Scala analysis: 684_T91

  0:          1/1               0.000000 unison, perfect prime
  1:        225.000 cents     225.000000
  2:        300.000 cents     300.000000
  3:        500.000 cents     500.000000

  0:        200.0000 cents    200.0000
  1:        225.0000 cents    225.0000
  2:         75.0000 cents     75.0000
  3:        200.0000 cents    200.0000

Interval class, Number of incidences, Size:
  1:   1 75.00000 cents
  1:   1 200.00000 cents
  1:   1 225.00000 cents
  2:   1 275.00000 cents
  2:   1 300.00000 cents
  2:   1 425.00000 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  : 225.0 300.0 500.0
 225.0: 75.0  275.0 500.0
 300.0: 200.0 425.0 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  75.0000   .. 225.0000 cents      150.00000 cents                    75.00000 cents
  2:  275.0000  .. 425.0000 cents      150.00000 cents                    50.00000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 75.00000 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 225.00000 cents
Average / Smallest step             : 2.222222
Largest / Average step              : 1.350000
Largest / Smallest step             : 3.000000
Median interval of one step         : 200.00000 cents, amount: 1
Least squares average step          : 166.07143 cents, oct.:  498.21429 cents
Scale is strictly proper
Scale has trivalence property
Scale is a mode of a 20-tone equal temperament with octave  500.000 cents
  degrees: 9 12 20
Least number of segments generator  : 11 of 275.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 17 of 425.000 cents and inv.
  generated superset size: 5 = 2 more = 166.667%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : LSM
Interval vector is [ 0 0 1 0 0 0 0 1 1 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 50.00000 cents
Scale diversity                     : 0.954867
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.400000
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        : 25.00000 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best major thirds form a closed circle
Best minor thirds form a closed circle
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 38.7896 c. M: 58.3333 c. 
  4:  2 0 2   P M DE I SD: 32.2749 c. M: 50.0000 c. 
  5:  2 1 2  SP M ME I SD: 14.4338 c. M: 25.0000 c. 
  7:  3 1 3  SP M DE I SD: 10.3098 c. M: 14.2857 c. 
 13:  6 2 5  SP   T3   SD: 5.5514 c. M:-7.6923 c. 
 15:  7 2 6  SP   T3   SD: 4.8113 c. M:-8.3333 c. 
 18:  8 3 7  SP   T3   SD: 3.5861 c. M:-5.5556 c. 
 20:  9 3 8  SP   T3   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 5 x  S SD: 86.3137 cents
 5 x 6:7  S SD: 41.9908 cents
 6 x 7:8  S SD: 16.5934 cents
 7:8 x 9  S SD: 32.6044 cents
 9:10:11:12  H SD: 21.2545 cents
 11 x 13:15    SD: 19.2470 cents
 12 x 14:16  S SD: 16.5934 cents
 13:15 x 17    SD: 21.1101 cents
 14:16:17:19    SD: 15.5149 cents
 15:17:18:20    SD: 5.9403 cents
 18 x 21:24  S SD: 16.5934 cents
 19:22:23:25    SD: 16.3139 cents
 20:23:24:27    SD: 10.0806 cents
 21:24:25:28    SD: 2.2448 cents
 57:65:68:76    SD: 2.0967 cents
 78:89:93:104    SD: 1.9913 cents
 80:91:95:107    SD: 1.5602 cents
 95:108:113:127    SD: 1.3189 cents
 101:115:120:135    SD: 0.9421 cents
 116:132:138:155    SD: 0.7650 cents
 122:139:145:163    SD: 0.6852 cents
 137:156:163:183    SD: 0.4905 cents
 158:180:188:211    SD: 0.4742 cents
 259:295:308:346    SD: 0.4732 cents
 260:296:309:347    SD: 0.4097 cents
 275:313:327:367    SD: 0.3376 cents
 281:320:334:375    SD: 0.3203 cents
 296:337:352:395    SD: 0.2158 cents
 317:361:377:423    SD: 0.1995 cents
 418:476:497:558    SD: 0.1109 cents
 439:500:522:586    SD: 0.1076 cents