Scala analysis: 713_S22

  0:          1/1               0.000000 unison, perfect prime
  1:        217.262 cents     217.261980
  2:        421.172 cents     421.171980
  3:        498.038 cents     498.038060

  0:         76.8661 cents     76.8661
  1:        217.2620 cents    217.2620
  2:        203.9100 cents    203.9100
  3:         76.8661 cents     76.8661

Interval class, Number of incidences, Size:
  1:   1 76.86608 cents
  1:   1 203.91000 cents
  1:   1 217.26198 cents
  2:   1 280.77608 cents
  2:   1 294.12806 cents
  2:   1 421.17198 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  : 217.3 421.2 498.0
 217.3: 203.9 280.8 498.0
 421.2: 76.9  294.1 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  76.8661   .. 217.2620 cents      140.39590 cents                    76.86608 cents
  2:  280.7761  .. 421.1720 cents      140.39590 cents                    63.51410 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 76.86608 cents, class 1
Average step (divided formal octave): 166.0127 cents
Largest one step interval           : 217.26198 cents
Average / Smallest step             : 2.159765
Largest / Average step              : 1.308707
Largest / Smallest step             : 2.826500
Median interval of one step         : 203.91000 cents, amount: 1
Least squares average step          : 182.40858 cents, oct.:  547.22574 cents
Scale is strictly proper
Scale has trivalence property
Scale is a mode of a 784-tone equal temperament with octave  498.038 cents
  degrees: 342 663 784
Least number of segments generator  : 393 of 249.654 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 563 of 357.647 cents and inv.
  generated superset size: 6 = 3 more = 200.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : LMS
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 63.51410 cents
Scale diversity                     : 0.937298
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.436204
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        : 13.35198 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best major thirds form a closed circle
Steps are strictly decreasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions with margin 127.0439 cents:
 2
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 59.3678 c. M: 89.1466 c. 
  4:  2 1 1   P M ME S SD: 33.0576 c. M: 47.6434 c. 
  5:  2 2 1  SP M ME S SD: 16.7617 c. M: 22.7415 c. 
  7:  3 3 1  SP M DE S SD: 3.9692 c. M:-5.7178 c. 
 19:  8 8 3  SP M DE S SD: 4.4840 c. M: 7.5617 c. 
 20:  9 8 3  SP   T3   SD: 4.1497 c. M:-6.8551 c. 
 25:  11 10 4  SP   T3   SD: 1.9551 c. M: 2.8200 c. 
 32:  14 13 5  SP   T3   SD: 0.6592 c. M: 0.9524 c. 
 39:  17 16 6  SP   T3   SD: 0.1716 c. M:-0.2448 c. 
 110: 48 45 17  SP   T3   SD: 0.0701 c. M: 0.1034 c. 
 149: 65 61 23  SP   T3   SD: 0.0073 c. M: 0.0123 c. 
 486: 212 199 75  SP   T3   SD: 0.0079 c. M: 0.0108 c. 
 635: 277 260 98  SP   T3   SD: 0.0048 c. M: 0.0076 c. 
 784: 342 321 121  SP   T3   SD: 0.0032 c. M: 0.0056 c. 
 933: 407 382 144  SP   T3   SD: 0.0026 c. M: 0.0042 c. 
 1082: 472 443 167  SP   T3   SD: 0.0026 c. M: 0.0032 c. 
 2015: 879 825 311  SP   T3   SD: 0.0025 c. M: 0.0037 c. 

 1 x x 2  S SD: 701.9619 cents
 2 x x 3  S SD: 203.9169 cents
 3 x x 4  S SD: 0.0069 cents
 4 x 5 x  S SD: 34.8583 cents
 5:6 x 7  S SD: 64.8351 cents
 6:7 x 8  S SD: 24.8045 cents
 7:8:9 x  S SD: 9.8374 cents
 10:11:13 x    SD: 30.9138 cents
 11:12:14:15  S SD: 25.7477 cents
 12:14:15:16  S SD: 20.2104 cents
 13:15 x 17    SD: 22.6860 cents
 14:16:18:19  S SD: 12.1402 cents
 15:17:19:20    SD: 3.9805 cents
 36:41:46:48    SD: 2.8373 cents
 51:58:65:68    SD: 1.8485 cents
 66:75:84:88    SD: 1.8199 cents
 69:78:88:92    SD: 1.6698 cents
 84:95:107:112    SD: 1.5841 cents
 90:102:115:120    SD: 1.0813 cents
 105:119:134:140    SD: 0.3963 cents
 120:136:153:160    SD: 0.2712 cents
 225:255:287:300    SD: 0.2008 cents
 276:313:352:368    SD: 0.1793 cents
 381:432:486:508    SD: 0.1068 cents
 396:449:505:528    SD: 0.1014 cents
 501:568:639:668    SD: 0.0164 cents