Scala analysis: spars

Sparschuh circulating scale

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:       2304/2173          101.343051
  2:       2448/2173          206.298460
  3:       2592/2173          305.253052
  4:       2736/2173          398.856067
  5:       2916/2173          509.163054
  6:       3072/2173          599.388050
  7:         80/53            712.809168
  8:       3456/2173          803.298052
  9:       3648/2173          896.901066
 10:       3888/2173         1007.208053
 11:       4104/2173         1100.811068
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:       2173/2052           99.1889 
  1:       2304/2173          101.3431 
  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:       2173/2052           99.1889 
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 256/243             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 2173/2052           99.189 cents   
  1:   1 2304/2173           101.343 cents  
  1:   1 17/16               104.955 cents  17th harmonic
  1:   2 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 2173/1944           192.792 cents  
  2:   2 64/57               200.532 cents  
  2:   1 820/729             203.646 cents  
  2:   5 9/8                 203.910 cents  major whole tone
  2:   1 2448/2173           206.298 cents  
  3:   3 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 2173/1824           303.099 cents  
  3:   1 2592/2173           305.253 cents  
  3:   1 68/57               305.487 cents  
  3:   1 205/171             313.953 cents  
  4:   1 304/243             387.738 cents  
  4:   1 513/410             388.002 cents  
  4:   1 64/51               393.090 cents  
  4:   1 2173/1728           396.702 cents  
  4:   1 2736/2173           398.856 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:   2 81/64               407.820 cents  Pythagorean major third
  5:   1 53/40               487.191 cents  
  5:   7 4/3                 498.045 cents  perfect fourth
  5:   1 171/128             501.423 cents  
  5:   1 205/153             506.511 cents  
  5:   1 2916/2173           509.163 cents  
  5:   1 51/38               509.397 cents  
  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 3072/2173           599.388 cents  
  6:   1 2173/1536           600.612 cents  
  6:   1 17/12               603.000 cents  2nd septendecimal tritone
  6:   3 27/19               608.352 cents  
  6:   1 205/144             611.466 cents  
  7:   1 76/51               690.603 cents  
  7:   1 2173/1458           690.837 cents  
  7:   1 306/205             693.489 cents  
  7:   1 256/171             698.577 cents  
  7:   7 3/2                 701.955 cents  perfect fifth
  7:   1 80/53               712.809 cents  
  8:   2 128/81              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 2173/1368           801.144 cents  
  8:   1 3456/2173           803.298 cents  
  8:   1 51/32               806.910 cents  
  8:   1 820/513             811.998 cents  
  8:   1 243/152             812.262 cents  
  9:   1 342/205             886.047 cents  
  9:   1 57/34               894.513 cents  
  9:   1 2173/1296           894.747 cents  
  9:   1 3648/2173           896.901 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:   3 27/16               905.865 cents  Pythagorean major sixth
 10:   1 2173/1224           993.702 cents  
 10:   5 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 3888/2173           1007.208 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:   2 152/81              1089.693 cents 
 11:   1 32/17               1095.045 cents 17th subharmonic
 11:   1 2173/1152           1098.657 cents 
 11:   1 4104/2173           1100.811 cents 
 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:   1 243/128             1109.775 cents Pythagorean major seventh
Highest number of different intervals for one interval class: 9
Average number of different intervals per interval class: 7.81818 = 86/11
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12    
 0.0   : 101.3 206.3 305.3 398.9 509.2 599.4 712.8 803.3 896.9 1007.2 1100.8 1200.0
 101.3 : 105.0 203.9 297.5 407.8 498.0 611.5 702.0 795.6 905.9 999.5  1098.7 1200.0
 206.3 : 99.0  192.6 302.9 393.1 506.5 597.0 690.6 800.9 894.5 993.7  1095.0 1200.0
 305.3 : 93.6  203.9 294.1 407.6 498.0 591.6 702.0 795.6 894.7 996.1  1101.0 1200.0
 398.9 : 110.3 200.5 314.0 404.4 498.0 608.4 702.0 801.1 902.5 1007.4 1106.4 1200.0
 509.2 : 90.2  203.6 294.1 387.7 498.0 591.6 690.8 792.2 897.1 996.1  1089.7 1200.0
 599.4 : 113.4 203.9 297.5 407.8 501.4 600.6 702.0 806.9 905.9 999.5  1109.8 1200.0
 712.8 : 90.5  184.1 294.4 388.0 487.2 588.5 693.5 792.4 886.0 996.4  1086.6 1200.0
 803.3 : 93.6  203.9 297.5 396.7 498.0 603.0 702.0 795.6 905.9 996.1  1109.5 1200.0
 896.9 : 110.3 203.9 303.1 404.4 509.4 608.4 702.0 812.3 902.5 1015.9 1106.4 1200.0
 1007.2: 93.6  192.8 294.1 399.1 498.0 591.6 702.0 792.2 905.6 996.1  1089.7 1200.0
 1100.8: 99.2  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  .. 206.2985 cents      1020/1007, 22.2066 cents           43776/42025, 70.6708 cents
  3:  294.1350  .. 313.9531 cents      615/608, 19.8181 cents             4346/4131, 87.8365 cents
  4:  387.7380  .. 407.8200 cents      19683/19456, 20.0820 cents         5776/5535, 73.7849 cents
  5:  487.1908  .. 509.3974 cents      1020/1007, 22.2066 cents           424/405, 79.3708 cents
  6:  588.5339  .. 611.4661 cents      42025/41472, 22.9322 cents         3648/3485, 79.1365 cents
  7:  690.6026  .. 712.8092 cents      1020/1007, 22.2066 cents           3648/3485, 79.1365 cents
  8:  792.1800  .. 812.2620 cents      19683/19456, 20.0820 cents         424/405, 79.3708 cents
  9:  886.0469  .. 905.8650 cents      615/608, 19.8181 cents             5776/5535, 73.7849 cents
 10:  993.7015  .. 1015.9081 cents     1020/1007, 22.2066 cents           4346/4131, 87.8365 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         : 99.07176 cents, amount: 0
Most common interval of one step    : 19/18, 93.6030 cents, amount: 3
Least squares average step          : 100.36373 cents, oct.:  1204.36481 cents
Scale is strictly proper
Step pattern alph. order: ABCDEFGHDEDI
Step pattern size order : FGDCHAIBCHCE
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 70.67078 cents
Scale diversity                     : 1.168211
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.801708
Rothenberg efficiency               : 0.248169   redundancy: 0.751831
Efficiency x scale size             : 2.978030
Number of different interval sizes  : 86 = 7.81818 / class
Number of one step interval sizes   : 9
Highest interval variety            : 9
Mean interval variety               : 7.81818 = 86/11
Median interval variety             : 6
Lowest interval variety             : 6
Smallest interval difference        : 36941/36936, 0.2343 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 7
Most common triad is 0.0 498.045 701.955 cents, amount: 5
Number of recognisable fifths       : 12, average 700.0000 cents
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 22.2066 cents:
 1 3 4 6 8 9 10 11
Limited inverse transpositions with margin 22.2066 cents:
 1 3 4 5 6 7 8 10 11
-- Rational properties --
Prime limit                         : 53
Odd number limit                    : 2173 (O: 2173 U: 2173)
Highest odd numerator or denominator: 2173
Scale harmonicity                   : 0.010350
Fundamental                         : 1/2173, -11.0855 octaves, 0.1204 Hz.
Guide tone                          : 1205591040,  30.1671 octaves, 315413437361.820 Hz.
Exponens Consonantiae               : 2.619749E+12, 41.25257 octaves
Euler's gradus suavitatis           : 153
Sum of Mann's harmonic distance     : 26515.0, average 2209.58333
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 35.09487, average 2.92457
Sum of Tenney's harmonic distance   : 72.15681, average 6.01307
Vogel's harmonic complexity         : 29.91667
Wille's k value                     : 1086
Wilson's harmonic complexity        : 153
Rectangular lattice diameter        : 11
Triangular lattice diameter         : 6
Lattice compactness                 : 345.58647, average 4.43060
Lattice compactness (without 2's)   : 193.23795, average 2.47741
Number of different primes          : 7
Prime exponents' range, average, count, tones@limit:
  2:   1 .. 10        4.83333   58    1
  3:   0 .. 6         2.41667   29
  5:   0 .. 1         0.08333   1
 17:   0 .. 1         0.08333   1
 19:   0 .. 1         0.25000   3
 41:  -1 .. 0        -0.83333   10
 53:  -1 .. 0        -0.91667   11    11
Average exponent except 2's         : 13 / 12 = 1.08333
Average absolute exponent except 2's: 55 / 12 = 4.58333
Scale is weakly epimorphic with val: <12 19 27 47 49 62 70|
Scale is weakly epimorphic with val: <12 19 27 47 51 65 70|
Scale is JI-epimorphic with val: <12 19 27 49 51 65 68|
Scale is JI-epimorphic with val: <12 19 28 49 51 64 69| = patent
Scale is weakly epimorphic with val: <12 19 29 47 49 67 70|
Scale is JI-epimorphic with val: <12 19 29 49 51 63 70|
FIT/MODE
 12:  1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 5.7146 c. M: 12.8092 c.  Twelve-tone Chromatic (1/11-comma)
 40:  3 4 3 3 4 3 4 3 3 4 3 3  SP   D3   SD: 7.0932 c. M:-12.7919 c. 
 44:  4 4 3 4 4 3 4 3 4 4 3 4  SP   D3   SD: 7.6038 c. M: 12.3890 c. 
 45:  4 4 3 4 4 3 5 3 4 4 3 4  SP   D3   SD: 7.3068 c. M: 12.7214 c. 
 46:  4 4 4 3 5 3 4 4 3 5 3 4  SP   D3 S SD: 7.1935 c. M:-12.5761 c. 
 50:  4 5 4 4 4 4 5 3 4 5 4 4  SP   D3   SD: 6.7590 c. M: 11.2981 c. 
 51:  4 5 4 4 5 3 5 4 4 5 4 4  SP   D3   SD: 5.7245 c. M: 11.1528 c. 
 52:  4 5 4 4 5 4 5 4 4 5 4 4  SP   D3   SD: 5.0526 c. M: 9.0354 c. 
 60:  5 5 5 5 5 5 6 4 5 5 5 5  SP   T3   SD: 4.8263 c. M: 9.1631 c. 
 63:  5 6 5 5 6 4 6 5 5 6 5 5  SP   D3   SD: 4.6031 c. M: 8.9119 c. 
 64:  5 6 5 5 6 5 6 5 5 6 5 5  SP   D3   SD: 4.0433 c. M: 7.5931 c. 
 70:  6 6 6 5 7 5 7 5 5 7 5 6  SP   T3   SD: 3.8720 c. M:-7.1908 c. 
 75:  6 7 6 6 7 5 8 5 6 7 6 6  SP        SD: 3.7765 c. M: 7.3880 c. 
 76:  6 7 6 6 7 6 7 6 6 7 6 6  SP   D3   SD: 3.5866 c. M: 6.6062 c. 
 82:  7 7 7 6 8 6 8 6 6 8 6 7  SP   T3   SD: 2.6851 c. M:-4.2640 c. 
 94:  8 8 8 7 9 7 9 7 7 9 7 8  SP   T3   SD: 1.9295 c. M: 3.2840 c. 
 106: 9 9 9 8 10 8 10 8 8 10 8 9  SP   T3   SD: 1.5422 c. M: 2.6979 c. 
 118: 10 10 10 9 11 9 11 9 9 11 9 10  SP   T3   SD: 1.4666 c. M: 2.9086 c. 
 130: 11 11 11 10 12 10 12 10 10 12 10 11  SP   T3   SD: 1.5874 c. M: 3.2215 c. 
 193: 16 17 16 15 18 14 19 14 15 18 15 16  SP        SD: 1.3408 c. M: 2.4969 c. 
 205: 17 18 17 16 19 15 20 15 16 19 16 17  SP        SD: 1.2129 c. M: 2.3149 c. 
 217: 18 19 18 17 20 16 21 16 17 20 17 18  SP        SD: 1.1847 c. M: 2.1530 c. 
 229: 19 20 19 18 21 17 22 17 18 21 18 19  SP        SD: 1.2333 c. M: 2.0081 c. 
 241: 20 21 20 19 22 18 23 18 19 22 19 20  SP        SD: 1.3306 c. M: 2.1491 c. 
 244: 21 21 20 19 23 18 23 18 19 23 19 20  SP        SD: 1.2148 c. M:-2.3124 c. 
 250: 21 22 21 19 23 19 24 18 20 23 19 21  SP        SD: 1.1945 c. M:-2.3908 c. 
 256: 22 22 21 20 24 19 24 19 20 24 20 21  SP        SD: 1.0707 c. M:-1.7819 c. 
 262: 22 23 22 20 24 20 25 19 21 24 20 22  SP        SD: 1.0575 c. M: 1.7713 c. 
 268: 23 23 22 21 25 20 25 20 21 25 21 22  SP        SD: 0.9999 c. M: 1.8055 c. 
 274: 23 24 23 21 25 21 26 20 22 25 21 23  SP        SD: 0.9912 c. M: 1.8382 c. 
 286: 24 25 24 22 26 22 27 21 23 26 22 24  SP        SD: 0.9900 c. M: 1.8995 c. 
 300: 25 27 24 24 27 23 28 23 23 28 23 25  SP        SD: 1.0226 c. M:-1.7015 c. 
 306: 26 27 25 24 28 23 29 23 24 28 24 25  SP        SD: 0.8901 c. M:-1.5447 c. 
 312: 26 28 25 25 28 24 29 24 24 29 24 26  SP        SD: 1.0383 c. M: 1.4707 c. 
 313: 26 28 26 24 29 23 30 24 24 29 24 26  SP        SD: 1.0231 c. M:-1.8138 c. 
 316: 27 27 26 25 29 24 30 24 24 29 25 26  SP        SD: 0.9731 c. M:-1.7652 c. 
 318: 27 28 26 25 29 24 30 24 25 29 25 26  SP        SD: 0.7585 c. M:-1.2487 c. 
 330: 28 29 27 26 30 25 31 25 26 30 26 27  SP        SD: 0.6882 c. M:-1.2808 c. 
 342: 29 30 28 27 31 26 32 26 27 31 27 28  SP        SD: 0.6819 c. M:-1.3445 c. 
 353: 30 31 29 27 33 26 34 26 28 32 28 29  SP        SD: 0.8600 c. M: 1.1224 c. 
 354: 30 31 29 28 32 27 33 27 28 32 28 29  SP        SD: 0.7290 c. M:-1.4040 c. 
 379: 32 33 31 30 35 28 36 29 29 35 30 31  SP        SD: 0.7179 c. M: 1.2953 c. 
 400: 34 35 33 31 37 30 38 30 31 37 31 33  SP        SD: 0.6558 c. M:-1.1908 c. 
 412: 35 36 34 32 38 31 39 31 32 38 32 34  SP        SD: 0.4970 c. M:-0.7831 c. 
 424: 36 37 35 33 39 32 40 32 33 39 33 35  SP        SD: 0.3688 c. M:-0.6120 c. 
 436: 37 38 36 34 40 33 41 33 34 40 34 36  SP        SD: 0.2936 c. M:-0.6120 c. 
 535: 45 47 44 42 49 40 51 40 42 49 42 44  SP        SD: 0.3269 c. M: 0.5095 c. 
 547: 46 48 45 43 50 41 52 41 43 50 43 45  SP        SD: 0.3319 c. M: 0.4849 c. 
 559: 47 49 46 44 51 42 53 42 44 51 44 46  SP        SD: 0.3784 c. M: 0.4614 c. 
 566: 48 49 47 44 52 43 53 43 44 52 44 47  SP        SD: 0.3696 c. M: 0.6447 c. 
 605: 51 53 50 47 56 45 57 46 47 56 47 50  SP        SD: 0.3471 c. M: 0.7431 c. 
 629: 53 55 52 49 58 47 60 47 49 58 49 52  SP        SD: 0.2706 c. M:-0.7043 c. 
 641: 54 56 53 50 59 48 61 48 50 59 50 53  SP        SD: 0.2231 c. M:-0.4514 c. 
 653: 55 57 54 51 60 49 62 49 51 60 51 54  SP        SD: 0.2238 c. M: 0.4792 c. 
 665: 56 58 55 52 61 50 63 50 52 61 52 55  SP        SD: 0.2676 c. M: 0.5842 c. 
 947: 80 83 78 74 87 71 90 71 74 87 74 78  SP        SD: 0.2601 c. M:-0.6016 c. 
 959: 81 84 79 75 88 72 91 72 75 88 75 79  SP        SD: 0.2108 c. M:-0.4338 c. 
 971: 82 85 80 76 89 73 92 73 76 89 76 80  SP        SD: 0.1798 c. M:-0.3218 c. 
 983: 83 86 81 77 90 74 93 74 77 90 77 81  SP        SD: 0.1747 c. M:-0.3522 c. 
 1065: 90 93 88 83 98 80 101 80 83 98 83 88  SP        SD: 0.1447 c. M:-0.4303 c. 
 1077: 91 94 89 84 99 81 102 81 84 99 84 89  SP        SD: 0.1011 c. M:-0.2828 c. 
 1089: 92 95 90 85 100 82 103 82 85 100 85 90  SP        SD: 0.0890 c. M: 0.2379 c. 
 1513: 128 132 125 118 139 114 143 114 118 139 118 125  SP        SD: 0.1255 c. M:-0.2154 c. 
 1525: 129 133 126 119 140 115 144 115 119 140 119 126  SP        SD: 0.1140 c. M:-0.2185 c. 
 1588: 134 139 131 124 146 119 150 120 124 146 124 131  SP        SD: 0.1199 c. M: 0.2147 c. 
 1636: 138 143 135 128 150 123 155 123 128 150 128 135  SP        SD: 0.1368 c. M: 0.1860 c. 
 1670: 141 146 138 130 154 125 158 126 130 154 130 138  SP        SD: 0.1279 c. M:-0.2980 c. 
 1682: 142 147 139 131 155 126 159 127 131 155 131 139  SP        SD: 0.1072 c. M:-0.2305 c. 
 1694: 143 148 140 132 156 127 160 128 132 156 132 140  SP        SD: 0.1001 c. M: 0.1763 c. 
 1860: 157 163 153 145 171 140 176 140 145 171 145 154  SP        SD: 0.1097 c. M: 0.1659 c. 
 1872: 158 164 154 146 172 141 177 141 146 172 146 155  SP        SD: 0.1158 c. M: 0.1887 c. 
 2000: 169 175 165 156 184 150 189 151 156 184 156 165  SP        SD: 0.1307 c. M:-0.2369 c. 
 2012: 170 176 166 157 185 151 190 152 157 185 157 166  SP        SD: 0.1147 c. M:-0.1830 c. 
 2024: 171 177 167 158 186 152 191 153 158 186 158 167  SP        SD: 0.1078 c. M:-0.1771 c. 
 2118: 179 185 175 165 195 159 200 160 165 195 165 175  SP        SD: 0.0929 c. M:-0.1854 c. 
 2130: 180 186 176 166 196 160 201 161 166 196 166 176  SP        SD: 0.0835 c. M: 0.1331 c. 
 2296: 194 201 189 179 211 173 217 173 179 211 179 190  SP        SD: 0.0791 c. M:-0.1475 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: 5.4271 cents
 3 x x x x 4 x x x 5 x x 6  S SD: 5.5869 cents
 4 x x x 5 x x 6 x x 7 x 8  S SD: 10.4532 cents
 5 x x 6 x x 7 x 8 x 9 x 10  S SD: 4.9337 cents
 6 x x 7 x 8 x 9 x 10:11 x 12  S SD: 10.0678 cents
 7 x 8 x 9 x 10 x 11:12 x 13:14  S SD: 9.9505 cents
 8 x 9 x 10:11 x 12:13 x 14:15:16  S SD: 8.9044 cents
 9 x 10:11 x 12:13 x 14:15:16:17:18  S SD: 8.3236 cents
 10 x 11:12 x 13:14:15:16:17:18:19:20  S SD: 7.7663 cents
 11:12 x 13:14:15:16:17 x 18:20:21:22  S SD: 10.4821 cents
 12:13 x 14:15:16:17:18:19:20:21:23:24    SD: 6.8104 cents
 13:14:15 x 16:17:18:20:21:22:23:25:26    SD: 9.3850 cents
 14:15:16:17:18:19:20:21:22:24:25:26:28  S SD: 6.7921 cents
 15:16:17:18:19:20:21:23:24:25:27:28:30    SD: 4.0510 cents
 24:25:27:29:30:32:34:36:38:40:43:45:48    SD: 3.9428 cents
 26:28:29:31:33:35:37:39:41:44:47:49:52    SD: 3.9405 cents
 27:29:30:32:34:36:38:41:43:45:48:51:54    SD: 3.5089 cents
 29:31:33:35:37:39:41:44:46:49:52:55:58    SD: 3.4817 cents
 30:32:34:36:38:40:42:45:48:50:54:57:60    SD: 3.1611 cents
 31:33:35:37:39:42:44:47:49:52:55:59:62    SD: 2.5732 cents
 32:34:36:38:40:43:45:48:51:54:57:60:64    SD: 2.2882 cents
 46:49:52:55:58:62:65:69:73:77:82:87:92    SD: 1.6370 cents
 47:50:53:56:59:63:66:71:75:79:84:89:94    SD: 1.3697 cents
 53:56:60:63:67:71:75:80:84:89:95:100:106    SD: 1.3259 cents
 62:66:70:74:78:83:88:94:99:104:111:117:124    SD: 1.2942 cents
 63:67:71:75:79:85:89:95:100:106:113:119:126    SD: 1.2536 cents
 71:75:80:85:89:95:100:107:113:119:127:134:142    SD: 1.2535 cents
 73:77:82:87:92:98:103:110:116:123:131:138:146    SD: 1.1866 cents
 78:83:88:93:98:105:110:118:124:131:140:147:156    SD: 1.0749 cents
 82:87:92:98:103:110:116:124:130:138:147:155:164    SD: 1.0314 cents
 85:90:96:101:107:114:120:128:135:143:152:161:170    SD: 0.9795 cents
 88:93:99:105:111:118:124:133:140:148:157:166:176    SD: 0.9348 cents
 97:103:109:116:122:130:137:146:154:163:174:183:194    SD: 0.8967 cents
 100:106:113:119:126:134:141:151:159:168:179:189:200    SD: 0.7350 cents
 118:125:133:141:149:158:167:178:188:198:211:223:236    SD: 0.6905 cents
 119:126:134:142:150:160:168:180:189:200:213:225:238    SD: 0.6151 cents
 134:142:151:160:169:180:189:202:213:225:240:253:268    SD: 0.5347 cents
 135:143:152:161:170:181:191:204:215:227:242:255:270    SD: 0.4974 cents
 166:176:187:198:209:223:235:251:264:279:297:314:332    SD: 0.4518 cents
 167:177:188:199:210:224:236:252:266:280:299:315:334    SD: 0.4488 cents
 181:192:204:216:228:243:256:273:288:304:324:342:362    SD: 0.2369 cents
 331:351:373:395:417:444:468:500:526:556:592:625:662    SD: 0.2327 cents
 332:352:374:396:418:446:469:501:528:557:594:627:664    SD: 0.2151 cents
 348:369:392:415:438:467:492:525:553:584:623:657:696    SD: 0.1942 cents
 379:402:427:452:477:509:536:572:603:636:678:716:758    SD: 0.1816 cents
 432:458:487:515:544:580:611:652:687:725:773:816:864    SD: 0.1721 cents
 451:478:508:538:568:605:638:681:717:757:807:852:902    SD: 0.1571 cents
 467:495:526:557:588:627:660:705:743:784:836:882:934    SD: 0.1378 cents
 483:512:544:576:608:648:683:729:768:811:864:912:966    SD: 0.1049 cents