Scala analysis: 705_S14

  0:          1/1               0.000000 unison, perfect prime
  1:        284.592 cents     284.591820
  2:        397.886 cents     397.885930
  3:        498.159 cents     498.158640

  0:        100.2727 cents    100.2727
  1:        284.5918 cents    284.5918
  2:        113.2941 cents    113.2941
  3:        100.2727 cents    100.2727

Interval class, Number of incidences, Size:
  1:   1 100.27271 cents
  1:   1 113.29411 cents
  1:   1 284.59182 cents
  2:   1 213.56682 cents
  2:   1 384.86453 cents
  2:   1 397.88593 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  : 284.6 397.9 498.2
 284.6: 113.3 213.6 498.2
 397.9: 100.3 384.9 498.2
 498.2

Interval class, Interval span, Span size, Gap to prev. class:
  1:  100.2727  .. 284.5918 cents      184.31911 cents                    100.27271 cents
  2:  213.5668  .. 397.8859 cents      184.31911 cents                   -71.02500 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 100.27271 cents, class 1
Average step (divided formal octave): 166.0529 cents
Largest one step interval           : 284.59182 cents
Average / Smallest step             : 1.656013
Largest / Average step              : 1.713863
Largest / Smallest step             : 2.838178
Median interval of one step         : 113.29411 cents, amount: 1
Least squares average step          : 183.91711 cents, oct.:  551.75134 cents
Scale is not proper
Scale has trivalence property
Scale is a mode of a 1873-tone equal temperament with octave  498.159 cents
  degrees: 1070 1496 1873
Least number of segments generator  : 937 of 249.212 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1659 of 441.241 cents and inv.
  generated superset size: 43 = 40 more = 1433.333%
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 71.02500 cents
Scale diversity                     : 1.125577
Lumma stability                     : 0.402573
Lumma impropriety factor            : 0.142575
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        : 13.02140 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 171.2977 cents:
 1
-- Rational properties --

  3:  2 0 1   N G T3   SD: 46.8494 c. M: 65.7802 c. 
  4:  2 1 1   P M ME S SD: 24.8329 c. M: 35.5125 c. 
  5:  3 1 1   N M DE S SD: 8.2663 c. M:-14.3034 c. 
  9:  5 2 2   N M DE S SD: 7.5319 c. M: 10.4292 c. 
 14:  8 3 3   N M DE S SD: 3.7389 c. M: 6.4756 c. 
 19:  11 4 4   N M DE S SD: 3.4519 c. M: 4.6028 c. 
 21:  12 5 4   N   T3   SD: 3.1095 c. M:-5.3854 c. 
 26:  15 6 5   N   T3   SD: 3.0490 c. M:-4.4730 c. 
 30:  17 7 6   N   T3   SD: 1.3796 c. M: 2.3019 c. 
 35:  20 8 7   N   T3   SD: 0.3723 c. M:-0.6410 c. 
 84:  48 19 17   N   T3   SD: 0.3173 c. M: 0.5451 c. 
 114: 65 26 23   N   T3   SD: 0.3470 c. M: 0.5540 c. 
 119: 68 27 24   N   T3   SD: 0.1204 c. M: 0.1963 c. 
 154: 88 35 31   N   T3   SD: 0.0407 c. M:-0.0703 c. 
 497: 284 113 100   N   T3   SD: 0.0466 c. M:-0.0703 c. 
 576: 329 131 116   N   T3   SD: 0.0425 c. M: 0.0533 c. 
 611: 349 139 123   N   T3   SD: 0.0275 c. M: 0.0462 c. 
 646: 369 147 130   N   T3   SD: 0.0269 c. M: 0.0399 c. 
 730: 417 166 147   N   T3   SD: 0.0286 c. M: 0.0414 c. 
 765: 437 174 154   N   T3   SD: 0.0144 c. M: 0.0228 c. 
 800: 457 182 161   N   T3   SD: 0.0151 c. M: 0.0187 c. 
 919: 525 209 185   N   T3   SD: 0.0069 c. M: 0.0095 c. 
 1073: 613 244 216   N   T3   SD: 0.0057 c. M: 0.0090 c. 
 1873: 1070 426 377   N   T3   SD: 0.0036 c. M: 0.0057 c. 
 2027: 1158 461 408   N   T3   SD: 0.0012 c. M:-0.0020 c. 

 1 x x 2  S SD: 701.8414 cents
 2 x x 3  S SD: 203.7964 cents
 3 x x 4  S SD: 0.1136 cents
 4 x 5 x  S SD: 11.5722 cents
 5:6 x 7  S SD: 44.9433 cents
 6:7 x 8  S SD: 8.8606 cents
 7:8:9 x  S SD: 32.5467 cents
 8:9:10:11  H SD: 32.4369 cents
 9 x 11:12    SD: 25.2391 cents
 10:12 x 13  S SD: 26.9036 cents
 11:13:14:15    SD: 14.5723 cents
 12:14:15:16  S SD: 7.0550 cents
 23:27:29:31    SD: 6.7227 cents
 27:32:34:36    SD: 3.2065 cents
 39:46:49:52    SD: 0.9907 cents
 123:145:155:164    SD: 0.8216 cents
 135:159:170:180    SD: 0.5946 cents
 162:191:204:216    SD: 0.4367 cents
 174:205:219:232    SD: 0.2746 cents
 201:237:253:268    SD: 0.2619 cents
 213:251:268:284    SD: 0.1560 cents
 375:442:472:500    SD: 0.1353 cents
 414:488:521:552    SD: 0.0616 cents