Scala analysis: 706_S15

  0:          1/1               0.000000 unison, perfect prime
  1:        284.357 cents     284.356800
  2:        397.781 cents     397.780620
  3:        498.053 cents     498.053330

  0:        100.2727 cents    100.2727
  1:        284.3568 cents    284.3568
  2:        113.4238 cents    113.4238
  3:        100.2727 cents    100.2727

Interval class, Number of incidences, Size:
  1:   1 100.27271 cents
  1:   1 113.42382 cents
  1:   1 284.35680 cents
  2:   1 213.69653 cents
  2:   1 384.62951 cents
  2:   1 397.78062 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  : 284.4 397.8 498.1
 284.4: 113.4 213.7 498.1
 397.8: 100.3 384.6 498.1
 498.1

Interval class, Interval span, Span size, Gap to prev. class:
  1:  100.2727  .. 284.3568 cents      184.08409 cents                    100.27271 cents
  2:  213.6965  .. 397.7806 cents      184.08409 cents                   -70.66027 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 100.27271 cents, class 1
Average step (divided formal octave): 166.0178 cents
Largest one step interval           : 284.35680 cents
Average / Smallest step             : 1.655663
Largest / Average step              : 1.712809
Largest / Smallest step             : 2.835834
Median interval of one step         : 113.42382 cents, amount: 1
Least squares average step          : 183.86272 cents, oct.:  551.58815 cents
Scale is not proper
Scale has trivalence property
Scale is a mode of a 2270-tone equal temperament with octave  498.053 cents
  degrees: 1296 1813 2270
Least number of segments generator  : 1137 of 249.465 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1813 of 397.784 cents and inv.
  generated superset size: 23 = 20 more = 766.667%
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 70.66027 cents
Scale diversity                     : 1.125846
Lumma stability                     : 0.402659
Lumma impropriety factor            : 0.141873
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        : 13.15111 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 170.9330 cents:
 1
-- Rational properties --

  3:  2 0 1   N G T3   SD: 46.8888 c. M: 65.7451 c. 
  4:  2 1 1   P M ME S SD: 24.7375 c. M: 35.3301 c. 
  5:  3 1 1   N M DE S SD: 8.3660 c. M:-14.4752 c. 
  9:  5 2 2   N M DE S SD: 7.4602 c. M: 10.4058 c. 
 14:  8 3 3   N M DE S SD: 3.7283 c. M: 6.4530 c. 
 19:  11 4 4   N M DE S SD: 3.5072 c. M: 4.5806 c. 
 21:  12 5 4   N   T3   SD: 3.1240 c. M:-5.4054 c. 
 26:  15 6 5   N   T3   SD: 3.1134 c. M:-4.4932 c. 
 30:  17 7 6   N   T3   SD: 1.2859 c. M: 2.1266 c. 
 35:  20 8 7   N   T3   SD: 0.4076 c. M:-0.6620 c. 
 79:  45 18 16   N   T3   SD: 0.5126 c. M: 0.6555 c. 
 84:  48 19 17   N   T3   SD: 0.3339 c. M: 0.5238 c. 
 114: 65 26 23   N   T3   SD: 0.2507 c. M: 0.3790 c. 
 119: 68 27 24   N   T3   SD: 0.1739 c. M:-0.2451 c. 
 149: 85 34 30   N   T3   SD: 0.1342 c. M: 0.2324 c. 
 184: 105 42 37   N   T3   SD: 0.1074 c. M: 0.1416 c. 
 233: 133 53 47   N   T3   SD: 0.1167 c. M: 0.1930 c. 
 268: 153 61 54   N   T3   SD: 0.0484 c. M: 0.0813 c. 
 303: 173 69 61   N   T3   SD: 0.0065 c. M:-0.0103 c. 
 1783: 1018 406 359   N   T3   SD: 0.0058 c. M: 0.0084 c. 
 1967: 1123 448 396   N   T3   SD: 0.0051 c. M: 0.0081 c. 
 2086: 1191 475 420   N   T3   SD: 0.0052 c. M: 0.0065 c. 
 2270: 1296 517 457   N   T3   SD: 0.0039 c. M: 0.0056 c. 

 1 x x 2  S SD: 701.9467 cents
 2 x x 3  S SD: 203.9017 cents
 3 x x 4  S SD: 0.0083 cents
 4 x 5 x  S SD: 11.4669 cents
 5:6 x 7  S SD: 45.0334 cents
 6:7 x 8  S SD: 8.7429 cents
 7:8:9 x  S SD: 32.4806 cents
 8:9:10:11  H SD: 32.3871 cents
 9 x 11:12    SD: 25.1863 cents
 10:12 x 13  S SD: 26.9287 cents
 11:13:14:15    SD: 14.6277 cents
 12:14:15:16  S SD: 6.9701 cents
 23:27:29:31    SD: 6.7344 cents
 27:32:34:36    SD: 3.2885 cents
 39:46:49:52    SD: 0.9932 cents
 123:145:155:164    SD: 0.8677 cents
 135:159:170:180    SD: 0.5650 cents
 162:191:204:216    SD: 0.5011 cents
 174:205:219:232    SD: 0.2235 cents
 213:251:268:284    SD: 0.0667 cents