Scala analysis: 702_S11

  0:          1/1               0.000000 unison, perfect prime
  1:        101.955 cents     101.955000
  2:          9/8             203.910002 major whole tone
  3:          4/3             498.044999 perfect fourth

  0:         32/27            294.1350 Pythagorean minor third
  1:        101.9550 cents    101.9550
  2:        101.9550 cents    101.9550
  3:         32/27            294.1350 Pythagorean minor third

Interval class, Number of incidences, Size:
  1:   2 101.95500 cents
  1:   1 32/27               294.135 cents  Pythagorean minor third
  2:   1 9/8                 203.910 cents  major whole tone
  2:   2 396.09000 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  : 102.0 203.9 498.0
 102.0: 102.0 396.1 498.0
 203.9: 294.1 396.1 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  101.9550  .. 294.1350 cents      192.18000 cents                    101.95500 cents
  2:  203.9100  .. 396.0900 cents      192.18000 cents                    243/256,-90.2250 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 101.95500 cents, class 1
Average step (divided formal octave): 166.0150 cents
Largest one step interval           : 32/27, 294.1350 cents
Average / Smallest step             : 1.628316
Largest / Average step              : 1.771737
Largest / Smallest step             : 2.884949
Median interval of one step         : 101.95500 cents, amount: 2
Most common interval of one step    : 101.95500 cents, amount: 2
Least squares average step          : 143.13643 cents, oct.:  429.40929 cents
Scale is not proper
Scale has Myhill's property
  chromas: 192.18000 cents and 90.22500 cents, ratio: 2.130008
  generators: 1 of 101.95500 cents and 396.09000 cents
ET pair of linear temperament       : 78&88
Scale is distributional even
Scale is a mode of a 425-tone equal temperament with octave  4/3
  degrees: 87 174 425
  generators: 87 and 338
Number of contiguous 1-step segments: 0
Step pattern alph. order: AAB
Step pattern size order : SSL
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 90.22500 cents
Scale diversity                     : 1.086458
Lumma stability                     : 0.409421
Lumma impropriety factor            : 0.181158
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        : 256/243, 90.2250 cents
Most common intervals               : 101.95500 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: 62.7982 c. M: 101.9550 c. 
  4:  1 1 2   P M ME S SD: 29.1200 c. M:-45.1125 c. 
  5:  1 1 3   N M DE S SD: 3.0287 c. M: 4.6920 c. 
 24:  5 5 14   N M DE S SD: 2.3294 c. M:-3.6087 c. 
 29:  6 6 17   N M DE S SD: 1.4056 c. M:-2.1776 c. 
 34:  7 7 20   N M DE S SD: 0.7535 c. M:-1.1674 c. 
 39:  8 8 23   N M DE S SD: 0.2686 c. M:-0.4162 c. 
 44:  9 9 26   N M DE S SD: 0.1061 c. M: 0.1643 c. 
 83:  17 17 49   N M DE S SD: 0.0700 c. M:-0.1084 c. 
 127: 26 26 75   N M DE S SD: 0.0090 c. M:-0.0139 c. 
 298: 61 61 176   N M DE S SD: 0.0080 c. M: 0.0124 c. 
 425: 87 87 251   N M DE S SD: 0.0029 c. M: 0.0045 c. 
 552: 113 113 326   N M DE S SD: 0.0002 c. M: 0.0003 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 6:7  S SD: 70.0332 cents
 6 x 7:8  S SD: 31.4805 cents
 7 x 8:9  S SD: 34.3053 cents
 8 x 9:11    SD: 26.6365 cents
 9 x 10:12  S SD: 10.7531 cents
 10 x 11:13    SD: 29.3037 cents
 11:12 x 15  S SD: 31.1593 cents
 12:13:14:16  S SD: 24.2783 cents
 13:14:15:17    SD: 20.3995 cents
 14:15:16:19    SD: 14.8627 cents
 15:16:17:20    SD: 5.3626 cents
 32:34:36:43    SD: 4.6009 cents
 33:35:37:44    SD: 1.9465 cents
 48:51:54:64    SD: 1.0001 cents
 81:86:91:108    SD: 0.9823 cents
 129:137:145:172    SD: 0.8890 cents
 168:178:189:224    SD: 0.6186 cents
 183:194:206:244    SD: 0.4611 cents
 216:229:243:288    SD: 0.2585 cents
 264:280:297:352    SD: 0.0294 cents