Scala analysis: appalachian

Synchronous beating quasi-1/4 syntonic comma meantone temperament

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:       4025/3852           76.057296
  2:       3230/2889          193.156753
  3:        128/107           310.239616
  4:          5/4             386.313714 major third
  5:       1288/963           503.429868
  6:       8075/5778          579.470467
  7:        160/107           696.553330 Milliet de Chales 1/4-comma fifth
  8:         25/16            772.627428 classic augmented fifth
  9:       1610/963           889.743582
 10:       5168/2889         1006.843039
 11:        200/107          1082.867044
 12:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:        107/100           117.1330 
  1:       4025/3852           76.0573 
  2:       2584/2415          117.0995 
  3:       1728/1615          117.0829 
  4:        535/512            76.0741 
  5:       5152/4815          117.1162 
  6:       8075/7728           76.0406 
  7:       1728/1615          117.0829 
  8:        535/512            76.0741 
  9:       5152/4815          117.1162 
 10:       2584/2415          117.0995 
 11:        675/646            76.0240 
 12:        107/100           117.1330 
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 675/646             76.024 cents   
  1:   1 8075/7728           76.041 cents   
  1:   1 4025/3852           76.057 cents   
  1:   2 535/512             76.074 cents   
  1:   2 1728/1615           117.083 cents  
  1:   2 2584/2415           117.099 cents  
  1:   2 5152/4815           117.116 cents  
  1:   1 107/100             117.133 cents  
  2:   2 180/161             193.123 cents  
  2:   2 3230/2889           193.157 cents  
  2:   3 2889/2584           193.157 cents  
  2:   3 161/144             193.190 cents  
  2:   1 4608/4025           234.182 cents  
  2:   1 82688/72225         234.216 cents  
  3:   1 24075/20608         269.198 cents  
  3:   1 12075/10336         269.214 cents  
  3:   1 8075/6912           269.231 cents  
  3:   3 128/107             310.240 cents  
  3:   2 963/805             310.256 cents  
  3:   2 1932/1615           310.273 cents  
  3:   2 323/270             310.290 cents  
  4:   8 5/4                 386.314 cents  major third
  4:   4 32/25               427.373 cents  classic diminished fourth
  5:   1 2675/2048           462.388 cents  
  5:   3 432/323             503.397 cents  
  5:   3 646/483             503.413 cents  
  5:   3 1288/963            503.430 cents  
  5:   2 107/80              503.447 cents  
  6:   1 225/161             579.437 cents  
  6:   1 8075/5778           579.470 cents  
  6:   2 14445/10336         579.471 cents  
  6:   2 805/576             579.504 cents  
  6:   2 1152/805            620.496 cents  
  6:   2 20672/14445         620.529 cents  
  6:   1 11556/8075          620.530 cents  
  6:   1 322/225             620.563 cents  
  7:   2 160/107             696.553 cents  Milliet de Chales 1/4-comma fifth
  7:   3 963/644             696.570 cents  
  7:   3 483/323             696.587 cents  
  7:   3 323/216             696.603 cents  
  7:   1 4096/2675           737.612 cents  
  8:   4 25/16               772.627 cents  classic augmented fifth
  8:   8 8/5                 813.686 cents  minor sixth
  9:   2 540/323             889.710 cents  
  9:   2 1615/966            889.727 cents  
  9:   2 1610/963            889.744 cents  
  9:   3 107/64              889.760 cents  
  9:   1 13824/8075          930.769 cents  
  9:   1 20672/12075         930.786 cents  
  9:   1 41216/24075         930.802 cents  
 10:   1 72225/41344         965.784 cents  
 10:   1 4025/2304           965.818 cents  
 10:   3 288/161             1006.810 cents 
 10:   3 5168/2889           1006.843 cents 
 10:   2 2889/1615           1006.843 cents 
 10:   2 161/90              1006.877 cents 
 11:   1 200/107             1082.867 cents 
 11:   2 4815/2576           1082.884 cents 
 11:   2 2415/1292           1082.901 cents 
 11:   2 1615/864            1082.917 cents 
 11:   2 1024/535            1123.926 cents 
 11:   1 7704/4025           1123.943 cents 
 11:   1 15456/8075          1123.959 cents 
 11:   1 1292/675            1123.976 cents 
Highest number of different intervals for one interval class: 8
Average number of different intervals per interval class: 5.81818 = 64/11
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10     11     12    
 0.0   : 76.1  193.2 310.2 386.3 503.4 579.5 696.6 772.6 889.7 1006.8 1082.9 1200.0
 76.1  : 117.1 234.2 310.3 427.4 503.4 620.5 696.6 813.7 930.8 1006.8 1123.9 1200.0
 193.2 : 117.1 193.2 310.3 386.3 503.4 579.5 696.6 813.7 889.7 1006.8 1082.9 1200.0
 310.2 : 76.1  193.2 269.2 386.3 462.4 579.5 696.6 772.6 889.8 965.8  1082.9 1200.0
 386.3 : 117.1 193.2 310.2 386.3 503.4 620.5 696.6 813.7 889.7 1006.8 1123.9 1200.0
 503.4 : 76.0  193.1 269.2 386.3 503.4 579.4 696.6 772.6 889.7 1006.8 1082.9 1200.0
 579.5 : 117.1 193.2 310.3 427.4 503.4 620.5 696.6 813.7 930.8 1006.8 1124.0 1200.0
 696.6 : 76.1  193.2 310.3 386.3 503.4 579.5 696.6 813.7 889.8 1006.9 1082.9 1200.0
 772.6 : 117.1 234.2 310.2 427.4 503.4 620.5 737.6 813.7 930.8 1006.8 1123.9 1200.0
 889.7 : 117.1 193.1 310.3 386.3 503.4 620.5 696.6 813.7 889.7 1006.8 1082.9 1200.0
 1006.8: 76.0  193.2 269.2 386.3 503.4 579.5 696.6 772.6 889.7 965.8  1082.9 1200.0
 1082.9: 117.1 193.2 310.3 427.4 503.4 620.6 696.6 813.7 889.8 1006.9 1124.0 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  76.0240   .. 117.1330 cents      34561/33750, 41.1090 cents         675/646, 76.0240 cents
  2:  193.1235  .. 234.2156 cents      3328192/3250125, 41.0921 cents     18000/17227, 75.9905 cents
  3:  269.1976  .. 310.2897 cents      3328192/3250125, 41.0921 cents     1738816875/1704034304, 34.9819 cents
  4:  386.3137  .. 427.3726 cents      128/125, 41.0589 cents             675/646, 76.0240 cents
  5:  462.3878  .. 503.4467 cents      128/125, 41.0589 cents             66875/65536, 35.0152 cents
  6:  579.4372  .. 620.5628 cents      51842/50625, 41.1256 cents         18000/17227, 75.9905 cents
  7:  696.5533  .. 737.6122 cents      128/125, 41.0589 cents             18000/17227, 75.9905 cents
  8:  772.6274  .. 813.6863 cents      128/125, 41.0589 cents             66875/65536, 35.0152 cents
  9:  889.7103  .. 930.8024 cents      3328192/3250125, 41.0921 cents     675/646, 76.0240 cents
 10:  965.7844  .. 1006.8765 cents     3328192/3250125, 41.0921 cents     1738816875/1704034304, 34.9819 cents
 11:  1082.8670 .. 1123.9760 cents     34561/33750, 41.1090 cents         18000/17227, 75.9905 cents
SHOW DATA
Number of notes                     : 12
-- Interval properties --
Smallest interval                   : 675/646, 76.0240 cents, class 1
Average step (divided formal octave): 100.0000 cents
Largest one step interval           : 107/100, 117.1330 cents
Average / Smallest step             : 1.315374
Largest / Average step              : 1.171330
Largest / Smallest step             : 1.540736
Median interval of one step         : 1728/1615, 117.0829 cents, amount: 2
Least squares average step          : 99.04134 cents, oct.:  1188.49605 cents
Scale is strictly proper
Step pattern alph. order: ABCDEFCDEBGH
Step pattern size order : CFEDGBEDGFAH
Scale is a Constant Structure, by a margin of 34.98195 cents
Scale diversity                     : 1.219102
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.623377
Rothenberg efficiency               : 0.319529   redundancy: 0.680471
Efficiency x scale size             : 3.834343
Number of different interval sizes  : 64 = 5.81818 / class
Number of one step interval sizes   : 8
Highest interval variety            : 8
Mean interval variety               : 5.81818 = 64/11
Median interval variety             : 2
Lowest interval variety             : 2
Smallest interval difference        : 8346321/8346320, 0.0002 cents
Most common intervals               : 5/4, 386.3137 cents & inv., amount: 8
Most common triad is 0.0 386.314 813.686 cents, amount: 4
Number of recognisable fifths       : 11, average 696.5807 cents
Best fifths form a closed circle
Formal octave complements present   : 1 = 8.3333%
Limited inverse transpositions      :
 11
Inversional symmetry on intervals   :
 5-6 11-12
-- Rational properties --
Prime limit                         : 107
Odd number limit                    : 72225 (O: 72225 U: 72225)
Highest odd numerator or denominator: 8075
Scale harmonicity                   : 0.006739
Fundamental                         : 1/46224, -15.4964 octaves, 0.0057 Hz.
Guide tone                          : 166409600,  27.3102 octaves, 43537005671.513 Hz.
Exponens Consonantiae               : 7.692117E+12, 42.80652 octaves
Euler's gradus suavitatis           : 194
Sum of Mann's harmonic distance     : 20796.0, average 1733.00000
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 28.58572, average 2.38214
Sum of Tenney's harmonic distance   : 58.19202, average 4.84933
Vogel's harmonic complexity         : 58.83333
Wille's k value                     : 36112
Wilson's harmonic complexity        : 192
Rectangular lattice diameter        : 10
Triangular lattice diameter         : 6
Lattice compactness                 : 365.33356, average 4.68376
Lattice compactness (without 2's)   : 183.03395, average 2.34659
Number of different primes          : 8
Prime exponents' range, average, count, tones@limit:
  2:  -4 .. 7         1.33333   34    1
  3:  -3 .. 0        -1.25000   15
  5:   0 .. 2         1.00000   12    2
  7:   0 .. 1         0.25000   3
 17:   0 .. 1         0.25000   3
 19:   0 .. 1         0.25000   3
 23:   0 .. 1         0.25000   3
 107: -1 .. 0        -0.75000   9     9
Average exponent except 2's         : 0 / 12 = 0.00000
Average absolute exponent except 2's: 48 / 12 = 4.00000
Scale is weakly epimorphic with val: <12 18 28 32 47 49 55 81|
Scale is weakly epimorphic with val: <12 18 28 32 47 50 53 82|
Scale is JI-epimorphic with val: <12 18 28 32 47 50 54 81|
Scale is weakly epimorphic with val: <12 18 28 32 47 50 57 82|
Scale is weakly epimorphic with val: <12 18 28 32 47 52 55 82|
Scale is weakly epimorphic with val: <12 18 28 32 47 53 55 81|
Scale is weakly epimorphic with val: <12 18 28 32 48 49 53 82|
Scale is JI-epimorphic with val: <12 18 28 32 48 49 54 81|
Scale is weakly epimorphic with val: <12 18 28 32 48 49 57 82|
Scale is weakly epimorphic with val: <12 18 28 32 48 51 55 82|
Scale is weakly epimorphic with val: <12 18 28 32 48 52 55 81|
Scale is weakly epimorphic with val: <12 18 28 32 48 53 53 82|
Scale is weakly epimorphic with val: <12 18 28 32 48 53 54 81|
Scale is weakly epimorphic with val: <12 18 28 32 48 53 57 82|
Scale is weakly epimorphic with val: <12 18 28 32 49 50 55 82|
Scale is weakly epimorphic with val: <12 18 28 32 49 51 55 81|
Scale is weakly epimorphic with val: <12 18 28 32 49 52 53 82|
Scale is weakly epimorphic with val: <12 18 28 32 49 52 54 81|
Scale is weakly epimorphic with val: <12 18 28 32 49 52 57 82|
Scale is weakly epimorphic with val: <12 18 28 32 50 50 55 81|
Scale is weakly epimorphic with val: <12 18 28 32 50 51 53 82|
Scale is weakly epimorphic with val: <12 18 28 32 50 51 54 81|
Scale is weakly epimorphic with val: <12 18 28 32 50 51 57 82|
Scale is weakly epimorphic with val: <12 18 28 32 50 53 55 82|
Scale is weakly epimorphic with val: <12 18 28 32 51 52 55 82|
Scale is weakly epimorphic with val: <12 18 28 32 51 53 55 81|
Scale is weakly epimorphic with val: <12 18 28 33 47 49 54 81|
Scale is weakly epimorphic with val: <12 18 28 33 47 50 52 82|
Scale is JI-epimorphic with val: <12 18 28 33 47 50 53 81|
Scale is weakly epimorphic with val: <12 18 28 33 47 50 56 82|
Scale is weakly epimorphic with val: <12 18 28 33 47 50 57 81|
Scale is weakly epimorphic with val: <12 18 28 33 47 52 54 82|
Scale is weakly epimorphic with val: <12 18 28 33 47 53 54 81|
Scale is weakly epimorphic with val: <12 18 28 33 48 49 52 82|
Scale is JI-epimorphic with val: <12 18 28 33 48 49 53 81|
Scale is weakly epimorphic with val: <12 18 28 33 48 49 56 82|
Scale is weakly epimorphic with val: <12 18 28 33 48 49 57 81|
Scale is weakly epimorphic with val: <12 18 28 33 48 51 54 82|
Scale is weakly epimorphic with val: <12 18 28 33 48 52 54 81|
Scale is weakly epimorphic with val: <12 18 28 33 48 53 53 81|
Scale is weakly epimorphic with val: <12 18 28 33 48 53 56 82|
Scale is weakly epimorphic with val: <12 18 28 33 48 53 57 81|
Scale is weakly epimorphic with val: <12 18 28 33 49 50 54 82|
Scale is weakly epimorphic with val: <12 18 28 33 49 51 54 81|
Scale is weakly epimorphic with val: <12 18 28 33 49 52 52 82|
Scale is weakly epimorphic with val: <12 18 28 33 49 52 53 81|
Scale is weakly epimorphic with val: <12 18 28 33 49 52 56 82|
Scale is weakly epimorphic with val: <12 18 28 33 49 52 57 81|
Scale is weakly epimorphic with val: <12 18 28 33 50 50 54 81|
Scale is weakly epimorphic with val: <12 18 28 33 50 51 52 82|
Scale is weakly epimorphic with val: <12 18 28 33 50 51 53 81|
Scale is weakly epimorphic with val: <12 18 28 33 50 51 56 82|
Scale is weakly epimorphic with val: <12 18 28 33 50 51 57 81|
Scale is weakly epimorphic with val: <12 18 28 33 50 53 54 82|
Scale is weakly epimorphic with val: <12 18 28 33 51 52 54 82|
Scale is weakly epimorphic with val: <12 18 28 33 51 53 54 81|
Scale is weakly epimorphic with val: <12 18 28 34 47 49 53 81|
Scale is weakly epimorphic with val: <12 18 28 34 47 49 57 81|
Scale is JI-epimorphic with val: <12 18 28 34 47 50 52 81|
Scale is weakly epimorphic with val: <12 18 28 34 47 50 55 82|
Scale is weakly epimorphic with val: <12 18 28 34 47 50 56 81|
Scale is weakly epimorphic with val: <12 18 28 34 47 52 53 82|
Scale is weakly epimorphic with val: <12 18 28 34 47 52 57 82|
Scale is weakly epimorphic with val: <12 18 28 34 47 53 53 81|
Scale is weakly epimorphic with val: <12 18 28 34 47 53 57 81|
Scale is JI-epimorphic with val: <12 18 28 34 48 49 52 81|
Scale is weakly epimorphic with val: <12 18 28 34 48 49 55 82|
Scale is weakly epimorphic with val: <12 18 28 34 48 49 56 81|
Scale is weakly epimorphic with val: <12 18 28 34 48 51 53 82|
Scale is weakly epimorphic with val: <12 18 28 34 48 51 57 82|
Scale is weakly epimorphic with val: <12 18 28 34 48 52 53 81|
Scale is weakly epimorphic with val: <12 18 28 34 48 52 57 81|
Scale is weakly epimorphic with val: <12 18 28 34 48 53 55 82|
Scale is weakly epimorphic with val: <12 18 28 34 48 53 56 81|
Scale is weakly epimorphic with val: <12 18 28 34 49 50 53 82|
Scale is weakly epimorphic with val: <12 18 28 34 49 50 57 82|
Scale is weakly epimorphic with val: <12 18 28 34 49 51 53 81|
Scale is weakly epimorphic with val: <12 18 28 34 49 51 57 81|
Scale is weakly epimorphic with val: <12 18 28 34 49 52 52 81|
Scale is weakly epimorphic with val: <12 18 28 34 49 52 55 82|
Scale is weakly epimorphic with val: <12 18 28 34 49 52 56 81|
Scale is weakly epimorphic with val: <12 18 28 34 50 50 53 81|
Scale is weakly epimorphic with val: <12 18 28 34 50 50 57 81|
Scale is weakly epimorphic with val: <12 18 28 34 50 51 52 81|
Scale is weakly epimorphic with val: <12 18 28 34 50 51 55 82|
Scale is weakly epimorphic with val: <12 18 28 34 50 51 56 81|
Scale is weakly epimorphic with val: <12 18 28 34 50 53 53 82|
Scale is weakly epimorphic with val: <12 18 28 34 50 53 57 82|
Scale is weakly epimorphic with val: <12 18 28 34 51 52 53 82|
Scale is weakly epimorphic with val: <12 18 28 34 51 52 57 82|
Scale is weakly epimorphic with val: <12 18 28 34 51 53 53 81|
Scale is weakly epimorphic with val: <12 18 28 34 51 53 57 81|
Scale is weakly epimorphic with val: <12 18 28 35 47 49 52 81|
Scale is weakly epimorphic with val: <12 18 28 35 47 49 56 81|
Scale is weakly epimorphic with val: <12 18 28 35 47 50 54 82|
Scale is weakly epimorphic with val: <12 18 28 35 47 50 55 81|
Scale is weakly epimorphic with val: <12 18 28 35 47 52 52 82|
Scale is weakly epimorphic with val: <12 18 28 35 47 52 56 82|
Scale is weakly epimorphic with val: <12 18 28 35 47 53 56 81|
Scale is weakly epimorphic with val: <12 18 28 35 48 49 54 82|
Scale is weakly epimorphic with val: <12 18 28 35 48 49 55 81|
Scale is weakly epimorphic with val: <12 18 28 35 48 51 52 82|
Scale is weakly epimorphic with val: <12 18 28 35 48 51 56 82|
Scale is weakly epimorphic with val: <12 18 28 35 48 52 52 81|
Scale is weakly epimorphic with val: <12 18 28 35 48 52 56 81|
Scale is weakly epimorphic with val: <12 18 28 35 48 53 54 82|
Scale is weakly epimorphic with val: <12 18 28 35 48 53 55 81|
Scale is weakly epimorphic with val: <12 18 28 35 49 50 52 82|
Scale is weakly epimorphic with val: <12 18 28 35 49 50 56 82|
Scale is weakly epimorphic with val: <12 18 28 35 49 51 52 81|
Scale is weakly epimorphic with val: <12 18 28 35 49 51 56 81|
Scale is weakly epimorphic with val: <12 18 28 35 49 52 54 82|
Scale is weakly epimorphic with val: <12 18 28 35 49 52 55 81|
Scale is weakly epimorphic with val: <12 18 28 35 50 50 52 81|
Scale is weakly epimorphic with val: <12 18 28 35 50 50 56 81|
Scale is weakly epimorphic with val: <12 18 28 35 50 51 54 82|
Scale is weakly epimorphic with val: <12 18 28 35 50 51 55 81|
Scale is weakly epimorphic with val: <12 18 28 35 50 53 56 82|
Scale is weakly epimorphic with val: <12 18 28 35 51 52 52 82|
Scale is weakly epimorphic with val: <12 18 28 35 51 52 56 82|
Scale is weakly epimorphic with val: <12 18 28 35 51 53 56 81|
Scale is weakly epimorphic with val: <12 18 28 36 47 49 55 81|
Scale is weakly epimorphic with val: <12 18 28 36 47 50 53 82|
Scale is weakly epimorphic with val: <12 18 28 36 47 50 54 81|
Scale is weakly epimorphic with val: <12 18 28 36 47 50 57 82|
Scale is weakly epimorphic with val: <12 18 28 36 47 52 55 82|
Scale is weakly epimorphic with val: <12 18 28 36 47 53 55 81|
Scale is weakly epimorphic with val: <12 18 28 36 48 49 53 82|
Scale is weakly epimorphic with val: <12 18 28 36 48 49 54 81|
Scale is weakly epimorphic with val: <12 18 28 36 48 49 57 82|
Scale is weakly epimorphic with val: <12 18 28 36 48 51 55 82|
Scale is weakly epimorphic with val: <12 18 28 36 48 52 55 81|
Scale is weakly epimorphic with val: <12 18 28 36 48 53 53 82|
Scale is weakly epimorphic with val: <12 18 28 36 48 53 54 81|
Scale is weakly epimorphic with val: <12 18 28 36 48 53 57 82|
Scale is weakly epimorphic with val: <12 18 28 36 49 50 55 82|
Scale is weakly epimorphic with val: <12 18 28 36 49 51 55 81|
Scale is weakly epimorphic with val: <12 18 28 36 49 52 53 82|
Scale is weakly epimorphic with val: <12 18 28 36 49 52 54 81|
Scale is weakly epimorphic with val: <12 18 28 36 49 52 57 82|
Scale is weakly epimorphic with val: <12 18 28 36 50 50 55 81|
Scale is weakly epimorphic with val: <12 18 28 36 50 51 53 82|
Scale is weakly epimorphic with val: <12 18 28 36 50 51 54 81|
Scale is weakly epimorphic with val: <12 18 28 36 50 51 57 82|
Scale is weakly epimorphic with val: <12 18 28 36 50 53 55 82|
Scale is weakly epimorphic with val: <12 18 28 36 51 52 55 82|
Scale is weakly epimorphic with val: <12 18 28 36 51 53 55 81|
Scale is weakly epimorphic with val: <12 18 29 32 47 49 55 81|
Scale is weakly epimorphic with val: <12 18 29 33 47 49 54 81|
Scale is weakly epimorphic with val: <12 18 29 34 47 49 53 81|
Scale is weakly epimorphic with val: <12 18 29 35 47 49 52 81|
Scale is weakly epimorphic with val: <12 19 28 32 47 49 52 81|
Scale is weakly epimorphic with val: <12 19 28 32 47 49 55 82|
Scale is weakly epimorphic with val: <12 19 28 32 47 49 56 81|
Scale is weakly epimorphic with val: <12 19 28 32 47 51 53 82|
Scale is weakly epimorphic with val: <12 19 28 32 47 51 57 82|
Scale is weakly epimorphic with val: <12 19 28 32 47 52 53 81|
Scale is weakly epimorphic with val: <12 19 28 32 47 52 57 81|
Scale is weakly epimorphic with val: <12 19 28 32 47 53 55 82|
Scale is JI-epimorphic with val: <12 19 28 32 47 53 56 81|
Scale is weakly epimorphic with val: <12 19 28 32 48 50 53 82|
Scale is weakly epimorphic with val: <12 19 28 32 48 50 57 82|
Scale is weakly epimorphic with val: <12 19 28 32 48 51 53 81|
Scale is weakly epimorphic with val: <12 19 28 32 48 51 57 81|
Scale is weakly epimorphic with val: <12 19 28 32 48 52 52 81|
Scale is weakly epimorphic with val: <12 19 28 32 48 52 55 82|
Scale is JI-epimorphic with val: <12 19 28 32 48 52 56 81|
Scale is weakly epimorphic with val: <12 19 28 32 49 49 53 82|
Scale is weakly epimorphic with val: <12 19 28 32 49 49 57 82|
Scale is weakly epimorphic with val: <12 19 28 32 49 50 53 81|
Scale is weakly epimorphic with val: <12 19 28 32 49 50 57 81|
Scale is weakly epimorphic with val: <12 19 28 32 49 51 52 81|
Scale is weakly epimorphic with val: <12 19 28 32 49 51 55 82|
Scale is JI-epimorphic with val: <12 19 28 32 49 51 56 81|
Scale is weakly epimorphic with val: <12 19 28 32 49 53 53 82|
Scale is weakly epimorphic with val: <12 19 28 32 49 53 57 82|
Scale is weakly epimorphic with val: <12 19 28 32 50 50 52 81|
Scale is weakly epimorphic with val: <12 19 28 32 50 50 55 82|
Scale is JI-epimorphic with val: <12 19 28 32 50 50 56 81|
Scale is weakly epimorphic with val: <12 19 28 32 50 52 53 82|
Scale is weakly epimorphic with val: <12 19 28 32 50 52 57 82|
Scale is weakly epimorphic with val: <12 19 28 32 50 53 53 81|
Scale is weakly epimorphic with val: <12 19 28 32 50 53 57 81|
Scale is weakly epimorphic with val: <12 19 28 32 51 51 53 82|
Scale is weakly epimorphic with val: <12 19 28 32 51 51 57 82|
Scale is weakly epimorphic with val: <12 19 28 32 51 52 53 81|
Scale is weakly epimorphic with val: <12 19 28 32 51 52 57 81|
Scale is weakly epimorphic with val: <12 19 28 32 51 53 55 82|
Scale is weakly epimorphic with val: <12 19 28 32 51 53 56 81|
Scale is weakly epimorphic with val: <12 19 28 33 47 49 54 82|
Scale is weakly epimorphic with val: <12 19 28 33 47 49 55 81|
Scale is weakly epimorphic with val: <12 19 28 33 47 51 52 82|
Scale is weakly epimorphic with val: <12 19 28 33 47 51 56 82|
Scale is weakly epimorphic with val: <12 19 28 33 47 52 52 81|
Scale is weakly epimorphic with val: <12 19 28 33 47 52 56 81|
Scale is weakly epimorphic with val: <12 19 28 33 47 53 54 82|
Scale is JI-epimorphic with val: <12 19 28 33 47 53 55 81|
Scale is weakly epimorphic with val: <12 19 28 33 48 50 52 82|
Scale is weakly epimorphic with val: <12 19 28 33 48 50 56 82|
Scale is weakly epimorphic with val: <12 19 28 33 48 51 52 81|
Scale is weakly epimorphic with val: <12 19 28 33 48 51 56 81|
Scale is weakly epimorphic with val: <12 19 28 33 48 52 54 82|
Scale is JI-epimorphic with val: <12 19 28 33 48 52 55 81|
Scale is weakly epimorphic with val: <12 19 28 33 49 49 52 82|
Scale is weakly epimorphic with val: <12 19 28 33 49 49 56 82|
Scale is weakly epimorphic with val: <12 19 28 33 49 50 52 81|
Scale is weakly epimorphic with val: <12 19 28 33 49 50 56 81|
Scale is weakly epimorphic with val: <12 19 28 33 49 51 54 82|
Scale is JI-epimorphic with val: <12 19 28 33 49 51 55 81|
Scale is weakly epimorphic with val: <12 19 28 33 49 53 56 82|
Scale is weakly epimorphic with val: <12 19 28 33 50 50 54 82|
Scale is JI-epimorphic with val: <12 19 28 33 50 50 55 81|
Scale is weakly epimorphic with val: <12 19 28 33 50 52 52 82|
Scale is weakly epimorphic with val: <12 19 28 33 50 52 56 82|
Scale is weakly epimorphic with val: <12 19 28 33 50 53 56 81|
Scale is weakly epimorphic with val: <12 19 28 33 51 51 52 82|
Scale is weakly epimorphic with val: <12 19 28 33 51 51 56 82|
Scale is weakly epimorphic with val: <12 19 28 33 51 52 52 81|
Scale is weakly epimorphic with val: <12 19 28 33 51 52 56 81|
Scale is weakly epimorphic with val: <12 19 28 33 51 53 54 82|
Scale is weakly epimorphic with val: <12 19 28 33 51 53 55 81|
Scale is weakly epimorphic with val: <12 19 28 34 47 49 53 82|
Scale is weakly epimorphic with val: <12 19 28 34 47 49 54 81|
Scale is weakly epimorphic with val: <12 19 28 34 47 49 57 82|
Scale is weakly epimorphic with val: <12 19 28 34 47 51 55 82|
Scale is weakly epimorphic with val: <12 19 28 34 47 52 55 81|
Scale is weakly epimorphic with val: <12 19 28 34 47 53 53 82|
Scale is JI-epimorphic with val: <12 19 28 34 47 53 54 81|
Scale is weakly epimorphic with val: <12 19 28 34 47 53 57 82|
Scale is weakly epimorphic with val: <12 19 28 34 48 50 55 82|
Scale is weakly epimorphic with val: <12 19 28 34 48 51 55 81|
Scale is weakly epimorphic with val: <12 19 28 34 48 52 53 82|
Scale is JI-epimorphic with val: <12 19 28 34 48 52 54 81|
Scale is weakly epimorphic with val: <12 19 28 34 48 52 57 82|
Scale is weakly epimorphic with val: <12 19 28 34 49 49 55 82|
Scale is weakly epimorphic with val: <12 19 28 34 49 50 55 81|
Scale is weakly epimorphic with val: <12 19 28 34 49 51 53 82|
Scale is JI-epimorphic with val: <12 19 28 34 49 51 54 81| = patent
Scale is weakly epimorphic with val: <12 19 28 34 49 51 57 82|
Scale is weakly epimorphic with val: <12 19 28 34 49 53 55 82|
Scale is weakly epimorphic with val: <12 19 28 34 50 50 53 82|
Scale is JI-epimorphic with val: <12 19 28 34 50 50 54 81|
Scale is weakly epimorphic with val: <12 19 28 34 50 50 57 82|
Scale is weakly epimorphic with val: <12 19 28 34 50 52 55 82|
Scale is weakly epimorphic with val: <12 19 28 34 50 53 55 81|
Scale is weakly epimorphic with val: <12 19 28 34 51 51 55 82|
Scale is weakly epimorphic with val: <12 19 28 34 51 52 55 81|
Scale is weakly epimorphic with val: <12 19 28 34 51 53 53 82|
Scale is weakly epimorphic with val: <12 19 28 34 51 53 54 81|
Scale is weakly epimorphic with val: <12 19 28 34 51 53 57 82|
Scale is weakly epimorphic with val: <12 19 28 35 47 49 52 82|
Scale is weakly epimorphic with val: <12 19 28 35 47 49 53 81|
Scale is weakly epimorphic with val: <12 19 28 35 47 49 56 82|
Scale is weakly epimorphic with val: <12 19 28 35 47 49 57 81|
Scale is weakly epimorphic with val: <12 19 28 35 47 51 54 82|
Scale is weakly epimorphic with val: <12 19 28 35 47 52 54 81|
Scale is JI-epimorphic with val: <12 19 28 35 47 53 53 81|
Scale is weakly epimorphic with val: <12 19 28 35 47 53 56 82|
Scale is weakly epimorphic with val: <12 19 28 35 47 53 57 81|
Scale is weakly epimorphic with val: <12 19 28 35 48 50 54 82|
Scale is weakly epimorphic with val: <12 19 28 35 48 51 54 81|
Scale is weakly epimorphic with val: <12 19 28 35 48 52 52 82|
Scale is JI-epimorphic with val: <12 19 28 35 48 52 53 81|
Scale is weakly epimorphic with val: <12 19 28 35 48 52 56 82|
Scale is weakly epimorphic with val: <12 19 28 35 48 52 57 81|
Scale is weakly epimorphic with val: <12 19 28 35 49 49 54 82|
Scale is weakly epimorphic with val: <12 19 28 35 49 50 54 81|
Scale is weakly epimorphic with val: <12 19 28 35 49 51 52 82|
Scale is JI-epimorphic with val: <12 19 28 35 49 51 53 81|
Scale is weakly epimorphic with val: <12 19 28 35 49 51 56 82|
Scale is weakly epimorphic with val: <12 19 28 35 49 51 57 81|
Scale is weakly epimorphic with val: <12 19 28 35 49 53 54 82|
Scale is weakly epimorphic with val: <12 19 28 35 50 50 52 82|
Scale is JI-epimorphic with val: <12 19 28 35 50 50 53 81|
Scale is weakly epimorphic with val: <12 19 28 35 50 50 56 82|
Scale is weakly epimorphic with val: <12 19 28 35 50 50 57 81|
Scale is weakly epimorphic with val: <12 19 28 35 50 52 54 82|
Scale is weakly epimorphic with val: <12 19 28 35 50 53 54 81|
Scale is weakly epimorphic with val: <12 19 28 35 51 51 54 82|
Scale is weakly epimorphic with val: <12 19 28 35 51 52 54 81|
Scale is weakly epimorphic with val: <12 19 28 35 51 53 53 81|
Scale is weakly epimorphic with val: <12 19 28 35 51 53 56 82|
Scale is weakly epimorphic with val: <12 19 28 35 51 53 57 81|
Scale is weakly epimorphic with val: <12 19 28 36 47 49 52 81|
Scale is weakly epimorphic with val: <12 19 28 36 47 49 55 82|
Scale is weakly epimorphic with val: <12 19 28 36 47 49 56 81|
Scale is weakly epimorphic with val: <12 19 28 36 47 51 53 82|
Scale is weakly epimorphic with val: <12 19 28 36 47 51 57 82|
Scale is weakly epimorphic with val: <12 19 28 36 47 52 53 81|
Scale is weakly epimorphic with val: <12 19 28 36 47 52 57 81|
Scale is weakly epimorphic with val: <12 19 28 36 47 53 55 82|
Scale is weakly epimorphic with val: <12 19 28 36 47 53 56 81|
Scale is weakly epimorphic with val: <12 19 28 36 48 50 53 82|
Scale is weakly epimorphic with val: <12 19 28 36 48 50 57 82|
Scale is weakly epimorphic with val: <12 19 28 36 48 51 53 81|
Scale is weakly epimorphic with val: <12 19 28 36 48 51 57 81|
Scale is JI-epimorphic with val: <12 19 28 36 48 52 52 81|
Scale is weakly epimorphic with val: <12 19 28 36 48 52 55 82|
Scale is weakly epimorphic with val: <12 19 28 36 48 52 56 81|
Scale is weakly epimorphic with val: <12 19 28 36 49 49 53 82|
Scale is weakly epimorphic with val: <12 19 28 36 49 49 57 82|
Scale is weakly epimorphic with val: <12 19 28 36 49 50 53 81|
Scale is weakly epimorphic with val: <12 19 28 36 49 50 57 81|
Scale is JI-epimorphic with val: <12 19 28 36 49 51 52 81|
Scale is weakly epimorphic with val: <12 19 28 36 49 51 55 82|
Scale is weakly epimorphic with val: <12 19 28 36 49 51 56 81|
Scale is weakly epimorphic with val: <12 19 28 36 49 53 53 82|
Scale is weakly epimorphic with val: <12 19 28 36 49 53 57 82|
Scale is JI-epimorphic with val: <12 19 28 36 50 50 52 81|
Scale is weakly epimorphic with val: <12 19 28 36 50 50 55 82|
Scale is weakly epimorphic with val: <12 19 28 36 50 50 56 81|
Scale is weakly epimorphic with val: <12 19 28 36 50 52 53 82|
Scale is weakly epimorphic with val: <12 19 28 36 50 52 57 82|
Scale is weakly epimorphic with val: <12 19 28 36 50 53 53 81|
Scale is weakly epimorphic with val: <12 19 28 36 50 53 57 81|
Scale is weakly epimorphic with val: <12 19 28 36 51 51 53 82|
Scale is weakly epimorphic with val: <12 19 28 36 51 51 57 82|
Scale is weakly epimorphic with val: <12 19 28 36 51 52 53 81|
Scale is weakly epimorphic with val: <12 19 28 36 51 52 57 81|
Scale is weakly epimorphic with val: <12 19 28 36 51 53 55 82|
Scale is weakly epimorphic with val: <12 19 28 36 51 53 56 81|
Scale is weakly epimorphic with val: <12 19 29 32 47 52 57 81|
Scale is weakly epimorphic with val: <12 19 29 32 48 51 57 81|
Scale is weakly epimorphic with val: <12 19 29 32 49 50 57 81|
Scale is weakly epimorphic with val: <12 19 29 33 47 52 56 81|
Scale is weakly epimorphic with val: <12 19 29 33 48 51 56 81|
Scale is weakly epimorphic with val: <12 19 29 33 49 50 56 81|
Scale is weakly epimorphic with val: <12 19 29 34 47 52 55 81|
Scale is weakly epimorphic with val: <12 19 29 34 48 51 55 81|
Scale is weakly epimorphic with val: <12 19 29 34 49 50 55 81|
Scale is weakly epimorphic with val: <12 19 29 35 47 49 57 81|
Scale is weakly epimorphic with val: <12 19 29 35 47 52 54 81|
Scale is weakly epimorphic with val: <12 19 29 35 48 51 54 81|
Scale is weakly epimorphic with val: <12 19 29 35 49 50 54 81|
Scale is weakly epimorphic with val: <12 19 29 36 47 49 56 81|
Scale is weakly epimorphic with val: <12 19 29 36 47 52 53 81|
Scale is weakly epimorphic with val: <12 19 29 36 48 51 53 81|
Scale is weakly epimorphic with val: <12 19 29 36 49 50 53 81|
Scale is weakly epimorphic with val: <12 20 28 32 47 50 55 82|
Scale is weakly epimorphic with val: <12 20 28 32 47 51 55 81|
Scale is weakly epimorphic with val: <12 20 28 32 47 52 53 82|
Scale is weakly epimorphic with val: <12 20 28 32 47 52 54 81|
Scale is weakly epimorphic with val: <12 20 28 32 47 52 57 82|
Scale is weakly epimorphic with val: <12 20 28 32 48 49 55 82|
Scale is weakly epimorphic with val: <12 20 28 32 48 50 55 81|
Scale is weakly epimorphic with val: <12 20 28 32 48 51 53 82|
Scale is weakly epimorphic with val: <12 20 28 32 48 51 54 81|
Scale is weakly epimorphic with val: <12 20 28 32 48 51 57 82|
Scale is weakly epimorphic with val: <12 20 28 32 48 53 55 82|
Scale is weakly epimorphic with val: <12 20 28 32 49 49 55 81|
Scale is weakly epimorphic with val: <12 20 28 32 49 50 53 82|
Scale is weakly epimorphic with val: <12 20 28 32 49 50 54 81|
Scale is weakly epimorphic with val: <12 20 28 32 49 50 57 82|
Scale is weakly epimorphic with val: <12 20 28 32 49 52 55 82|
Scale is weakly epimorphic with val: <12 20 28 32 49 53 55 81|
Scale is weakly epimorphic with val: <12 20 28 32 50 51 55 82|
Scale is weakly epimorphic with val: <12 20 28 32 50 52 55 81|
Scale is weakly epimorphic with val: <12 20 28 32 50 53 53 82|
Scale is weakly epimorphic with val: <12 20 28 32 50 53 54 81|
Scale is weakly epimorphic with val: <12 20 28 32 50 53 57 82|
Scale is weakly epimorphic with val: <12 20 28 32 51 51 55 81|
Scale is weakly epimorphic with val: <12 20 28 32 51 52 53 82|
Scale is weakly epimorphic with val: <12 20 28 32 51 52 54 81|
Scale is weakly epimorphic with val: <12 20 28 32 51 52 57 82|
Scale is weakly epimorphic with val: <12 20 28 33 47 50 54 82|
Scale is weakly epimorphic with val: <12 20 28 33 47 51 54 81|
Scale is weakly epimorphic with val: <12 20 28 33 47 52 52 82|
Scale is weakly epimorphic with val: <12 20 28 33 47 52 53 81|
Scale is weakly epimorphic with val: <12 20 28 33 47 52 56 82|
Scale is weakly epimorphic with val: <12 20 28 33 47 52 57 81|
Scale is weakly epimorphic with val: <12 20 28 33 48 49 54 82|
Scale is weakly epimorphic with val: <12 20 28 33 48 50 54 81|
Scale is weakly epimorphic with val: <12 20 28 33 48 51 52 82|
Scale is weakly epimorphic with val: <12 20 28 33 48 51 53 81|
Scale is weakly epimorphic with val: <12 20 28 33 48 51 56 82|
Scale is weakly epimorphic with val: <12 20 28 33 48 51 57 81|
Scale is weakly epimorphic with val: <12 20 28 33 48 53 54 82|
Scale is weakly epimorphic with val: <12 20 28 33 49 49 54 81|
Scale is weakly epimorphic with val: <12 20 28 33 49 50 52 82|
Scale is weakly epimorphic with val: <12 20 28 33 49 50 53 81|
Scale is weakly epimorphic with val: <12 20 28 33 49 50 56 82|
Scale is weakly epimorphic with val: <12 20 28 33 49 50 57 81|
Scale is weakly epimorphic with val: <12 20 28 33 49 52 54 82|
Scale is weakly epimorphic with val: <12 20 28 33 49 53 54 81|
Scale is weakly epimorphic with val: <12 20 28 33 50 51 54 82|
Scale is weakly epimorphic with val: <12 20 28 33 50 52 54 81|
Scale is weakly epimorphic with val: <12 20 28 33 50 53 53 81|
Scale is weakly epimorphic with val: <12 20 28 33 50 53 56 82|
Scale is JI-epimorphic with val: <12 20 28 33 50 53 57 81|
Scale is weakly epimorphic with val: <12 20 28 33 51 51 54 81|
Scale is weakly epimorphic with val: <12 20 28 33 51 52 52 82|
Scale is weakly epimorphic with val: <12 20 28 33 51 52 53 81|
Scale is weakly epimorphic with val: <12 20 28 33 51 52 56 82|
Scale is JI-epimorphic with val: <12 20 28 33 51 52 57 81|
Scale is weakly epimorphic with val: <12 20 28 34 47 50 53 82|
Scale is weakly epimorphic with val: <12 20 28 34 47 50 57 82|
Scale is weakly epimorphic with val: <12 20 28 34 47 51 53 81|
Scale is weakly epimorphic with val: <12 20 28 34 47 51 57 81|
Scale is weakly epimorphic with val: <12 20 28 34 47 52 52 81|
Scale is weakly epimorphic with val: <12 20 28 34 47 52 55 82|
Scale is weakly epimorphic with val: <12 20 28 34 47 52 56 81|
Scale is weakly epimorphic with val: <12 20 28 34 48 49 53 82|
Scale is weakly epimorphic with val: <12 20 28 34 48 49 57 82|
Scale is weakly epimorphic with val: <12 20 28 34 48 50 53 81|
Scale is weakly epimorphic with val: <12 20 28 34 48 50 57 81|
Scale is weakly epimorphic with val: <12 20 28 34 48 51 52 81|
Scale is weakly epimorphic with val: <12 20 28 34 48 51 55 82|
Scale is weakly epimorphic with val: <12 20 28 34 48 51 56 81|
Scale is weakly epimorphic with val: <12 20 28 34 48 53 53 82|
Scale is weakly epimorphic with val: <12 20 28 34 48 53 57 82|
Scale is weakly epimorphic with val: <12 20 28 34 49 49 53 81|
Scale is weakly epimorphic with val: <12 20 28 34 49 49 57 81|
Scale is weakly epimorphic with val: <12 20 28 34 49 50 52 81|
Scale is weakly epimorphic with val: <12 20 28 34 49 50 55 82|
Scale is weakly epimorphic with val: <12 20 28 34 49 50 56 81|
Scale is weakly epimorphic with val: <12 20 28 34 49 52 53 82|
Scale is weakly epimorphic with val: <12 20 28 34 49 52 57 82|
Scale is weakly epimorphic with val: <12 20 28 34 49 53 53 81|
Scale is weakly epimorphic with val: <12 20 28 34 49 53 57 81|
Scale is weakly epimorphic with val: <12 20 28 34 50 51 53 82|
Scale is weakly epimorphic with val: <12 20 28 34 50 51 57 82|
Scale is weakly epimorphic with val: <12 20 28 34 50 52 53 81|
Scale is weakly epimorphic with val: <12 20 28 34 50 52 57 81|
Scale is weakly epimorphic with val: <12 20 28 34 50 53 55 82|
Scale is JI-epimorphic with val: <12 20 28 34 50 53 56 81|
Scale is weakly epimorphic with val: <12 20 28 34 51 51 53 81|
Scale is weakly epimorphic with val: <12 20 28 34 51 51 57 81|
Scale is weakly epimorphic with val: <12 20 28 34 51 52 52 81|
Scale is weakly epimorphic with val: <12 20 28 34 51 52 55 82|
Scale is JI-epimorphic with val: <12 20 28 34 51 52 56 81|
Scale is weakly epimorphic with val: <12 20 28 35 47 50 52 82|
Scale is weakly epimorphic with val: <12 20 28 35 47 50 56 82|
Scale is weakly epimorphic with val: <12 20 28 35 47 51 52 81|
Scale is weakly epimorphic with val: <12 20 28 35 47 51 56 81|
Scale is weakly epimorphic with val: <12 20 28 35 47 52 54 82|
Scale is weakly epimorphic with val: <12 20 28 35 47 52 55 81|
Scale is weakly epimorphic with val: <12 20 28 35 48 49 52 82|
Scale is weakly epimorphic with val: <12 20 28 35 48 49 56 82|
Scale is weakly epimorphic with val: <12 20 28 35 48 50 52 81|
Scale is weakly epimorphic with val: <12 20 28 35 48 50 56 81|
Scale is weakly epimorphic with val: <12 20 28 35 48 51 54 82|
Scale is weakly epimorphic with val: <12 20 28 35 48 51 55 81|
Scale is weakly epimorphic with val: <12 20 28 35 48 53 56 82|
Scale is weakly epimorphic with val: <12 20 28 35 49 49 52 81|
Scale is weakly epimorphic with val: <12 20 28 35 49 49 56 81|
Scale is weakly epimorphic with val: <12 20 28 35 49 50 54 82|
Scale is weakly epimorphic with val: <12 20 28 35 49 50 55 81|
Scale is weakly epimorphic with val: <12 20 28 35 49 52 52 82|
Scale is weakly epimorphic with val: <12 20 28 35 49 52 56 82|
Scale is weakly epimorphic with val: <12 20 28 35 49 53 56 81|
Scale is weakly epimorphic with val: <12 20 28 35 50 51 52 82|
Scale is weakly epimorphic with val: <12 20 28 35 50 51 56 82|
Scale is weakly epimorphic with val: <12 20 28 35 50 52 52 81|
Scale is weakly epimorphic with val: <12 20 28 35 50 52 56 81|
Scale is weakly epimorphic with val: <12 20 28 35 50 53 54 82|
Scale is JI-epimorphic with val: <12 20 28 35 50 53 55 81|
Scale is weakly epimorphic with val: <12 20 28 35 51 51 52 81|
Scale is weakly epimorphic with val: <12 20 28 35 51 51 56 81|
Scale is weakly epimorphic with val: <12 20 28 35 51 52 54 82|
Scale is JI-epimorphic with val: <12 20 28 35 51 52 55 81|
Scale is weakly epimorphic with val: <12 20 28 36 47 50 55 82|
Scale is weakly epimorphic with val: <12 20 28 36 47 51 55 81|
Scale is weakly epimorphic with val: <12 20 28 36 47 52 53 82|
Scale is weakly epimorphic with val: <12 20 28 36 47 52 54 81|
Scale is weakly epimorphic with val: <12 20 28 36 47 52 57 82|
Scale is weakly epimorphic with val: <12 20 28 36 48 49 55 82|
Scale is weakly epimorphic with val: <12 20 28 36 48 50 55 81|
Scale is weakly epimorphic with val: <12 20 28 36 48 51 53 82|
Scale is weakly epimorphic with val: <12 20 28 36 48 51 54 81|
Scale is weakly epimorphic with val: <12 20 28 36 48 51 57 82|
Scale is weakly epimorphic with val: <12 20 28 36 48 53 55 82|
Scale is weakly epimorphic with val: <12 20 28 36 49 49 55 81|
Scale is weakly epimorphic with val: <12 20 28 36 49 50 53 82|
Scale is weakly epimorphic with val: <12 20 28 36 49 50 54 81|
Scale is weakly epimorphic with val: <12 20 28 36 49 50 57 82|
Scale is weakly epimorphic with val: <12 20 28 36 49 52 55 82|
Scale is weakly epimorphic with val: <12 20 28 36 49 53 55 81|
Scale is weakly epimorphic with val: <12 20 28 36 50 51 55 82|
Scale is weakly epimorphic with val: <12 20 28 36 50 52 55 81|
Scale is weakly epimorphic with val: <12 20 28 36 50 53 53 82|
Scale is JI-epimorphic with val: <12 20 28 36 50 53 54 81|
Scale is weakly epimorphic with val: <12 20 28 36 50 53 57 82|
Scale is weakly epimorphic with val: <12 20 28 36 51 51 55 81|
Scale is weakly epimorphic with val: <12 20 28 36 51 52 53 82|
Scale is JI-epimorphic with val: <12 20 28 36 51 52 54 81|
Scale is weakly epimorphic with val: <12 20 28 36 51 52 57 82|
Scale is weakly epimorphic with val: <12 20 29 34 49 53 57 81|
Scale is weakly epimorphic with val: <12 20 29 34 50 52 57 81|
Scale is weakly epimorphic with val: <12 20 29 34 51 51 57 81|
Scale is weakly epimorphic with val: <12 20 29 35 49 53 56 81|
Scale is weakly epimorphic with val: <12 20 29 35 50 52 56 81|
Scale is weakly epimorphic with val: <12 20 29 35 51 51 56 81|
Scale is weakly epimorphic with val: <12 20 29 36 49 53 55 81|
Scale is weakly epimorphic with val: <12 20 29 36 50 52 55 81|
Scale is weakly epimorphic with val: <12 20 29 36 51 51 55 81|
FIT/MODE
 12:  1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 14.5836 c. M:-27.3726 c.  Twelve-tone Chromatic (1/11-comma)
 19:  1 2 2 1 2 1 2 1 2 2 1 2   P M ME   SD: 7.8493 c. M: 14.7327 c.  Meantone Chromatic (1/3-comma)
 31:  2 3 3 2 3 2 3 2 3 3 2 3  SP M ME   SD: 0.8345 c. M:-1.5661 c.  Meantone Chromatic (53/220-comma)
 112: 7 11 11 7 11 7 11 7 11 11 7 11  SP M DE   SD: 0.6388 c. M: 1.1989 c.  Meantone Chromatic (7/27-comma), Meanpop-12
 143: 9 14 14 9 14 9 14 9 14 14 9 14  SP M DE   SD: 0.3196 c. M: 0.5995 c.  Meantone Chromatic (19/75-comma)
 174: 11 17 17 11 17 11 17 11 17 17 11 17  SP M DE   SD: 0.1146 c. M: 0.2136 c.  Meantone Chromatic (1/4-comma), Milliet de Chales-12
 205: 13 20 20 13 20 13 20 13 20 20 13 20  SP M DE   SD: 0.0324 c. M:-0.0598 c. 
 584: 37 57 57 37 57 37 57 37 57 57 37 57  SP M DE   SD: 0.0186 c. M:-0.0344 c. 
 789: 50 77 77 50 77 50 77 50 77 77 50 77  SP M DE   SD: 0.0134 c. M:-0.0265 c. 
 994: 63 97 97 63 97 63 97 63 97 97 63 97  SP M DE   SD: 0.0140 c. M:-0.0303 c. 
 1783: 113 174 174 113 174 113 174 113 174 174 113 174  SP M DE   SD: 0.0133 c. M:-0.0270 c. 
FIT/HARMONIC
 1 x x x x x x x x x x x 2  S SD: 0.0000 cents
 2 x x x x x x 3 x x x x 4  S SD: 2.7008 cents
 3 x x x x 4 x x x 5 x x 6  S SD: 2.5385 cents
 4 x x x 5 x x 6 x x 7 x 8  S SD: 9.5997 cents
 5 x x 6 x x 7 x 8 x 9 x 10  S SD: 8.5788 cents
 6 x x 7 x 8 x 9 x 10 x 11:12  S SD: 9.2654 cents
 7 x 8 x 9 x 10 x 11:12 x 13:14  S SD: 12.2670 cents
 8 x 9 x 10 x 11:12 x 13:14:15:16  S SD: 8.6909 cents
 9 x 10:11 x 12:13 x 14:15:16:17:18  S SD: 8.1092 cents
 10 x 11:12 x 13:14:15:16:17:18:19:20  S SD: 8.1986 cents
 11 x 12:13:14:15 x 16:17:18:20:21:22  S SD: 10.2524 cents
 12 x 13:14:15:16:17:18:19:20:21:22:24  S SD: 8.4280 cents
 13:14:15 x 16:17:18:19:20:22:23:24:26  S SD: 9.8595 cents
 14:15:16:17:18:19:20:21:22:23:25:26:28    SD: 8.1811 cents
 15:16:17:18:19:20:21:22:23:25:27:28:30    SD: 5.7471 cents
 16:17:18:19:20:21:22:24:25:27:29:30:32    SD: 5.1413 cents
 20:21:22:24:25:27:28:30:31:33:36:37:40    SD: 4.0286 cents
 24:25:27:29:30:32:34:36:38:40:43:45:48    SD: 3.3850 cents
 25:26:28:30:31:33:35:37:39:42:45:47:50    SD: 3.1613 cents
 32:33:36:38:40:43:45:48:50:54:57:60:64    SD: 3.0623 cents
 35:37:39:42:44:47:49:52:55:59:63:65:70    SD: 2.9930 cents
 36:38:40:43:45:48:50:54:56:60:64:67:72    SD: 2.4496 cents
 40:42:45:48:50:54:56:60:63:67:72:75:80    SD: 2.4432 cents
 41:43:46:49:51:55:57:61:64:69:73:77:82    SD: 2.0472 cents
 45:47:50:54:56:60:63:67:70:75:80:84:90    SD: 1.8789 cents
 48:50:54:57:60:64:67:72:75:80:86:90:96    SD: 1.7377 cents
 51:53:57:61:64:68:71:76:80:85:91:95:102    SD: 1.6130 cents
 60:63:67:72:75:80:84:90:94:100:107:112:120    SD: 1.3335 cents
 67:70:75:80:84:90:94:100:105:112:120:125:134    SD: 1.1638 cents
 68:71:76:81:85:91:95:102:106:114:122:127:136    SD: 1.0347 cents
 83:87:93:99:104:111:116:124:130:139:148:155:166    SD: 1.0153 cents
 85:89:95:102:106:114:119:127:133:142:152:159:170    SD: 0.8439 cents
 91:95:102:109:114:122:127:136:142:152:163:170:182    SD: 0.7388 cents
 113:118:126:135:141:151:158:169:177:189:202:211:226    SD: 0.6665 cents
 128:134:143:153:160:171:179:191:200:214:229:239:256    SD: 0.5003 cents
 153:160:171:183:191:205:214:229:239:256:274:286:306    SD: 0.4373 cents
 204:213:228:244:255:273:285:305:319:341:365:381:408    SD: 0.2289 cents
 332:347:371:397:415:444:464:496:519:555:594:621:664    SD: 0.2082 cents
 397:415:444:475:496:531:555:594:620:664:710:742:794    SD: 0.1767 cents
 448:468:501:536:560:599:626:670:700:749:801:837:896    SD: 0.1258 cents
 551:576:616:659:689:737:770:824:861:921:986:1030:1102    SD: 0.1087 cents