Scala analysis: 616_T23

  0:          1/1               0.000000 unison, perfect prime
  1:         91.667 cents      91.666670
  2:        183.333 cents     183.333330
  3:        500.000 cents     500.000000

  0:        316.6667 cents    316.6667
  1:         91.6667 cents     91.6667
  2:         91.6667 cents     91.6667
  3:        316.6667 cents    316.6667

Interval class, Number of incidences, Size:
  1:   2 91.66667 cents
  1:   1 316.66667 cents
  2:   1 183.33333 cents
  2:   2 408.33333 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  : 91.7  183.3 500.0
 91.7 : 91.7  408.3 500.0
 183.3: 316.7 408.3 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  91.6667   .. 316.6667 cents      225.00000 cents                    91.66667 cents
  2:  183.3333  .. 408.3333 cents      225.00000 cents                   -133.33334 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 91.66666 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 316.66667 cents
Average / Smallest step             : 1.818182
Largest / Average step              : 1.900000
Largest / Smallest step             : 3.454546
Median interval of one step         : 91.66667 cents, amount: 2
Most common interval of one step    : 91.66667 cents, amount: 2
Least squares average step          : 139.88095 cents, oct.:  419.64286 cents
Scale is not proper
Scale has Myhill's property
  chromas: 225.00000 cents and 133.33333 cents, ratio: 1.687500
  generators: 1 of 91.66667 cents and 408.33333 cents
ET pair of linear temperament       : 22&98
Scale is distributional even
Scale is a mode of a 60-tone equal temperament with octave  500.000 cents
  degrees: 11 22 60
  generators: 11 and 49
Number of contiguous 1-step segments: 0
Step pattern alph. order: AAB
Step pattern size order : SSL
Interval vector is [ 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 91.66666 cents
Scale diversity                     : 1.003801
Lumma stability                     : 0.366667
Lumma impropriety factor            : 0.266667
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        : 91.66666 cents
Most common intervals               : 91.66667 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 --

  3:  0 1 2   N G T3   SD: 53.7914 c. M: 91.6667 c. 
  4:  1 1 2   P M ME S SD: 43.0331 c. M:-66.6667 c. 
  5:  1 1 3   N M DE S SD: 10.7583 c. M:-16.6667 c. 
  6:  1 1 4   N M DE S SD: 10.7583 c. M: 16.6667 c. 
 11:  2 2 7   N M DE S SD: 0.9780 c. M: 1.5151 c. 
 38:  7 7 24   N M DE S SD: 0.5662 c. M:-0.8772 c. 
 49:  9 9 31   N M DE S SD: 0.2196 c. M:-0.3401 c. 
 60:  11 11 38   N M DE S 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: 77.9642 cents
 6 x 7:8  S SD: 41.7802 cents
 7 x 8:9  S SD: 40.3200 cents
 8 x 9:11    SD: 27.6448 cents
 9 x 10:12  S SD: 1.0824 cents
 10 x 11:13    SD: 24.6593 cents
 11 x 12:15  S SD: 24.6698 cents
 12 x 13:16    SD: 22.4017 cents
 13:14 x 17    SD: 25.5307 cents
 14:15:16:19    SD: 20.7718 cents
 15:16:17:20    SD: 12.9908 cents
 16:17:18:21  S SD: 12.7093 cents
 17:18:19:23    SD: 8.7049 cents
 18:19:20:24  S SD: 0.9681 cents
 143:151:159:191    SD: 0.9336 cents
 161:170:179:215    SD: 0.8703 cents
 170:179:189:227    SD: 0.8103 cents
 188:198:209:251    SD: 0.6586 cents
 206:217:229:275    SD: 0.5383 cents
 224:236:249:299    SD: 0.4435 cents
 242:255:269:323    SD: 0.3707 cents
 260:274:289:347    SD: 0.3181 cents
 278:293:309:371    SD: 0.2841 cents
 296:312:329:395    SD: 0.2669 cents
 314:331:349:419    SD: 0.2637 cents
 331:349:368:442    SD: 0.2228 cents
 349:368:388:466    SD: 0.1794 cents
 367:387:408:490    SD: 0.1494 cents
 385:406:428:514    SD: 0.1349 cents