Scala analysis: 709_S18

  0:          1/1               0.000000 unison, perfect prime
  1:        124.511 cents     124.511360
  2:        249.023 cents     249.022720
  3:        498.046 cents     498.045910

  0:        249.0232 cents    249.0232
  1:        124.5114 cents    124.5114
  2:        124.5114 cents    124.5114
  3:        249.0232 cents    249.0232

Interval class, Number of incidences, Size:
  1:   2 124.51136 cents
  1:   1 249.02319 cents
  2:   1 249.02272 cents
  2:   2 373.53455 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  : 124.5 249.0 498.0
 124.5: 124.5 373.5 498.0
 249.0: 249.0 373.5 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  124.5114  .. 249.0232 cents      124.51183 cents                    124.51136 cents
  2:  249.0227  .. 373.5345 cents      124.51183 cents                   -0.00047 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 124.51136 cents, class 1
Average step (divided formal octave): 166.0153 cents
Largest one step interval           : 249.02319 cents
Average / Smallest step             : 1.333335
Largest / Average step              : 1.500001
Largest / Smallest step             : 2.000004
Median interval of one step         : 124.51136 cents, amount: 2
Most common interval of one step    : 124.51136 cents, amount: 2
Least squares average step          : 151.19247 cents, oct.:  453.57740 cents
Scale is not proper
Scale has Myhill's property
  chromas: 124.51183 cents and 0.00047 cents, ratio: 264918.787248
  generators: 1 of 124.51136 cents and 373.53455 cents
ET pair of linear temperament       : 2119338&2119346
Scale is distributional even
Scale is a mode of a 4-tone equal temperament with octave  498.046 cents
  degrees: 1 2 4
  generators: 1 and 3
Number of contiguous 1-step segments: 1
Scale is a Winograd/Gamer deep scale
Scale is an Agmon diatonic system
Step pattern alph. order: AAB
Step pattern size order : SSL
Interval vector is [ 2 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 0.00047 cents
Scale diversity                     : 1.096816
Lumma stability                     : 0.500000
Lumma impropriety factor            : 0.000001
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        : 0.00047 cents
Most common intervals               : 124.51136 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
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      :
 2
Inversional symmetry on degrees     :
 1
Inversional symmetry on intervals   :
 2-3
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 53.5814 c. M:-83.0079 c. 
  4:  1 1 2   P M ME S SD: 0.0002 c. M:-0.0002 c. 

 1 x x 2  S SD: 701.9541 cents
 2 x x 3  S SD: 203.9091 cents
 3 x x 4  S SD: 0.0009 cents
 4 x x 5  S SD: 111.7322 cents
 5 x 6:7  S SD: 53.7880 cents
 6 x 7:8  S SD: 8.9241 cents
 7 x 8:9  S SD: 32.7214 cents
 8 x 9:11    SD: 34.9037 cents
 9:10 x 12  S SD: 28.9462 cents
 11:12:13:15    SD: 20.5781 cents
 12:13:14:16  S SD: 7.5739 cents
 25:27:29:33    SD: 7.0060 cents
 26:28:30:35  S SD: 5.6805 cents
 27:29:31:36    SD: 3.2948 cents
 39:42:45:52    SD: 1.3326 cents
 96:103:111:128    SD: 1.1783 cents
 123:132:142:164    SD: 0.7606 cents
 135:145:156:180    SD: 0.5033 cents
 162:174:187:216    SD: 0.3271 cents
 174:187:201:232    SD: 0.2478 cents
 201:216:232:268    SD: 0.2378 cents
 336:361:388:448    SD: 0.0939 cents
 375:403:433:500    SD: 0.0546 cents