Scala analysis: 648_T55

  0:          1/1               0.000000 unison, perfect prime
  1:         83.333 cents      83.333330
  2:        283.333 cents     283.333330
  3:        500.000 cents     500.000000

  0:        216.6667 cents    216.6667
  1:         83.3333 cents     83.3333
  2:        200.0000 cents    200.0000
  3:        216.6667 cents    216.6667

Interval class, Number of incidences, Size:
  1:   1 83.33333 cents
  1:   1 200.00000 cents
  1:   1 216.66667 cents
  2:   1 283.33333 cents
  2:   1 300.00000 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  283.3 500.0
 83.3 : 200.0 416.7 500.0
 283.3: 216.7 300.0 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  83.3333   .. 216.6667 cents      133.33334 cents                    83.33333 cents
  2:  283.3333  .. 416.6667 cents      133.33334 cents                    66.66666 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           : 216.66667 cents
Average / Smallest step             : 2.000000
Largest / Average step              : 1.300000
Largest / Smallest step             : 2.600000
Median interval of one step         : 200.00000 cents, amount: 1
Least squares average step          : 153.57143 cents, oct.:  460.71428 cents
Scale is strictly proper
Scale has trivalence property
Scale is a mode of a 30-tone equal temperament with octave  500.000 cents
  degrees: 5 17 30
Least number of segments generator  : 17 of 283.333 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 17 of 283.333 cents and inv.
  generated superset size: 7 = 4 more = 233.333%
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 0 0 0 1 1 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 66.66666 cents
Scale diversity                     : 1.008382
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.466667
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        : 16.66667 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
Steps are strictly increasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions with margin 116.6667 cents:
 1
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 56.1084 c. M:-83.3333 c. 
  4:  1 1 2   P M ME S SD: 30.8070 c. M:-41.6667 c. 
  5:  1 2 2  SP M ME S SD: 13.6083 c. M:-16.6667 c. 
  7:  1 3 3  SP M DE S SD: 7.0093 c. M: 11.9048 c. 
 11:  2 4 5  SP   T3   SD: 7.5251 c. M: 10.6061 c. 
 12:  2 5 5  SP M DE S SD: 4.8113 c. M:-8.3333 c. 
 18:  3 7 8  SP   T3   SD: 3.2075 c. M: 5.5556 c. 
 23:  4 9 10  SP   T3   SD: 2.1333 c. M:-3.6232 c. 
 25:  4 10 11  SP   T3   SD: 2.7217 c. M: 3.3333 c. 
 30:  5 12 13  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: 102.9804 cents
 5 x 6:7  S SD: 44.3059 cents
 6 x 7:8  S SD: 8.2891 cents
 7 x 8:9  S SD: 41.6373 cents
 8 x 9:11    SD: 47.2800 cents
 9:10:11:12  H SD: 39.3338 cents
 10:11:12:13  H SD: 33.0157 cents
 11:12:13:15    SD: 25.6681 cents
 12:13:14:16  S SD: 19.2245 cents
 15:16:18:20  S SD: 14.3530 cents
 16:17:19:21    SD: 13.0057 cents
 17:18:20:23    SD: 9.3790 cents
 18:19:21:24    SD: 6.5004 cents
 21:22:25:28    SD: 6.2750 cents
 38:40:45:51    SD: 4.7858 cents
 39:41:46:52    SD: 1.5057 cents
 84:88:99:112    SD: 1.1964 cents
 101:106:119:135    SD: 0.8069 cents
 140:147:165:187    SD: 0.6508 cents
 164:172:193:219    SD: 0.6083 cents
 185:194:218:247    SD: 0.4757 cents
 203:213:239:271    SD: 0.2410 cents
 242:254:285:323    SD: 0.1725 cents
 427:448:503:570    SD: 0.1140 cents