99.0  192.6 302.9 393.1 506.5 597.0 690.6 800.9 894.5 1004.8 1095.0 1200.0
 294.1 : 93.6  203.9 294.1 407.6 498.0 591.6 702.0 795.6 905.9 996.1  1101.0 1200.0
 387.7 : 110.3 200.5 314.0 404.4 498.0 608.4 702.0 812.3 902.5 1007.4 1106.4 1200.0
 498.0 : 90.2  203.6 294.1 387.7 498.0 591.6 702.0 792.2 897.1 996.1  1089.7 1200.0
 588.3 : 113.4 203.9 297.5 407.8 501.4 611.7 702.0 806.9 905.9 999.5  1109.8 1200.0
 701.7 : 90.5  184.1 294.4 388.0 498.3 588.5 693.5 792.4 886.0 996.4  1086.6 1200.0
 792.2 : 93.6  203.9 297.5 407.8 498.0 603.0 702.0 795.6 905.9 996.1  1109.5 1200.0
 885.8 : 110.3 203.9 314.2 404.4 509.4 608.4 702.0 812.3 902.5 1015.9 1106.4 1200.0
 996.1 : 93.6  203.9 294.1 399.1 498.0 591.6 702.0 792.2 905.6 996.1  1089.7 1200.0
 1089.7: 110.3 200.5 305.5 404.4 498.0 608.4 698.6 812.0 902.5 996.1  1106.4 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  90.2250   .. 113.4211 cents      16605/16384, 23.1961 cents         256/243, 90.2250 cents
  2:  184.0919  .. 203.9100 cents      615/608, 19.8181 cents             43776/42025, 70.6708 cents
  3:  294.1350  .. 314.2170 cents      19683/19456, 20.0820 cents         256/243, 90.2250 cents
  4:  387.7380  .. 407.8200 cents      19683/19456, 20.0820 cents         184832/177147, 73.5210 cents
  5:  498.0450  .. 509.3974 cents      153/152, 11.3524 cents             256/243, 90.2250 cents
  6:  588.2700  .. 611.7300 cents      531441/524288, 23.4600 cents       38912/37179, 78.8726 cents
  7:  690.6026  .. 701.9550 cents      153/152, 11.3524 cents             38912/37179, 78.8726 cents
  8:  792.1800  .. 812.2620 cents      19683/19456, 20.0820 cents         256/243, 90.2250 cents
  9:  885.7830  .. 905.8650 cents      19683/19456, 20.0820 cents         184832/177147, 73.5210 cents
 10:  996.0900  .. 1015.9081 cents     615/608, 19.8181 cents             256/243, 90.2250 cents
 11:  1086.5789 .. 1109.7750 cents     16605/16384, 23.1961 cents         43776/42025, 70.6708 cents
SHOW DATA
Number of notes                     : 12
-- Interval properties --
Smallest interval                   : 256/243, 90.2250 cents, class 1
Average step (divided formal octave): 100.0000 cents
Largest one step interval           : 205/192, 113.4211 cents
Average / Smallest step             : 1.108340
Largest / Average step              : 1.134211
Largest / Smallest step             : 1.257092
Median interval of one step         : 96.27880 cents, amount: 0
Least squares average step          : 99.23482 cents, oct.:  1190.81789 cents
Scale is strictly proper
Step pattern alph. order: ABCDEAFGDEDE
Step pattern size order : AEDCFAGBCFCF
Scale is a Constant Structure, by a margin of 70.67078 cents
Scale diversity                     : 1.147487
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.822899
Rothenberg efficiency               : 0.294102   redundancy: 0.705898
Efficiency x scale size             : 3.529221
Number of different interval sizes  : 72 = 6.54545 / class
Number of one step interval sizes   : 7
Highest interval variety            : 8
Mean interval variety               : 6.54545 = 72/11
Median interval variety             : 5
Lowest interval variety             : 5
Smallest interval difference        : 6561/6560, 0.2639 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 8
Most common triad is 0.0 498.045 701.955 cents, amount: 6
Number of recognisable fifths       : 12, average 700.0000 cents
Scale is a well-temperament. It has 5 different sizes of fifth
Scale has monotonic third-sizes over circle of fifths
Best fifths form a closed circle
Length of longest harmonic part     : 3 at degree 1
Formal octave complements present   : 1 = 8.3333%
Limited transpositions with margin 23.4600 cents:
 2 5 7
Limited inverse transpositions with margin 23.1961 cents:
 2 4 9 11
-- Rational properties --
Prime limit                         : 41
Odd number limit                    : 2187 (O: 2187 U: 2187)
Highest odd numerator or denominator: 2187
Scale harmonicity                   : 0.010072
Fundamental                         : 1/2187, -11.0947 octaves, 0.1196 Hz.
Guide tone                          : 67804160,  26.0149 octaves, 17739301689.759 Hz.
Exponens Consonantiae               : 1.482877E+11, 37.10961 octaves
Euler's gradus suavitatis           : 103
Sum of Mann's harmonic distance     : 5631.0, average 469.25000
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 22.90182, average 1.90849
Sum of Tenney's harmonic distance   : 47.74002, average 3.97834
Vogel's harmonic complexity         : 23.83333
Wille's k value                     : 1093
Wilson's harmonic complexity        : 103
Rectangular lattice diameter        : 11
Triangular lattice diameter         : 7
Lattice compactness                 : 361.58014, average 4.63564
Lattice compactness (without 2's)   : 228.09065, average 2.92424
Number of different primes          : 6
Prime exponents' range, average, count, tones@limit:
  2:   1 .. 10        4.83333   58    1
  3:  -7 .. 0        -4.00000   48    6
  5:   0 .. 1         0.08333   1
 17:   0 .. 1         0.08333   1     1
 19:   0 .. 1         0.25000   3     3
 41:   0 .. 1         0.08333   1     1
Average exponent except 2's         :-42 / 12 =-3.50000
Average absolute exponent except 2's: 54 / 12 = 4.50000
Scale is JI-epimorphic with val: <12 19 27 49 51 65|
Scale is JI-epimorphic with val: <12 19 28 49 51 64| = patent
Scale is JI-epimorphic with val: <12 19 29 49 51 63|
FIT/MODE
 12:  1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 8.3297 c. M:-14.2170 c.  Twelve-tone Chromatic (1/11-comma)
 37:  3 3 3 3 3 3 4 2 3 4 3 3  SP   D3   SD: 8.6586 c. M: 13.8016 c. 
 41:  3 4 3 3 4 3 4 3 3 4 3 4  SP M ME   SD: 4.7792 c. M:-9.6976 c.  Schismic-12
 53:  4 5 4 4 5 4 5 4 4 5 4 5  SP M ME   SD: 2.8633 c. M:-8.5932 c.  Schismic-12
 61:  5 5 5 5 5 5 6 4 5 6 4 6  SP   D3   SD: 5.2166 c. M:-8.1357 c. 
 62:  5 5 5 5 6 4 6 5 5 5 5 6  SP   D3   SD: 5.0573 c. M: 8.9932 c. 
 65:  5 6 5 5 6 5 6 5 5 6 5 6  SP M ME   SD: 2.5580 c. M:-7.8965 c. 
 66:  5 6 5 5 6 5 7 5 5 6 5 6  SP   D3   SD: 5.1692 c. M:-7.8200 c. 
 67:  5 6 5 6 6 5 6 5 5 7 5 6  SP   D3   SD: 4.7414 c. M: 8.1711 c. 
 68:  5 6 6 5 6 5 7 5 5 6 6 6  SP   D3   SD: 4.1285 c. M: 7.8547 c. 
 69:  5 6 6 5 7 5 6 6 5 6 6 6  SP   D3   SD: 4.6607 c. M:-7.8200 c. 
 70:  5 6 6 6 6 5 7 5 6 6 6 6  SP   D3   SD: 4.5584 c. M:-7.4498 c. 
 74:  6 6 6 6 7 5 7 6 6 6 6 7  SP   D3   SD: 4.2786 c. M:-7.0723 c. 
 77:  6 7 6 6 7 6 7 6 6 7 6 7  SP M ME   SD: 2.9685 c. M:-7.4170 c. 
 80:  6 7 7 6 7 6 8 6 6 7 7 7  SP   D3   SD: 3.4681 c. M: 6.0900 c. 
 92:  7 8 8 7 8 7 9 7 7 8 8 8  SP   D3   SD: 3.3524 c. M:-5.9592 c. 
 94:  7 8 8 7 9 7 9 7 7 9 7 9  SP   D3 S SD: 2.6542 c. M: 4.9319 c. 
 98:  7 9 8 8 9 7 9 8 7 9 8 9  SP        SD: 3.1254 c. M: 4.5107 c. 
 99:  7 9 8 8 9 7 10 7 8 9 8 9  SP        SD: 3.0404 c. M: 6.4518 c. 
 106: 8 9 9 8 10 8 10 8 8 10 8 10  SP   D3 S SD: 1.6324 c. M: 2.9006 c. 
 118: 9 10 10 9 11 9 11 9 9 11 9 11  SP   D3 S SD: 1.1248 c. M: 1.9601 c. 
 130: 10 11 11 10 12 10 12 10 10 12 10 12  SP   D3 S SD: 1.2229 c. M:-2.4992 c. 
 171: 13 15 14 13 16 13 16 13 13 16 13 16  SP        SD: 1.1142 c. M: 1.9737 c. 
 183: 14 16 15 14 17 14 17 14 14 17 14 17  SP        SD: 1.0734 c. M:-1.8939 c. 
 195: 15 17 16 15 18 15 18 15 15 18 15 18  SP        SD: 1.2650 c. M:-2.4992 c. 
 217: 16 19 18 17 20 16 21 16 17 20 17 20  SP        SD: 1.1405 c. M: 2.0949 c. 
 229: 17 20 19 18 21 17 22 17 18 21 18 21  SP        SD: 0.7512 c. M: 1.3704 c. 
 241: 18 21 20 19 22 18 23 18 19 22 19 22  SP        SD: 0.5554 c. M: 0.9895 c. 
 282: 21 25 23 22 26 21 27 21 22 26 22 26  SP        SD: 0.5805 c. M: 1.0360 c. 
 294: 22 26 24 23 27 22 28 22 23 27 23 27  SP        SD: 0.3357 c. M:-0.7380 c. 
 306: 23 27 25 24 28 23 29 23 24 28 24 28  SP        SD: 0.3679 c. M:-0.8980 c. 
 412: 31 36 34 32 38 31 39 31 32 38 32 38  SP        SD: 0.1974 c. M: 0.3726 c. 
 424: 32 37 35 33 39 32 40 32 33 39 33 39  SP        SD: 0.2003 c. M:-0.4093 c. 
 653: 49 57 54 51 60 49 62 49 51 60 51 60  SP        SD: 0.1730 c. M: 0.3871 c. 
 665: 50 58 55 52 61 50 63 50 52 61 52 61  SP        SD: 0.1625 c. M: 0.2932 c. 
 706: 53 62 58 55 65 53 67 53 55 65 55 65  SP        SD: 0.1741 c. M:-0.2919 c. 
 718: 54 63 59 56 66 54 68 54 56 66 56 66  SP        SD: 0.1295 c. M:-0.3628 c. 
 836: 63 73 69 65 77 63 79 63 65 77 65 77  SP        SD: 0.1590 c. M:-0.2468 c. 
 959: 72 84 79 75 88 72 91 72 75 88 75 88  SP        SD: 0.1389 c. M:-0.2901 c. 
 1065: 80 93 88 83 98 80 101 80 83 98 83 98  SP        SD: 0.1356 c. M:-0.2807 c. 
 1077: 81 94 89 84 99 81 102 81 84 99 84 99  SP        SD: 0.0945 c. M:-0.2587 c. 
 1089: 82 95 90 85 100 82 103 82 85 100 85 100  SP        SD: 0.1294 c. M:-0.2373 c. 
 1130: 85 99 93 88 104 85 107 85 88 104 88 104  SP        SD: 0.1182 c. M:-0.2558 c. 
 1142: 86 100 94 89 105 86 108 86 89 105 89 105  SP        SD: 0.1298 c. M:-0.2662 c. 
 1371: 103 120 113 107 126 103 130 103 107 126 107 126  SP        SD: 0.0898 c. M:-0.2783 c. 
 1383: 104 121 114 108 127 104 131 104 108 127 108 127  SP        SD: 0.0959 c. M:-0.2612 c. 
 1513: 114 132 125 118 139 114 143 114 118 139 118 139  SP        SD: 0.1362 c. M:-0.2297 c. 
 1542: 116 135 127 120 142 116 146 116 120 142 120 142  SP        SD: 0.1301 c. M:-0.2544 c. 
 1554: 117 136 128 121 143 117 147 117 121 143 121 143  SP        SD: 0.1204 c. M:-0.2394 c. 
 1665: 125 146 137 130 153 125 158 125 130 153 130 153  SP        SD: 0.1193 c. M:-0.2909 c. 
 1677: 126 147 138 131 154 126 159 126 131 154 131 154  SP        SD: 0.1113 c. M:-0.2767 c. 
 1742: 131 152 144 136 160 131 165 131 136 160 136 160  SP        SD: 0.1111 c. M:-0.2607 c. 
 1783: 134 156 147 139 164 134 169 134 139 164 139 164  SP        SD: 0.0902 c. M:-0.2719 c. 
 1795: 135 157 148 140 165 135 170 135 140 165 140 165  SP        SD: 0.0765 c. M:-0.2587 c. 
 1893: 142 166 156 148 174 142 179 143 147 174 148 174  SP        SD: 0.1512 c. M:-0.2176 c. 
 1901: 143 166 157 148 175 143 180 143 148 175 148 175  SP        SD: 0.1146 c. M:-0.2552 c. 
 1913: 144 167 158 149 176 144 181 144 149 176 149 176  SP        SD: 0.1021 c. M:-0.2430 c. 
 1991: 150 174 164 155 183 150 188 150 156 183 155 183  SP        SD: 0.1491 c. M: 0.2162 c. 
 1999: 150 175 165 156 184 150 189 151 156 183 156 184  SP        SD: 0.1476 c. M:-0.2600 c. 
 2009: 151 176 165 157 185 151 190 151 157 185 156 185  SP        SD: 0.1436 c. M: 0.2574 c. 
 2012: 151 176 166 157 185 151 190 152 157 185 157 185  SP        SD: 0.1373 c. M: 0.2995 c. 
 2024: 152 177 167 158 186 152 191 153 158 186 158 186  SP        SD: 0.1124 c. M: 0.3077 c. 
 2036: 153 178 168 159 187 153 193 153 159 187 159 187  SP        SD: 0.0965 c. M:-0.2735 c. 
 2089: 157 183 172 163 192 157 198 157 163 192 163 192  SP        SD: 0.0894 c. M:-0.2715 c. 
 2150: 162 188 177 168 197 162 203 162 168 198 167 198  SP        SD: 0.1446 c. M: 0.2046 c. 
 2153: 162 188 178 168 198 161 204 162 168 198 168 198  SP        SD: 0.1444 c. M: 0.2533 c. 
 2157: 162 189 178 168 198 162 204 163 168 198 169 198  SP        SD: 0.1435 c. M: 0.2625 c. 
 2158: 162 189 178 168 199 162 204 163 168 198 169 198  SP        SD: 0.1325 c. M:-0.2204 c. 
 2166: 163 189 179 169 199 163 205 163 169 199 169 199  SP        SD: 0.1037 c. M:-0.2479 c. 
 2207: 166 193 182 172 203 166 209 166 172 203 172 203  SP        SD: 0.0828 c. M:-0.2572 c. 
 2252: 169 197 186 176 207 169 213 170 175 207 176 207  SP        SD: 0.1351 c. M:-0.1838 c. 
 2256: 170 197 186 176 207 170 213 170 176 208 176 207  SP        SD: 0.1301 c. M:-0.2006 c. 
 2262: 170 198 186 177 208 170 214 170 177 208 176 208  SP        SD: 0.1250 c. M: 0.2358 c. 
 2272: 171 199 187 177 209 171 215 171 177 209 177 209  SP        SD: 0.1161 c. M:-0.2455 c. 
 2318: 174 203 191 181 213 174 219 175 181 213 181 213  SP        SD: 0.1047 c. M: 0.2243 c. 
 2330: 175 204 192 182 214 175 220 176 182 214 182 214  SP        SD: 0.0933 c. M: 0.2319 c. 
 2350: 177 205 194 183 216 177 222 177 184 216 183 216  SP        SD: 0.1262 c. M: 0.1800 c. 
 2354: 177 206 194 184 216 177 223 177 184 216 184 216  SP        SD: 0.1258 c. M:-0.2630 c. 
 2368: 178 207 195 185 218 178 224 178 185 218 184 218  SP        SD: 0.1229 c. M: 0.2161 c. 
 2380: 179 208 196 186 219 179 225 179 186 219 185 219  SP        SD: 0.1177 c. M:-0.2125 c. 
 2395: 180 210 197 187 220 180 226 181 187 220 187 220  SP        SD: 0.1016 c. M: 0.2297 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: 0.1319 cents
 3 x x x x 4 x x x 5 x x 6  S SD: 0.4748 cents
 4 x x x 5 x x 6 x x 7 x 8  S SD: 6.8256 cents
 5 x x 6 x x 7 x 8 x 9 x 10  S SD: 7.5385 cents
 6 x x 7 x 8 x 9 x 10 x 11:12  S SD: 8.1171 cents
 7 x 8 x 9 x 10 x 11:12 x 13:14  S SD: 11.9950 cents
 8 x 9 x 10 x 11:12 x 13:14:15:16  S SD: 8.1367 cents
 9 x 10 x 11:12:13 x 14:15:16:17:18  S SD: 7.8579 cents
 10 x 11:12 x 13:14:15:16:17:18:19:20  S SD: 7.6123 cents
 11 x 12:13:14:15 x x 17:18:20:21:22    SD: 10.7700 cents
 12:13 x 14:15:16:17:18:19:20:21:23:24    SD: 6.6793 cents
 13:14 x 15:16:17:18:20:21:22:23:24:26  S SD: 9.5512 cents
 14:15:16:17:18:19:20:21:22:23:25:26:28    SD: 7.9572 cents
 15:16:17:18:19:20:21:23:24:25:27:28:30    SD: 5.5036 cents
 16:17:18:19:20:21:22:24:25:27:28:30:32    SD: 5.2351 cents
 17:18:19:20:21:23:24:26:27:28:30:32:34    SD: 4.8144 cents
 22:23:25:26:28:29:31:33:35:37:39:41:44    SD: 4.3269 cents
 24:25:27:28:30:32:34:36:38:40:43:45:48    SD: 3.3519 cents
 32:34:36:38:40:43:45:48:51:53:57:60:64    SD: 2.4625 cents
 36:38:40:43:45:48:51:54:57:60:64:68:72    SD: 2.2323 cents
 40:42:45:47:50:53:56:60:63:67:71:75:80    SD: 2.0073 cents
 42:44:47:50:53:56:59:63:66:70:75:79:84    SD: 1.9544 cents
 48:51:54:57:60:64:67:72:76:80:85:90:96    SD: 1.8395 cents
 52:55:58:62:65:69:73:78:82:87:92:98:104    SD: 1.7293 cents
 54:57:60:64:68:72:76:81:85:90:96:101:108    SD: 1.6572 cents
 57:60:64:68:71:76:80:85:90:95:101:107:114    SD: 1.5651 cents
 59:62:66:70:74:79:83:88:93:98:105:111:118    SD: 1.4193 cents
 60:63:67:71:75:80:84:90:95:100:107:113:120    SD: 1.1012 cents
 72:76:81:85:90:96:101:108:114:120:128:135:144    SD: 1.0425 cents
 76:80:85:90:95:101:107:114:120:127:135:143:152    SD: 0.7988 cents
 108:114:121:128:135:144:152:162:171:180:192:203:216    SD: 0.5832 cents
 136:143:152:161:170:181:191:204:215:227:242:255:272    SD: 0.5310 cents
 150:158:168:178:188:200:211:225:237:250:267:281:300    SD: 0.5114 cents
 168:177:188:199:210:224:236:252:265:280:299:315:336    SD: 0.3813 cents
 210:221:235:249:263:280:295:315:332:350:373:394:420    SD: 0.2991 cents
 243:256:272:288:304:324:341:364:384:405:432:456:486    SD: 0.2549 cents
 302:318:338:358:378:403:424:453:477:504:537:567:604    SD: 0.2181 cents
 319:336:357:378:399:425:448:478:504:532:567:599:638    SD: 0.2104 cents
 334:352:374:396:418:445:469:501:528:557:594:627:668    SD: 0.1896 cents
 378:398:423:448:473:504:531:567:597:631:672:709:756    SD: 0.1813 cents
 410:432:459:486:513:547:576:615:648:684:729:769:820    SD: 0.1313 cents
 486:512:544:576:608:648:683:729:768:811:864:912:972    SD: 0.0947 cents