Scala analysis: 656_T63

  0:          1/1               0.000000 unison, perfect prime
  1:        133.333 cents     133.333330
  2:        316.667 cents     316.666670
  3:        500.000 cents     500.000000

  0:        183.3333 cents    183.3333
  1:        133.3333 cents    133.3333
  2:        183.3333 cents    183.3333
  3:        183.3333 cents    183.3333

Interval class, Number of incidences, Size:
  1:   1 133.33333 cents
  1:   2 183.33334 cents
  2:   2 316.66667 cents
  2:   1 366.66667 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  : 133.3 316.7 500.0
 133.3: 183.3 366.7 500.0
 316.7: 183.3 316.7 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  133.3333  .. 183.3333 cents      50.00001 cents                     133.33333 cents
  2:  316.6667  .. 366.6667 cents      50.00000 cents                     133.33333 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 133.33333 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 183.33334 cents
Average / Smallest step             : 1.250000
Largest / Average step              : 1.100000
Largest / Smallest step             : 1.375000
Median interval of one step         : 183.33334 cents, amount: 2
Most common interval of one step    : 183.33334 cents, amount: 2
Least squares average step          : 161.90476 cents, oct.:  485.71429 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 50.00001 cents and 83.33332 cents, ratio: 1.666666
  generators: 183.33334 cents and 2 of 316.66666 cents
ET pair of linear temperament       : 22&38
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 30-tone equal temperament with octave  500.000 cents
  degrees: 8 19 30
  generators: 11 and 19
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABB
Step pattern size order : SLL
Interval vector is [ 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 133.33333 cents
Scale diversity                     : 1.217449
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.800000
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        : 50.00000 cents
Most common intervals               : 183.33334 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 inverse transpositions      :
 1
Inversional symmetry on degrees     :
 2
Inversional symmetry on intervals   :
 0-1
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 21.5166 c. M:-33.3333 c. 
  5:  1 2 2  SP M ME S SD: 21.5166 c. M: 33.3333 c. 
  7:  2 2 3  SP M ME S SD: 18.6972 c. M: 30.9524 c. 
  8:  2 3 3  SP M ME S SD: 5.3791 c. M: 8.3333 c. 
 11:  3 4 4  SP M ME S SD: 1.9561 c. M:-3.0303 c. 
 19:  5 7 7  SP M DE S SD: 1.1325 c. M: 1.7544 c. 
 30:  8 11 11  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 x 8:9  S SD: 53.6727 cents
 8:9:10:11  H SD: 37.2160 cents
 9:10:11:12  H SD: 19.3125 cents
 10:11:12:13  H SD: 18.5606 cents
 11:12:13:15    SD: 16.3933 cents
 14:15:17:19    SD: 12.4486 cents
 15:16:18:20  S SD: 7.2382 cents
 24:26:29:32    SD: 4.1001 cents
 36:39:43:48    SD: 3.5487 cents
 39:42:47:52    SD: 2.7807 cents
 50:54:60:67    SD: 2.2528 cents
 60:65:72:80    SD: 1.8951 cents
 74:80:89:99    SD: 1.6995 cents
 75:81:90:100    SD: 0.7366 cents
 125:135:150:167    SD: 0.6076 cents
 149:161:179:199    SD: 0.5067 cents
 200:216:240:267    SD: 0.3502 cents
 224:242:269:299    SD: 0.1815 cents
 424:458:509:566    SD: 0.1370 cents
 463:500:556:618    SD: 0.1110 cents
 588:635:706:785    SD: 0.1092 cents