Scala analysis: 695_S4

  0:          1/1               0.000000 unison, perfect prime
  1:         66.406 cents      66.406000
  2:        132.812 cents     132.812000
  3:          4/3             498.044999 perfect fourth

  0:        365.2330 cents    365.2330
  1:         66.4060 cents     66.4060
  2:         66.4060 cents     66.4060
  3:        365.2330 cents    365.2330

Interval class, Number of incidences, Size:
  1:   2 66.40600 cents
  1:   1 365.23300 cents
  2:   1 132.81200 cents
  2:   2 431.63900 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  : 66.4  132.8 498.0
 66.4 : 66.4  431.6 498.0
 132.8: 365.2 431.6 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  66.4060   .. 365.2330 cents      298.82700 cents                    66.40600 cents
  2:  132.8120  .. 431.6390 cents      298.82700 cents                   -232.42100 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 66.40600 cents, class 1
Average step (divided formal octave): 166.0150 cents
Largest one step interval           : 365.23300 cents
Average / Smallest step             : 2.500000
Largest / Average step              : 2.200000
Largest / Smallest step             : 5.500000
Median interval of one step         : 66.40600 cents, amount: 2
Most common interval of one step    : 66.40600 cents, amount: 2
Least squares average step          : 130.44036 cents, oct.:  391.32107 cents
Scale is not proper
Scale has Myhill's property
  chromas: 298.82700 cents and 232.42100 cents, ratio: 1.285714
  generators: 1 of 66.40600 cents and 431.63900 cents
ET pair of linear temperament       : 30&575517044
Scale is distributional even
Scale is a mode of a 15-tone equal temperament with octave  4/3
  degrees: 2 4 15
  generators: 2 and 13
Number of contiguous 1-step segments: 0
Step pattern alph. order: AAB
Step pattern size order : SSL
Interval vector is [ 0 2 0 1 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 66.40600 cents
Scale diversity                     : 0.677466
Lumma stability                     : 0.266667
Lumma impropriety factor            : 0.466667
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        : 66.40600 cents
Most common intervals               : 66.40600 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Steps are increasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions      :
 2
Inversional symmetry on degrees     :
 1
Inversional symmetry on intervals   :
 2-3
-- Rational properties --
Prime limit                         : 3 (not all pitches rational)

  3:  0 1 2   N G T3   SD: 42.8649 c. M: 66.4060 c. 
  4:  0 1 3   N G T3   SD: 38.6379 c. M: 66.4060 c. 
  5:  1 0 4   N G T3   SD: 27.1101 c. M: 33.2030 c. 
  6:  1 1 4   N M DE S SD: 21.4324 c. M:-33.2030 c. 
  7:  1 1 5   N M DE S SD: 6.1236 c. M:-9.4866 c. 
  8:  1 1 6   N M DE S SD: 5.3581 c. M: 8.3008 c. 
 15:  2 2 11   N M DE S SD: 0.0000 c. M: 0.0000 c. 

 1 x x 2  S SD: 701.9550 cents
 2 x x 3  S SD: 203.9100 cents
 3 x x 4  S SD: 0.0000 cents
 4 x x 5  S SD: 111.7313 cents
 5 x x 7    SD: 84.4672 cents
 6 x 7:8  S SD: 67.0295 cents
 7 x 8:9  S SD: 58.3934 cents
 8 x 9:11    SD: 44.4211 cents
 9 x 10:12  S SD: 24.7959 cents
 10 x 11:13    SD: 27.1915 cents
 11 x 12:15  S SD: 21.3974 cents
 12 x 13:16    SD: 2.8803 cents
 13 x 14:17    SD: 16.9595 cents
 14 x 15:19    SD: 16.7158 cents
 15 x 16:20  S SD: 10.5404 cents
 16 x 17:21    SD: 19.4892 cents
 17:18 x 23    SD: 20.6045 cents
 18:19 x 24    SD: 13.5985 cents
 21:22:23:28    SD: 9.4802 cents
 23:24:25:31    SD: 7.7202 cents
 24:25:26:32    SD: 2.3895 cents
 51:53:55:68    SD: 0.6997 cents
 75:78:81:100    SD: 0.5179 cents
 126:131:136:168    SD: 0.3777 cents
 363:377:392:484    SD: 0.3087 cents
 387:402:418:516    SD: 0.2741 cents
 414:430:447:552    SD: 0.2533 cents
 438:455:473:584    SD: 0.1860 cents
 489:508:528:652    SD: 0.1381 cents
 513:533:554:684    SD: 0.1192 cents
 564:586:609:752    SD: 0.0601 cents