Scala analysis: secor_WT2-11R

Secor 2/11-comma well-temperament, Gene Ward Smith rational version

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:       6264/5929           95.154499
  2:      33232/29645         197.741189
  3:     105592/88935         297.212799
  4:       5322/4235          395.527849
  5:      39597/29645         501.122801
  6:       8352/5929          593.199498
  7:      31706/21175         698.872692
  8:       9396/5929          797.109500
  9:       9952/5929          896.637226
 10:      52796/29645         999.167800
 11:      55782/29645        1094.413038
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:      29645/27891         105.5870 
  1:       6264/5929           95.1545 
  2:       4154/3915          102.5867 
  3:        197/186            99.4716 
  4:      55881/52796          98.3150 
  5:      13199/12418         105.5950 
  6:      13920/13199          92.0767 
  7:     110971/104400        105.6732 
  8:     117450/110971         98.2368 
  9:       2488/2349           99.5277 
 10:      13199/12440         102.5306 
 11:      27891/26398          95.2452 
 12:      29645/27891         105.5870 
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 13920/13199         92.077 cents   
  1:   1 6264/5929           95.154 cents   
  1:   1 27891/26398         95.245 cents   
  1:   1 117450/110971       98.237 cents   
  1:   1 55881/52796         98.315 cents   
  1:   1 197/186             99.472 cents   
  1:   1 2488/2349           99.528 cents   
  1:   1 13199/12440         102.531 cents  
  1:   1 4154/3915           102.587 cents  
  1:   1 29645/27891         105.587 cents  
  1:   1 13199/12418         105.595 cents  
  1:   1 110971/104400       105.673 cents  
  2:   1 6960/6209           197.672 cents  
  2:   1 33232/29645         197.741 cents  
  2:   1 221942/197985       197.750 cents  
  2:   1 124400/110971       197.765 cents  
  2:   1 27891/24880         197.776 cents  
  2:   1 18627/16616         197.787 cents  
  2:   1 1160/1033           200.741 cents  
  2:   1 29645/26398         200.832 cents  
  2:   2 13199/11745         202.058 cents  
  2:   2 9/8                 203.910 cents  major whole tone
  3:   3 15660/13199         295.987 cents  
  3:   1 105592/88935        297.213 cents  
  3:   1 1033/870            297.304 cents  
  3:   1 131990/110971       300.295 cents  
  3:   1 6209/5220           300.373 cents  
  3:   1 33232/27891         303.328 cents  
  3:   1 15853/13305         303.345 cents  
  3:   1 5929/4976           303.363 cents  
  3:   1 591/496             303.382 cents  
  3:   1 311/261             303.438 cents  
  4:   1 2610/2077           395.458 cents  
  4:   1 49760/39597         395.514 cents  
  4:   1 5322/4235           395.528 cents  
  4:   1 139455/110971       395.540 cents  
  4:   1 783/622             398.517 cents  
  4:   1 248/197             398.573 cents  
  4:   1 7830/6209           401.582 cents  
  4:   1 332913/263980       401.660 cents  
  4:   1 105592/83673        402.800 cents  
  4:   1 5929/4698           402.891 cents  
  4:   2 13199/10440         405.968 cents  
  5:   4 4/3                 498.045 cents  perfect fourth
  5:   1 35235/26398         499.897 cents  
  5:   1 2077/1555           501.104 cents  
  5:   1 24880/18627         501.109 cents  
  5:   1 12418/9297          501.115 cents  
  5:   1 39597/29645         501.123 cents  
  5:   1 21175/15853         501.127 cents  
  5:   1 110971/83080        501.132 cents  
  5:   1 3099/2320           501.214 cents  
  6:   1 8352/5929           593.199 cents  
  6:   1 18594/13199         593.290 cents  
  6:   1 156600/110971       596.282 cents  
  6:   1 18627/13199         596.360 cents  
  6:   1 11745/8308          599.368 cents  
  6:   1 18660/13199         599.424 cents  
  6:   1 13199/9330          600.576 cents  
  6:   1 16616/11745         600.632 cents  
  6:   1 26398/18627         603.640 cents  
  6:   1 110971/78300        603.718 cents  
  6:   1 13199/9297          606.710 cents  
  6:   1 5929/4176           606.801 cents  
  7:   1 4640/3099           698.786 cents  
  7:   1 166160/110971       698.868 cents  
  7:   1 31706/21175         698.873 cents  
  7:   1 59290/39597         698.877 cents  
  7:   1 9297/6209           698.885 cents  
  7:   1 18627/12440         698.891 cents  
  7:   1 3110/2077           698.896 cents  
  7:   1 52796/35235         700.103 cents  
  7:   4 3/2                 701.955 cents  perfect fifth
  8:   2 20880/13199         794.032 cents  
  8:   1 9396/5929           797.109 cents  
  8:   1 83673/52796         797.200 cents  
  8:   1 527960/332913       798.340 cents  
  8:   1 6209/3915           798.418 cents  
  8:   1 197/124             801.427 cents  
  8:   1 1244/783            801.483 cents  
  8:   1 221942/139455       804.460 cents  
  8:   1 4235/2661           804.472 cents  
  8:   1 39597/24880         804.486 cents  
  8:   1 2077/1305           804.542 cents  
  9:   1 522/311             896.562 cents  
  9:   1 992/591             896.618 cents  
  9:   1 9952/5929           896.637 cents  
  9:   1 26610/15853         896.655 cents  
  9:   1 27891/16616         896.672 cents  
  9:   1 10440/6209          899.627 cents  
  9:   1 110971/65995        899.705 cents  
  9:   1 1740/1033           902.696 cents  
  9:   1 88935/52796         902.787 cents  
  9:   3 13199/7830          904.013 cents  
 10:   2 16/9                996.090 cents  Pythagorean minor seventh
 10:   2 23490/13199         997.942 cents  
 10:   1 52796/29645         999.168 cents  
 10:   1 1033/580            999.259 cents  
 10:   1 33232/18627         1002.213 cents 
 10:   1 49760/27891         1002.224 cents 
 10:   1 110971/62200        1002.235 cents 
 10:   1 197985/110971       1002.250 cents 
 10:   1 29645/16616         1002.259 cents 
 10:   1 6209/3480           1002.328 cents 
 11:   1 208800/110971       1094.327 cents 
 11:   1 24836/13199         1094.405 cents 
 11:   1 55782/29645         1094.413 cents 
 11:   1 3915/2077           1097.413 cents 
 11:   1 24880/13199         1097.469 cents 
 11:   1 2349/1244           1100.472 cents 
 11:   1 372/197             1100.528 cents 
 11:   1 105592/55881        1101.685 cents 
 11:   1 110971/58725        1101.763 cents 
 11:   1 52796/27891         1104.755 cents 
 11:   1 5929/3132           1104.846 cents 
 11:   1 13199/6960          1107.923 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   : 95.2  197.7 297.2 395.5 501.1 593.2 698.9 797.1 896.6 999.2  1094.4 1200.0
 95.2  : 102.6 202.1 300.4 406.0 498.0 603.7 702.0 801.5 904.0 999.3  1104.8 1200.0
 197.7 : 99.5  197.8 303.4 395.5 501.1 599.4 698.9 801.4 896.7 1002.3 1097.4 1200.0
 297.2 : 98.3  203.9 296.0 401.7 499.9 599.4 702.0 797.2 902.8 997.9  1100.5 1200.0
 395.5 : 105.6 197.7 303.3 401.6 501.1 603.6 698.9 804.5 899.6 1002.2 1101.7 1200.0
 501.1 : 92.1  197.7 296.0 395.5 498.0 593.3 698.9 794.0 896.6 996.1  1094.4 1200.0
 593.2 : 105.7 203.9 303.4 406.0 501.2 606.8 702.0 804.5 904.0 1002.3 1107.9 1200.0
 698.9 : 98.2  197.8 300.3 395.5 501.1 596.3 698.9 798.3 896.7 1002.3 1094.3 1200.0
 797.1 : 99.5  202.1 297.3 402.9 498.0 600.6 700.1 798.4 904.0 996.1  1101.8 1200.0
 896.6 : 102.5 197.8 303.4 398.5 501.1 600.6 698.9 804.5 896.6 1002.2 1100.5 1200.0
 999.2 : 95.2  200.8 296.0 398.6 498.0 596.4 702.0 794.0 899.7 997.9  1097.5 1200.0
 1094.4: 105.6 200.7 303.3 402.8 501.1 606.7 698.8 804.5 902.7 1002.2 1104.8 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  92.0767   .. 105.6732 cents      1464706229/1453248000, 13.5965 cen 13920/13199, 92.0767 cents
  2:  197.6716  .. 203.9100 cents      18627/18560, 6.2384 cents          726624000/689018939, 91.9985 cents
  3:  295.9867  .. 303.4377 cents      4104889/4087260, 7.4510 cents      13920/13199, 92.0767 cents
  4:  395.4583  .. 405.9683 cents      27414323/27248400, 10.5100 cents   681210/645947, 92.0206 cents
  5:  498.0450  .. 501.2135 cents      9297/9280, 3.1685 cents            13920/13199, 92.0767 cents
  6:  593.1995  .. 606.8005 cents      35153041/34877952, 13.6010 cents   6458880/6124657, 91.9860 cents
  7:  698.7865  .. 701.9550 cents      9297/9280, 3.1685 cents            6458880/6124657, 91.9860 cents
  8:  794.0317  .. 804.5417 cents      27414323/27248400, 10.5100 cents   13920/13199, 92.0767 cents
  9:  896.5623  .. 904.0133 cents      4104889/4087260, 7.4510 cents      681210/645947, 92.0206 cents
 10:  996.0900  .. 1002.3284 cents     18627/18560, 6.2384 cents          13920/13199, 92.0767 cents
 11:  1094.3268 .. 1107.9233 cents     1464706229/1453248000, 13.5965 cen 726624000/689018939, 91.9985 cents
SHOW DATA
Number of notes                     : 12
-- Interval properties --
Smallest interval                   : 13920/13199, 92.0767 cents, class 1
Average step (divided formal octave): 100.0000 cents
Largest one step interval           : 110971/104400, 105.6732 cents
Average / Smallest step             : 1.086051
Largest / Average step              : 1.056732
Largest / Smallest step             : 1.147665
Median interval of one step         : 99.49967 cents, amount: 0
Least squares average step          : 99.68944 cents, oct.:  1196.27333 cents
Scale is strictly proper
Step pattern alph. order: ABCDEFGHIJKL
Step pattern size order : BIFEKALDGHCJ
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 91.98596 cents
Scale diversity                     : 1.065795
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.920392
Rothenberg efficiency               : 0.187205   redundancy: 0.812795
Efficiency x scale size             : 2.246465
Number of different interval sizes  : 116 = 10.54545 / class
Number of one step interval sizes   : 12
Highest interval variety            : 12
Mean interval variety               : 10.54545 = 116/11
Median interval variety             : 9
Lowest interval variety             : 9
Smallest interval difference        : 251317609/251317000, 0.0042 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 4
Most common triad is 0.0 498.045 701.955 cents, amount: 2
Number of recognisable fifths       : 12, average 700.0000 cents
Scale is a well-temperament. It has 9 different sizes of fifth
Best fifths form a closed circle
Formal octave complements present   : 1 = 8.3333%
Limited transpositions with margin 13.6010 cents:
 1 2 3 4 5 6 7 8 9 10 11
Limited inverse transpositions      :
 11
Inversional symmetry on intervals   :
 5-6 11-12
-- Rational properties --
Prime limit                         : 1033
Odd number limit                    : 332913 (O: 332913 U: 332913)
Highest odd numerator or denominator: 88935
Scale harmonicity                   : 0.007035
Fundamental                         : 1/444675, -18.7624 octaves, 0.0006 Hz.
Guide tone                          : too high to compute
Exponens Consonantiae               : 6.178374E+28, 95.64121 octaves
Euler's gradus suavitatis           : 2876
Sum of Mann's harmonic distance     : 307317.5, average 25609.79167
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 46.00719, average 3.83393
Sum of Tenney's harmonic distance   : 93.71117, average 7.80926
Vogel's harmonic complexity         : 309.58333
Wille's k value                     : 296977
Wilson's harmonic complexity        : 2890
Rectangular lattice diameter        : 20
Triangular lattice diameter         : 7
Lattice compactness                 : 277.29854, average 3.55511
Lattice compactness (without 2's)   : 203.56828, average 2.60985
Number of different primes          : 14
Prime exponents' range, average, count, tones@limit:
  2:   0 .. 5         2.33333   28    1
  3:  -1 .. 4         1.08333   15
  5:  -2 .. 0        -0.66667   8
  7:  -2 .. 0        -1.66667   20
 11:  -2 .. 0        -1.83333   22
 29:   0 .. 1         0.25000   3     3
 31:   0 .. 1         0.08333   1
 67:   0 .. 1         0.33333   4     1
 83:   0 .. 1         0.08333   1
 191:  0 .. 1         0.08333   1     1
 197:  0 .. 1         0.25000   3     3
 311:  0 .. 1         0.08333   1     1
 887:  0 .. 1         0.08333   1     1
 1033:  0 .. 1        0.08333   1     1
Average exponent except 2's         :-21 / 12 =-1.75000
Average absolute exponent except 2's: 81 / 12 = 6.75000
Scale is JI-epimorphic with val: <12 19 27 33 42 58 59 72 76 90 91 99 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 42 59 59 73 76 91 91 100 118 121|
Scale is weakly epimorphic with val: <12 19 27 33 42 59 59 73 77 90 91 100 118 121|
Scale is weakly epimorphic with val: <12 19 27 33 42 59 59 73 78 91 91 98 118 121|
Scale is weakly epimorphic with val: <12 19 27 33 42 59 60 72 76 91 92 100 118 121|
Scale is weakly epimorphic with val: <12 19 27 33 42 59 60 72 77 90 92 100 118 121|
Scale is weakly epimorphic with val: <12 19 27 33 42 59 60 72 77 92 92 98 118 121|
Scale is weakly epimorphic with val: <12 19 27 33 42 59 60 72 78 91 92 98 118 121|
Scale is weakly epimorphic with val: <12 19 27 33 43 57 58 74 76 92 92 100 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 43 57 58 74 77 91 92 100 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 43 57 58 74 77 92 92 99 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 43 57 58 74 78 90 92 100 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 43 57 58 74 78 91 92 99 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 43 58 58 74 77 91 91 100 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 43 58 58 74 78 90 91 100 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 43 58 58 74 78 91 91 99 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 43 58 59 73 76 92 92 100 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 43 58 59 73 77 91 92 100 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 43 58 59 73 77 92 92 99 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 43 58 59 73 78 90 92 100 117 119|
Scale is weakly epimorphic with val: <12 19 27 33 43 58 59 73 78 91 92 99 117 119|
Scale is weakly epimorphic with val: <12 19 27 34 41 59 59 73 76 90 91 100 117 121|
Scale is weakly epimorphic with val: <12 19 27 34 41 59 59 73 77 91 91 98 117 121|
Scale is weakly epimorphic with val: <12 19 27 34 41 59 59 73 78 90 91 98 117 121|
Scale is weakly epimorphic with val: <12 19 27 34 41 59 60 72 76 90 92 100 117 121|
Scale is weakly epimorphic with val: <12 19 27 34 41 59 60 72 76 92 92 98 117 121|
Scale is weakly epimorphic with val: <12 19 27 34 41 59 60 72 77 91 92 98 117 121|
Scale is weakly epimorphic with val: <12 19 27 34 41 59 60 72 78 90 92 98 117 121|
Scale is weakly epimorphic with val: <12 19 27 34 43 58 59 72 78 91 91 99 119 120|
Scale is weakly epimorphic with val: <12 19 27 35 41 57 59 73 76 90 91 100 119 121|
Scale is weakly epimorphic with val: <12 19 27 35 41 57 59 73 76 91 91 99 119 121|
Scale is weakly epimorphic with val: <12 19 27 35 41 57 59 73 77 90 91 99 119 121|
Scale is weakly epimorphic with val: <12 19 27 35 41 57 60 72 76 90 92 100 119 121|
Scale is weakly epimorphic with val: <12 19 27 35 41 57 60 72 76 91 92 99 119 121|
Scale is weakly epimorphic with val: <12 19 27 35 41 57 60 72 77 90 92 99 119 121|
Scale is weakly epimorphic with val: <12 19 27 35 42 58 59 72 77 91 91 99 118 120|
Scale is weakly epimorphic with val: <12 19 27 35 42 58 59 72 78 90 91 99 118 120|
Scale is weakly epimorphic with val: <12 19 27 35 42 58 59 72 78 91 91 99 118 119|
Scale is weakly epimorphic with val: <12 19 28 33 41 57 59 72 76 91 91 98 117 120|
Scale is weakly epimorphic with val: <12 19 28 33 41 57 59 72 77 90 91 98 117 120|
Scale is JI-epimorphic with val: <12 19 28 33 42 58 59 73 77 91 91 99 118 120|
Scale is JI-epimorphic with val: <12 19 28 33 42 58 59 73 78 90 91 99 118 120|
Scale is JI-epimorphic with val: <12 19 28 33 42 58 60 72 76 92 92 99 118 120|
Scale is JI-epimorphic with val: <12 19 28 33 42 58 60 72 77 91 92 99 118 120|
Scale is JI-epimorphic with val: <12 19 28 33 42 58 60 72 78 90 92 99 118 120|
Scale is weakly epimorphic with val: <12 19 28 33 42 59 59 72 76 91 92 98 118 120|
Scale is weakly epimorphic with val: <12 19 28 33 42 59 59 72 77 90 92 98 118 120|
Scale is weakly epimorphic with val: <12 19 28 33 43 57 58 73 77 92 92 99 117 119|
Scale is weakly epimorphic with val: <12 19 28 33 43 57 58 73 78 91 92 99 117 119|
Scale is weakly epimorphic with val: <12 19 28 33 43 57 58 73 78 92 92 98 117 119|
Scale is weakly epimorphic with val: <12 19 28 33 43 58 58 72 76 92 92 99 118 120|
Scale is weakly epimorphic with val: <12 19 28 33 43 58 58 72 77 91 92 99 118 120|
Scale is weakly epimorphic with val: <12 19 28 33 43 58 58 72 78 90 92 99 118 120|
Scale is weakly epimorphic with val: <12 19 28 33 43 58 59 74 78 92 92 100 118 120|
Scale is weakly epimorphic with val: <12 19 28 33 43 58 60 74 78 92 92 100 117 120|
Scale is JI-epimorphic with val: <12 19 28 34 41 58 59 73 76 91 91 99 117 120|
Scale is JI-epimorphic with val: <12 19 28 34 41 58 59 73 77 90 91 99 117 120|
Scale is JI-epimorphic with val: <12 19 28 34 41 58 60 72 76 91 92 99 117 120|
Scale is JI-epimorphic with val: <12 19 28 34 41 58 60 72 77 90 92 99 117 120|
Scale is weakly epimorphic with val: <12 19 28 34 41 59 59 72 76 90 92 98 117 120|
Scale is weakly epimorphic with val: <12 19 28 34 42 58 58 72 76 91 92 99 117 120|
Scale is weakly epimorphic with val: <12 19 28 34 42 58 58 72 77 90 92 99 117 120|
Scale is weakly epimorphic with val: <12 19 28 34 42 58 59 74 77 92 92 100 117 120|
Scale is weakly epimorphic with val: <12 19 28 34 42 58 59 74 78 91 92 100 117 120|
Scale is weakly epimorphic with val: <12 19 28 34 42 58 59 74 78 92 92 99 117 120|
Scale is weakly epimorphic with val: <12 19 28 35 42 58 60 72 78 92 92 99 119 121|
Scale is weakly epimorphic with val: <12 19 28 35 42 59 59 72 78 92 92 98 118 121|
Scale is weakly epimorphic with val: <12 19 29 33 41 57 58 74 76 90 92 98 117 119|
Scale is weakly epimorphic with val: <12 19 29 33 41 57 59 73 78 91 91 98 118 121|
Scale is weakly epimorphic with val: <12 19 29 33 41 57 60 72 77 92 92 98 118 121|
Scale is weakly epimorphic with val: <12 19 29 33 41 57 60 72 78 91 92 98 118 121|
Scale is JI-epimorphic with val: <12 19 29 33 42 58 60 73 78 92 92 99 119 121|
Scale is weakly epimorphic with val: <12 19 29 33 42 59 59 73 77 92 92 98 119 121|
Scale is weakly epimorphic with val: <12 19 29 33 42 59 59 73 78 91 92 98 119 121|
Scale is weakly epimorphic with val: <12 19 29 33 43 57 58 72 78 91 91 99 119 120|
Scale is weakly epimorphic with val: <12 19 29 33 43 57 58 72 78 91 91 100 119 119|
Scale is weakly epimorphic with val: <12 19 29 33 43 58 58 73 78 92 92 99 119 121|
Scale is JI-epimorphic with val: <12 19 29 34 41 58 59 74 78 91 91 99 118 121|
Scale is JI-epimorphic with val: <12 19 29 34 41 58 60 73 77 92 92 99 118 121|
Scale is JI-epimorphic with val: <12 19 29 34 41 58 60 73 78 91 92 99 118 121|
Scale is weakly epimorphic with val: <12 19 29 34 41 59 59 73 76 92 92 98 118 121|
Scale is weakly epimorphic with val: <12 19 29 34 41 59 59 73 77 91 92 98 118 121|
Scale is weakly epimorphic with val: <12 19 29 34 41 59 59 73 78 90 92 98 118 121|
Scale is weakly epimorphic with val: <12 19 29 34 42 57 58 72 77 91 91 99 118 120|
Scale is weakly epimorphic with val: <12 19 29 34 42 57 58 72 77 91 91 100 118 119|
Scale is weakly epimorphic with val: <12 19 29 34 42 57 58 72 78 90 91 99 118 120|
Scale is weakly epimorphic with val: <12 19 29 34 42 57 58 72 78 90 91 100 118 119|
Scale is weakly epimorphic with val: <12 19 29 34 42 57 58 74 78 92 92 99 117 120|
Scale is weakly epimorphic with val: <12 19 29 34 42 57 58 74 78 92 92 100 117 119|
Scale is weakly epimorphic with val: <12 19 29 34 42 58 58 73 77 92 92 99 118 121|
Scale is weakly epimorphic with val: <12 19 29 34 42 58 58 73 78 91 92 99 118 121|
Scale is weakly epimorphic with val: <12 19 29 34 43 59 59 72 77 91 91 100 119 121|
Scale is weakly epimorphic with val: <12 19 29 34 43 59 59 72 78 90 91 100 119 121|
Scale is weakly epimorphic with val: <12 19 29 35 41 57 58 72 76 91 91 99 117 120|
Scale is weakly epimorphic with val: <12 19 29 35 41 57 58 72 76 91 91 100 117 119|
Scale is weakly epimorphic with val: <12 19 29 35 41 57 58 72 77 90 91 99 117 120|
Scale is weakly epimorphic with val: <12 19 29 35 41 57 58 72 77 90 91 100 117 119|
Scale is weakly epimorphic with val: <12 19 29 35 41 58 58 73 76 92 92 99 117 121|
Scale is weakly epimorphic with val: <12 19 29 35 41 58 58 73 77 91 92 99 117 121|
Scale is weakly epimorphic with val: <12 19 29 35 41 58 58 73 78 90 92 99 117 121|
Scale is weakly epimorphic with val: <12 19 29 35 42 59 59 72 76 90 91 100 119 121|
Scale is weakly epimorphic with val: <12 19 29 35 42 59 59 72 76 91 91 100 118 121|
Scale is weakly epimorphic with val: <12 19 29 35 42 59 59 72 77 90 91 100 118 121|
Scale is weakly epimorphic with val: <12 19 29 35 43 59 59 72 76 90 91 100 117 121|
FIT/MODE
 12:  1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 3.6136 c. M:-6.8005 c.  Twelve-tone Chromatic (1/11-comma)
 79:  6 7 7 6 7 6 7 6 7 7 6 7  SP M ME   SD: 3.2274 c. M: 7.2361 c.  Meantone Chromatic (3/20-comma)
 83:  7 7 7 6 8 6 7 7 7 7 7 7  SP   D3   SD: 4.0798 c. M:-6.4017 c. 
 87:  7 7 8 7 7 7 8 7 7 7 7 8  SP   D3   SD: 3.9996 c. M:-6.2355 c. 
 89:  7 8 7 7 8 7 8 7 8 7 7 8  SP M ME   SD: 2.9842 c. M:-6.7336 c. 
 91:  7 8 8 7 8 7 8 7 8 8 7 8  SP M ME   SD: 2.7262 c. M:-6.0839 c.  Meantone Chromatic (1/7-comma), Romieu-12
 95:  8 8 8 7 9 7 8 8 8 8 8 8  SP   D3   SD: 3.6880 c. M:-5.9451 c. 
 98:  8 8 8 8 9 7 9 8 8 8 8 9  SP   D3   SD: 3.5514 c. M: 7.3311 c. 
 100: 8 8 9 8 9 7 9 8 9 8 8 9  SP   D3   SD: 3.3974 c. M: 5.7412 c. 
 101: 8 9 8 8 9 8 9 8 8 9 8 9  SP M ME   SD: 2.4941 c. M: 5.5481 c. 
 102: 8 9 8 9 9 7 9 9 8 9 8 9  SP   D3   SD: 3.1774 c. M: 4.9642 c. 
 103: 8 9 9 8 9 8 9 8 9 9 8 9  SP M ME   SD: 2.4144 c. M:-5.6998 c.  Meantone Chromatic (3/22-comma)
 112: 9 9 10 9 10 8 10 9 10 9 9 10  SP   D3   SD: 2.8962 c. M: 4.8840 c. 
 113: 9 10 9 9 10 9 10 9 9 10 9 10  SP M ME   SD: 2.1674 c. M: 4.6018 c. 
 114: 9 10 9 10 10 8 10 10 9 10 9 10  SP   D3   SD: 2.7734 c. M:-4.4722 c. 
 115: 9 10 9 10 10 9 10 9 10 10 9 10  SP M ME   SD: 2.1617 c. M: 5.0389 c. 
 122: 10 10 10 10 11 9 11 10 10 10 10 11  SP   D3   SD: 2.4514 c. M: 5.7252 c. 
 124: 10 10 11 10 11 9 11 10 11 10 10 11  SP   D3   SD: 2.5347 c. M: 4.1928 c. 
 125: 10 11 10 10 11 10 11 10 10 11 10 11  SP M ME   SD: 1.9642 c. M:-3.8588 c. 
 134: 11 11 11 11 12 10 12 11 11 12 10 12  SP   D3 S SD: 1.8513 c. M:-3.8173 c. 
 136: 11 11 12 11 12 10 12 11 12 11 11 12  SP   D3   SD: 2.2795 c. M: 3.6235 c. 
 137: 11 12 11 11 12 11 12 11 11 12 11 12  SP M ME   SD: 1.8514 c. M:-3.7187 c. 
 146: 12 12 12 12 13 11 13 12 12 13 11 13  SP   D3 S SD: 1.6366 c. M:-3.5719 c. 
 148: 12 12 13 12 13 11 13 12 13 12 12 13  SP   D3   SD: 2.1064 c. M:-3.3628 c. 
 149: 12 13 12 12 13 12 13 12 12 13 12 13  SP M ME   SD: 1.8027 c. M:-3.6011 c. 
 151: 12 13 12 13 13 12 13 12 13 13 12 13  SP M ME   SD: 1.8314 c. M: 3.1731 c. 
 158: 13 13 13 13 14 12 14 13 13 14 12 14  SP   D3 S SD: 1.5031 c. M:-3.5797 c. 
 159: 13 13 13 13 14 13 14 13 13 13 13 14  SP   D3   SD: 2.5042 c. M: 3.0750 c. 
 160: 13 13 14 13 14 12 14 13 14 13 13 14  SP   D3   SD: 1.9964 c. M:-3.3628 c. 
 161: 13 14 13 13 14 13 14 13 13 14 13 14  SP M ME   SD: 1.7972 c. M:-3.5010 c. 
 162: 13 14 13 13 15 12 14 14 13 14 13 14  SP        SD: 1.8762 c. M: 2.9353 c. 
 163: 13 14 13 14 14 13 14 13 14 14 13 14  SP M ME   SD: 1.8291 c. M:-3.1195 c. 
 166: 13 14 14 14 14 13 15 13 14 14 13 15  SP   D3 S SD: 1.7865 c. M: 2.8468 c. 
 170: 13 15 14 14 15 13 15 14 14 14 14 15  SP   D3 S SD: 1.5162 c. M: 3.8737 c. 
 182: 14 16 15 15 16 14 16 15 15 16 14 16  SP   D3   SD: 1.2279 c. M:-3.0300 c. 
 193: 15 17 16 16 17 14 17 16 16 17 15 17  SP        SD: 1.7798 c. M: 2.5259 c. 
 194: 15 17 16 16 17 15 17 16 16 17 15 17  SP   D3   SD: 1.1399 c. M:-2.8941 c. 
 202: 16 17 17 17 17 16 18 16 17 17 16 18  SP   D3 S SD: 1.3922 c. M:-2.4920 c. 
 206: 16 18 17 17 18 16 18 17 17 18 16 18  SP   D3   SD: 1.1030 c. M:-2.7739 c. 
 215: 17 18 18 18 19 16 19 18 18 18 17 19  SP        SD: 1.2524 c. M: 2.3924 c. 
 218: 17 19 18 18 19 17 19 18 18 19 17 19  SP   D3   SD: 1.1059 c. M:-2.6671 c. 
 227: 18 19 19 19 20 17 20 19 19 19 18 20  SP        SD: 1.1529 c. M: 2.1465 c. 
 230: 18 20 19 19 20 18 20 19 19 20 18 20  SP   D3   SD: 1.1369 c. M:-2.5713 c. 
 237: 19 20 20 19 21 18 21 19 20 20 19 21  SP        SD: 1.0351 c. M: 2.1728 c. 
 239: 19 20 20 20 21 18 21 20 20 20 19 21  SP        SD: 1.0931 c. M:-2.1075 c. 
 242: 19 21 20 20 21 19 21 20 20 21 19 21  SP   D3   SD: 1.1860 c. M:-2.4851 c. 
 249: 20 21 21 20 22 19 22 20 21 21 20 22  SP        SD: 0.9496 c. M: 1.9288 c. 
 253: 20 22 21 20 23 19 22 21 21 22 20 22  SP        SD: 1.2249 c. M: 1.8520 c. 
 254: 20 22 21 21 22 20 22 21 21 22 20 22  SP   D3   SD: 1.2459 c. M:-2.4070 c. 
 256: 20 22 21 21 23 19 23 21 21 22 20 23  SP        SD: 1.4084 c. M: 2.5745 c. 
 257: 20 22 22 21 22 20 23 21 21 22 20 23  SP        SD: 1.2896 c. M: 1.8060 c. 
 259: 21 22 21 21 23 20 23 21 22 22 20 23  SP        SD: 1.2821 c. M:-2.2045 c. 
 261: 21 22 22 21 23 20 23 21 22 22 21 23  SP        SD: 0.9019 c. M: 1.7072 c. 
 265: 21 23 22 21 24 20 23 22 22 23 21 23  SP        SD: 1.1781 c. M:-1.6551 c. 
 268: 21 23 22 22 24 20 24 22 22 23 21 24  SP        SD: 1.1907 c. M: 2.1547 c. 
 273: 22 23 23 22 24 21 24 22 23 23 22 24  SP        SD: 0.8872 c. M:-1.6883 c. 
 280: 22 24 23 23 25 21 25 23 23 24 22 25  SP        SD: 0.9938 c. M: 1.7709 c. 
 285: 23 24 24 23 25 22 25 23 24 24 23 25  SP        SD: 0.8993 c. M:-1.7346 c. 
 292: 23 25 24 24 26 22 26 24 24 25 23 26  SP        SD: 0.8161 c. M: 1.4187 c. 
 304: 24 26 25 25 27 23 27 25 25 26 24 27  SP        SD: 0.6571 c. M: 1.1602 c. 
 316: 25 27 26 26 28 24 28 26 26 27 25 28  SP        SD: 0.5180 c. M: 1.0103 c. 
 328: 26 28 27 27 29 25 29 27 27 28 26 29  SP        SD: 0.4025 c. M: 0.8713 c. 
 340: 27 29 28 28 30 26 30 28 28 29 27 30  SP        SD: 0.3199 c. M: 0.7422 c. 
 352: 28 30 29 29 31 27 31 29 29 30 28 31  SP        SD: 0.2841 c. M: 0.6219 c. 
 735: 58 63 61 60 65 56 65 60 61 63 58 65  SP        SD: 0.3262 c. M: 0.5464 c. 
 740: 59 63 61 61 65 57 65 61 61 63 59 65  SP        SD: 0.3231 c. M:-0.7283 c. 
 747: 59 64 62 61 66 57 66 61 62 64 59 66  SP        SD: 0.2646 c. M: 0.4371 c. 
 759: 60 65 63 62 67 58 67 62 63 65 60 67  SP        SD: 0.2059 c. M: 0.3419 c. 
 771: 61 66 64 63 68 59 68 63 64 66 61 68  SP        SD: 0.1508 c. M: 0.2496 c. 
 783: 62 67 65 64 69 60 69 64 65 67 62 69  SP        SD: 0.1021 c. M: 0.1746 c. 
 795: 63 68 66 65 70 61 70 65 66 68 63 70  SP        SD: 0.0690 c. M:-0.1457 c. 
 807: 64 69 67 66 71 62 71 66 67 69 64 71  SP        SD: 0.0723 c. M:-0.1850 c. 
 1135: 90 97 94 93 100 87 100 93 94 97 90 100  SP        SD: 0.0741 c. M: 0.1399 c. 
 1147: 91 98 95 94 101 88 101 94 95 98 91 101  SP        SD: 0.0533 c. M:-0.1006 c. 
 1930: 153 165 160 158 170 148 170 158 160 165 153 170  SP        SD: 0.0473 c. M: 0.1125 c. 
 1942: 154 166 161 159 171 149 171 159 161 166 154 171  SP        SD: 0.0305 c. M: 0.0773 c. 
 1954: 155 167 162 160 172 150 172 160 162 167 155 172  SP        SD: 0.0253 c. M:-0.0451 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: 1.5412 cents
 3 x x x x 4 x x x 5 x x 6  S SD: 4.2195 cents
 4 x x x 5 x x 6 x x 7 x 8  S SD: 7.9649 cents
 5 x x 6 x x 7 x 8 x 9 x 10  S SD: 6.5367 cents
 6 x x 7 x 8 x 9 x 10 x 11:12  S SD: 9.3093 cents
 7 x 8 x 9 x 10 x 11:12 x 13:14  S SD: 10.4330 cents
 8 x 9 x 10 x 11:12:13 x 14:15:16  S SD: 8.5969 cents
 9 x 10 x 11:12:13 x 14:15:16:17:18  S SD: 8.3784 cents
 10 x 11:12 x 13:14:15:16:17:18:19:20  S SD: 7.1525 cents
 11 x 12:13:14:15 x 16:17:18:20:21:22  S SD: 11.0949 cents
 12:13 x 14:15:16:17:18:19:20:21:23:24    SD: 6.4906 cents
 13:14 x 15:16:17:18:19:21:22:23:24:26    SD: 9.6866 cents
 14:15:16:17:18:19:20:21:22:24:25:26:28  S SD: 7.5593 cents
 15:16:17:18:19:20:21:22:24:25:27:28:30    SD: 4.9481 cents
 20:21:22:24:25:27:28:30:32:34:36:38:40    SD: 4.8977 cents
 22:23:25:26:28:29:31:33:35:37:39:41:44    SD: 4.0524 cents
 24:25:27:28:30:32:34:36:38:40:43:45:48    SD: 3.7795 cents
 27:29:30:32:34:36:38:40:43:45:48:51:54    SD: 3.4374 cents
 31:33:35:37:39:41:44:46:49:52:55:58:62    SD: 2.9819 cents
 32:34:36:38:40:43:45:48:51:54:57:60:64    SD: 1.9800 cents
 48:51:54:57:60:64:68:72:76:81:85:90:96    SD: 1.9659 cents
 50:53:56:59:63:67:70:75:79:84:89:94:100    SD: 1.5747 cents
 58:61:65:69:73:77:82:87:92:97:103:109:116    SD: 1.4740 cents
 59:62:66:70:74:79:83:88:94:99:105:111:118    SD: 1.3645 cents
 66:70:74:78:83:88:93:99:105:111:118:124:132    SD: 1.2880 cents
 68:72:76:81:85:91:96:102:108:114:121:128:136    SD: 1.2202 cents
 69:73:77:82:87:92:97:103:109:116:123:130:138    SD: 1.1736 cents
 74:78:83:88:93:99:104:111:117:124:132:139:148    SD: 0.8314 cents
 90:95:101:107:113:120:127:135:143:151:160:169:180    SD: 0.7681 cents
 101:107:113:120:127:135:142:151:160:170:180:190:202    SD: 0.7505 cents
 108:114:121:128:136:144:152:162:171:181:192:203:216    SD: 0.6948 cents
 122:129:137:145:153:163:172:183:193:205:217:230:244    SD: 0.6823 cents
 125:132:140:148:157:167:176:187:198:210:223:235:250    SD: 0.5553 cents
 140:148:157:166:176:187:197:210:222:235:249:263:280    SD: 0.4919 cents
 159:168:178:189:200:212:224:238:252:267:283:299:318    SD: 0.4148 cents
 191:202:214:227:240:255:269:286:303:321:340:359:382    SD: 0.3729 cents
 214:226:240:254:269:286:301:320:339:359:381:403:428    SD: 0.3580 cents
 215:227:241:255:270:287:303:322:341:361:383:405:430    SD: 0.3113 cents
 245:259:275:291:308:327:345:367:388:411:436:461:490    SD: 0.3091 cents
 262:277:294:311:329:350:369:392:415:440:467:493:524    SD: 0.2890 cents
 265:280:297:315:333:354:373:397:420:445:472:499:530    SD: 0.2522 cents
 289:305:324:343:363:386:407:433:458:485:515:544:578    SD: 0.2300 cents
 304:321:341:361:382:406:428:455:482:510:541:572:608    SD: 0.2199 cents
 354:374:397:420:445:473:499:530:561:594:630:666:708    SD: 0.2047 cents
 370:391:415:439:465:494:521:554:586:621:659:696:740    SD: 0.1860 cents
 390:412:437:463:490:521:549:584:618:655:695:734:780    SD: 0.1777 cents
 421:445:472:500:529:562:593:630:667:707:750:792:842    SD: 0.1770 cents
 438:463:491:520:550:585:617:656:694:735:780:824:876    SD: 0.1519 cents
 479:506:537:569:602:640:675:717:759:804:853:901:958    SD: 0.1255 cents