Scala analysis: 649_T56

  0:          1/1               0.000000 unison, perfect prime
  1:         66.667 cents      66.666670
  2:        283.333 cents     283.333330
  3:        500.000 cents     500.000000

  0:        216.6667 cents    216.6667
  1:         66.6667 cents     66.6667
  2:        216.6667 cents    216.6667
  3:        216.6667 cents    216.6667

Interval class, Number of incidences, Size:
  1:   1 66.66667 cents
  1:   2 216.66666 cents
  2:   2 283.33333 cents
  2:   1 433.33333 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  : 66.7  283.3 500.0
 66.7 : 216.7 433.3 500.0
 283.3: 216.7 283.3 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  66.6667   .. 216.6667 cents      149.99999 cents                    66.66667 cents
  2:  283.3333  .. 433.3333 cents      150.00000 cents                    66.66667 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           : 216.66666 cents
Average / Smallest step             : 2.500000
Largest / Average step              : 1.300000
Largest / Smallest step             : 3.250000
Median interval of one step         : 216.66666 cents, amount: 2
Most common interval of one step    : 216.66666 cents, amount: 2
Least squares average step          : 152.38095 cents, oct.:  457.14286 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 149.99999 cents and 83.33332 cents, ratio: 1.800000
  generators: 216.66666 cents and 2 of 283.33334 cents
ET pair of linear temperament       : 60&4999994
Scale is distributional even
Scale is a mode of a 30-tone equal temperament with octave  500.000 cents
  degrees: 4 17 30
  generators: 13 and 17
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABB
Step pattern size order : SLL
Interval vector is [ 0 0 0 1 0 0 0 0 0 0 0 0 2 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
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.400000
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        : 66.66667 cents
Most common intervals               : 216.66666 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best major 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      :
 1
Inversional symmetry on degrees     :
 2
Inversional symmetry on intervals   :
 0-1
-- Rational properties --

  3:  0 2 1   N G T3   SD: 48.1125 c. M: 66.6667 c. 
  4:  0 2 2   P M DE S SD: 43.0331 c. M: 66.6667 c. 
  5:  1 2 2  SP M ME S SD: 21.5166 c. M:-33.3333 c. 
  6:  1 2 3   P   T3   SD: 21.5166 c. M: 33.3333 c. 
  7:  1 3 3  SP M DE S SD: 3.0738 c. M:-4.7619 c. 
 16:  2 7 7  SP M DE S SD: 2.6896 c. M: 4.1667 c. 
 23:  3 10 10  SP M DE S SD: 0.9355 c. M: 1.4493 c. 
 30:  4 13 13  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 x 9:11    SD: 47.2800 cents
 9 x 11:12    SD: 32.0522 cents
 11:12:13:15    SD: 30.6430 cents
 12:13:14:16  S SD: 24.5974 cents
 15:16:18:20  S SD: 18.4946 cents
 16:17:19:21    SD: 16.7360 cents
 17:18:20:23    SD: 13.2924 cents
 18:19:21:24    SD: 10.5430 cents
 21:22:25:28    SD: 7.7384 cents
 23:24:27:31    SD: 6.3518 cents
 24:25:28:32    SD: 5.6851 cents
 27:28:32:36  S SD: 3.8619 cents
 45:47:53:60    SD: 2.9451 cents
 50:52:59:67    SD: 2.5044 cents
 51:53:60:68    SD: 0.9266 cents
 101:105:119:135    SD: 0.8225 cents
 129:134:152:172    SD: 0.7464 cents
 152:158:179:203    SD: 0.3319 cents
 203:211:239:271    SD: 0.2534 cents
 230:239:271:307    SD: 0.2319 cents
 281:292:331:375    SD: 0.1635 cents
 382:397:450:510    SD: 0.1413 cents
 433:450:510:578    SD: 0.0163 cents