Scala analysis: 642_T49

  0:          1/1               0.000000 unison, perfect prime
  1:         33.333 cents      33.333330
  2:        266.667 cents     266.666670
  3:        500.000 cents     500.000000

  0:        233.3333 cents    233.3333
  1:         33.3333 cents     33.3333
  2:        233.3333 cents    233.3333
  3:        233.3333 cents    233.3333

Interval class, Number of incidences, Size:
  1:   1 33.33333 cents
  1:   2 233.33334 cents
  2:   2 266.66667 cents
  2:   1 466.66667 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  : 33.3  266.7 500.0
 33.3 : 233.3 466.7 500.0
 266.7: 233.3 266.7 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  33.3333   .. 233.3333 cents      200.00001 cents                    33.33333 cents
  2:  266.6667  .. 466.6667 cents      200.00000 cents                    33.33333 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           : 233.33334 cents
Average / Smallest step             : 5.000001
Largest / Average step              : 1.400000
Largest / Smallest step             : 7.000001
Median interval of one step         : 233.33334 cents, amount: 2
Most common interval of one step    : 233.33334 cents, amount: 2
Least squares average step          : 147.61905 cents, oct.:  442.85714 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 200.00001 cents and 166.66668 cents, ratio: 1.200000
  generators: 233.33334 cents and 2 of 266.66666 cents
ET pair of linear temperament       : 30&9999994
Scale is distributional even
Scale is a mode of a 15-tone equal temperament with octave  500.000 cents
  degrees: 1 8 15
  generators: 7 and 8
Number of contiguous 1-step segments: 1
Step pattern alph. order: ABB
Step pattern size order : SLL
Interval vector is [ 1 0 0 0 0 0 2 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 33.33333 cents
Scale diversity                     : 0.471317
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.200000
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        : 33.33333 cents
Most common intervals               : 233.33334 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      :
 1
Inversional symmetry on degrees     :
 2
Inversional symmetry on intervals   :
 0-1
-- Rational properties --

  3:  0 1 2   N G T3   SD: 60.8581 c. M: 100.0000 c. 
  4:  0 2 2   P M DE S SD: 21.5166 c. M: 33.3333 c. 
  9:  1 4 4  SP M DE S SD: 14.3444 c. M:-22.2222 c. 
 11:  1 5 5  SP M DE S SD: 7.8242 c. M:-12.1212 c. 
 13:  1 6 6  SP M DE S SD: 3.3102 c. M:-5.1282 c. 
 15:  1 7 7  SP 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: 47.9760 cents
 6 x 7:8  S SD: 0.9828 cents
 7 x 8:9  S SD: 36.9926 cents
 8 x 9:11    SD: 40.5337 cents
 9 x 11:12    SD: 40.3825 cents
 10 x 12:13  S SD: 33.5219 cents
 11 x 13:15    SD: 21.6423 cents
 18:19:21:24    SD: 20.1006 cents
 20:21:23:27    SD: 20.0203 cents
 21:22:25:28    SD: 19.6345 cents
 22:23:26:29    SD: 17.9004 cents
 23:24:27:31    SD: 15.0118 cents
 24:25:28:32    SD: 12.4636 cents
 28:29:33:37    SD: 12.3536 cents
 29:30:34:39    SD: 9.9190 cents
 30:31:35:40    SD: 7.8386 cents
 35:36:41:47    SD: 6.6536 cents
 36:37:42:48    SD: 4.7457 cents
 41:42:48:55    SD: 4.5032 cents
 42:43:49:56    SD: 2.5533 cents
 48:49:56:64  S SD: 1.0247 cents
 54:55:63:72    SD: 0.8379 cents
 102:104:119:136    SD: 0.6620 cents
 203:207:237:271    SD: 0.5004 cents
 209:213:244:279    SD: 0.4944 cents
 251:256:293:335    SD: 0.4866 cents
 257:262:300:343    SD: 0.3993 cents
 307:313:358:410    SD: 0.3553 cents
 355:362:414:474    SD: 0.2783 cents
 361:368:421:482    SD: 0.2194 cents
 409:417:477:546    SD: 0.1589 cents
 463:472:540:618    SD: 0.1137 cents