Scala analysis: balasept-above

5.7.13.15 tuning based on a single Balasept sequence

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        517/480           128.555850
  2:        277/240           248.221885
  3:        199/160           377.635831
  4:         13/10            454.213948 tridecimal semi-diminished fourth
  5:          4/3             498.044999 perfect fourth
  6:        689/480           625.763493
  7:          3/2             701.955001 perfect fifth
  8:         53/32            873.504545
  9:         26/15            952.258947 tridecimal semi-augmented sixth
 10:         28/15           1080.557192 grave major seventh
 11:         39/20           1156.168949
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         40/39             43.8311 tridecimal minor diesis
  1:        517/480           128.5558 
  2:        554/517           119.6660 
  3:        597/554           129.4139 
  4:        208/199            76.5781 
  5:         40/39             43.8311 tridecimal minor diesis
  6:        689/640           127.7185 
  7:        720/689            76.1915 
  8:         53/48            171.5495 
  9:        832/795            78.7544 
 10:         14/13            128.2982 2/3-tone
 11:        117/112            75.6118 
 12:         40/39             43.8311 tridecimal minor diesis
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   2 40/39               43.831 cents   tridecimal minor diesis
  1:   1 117/112             75.612 cents   
  1:   1 720/689             76.192 cents   
  1:   1 208/199             76.578 cents   
  1:   1 832/795             78.754 cents   
  1:   1 554/517             119.666 cents  
  1:   1 689/640             127.718 cents  
  1:   1 14/13               128.298 cents  2/3-tone
  1:   1 517/480             128.556 cents  
  1:   1 597/554             129.414 cents  
  1:   1 53/48               171.550 cents  
  2:   1 15/14               119.443 cents  major diatonic semitone
  2:   1 640/597             120.409 cents  
  2:   1 53/48               171.550 cents  
  2:   1 517/468             172.387 cents  
  2:   2 9/8                 203.910 cents  major whole tone
  2:   1 312/277             205.992 cents  
  2:   1 896/795             207.053 cents  
  2:   1 15/13               247.741 cents  tridecimal 5/4-tone
  2:   1 277/240             248.222 cents  
  2:   1 597/517             249.080 cents  
  2:   1 52/45               250.304 cents  
  3:   2 15/13               247.741 cents  tridecimal 5/4-tone
  3:   1 517/448             247.999 cents  
  3:   1 689/597             248.128 cents  
  3:   1 320/277             249.823 cents  
  3:   1 312/265             282.664 cents  
  3:   1 277/234             292.053 cents  
  3:   1 624/517             325.658 cents  
  3:   1 64/53               326.495 cents  
  3:   1 159/128             375.460 cents  
  3:   1 199/160             377.636 cents  
  3:   1 56/45               378.602 cents  septimal narrow major third
  4:   1 240/199             324.319 cents  
  4:   1 64/53               326.495 cents  
  4:   1 277/224             367.665 cents  
  4:   1 640/517             369.489 cents  
  4:   1 517/416             376.297 cents  
  4:   1 689/554             377.542 cents  
  4:   1 265/208             419.291 cents  
  4:   1 199/156             421.467 cents  
  4:   3 13/10               454.214 cents  tridecimal semi-diminished fourth
  4:   1 896/689             454.794 cents  
  5:   1 360/277             453.733 cents  
  5:   1 1034/795            455.051 cents  
  5:   1 265/199             495.869 cents  
  5:   1 277/208             495.963 cents  
  5:   1 597/448             497.079 cents  
  5:   1 689/517             497.208 cents  
  5:   4 4/3                 498.045 cents  perfect fourth
  5:   1 72/53               530.405 cents  
  5:   1 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  6:   1 160/117             541.876 cents  
  6:   1 720/517             573.399 cents  
  6:   1 39/28               573.657 cents  
  6:   1 960/689             574.237 cents  
  6:   1 832/597             574.623 cents  
  6:   1 1108/795            574.717 cents  
  6:   1 795/554             625.283 cents  
  6:   1 597/416             625.377 cents  
  6:   1 689/480             625.763 cents  
  6:   1 56/39               626.343 cents  
  6:   1 517/360             626.601 cents  
  6:   1 117/80              658.124 cents  
  7:   1 10/7                617.488 cents  Euler's tritone
  7:   1 53/36               669.595 cents  
  7:   4 3/2                 701.955 cents  perfect fifth
  7:   1 1034/689            702.792 cents  
  7:   1 896/597             702.921 cents  
  7:   1 416/277             704.037 cents  
  7:   1 398/265             704.131 cents  
  7:   1 795/517             744.949 cents  
  7:   1 277/180             746.267 cents  
  8:   1 689/448             745.206 cents  
  8:   3 20/13               745.786 cents  tridecimal semi-augmented fifth
  8:   1 312/199             778.533 cents  
  8:   1 416/265             780.709 cents  
  8:   1 1108/689            822.458 cents  
  8:   1 832/517             823.703 cents  
  8:   1 517/320             830.511 cents  
  8:   1 448/277             832.335 cents  
  8:   1 53/32               873.505 cents  
  8:   1 199/120             875.681 cents  
  9:   1 45/28               821.398 cents  septimale wide minor sixth
  9:   1 320/199             822.364 cents  
  9:   1 256/159             824.540 cents  
  9:   1 53/32               873.505 cents  
  9:   1 517/312             874.342 cents  
  9:   1 468/277             907.947 cents  
  9:   1 265/156             917.336 cents  
  9:   1 277/160             950.177 cents  
  9:   1 1194/689            951.872 cents  
  9:   1 896/517             952.001 cents  
  9:   2 26/15               952.259 cents  tridecimal semi-augmented sixth
 10:   1 45/26               949.696 cents  
 10:   1 1034/597            950.920 cents  
 10:   1 480/277             951.778 cents  
 10:   1 26/15               952.259 cents  tridecimal semi-augmented sixth
 10:   1 795/448             992.947 cents  
 10:   1 277/156             994.008 cents  
 10:   2 16/9                996.090 cents  Pythagorean minor seventh
 10:   1 936/517             1027.613 cents 
 10:   1 96/53               1028.450 cents 
 10:   1 597/320             1079.591 cents 
 10:   1 28/15               1080.557 cents grave major seventh
 11:   1 96/53               1028.450 cents 
 11:   1 1108/597            1070.586 cents 
 11:   1 960/517             1071.444 cents 
 11:   1 13/7                1071.702 cents 16/3-tone
 11:   1 1280/689            1072.282 cents 
 11:   1 517/277             1080.334 cents 
 11:   1 795/416             1121.246 cents 
 11:   1 199/104             1123.422 cents 
 11:   1 689/360             1123.808 cents 
 11:   1 224/117             1124.388 cents 
 11:   2 39/20               1156.169 cents 
Highest number of different intervals for one interval class: 12
Average number of different intervals per interval class: 10.54545 = 116/11
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12    
 0.0   : 128.6 248.2 377.6 454.2 498.0 625.8 702.0 873.5 952.3 1080.6 1156.2 1200.0
 128.6 : 119.7 249.1 325.7 369.5 497.2 573.4 744.9 823.7 952.0 1027.6 1071.4 1200.0
 248.2 : 129.4 206.0 249.8 377.5 453.7 625.3 704.0 832.3 907.9 951.8  1080.3 1200.0
 377.6 : 76.6  120.4 248.1 324.3 495.9 574.6 702.9 778.5 822.4 950.9  1070.6 1200.0
 454.2 : 43.8  171.5 247.7 419.3 498.0 626.3 702.0 745.8 874.3 994.0  1123.4 1200.0
 498.0 : 127.7 203.9 375.5 454.2 582.5 658.1 702.0 830.5 950.2 1079.6 1156.2 1200.0
 625.8 : 76.2  247.7 326.5 454.8 530.4 574.2 702.8 822.5 951.9 1028.5 1072.3 1200.0
 702.0 : 171.5 250.3 378.6 454.2 498.0 626.6 746.3 875.7 952.3 996.1  1123.8 1200.0
 873.5 : 78.8  207.1 282.7 326.5 455.1 574.7 704.1 780.7 824.5 952.3  1028.5 1200.0
 952.3 : 128.3 203.9 247.7 376.3 496.0 625.4 702.0 745.8 873.5 949.7  1121.2 1200.0
 1080.6: 75.6  119.4 248.0 367.7 497.1 573.7 617.5 745.2 821.4 992.9  1071.7 1200.0
 1156.2: 43.8  172.4 292.1 421.5 498.0 541.9 669.6 745.8 917.3 996.1  1124.4 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  43.8311   .. 171.5495 cents      689/640, 127.7185 cents            40/39, 43.8311 cents
  2:  119.4428  .. 250.3039 cents      728/675, 130.8611 cents            360/371,-52.1067 cents
  3:  247.7411  .. 378.6022 cents      728/675, 130.8611 cents            675/676,-2.5629 cents
  4:  324.3192  .. 454.7937 cents      11144/10335, 130.4745 cents        1350/1393,-54.2830 cents
  5:  453.7331  .. 582.5122 cents      1939/1800, 128.7791 cents          31005/31024,-1.0606 cents
  6:  541.8761  .. 658.1239 cents      13689/12800, 116.2479 cents        800/819,-40.6361 cents
  7:  617.4878  .. 746.2669 cents      1939/1800, 128.7791 cents          800/819,-40.6361 cents
  8:  745.2063  .. 875.6808 cents      11144/10335, 130.4745 cents        31005/31024,-1.0606 cents
  9:  821.3978  .. 952.2589 cents      728/675, 130.8611 cents            1350/1393,-54.2830 cents
 10:  949.6961  .. 1080.5572 cents     728/675, 130.8611 cents            675/676,-2.5629 cents
 11:  1028.4505 .. 1156.1689 cents     689/640, 127.7185 cents            360/371,-52.1067 cents
SHOW DATA
Number of notes                     : 12
-- Interval properties --
Smallest interval                   : 40/39, 43.8311 cents, class 1
Average step (divided formal octave): 100.0000 cents
Largest one step interval           : 53/48, 171.5495 cents
Average / Smallest step             : 2.281488
Largest / Average step              : 1.715495
Largest / Smallest step             : 3.913882
Median interval of one step         : 99.21022 cents, amount: 0
Most common interval of one step    : 40/39, 43.8311 cents, amount: 2
Least squares average step          : 104.94623 cents, oct.:  1259.35479 cents
Scale is not proper
Step pattern alph. order: ABCDEFGHIJKE
Step pattern size order : IFJDAGCKEHBA
Scale is not a Constant Structure
Scale diversity                     : 1.437889
Lumma stability                     : 0.073052
Lumma impropriety factor            : 0.251082
Rothenberg efficiency               : 0.194276   redundancy: 0.805724
Efficiency x scale size             : 2.331313
Number of different interval sizes  : 110 = 10.00000 / class
Number of one step interval sizes   : 11
Highest interval variety            : 12
Mean interval variety               : 10.54545 = 116/11
Median interval variety             : 9
Lowest interval variety             : 9
Smallest interval difference        : 55123/55120, 0.0942 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 4
Number of recognisable fifths       : 8, average 702.7128 cents
Scale contains a complete diamond   : 1 3
Formal octave complements present   : 3 = 25.0000%
-- Rational properties --
Prime limit                         : 277
Odd number limit                    : 795 (O: 795 U: 795)
Highest odd numerator or denominator: 689
Scale harmonicity                   : 0.014419
Fundamental                         : 1/480, -8.9069 octaves, 0.5451 Hz.
Guide tone                          : too high to compute
Exponens Consonantiae               : 7.917045E+14, 49.49196 octaves
Euler's gradus suavitatis           : 616
Sum of Mann's harmonic distance     : 1654.0, average 137.83333
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 18.02875, average 1.50240
Sum of Tenney's harmonic distance   : 35.84800, average 2.98733
Vogel's harmonic complexity         : 65.08333
Wille's k value                     : 397
Wilson's harmonic complexity        : 618
Rectangular lattice diameter        : 10
Triangular lattice diameter         : 3
Lattice compactness                 : 296.77385, average 3.80479
Lattice compactness (without 2's)   : 113.46865, average 1.45473
Number of different primes          : 10
Prime exponents' range, average, count, tones@limit:
  2:  -5 .. 2        -1.83333   34    1
  3:  -1 .. 1        -0.33333   8     2
  5:  -1 .. 0        -0.66667   8
  7:   0 .. 1         0.08333   1     1
 11:   0 .. 1         0.08333   1
 13:   0 .. 1         0.33333   4     3
 47:   0 .. 1         0.08333   1     1
 53:   0 .. 1         0.16667   2     2
 199:  0 .. 1         0.08333   1     1
 277:  0 .. 1         0.08333   1     1
Average exponent except 2's         :-1 / 12 =-0.08333
Average absolute exponent except 2's: 27 / 12 = 2.25000
FIT/MODE
 12:  1 1 1 1 0 2 0 2 1 1 1 1   N   T3   SD: 64.9083 c. M: 101.9550 c. 
 13:  1 1 2 0 1 1 1 2 1 1 1 1   N   D3   SD: 51.2725 c. M: 84.9832 c. 
 14:  1 2 1 1 1 1 1 2 1 1 1 1   P B ME   SD: 28.5572 c. M: 51.9858 c. 
 15:  2 1 2 1 0 2 1 2 1 2 1 0   N        SD: 23.5484 c. M:-43.8311 c. 
 16:  2 1 2 1 1 1 1 3 1 1 1 1   N   D3   SD: 22.8494 c. M: 31.1689 c. 
 17:  2 1 2 1 1 2 1 2 1 2 1 1   P M ME   SD: 22.8165 c. M: 36.4572 c. 
 18:  2 2 2 1 0 2 1 3 1 2 1 1   N        SD: 20.4761 c. M: 35.2883 c. 
 19:  2 2 2 1 1 2 1 3 1 2 1 1   N   D3   SD: 8.5153 c. M: 19.3268 c. 
 28:  3 3 3 2 1 3 1 4 2 3 2 1   N        SD: 11.9069 c. M:-17.2146 c. 
 29:  3 3 3 2 1 3 2 4 2 3 2 1   N        SD: 3.2514 c. M: 5.2220 c. 
 48:  5 5 5 3 2 5 3 7 3 5 3 2   N        SD: 3.2277 c. M: 6.1689 c. 
 63:  7 6 7 4 2 7 4 9 4 7 4 2   N        SD: 3.3308 c. M:-5.7358 c. 
 77:  8 8 8 5 3 8 5 11 5 8 5 3   N        SD: 2.5847 c. M: 5.2325 c. 
 82:  9 8 9 5 3 9 5 12 5 9 5 3   N        SD: 2.2134 c. M:-4.5442 c. 
 92:  10 9 10 6 3 10 6 13 6 10 6 3   N        SD: 1.9883 c. M:-4.7006 c. 
 110: 12 11 12 7 4 11 7 16 7 12 7 4   N        SD: 2.9015 c. M:-4.1824 c. 
 111: 12 11 12 7 4 12 7 16 7 12 7 4   N        SD: 0.9578 c. M:-2.1711 c. 
 140: 15 14 15 9 5 15 9 20 9 15 9 5   N        SD: 0.6164 c. M:-0.9739 c. 
 301: 32 30 33 19 11 32 19 43 20 32 19 11   N        SD: 0.5814 c. M:-1.1017 c. 
 330: 35 33 36 21 12 35 21 47 22 35 21 12   N        SD: 0.5958 c. M: 1.2831 c. 
 378: 40 38 41 24 14 40 24 54 25 40 24 14   N        SD: 0.6690 c. M: 1.5717 c. 
 381: 41 38 41 24 14 41 24 54 25 41 24 14   N        SD: 0.6461 c. M: 1.0778 c. 
 383: 41 38 42 24 14 41 24 55 25 41 24 14   N        SD: 0.5840 c. M:-1.4764 c. 
 412: 44 41 45 26 15 44 26 59 27 44 26 15   N        SD: 0.4028 c. M:-1.0049 c. 
 441: 47 44 48 28 16 47 28 63 29 47 28 16   N        SD: 0.3426 c. M: 0.6647 c. 
 552: 59 55 60 35 20 59 35 79 36 59 35 20   N        SD: 0.3118 c. M:-0.6250 c. 
 581: 62 58 63 37 21 62 37 83 38 62 37 21   N        SD: 0.2978 c. M: 0.5008 c. 
 692: 74 69 75 44 25 74 44 99 45 74 44 25   N        SD: 0.3119 c. M:-0.4839 c. 
 735: 79 73 79 47 27 78 47 105 48 79 46 27   N        SD: 0.2990 c. M: 0.4930 c. 
 764: 82 76 82 49 28 81 49 109 50 82 48 28   N        SD: 0.3273 c. M: 0.6725 c. 
 822: 88 82 89 52 30 88 52 117 54 88 52 30   N        SD: 0.3114 c. M:-0.5139 c. 
 824: 88 82 89 53 30 88 52 118 54 88 52 30   N        SD: 0.3083 c. M: 0.6491 c. 
 846: 91 84 91 54 31 90 54 121 55 91 53 31   N        SD: 0.2887 c. M:-0.5222 c. 
 867: 93 86 94 55 32 92 55 124 57 93 54 32   N        SD: 0.2709 c. M: 0.4710 c. 
 896: 96 89 97 57 33 95 57 128 59 96 56 33   N        SD: 0.2387 c. M: 0.4540 c. 
 922: 99 92 99 59 34 98 58 132 61 98 58 34   N        SD: 0.3185 c. M:-0.4525 c. 
 925: 99 92 100 59 34 98 59 132 61 99 58 34   N        SD: 0.2515 c. M: 0.4662 c. 
 951: 102 95 102 61 35 101 60 136 63 101 60 35   N        SD: 0.3092 c. M: 0.4310 c. 
 954: 102 95 103 61 35 101 61 136 63 102 60 35   N        SD: 0.2969 c. M: 0.6063 c. 
 959: 103 95 104 61 35 102 61 137 63 103 60 35   N        SD: 0.2479 c. M:-0.5690 c. 
 978: 105 97 106 62 36 104 62 140 64 105 61 36   N        SD: 0.2399 c. M:-0.4244 c. 
 988: 106 98 107 63 36 105 63 141 65 106 62 36   N        SD: 0.2157 c. M: 0.4486 c. 
 1007: 108 100 109 64 37 107 64 144 66 108 63 37   N        SD: 0.1801 c. M: 0.3569 c. 
 1036: 111 103 112 66 38 110 66 148 68 111 65 38   N        SD: 0.1629 c. M: 0.3454 c. 
 1065: 114 106 115 68 39 113 68 152 70 114 67 39   N        SD: 0.1922 c. M: 0.4114 c. 
 1118: 120 111 121 71 41 119 71 160 73 120 70 41   N        SD: 0.1847 c. M:-0.3015 c. 
 1147: 123 114 124 73 42 122 73 164 75 123 72 42   N        SD: 0.1392 c. M: 0.2707 c. 
 1176: 126 117 127 75 43 125 75 168 77 126 74 43   N        SD: 0.1375 c. M: 0.2627 c. 
 1566: 168 156 169 100 57 167 99 224 103 167 99 57   N        SD: 0.1499 c. M:-0.2901 c. 
 1580: 169 158 170 101 58 168 100 226 104 169 99 58   N        SD: 0.1516 c. M: 0.2196 c. 
 1588: 170 158 172 101 58 169 101 227 104 170 100 58   N        SD: 0.1333 c. M: 0.3629 c. 
 1595: 171 159 172 102 58 170 101 228 105 170 101 58   N        SD: 0.1331 c. M:-0.2175 c. 
 1614: 173 161 174 103 59 172 102 231 106 172 102 59   N        SD: 0.1330 c. M: 0.2598 c. 
 1643: 176 164 177 105 60 175 104 235 108 175 104 60   N        SD: 0.1259 c. M: 0.3381 c. 
 1672: 179 167 180 107 61 178 106 239 110 179 105 61   N        SD: 0.1181 c. M:-0.3041 c. 
 1720: 184 172 185 110 63 183 109 246 113 184 108 63   N        SD: 0.1135 c. M: 0.1940 c. 
 1783: 191 178 192 114 65 190 113 255 117 191 112 65   N        SD: 0.1180 c. M:-0.3177 c. 
 1812: 194 181 195 116 66 193 115 259 119 194 114 66   N        SD: 0.1056 c. M:-0.2375 c. 
 1831: 196 183 197 117 67 195 116 262 120 196 115 67   N        SD: 0.1017 c. M:-0.1670 c. 
 1860: 199 186 200 119 68 198 118 266 122 199 117 68   N        SD: 0.0987 c. M: 0.2165 c. 
 2132: 228 213 230 136 78 227 135 305 140 228 134 78   N        SD: 0.0955 c. M: 0.2256 c. 
 2161: 232 215 233 138 79 230 137 309 142 231 136 79   N        SD: 0.0899 c. M:-0.2734 c. 
 2190: 235 218 236 140 80 233 139 313 144 234 138 80   N        SD: 0.0765 c. M:-0.2113 c. 
 2238: 240 223 241 143 82 238 142 320 147 239 141 82   N        SD: 0.0897 c. M: 0.1559 c. 
 2272: 243 227 245 145 83 242 144 325 149 243 143 83   N        SD: 0.0783 c. M: 0.2108 c. 
 2301: 247 229 248 147 84 245 146 329 151 246 145 84   N        SD: 0.0795 c. M:-0.2577 c. 
 2330: 250 232 251 149 85 248 148 333 153 249 147 85   N        SD: 0.0728 c. M:-0.1995 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 5 x x x 6  S SD: 3.6181 cents
 4 x x 5 x x x 6 x 7 x x 8  S SD: 4.6755 cents
 5 x x 6 x x 7 x 8 x 9 x 10  S SD: 23.0272 cents
 6 x 7 x x 8 x 9:10 x 11 x 12  S SD: 6.3217 cents
 7 x 8 x 9 x 10:11 x 12:13 x 14  S SD: 12.4995 cents
 8 x 9:10 x 11 x 12:13:14:15 x 16  S SD: 9.9202 cents
 9:10 x 11 x 12:13:14:15:16:17 x 18  S SD: 11.3060 cents
 10:11 x 12:13 x 14:15 x 17:19 x 20    SD: 11.9318 cents
 11:12:13 x 14:15:16:17:18:19 x 21:22    SD: 10.0231 cents
 12:13:14:15 x 16:17:18:20:21:22:23:24  S SD: 5.2207 cents
 13:14:15:16:17 x 19:20:22:23:24:25:26    SD: 7.5654 cents
 14:15:16:17:18:19:20:21:23:24:26:27:28    SD: 5.5763 cents
 15:16:17:19 x 20:22:23:25:26:28:29:30    SD: 6.7133 cents
 16:17:18:20:21 x 23:24:27:28:30:31:32    SD: 6.0177 cents
 18:19:21:22:23:24:26:27:30:31:34:35:36    SD: 5.3864 cents
 19:20:22:24:25 x 27:29:31:33:35:37:38    SD: 6.5526 cents
 20:22:23:25:26:27:29:30:33:35:37:39:40    SD: 4.3860 cents
 22:24:25:27 x 29:32:33:36:38:41:43:44    SD: 5.1103 cents
 23:25:27:29:30:31:33:35:38:40:43:45:46    SD: 4.3853 cents
 24:26:28:30:31:32:34:36:40:42:45:47:48    SD: 3.4073 cents
 25:27:29:31 x 33:36:38:41:43:47:49:50    SD: 3.7315 cents
 26:28:30:32:34:35:37:39:43:45:49:51:52    SD: 3.0323 cents
 30:32:35:37:39:40:43:45:50:52:56:59:60    SD: 2.8675 cents
 34:37:39:42:44:45:49:51:56:59:63:66:68    SD: 2.8460 cents
 36:39:42:45:47:48:52:54:60:62:67:70:72    SD: 2.6201 cents
 37:40:43:46:48:49:53:56:61:64:69:72:74    SD: 2.1754 cents
 40:43:46:50:52:53:57:60:66:69:75:78:80    SD: 1.9973 cents
 44:47:51:55:57:59:63:66:73:76:82:86:88    SD: 1.9679 cents
 46:50:53:57:60:61:66:69:76:80:86:90:92    SD: 1.8916 cents
 50:54:58:62:65:67:72:75:83:87:93:98:100    SD: 1.6806 cents
 52:56:60:65:68:69:75:78:86:90:97:101:104    SD: 1.6232 cents
 53:57:61:66:69:71:76:80:88:92:99:103:106    SD: 1.4167 cents
 60:65:69:75:78:80:86:90:99:104:112:117:120    SD: 1.3540 cents
 64:69:74:80:83:85:92:96:106:111:119:125:128    SD: 1.2137 cents
 66:71:76:82:86:88:95:99:109:114:123:129:132    SD: 1.0155 cents
 78:84:90:97:101:104:112:117:129:135:146:152:156    SD: 0.7649 cents
 90:97:104:112:117:120:129:135:149:156:168:176:180    SD: 0.5111 cents
 143:154:165:178:186:191:205:215:237:248:267:279:286    SD: 0.5050 cents
 156:168:180:194:203:208:224:234:258:270:291:304:312    SD: 0.3651 cents
 180:194:208:224:234:240:258:270:298:312:336:351:360    SD: 0.3046 cents
 234:252:270:291:304:312:336:351:388:406:437:456:468    SD: 0.2717 cents
 246:265:284:306:320:328:353:369:407:426:459:480:492    SD: 0.2586 cents
 300:323:346:373:390:400:431:450:497:520:560:585:600    SD: 0.1828 cents
 324:349:374:403:421:432:465:486:537:562:605:632:648    SD: 0.1757 cents
 390:420:450:485:507:520:560:585:646:676:728:761:780    SD: 0.1180 cents
 480:517:554:597:624:640:689:720:795:832:896:936:960    SD: 0.0000 cents