Scala analysis: oz17

80-et commas 13-limit detempering of a chain of 16 fifths

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         22/21             80.537035 undecimal minor semitone
  2:         13/12            138.572661 tridecimal 2/3-tone
  3:          9/8             203.910002 major whole tone
  4:         13/11            289.209719 tridecimal minor third
  5:         16/13            359.472338 tridecimal neutral third
  6:         14/11            417.507964 undecimal diminished fourth or major third
  7:          4/3             498.044999 perfect fourth
  8:         18/13            563.382340 tridecimal augmented fourth
  9:         13/9             636.617660 tridecimal diminished fifth
 10:          3/2             701.955001 perfect fifth
 11:         11/7             782.492036 undecimal augmented fifth
 12:         13/8             840.527662 tridecimal neutral sixth
 13:         22/13            910.790281 tridecimal major sixth
 14:         16/9             996.089998 Pythagorean minor seventh
 15:         13/7            1071.701755 16/3-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:         22/21             80.5370 undecimal minor semitone
  2:         91/88             58.0356 
  3:         27/26             65.3373 tridecimal comma
  4:        104/99             85.2997 
  5:        176/169            70.2626 
  6:         91/88             58.0356 
  7:         22/21             80.5370 undecimal minor semitone
  8:         27/26             65.3373 tridecimal comma
  9:        169/162            73.2353 
 10:         27/26             65.3373 tridecimal comma
 11:         22/21             80.5370 undecimal minor semitone
 12:         91/88             58.0356 
 13:        176/169            70.2626 
 14:        104/99             85.2997 
 15:        117/112            75.6118 
 16:        147/143            47.7612 
 17:         22/21             80.5370 undecimal minor semitone
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 147/143             47.761 cents   
  1:   3 91/88               58.036 cents   
  1:   3 27/26               65.337 cents   tridecimal comma
  1:   2 176/169             70.263 cents   
  1:   1 169/162             73.235 cents   
  1:   1 117/112             75.612 cents   
  1:   4 22/21               80.537 cents   undecimal minor semitone
  1:   2 104/99              85.300 cents   
  2:   2 189/176             123.373 cents  
  2:   3 14/13               128.298 cents  2/3-tone
  2:   5 13/12               138.573 cents  tridecimal 2/3-tone
  2:   2 99/91               145.874 cents  
  2:   1 12/11               150.637 cents  undecimal neutral second, 3/4-tone
  2:   2 128/117             155.562 cents  
  2:   1 169/154             160.911 cents  
  2:   1 484/441             161.074 cents  two (undecimal minor semitone)
  3:   5 9/8                 203.910 cents  major whole tone
  3:   2 273/242             208.673 cents  
  3:   3 44/39               208.835 cents  
  3:   2 112/99              213.598 cents  
  3:   3 143/126             219.110 cents  
  3:   1 192/169             220.900 cents  
  3:   1 8/7                 231.174 cents  septimal whole tone
  4:   1 7/6                 266.871 cents  septimal minor third
  4:   2 198/169             274.173 cents  
  4:   2 169/144             277.145 cents  two (tridecimal 2/3-tone)
  4:   3 168/143             278.935 cents  
  4:   4 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:   1 63/52               332.208 cents  
  5:   2 147/121             336.971 cents  
  5:   3 39/32               342.483 cents  39th harmonic, Zalzal wosta of Ibn Sina
  5:   2 11/9                347.408 cents  undecimal neutral third
  5:   5 16/13               359.472 cents  tridecimal neutral third
  5:   1 121/98              364.984 cents  
  5:   3 26/21               369.747 cents  
  6:   1 81/64               407.820 cents  Pythagorean major third
  6:   2 33/26               412.745 cents  tridecimal major third
  6:   5 14/11               417.508 cents  undecimal diminished fourth or major third
  6:   2 143/112             423.020 cents  
  6:   1 216/169             424.810 cents  
  6:   1 169/132             427.782 cents  
  6:   2 104/81              432.708 cents  
  6:   1 9/7                 435.084 cents  septimal major third, BP third
  6:   2 352/273             440.009 cents  
  7:   1 169/128             481.055 cents  
  7:   2 189/143             482.845 cents  
  7:   1 224/169             487.771 cents  
  7:   2 117/88              493.120 cents  tridecimal gentle fourth
  7:   2 121/91              493.282 cents  
  7:   8 4/3                 498.045 cents  perfect fourth
  7:   1 169/126             508.319 cents  
  8:   1 196/143             545.806 cents  
  8:   2 11/8                551.318 cents  undecimal semi-augmented fourth
  8:   3 91/66               556.081 cents  
  8:   5 18/13               563.382 cents  tridecimal augmented fourth
  8:   1 39/28               573.657 cents  
  8:   1 169/121             578.419 cents  two (tridecimal minor third)
  8:   4 88/63               578.582 cents  
  9:   4 63/44               621.418 cents  
  9:   1 242/169             621.581 cents  
  9:   1 56/39               626.343 cents  
  9:   5 13/9                636.618 cents  tridecimal diminished fifth
  9:   3 132/91              643.919 cents  
  9:   2 16/11               648.682 cents  undecimal semi-diminished fifth
  9:   1 143/98              654.194 cents  
 10:   1 252/169             691.681 cents  
 10:   8 3/2                 701.955 cents  perfect fifth
 10:   2 182/121             706.718 cents  
 10:   2 176/117             706.880 cents  
 10:   1 169/112             712.229 cents  
 10:   2 286/189             717.155 cents  
 10:   1 256/169             718.945 cents  two (tridecimal neutral third)
 11:   2 273/176             759.991 cents  
 11:   1 14/9                764.916 cents  septimal minor sixth
 11:   2 81/52               767.292 cents  
 11:   1 264/169             772.218 cents  
 11:   1 169/108             775.190 cents  
 11:   2 224/143             776.980 cents  
 11:   5 11/7                782.492 cents  undecimal augmented fifth
 11:   2 52/33               787.255 cents  tridecimal minor sixth
 11:   1 128/81              792.180 cents  Pythagorean minor sixth
 12:   3 21/13               830.253 cents  
 12:   1 196/121             835.016 cents  two (undecimal diminished fourth or major third)
 12:   5 13/8                840.528 cents  tridecimal neutral sixth
 12:   2 18/11               852.592 cents  undecimal neutral sixth
 12:   3 64/39               857.517 cents  39th subharmonic
 12:   2 242/147             863.029 cents  
 12:   1 104/63              867.792 cents  
 13:   2 27/16               905.865 cents  Pythagorean major sixth
 13:   3 22/13               910.790 cents  tridecimal major sixth
 13:   4 56/33               915.553 cents  
 13:   3 143/84              921.065 cents  
 13:   2 288/169             922.855 cents  
 13:   2 169/99              925.827 cents  
 13:   1 12/7                933.129 cents  septimal major sixth
 14:   1 7/4                 968.826 cents  harmonic seventh
 14:   1 169/96              979.100 cents  
 14:   3 252/143             980.890 cents  
 14:   2 99/56               986.402 cents  
 14:   3 39/22               991.165 cents  
 14:   2 484/273             991.327 cents  
 14:   5 16/9                996.090 cents  Pythagorean minor seventh
 15:   1 441/242             1038.926 cents 
 15:   1 308/169             1039.089 cents 
 15:   2 117/64              1044.438 cents 
 15:   1 11/6                1049.363 cents undecimal neutral seventh, 21/4-tone
 15:   2 182/99              1054.126 cents 
 15:   5 24/13               1061.427 cents tridecimal neutral seventh
 15:   3 13/7                1071.702 cents 16/3-tone
 15:   2 352/189             1076.627 cents 
 16:   2 99/52               1114.700 cents 
 16:   4 21/11               1119.463 cents undecimal major seventh
 16:   1 224/117             1124.388 cents 
 16:   1 324/169             1126.765 cents two (tridecimal augmented fourth)
 16:   2 169/88              1129.737 cents 
 16:   3 52/27               1134.663 cents 
 16:   3 176/91              1141.964 cents 
 16:   1 286/147             1152.239 cents 
Highest number of different intervals for one interval class: 9
Average number of different intervals per interval class: 7.50000 = 15/2
SHOW/LINE/CENTS INTERVALS
         1    2     3     4     5     6     7     8     9     10    11    12    13    14    15     16     17    
 0.0   : 80.5 138.6 203.9 289.2 359.5 417.5 498.0 563.4 636.6 702.0 782.5 840.5 910.8 996.1 1071.7 1119.5 1200.0
 80.5  : 58.0 123.4 208.7 278.9 337.0 417.5 482.8 556.1 621.4 702.0 760.0 830.3 915.6 991.2 1038.9 1119.5 1200.0
 138.6 : 65.3 150.6 220.9 278.9 359.5 424.8 498.0 563.4 643.9 702.0 772.2 857.5 933.1 980.9 1061.4 1142.0 1200.0
 203.9 : 85.3 155.6 213.6 294.1 359.5 432.7 498.0 578.6 636.6 706.9 792.2 867.8 915.6 996.1 1076.6 1134.7 1200.0
 289.2 : 70.3 128.3 208.8 274.2 347.4 412.7 493.3 551.3 621.6 706.9 782.5 830.3 910.8 991.3 1049.4 1114.7 1200.0
 359.5 : 58.0 138.6 203.9 277.1 342.5 423.0 481.1 551.3 636.6 712.2 760.0 840.5 921.1 979.1 1044.4 1129.7 1200.0
 417.5 : 80.5 145.9 219.1 284.4 365.0 423.0 493.3 578.6 654.2 702.0 782.5 863.0 921.1 986.4 1071.7 1142.0 1200.0
 498.0 : 65.3 138.6 203.9 284.4 342.5 412.7 498.0 573.7 621.4 702.0 782.5 840.5 905.9 991.2 1061.4 1119.5 1200.0
 563.4 : 73.2 138.6 219.1 277.1 347.4 432.7 508.3 556.1 636.6 717.2 775.2 840.5 925.8 996.1 1054.1 1134.7 1200.0
 636.6 : 65.3 145.9 203.9 274.2 359.5 435.1 482.8 563.4 643.9 702.0 767.3 852.6 922.9 980.9 1061.4 1126.8 1200.0
 702.0 : 80.5 138.6 208.8 294.1 369.7 417.5 498.0 578.6 636.6 702.0 787.3 857.5 915.6 996.1 1061.4 1134.7 1200.0
 782.5 : 58.0 128.3 213.6 289.2 337.0 417.5 498.0 556.1 621.4 706.7 777.0 835.0 915.6 980.9 1054.1 1119.5 1200.0
 840.5 : 70.3 155.6 231.2 278.9 359.5 440.0 498.0 563.4 648.7 718.9 777.0 857.5 922.9 996.1 1061.4 1142.0 1200.0
 910.8 : 85.3 160.9 208.7 289.2 369.7 427.8 493.1 578.4 648.7 706.7 787.3 852.6 925.8 991.2 1071.7 1129.7 1200.0
 996.1 : 75.6 123.4 203.9 284.4 342.5 407.8 493.1 563.4 621.4 702.0 767.3 840.5 905.9 986.4 1044.4 1114.7 1200.0
 1071.7: 47.8 128.3 208.8 266.9 332.2 417.5 487.8 545.8 626.3 691.7 764.9 830.3 910.8 968.8 1039.1 1124.4 1200.0
 1119.5: 80.5 161.1 219.1 284.4 369.7 440.0 498.0 578.6 643.9 717.2 782.5 863.0 921.1 991.3 1076.6 1152.2 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  47.7612   .. 85.2997 cents       1352/1323, 37.5385 cents           147/143, 47.7612 cents
  2:  123.3730  .. 161.0741 cents      85184/83349, 37.7011 cents         1701/1664, 38.0732 cents
  3:  203.9100  .. 231.1741 cents      64/63, 27.2641 cents               3969/3872, 42.8359 cents
  4:  266.8709  .. 294.1350 cents      64/63, 27.2641 cents               49/48, 35.6968 cents
  5:  332.2082  .. 369.7468 cents      1352/1323, 37.5385 cents           1701/1664, 38.0732 cents
  6:  407.8200  .. 440.0094 cents      22528/22113, 32.1894 cents         1701/1664, 38.0732 cents
  7:  481.0553  .. 508.3194 cents      64/63, 27.2641 cents               46137/45056, 41.0460 cents
  8:  545.8062  .. 578.5820 cents      3146/3087, 32.7758 cents           24696/24167, 37.4868 cents
  9:  621.4180  .. 654.1938 cents      3146/3087, 32.7758 cents           3969/3872, 42.8359 cents
 10:  691.6806  .. 718.9447 cents      64/63, 27.2641 cents               24696/24167, 37.4868 cents
 11:  759.9906  .. 792.1800 cents      22528/22113, 32.1894 cents         46137/45056, 41.0460 cents
 12:  830.2532  .. 867.7918 cents      1352/1323, 37.5385 cents           1701/1664, 38.0732 cents
 13:  905.8650  .. 933.1291 cents      64/63, 27.2641 cents               1701/1664, 38.0732 cents
 14:  968.8259  .. 996.0900 cents      64/63, 27.2641 cents               49/48, 35.6968 cents
 15:  1038.9259 .. 1076.6270 cents     85184/83349, 37.7011 cents         3969/3872, 42.8359 cents
 16:  1114.7003 .. 1152.2388 cents     1352/1323, 37.5385 cents           1701/1664, 38.0732 cents
SHOW DATA
Number of notes                     : 17
-- Interval properties --
Smallest interval                   : 147/143, 47.7612 cents, class 1
Average step (divided formal octave): 70.5882 cents
Largest one step interval           : 104/99, 85.2997 cents
Average / Smallest step             : 1.477941
Largest / Average step              : 1.208413
Largest / Smallest step             : 1.785962
Median interval of one step         : 176/169, 70.2626 cents, amount: 2
Most common interval of one step    : 22/21, 80.5370 cents, amount: 4
Least squares average step          : 70.60916 cents, oct.:  1200.35576 cents
Scale is strictly proper
Step pattern alph. order: ABCDEBACFCABEDGHA
Step pattern size order : GBCHDBGCECGBDHFAG
Scale is a Constant Structure, by a margin of 35.69681 cents
Scale diversity                     : 1.356721
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.567441
Number of different interval sizes  : 120 = 7.50000 / class
Number of one step interval sizes   : 8
Highest interval variety            : 9
Mean interval variety               : 7.50000 = 15/2
Median interval variety             : 7
Lowest interval variety             : 7
Smallest interval difference        : 10648/10647, 0.1626 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 8
Most common triad is 0.0 498.045 701.955 cents, amount: 4
Number of recognisable fifths       : 17, average 705.8824 cents
Number of appreciable fifths        : 14, average 703.3390 cents
Best fifths form a closed circle
Scale contains a complete diamond   : 1 3 9
Length of longest harmonic part     : 1 at degree 0
Length of longest subharmonic part  : 1 at degree 0
Formal octave complements present   : 15 = 88.2353%
-- Rational properties --
Prime limit                         : 13
Odd number limit                    : 441 (O: 441 U: 441)
Highest odd numerator or denominator: 21
Scale harmonicity                   : 0.008410
Average absolute harmonicity        : 0.124295
Specific harmonicity                : 0.057036
Fundamental                         : 1/72072, -16.1372 octaves, 0.0036 Hz.
Guide tone                          : 144144,  17.1372 octaves, 37711755.485 Hz.
Exponens Consonantiae               : 1.038875E+10, 33.27430 octaves
Euler's gradus suavitatis           : 72
Sum of Mann's harmonic distance     : 191.0, average 11.23529
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 16.50150, average 0.97068
Sum of Tenney's harmonic distance   : 32.81269, average 1.93016
Vogel's harmonic complexity         : 41.29412
Wille's k value                     : 58558
Wilson's harmonic complexity        : 74
Rectangular lattice diameter        : 10
Triangular lattice diameter         : 4
Lattice compactness                 : 486.67220, average 3.18086
Lattice compactness (without 2's)   : 309.48740, average 2.02279
Number of different primes          : 5
Prime exponents' range, average, count, tones@limit:
  2:  -3 .. 4         0.35294   24    1
  3:  -2 .. 2        -0.05882   13    4
  7:  -1 .. 1        -0.05882   5
 11:  -1 .. 1         0.00000   6     4
 13:  -1 .. 1         0.11765   8     8
Average exponent except 2's         : 0 / 17 = 0.00000
Average absolute exponent except 2's: 32 / 17 = 1.88235
Scale is weakly epimorphic with val: <17 25 46 58 61|
Scale is weakly epimorphic with val: <17 25 48 58 62|
Scale is weakly epimorphic with val: <17 27 46 58 62|
Scale is JI-epimorphic with val: <17 27 48 59 63| = patent
Scale is weakly epimorphic with val: <17 30 45 56 63|
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: 6.7745 c. M: 12.8782 c. 
 40:  3 2 2 3 2 2 3 2 2 2 3 2 2 3 3 1 3   P   D3   SD: 7.9409 c. M:-11.9550 c. 
 41:  3 2 2 3 2 2 3 2 3 2 3 2 2 3 3 1 3   P   D3   SD: 6.3292 c. M:-11.2251 c. 
 43:  3 2 2 3 3 2 3 2 3 2 3 2 3 3 2 2 3  SP   D3 I SD: 6.0183 c. M: 11.2366 c. 
 46:  3 2 3 3 3 2 3 3 2 3 3 2 3 3 3 2 3  SP M ME I SD: 5.0666 c. M:-10.5307 c. 
 49:  3 3 2 4 3 2 3 3 3 3 3 2 3 4 3 2 3  SP   D3   SD: 6.1278 c. M:-8.3661 c. 
 53:  4 2 3 4 3 2 4 3 3 3 4 2 3 4 3 2 4  SP      I SD: 5.6693 c. M: 10.0290 c. 
 57:  4 3 3 4 3 3 4 3 3 3 4 3 3 4 4 2 4  SP   D3   SD: 5.0991 c. M:-8.7958 c. 
 58:  4 3 3 4 3 3 4 3 4 3 4 3 3 4 4 2 4  SP   D3   SD: 4.0730 c. M: 7.7482 c. 
 70:  5 3 4 5 4 3 5 4 4 4 5 3 4 5 5 2 5  SP        SD: 3.6610 c. M:-8.2982 c. 
 72:  5 3 4 5 5 3 5 4 4 4 5 3 5 5 4 3 5  SP      I SD: 4.2164 c. M: 7.1943 c. 
 73:  5 3 4 6 4 3 5 4 5 4 5 3 4 6 4 3 5  SP      I SD: 5.0096 c. M: 7.0658 c. 
 74:  5 4 4 5 4 4 5 4 4 4 5 4 4 5 5 3 5  SP   D3   SD: 4.1561 c. M:-7.3733 c. 
 75:  5 4 4 5 4 4 5 4 5 4 5 4 4 5 5 3 5  SP   D3   SD: 3.5477 c. M: 7.4723 c. 
 77:  5 4 4 6 4 4 5 4 5 4 5 4 4 6 5 3 5  SP        SD: 3.1015 c. M: 6.8942 c. 
 83:  6 4 4 6 5 4 5 5 5 5 5 4 5 6 5 3 6  SP        SD: 3.5930 c. M:-6.4787 c. 
 84:  6 4 4 6 5 4 6 4 6 4 6 4 5 6 5 3 6  SP        SD: 3.7899 c. M: 6.2395 c. 
 86:  6 4 5 6 5 4 6 4 6 4 6 4 5 6 6 3 6  SP        SD: 3.6932 c. M:-5.3923 c. 
 87:  6 4 5 6 5 4 6 5 5 5 6 4 5 6 6 3 6  SP        SD: 2.2810 c. M:-4.1603 c. 
 104: 7 5 6 7 6 5 7 6 6 6 7 5 6 7 7 4 7  SP        SD: 1.9138 c. M:-3.7823 c. 
 123: 8 6 7 9 7 6 8 7 7 7 8 6 7 9 8 5 8  SP        SD: 2.0252 c. M:-3.4732 c. 
 130: 9 6 7 9 8 6 9 7 8 7 9 6 8 9 8 5 9  SP        SD: 1.6080 c. M: 3.0559 c. 
 147: 10 7 8 10 9 7 10 8 9 8 10 7 9 10 9 6 10  SP        SD: 1.4408 c. M: 3.4954 c. 
 149: 10 7 8 11 9 7 10 8 9 8 10 7 9 11 9 6 10  SP        SD: 1.5626 c. M: 2.9438 c. 
 159: 11 7 9 11 10 7 11 9 9 9 11 7 10 11 10 6 11  SP        SD: 2.0696 c. M:-2.7918 c. 
 161: 11 8 8 12 9 8 11 9 9 9 11 8 9 12 10 6 11  SP        SD: 1.9240 c. M: 3.0773 c. 
 164: 11 8 9 11 10 8 11 9 10 9 11 8 9 12 10 7 11  SP        SD: 1.5931 c. M: 3.8439 c. 
 166: 11 8 9 12 10 8 11 9 10 9 11 8 10 12 10 7 11  SP        SD: 1.2608 c. M: 1.9734 c. 
 190: 13 9 10 14 11 9 13 10 12 10 13 9 11 14 12 7 13  SP        SD: 1.2200 c. M:-1.9825 c. 
 207: 14 10 11 15 12 10 14 11 13 11 14 10 12 15 13 8 14  SP        SD: 0.6576 c. M: 1.0635 c. 
 224: 15 11 12 16 13 11 15 12 14 12 15 11 13 16 14 9 15  SP        SD: 0.4431 c. M: 0.8823 c. 
 460: 31 22 25 33 27 22 31 25 28 25 31 22 27 33 29 18 31  SP        SD: 0.3310 c. M: 0.5277 c. 
 477: 32 23 26 34 28 23 32 26 29 26 32 23 28 34 30 19 32  SP        SD: 0.1380 c. M: 0.2761 c. 
 701: 47 34 38 50 41 34 47 38 43 38 47 34 41 50 44 28 47  SP        SD: 0.1288 c. M:-0.2010 c. 
 1012: 68 49 55 72 59 49 68 55 62 55 68 49 59 72 64 40 68  SP        SD: 0.1253 c. M:-0.2350 c. 
 1178: 79 57 64 84 69 57 79 64 72 64 79 57 69 84 74 47 79  SP        SD: 0.1044 c. M:-0.1749 c. 
 1265: 85 61 69 90 74 61 85 69 77 69 85 61 74 90 80 50 85  SP        SD: 0.0979 c. M:-0.2350 c. 
 1282: 86 62 70 91 75 62 86 70 78 70 86 62 75 91 81 51 86  SP        SD: 0.0739 c. M:-0.1462 c. 
 1489: 100 72 81 106 87 72 100 81 91 81 100 72 87 106 94 59 100  SP        SD: 0.0645 c. M:-0.1586 c. 
 1506: 101 73 82 107 88 73 101 82 92 82 101 73 88 107 95 60 101  SP        SD: 0.0574 c. M: 0.1098 c. 
 1966: 132 95 107 140 115 95 132 107 120 107 132 95 115 140 124 78 132  SP        SD: 0.0534 c. M:-0.1192 c. 
 1983: 133 96 108 141 116 96 133 108 121 108 133 96 116 141 125 79 133  SP        SD: 0.0306 c. M:-0.0529 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: 8.8105 cents
 4 .. 8  match: 4  H SD: 9.5649 cents
 5 .. 10  match: 5  H SD: 9.4817 cents
 6 .. 12  match: 6  H SD: 6.8651 cents
 7 .. 14  match: 7  H SD: 6.2552 cents
 8 .. 16  match: 8  H SD: 5.4254 cents
 9 .. 18  match: 9  H SD: 4.9126 cents
 10 .. 20  match: 10  H SD: 6.6509 cents
 11 .. 22  match: 11  H SD: 6.1447 cents
 12 .. 24  match: 12  H SD: 5.5953 cents
 13 .. 26  match: 13  H SD: 5.5245 cents
 14 .. 28  match: 14  H SD: 4.7881 cents
 15 .. 30  match: 14    SD: 5.8030 cents
 16 .. 32  match: 15  S SD: 4.2882 cents
 17 .. 34  match: 15  S SD: 5.5975 cents
 18 .. 36  match: 16  S SD: 3.6550 cents
 19 .. 38  match: 16    SD: 5.0721 cents
 20 .. 40  match: 16    SD: 4.9821 cents
 21 .. 42  match: 17    SD: 3.5303 cents
 22 .. 44  match: 17    SD: 2.9401 cents
 26 .. 52  match: 17    SD: 2.6177 cents
 33 .. 66  match: 17    SD: 2.5210 cents
 34 .. 68  match: 17    SD: 2.3304 cents
 38 .. 76  match: 17    SD: 2.1348 cents
 39 .. 78  match: 17    SD: 1.9677 cents
 40 .. 80  match: 17    SD: 1.7400 cents
 48 .. 96  match: 17    SD: 1.4592 cents
 56 .. 112  match: 17    SD: 1.3241 cents
 62 .. 124  match: 17    SD: 1.1884 cents
 65 .. 130  match: 17    SD: 1.1798 cents
 70 .. 140  match: 17    SD: 1.0464 cents
 72 .. 144  match: 17    SD: 0.9992 cents
 81 .. 162  match: 17    SD: 0.8939 cents
 86 .. 172  match: 17    SD: 0.8790 cents
 88 .. 176  match: 17    SD: 0.7527 cents
 99 .. 198  match: 17    SD: 0.7479 cents
 104 .. 208  match: 17    SD: 0.6279 cents
 120 .. 240  match: 17    SD: 0.5310 cents
 142 .. 284  match: 17    SD: 0.5212 cents
 143 .. 286  match: 17    SD: 0.4904 cents
 144 .. 288  match: 17    SD: 0.4016 cents
 166 .. 332  match: 17    SD: 0.3761 cents
 192 .. 384  match: 17    SD: 0.3415 cents
 208 .. 416  match: 17    SD: 0.3017 cents
 216 .. 432  match: 17    SD: 0.2760 cents
 252 .. 504  match: 17    SD: 0.2731 cents
 264 .. 528  match: 17    SD: 0.2503 cents
 286 .. 572  match: 17    SD: 0.2362 cents
 296 .. 592  match: 17    SD: 0.2324 cents
 312 .. 624  match: 17    SD: 0.1751 cents
 374 .. 748  match: 17    SD: 0.1685 cents
 408 .. 816  match: 17    SD: 0.1680 cents
 418 .. 836  match: 17    SD: 0.1629 cents
 432 .. 864  match: 17    SD: 0.1607 cents
 441 .. 882  match: 17    SD: 0.1544 cents
 455 .. 910  match: 17    SD: 0.1532 cents
 480 .. 960  match: 17    SD: 0.1397 cents
 502 .. 1004  match: 17    SD: 0.1369 cents
 504 .. 1008  match: 17    SD: 0.1122 cents
 528 .. 1056  match: 17    SD: 0.1032 cents