Scala analysis: 611_T18

  0:          1/1               0.000000 unison, perfect prime
  1:         66.667 cents      66.666670
  2:        150.000 cents     150.000000
  3:        500.000 cents     500.000000

  0:        350.0000 cents    350.0000
  1:         66.6667 cents     66.6667
  2:         83.3333 cents     83.3333
  3:        350.0000 cents    350.0000

Interval class, Number of incidences, Size:
  1:   1 66.66667 cents
  1:   1 83.33333 cents
  1:   1 350.00000 cents
  2:   1 150.00000 cents
  2:   1 416.66667 cents
  2:   1 433.33333 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  : 66.7  150.0 500.0
 66.7 : 83.3  433.3 500.0
 150.0: 350.0 416.7 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  66.6667   .. 350.0000 cents      283.33333 cents                    66.66667 cents
  2:  150.0000  .. 433.3333 cents      283.33333 cents                   -200.00000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 66.66667 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 350.00000 cents
Average / Smallest step             : 2.500000
Largest / Average step              : 2.100000
Largest / Smallest step             : 5.250000
Median interval of one step         : 83.33333 cents, amount: 1
Least squares average step          : 133.33333 cents, oct.:  400.00000 cents
Scale is not proper
Scale has trivalence property
Scale is a mode of a 30-tone equal temperament with octave  500.000 cents
  degrees: 4 9 30
Least number of segments generator  : 19 of 316.667 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 17 of 283.333 cents and inv.
  generated superset size: 6 = 3 more = 200.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : SML
Interval vector is [ 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 66.66667 cents
Scale diversity                     : 0.793857
Lumma stability                     : 0.266667
Lumma impropriety factor            : 0.400000
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        : 16.66666 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%
Limited inverse transpositions with margin 266.6667 cents:
 2
-- Rational properties --

  3:  0 1 2   N G T3   SD: 39.6746 c. M: 66.6667 c. 
  4:  0 1 3   N G T3   SD: 41.1074 c. M: 66.6667 c. 
  6:  1 1 4   N M DE S SD: 13.6083 c. M:-16.6667 c. 
  7:  1 1 5   N M DE S SD: 4.9563 c. M: 7.1429 c. 
 16:  2 3 11   N   T3   SD: 4.3368 c. M:-6.2500 c. 
 17:  2 3 12   N   T3   SD: 4.8362 c. M: 7.8431 c. 
 20:  3 3 14   N M DE S SD: 4.8113 c. M:-8.3333 c. 
 23:  3 4 16   N   T3   SD: 1.5085 c. M:-2.1739 c. 
 30:  4 5 21   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: 92.5274 cents
 6 x 7:8  S SD: 58.4436 cents
 7 x 8:9  S SD: 51.9695 cents
 8 x 9:11    SD: 37.2150 cents
 9 x 10:12  S SD: 16.2313 cents
 10 x 11:13    SD: 24.0909 cents
 11 x 12:15  S SD: 18.4781 cents
 12 x 13:16    SD: 5.7967 cents
 13 x 14:17    SD: 20.8348 cents
 14 x 15:19    SD: 20.9565 cents
 15 x 16:20  S SD: 19.1593 cents
 16:17 x 21    SD: 24.0821 cents
 17:18:19:23    SD: 19.4292 cents
 18:19:20:24  S SD: 14.0609 cents
 19:20:21:25    SD: 13.5425 cents
 20:21:22:27    SD: 10.1338 cents
 21:22:23:28    SD: 5.2953 cents
 24:25:26:32    SD: 4.0886 cents
 45:47:49:60    SD: 3.0673 cents
 53:55:58:71    SD: 3.0123 cents
 54:56:59:72    SD: 1.7792 cents
 75:78:82:100    SD: 1.6804 cents
 77:80:84:103    SD: 1.2483 cents
 78:81:85:104    SD: 0.8858 cents
 153:159:167:204    SD: 0.8382 cents
 155:161:169:207    SD: 0.4246 cents
 176:183:192:235    SD: 0.3929 cents
 254:264:277:339    SD: 0.1066 cents
 409:425:446:546    SD: 0.0968 cents