Scala analysis: 665_T72

  0:          1/1               0.000000 unison, perfect prime
  1:         62.500 cents      62.500000
  2:        125.000 cents     125.000000
  3:        500.000 cents     500.000000

  0:        375.0000 cents    375.0000
  1:         62.5000 cents     62.5000
  2:         62.5000 cents     62.5000
  3:        375.0000 cents    375.0000

Interval class, Number of incidences, Size:
  1:   2 62.50000 cents
  1:   1 375.00000 cents
  2:   1 125.00000 cents
  2:   2 437.50000 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  : 62.5  125.0 500.0
 62.5 : 62.5  437.5 500.0
 125.0: 375.0 437.5 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  62.5000   .. 375.0000 cents      312.50000 cents                    62.50000 cents
  2:  125.0000  .. 437.5000 cents      312.50000 cents                   -250.00000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 62.50000 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 375.00000 cents
Average / Smallest step             : 2.666667
Largest / Average step              : 2.250000
Largest / Smallest step             : 6.000000
Median interval of one step         : 62.50000 cents, amount: 2
Most common interval of one step    : 62.50000 cents, amount: 2
Least squares average step          : 129.46429 cents, oct.:  388.39286 cents
Scale is not proper
Scale has Myhill's property
  chromas: 312.50000 cents and 250.00000 cents, ratio: 1.250000
  generators: 1 of 62.50000 cents and 437.50000 cents
ET pair of linear temperament       : 16&16
Scale is distributional even
Scale is a mode of a 8-tone equal temperament with octave  500.000 cents
  degrees: 1 2 8
  generators: 1 and 7
Number of contiguous 1-step segments: 1
Step pattern alph. order: AAB
Step pattern size order : SSL
Interval vector is [ 2 1 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 62.50000 cents
Scale diversity                     : 0.618375
Lumma stability                     : 0.250000
Lumma impropriety factor            : 0.500000
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        : 62.50000 cents
Most common intervals               : 62.50000 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 1 2   N G T3   SD: 43.3680 c. M: 62.5000 c. 
  4:  0 1 3   N G T3   SD: 36.0844 c. M: 62.5000 c. 
  5:  0 1 4   N G T3   SD: 38.8641 c. M: 62.5000 c. 
  7:  1 1 5   N M DE S SD: 11.5267 c. M:-17.8571 c. 
  8:  1 1 6   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: 70.9422 cents
 7 x 8:9  S SD: 62.2234 cents
 8 x 9:11    SD: 47.0646 cents
 9 x 10:12  S SD: 28.7185 cents
 10 x 11:13    SD: 30.4003 cents
 11 x 12:15  S SD: 22.4868 cents
 12 x 13:16    SD: 6.8564 cents
 13 x 14:17    SD: 17.8624 cents
 14 x 15:19    SD: 14.6102 cents
 15 x 16:20  S SD: 6.7060 cents
 16 x 17:21    SD: 17.7168 cents
 17 x 18:23    SD: 17.4795 cents
 18:19 x 24    SD: 15.5822 cents
 19:20 x 25  S SD: 18.1040 cents
 20:21:22:27    SD: 16.5501 cents
 21:22:23:28    SD: 12.4051 cents
 22:23:24:29    SD: 12.1970 cents
 23:24:25:31    SD: 9.3124 cents
 24:25:26:32    SD: 5.3211 cents
 26:27:28:35  S SD: 5.0820 cents
 27:28:29:36    SD: 0.7953 cents
 107:111:115:143    SD: 0.7786 cents
 134:139:144:179    SD: 0.5402 cents
 161:167:173:215    SD: 0.4146 cents
 188:195:202:251    SD: 0.3605 cents
 215:223:231:287    SD: 0.3496 cents
 385:399:414:514    SD: 0.3422 cents
 412:427:443:550    SD: 0.2834 cents
 439:455:472:586    SD: 0.2370 cents
 466:483:501:622    SD: 0.2030 cents
 493:511:530:658    SD: 0.1813 cents
 520:539:559:694    SD: 0.1714 cents
 573:594:616:765    SD: 0.1512 cents
 600:622:645:801    SD: 0.1103 cents