Scala analysis: 658_T65

  0:          1/1               0.000000 unison, perfect prime
  1:        166.667 cents     166.666670
  2:        333.333 cents     333.333330
  3:        500.000 cents     500.000000

  0:        166.6667 cents    166.6667
  1:        166.6667 cents    166.6667
  2:        166.6667 cents    166.6667
  3:        166.6667 cents    166.6667

Interval class, Number of incidences, Size:
  1:   3 166.66667 cents
  2:   3 333.33333 cents
Only one interval per interval class, scale is equal tempered
Average number of different intervals per interval class: 1.00000 = 1

        1     2     3    
 0.0  : 166.7 333.3 500.0
 166.7: 166.7 333.3 500.0
 333.3: 166.7 333.3 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  166.6667  .. 166.6667 cents      1/1, 0.0000 cents                  166.66667 cents
  2:  333.3333  .. 333.3333 cents      1/1, 0.0000 cents                  166.66666 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 166.66666 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 166.66667 cents
Average / Smallest step             : 1.000000
Largest / Average step              : 1.000000
Largest / Smallest step             : 1.000000
Median interval of one step         : 166.66667 cents, amount: 3
Most common interval of one step    : 166.66667 cents, amount: 3
Least squares average step          : 166.66667 cents, oct.:  500.00000 cents
Scale is strictly proper
Scale is equal tempered
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a Constant Structure, by a margin of 166.66667 cents
Scale diversity                     : 1.000000
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 1.000000
Rothenberg efficiency               : 0.333333   redundancy: 0.666667
Efficiency x scale size             : 1.000000
Number of different interval sizes  : 2 = 1.00000 / class
Number of one step interval sizes   : 1
Mean interval variety               : 1.00000 = 1
Lowest interval variety             : 1
Number of recognisable fifths       : 0
Number of recognisable fourths      : 3, average 500.0000 cents
Best fifths form a closed circle
Best major thirds form a closed circle
Best minor thirds form a closed circle
Limited transpositions              : all
Inversional symmetry on degrees     : all
Inversional symmetry on intervals   : all
-- Rational properties --

  3:  1 1 1  SP B ME I 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: 52.9804 cents
 5 x 6:7  S SD: 42.1938 cents
 6 x 7:8  S SD: 33.2456 cents
 7:8 x 9  S SD: 45.7583 cents
 8:9:10:11  H SD: 27.5429 cents
 9:10:11:12  H SD: 7.0677 cents
 28:31:34:37    SD: 6.7041 cents
 29:32:35:39    SD: 5.1752 cents
 38:42:46:51    SD: 3.9229 cents
 39:43:47:52    SD: 3.5857 cents
 42:46:51:56    SD: 3.2624 cents
 48:53:58:64    SD: 2.5880 cents
 51:56:62:68    SD: 2.3418 cents
 60:66:73:80    SD: 2.2328 cents
 71:78:86:95    SD: 1.9552 cents
 80:88:97:107    SD: 1.2782 cents
 89:98:108:119    SD: 1.1133 cents
 90:99:109:120    SD: 1.0327 cents
 99:109:120:132    SD: 0.6594 cents
 170:187:206:227    SD: 0.6458 cents
 179:197:217:239    SD: 0.3035 cents
 188:207:228:251    SD: 0.2390 cents
 278:306:337:371    SD: 0.2259 cents
 287:316:348:383    SD: 0.1817 cents
 415:457:503:554    SD: 0.1593 cents
 466:513:565:622    SD: 0.1232 cents