Scala analysis: 692_S1

  0:          1/1               0.000000 unison, perfect prime
  1:         45.113 cents      45.112500
  2:        256/243            90.224996 limma, Pythagorean minor second
  3:          4/3             498.044999 perfect fourth

  0:         81/64            407.8200 Pythagorean major third
  1:         45.1125 cents     45.1125
  2:         45.1125 cents     45.1125
  3:         81/64            407.8200 Pythagorean major third

Interval class, Number of incidences, Size:
  1:   2 45.11250 cents
  1:   1 81/64               407.820 cents  Pythagorean major third
  2:   1 256/243             90.225 cents   limma, Pythagorean minor second
  2:   2 452.93250 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  : 45.1  90.2  498.0
 45.1 : 45.1  452.9 498.0
 90.2 : 407.8 452.9 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  45.1125   .. 407.8200 cents      362.70750 cents                    45.11250 cents
  2:  90.2250   .. 452.9325 cents      362.70750 cents                    16384/19683,-317.5950 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 45.11250 cents, class 1
Average step (divided formal octave): 166.0150 cents
Largest one step interval           : 81/64, 407.8200 cents
Average / Smallest step             : 3.680023
Largest / Average step              : 2.456525
Largest / Smallest step             : 9.040067
Median interval of one step         : 45.11250 cents, amount: 2
Most common interval of one step    : 45.11250 cents, amount: 2
Least squares average step          : 122.83553 cents, oct.:  368.50660 cents
Scale is not proper
Scale has Myhill's property
  chromas: 362.70750 cents and 317.59500 cents, ratio: 1.142044
  generators: 1 of 45.11250 cents and 452.93250 cents
ET pair of linear temperament       : 22&530
Scale is distributional even
Scale is a mode of a 276-tone equal temperament with octave  4/3
  degrees: 25 50 276
  generators: 25 and 251
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 45.11250 cents
Scale diversity                     : 0.356861
Lumma stability                     : 0.181158
Lumma impropriety factor            : 0.637683
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        : 45.11250 cents
Most common intervals               : 45.11250 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 0 3   N M DE S SD: 58.2400 c. M: 90.2250 c. 
  4:  0 1 3   N G T3   SD: 32.7143 c. M: 45.1125 c. 
  5:  0 1 4   N G T3   SD: 26.6032 c. M: 45.1125 c. 
  6:  0 1 5   N G T3   SD: 26.3769 c. M: 45.1125 c. 
  7:  0 1 6   N G T3   SD: 28.2785 c. M: 45.1125 c. 
  8:  1 0 7   N G T3   SD: 18.9400 c. M: 27.9694 c. 
  9:  1 1 7   N M DE S SD: 13.2015 c. M:-20.4517 c. 
 10:  1 1 8   N M DE S SD: 6.0573 c. M:-9.3840 c. 
 11:  1 1 9   N M DE S SD: 0.2121 c. M:-0.3286 c. 
 144: 13 13 118   N M DE S SD: 0.1938 c. M: 0.3002 c. 
 155: 14 14 127   N M DE S SD: 0.1650 c. M: 0.2556 c. 
 166: 15 15 136   N M DE S SD: 0.1400 c. M: 0.2169 c. 
 177: 16 16 145   N M DE S SD: 0.1181 c. M: 0.1830 c. 
 188: 17 17 154   N M DE S SD: 0.0988 c. M: 0.1530 c. 
 199: 18 18 163   N M DE S SD: 0.0816 c. M: 0.1264 c. 
 210: 19 19 172   N M DE S SD: 0.0662 c. M: 0.1026 c. 
 221: 20 20 181   N M DE S SD: 0.0524 c. M: 0.0811 c. 
 232: 21 21 190   N M DE S SD: 0.0398 c. M: 0.0617 c. 
 243: 22 22 199   N M DE S SD: 0.0284 c. M: 0.0440 c. 
 254: 23 23 208   N M DE S SD: 0.0180 c. M: 0.0279 c. 
 265: 24 24 217   N M DE S SD: 0.0084 c. M: 0.0131 c. 
 276: 25 25 226   N M DE S SD: 0.0004 c. M:-0.0005 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: 88.3230 cents
 7 x 8:9  S SD: 77.1860 cents
 8 x 9:11    SD: 62.7740 cents
 9 x 10:12  S SD: 46.0894 cents
 10 x 11:13    SD: 43.3391 cents
 11 x 12:15  S SD: 35.9280 cents
 12 x 13:16    SD: 24.1738 cents
 13 x 14:17    SD: 25.3953 cents
 14 x 15:19    SD: 21.1697 cents
 15 x 16:20  S SD: 10.7531 cents
 16 x 17:21    SD: 15.4945 cents
 17 x 18:23    SD: 13.3695 cents
 18 x 19:24    SD: 1.6890 cents
 19 x 20:25  S SD: 11.4874 cents
 20 x 21:27    SD: 11.1319 cents
 21 x 22:28    SD: 4.8440 cents
 22 x 23:29    SD: 11.9115 cents
 23 x 24:31    SD: 12.4901 cents
 24 x 25:32    SD: 9.7763 cents
 25 x 26:33    SD: 14.1522 cents
 26:27 x 35    SD: 13.0720 cents
 27:28 x 36    SD: 8.9242 cents
 30:31:32:40  S SD: 8.1537 cents
 32:33:34:43    SD: 7.1887 cents
 33:34:35:44    SD: 4.4559 cents
 36:37:38:48    SD: 1.3663 cents
 39:40:41:52    SD: 1.2880 cents
 75:77:79:100    SD: 0.1747 cents