Scala analysis: 620_T27

  0:          1/1               0.000000 unison, perfect prime
  1:         33.333 cents      33.333330
  2:        200.000 cents     200.000000
  3:        500.000 cents     500.000000

  0:        300.0000 cents    300.0000
  1:         33.3333 cents     33.3333
  2:        166.6667 cents    166.6667
  3:        300.0000 cents    300.0000

Interval class, Number of incidences, Size:
  1:   1 33.33333 cents
  1:   1 166.66667 cents
  1:   1 300.00000 cents
  2:   1 200.00000 cents
  2:   1 333.33333 cents
  2:   1 466.66667 cents
Highest number of different intervals for one interval class: 3
Average number of different intervals per interval class: 3.00000 = 3

        1     2     3    
 0.0  : 33.3  200.0 500.0
 33.3 : 166.7 466.7 500.0
 200.0: 300.0 333.3 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  33.3333   .. 300.0000 cents      266.66667 cents                    33.33333 cents
  2:  200.0000  .. 466.6667 cents      266.66667 cents                   -100.00000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 33.33333 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 300.00000 cents
Average / Smallest step             : 5.000001
Largest / Average step              : 1.800000
Largest / Smallest step             : 9.000001
Median interval of one step         : 166.66667 cents, amount: 1
Least squares average step          : 138.09524 cents, oct.:  414.28571 cents
Scale is not proper
Scale has trivalence property
Scale is a mode of a 15-tone equal temperament with octave  500.000 cents
  degrees: 1 6 15
Least number of segments generator  : 11 of 366.667 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 8 of 266.667 cents and inv.
  generated superset size: 6 = 3 more = 200.000%
Number of contiguous 1-step segments: 1
Step pattern alph. order: ABC
Step pattern size order : SML
Interval vector is [ 1 0 0 0 1 1 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 33.33333 cents
Scale diversity                     : 0.701893
Lumma stability                     : 0.133333
Lumma impropriety factor            : 0.200000
Rothenberg efficiency               : 0.666667   redundancy: 0.333333
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 6 = 3.00000 / class
Number of one step interval sizes   : 3
Highest interval variety            : 3
Mean interval variety               : 3.00000 = 3
Median interval variety             : 3
Lowest interval variety             : 3
Smallest interval difference        : 33.33333 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Steps are strictly increasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --

  3:  0 1 2   N G T3   SD: 27.2166 c. M: 33.3333 c. 
  5:  0 2 3   N G T3   SD: 19.2450 c. M: 33.3333 c. 
  8:  0 3 5   N G T3   SD: 20.5537 c. M: 33.3333 c. 
 10:  1 3 6   N   T3   SD: 9.6225 c. M:-16.6667 c. 
 12:  1 4 7   N   T3   SD: 6.8041 c. M:-8.3333 c. 
 13:  1 4 8   N   T3   SD: 5.3376 c. M: 7.6923 c. 
 15:  1 5 9   N   T3   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 x 5  S SD: 113.6863 cents
 5 x 6:7  S SD: 71.0302 cents
 6 x 7:8  S SD: 33.4497 cents
 7 x 8:9  S SD: 36.0066 cents
 8 x 9:11    SD: 25.7333 cents
 9 x 10:12  S SD: 8.8523 cents
 10 x 11:13    SD: 28.8143 cents
 11 x 12:15  S SD: 30.8304 cents
 12 x 13:16    SD: 30.7292 cents
 13 x 15:17    SD: 29.7682 cents
 14 x 16:19    SD: 21.1824 cents
 18:19:20:24  S SD: 20.9388 cents
 21:22:24:28  S SD: 18.8675 cents
 22:23:25:29    SD: 17.7317 cents
 23:24:26:31    SD: 15.1254 cents
 24:25:27:32    SD: 12.5314 cents
 26:27:29:35    SD: 12.2822 cents
 27:28:30:36  S SD: 11.5048 cents
 30:31:34:40    SD: 9.6113 cents
 31:32:35:41    SD: 9.5751 cents
 32:33:36:43    SD: 7.7856 cents
 33:34:37:44    SD: 6.1845 cents
 39:40:44:52    SD: 4.6198 cents
 41:42:46:55    SD: 4.0051 cents
 42:43:47:56    SD: 3.0993 cents
 48:49:54:64    SD: 1.6565 cents
 57:58:64:76    SD: 1.2693 cents
 98:100:110:131    SD: 0.9848 cents
 105:107:118:140    SD: 0.9765 cents
 107:109:120:143    SD: 0.9541 cents
 146:149:164:195    SD: 0.8277 cents
 155:158:174:207    SD: 0.2891 cents
 254:259:285:339    SD: 0.2677 cents
 311:317:349:415    SD: 0.2499 cents
 409:417:459:546    SD: 0.1391 cents
 466:475:523:622    SD: 0.1086 cents
 514:524:577:686    SD: 0.1060 cents