Scala analysis: 604_T11

Aristoxenian style tetrachord 4 + 4 + 22, Aristoxenos

Generated by Scala: https://www.huygens-fokker.org/scala/

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         66.667 cents      66.666670
  2:        133.333 cents     133.333330
  3:        500.000 cents     500.000000
SHOW/INTERVAL
  0:        366.6667 cents    366.6667
  1:         66.6667 cents     66.6667
  2:         66.6667 cents     66.6667
  3:        366.6667 cents    366.6667
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   2 66.66667 cents
  1:   1 366.66667 cents
  2:   1 133.33333 cents
  2:   2 433.33333 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
        1     2     3    
 0.0  : 66.7  133.3 500.0
 66.7 : 66.7  433.3 500.0
 133.3: 366.7 433.3 500.0
 500.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  66.6667   .. 366.6667 cents      300.00000 cents                    66.66667 cents
  2:  133.3333  .. 433.3333 cents      300.00000 cents                   -233.33334 cents
SHOW DATA
Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 66.66666 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 366.66667 cents
Average / Smallest step             : 2.500000
Largest / Average step              : 2.200000
Largest / Smallest step             : 5.500001
Median interval of one step         : 66.66667 cents, amount: 2
Most common interval of one step    : 66.66667 cents, amount: 2
Least squares average step          : 130.95238 cents, oct.:  392.85714 cents
Scale is not proper
Scale has Myhill's property
  chromas: 300.00000 cents and 233.33333 cents, ratio: 1.285714
  generators: 1 of 66.66667 cents and 433.33333 cents
ET pair of linear temperament       : 30&19999994
Scale is distributional even
Scale is a mode of a 15-tone equal temperament with octave  500.000 cents
  degrees: 2 4 15
  generators: 2 and 13
Number of contiguous 1-step segments: 0
Step pattern alph. order: AAB
Step pattern size order : SSL
Interval vector is [ 0 2 0 1 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 66.66666 cents
Scale diversity                     : 0.680284
Lumma stability                     : 0.266667
Lumma impropriety factor            : 0.466667
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        : 66.66666 cents
Most common intervals               : 66.66667 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
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 --
FIT/MODE
  3:  0 1 2   N G T3   SD: 43.0332 c. M: 66.6667 c. 
  4:  0 1 3   N G T3   SD: 38.7896 c. M: 66.6667 c. 
  5:  1 0 4   N G T3   SD: 27.2165 c. M:-33.3333 c. 
  6:  1 1 4   N M DE S SD: 21.5166 c. M:-33.3333 c. 
  7:  1 1 5   N M DE S SD: 6.1476 c. M:-9.5238 c. 
  8:  1 1 6   N M DE S SD: 5.3791 c. M: 8.3333 c. 
 15:  2 2 11   N M DE S SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 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: 100.0556 cents
 6 x 7:8  S SD: 66.7759 cents
 7 x 8:9  S SD: 58.7088 cents
 8 x 9:11    SD: 43.6308 cents
 9 x 10:12  S SD: 24.5547 cents
 10 x 11:13    SD: 27.8362 cents
 11 x 12:15  S SD: 20.4008 cents
 12 x 13:16    SD: 2.7961 cents
 13 x 14:17    SD: 17.9634 cents
 14 x 15:19    SD: 15.9366 cents
 15 x 16:20  S SD: 10.8452 cents
 16 x 17:21    SD: 20.3658 cents
 17:18 x 23    SD: 19.9141 cents
 18:19 x 24    SD: 13.5036 cents
 21:22:23:28    SD: 9.3090 cents
 23:24:25:31    SD: 7.0834 cents
 24:25:26:32    SD: 2.2930 cents
 50:52:54:67    SD: 2.2644 cents
 51:53:55:68    SD: 1.0878 cents
 75:78:81:100    SD: 0.7712 cents
 125:130:135:167    SD: 0.6492 cents
 176:183:190:235    SD: 0.4299 cents
 200:208:216:267    SD: 0.4182 cents
 251:261:271:335    SD: 0.3886 cents
 361:375:390:482    SD: 0.3367 cents
 385:400:416:514    SD: 0.3118 cents
 412:428:445:550    SD: 0.2414 cents
 436:453:471:582    SD: 0.1886 cents
 487:506:526:650    SD: 0.1489 cents
 511:531:552:682    SD: 0.1443 cents
 588:611:635:785    SD: 0.1344 cents