Scala analysis: 707_S16

  0:          1/1               0.000000 unison, perfect prime
  1:        282.005 cents     282.004800
  2:        396.012 cents     396.012240
  3:        498.016 cents     498.015930

  0:        102.0037 cents    102.0037
  1:        282.0048 cents    282.0048
  2:        114.0074 cents    114.0074
  3:        102.0037 cents    102.0037

Interval class, Number of incidences, Size:
  1:   1 102.00369 cents
  1:   1 114.00744 cents
  1:   1 282.00480 cents
  2:   1 216.01113 cents
  2:   1 384.00849 cents
  2:   1 396.01224 cents
Highest number of different intervals for one interval class: 3
Average number of different intervals per interval class: 3.00000 = 3

        1     2     3    
 0.0  : 282.0 396.0 498.0
 282.0: 114.0 216.0 498.0
 396.0: 102.0 384.0 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  102.0037  .. 282.0048 cents      180.00111 cents                    102.00369 cents
  2:  216.0111  .. 396.0122 cents      180.00111 cents                   -65.99367 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 102.00369 cents, class 1
Average step (divided formal octave): 166.0053 cents
Largest one step interval           : 282.00480 cents
Average / Smallest step             : 1.627444
Largest / Average step              : 1.698770
Largest / Smallest step             : 2.764653
Median interval of one step         : 114.00744 cents, amount: 1
Least squares average step          : 183.43408 cents, oct.:  550.30223 cents
Scale is not proper
Scale has trivalence property
Scale is a mode of a 83-tone equal temperament with octave  498.016 cents
  degrees: 47 66 83
Least number of segments generator  : 42 of 252.008 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 66 of 396.013 cents and inv.
  generated superset size: 8 = 5 more = 266.667%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : LMS
Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 65.99367 cents
Scale diversity                     : 1.129584
Lumma stability                     : 0.409640
Lumma impropriety factor            : 0.132513
Rothenberg efficiency               : 0.666667   redundancy: 0.333333
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 6 = 3.00000 / class
Number of one step interval sizes   : 3
Highest interval variety            : 3
Mean interval variety               : 3.00000 = 3
Median interval variety             : 3
Lowest interval variety             : 3
Smallest interval difference        : 12.00375 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Steps are strictly decreasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions with margin 167.9974 cents:
 1
-- Rational properties --

  3:  2 0 1   N G T3   SD: 46.8927 c. M: 64.0016 c. 
  4:  2 1 1   P M ME S SD: 23.0583 c. M: 32.9968 c. 
  5:  3 1 1   N M DE S SD: 9.8007 c. M:-16.8048 c. 
  9:  5 2 2   N M DE S SD: 5.8739 c. M: 8.6665 c. 
 14:  8 3 3   N M DE S SD: 3.1014 c. M: 4.7140 c. 
 23:  13 5 5   N M DE S SD: 3.6269 c. M: 6.2606 c. 
 25:  14 6 5   N   T3   SD: 2.2709 c. M: 3.1159 c. 
 30:  17 7 6   N   T3   SD: 1.3909 c. M:-2.4005 c. 
 39:  22 9 8   N   T3   SD: 0.6256 c. M: 1.0727 c. 
 44:  25 10 9   N   T3   SD: 0.5592 c. M:-0.9588 c. 
 69:  39 16 14   N   T3   SD: 0.6281 c. M:-0.9570 c. 
 83:  47 19 17   N   T3   SD: 0.0024 c. M:-0.0042 c. 

 1 x x 2  S SD: 701.9841 cents
 2 x x 3  S SD: 203.9391 cents
 3 x x 4  S SD: 0.0291 cents
 4 x 5 x  S SD: 9.6985 cents
 5:6 x 7  S SD: 45.4726 cents
 6:7 x 8  S SD: 7.5670 cents
 7:8:9 x  S SD: 32.0561 cents
 8:9:10:11  H SD: 31.6824 cents
 9 x 11:12    SD: 24.3022 cents
 10:12 x 13  S SD: 27.6135 cents
 11:13:14:15    SD: 15.0181 cents
 12:14:15:16  S SD: 5.9916 cents
 27:32:34:36    SD: 4.1716 cents
 39:46:49:52    SD: 1.2932 cents
 51:60:64:68    SD: 0.9978 cents
 90:106:113:120    SD: 0.7968 cents
 147:173:185:196    SD: 0.6799 cents
 159:187:200:212    SD: 0.5533 cents
 186:219:234:248    SD: 0.5396 cents
 198:233:249:264    SD: 0.2636 cents
 237:279:298:316    SD: 0.2237 cents
 249:293:313:332    SD: 0.1001 cents
 288:339:362:384    SD: 0.0927 cents
 486:572:611:648    SD: 0.0858 cents
 537:632:675:716    SD: 0.0204 cents