Scala analysis: 631_T38

  0:          1/1               0.000000 unison, perfect prime
  1:         83.333 cents      83.333330
  2:        233.333 cents     233.333330
  3:        500.000 cents     500.000000

  0:        266.6667 cents    266.6667
  1:         83.3333 cents     83.3333
  2:        150.0000 cents    150.0000
  3:        266.6667 cents    266.6667

Interval class, Number of incidences, Size:
  1:   1 83.33333 cents
  1:   1 150.00000 cents
  1:   1 266.66667 cents
  2:   1 233.33333 cents
  2:   1 350.00000 cents
  2:   1 416.66667 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  : 83.3  233.3 500.0
 83.3 : 150.0 416.7 500.0
 233.3: 266.7 350.0 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  83.3333   .. 266.6667 cents      183.33334 cents                    83.33333 cents
  2:  233.3333  .. 416.6667 cents      183.33334 cents                   -33.33334 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 83.33333 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 266.66667 cents
Average / Smallest step             : 2.000000
Largest / Average step              : 1.600000
Largest / Smallest step             : 3.200000
Median interval of one step         : 150.00000 cents, amount: 1
Least squares average step          : 146.42857 cents, oct.:  439.28571 cents
Scale is not proper
Scale has trivalence property
Scale is a mode of a 30-tone equal temperament with octave  500.000 cents
  degrees: 5 14 30
Least number of segments generator  : 17 of 283.333 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 23 of 383.333 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 : SML
Interval vector is [ 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 33.33334 cents
Scale diversity                     : 1.105222
Lumma stability                     : 0.333333
Lumma impropriety factor            : 0.066667
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        : 33.33334 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best minor thirds form a closed circle
Steps are strictly increasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --

  3:  0 1 2   N G T3   SD: 61.6141 c. M: 83.3333 c. 
  4:  1 1 2   P M ME S SD: 25.9094 c. M:-41.6667 c. 
  5:  1 1 3   N M DE S SD: 21.5166 c. M: 33.3333 c. 
  6:  1 2 3   P   T3   SD: 9.6225 c. M:-16.6667 c. 
 11:  2 3 6   N   T3   SD: 5.6013 c. M:-7.5758 c. 
 13:  2 4 7   N   T3   SD: 3.9861 c. M: 6.4103 c. 
 17:  3 5 9   N   T3   SD: 3.0482 c. M:-4.9020 c. 
 19:  3 6 10   N   T3   SD: 3.2428 c. M: 4.3860 c. 
 24:  4 7 13   N   T3   SD: 2.4056 c. M: 4.1667 c. 
 30:  5 9 16   N   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 x 5  S SD: 113.6863 cents
 5 x 6:7  S SD: 58.2728 cents
 6 x 7:8  S SD: 16.7973 cents
 7 x 8:9  S SD: 32.4759 cents
 8 x 9:11    SD: 29.5773 cents
 9 x 10:12  S SD: 25.4836 cents
 10 x 11:13    SD: 41.1255 cents
 11:12:13:15    SD: 31.6532 cents
 12:13:14:16  S SD: 21.5509 cents
 13:14:15:17    SD: 19.7056 cents
 14:15:16:19    SD: 15.3894 cents
 15:16:17:20    SD: 10.9918 cents
 19:20:22:25    SD: 10.8948 cents
 20:21:23:27    SD: 7.1334 cents
 21:22:24:28  S SD: 1.3459 cents
 83:87:95:111    SD: 1.2556 cents
 104:109:119:139    SD: 1.0008 cents
 125:131:143:167    SD: 0.8908 cents
 146:153:167:195    SD: 0.8543 cents
 161:169:184:215    SD: 0.7876 cents
 179:188:205:239    SD: 0.7377 cents
 182:191:208:243    SD: 0.7372 cents
 200:210:229:267    SD: 0.5274 cents
 221:232:253:295    SD: 0.3622 cents
 242:254:277:323    SD: 0.2368 cents
 263:276:301:351    SD: 0.1592 cents
 284:298:325:379    SD: 0.1501 cents
 547:574:626:730    SD: 0.1456 cents