Scala analysis: 657_T64

  0:          1/1               0.000000 unison, perfect prime
  1:        158.333 cents     158.333330
  2:        316.667 cents     316.666670
  3:        500.000 cents     500.000000

  0:        183.3333 cents    183.3333
  1:        158.3333 cents    158.3333
  2:        158.3333 cents    158.3333
  3:        183.3333 cents    183.3333

Interval class, Number of incidences, Size:
  1:   2 158.33333 cents
  1:   1 183.33333 cents
  2:   1 316.66667 cents
  2:   2 341.66667 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 2.00000 = 2

        1     2     3    
 0.0  : 158.3 316.7 500.0
 158.3: 158.3 341.7 500.0
 316.7: 183.3 341.7 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  158.3333  .. 183.3333 cents      25.00000 cents                     158.33333 cents
  2:  316.6667  .. 341.6667 cents      25.00000 cents                     133.33334 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 158.33333 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 183.33333 cents
Average / Smallest step             : 1.052632
Largest / Average step              : 1.100000
Largest / Smallest step             : 1.157895
Median interval of one step         : 158.33333 cents, amount: 2
Most common interval of one step    : 158.33333 cents, amount: 2
Least squares average step          : 163.69048 cents, oct.:  491.07143 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 25.00000 cents and 133.33333 cents, ratio: 5.333333
  generators: 1 of 158.33333 cents and 341.66667 cents
ET pair of linear temperament       : 38&120
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 60-tone equal temperament with octave  500.000 cents
  degrees: 19 38 60
  generators: 19 and 41
Number of contiguous 1-step segments: 0
Step pattern alph. order: AAB
Step pattern size order : SSL
Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 133.33334 cents
Scale diversity                     : 1.271008
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.900000
Rothenberg efficiency               : 0.888889   redundancy: 0.111111
Efficiency x scale size             : 2.666667
Number of different interval sizes  : 4 = 2.00000 / class
Number of one step interval sizes   : 2
Highest interval variety            : 2
Mean interval variety               : 2.00000 = 2
Median interval variety             : 2
Lowest interval variety             : 2
Smallest interval difference        : 25.00000 cents
Most common intervals               : 158.33333 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
Best major thirds form a closed circle
Best minor thirds form a closed circle
Steps are increasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited transpositions with margin 25.0000 cents:
 1 2
Limited inverse transpositions      :
 2
Inversional symmetry on degrees     :
 1
Inversional symmetry on intervals   :
 2-3
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 10.7583 c. M:-16.6667 c. 
 13:  4 4 5  SP M ME S SD: 5.7929 c. M: 8.9744 c. 
 16:  5 5 6  SP M ME S SD: 2.6896 c. M: 4.1667 c. 
 19:  6 6 7  SP M ME S SD: 0.5662 c. M: 0.8772 c. 
 41:  13 13 15  SP M DE S SD: 0.2624 c. M:-0.4065 c. 
 60:  19 19 22  SP M DE S SD: 0.0000 c. M:-0.0000 c. 

 1 x x 2  S SD: 700.0000 cents
 2 x x 3  S SD: 201.9550 cents
 3 x x 4  S SD: 1.9550 cents
 4 x 5 x  S SD: 69.6470 cents
 5 x 6:7  S SD: 41.2593 cents
 6 x 7:8  S SD: 24.9171 cents
 7:8 x 9  S SD: 48.7849 cents
 8:9:10:11  H SD: 32.5943 cents
 9:10:11:12  H SD: 13.0309 cents
 19:21:23:25    SD: 10.7548 cents
 20:22:24:27  S SD: 6.8945 cents
 21:23:25:28    SD: 4.9907 cents
 30:33:36:40  S SD: 2.3422 cents
 54:59:65:72    SD: 2.3013 cents
 74:81:89:99    SD: 1.7246 cents
 75:82:90:100    SD: 1.4803 cents
 84:92:101:112    SD: 1.0707 cents
 104:114:125:139    SD: 0.9584 cents
 105:115:126:140    SD: 0.7873 cents
 125:137:150:167    SD: 0.6188 cents
 179:196:215:239    SD: 0.4882 cents
 209:229:251:279    SD: 0.1305 cents