Scala analysis: xen18-ayers-table-13-14

Generalized Harmonic Mean scale from Table 13 and Table 14

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         20/19             88.800698 small undevicesimal semitone
  2:         10/9             182.403712 minor whole tone
  3:         20/17            281.358304 septendecimal augmented second
  4:          5/4             386.313714 major third
  5:          4/3             498.044999 perfect fourth
  6:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  7:         28/19            671.312890
  8:         14/9             764.915905 septimal minor sixth
  9:         28/17            863.870497 submajor sixth
 10:          7/4             968.825906 harmonic seventh
 11:         28/15           1080.557192 grave major seventh
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         15/14            119.4428 major diatonic semitone
  1:         20/19             88.8007 small undevicesimal semitone
  2:         19/18             93.6030 undevicesimal semitone
  3:         18/17             98.9546 Arabic lute index finger
  4:         17/16            104.9554 17th harmonic
  5:         16/15            111.7313 minor diatonic semitone
  6:         21/20             84.4672 minor semitone
  7:         20/19             88.8007 small undevicesimal semitone
  8:         19/18             93.6030 undevicesimal semitone
  9:         18/17             98.9546 Arabic lute index finger
 10:         17/16            104.9554 17th harmonic
 11:         16/15            111.7313 minor diatonic semitone
 12:         15/14            119.4428 major diatonic semitone
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 21/20               84.467 cents   minor semitone
  1:   2 20/19               88.801 cents   small undevicesimal semitone
  1:   2 19/18               93.603 cents   undevicesimal semitone
  1:   2 18/17               98.955 cents   Arabic lute index finger
  1:   2 17/16               104.955 cents  17th harmonic
  1:   2 16/15               111.731 cents  minor diatonic semitone
  1:   1 15/14               119.443 cents  major diatonic semitone
  2:   1 21/19               173.268 cents  
  2:   2 10/9                182.404 cents  minor whole tone
  2:   2 19/17               192.558 cents  quasi-meantone
  2:   1 28/25               196.198 cents  middle second
  2:   2 9/8                 203.910 cents  major whole tone
  2:   1 150/133             208.244 cents  
  2:   2 17/15               216.687 cents  septendecimal whole tone
  2:   1 8/7                 231.174 cents  septimal whole tone
  3:   1 7/6                 266.871 cents  septimal minor third
  3:   2 20/17               281.358 cents  septendecimal augmented second
  3:   1 112/95              284.999 cents  
  3:   2 19/16               297.513 cents  19th harmonic
  3:   1 119/100             301.154 cents  
  3:   1 25/21               301.847 cents  BP second, quasi-equal minor third
  3:   2 6/5                 315.641 cents  minor third
  3:   1 160/133             319.975 cents  
  3:   1 17/14               336.130 cents  supraminor third
  4:   1 21/17               365.825 cents  submajor third
  4:   1 56/45               378.602 cents  septimal narrow major third
  4:   2 5/4                 386.314 cents  major third
  4:   1 119/95              389.955 cents  
  4:   1 63/50               400.108 cents  quasi-equal major third
  4:   1 150/119             400.801 cents  
  4:   2 19/15               409.244 cents  undevicesimal ditone
  4:   1 80/63               413.578 cents  wide major third
  4:   1 170/133             424.930 cents  
  4:   1 9/7                 435.084 cents  septimal major third, BP third
  5:   1 21/16               470.781 cents  narrow fourth
  5:   1 112/85              477.557 cents  
  5:   1 119/90              483.558 cents  
  5:   1 126/95              488.909 cents  
  5:   1 133/100             493.711 cents  
  5:   2 4/3                 498.045 cents  perfect fourth
  5:   1 75/56               505.757 cents  marvelous fourth
  5:   1 160/119             512.532 cents  
  5:   1 85/63               518.533 cents  
  5:   1 180/133             523.885 cents  
  5:   1 19/14               528.687 cents  
  6:   6 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  6:   6 10/7                617.488 cents  Euler's tritone
  7:   1 28/19               671.313 cents  
  7:   1 133/90              676.115 cents  
  7:   1 126/85              681.467 cents  
  7:   1 119/80              687.468 cents  
  7:   1 112/75              694.243 cents  marvelous fifth
  7:   2 3/2                 701.955 cents  perfect fifth
  7:   1 200/133             706.289 cents  
  7:   1 95/63               711.091 cents  
  7:   1 180/119             716.442 cents  
  7:   1 85/56               722.443 cents  
  7:   1 32/21               729.219 cents  wide fifth
  8:   1 14/9                764.916 cents  septimal minor sixth
  8:   1 133/85              775.070 cents  
  8:   1 63/40               786.422 cents  narrow minor sixth
  8:   2 30/19               790.756 cents  smaller undevicesimal minor sixth
  8:   1 119/75              799.199 cents  
  8:   1 100/63              799.892 cents  quasi-equal minor sixth
  8:   1 190/119             810.045 cents  
  8:   2 8/5                 813.686 cents  minor sixth
  8:   1 45/28               821.398 cents  septimale wide minor sixth
  8:   1 34/21               834.175 cents  supraminor sixth
  9:   1 28/17               863.870 cents  submajor sixth
  9:   1 133/80              880.025 cents  
  9:   2 5/3                 884.359 cents  major sixth, BP sixth
  9:   1 42/25               898.153 cents  quasi-equal major sixth
  9:   1 200/119             898.846 cents  
  9:   2 32/19               902.487 cents  19th subharmonic
  9:   1 95/56               915.001 cents  
  9:   2 17/10               918.642 cents  septendecimal diminished seventh
  9:   1 12/7                933.129 cents  septimal major sixth
 10:   1 7/4                 968.826 cents  harmonic seventh
 10:   2 30/17               983.313 cents  septendecimal minor seventh
 10:   1 133/75              991.756 cents  
 10:   2 16/9                996.090 cents  Pythagorean minor seventh
 10:   1 25/14               1003.802 cents middle minor seventh
 10:   2 34/19               1007.442 cents quasi-mean seventh
 10:   2 9/5                 1017.596 cents just minor seventh, BP seventh
 10:   1 38/21               1026.732 cents 
 11:   1 28/15               1080.557 cents grave major seventh
 11:   2 15/8                1088.269 cents classic major seventh
 11:   2 32/17               1095.045 cents 17th subharmonic
 11:   2 17/9                1101.045 cents septendecimal major seventh
 11:   2 36/19               1106.397 cents smaller undevicesimal major seventh
 11:   2 19/10               1111.199 cents undevicesimal major seventh
 11:   1 40/21               1115.533 cents acute major seventh
Highest number of different intervals for one interval class: 11
Average number of different intervals per interval class: 8.36364 = 92/11
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12    
 0.0   : 88.8  182.4 281.4 386.3 498.0 582.5 671.3 764.9 863.9 968.8  1080.6 1200.0
 88.8  : 93.6  192.6 297.5 409.2 493.7 582.5 676.1 775.1 880.0 991.8  1111.2 1200.0
 182.4 : 99.0  203.9 315.6 400.1 488.9 582.5 681.5 786.4 898.2 1017.6 1106.4 1200.0
 281.4 : 105.0 216.7 301.2 390.0 483.6 582.5 687.5 799.2 918.6 1007.4 1101.0 1200.0
 386.3 : 111.7 196.2 285.0 378.6 477.6 582.5 694.2 813.7 902.5 996.1  1095.0 1200.0
 498.0 : 84.5  173.3 266.9 365.8 470.8 582.5 702.0 790.8 884.4 983.3  1088.3 1200.0
 582.5 : 88.8  182.4 281.4 386.3 498.0 617.5 706.3 799.9 898.8 1003.8 1115.5 1200.0
 671.3 : 93.6  192.6 297.5 409.2 528.7 617.5 711.1 810.0 915.0 1026.7 1111.2 1200.0
 764.9 : 99.0  203.9 315.6 435.1 523.9 617.5 716.4 821.4 933.1 1017.6 1106.4 1200.0
 863.9 : 105.0 216.7 336.1 424.9 518.5 617.5 722.4 834.2 918.6 1007.4 1101.0 1200.0
 968.8 : 111.7 231.2 320.0 413.6 512.5 617.5 729.2 813.7 902.5 996.1  1095.0 1200.0
 1080.6: 119.4 208.2 301.8 400.8 505.8 617.5 702.0 790.8 884.4 983.3  1088.3 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  84.4672   .. 119.4428 cents      50/49, 34.9756 cents               21/20, 84.4672 cents
  2:  173.2679  .. 231.1741 cents      152/147, 57.9062 cents             98/95, 53.8251 cents
  3:  266.8709  .. 336.1295 cents      51/49, 69.2586 cents               49/48, 35.6968 cents
  4:  365.8255  .. 435.0841 cents      51/49, 69.2586 cents               294/289, 29.6960 cents
  5:  470.7809  .. 528.6871 cents      152/147, 57.9062 cents             49/48, 35.6968 cents
  6:  582.5122  .. 617.4878 cents      50/49, 34.9756 cents               98/95, 53.8251 cents
  7:  671.3129  .. 729.2191 cents      152/147, 57.9062 cents             98/95, 53.8251 cents
  8:  764.9159  .. 834.1745 cents      51/49, 69.2586 cents               49/48, 35.6968 cents
  9:  863.8705  .. 933.1291 cents      51/49, 69.2586 cents               294/289, 29.6960 cents
 10:  968.8259  .. 1026.7321 cents     152/147, 57.9062 cents             49/48, 35.6968 cents
 11:  1080.5572 .. 1115.5328 cents     50/49, 34.9756 cents               98/95, 53.8251 cents
SHOW DATA
Number of notes                     : 12
-- Interval properties --
Smallest interval                   : 21/20, 84.4672 cents, class 1
Average step (divided formal octave): 100.0000 cents
Largest one step interval           : 15/14, 119.4428 cents
Average / Smallest step             : 1.183892
Largest / Average step              : 1.194428
Largest / Smallest step             : 1.414073
Median interval of one step         : 18/17, 98.9546 cents, amount: 2
Least squares average step          : 97.53227 cents, oct.:  1170.38725 cents
Scale is strictly proper
Step pattern alph. order: ABCDEFABCDEG
Step pattern size order : BCDEFABCDEFG
Scale is a Constant Structure, by a margin of 29.69599 cents
Scale diversity                     : 1.449983
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.488678
Rothenberg efficiency               : 0.233766   redundancy: 0.766234
Efficiency x scale size             : 2.805195
Number of different interval sizes  : 92 = 8.36364 / class
Number of one step interval sizes   : 7
Highest interval variety            : 11
Mean interval variety               : 8.36364 = 92/11
Median interval variety             : 2
Lowest interval variety             : 2
Smallest interval difference        : 2500/2499, 0.6926 cents
Most common intervals               : 7/5, 582.5122 cents & inv., amount: 6
Number of recognisable fifths       : 7, average 702.7775 cents
Number of appreciable fifths        : 5, average 703.1066 cents
Scale contains two identical disjunct hexachords 
Best fifths form a closed circle
All steps are superparticular (epimoric)
Length of longest harmonic part     : 1 at degree 0
Length of longest subharmonic part  : 7 at degree 5
Formal octave complements present   : 1 = 8.3333%
Scale is differentially coherent in interval class 1
-- Rational properties --
Prime limit                         : 19
Odd number limit                    : 133 (O: 133 U: 133)
Highest odd numerator or denominator: 19
Scale harmonicity                   : 0.010347
Average absolute harmonicity        : 0.146235
Specific harmonicity                : 0.067796
Fundamental                         : 1/58140, -15.8272 octaves, 0.0045 Hz.
Guide tone                          : 140,  7.1293 octaves, 36627.579 Hz.
Exponens Consonantiae               : 8.139600E+06, 22.95653 octaves
Euler's gradus suavitatis           : 57
Sum of Mann's harmonic distance     : 147.5, average 12.29167
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 10.96927, average 0.91411
Sum of Tenney's harmonic distance   : 22.86511, average 1.90543
Vogel's harmonic complexity         : 46.75000
Wille's k value                     : 50872
Wilson's harmonic complexity        : 59
Rectangular lattice diameter        : 7
Triangular lattice diameter         : 3
Lattice compactness                 : 201.12975, average 2.57859
Lattice compactness (without 2's)   : 133.80413, average 1.71544
Number of different primes          : 6
Prime exponents' range, average, count, tones@limit:
  2:  -2 .. 2         0.91667   19    1
  3:  -2 .. 0        -0.50000   6     1
  5:  -1 .. 1         0.16667   6     2
  7:   0 .. 1         0.50000   6     4
 17:  -1 .. 0        -0.16667   2     2
 19:  -1 .. 0        -0.16667   2     2
Average exponent except 2's         :-2 / 12 =-0.16667
Average absolute exponent except 2's: 22 / 12 = 1.83333
Scale is weakly epimorphic with val: <12 19 27 33 47 49|
Scale is weakly epimorphic with val: <12 19 27 33 49 53|
Scale is JI-epimorphic with val: <12 19 28 34 49 51| = patent
Scale is weakly epimorphic with val: <12 20 27 33 49 50|
Scale is weakly epimorphic with val: <12 20 29 35 50 51|
FIT/MODE
 12:  1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 22.3393 c. M:-36.1295 c.  Twelve-tone Chromatic (1/11-comma)
 14:  1 1 1 2 1 1 1 1 1 1 2 1   P   D3 S SD: 20.7740 c. M:-42.2577 c. 
 18:  1 2 1 2 1 2 1 1 2 1 2 2   P   D3   SD: 20.3565 c. M: 35.4926 c. 
 21:  2 1 2 2 2 1 2 1 2 2 2 2   P   D3   SD: 13.3400 c. M:-25.4850 c. 
 22:  2 1 2 2 2 2 1 2 2 2 2 2   P   D3 S SD: 12.4249 c. M:-20.2902 c. 
 25:  2 2 2 2 2 2 2 2 2 2 3 2  SP M ME   SD: 9.9953 c. M:-23.4428 c. 
 27:  2 2 2 3 2 2 2 2 2 3 2 3   P   D3   SD: 10.3701 c. M: 19.4261 c. 
 28:  2 2 3 2 3 2 2 2 2 3 2 3   P   D3 S SD: 11.9410 c. M:-18.6417 c. 
 29:  2 2 3 2 3 2 2 2 3 2 3 3   P   D3   SD: 10.8997 c. M: 20.0883 c. 
 31:  2 3 2 3 3 2 2 3 2 3 3 3   P   D3   SD: 8.2494 c. M: 13.2484 c. 
 38:  3 3 3 3 4 2 3 3 3 4 3 4   P        SD: 8.1142 c. M: 14.0911 c. 
 39:  3 3 3 4 3 3 3 3 3 3 4 4  SP        SD: 6.7986 c. M: 14.9798 c. 
 41:  3 3 4 3 4 3 3 3 4 3 4 4  SP   D3   SD: 6.1384 c. M:-14.1783 c. 
 43:  3 4 3 4 4 3 3 3 4 4 4 4  SP        SD: 6.4997 c. M:-12.9451 c. 
 46:  3 4 4 4 4 3 4 3 4 4 4 5  SP        SD: 6.5105 c. M: 10.9920 c. 
 47:  3 4 4 4 4 4 3 4 4 4 4 5  SP   D3   SD: 6.5056 c. M: 12.9386 c. 
 50:  4 4 4 4 5 3 4 4 4 4 5 5  SP        SD: 5.4731 c. M:-9.5963 c. 
 52:  4 4 4 5 5 3 4 4 4 5 5 5   P        SD: 5.2437 c. M: 10.0243 c. 
 53:  4 4 4 5 5 4 4 4 4 5 5 5  SP        SD: 4.9891 c. M: 9.6602 c. 
 58:  4 5 5 5 5 4 4 5 5 5 5 6  SP        SD: 5.2048 c. M: 9.2439 c. 
 60:  4 5 5 5 6 4 4 5 5 5 6 6  SP        SD: 5.6303 c. M: 11.3129 c. 
 61:  5 4 5 6 5 5 4 5 5 5 6 6  SP        SD: 5.3535 c. M:-9.5600 c. 
 64:  5 5 5 6 6 4 5 5 5 6 6 6  SP        SD: 4.9260 c. M:-8.2050 c. 
 68:  5 5 6 6 6 5 5 5 6 6 6 7  SP        SD: 3.0795 c. M: 6.0924 c. 
 72:  5 6 6 6 7 5 5 6 6 6 7 7  SP        SD: 2.7820 c. M: 5.4674 c. 
 90:  7 7 7 8 8 7 6 7 8 8 8 9  SP        SD: 3.5864 c. M: 4.9159 c. 
 91:  7 7 7 8 9 6 7 7 8 7 9 9  SP        SD: 3.5202 c. M:-6.4592 c. 
 93:  7 7 8 8 9 6 7 7 8 8 9 9  SP        SD: 2.3892 c. M:-5.1808 c. 
 97:  7 8 8 8 9 7 7 8 8 8 9 10  SP        SD: 2.8434 c. M: 4.2685 c. 
 99:  7 8 8 9 9 7 7 8 8 9 9 10  SP        SD: 2.3171 c. M: 4.6462 c. 
 111: 8 9 9 10 10 8 8 9 9 10 10 11  SP        SD: 1.9227 c. M:-4.1471 c. 
 118: 9 9 10 10 11 8 9 9 10 10 11 12  SP        SD: 1.9754 c. M:-3.3875 c. 
 130: 10 10 11 11 12 9 10 10 11 11 12 13  SP        SD: 2.3495 c. M:-4.7955 c. 
 132: 10 10 11 12 12 9 10 10 11 12 12 13  SP        SD: 2.0600 c. M:-4.5954 c. 
 138: 10 11 11 12 13 10 10 11 11 12 13 14  SP        SD: 2.2903 c. M: 3.7050 c. 
 140: 10 11 12 12 13 10 10 11 12 12 13 14  SP        SD: 1.6924 c. M: 3.0864 c. 
 149: 11 12 12 13 14 10 11 12 12 13 14 15  SP        SD: 1.7630 c. M: 2.8565 c. 
 150: 11 12 12 13 14 11 11 12 12 13 14 15  SP        SD: 1.5214 c. M:-3.0841 c. 
 161: 12 13 13 14 15 11 12 13 13 14 15 16  SP        SD: 1.6496 c. M:-3.9317 c. 
 162: 12 13 13 14 15 12 12 12 14 14 15 16  SP        SD: 1.8649 c. M:-2.7962 c. 
 171: 13 13 14 15 16 12 13 13 14 15 16 17  SP        SD: 1.0331 c. M:-2.4274 c. 
 193: 14 15 16 17 18 14 14 15 16 17 18 19  SP        SD: 1.2226 c. M: 2.0928 c. 
 202: 15 16 16 18 19 14 15 16 16 18 19 20  SP        SD: 1.2152 c. M: 2.4844 c. 
 204: 15 16 17 18 19 14 15 16 17 18 19 20  SP        SD: 1.1708 c. M:-1.9550 c. 
 218: 16 17 18 19 20 16 16 17 18 19 20 22  SP        SD: 1.0539 c. M: 2.6322 c. 
 229: 17 18 19 20 21 16 17 18 19 20 21 23  SP        SD: 0.8684 c. M:-1.6111 c. 
 243: 18 19 20 21 23 17 18 19 20 21 23 24  SP        SD: 0.5861 c. M: 1.1285 c. 
 270: 20 21 22 24 25 19 20 21 22 24 25 27  SP        SD: 0.6745 c. M: 1.6483 c. 
 282: 21 22 23 25 26 20 21 22 23 25 26 28  SP        SD: 0.7158 c. M:-1.3869 c. 
 311: 23 24 26 27 29 22 23 24 26 27 29 31  SP        SD: 0.4769 c. M: 1.0532 c. 
 422: 31 33 35 37 39 30 31 33 35 37 39 42  SP        SD: 0.4325 c. M:-0.8423 c. 
 472: 35 37 39 41 44 33 35 37 39 41 44 47  SP        SD: 0.3872 c. M:-0.8451 c. 
 513: 38 40 42 45 48 36 38 40 42 45 48 51  SP        SD: 0.3292 c. M: 0.7126 c. 
 515: 38 40 43 45 48 36 38 40 43 45 48 51  SP        SD: 0.4889 c. M: 0.6561 c. 
 525: 39 41 43 46 49 37 39 41 43 46 49 52  SP        SD: 0.4200 c. M:-0.7984 c. 
 540: 40 42 45 47 50 38 40 42 45 47 50 54  SP        SD: 0.4056 c. M:-0.8639 c. 
 554: 41 43 46 48 52 39 41 43 46 48 52 55  SP        SD: 0.3642 c. M: 0.7541 c. 
 581: 43 45 48 51 54 41 43 45 48 51 54 58  SP        SD: 0.3731 c. M: 0.7162 c. 
 593: 44 46 49 52 55 42 44 46 49 52 55 59  SP        SD: 0.2697 c. M:-0.5252 c. 
 665: 49 52 55 58 62 47 49 52 55 58 62 66  SP        SD: 0.2527 c. M:-0.4904 c. 
 742: 55 58 61 65 69 52 55 58 61 65 69 74  SP        SD: 0.1912 c. M:-0.3456 c. 
 836: 62 65 69 73 78 59 62 65 69 73 78 83  SP        SD: 0.2136 c. M:-0.4574 c. 
 935: 69 73 77 82 87 66 69 73 77 82 87 93  SP        SD: 0.1459 c. M: 0.2888 c. 
 1053: 78 82 87 92 98 74 78 82 87 92 98 105  SP        SD: 0.1302 c. M: 0.2435 c. 
 1296: 96 101 107 113 121 91 96 101 107 113 121 129  SP        SD: 0.1261 c. M: 0.3074 c. 
 1335: 99 104 110 117 124 94 99 104 110 117 124 133  SP        SD: 0.1121 c. M:-0.2031 c. 
 1407: 104 110 116 123 131 99 104 110 116 123 131 140  SP        SD: 0.0763 c. M:-0.1161 c. 
 1578: 117 123 130 138 147 111 117 123 130 138 147 157  SP        SD: 0.0848 c. M:-0.1727 c. 
 1718: 127 134 142 150 160 121 127 134 142 150 160 171  SP        SD: 0.0790 c. M:-0.1574 c. 
 1889: 140 147 156 165 176 133 140 147 156 165 176 188  SP        SD: 0.0783 c. M:-0.1535 c. 
 1920: 142 150 158 168 179 135 142 150 158 168 179 191  SP        SD: 0.0764 c. M: 0.1205 c. 
 1988: 147 155 164 174 185 140 147 155 164 174 185 198  SP        SD: 0.0720 c. M: 0.1272 c. 
 2231: 165 174 184 195 208 157 165 174 184 195 208 222  SP        SD: 0.0613 c. M: 0.1192 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: 15.3211 cents
 3 x x x x 4 x x x 5 x x 6  S SD: 6.8294 cents
 4 x x x 5 x x 6 x x 7 x 8  S SD: 7.6605 cents
 5 x x 6 x x 7 x 8 x 9 x 10  S SD: 15.4044 cents
 6 x x 7 x 8 x 9 x 10 x 11:12  S SD: 8.4025 cents
 7 x 8 x 9 x 10 x 11 x 12:13:14  S SD: 12.4884 cents
 8 x 9 x 10 x 11:12 x 13:14:15:16  S SD: 6.8224 cents
 9 x 10 x 11:12 x 13:14:15:16:17:18  S SD: 7.2863 cents
 10 x 11:12 x 13:14:15:16 x 18:19:20  S SD: 11.1301 cents
 11 x 12:13:14:15 x 16:17:18:19:21:22    SD: 7.9686 cents
 12 x 13:14:15:16:17:18:19:20:21:22:24  S SD: 6.9363 cents
 13:14 x 15:16:17:18:19:20:21:23:24:26    SD: 7.7843 cents
 14:15:16 x 18:19:20:21:22:23:25:26:28    SD: 9.2831 cents
 15:16:17:18:19:20:21:22:23:25:26:28:30    SD: 5.7647 cents
 16:17:18:19:20:21:22:24:25:26:28:30:32  S SD: 5.4668 cents
 17:18:19:20:21:23:24:25:26:28:30:32:34    SD: 4.3849 cents
 23:24:26:27:29:31:32:34:36:38:40:43:46    SD: 3.8381 cents
 25:26:28:29:31:33:35:37:39:41:44:47:50    SD: 3.8212 cents
 27:28:30:32:34:36:38:40:42:44:47:50:54    SD: 3.5109 cents
 28:29:31:33:35:37:39:41:44:46:49:52:56    SD: 3.4195 cents
 32:34:36:38:40:43:45:47:50:53:56:60:64    SD: 3.1960 cents
 33:35:37:39:41:44:46:49:51:54:58:62:66    SD: 2.9482 cents
 35:37:39:41:44:47:49:52:54:58:61:65:70    SD: 2.6658 cents
 36:38:40:42:45:48:50:53:56:59:63:67:72    SD: 1.9129 cents
 45:47:50:53:56:60:63:66:70:74:79:84:90    SD: 1.5632 cents
 57:60:63:67:71:76:80:84:89:94:100:106:114    SD: 1.3170 cents
 63:66:70:74:79:84:88:93:98:104:110:118:126    SD: 1.1650 cents
 72:76:80:85:90:96:101:106:112:119:126:134:144    SD: 0.9734 cents
 80:84:89:94:100:107:112:118:124:132:140:149:160    SD: 0.9226 cents
 96:101:107:113:120:128:134:141:149:158:168:179:192    SD: 0.8800 cents
 97:102:108:114:121:129:136:143:151:160:170:181:194    SD: 0.7156 cents
 108:114:120:127:135:144:151:159:168:178:189:202:216    SD: 0.5590 cents
 135:142:150:159:169:180:189:199:210:222:236:252:270    SD: 0.4000 cents
 171:180:190:201:214:228:239:252:266:282:299:319:342    SD: 0.3975 cents
 188:198:209:221:235:251:263:277:292:310:329:351:376    SD: 0.3879 cents
 192:202:213:226:240:256:269:283:299:316:336:358:384    SD: 0.3712 cents
 209:220:232:246:261:279:293:308:325:344:366:390:418    SD: 0.3685 cents
 216:227:240:254:270:288:302:318:336:356:378:403:432    SD: 0.3611 cents
 225:237:250:265:281:300:315:332:350:371:394:420:450    SD: 0.3449 cents
 232:244:258:273:290:309:325:342:361:382:406:433:464    SD: 0.2653 cents
 272:286:302:320:340:363:381:401:423:448:476:508:544    SD: 0.2652 cents
 288:303:320:339:360:384:403:424:448:474:504:538:576    SD: 0.2449 cents
 300:316:333:353:375:400:420:442:467:494:525:560:600    SD: 0.2089 cents
 340:358:378:400:425:453:476:501:529:560:595:635:680    SD: 0.1648 cents
 380:400:422:447:475:507:532:560:591:626:665:709:760    SD: 0.1456 cents
 420:442:467:494:525:560:588:619:653:692:735:784:840    SD: 0.1447 cents
 477:502:530:561:596:636:668:703:742:786:835:890:954    SD: 0.1374 cents
 532:560:591:626:665:709:745:784:828:876:931:993:1064    SD: 0.1231 cents
 549:578:610:646:686:732:769:809:854:904:961:1025:1098    SD: 0.1161 cents