Scala analysis: bailey

Rationalized Paul Bailey well temperament

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:      12224/10935         192.915874
  3:         32/27            294.134997 Pythagorean minor third
  4:      13696/10935         389.761664
  5:          4/3             498.044999 perfect fourth
  6:       1024/729           588.269995 Pythagorean diminished fifth
  7:      16348/10935         696.193114
  8:        128/81            792.179997 Pythagorean minor sixth
  9:      18304/10935         891.846884
 10:         16/9             996.089998 Pythagorean minor seventh
 11:       4096/2187         1086.314994 Pythagorean diminished octave
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:       2187/2048          113.6850 apotome
  1:        256/243            90.2250 limma, Pythagorean minor second
  2:        191/180           102.6909 
  3:        405/382           101.2191 
  4:        428/405            95.6267 
  5:       3645/3424          108.2833 
  6:        256/243            90.2250 limma, Pythagorean minor second
  7:       4087/3840          107.9231 
  8:       4320/4087           95.9869 
  9:        143/135            99.6669 
 10:       1215/1144          104.2431 
 11:        256/243            90.2250 limma, Pythagorean minor second
 12:       2187/2048          113.6850 apotome
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   3 256/243             90.225 cents   limma, Pythagorean minor second
  1:   1 428/405             95.627 cents   
  1:   1 4320/4087           95.987 cents   
  1:   1 143/135             99.667 cents   
  1:   1 405/382             101.219 cents  
  1:   1 191/180             102.691 cents  
  1:   1 1215/1144           104.243 cents  
  1:   1 4087/3840           107.923 cents  
  1:   1 3645/3424           108.283 cents  
  1:   1 2187/2048           113.685 cents  apotome
  2:   1 12224/10935         192.916 cents  
  2:   1 160/143             194.468 cents  
  2:   1 4576/4087           195.654 cents  
  2:   1 214/191             196.846 cents  
  2:   1 4087/3645           198.148 cents  
  2:   1 120/107             198.508 cents  
  2:   6 9/8                 203.910 cents  major whole tone
  3:   5 32/27               294.135 cents  Pythagorean minor third
  3:   1 107/90              299.537 cents  
  3:   1 4860/4087           299.897 cents  
  3:   1 143/120             303.577 cents  
  3:   1 3645/3056           305.129 cents  
  3:   1 4087/3424           306.431 cents  
  3:   1 191/160             306.601 cents  
  3:   1 10935/9152          308.153 cents  
  4:   1 13696/10935         389.762 cents  
  4:   1 5120/4087           390.122 cents  
  4:   1 4576/3645           393.802 cents  
  4:   1 240/191             395.354 cents  
  4:   1 1528/1215           396.826 cents  
  4:   1 180/143             398.378 cents  
  4:   1 4087/3240           402.058 cents  
  4:   1 135/107             402.418 cents  
  4:   4 81/64               407.820 cents  Pythagorean major third
  5:   7 4/3                 498.045 cents  perfect fourth
  5:   1 191/143             501.069 cents  
  5:   1 143/107             502.085 cents  
  5:   1 4087/3056           503.277 cents  
  5:   1 107/80              503.447 cents  
  5:   1 10935/8174          503.807 cents  
  6:   2 1024/729            588.270 cents  Pythagorean diminished fifth
  6:   1 1712/1215           593.672 cents  
  6:   1 5760/4087           594.032 cents  
  6:   1 572/405             597.712 cents  
  6:   1 270/191             599.264 cents  
  6:   1 191/135             600.736 cents  
  6:   1 405/286             602.288 cents  
  6:   1 4087/2880           605.968 cents  
  6:   1 1215/856            606.328 cents  
  6:   2 729/512             611.730 cents  Pythagorean tritone
  7:   1 16348/10935         696.193 cents  
  7:   1 160/107             696.553 cents  Milliet de Chales 1/4-comma fifth
  7:   1 6112/4087           696.723 cents  
  7:   1 214/143             697.915 cents  
  7:   1 286/191             698.931 cents  
  7:   7 3/2                 701.955 cents  perfect fifth
  8:   4 128/81              792.180 cents  Pythagorean minor sixth
  8:   1 214/135             797.582 cents  
  8:   1 6480/4087           797.942 cents  
  8:   1 143/90              801.622 cents  
  8:   1 1215/764            803.174 cents  
  8:   1 191/120             804.646 cents  
  8:   1 3645/2288           806.198 cents  
  8:   1 4087/2560           809.878 cents  
  8:   1 10935/6848          810.238 cents  
  9:   1 18304/10935         891.847 cents  
  9:   1 320/191             893.399 cents  
  9:   1 6848/4087           893.569 cents  
  9:   1 6112/3645           894.871 cents  
  9:   1 240/143             896.423 cents  
  9:   1 4087/2430           900.103 cents  
  9:   1 180/107             900.463 cents  
  9:   5 27/16               905.865 cents  Pythagorean major sixth
 10:   6 16/9                996.090 cents  Pythagorean minor seventh
 10:   1 107/60              1001.492 cents 
 10:   1 7290/4087           1001.852 cents 
 10:   1 191/107             1003.154 cents 
 10:   1 4087/2288           1004.346 cents 
 10:   1 143/80              1005.532 cents 
 10:   1 10935/6112          1007.084 cents 
 11:   1 4096/2187           1086.315 cents Pythagorean diminished octave
 11:   1 6848/3645           1091.717 cents 
 11:   1 7680/4087           1092.077 cents 
 11:   1 2288/1215           1095.757 cents 
 11:   1 360/191             1097.309 cents 
 11:   1 764/405             1098.781 cents 
 11:   1 270/143             1100.333 cents 
 11:   1 4087/2160           1104.013 cents 
 11:   1 405/214             1104.373 cents 
 11:   3 243/128             1109.775 cents Pythagorean major seventh
Highest number of different intervals for one interval class: 10
Average number of different intervals per interval class: 8.18182 = 90/11
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12    
 0.0   : 90.2  192.9 294.1 389.8 498.0 588.3 696.2 792.2 891.8 996.1  1086.3 1200.0
 90.2  : 102.7 203.9 299.5 407.8 498.0 606.0 702.0 801.6 905.9 996.1  1109.8 1200.0
 192.9 : 101.2 196.8 305.1 395.4 503.3 599.3 698.9 803.2 893.4 1007.1 1097.3 1200.0
 294.1 : 95.6  203.9 294.1 402.1 498.0 597.7 702.0 792.2 905.9 996.1  1098.8 1200.0
 389.8 : 108.3 198.5 306.4 402.4 502.1 606.3 696.6 810.2 900.5 1003.2 1104.4 1200.0
 498.0 : 90.2  198.1 294.1 393.8 498.0 588.3 702.0 792.2 894.9 996.1  1091.7 1200.0
 588.3 : 107.9 203.9 303.6 407.8 498.0 611.7 702.0 804.6 905.9 1001.5 1109.8 1200.0
 696.2 : 96.0  195.7 299.9 390.1 503.8 594.0 696.7 797.9 893.6 1001.9 1092.1 1200.0
 792.2 : 99.7  203.9 294.1 407.8 498.0 600.7 702.0 797.6 905.9 996.1  1104.0 1200.0
 891.8 : 104.2 194.5 308.2 398.4 501.1 602.3 697.9 806.2 896.4 1004.3 1100.3 1200.0
 996.1 : 90.2  203.9 294.1 396.8 498.0 593.7 702.0 792.2 900.1 996.1  1095.8 1200.0
 1086.3: 113.7 203.9 306.6 407.8 503.4 611.7 702.0 809.9 905.9 1005.5 1109.8 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  90.2250   .. 113.6850 cents      531441/524288, 23.4600 cents       256/243, 90.2250 cents
  2:  192.9159  .. 203.9100 cents      98415/97792, 10.9941 cents         25034752/23914845, 79.2309 cents
  3:  294.1350  .. 308.1531 cents      295245/292864, 14.0181 cents       256/243, 90.2250 cents
  4:  389.7617  .. 407.8200 cents      885735/876544, 18.0583 cents       125345792/119574225, 81.6085 cents
  5:  498.0450  .. 503.8069 cents      32805/32696, 5.7619 cents          256/243, 90.2250 cents
  6:  588.2700  .. 611.7300 cents      531441/524288, 23.4600 cents       8370176/7971615, 84.4631 cents
  7:  696.1931  .. 701.9550 cents      32805/32696, 5.7619 cents          8370176/7971615, 84.4631 cents
  8:  792.1800  .. 810.2383 cents      885735/876544, 18.0583 cents       256/243, 90.2250 cents
  9:  891.8469  .. 905.8650 cents      295245/292864, 14.0181 cents       125345792/119574225, 81.6085 cents
 10:  996.0900  .. 1007.0841 cents     98415/97792, 10.9941 cents         256/243, 90.2250 cents
 11:  1086.3150 .. 1109.7750 cents     531441/524288, 23.4600 cents       25034752/23914845, 79.2309 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           : 2187/2048, 113.6850 cents
Average / Smallest step             : 1.108340
Largest / Average step              : 1.136850
Largest / Smallest step             : 1.260017
Median interval of one step         : 100.44301 cents, amount: 0
Most common interval of one step    : 256/243, 90.2250 cents, amount: 3
Least squares average step          : 99.20790 cents, oct.:  1190.49474 cents
Scale is strictly proper
Step pattern alph. order: ABCDEAFGHIAJ
Step pattern size order : AFEBIAHCDGAJ
Scale is a Constant Structure, by a margin of 79.23087 cents
Scale diversity                     : 1.117627
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.859963
Rothenberg efficiency               : 0.234127   redundancy: 0.765873
Efficiency x scale size             : 2.809524
Number of different interval sizes  : 90 = 8.18182 / class
Number of one step interval sizes   : 10
Highest interval variety            : 10
Mean interval variety               : 8.18182 = 90/11
Median interval variety             : 6
Lowest interval variety             : 6
Smallest interval difference        : 20437/20435, 0.1694 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 7
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 6 different sizes of fifth
Scale has monotonic third-sizes over circle of fifths
Best fifths form a closed circle
Formal octave complements present   : 1 = 8.3333%
Limited transpositions with margin 23.4600 cents:
 2 3 5 7 9 10
Limited inverse transpositions with margin 23.4600 cents:
 1 2 4 6 8 9 11
-- Rational properties --
Prime limit                         : 191
Odd number limit                    : 10935 (O: 10935 U: 10935)
Highest odd numerator or denominator: 10935
Scale harmonicity                   : 0.012920
Fundamental                         : 1/10935, -13.4167 octaves, 0.0239 Hz.
Guide tone                          : too high to compute
Exponens Consonantiae               : 5.349788E+17, 58.89226 octaves
Euler's gradus suavitatis           : 475
Sum of Mann's harmonic distance     : 56575.0, average 4714.58333
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 29.51467, average 2.45956
Sum of Tenney's harmonic distance   : 60.96496, average 5.08041
Vogel's harmonic complexity         : 53.75000
Wille's k value                     : 5467
Wilson's harmonic complexity        : 476
Rectangular lattice diameter        : 14
Triangular lattice diameter         : 8
Lattice compactness                 : 449.13499, average 5.75814
Lattice compactness (without 2's)   : 268.18090, average 3.43822
Number of different primes          : 9
Prime exponents' range, average, count, tones@limit:
  2:   1 .. 12        5.91667   71    1
  3:  -7 .. 0        -4.66667   56    7
  5:  -1 .. 0        -0.33333   4
 11:   0 .. 1         0.08333   1
 13:   0 .. 1         0.08333   1     1
 61:   0 .. 1         0.08333   1
 67:   0 .. 1         0.08333   1     1
 107:  0 .. 1         0.08333   1     1
 191:  0 .. 1         0.08333   1     1
Average exponent except 2's         :-54 / 12 =-4.50000
Average absolute exponent except 2's: 66 / 12 = 5.50000
Scale is JI-epimorphic with val: <12 19 27 41 44 70 73 80 90|
Scale is JI-epimorphic with val: <12 19 27 41 44 71 72 80 90|
Scale is JI-epimorphic with val: <12 19 27 42 43 70 73 80 90|
Scale is JI-epimorphic with val: <12 19 27 42 43 71 72 80 90|
Scale is weakly epimorphic with val: <12 19 28 41 43 72 74 81 91|
Scale is JI-epimorphic with val: <12 19 28 41 45 70 74 81 91|
Scale is JI-epimorphic with val: <12 19 28 41 45 71 73 81 91|
Scale is JI-epimorphic with val: <12 19 28 41 45 72 72 81 91|
Scale is JI-epimorphic with val: <12 19 28 42 44 70 74 81 91|
Scale is JI-epimorphic with val: <12 19 28 42 44 71 73 81 91| = patent
Scale is JI-epimorphic with val: <12 19 28 42 44 72 72 81 91|
Scale is JI-epimorphic with val: <12 19 28 43 43 70 74 81 91|
Scale is JI-epimorphic with val: <12 19 28 43 43 71 73 81 91|
Scale is JI-epimorphic with val: <12 19 28 43 43 72 72 81 91|
Scale is JI-epimorphic with val: <12 19 29 42 45 71 74 82 92|
Scale is JI-epimorphic with val: <12 19 29 42 45 72 73 82 92|
Scale is JI-epimorphic with val: <12 19 29 43 44 71 74 82 92|
Scale is JI-epimorphic with val: <12 19 29 43 44 72 73 82 92|
FIT/MODE
 12:  1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 8.0159 c. M:-13.6850 c.  Twelve-tone Chromatic (1/11-comma)
 39:  3 3 4 3 3 3 4 3 3 3 3 4  SP   D3   SD: 8.2745 c. M:-13.5573 c. 
 40:  3 3 4 3 4 3 3 3 4 3 3 4  SP   D3   SD: 8.2259 c. M: 12.9159 c. 
 41:  3 3 4 3 4 3 4 3 3 4 3 4  SP M ME   SD: 7.3468 c. M: 17.3061 c. 
 42:  3 4 3 4 3 4 3 4 3 4 3 4  SP B ME   SD: 7.9588 c. M: 12.3307 c. 
 43:  3 4 4 3 4 3 4 3 4 4 3 4  SP M ME   SD: 6.0186 c. M:-12.8417 c.  Meantone Chromatic (1/5-comma)
 50:  4 4 4 4 5 4 4 4 4 5 3 5  SP   D3   SD: 6.2894 c. M:-11.9100 c. 
 51:  4 4 5 4 4 4 5 4 4 4 4 5  SP   D3   SD: 6.6639 c. M:-11.7474 c. 
 52:  4 4 5 4 5 3 5 4 5 4 4 5  SP   D3   SD: 6.4026 c. M: 11.3469 c. 
 53:  4 5 4 4 5 4 5 4 4 5 4 5  SP M ME   SD: 4.5869 c. M:-10.8577 c.  Schismic-12
 54:  4 5 4 5 4 4 5 5 4 5 4 5  SP   D3   SD: 6.6043 c. M: 10.4922 c. 
 55:  4 5 5 4 5 4 5 4 5 5 4 5  SP M ME   SD: 5.0577 c. M:-11.3195 c.  Meantone Chromatic (3/17-comma)
 59:  4 5 5 5 5 5 5 5 5 5 4 6  SP   D3   SD: 6.3117 c. M: 9.9094 c. 
 61:  5 5 5 5 5 5 5 5 5 6 4 6  SP   D3   SD: 5.3124 c. M:-8.1357 c. 
 62:  5 5 5 5 6 4 6 5 5 5 5 6  SP   D3   SD: 4.4842 c. M: 8.9932 c. 
 65:  5 5 6 5 6 5 6 5 5 6 5 6  SP M ME   SD: 3.6338 c. M: 8.3005 c. 
 71:  5 6 6 6 6 6 6 6 6 6 5 7  SP   D3   SD: 4.6155 c. M: 7.9042 c. 
 73:  5 7 6 6 6 6 6 6 6 7 5 7  SP   D3   SD: 4.5850 c. M: 8.0332 c. 
 74:  6 6 6 6 7 5 7 6 6 6 6 7  SP   D3   SD: 3.5907 c. M:-7.0723 c. 
 77:  6 6 7 6 7 6 7 6 6 7 6 7  SP M ME   SD: 3.3383 c. M: 5.9029 c. 
 82:  6 7 7 7 7 6 8 6 7 7 6 8  SP   D3 S SD: 3.0053 c. M:-6.2459 c. 
 89:  7 7 8 7 8 7 8 7 7 8 7 8  SP M ME   SD: 3.4607 c. M:-5.8198 c. 
 93:  7 8 8 7 9 7 8 7 8 8 7 9  SP        SD: 3.0292 c. M:-5.2784 c. 
 94:  7 8 8 8 8 7 9 7 8 8 7 9  SP   D3 S SD: 2.5877 c. M:-5.9830 c. 
 98:  7 9 8 8 9 7 9 8 8 8 8 9  SP   D3 S SD: 2.9068 c. M: 4.5107 c. 
 105: 8 9 9 8 10 7 10 8 9 9 8 10  SP        SD: 2.6451 c. M: 5.4129 c. 
 106: 8 9 9 8 10 8 9 9 9 9 8 10  SP   D3 S SD: 2.2790 c. M: 5.6271 c. 
 116: 9 10 9 10 10 9 10 10 9 10 9 11  SP   D3   SD: 2.8764 c. M: 4.4798 c. 
 117: 9 10 10 9 11 8 11 9 10 10 9 11  SP        SD: 2.2870 c. M:-4.5191 c. 
 118: 9 10 10 9 11 9 10 10 10 10 9 11  SP   D3 S SD: 2.0775 c. M: 4.6677 c. 
 119: 9 10 10 10 10 9 11 10 9 11 9 11  SP        SD: 2.8383 c. M:-4.4587 c. 
 120: 9 10 10 10 11 9 11 9 10 11 9 11  SP   T3   SD: 2.6465 c. M: 4.1350 c. 
 123: 9 11 10 10 11 9 11 10 10 11 9 12  SP        SD: 2.3551 c. M: 4.0420 c. 
 129: 10 11 11 10 12 9 12 10 11 11 10 12  SP        SD: 2.2542 c. M:-4.2806 c. 
 135: 10 12 11 11 12 10 12 11 11 12 10 13  SP        SD: 1.7252 c. M: 2.9580 c. 
 147: 11 13 12 12 13 11 13 12 12 13 11 14  SP        SD: 1.4119 c. M:-3.0025 c. 
 155: 12 13 13 12 14 12 14 12 13 14 11 15  SP        SD: 1.8932 c. M:-2.6782 c. 
 157: 12 13 13 13 14 12 14 13 13 13 12 15  SP        SD: 1.8591 c. M: 3.6891 c. 
 159: 12 14 13 13 14 12 14 13 13 14 12 15  SP        SD: 1.4121 c. M:-3.3105 c. 
 176: 13 15 15 14 16 13 16 14 15 15 13 17  SP        SD: 1.3464 c. M: 2.2241 c. 
 188: 14 16 16 15 17 14 17 15 16 16 14 18  SP        SD: 0.8992 c. M:-1.7701 c. 
 200: 15 17 17 16 18 15 18 16 17 17 15 19  SP        SD: 0.6984 c. M:-2.1531 c. 
 212: 16 18 18 17 19 16 19 17 18 18 16 20  SP        SD: 0.8025 c. M:-2.4927 c. 
 241: 18 21 20 19 22 18 22 19 20 21 18 23  SP        SD: 0.7452 c. M: 1.3799 c. 
 253: 19 22 21 20 23 19 23 20 21 22 19 24  SP        SD: 0.5957 c. M:-1.5505 c. 
 265: 20 23 22 21 24 20 24 21 22 23 20 25  SP        SD: 0.6716 c. M:-1.8011 c. 
 335: 25 29 28 27 30 25 30 27 28 29 25 32  SP        SD: 0.6383 c. M: 1.2677 c. 
 347: 26 30 29 28 31 26 31 28 29 30 26 33  SP        SD: 0.5371 c. M: 1.0922 c. 
 388: 29 33 33 31 35 29 35 31 32 34 29 37  SP        SD: 0.6002 c. M: 1.1633 c. 
 400: 30 34 34 32 36 30 36 32 33 35 30 38  SP        SD: 0.4014 c. M: 0.9159 c. 
 412: 31 35 35 33 37 31 37 33 34 36 31 39  SP        SD: 0.3054 c. M: 0.6829 c. 
 441: 33 38 37 35 40 33 40 35 37 38 33 42  SP        SD: 0.4224 c. M:-0.6701 c. 
 453: 34 39 38 36 41 34 41 36 38 39 34 43  SP        SD: 0.3514 c. M:-0.8683 c. 
 600: 45 51 51 48 54 45 54 48 50 52 45 57  SP        SD: 0.3214 c. M: 0.9159 c. 
 612: 46 52 52 49 55 46 55 49 51 53 46 58  SP        SD: 0.2706 c. M: 0.7590 c. 
 624: 47 53 53 50 56 47 56 50 52 54 47 59  SP        SD: 0.3048 c. M:-0.6230 c. 
 641: 48 55 54 51 58 48 58 51 53 56 48 61  SP        SD: 0.3521 c. M: 0.7392 c. 
 653: 49 56 55 52 59 49 59 52 54 57 49 62  SP        SD: 0.2281 c. M: 0.5758 c. 
 665: 50 57 56 53 60 50 60 53 55 58 50 63  SP        SD: 0.1644 c. M: 0.4183 c. 
 677: 51 58 57 54 61 51 61 54 56 59 51 64  SP        SD: 0.2100 c. M:-0.4095 c. 
 853: 64 73 72 68 77 64 77 68 71 74 64 81  SP        SD: 0.1516 c. M: 0.2658 c. 
 865: 65 74 73 69 78 65 78 69 72 75 65 82  SP        SD: 0.0944 c. M:-0.2231 c. 
 1530: 115 131 129 122 138 115 138 122 127 133 115 145  SP        SD: 0.0870 c. M:-0.2775 c. 
 1542: 116 132 130 123 139 116 139 123 128 134 116 146  SP        SD: 0.1029 c. M:-0.3049 c. 
 1636: 123 140 138 130 148 123 147 131 136 142 123 155  SP        SD: 0.0885 c. M: 0.2751 c. 
 1648: 124 141 139 131 149 124 148 132 137 143 124 156  SP        SD: 0.0878 c. M: 0.1986 c. 
 1718: 129 147 145 137 155 129 155 137 143 149 129 163  SP        SD: 0.1128 c. M:-0.1980 c. 
 1742: 131 149 147 139 157 131 157 139 145 151 131 165  SP        SD: 0.1063 c. M:-0.2478 c. 
 1848: 139 158 156 147 167 139 166 148 153 161 139 175  SP        SD: 0.1018 c. M: 0.2884 c. 
 1860: 140 159 157 148 168 140 167 149 154 162 140 176  SP        SD: 0.0998 c. M: 0.2340 c. 
 1877: 141 161 158 150 169 141 169 150 156 163 141 178  SP        SD: 0.0966 c. M:-0.2224 c. 
 2036: 153 174 172 162 184 153 183 163 169 177 153 193  SP        SD: 0.0923 c. M: 0.1850 c. 
 2048: 154 175 173 163 185 154 184 164 170 178 154 194  SP        SD: 0.0619 c. M: 0.1424 c. 
 2060: 155 176 174 164 186 155 185 165 171 179 155 195  SP        SD: 0.0601 c. M: 0.1003 c. 
 2301: 173 197 194 183 208 173 207 184 191 200 173 218  SP        SD: 0.0600 c. M: 0.1919 c. 
 2313: 174 198 195 184 209 174 208 185 192 201 174 219  SP        SD: 0.0580 c. M: 0.1378 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: 2.8809 cents
 3 x x x x 4 x x x 5 x x 6  S SD: 2.4961 cents
 4 x x x 5 x x 6 x x 7 x 8  S SD: 7.0197 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: 7.8139 cents
 7 x 8 x 9 x 10 x 11:12 x 13:14  S SD: 11.4135 cents
 8 x 9 x 10 x 11:12:13 x 14:15:16  S SD: 8.4927 cents
 9 x 10 x 11:12:13 x 14:15:16:17:18  S SD: 8.0571 cents
 10 x 11:12 x 13:14:15:16:17:18:19:20  S SD: 7.4103 cents
 11 x 12:13:14:15 x 16:17:18:20:21:22  S SD: 10.9506 cents
 12:13 x 14:15:16:17:18:19:20:21:22:24  S SD: 6.7537 cents
 13:14 x 15:16:17:18:19:21:22:23:24:26    SD: 9.2279 cents
 14:15:16:17:18:19:20:21:22:23:25:26:28    SD: 8.0697 cents
 15:16:17:18:19:20:21:22:24:25:27:28:30    SD: 5.2807 cents
 16:17:18:19:20:21:22:24:25:27:28:30:32    SD: 5.1566 cents
 17:18:19:20:21:23:24:25:27:28:30:32:34    SD: 4.8871 cents
 22:23:25:26:28:29:31:33:35:37:39:41:44    SD: 4.1923 cents
 24:25:27:28:30:32:34:36:38:40:43:45:48    SD: 3.4974 cents
 27:28:30:32:34:36:38:40:43:45:48:51:54    SD: 3.3899 cents
 31:33:35:37:39:41:44:46:49:52:55:58:62    SD: 3.2753 cents
 32:34:36:38:40:43:45:48:51:54:57:60:64    SD: 2.6463 cents
 33:35:37:39:41:44:46:49:52:55:59:62:66    SD: 2.5048 cents
 36:38:40:43:45:48:51:54:57:60:64:67:72    SD: 2.2855 cents
 39:41:44:46:49:52:55:58:62:65:69:73:78    SD: 2.2515 cents
 40:42:45:47:50:53:56:60:63:67:71:75:80    SD: 2.0732 cents
 49:52:55:58:61:65:69:73:77:82:87:92:98    SD: 2.0014 cents
 50:53:56:59:63:67:70:75:79:84:89:94:100    SD: 1.8956 cents
 52:55:58:62:65:69:73:78:82:87:92:97:104    SD: 1.7026 cents
 54:57:60:64:68:72:76:81:85:90:96:101:108    SD: 1.5832 cents
 55:58:61:65:69:73:77:82:87:92:98:103:110    SD: 1.5808 cents
 59:62:66:70:74:79:83:88:93:99:105:111:118    SD: 1.2003 cents
 71:75:79:84:89:95:100:106:112:119:126:133:142    SD: 1.1378 cents
 76:80:85:90:95:101:107:114:120:127:135:142:152    SD: 0.9427 cents
 91:96:102:108:114:121:128:136:144:152:162:170:182    SD: 0.8575 cents
 107:113:120:127:134:143:150:160:169:179:190:200:214    SD: 0.8406 cents
 108:114:121:128:135:144:152:161:171:181:192:202:216    SD: 0.8139 cents
 111:117:124:132:139:148:156:166:175:186:197:208:222    SD: 0.6800 cents
 119:125:133:141:149:159:167:178:188:199:212:223:238    SD: 0.6459 cents
 126:133:141:149:158:168:177:188:199:211:224:236:252    SD: 0.5715 cents
 135:142:151:160:169:180:190:202:213:226:240:253:270    SD: 0.4660 cents
 171:180:191:203:214:228:240:256:270:286:304:320:342    SD: 0.4408 cents
 186:196:208:220:233:248:261:278:294:311:331:348:372    SD: 0.4269 cents
 190:200:212:225:238:253:267:284:300:318:338:356:380    SD: 0.4111 cents
 205:216:229:243:257:273:288:306:324:343:364:384:410    SD: 0.3845 cents
 210:221:235:249:263:280:295:314:332:352:373:393:420    SD: 0.3516 cents
 222:234:248:263:278:296:312:332:351:372:395:416:444    SD: 0.2792 cents
 281:296:314:333:352:375:395:420:444:470:500:526:562    SD: 0.2609 cents
 297:313:332:352:372:396:417:444:469:497:528:556:594    SD: 0.1523 cents
 432:455:483:512:541:576:607:646:683:723:768:809:864    SD: 0.1052 cents