Scala analysis: 651_T58

  0:          1/1               0.000000 unison, perfect prime
  1:        141.667 cents     141.666670
  2:        283.333 cents     283.333330
  3:        500.000 cents     500.000000

  0:        216.6667 cents    216.6667
  1:        141.6667 cents    141.6667
  2:        141.6667 cents    141.6667
  3:        216.6667 cents    216.6667

Interval class, Number of incidences, Size:
  1:   2 141.66667 cents
  1:   1 216.66667 cents
  2:   1 283.33333 cents
  2:   2 358.33333 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  : 141.7 283.3 500.0
 141.7: 141.7 358.3 500.0
 283.3: 216.7 358.3 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  141.6667  .. 216.6667 cents      75.00000 cents                     141.66667 cents
  2:  283.3333  .. 358.3333 cents      75.00000 cents                     66.66666 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 141.66666 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 216.66667 cents
Average / Smallest step             : 1.176471
Largest / Average step              : 1.300000
Largest / Smallest step             : 1.529412
Median interval of one step         : 141.66667 cents, amount: 2
Most common interval of one step    : 141.66667 cents, amount: 2
Least squares average step          : 157.73809 cents, oct.:  473.21429 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 75.00000 cents and 66.66667 cents, ratio: 1.125000
  generators: 1 of 141.66667 cents and 358.33333 cents
ET pair of linear temperament       : 120&4999934
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 60-tone equal temperament with octave  500.000 cents
  degrees: 17 34 60
  generators: 17 and 43
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 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 1 0 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 66.66666 cents
Scale diversity                     : 1.325744
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.700000
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        : 66.66666 cents
Most common intervals               : 141.66667 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
Best major thirds form a closed circle
Best minor thirds form a closed circle
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:  1 1 1  SP B ME I SD: 32.2749 c. M:-50.0000 c. 
  4:  1 1 2   P M ME S SD: 21.5166 c. M: 33.3333 c. 
  7:  2 2 3  SP M ME S SD: 1.5369 c. M:-2.3810 c. 
 32:  9 9 14  SP M DE S SD: 1.3448 c. M: 2.0833 c. 
 39:  11 11 17  SP M DE S SD: 0.8276 c. M: 1.2820 c. 
 46:  13 13 20  SP M DE S SD: 0.4678 c. M: 0.7246 c. 
 53:  15 15 23  SP M DE S SD: 0.2030 c. M: 0.3145 c. 
 60:  17 17 26  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 5 x  S SD: 102.9804 cents
 5 x 6:7  S SD: 44.3059 cents
 6 x 7:8  S SD: 8.2891 cents
 7 x 8:9  S SD: 41.6373 cents
 8:9 x 11    SD: 40.3354 cents
 9:10:11:12  H SD: 25.3177 cents
 10:11:12:13  H SD: 20.2342 cents
 11:12:13:15    SD: 12.8251 cents
 12:13:14:16  S SD: 5.6215 cents
 33:36:39:44    SD: 3.6335 cents
 45:49:53:60    SD: 2.0281 cents
 57:62:67:76    SD: 1.8634 cents
 72:78:85:96    SD: 1.8136 cents
 84:91:99:112    SD: 1.2752 cents
 95:103:112:127    SD: 1.1726 cents
 107:116:126:143    SD: 0.9368 cents
 129:140:152:172    SD: 0.6930 cents
 140:152:165:187    SD: 0.5798 cents
 152:165:179:203    SD: 0.3382 cents
 236:256:278:315    SD: 0.2921 cents
 281:305:331:375    SD: 0.1678 cents
 388:421:457:518    SD: 0.1487 cents
 433:470:510:578    SD: 0.0966 cents