Scala analysis: parapyth17trans

A JI transversal of parapyth17.scl for use in calculations. If you temper out 352/351 and 364/363 it becomes parapyth17.

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         28/27             62.960904 Archytas' 1/3-tone
  2:         14/13            128.298245 2/3-tone
  3:          9/8             203.910002 major whole tone
  4:          7/6             266.870906 septimal minor third
  5:         11/9             347.407941 undecimal neutral third
  6:         14/11            417.507964 undecimal diminished fourth or major third
  7:         21/16            470.780907 narrow fourth
  8:         11/8             551.317942 undecimal semi-augmented fourth
  9:         56/39            626.343244
 10:          3/2             701.955001 perfect fifth
 11:         14/9             764.915905 septimal minor sixth
 12:         13/8             840.527662 tridecimal neutral sixth
 13:         22/13            910.790281 tridecimal major sixth
 14:          7/4             968.825906 harmonic seventh
 15:         11/6            1049.362941 undecimal neutral seventh, 21/4-tone
 16:         21/11           1119.462965 undecimal major seventh
 17:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         22/21             80.5370 undecimal minor semitone
  1:         28/27             62.9609 Archytas' 1/3-tone
  2:         27/26             65.3373 tridecimal comma
  3:        117/112            75.6118 
  4:         28/27             62.9609 Archytas' 1/3-tone
  5:         22/21             80.5370 undecimal minor semitone
  6:        126/121            70.1000 
  7:         33/32             53.2729 undecimal comma, al-Farabi's 1/4-tone
  8:         22/21             80.5370 undecimal minor semitone
  9:        448/429            75.0253 
 10:        117/112            75.6118 
 11:         28/27             62.9609 Archytas' 1/3-tone
 12:        117/112            75.6118 
 13:        176/169            70.2626 
 14:         91/88             58.0356 
 15:         22/21             80.5370 undecimal minor semitone
 16:        126/121            70.1000 
 17:         22/21             80.5370 undecimal minor semitone
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 33/32               53.273 cents   undecimal comma, al-Farabi's 1/4-tone
  1:   1 91/88               58.036 cents   
  1:   3 28/27               62.961 cents   Archytas' 1/3-tone
  1:   1 27/26               65.337 cents   tridecimal comma
  1:   2 126/121             70.100 cents   
  1:   1 176/169             70.263 cents   
  1:   1 448/429             75.025 cents   
  1:   3 117/112             75.612 cents   
  1:   4 22/21               80.537 cents   undecimal minor semitone
  2:   1 189/176             123.373 cents  
  2:   2 14/13               128.298 cents  2/3-tone
  2:   1 121/112             133.810 cents  
  2:   4 13/12               138.573 cents  tridecimal 2/3-tone
  2:   1 243/224             140.949 cents  Archytas' 2/3-tone
  2:   2 88/81               143.498 cents  2nd undecimal neutral second
  2:   1 99/91               145.874 cents  
  2:   4 12/11               150.637 cents  undecimal neutral second, 3/4-tone
  2:   1 128/117             155.562 cents  
  3:   5 9/8                 203.910 cents  major whole tone
  3:   1 273/242             208.673 cents  
  3:   4 44/39               208.835 cents  
  3:   3 112/99              213.598 cents  
  3:   1 507/448             214.184 cents  
  3:   1 143/126             219.110 cents  
  3:   2 8/7                 231.174 cents  septimal whole tone
  4:   3 7/6                 266.871 cents  septimal minor third
  4:   3 168/143             278.935 cents  
  4:   6 33/28               284.447 cents  undecimal minor third
  4:   3 13/11               289.210 cents  tridecimal minor third
  4:   2 32/27               294.135 cents  Pythagorean minor third
  5:   2 39/32               342.483 cents  39th harmonic, Zalzal wosta of Ibn Sina
  5:   5 11/9                347.408 cents  undecimal neutral third
  5:   1 364/297             352.171 cents  
  5:   4 27/22               354.547 cents  neutral third, Zalzal wosta of al-Farabi
  5:   4 16/13               359.472 cents  tridecimal neutral third
  5:   1 26/21               369.747 cents  
  6:   1 81/64               407.820 cents  Pythagorean major third
  6:   6 14/11               417.508 cents  undecimal diminished fourth or major third
  6:   2 448/351             422.433 cents  
  6:   3 143/112             423.020 cents  
  6:   1 242/189             427.945 cents  
  6:   3 9/7                 435.084 cents  septimal major third, BP third
  6:   1 352/273             440.009 cents  
  7:   1 21/16               470.781 cents  narrow fourth
  7:   1 224/169             487.771 cents  
  7:   1 297/224             488.357 cents  
  7:   3 117/88              493.120 cents  tridecimal gentle fourth
  7:   1 121/91              493.282 cents  
  7:  10 4/3                 498.045 cents  perfect fourth
  8:   3 11/8                551.318 cents  undecimal semi-augmented fourth
  8:   1 91/66               556.081 cents  
  8:   2 112/81              561.006 cents  
  8:   4 18/13               563.382 cents  tridecimal augmented fourth
  8:   2 168/121             568.145 cents  
  8:   3 39/28               573.657 cents  
  8:   2 88/63               578.582 cents  
  9:   2 63/44               621.418 cents  
  9:   3 56/39               626.343 cents  
  9:   2 121/84              631.855 cents  
  9:   4 13/9                636.618 cents  tridecimal diminished fifth
  9:   2 81/56               638.994 cents  
  9:   1 132/91              643.919 cents  
  9:   3 16/11               648.682 cents  undecimal semi-diminished fifth
 10:  10 3/2                 701.955 cents  perfect fifth
 10:   1 182/121             706.718 cents  
 10:   3 176/117             706.880 cents  
 10:   1 448/297             711.643 cents  
 10:   1 169/112             712.229 cents  
 10:   1 32/21               729.219 cents  wide fifth
 11:   1 273/176             759.991 cents  
 11:   3 14/9                764.916 cents  septimal minor sixth
 11:   1 189/121             772.055 cents  
 11:   3 224/143             776.980 cents  
 11:   2 351/224             777.567 cents  
 11:   6 11/7                782.492 cents  undecimal augmented fifth
 11:   1 128/81              792.180 cents  Pythagorean minor sixth
 12:   1 21/13               830.253 cents  
 12:   4 13/8                840.528 cents  tridecimal neutral sixth
 12:   4 44/27               845.453 cents  neutral sixth
 12:   1 297/182             847.829 cents  
 12:   5 18/11               852.592 cents  undecimal neutral sixth
 12:   2 64/39               857.517 cents  39th subharmonic
 13:   2 27/16               905.865 cents  Pythagorean major sixth
 13:   3 22/13               910.790 cents  tridecimal major sixth
 13:   6 56/33               915.553 cents  
 13:   3 143/84              921.065 cents  
 13:   3 12/7                933.129 cents  septimal major sixth
 14:   2 7/4                 968.826 cents  harmonic seventh
 14:   1 252/143             980.890 cents  
 14:   1 896/507             985.816 cents  
 14:   3 99/56               986.402 cents  
 14:   4 39/22               991.165 cents  
 14:   1 484/273             991.327 cents  
 14:   5 16/9                996.090 cents  Pythagorean minor seventh
 15:   1 117/64              1044.438 cents 
 15:   4 11/6                1049.363 cents undecimal neutral seventh, 21/4-tone
 15:   1 182/99              1054.126 cents 
 15:   2 81/44               1056.502 cents 2nd undecimal neutral seventh
 15:   1 448/243             1059.051 cents 
 15:   4 24/13               1061.427 cents tridecimal neutral seventh
 15:   1 224/121             1066.190 cents 
 15:   2 13/7                1071.702 cents 16/3-tone
 15:   1 352/189             1076.627 cents 
 16:   4 21/11               1119.463 cents undecimal major seventh
 16:   3 224/117             1124.388 cents 
 16:   1 429/224             1124.975 cents 
 16:   1 169/88              1129.737 cents 
 16:   2 121/63              1129.900 cents 
 16:   1 52/27               1134.663 cents 
 16:   3 27/14               1137.039 cents septimal major seventh
 16:   1 176/91              1141.964 cents 
 16:   1 64/33               1146.727 cents 33rd subharmonic
Highest number of different intervals for one interval class: 9
Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
         1    2     3     4     5     6     7     8     9     10    11    12    13    14    15     16     17    
 0.0   : 63.0 128.3 203.9 266.9 347.4 417.5 470.8 551.3 626.3 702.0 764.9 840.5 910.8 968.8 1049.4 1119.5 1200.0
 63.0  : 65.3 140.9 203.9 284.4 354.5 407.8 488.4 563.4 639.0 702.0 777.6 847.8 905.9 986.4 1056.5 1137.0 1200.0
 128.3 : 75.6 138.6 219.1 289.2 342.5 423.0 498.0 573.7 636.6 712.2 782.5 840.5 921.1 991.2 1071.7 1134.7 1200.0
 203.9 : 63.0 143.5 213.6 266.9 347.4 422.4 498.0 561.0 636.6 706.9 764.9 845.5 915.6 996.1 1059.1 1124.4 1200.0
 266.9 : 80.5 150.6 203.9 284.4 359.5 435.1 498.0 573.7 643.9 702.0 782.5 852.6 933.1 996.1 1061.4 1137.0 1200.0
 347.4 : 70.1 123.4 203.9 278.9 354.5 417.5 493.1 563.4 621.4 702.0 772.1 852.6 915.6 980.9 1056.5 1119.5 1200.0
 417.5 : 53.3 133.8 208.8 284.4 347.4 423.0 493.3 551.3 631.9 702.0 782.5 845.5 910.8 986.4 1049.4 1129.9 1200.0
 470.8 : 80.5 155.6 231.2 294.1 369.7 440.0 498.0 578.6 648.7 729.2 792.2 857.5 933.1 996.1 1076.6 1146.7 1200.0
 551.3 : 75.0 150.6 213.6 289.2 359.5 417.5 498.0 568.1 648.7 711.6 777.0 852.6 915.6 996.1 1066.2 1119.5 1200.0
 626.3 : 75.6 138.6 214.2 284.4 342.5 423.0 493.1 573.7 636.6 702.0 777.6 840.5 921.1 991.2 1044.4 1125.0 1200.0
 702.0 : 63.0 138.6 208.8 266.9 347.4 417.5 498.0 561.0 626.3 702.0 764.9 845.5 915.6 968.8 1049.4 1124.4 1200.0
 764.9 : 75.6 145.9 203.9 284.4 354.5 435.1 498.0 563.4 639.0 702.0 782.5 852.6 905.9 986.4 1061.4 1137.0 1200.0
 840.5 : 70.3 128.3 208.8 278.9 359.5 422.4 487.8 563.4 626.3 706.9 777.0 830.3 910.8 985.8 1061.4 1124.4 1200.0
 910.8 : 58.0 138.6 208.7 289.2 352.2 417.5 493.1 556.1 636.6 706.7 760.0 840.5 915.6 991.2 1054.1 1129.7 1200.0
 968.8 : 80.5 150.6 231.2 294.1 359.5 435.1 498.0 578.6 648.7 702.0 782.5 857.5 933.1 996.1 1071.7 1142.0 1200.0
 1049.4: 70.1 150.6 213.6 278.9 354.5 417.5 498.0 568.1 621.4 702.0 777.0 852.6 915.6 991.2 1061.4 1119.5 1200.0
 1119.5: 80.5 143.5 208.8 284.4 347.4 427.9 498.0 551.3 631.9 706.9 782.5 845.5 921.1 991.3 1049.4 1129.9 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  53.2729   .. 80.5370 cents       64/63, 27.2641 cents               33/32, 53.2729 cents
  2:  123.3730  .. 155.5623 cents      22528/22113, 32.1894 cents         3969/3872, 42.8359 cents
  3:  203.9100  .. 231.1741 cents      64/63, 27.2641 cents               1053/1024, 48.3477 cents
  4:  266.8709  .. 294.1350 cents      64/63, 27.2641 cents               49/48, 35.6968 cents
  5:  342.4827  .. 369.7468 cents      64/63, 27.2641 cents               1053/1024, 48.3477 cents
  6:  407.8200  .. 440.0094 cents      22528/22113, 32.1894 cents         1701/1664, 38.0732 cents
  7:  470.7809  .. 498.0450 cents      64/63, 27.2641 cents               5733/5632, 30.7715 cents
  8:  551.3179  .. 578.5820 cents      64/63, 27.2641 cents               33/32, 53.2729 cents
  9:  621.4180  .. 648.6821 cents      64/63, 27.2641 cents               3969/3872, 42.8359 cents
 10:  701.9550  .. 729.2191 cents      64/63, 27.2641 cents               33/32, 53.2729 cents
 11:  759.9906  .. 792.1800 cents      22528/22113, 32.1894 cents         5733/5632, 30.7715 cents
 12:  830.2532  .. 857.5173 cents      64/63, 27.2641 cents               1701/1664, 38.0732 cents
 13:  905.8650  .. 933.1291 cents      64/63, 27.2641 cents               1053/1024, 48.3477 cents
 14:  968.8259  .. 996.0900 cents      64/63, 27.2641 cents               49/48, 35.6968 cents
 15:  1044.4377 .. 1076.6270 cents     22528/22113, 32.1894 cents         1053/1024, 48.3477 cents
 16:  1119.4630 .. 1146.7271 cents     64/63, 27.2641 cents               3969/3872, 42.8359 cents
SHOW DATA
Number of notes                     : 17
-- Interval properties --
Smallest interval                   : 33/32, 53.2729 cents, class 1
Average step (divided formal octave): 70.5882 cents
Largest one step interval           : 22/21, 80.5370 cents
Average / Smallest step             : 1.325030
Largest / Average step              : 1.140941
Largest / Smallest step             : 1.511781
Median interval of one step         : 176/169, 70.2626 cents, amount: 1
Most common interval of one step    : 22/21, 80.5370 cents, amount: 4
Least squares average step          : 69.78129 cents, oct.:  1186.28193 cents
Scale is strictly proper
Step pattern alph. order: ABCADEFDGCACHIDED
Step pattern size order : CDHCIEAIGHCHFBIEI
Scale is a Constant Structure, by a margin of 30.77153 cents
Scale diversity                     : 1.295373
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.620061
Number of different interval sizes  : 112 = 7.00000 / class
Number of one step interval sizes   : 9
Highest interval variety            : 9
Mean interval variety               : 7.00000 = 7
Median interval variety             : 5.5
Lowest interval variety             : 5
Smallest interval difference        : 10648/10647, 0.1626 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 10
Most common triad is 0.0 498.045 701.955 cents, amount: 5
Number of recognisable fifths       : 16, average 704.4238 cents
Best fifths form a closed circle
Length of longest harmonic part     : 1 at degree 0
Length of longest subharmonic part  : 2 at degree 0
Formal octave complements present   : 1 = 5.8824%
Limited inverse transpositions with margin 27.2641 cents:
 7
-- Rational properties --
Prime limit                         : 13
Odd number limit                    : 507 (O: 507 U: 507)
Highest odd numerator or denominator: 39
Scale harmonicity                   : 0.008986
Average absolute harmonicity        : 0.119759
Specific harmonicity                : 0.068896
Fundamental                         : 1/61776, -15.9148 octaves, 0.0042 Hz.
Guide tone                          : 72072,  16.1372 octaves, 18855877.742 Hz.
Exponens Consonantiae               : 4.452320E+09, 32.05191 octaves
Euler's gradus suavitatis           : 68
Sum of Mann's harmonic distance     : 227.5, average 13.38235
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 17.25007, average 1.01471
Sum of Tenney's harmonic distance   : 33.89567, average 1.99386
Vogel's harmonic complexity         : 39.11765
Wille's k value                     : 40540
Wilson's harmonic complexity        : 70
Rectangular lattice diameter        : 10
Triangular lattice diameter         : 5
Lattice compactness                 : 492.44780, average 3.21861
Lattice compactness (without 2's)   : 305.27708, average 1.99528
Number of different primes          : 5
Prime exponents' range, average, count, tones@limit:
  2:  -4 .. 3        -0.47059   28    1
  3:  -3 .. 2        -0.29412   15    2
  7:   0 .. 1         0.52941   9     5
 11:  -1 .. 1         0.11765   6     5
 13:  -1 .. 1        -0.11765   4     4
Average exponent except 2's         : 4 / 17 = 0.23529
Average absolute exponent except 2's: 34 / 17 = 2.00000
Scale is JI-epimorphic with val: <17 27 48 59 63| = patent
Scale is weakly epimorphic with val: <17 28 46 60 61|
FIT/MODE
 17:  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 11.3761 c. M:-23.3367 c. 
 26:  1 2 1 2 2 1 1 2 2 1 2 1 2 1 2 1 2   P   D3 S SD: 12.9215 c. M:-21.8228 c. 
 28:  1 2 2 1 2 2 1 2 2 1 2 2 1 2 1 2 2   P M ME S SD: 12.1260 c. M: 20.7915 c. 
 30:  2 1 2 2 2 2 1 2 2 2 1 2 2 1 2 2 2   P   D3   SD: 11.2692 c. M:-22.4920 c. 
 31:  2 1 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2   P   D3 S SD: 8.8262 c. M:-18.2420 c. 
 32:  2 1 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2   P M ME S SD: 11.1027 c. M:-16.7191 c. 
 33:  2 2 2 1 3 2 1 2 2 2 2 2 2 2 2 2 2   P   D3   SD: 10.4868 c. M:-18.8557 c. 
 36:  2 2 2 2 2 3 1 3 2 2 2 2 2 2 2 3 2   P   D3   SD: 9.1825 c. M: 16.0296 c. 
 37:  2 2 2 2 3 2 2 2 2 3 2 2 2 2 2 3 2  SP M ME S SD: 8.8317 c. M:-15.7056 c. 
 41:  2 2 3 2 3 2 2 3 2 3 2 3 2 2 3 2 3  SP M ME S SD: 5.8171 c. M: 11.7091 c. 
 46:  2 3 3 2 3 3 2 3 3 3 2 3 3 2 3 3 3  SP M ME S SD: 5.0247 c. M: 10.7870 c. 
 53:  3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4  SP M ME S SD: 6.1863 c. M: 10.0290 c. 
 54:  3 3 3 3 4 3 2 4 3 4 2 4 3 3 3 3 4  SP   D3   SD: 5.7182 c. M: 9.3603 c. 
 57:  3 3 4 3 4 3 2 4 4 3 3 4 3 3 4 3 4  SP        SD: 5.2949 c. M:-10.4868 c. 
 58:  3 3 4 3 4 3 3 4 3 4 3 4 3 3 4 3 4  SP M ME S SD: 4.1255 c. M:-7.7482 c. 
 63:  3 4 4 3 4 4 3 4 4 4 3 4 4 3 4 4 4  SP M ME S SD: 3.5396 c. M: 5.8180 c. 
 77:  4 4 5 4 5 5 3 5 5 5 4 5 4 4 5 5 5  SP   T3   SD: 3.3908 c. M: 6.8942 c. 
 90:  5 5 5 5 6 5 4 6 6 6 4 6 5 5 6 5 6  SP        SD: 3.5237 c. M:-5.0351 c. 
 94:  5 5 6 5 6 6 4 6 6 6 5 6 5 5 6 6 6  SP   T3   SD: 2.1933 c. M: 4.4073 c. 
 113: 6 6 7 6 8 6 5 8 7 7 6 7 7 5 8 6 8  SP        SD: 2.1808 c. M: 4.4187 c. 
 129: 7 7 8 7 8 8 6 8 8 8 7 8 8 6 9 7 9  SP        SD: 2.5167 c. M: 4.2806 c. 
 130: 7 7 8 7 9 7 6 9 8 8 7 8 8 6 9 7 9  SP        SD: 1.8085 c. M:-3.3613 c. 
 161: 8 9 10 9 11 9 7 11 10 10 9 10 9 8 11 9 11  SP        SD: 1.7509 c. M: 3.3336 c. 
 166: 9 9 10 9 11 10 7 11 11 10 9 10 10 8 11 10 11  SP        SD: 1.4032 c. M:-2.5724 c. 
 176: 9 10 11 9 12 10 8 12 11 11 9 11 11 8 12 10 12  SP        SD: 1.2332 c. M:-2.8461 c. 
 196: 10 11 12 11 13 11 9 13 12 13 10 12 12 9 13 12 13  SP        SD: 1.5252 c. M:-2.5168 c. 
 198: 10 11 13 10 13 12 9 13 12 13 10 13 11 10 13 12 13  SP        SD: 1.4880 c. M: 2.3548 c. 
 207: 11 11 13 11 14 12 9 14 13 13 11 13 12 10 14 12 14  SP        SD: 0.5964 c. M: 1.2157 c. 
 224: 12 12 14 12 15 13 10 15 14 14 12 14 13 11 15 13 15  SP        SD: 0.6550 c. M:-1.3248 c. 
 270: 14 15 17 14 18 16 12 18 17 17 14 17 16 13 18 16 18  SP        SD: 0.4401 c. M: 0.7413 c. 
 431: 23 23 27 23 29 25 19 29 27 27 23 27 25 21 29 25 29  SP        SD: 0.4410 c. M:-1.0762 c. 
 477: 25 26 30 25 32 28 21 32 30 30 25 30 28 23 32 28 32  SP        SD: 0.1988 c. M: 0.3745 c. 
 701: 37 38 44 37 47 41 31 47 44 44 37 44 41 34 47 41 47  SP        SD: 0.1570 c. M:-0.3772 c. 
 805: 42 44 51 42 54 47 36 54 50 51 42 51 47 39 54 47 54  SP        SD: 0.1851 c. M: 0.3522 c. 
 971: 51 53 61 51 65 57 43 65 61 61 51 61 57 47 65 57 65  SP        SD: 0.1316 c. M:-0.2290 c. 
 1012: 53 55 64 53 68 59 45 68 63 64 53 64 59 49 68 59 68  SP        SD: 0.1166 c. M: 0.2563 c. 
 1178: 62 64 74 62 79 69 52 79 74 74 62 74 69 57 79 69 79  SP        SD: 0.1221 c. M: 0.2144 c. 
 1282: 67 70 81 67 86 75 57 86 80 81 67 81 75 62 86 75 86  SP        SD: 0.1029 c. M: 0.2464 c. 
 1448: 76 79 91 76 97 85 64 97 91 91 76 91 85 70 97 85 97  SP        SD: 0.1250 c. M: 0.2130 c. 
 1489: 78 81 94 78 100 87 66 100 93 94 78 94 87 72 100 87 100  SP        SD: 0.0932 c. M: 0.1586 c. 
 1506: 79 82 95 79 101 88 67 101 94 95 79 95 88 73 101 88 101  SP        SD: 0.0625 c. M:-0.1354 c. 
 1713: 90 93 108 90 115 100 76 115 107 108 90 108 100 83 115 100 115  SP        SD: 0.0586 c. M: 0.1073 c. 
 1983: 104 108 125 104 133 116 88 133 124 125 104 125 116 96 133 116 133  SP        SD: 0.0304 c. M: 0.0554 c. 
FIT/HARMONIC
 1 .. 2  match: 1  H SD: 0.0000 cents
 2 .. 4  match: 2  H SD: 0.0000 cents
 3 .. 6  match: 3  H SD: 12.6577 cents
 4 .. 8  match: 4  H SD: 7.7986 cents
 5 .. 10  match: 5  H SD: 12.1849 cents
 6 .. 12  match: 6  H SD: 6.3289 cents
 7 .. 14  match: 7  H SD: 7.0532 cents
 8 .. 16  match: 8  H SD: 5.5144 cents
 9 .. 18  match: 9  H SD: 6.1790 cents
 10 .. 20  match: 10  H SD: 7.3916 cents
 11 .. 22  match: 11  H SD: 4.7192 cents
 12 .. 24  match: 12  H SD: 5.3042 cents
 13 .. 26  match: 13  H SD: 4.0493 cents
 14 .. 28  match: 14  H SD: 5.0738 cents
 15 .. 30  match: 14  S SD: 6.5244 cents
 16 .. 32  match: 15    SD: 3.9943 cents
 17 .. 34  match: 14  S SD: 5.6559 cents
 18 .. 36  match: 16  S SD: 4.2399 cents
 19 .. 38  match: 16    SD: 4.3023 cents
 20 .. 40  match: 16    SD: 5.2510 cents
 21 .. 42  match: 17    SD: 4.9417 cents
 22 .. 44  match: 17    SD: 3.4315 cents
 23 .. 46  match: 17    SD: 3.0164 cents
 25 .. 50  match: 17    SD: 3.0043 cents
 26 .. 52  match: 17    SD: 2.8348 cents
 29 .. 58  match: 17    SD: 2.6769 cents
 30 .. 60  match: 17    SD: 2.5054 cents
 32 .. 64  match: 17    SD: 2.0613 cents
 41 .. 82  match: 17    SD: 2.0525 cents
 48 .. 96  match: 17    SD: 1.1799 cents
 64 .. 128  match: 17    SD: 1.1669 cents
 72 .. 144  match: 17    SD: 1.1388 cents
 74 .. 148  match: 17    SD: 1.1387 cents
 77 .. 154  match: 17    SD: 0.9026 cents
 78 .. 156  match: 17    SD: 0.8756 cents
 80 .. 160  match: 17    SD: 0.7553 cents
 103 .. 206  match: 17    SD: 0.6745 cents
 112 .. 224  match: 17    SD: 0.6537 cents
 120 .. 240  match: 17    SD: 0.6525 cents
 126 .. 252  match: 17    SD: 0.6332 cents
 128 .. 256  match: 17    SD: 0.5329 cents
 131 .. 262  match: 17    SD: 0.5087 cents
 144 .. 288  match: 17    SD: 0.3285 cents
 192 .. 384  match: 17    SD: 0.3199 cents
 208 .. 416  match: 17    SD: 0.3145 cents
 216 .. 432  match: 17    SD: 0.2980 cents
 234 .. 468  match: 17    SD: 0.2540 cents
 264 .. 528  match: 17    SD: 0.2482 cents
 272 .. 544  match: 17    SD: 0.2451 cents
 275 .. 550  match: 17    SD: 0.2424 cents
 288 .. 576  match: 17    SD: 0.2278 cents
 328 .. 656  match: 17    SD: 0.2182 cents
 342 .. 684  match: 17    SD: 0.2000 cents
 352 .. 704  match: 17    SD: 0.1738 cents
 378 .. 756  match: 17    SD: 0.1481 cents
 400 .. 800  match: 17    SD: 0.1456 cents
 432 .. 864  match: 17    SD: 0.0865 cents