Scala analysis: 664_T71

  0:          1/1               0.000000 unison, perfect prime
  1:         37.500 cents      37.500000
  2:         75.000 cents      75.000000
  3:        500.000 cents     500.000000

  0:        425.0000 cents    425.0000
  1:         37.5000 cents     37.5000
  2:         37.5000 cents     37.5000
  3:        425.0000 cents    425.0000

Interval class, Number of incidences, Size:
  1:   2 37.50000 cents
  1:   1 425.00000 cents
  2:   1 75.00000 cents
  2:   2 462.50000 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  : 37.5  75.0  500.0
 37.5 : 37.5  462.5 500.0
 75.0 : 425.0 462.5 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  37.5000   .. 425.0000 cents      387.50000 cents                    37.50000 cents
  2:  75.0000   .. 462.5000 cents      387.50000 cents                   -350.00000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 37.50000 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 425.00000 cents
Average / Smallest step             : 4.444444
Largest / Average step              : 2.550000
Largest / Smallest step             : 11.333333
Median interval of one step         : 37.50000 cents, amount: 2
Most common interval of one step    : 37.50000 cents, amount: 2
Least squares average step          : 120.53571 cents, oct.:  361.60714 cents
Scale is not proper
Scale has Myhill's property
  chromas: 387.50000 cents and 350.00000 cents, ratio: 1.107143
  generators: 1 of 37.50000 cents and 462.50000 cents
ET pair of linear temperament       : 26&54
Scale is distributional even
Scale is a mode of a 40-tone equal temperament with octave  500.000 cents
  degrees: 3 6 40
  generators: 3 and 37
Number of contiguous 1-step segments: 0
Step pattern alph. order: AAB
Step pattern size order : SSL
Interval vector is [ 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 37.50000 cents
Scale diversity                     : 0.243504
Lumma stability                     : 0.150000
Lumma impropriety factor            : 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        : 37.50000 cents
Most common intervals               : 37.50000 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 0 3   N M DE S SD: 48.4123 c. M: 75.0000 c. 
  5:  0 1 4   N G T3   SD: 26.0208 c. M: 37.5000 c. 
  6:  0 1 5   N G T3   SD: 22.1788 c. M: 37.5000 c. 
  7:  0 1 6   N G T3   SD: 21.7486 c. M: 37.5000 c. 
  8:  0 1 7   N G T3   SD: 22.8218 c. M: 37.5000 c. 
  9:  1 0 8   N G T3   SD: 15.3198 c. M: 19.4444 c. 
 10:  1 1 8   N M DE S SD: 16.1374 c. M:-25.0000 c. 
 11:  1 1 9   N M DE S SD: 10.2693 c. M:-15.9091 c. 
 12:  1 1 10   N M DE S SD: 5.3791 c. M:-8.3333 c. 
 13:  1 1 11   N M DE S SD: 1.2413 c. M:-1.9231 c. 
 27:  2 2 23   N M DE S SD: 0.5977 c. M: 0.9259 c. 
 40:  3 3 34   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 x 7    SD: 82.5122 cents
 6 x 7:8  S SD: 95.9404 cents
 7 x 8:9  S SD: 84.5642 cents
 8 x 9:11    SD: 69.3746 cents
 9 x 10:12  S SD: 53.7108 cents
 10 x 11:13    SD: 50.4904 cents
 11 x 12:15  S SD: 42.0902 cents
 12 x 13:16    SD: 31.8014 cents
 13 x 14:17    SD: 32.0394 cents
 14 x 15:19    SD: 26.4486 cents
 15 x 16:20  S SD: 18.3916 cents
 16 x 17:21    SD: 20.9230 cents
 17 x 18:23    SD: 16.7152 cents
 18 x 19:24    SD: 9.3527 cents
 19 x 20:25  S SD: 14.2281 cents
 20 x 21:27    SD: 10.8614 cents
 21 x 22:28    SD: 2.9360 cents
 22 x 23:29    SD: 10.9143 cents
 23 x 24:31    SD: 8.4065 cents
 24 x 25:32    SD: 2.3743 cents
 25 x 26:33    SD: 10.3078 cents
 26 x 27:35    SD: 8.7589 cents
 27 x 28:36    SD: 6.0984 cents
 28 x 29:37    SD: 11.2765 cents
 29 x 30:39    SD: 10.3985 cents
 30 x 31:40    SD: 9.1688 cents
 31:32 x 41    SD: 11.8337 cents
 32:33 x 43    SD: 9.7653 cents
 33:34 x 44    SD: 7.1583 cents
 36:37:38:48    SD: 7.0599 cents
 38:39:40:51    SD: 6.0970 cents
 39:40:41:52    SD: 4.4472 cents
 41:42:43:55    SD: 4.0388 cents
 42:43:44:56    SD: 2.2350 cents
 45:46:47:60    SD: 0.6836 cents
 134:137:140:179    SD: 0.5776 cents
 137:140:143:183    SD: 0.4798 cents
 179:183:187:239    SD: 0.3762 cents
 182:186:190:243    SD: 0.2295 cents
 227:232:237:303    SD: 0.1432 cents