Scala analysis: 646_T53

  0:          1/1               0.000000 unison, perfect prime
  1:        133.333 cents     133.333330
  2:        266.667 cents     266.666670
  3:        500.000 cents     500.000000

  0:        233.3333 cents    233.3333
  1:        133.3333 cents    133.3333
  2:        133.3333 cents    133.3333
  3:        233.3333 cents    233.3333

Interval class, Number of incidences, Size:
  1:   2 133.33333 cents
  1:   1 233.33333 cents
  2:   1 266.66667 cents
  2:   2 366.66667 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 2.00000 = 2

        1     2     3    
 0.0  : 133.3 266.7 500.0
 133.3: 133.3 366.7 500.0
 266.7: 233.3 366.7 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  133.3333  .. 233.3333 cents      100.00000 cents                    133.33333 cents
  2:  266.6667  .. 366.6667 cents      100.00000 cents                    33.33334 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 133.33333 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 233.33333 cents
Average / Smallest step             : 1.250000
Largest / Average step              : 1.400000
Largest / Smallest step             : 1.750000
Median interval of one step         : 133.33333 cents, amount: 2
Most common interval of one step    : 133.33333 cents, amount: 2
Least squares average step          : 154.76190 cents, oct.:  464.28571 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 100.00000 cents and 33.33333 cents, ratio: 3.000000
  generators: 1 of 133.33333 cents and 366.66667 cents
ET pair of linear temperament       : 30&19999988
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 15-tone equal temperament with octave  500.000 cents
  degrees: 4 8 15
  generators: 4 and 11
Number of contiguous 1-step segments: 0
Step pattern alph. order: AAB
Step pattern size order : SSL
Interval vector is [ 0 0 0 2 0 0 1 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 33.33334 cents
Scale diversity                     : 1.240865
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.600000
Rothenberg efficiency               : 0.888889   redundancy: 0.111111
Efficiency x scale size             : 2.666667
Number of different interval sizes  : 4 = 2.00000 / class
Number of one step interval sizes   : 2
Highest interval variety            : 2
Mean interval variety               : 2.00000 = 2
Median interval variety             : 2
Lowest interval variety             : 2
Smallest interval difference        : 33.33334 cents
Most common intervals               : 133.33333 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best minor thirds form a closed circle
Steps are increasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions      :
 2
Inversional symmetry on degrees     :
 1
Inversional symmetry on intervals   :
 2-3
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 43.0331 c. M:-66.6667 c. 
  4:  1 1 2   P M ME S SD: 10.7583 c. M: 16.6667 c. 
 11:  3 3 5  SP M DE S SD: 3.9121 c. M:-6.0606 c. 
 15:  4 4 7  SP M DE S 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: 47.9760 cents
 6 x 7:8  S SD: 0.9828 cents
 7 x 8:9  S SD: 36.9926 cents
 8 x 9:11    SD: 40.5337 cents
 9:10:11:12  H SD: 31.5011 cents
 10:11:12:13  H SD: 24.7160 cents
 11:12:13:15    SD: 15.5384 cents
 12:13:14:16  S SD: 1.8653 cents
 78:84:91:104  S SD: 1.8017 cents
 89:96:104:119    SD: 1.5777 cents
 90:97:105:120    SD: 1.3853 cents
 101:109:118:135    SD: 1.2605 cents
 102:110:119:136    SD: 1.0897 cents
 113:122:132:151    SD: 1.0360 cents
 114:123:133:152    SD: 0.8848 cents
 125:135:146:167    SD: 0.8839 cents
 126:136:147:168    SD: 0.7531 cents
 138:149:161:184    SD: 0.6813 cents
 150:162:175:200    SD: 0.6560 cents
 227:245:265:303    SD: 0.5943 cents
 239:258:279:319    SD: 0.5128 cents
 251:271:293:335    SD: 0.4517 cents
 263:284:307:351    SD: 0.4111 cents
 275:297:321:367    SD: 0.3905 cents
 287:310:335:383    SD: 0.3877 cents
 313:338:365:418    SD: 0.3476 cents
 325:351:379:434    SD: 0.3015 cents
 337:364:393:450    SD: 0.2716 cents
 349:377:407:466    SD: 0.2587 cents
 439:474:512:586    SD: 0.2146 cents
 451:487:526:602    SD: 0.1714 cents
 463:500:540:618    SD: 0.1379 cents
 475:513:554:634    SD: 0.1189 cents
 487:526:568:650    SD: 0.1180 cents
 600:648:700:801    SD: 0.1022 cents