Scala analysis: xen18-erlich-luna-04

  0:          1/1               0.000000 unison, perfect prime
  1:        193.196 cents     193.196000
  2:        813.588 cents     813.588000
  3:       1006.784 cents    1006.784000
  4:       1199.980 cents    1199.980000

  0:        193.1960 cents    193.1960
  1:        193.1960 cents    193.1960
  2:        620.3920 cents    620.3920
  3:        193.1960 cents    193.1960
  4:        193.1960 cents    193.1960

Interval class, Number of incidences, Size:
  1:   3 193.19600 cents
  1:   1 620.39200 cents
  2:   2 386.39200 cents
  2:   2 813.58800 cents
  3:   1 579.58800 cents
  3:   3 1006.78400 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      4     
 0.0   : 193.2 813.6 1006.8 1200.0
 193.2 : 620.4 813.6 1006.8 1200.0
 813.6 : 193.2 386.4 579.6  1200.0
 1006.8: 193.2 386.4 1006.8 1200.0
 1200.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  193.1960  .. 620.3920 cents      427.19600 cents                    193.19600 cents
  2:  386.3920  .. 813.5880 cents      427.19600 cents                   -234.00000 cents
  3:  579.5880  .. 1006.7840 cents     427.19600 cents                   -234.00000 cents

Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 193.19600 cents, class 1
Average step (divided formal octave): 299.9950 cents
Largest one step interval           : 620.39200 cents
Average / Smallest step             : 1.552801
Largest / Average step              : 2.068008
Largest / Smallest step             : 3.211205
Median interval of one step         : 193.19600 cents, amount: 3
Most common interval of one step    : 193.19600 cents, amount: 3
Least squares average step          : 321.35480 cents, oct.:  1285.41920 cents
Scale is not proper
Scale has Myhill's property
  chromas: 427.19600 cents and 234.00000 cents, ratio: 1.825624
  generators: 1 of 193.19600 cents and 3 of 1006.78400 cents
ET pair of linear temperament       : 25&31
Scale is distributional even
Scale is a mode of a 441-tone equal temperament with octave  1199.980 cents
  degrees: 71 299 370 441
  generators: 71 and 370
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABAA
Step pattern size order : SLSS
Scale is a Constant Structure, by a margin of 40.80400 cents
Scale diversity                     : 1.337074
Lumma stability                     : 0.321999
Lumma impropriety factor            : 0.356003
Rothenberg efficiency               : 0.833333   redundancy: 0.166667
Efficiency x scale size             : 3.333333
Number of different interval sizes  : 6 = 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        : 40.80400 cents
Most common intervals               : 193.19600 cents & inv., amount: 3
Scale is a chain of 2 triads 0.0 193.196 1006.784 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Formal octave complements present   : 3 = 75.0000%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions      :
 3
Inversional symmetry on intervals   :
 1-2 3-4
-- Rational properties --

  4:  0 2 1 1   N   T3   SD: 153.5862 c. M: 213.5980 c. 
  5:  1 2 1 1   P M ME   SD: 57.3181 c. M: 93.6000 c. 
  6:  1 3 1 1   N M DE   SD: 8.3291 c. M: 13.6013 c. 
 19:  3 10 3 3   N M DE   SD: 4.5628 c. M:-7.4509 c. 
 25:  4 13 4 4   N M DE   SD: 1.4687 c. M:-2.3984 c. 
 31:  5 16 5 5   N M DE   SD: 0.4276 c. M: 0.6983 c. 
 56:  9 29 9 9   N M DE   SD: 0.4190 c. M:-0.6841 c. 
 87:  14 45 14 14   N M DE   SD: 0.1173 c. M:-0.1915 c. 
 118: 19 61 19 19   N M DE   SD: 0.0259 c. M: 0.0422 c. 
 323: 52 167 52 52   N M DE   SD: 0.0127 c. M:-0.0207 c. 
 441: 71 228 71 71   N M DE   SD: 0.0024 c. M:-0.0039 c. 
 1000: 161 517 161 161   N M DE   SD: 0.0010 c. M: 0.0016 c. 
 1441: 232 745 232 232   N M DE   SD: 0.0001 c. M:-0.0001 c. 

 1 x x x 2  S SD: 0.0200 cents
 2 x 3 x 4  S SD: 55.8165 cents
 3:4:5 x 6  S SD: 104.3186 cents
 4:5:6:7:8  H SD: 56.5670 cents
 5:6:8:9:10  S SD: 30.7304 cents
 6:7:10:11:12    SD: 27.6693 cents
 7:8:11:13:14    SD: 20.3464 cents
 8:9:13:14:16    SD: 11.9409 cents
 10:11:16:18:20    SD: 7.5486 cents
 15:17:24:27:30    SD: 6.4649 cents
 18:20:29:32:36    SD: 4.8525 cents
 25:28:40:45:50    SD: 2.8055 cents
 33:37:53:59:66    SD: 2.0720 cents
 42:47:67:75:84    SD: 1.5178 cents
 52:58:83:93:104    SD: 1.4545 cents
 60:67:96:107:120    SD: 1.4290 cents
 67:75:107:120:134    SD: 1.0866 cents
 75:84:120:134:150    SD: 0.9106 cents
 85:95:136:152:170    SD: 0.2106 cents
 270:302:432:483:540    SD: 0.1810 cents
 280:313:448:501:560    SD: 0.1447 cents
 355:397:568:635:710    SD: 0.1013 cents
 440:492:704:787:880    SD: 0.0657 cents
 525:587:840:939:1050    SD: 0.0609 cents