Scala analysis: xen18-erlich-luna-05

  0:          1/1               0.000000 unison, perfect prime
  1:        193.196 cents     193.196000
  2:        386.392 cents     386.392000
  3:        813.588 cents     813.588000
  4:       1006.784 cents    1006.784000
  5:       1199.980 cents    1199.980000

  0:        193.1960 cents    193.1960
  1:        193.1960 cents    193.1960
  2:        193.1960 cents    193.1960
  3:        427.1960 cents    427.1960
  4:        193.1960 cents    193.1960
  5:        193.1960 cents    193.1960

Interval class, Number of incidences, Size:
  1:   4 193.19600 cents
  1:   1 427.19600 cents
  2:   3 386.39200 cents
  2:   2 620.39200 cents
  3:   2 579.58800 cents
  3:   3 813.58800 cents
  4:   1 772.78400 cents
  4:   4 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      5     
 0.0   : 193.2 386.4 813.6 1006.8 1200.0
 193.2 : 193.2 620.4 813.6 1006.8 1200.0
 386.4 : 427.2 620.4 813.6 1006.8 1200.0
 813.6 : 193.2 386.4 579.6 772.8  1200.0
 1006.8: 193.2 386.4 579.6 1006.8 1200.0
 1200.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  193.1960  .. 427.1960 cents      234.00000 cents                    193.19600 cents
  2:  386.3920  .. 620.3920 cents      234.00000 cents                   -40.80400 cents
  3:  579.5880  .. 813.5880 cents      234.00000 cents                   -40.80400 cents
  4:  772.7840  .. 1006.7840 cents     234.00000 cents                   -40.80400 cents

Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 193.19600 cents, class 1
Average step (divided formal octave): 239.9960 cents
Largest one step interval           : 427.19600 cents
Average / Smallest step             : 1.242241
Largest / Average step              : 1.780013
Largest / Smallest step             : 2.211205
Median interval of one step         : 193.19600 cents, amount: 4
Most common interval of one step    : 193.19600 cents, amount: 4
Least squares average step          : 244.25055 cents, oct.:  1221.25273 cents
Scale is not proper
Scale has Myhill's property
  chromas: 234.00000 cents and 40.80400 cents, ratio: 5.734732
  generators: 1 of 193.19600 cents and 4 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: 71 142 299 370 441
  generators: 71 and 370
Number of contiguous 1-step segments: 0
Step pattern alph. order: AABAA
Step pattern size order : SSLSS
Scale is a Constant Structure, by a margin of 40.80400 cents
Scale diversity                     : 1.224273
Lumma stability                     : 0.321999
Lumma impropriety factor            : 0.102012
Rothenberg efficiency               : 0.800000   redundancy: 0.200000
Efficiency x scale size             : 4.000000
Number of different interval sizes  : 8 = 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: 4
Scale is a chain of 2 triads 0.0 386.392 1006.784 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Formal octave complements present   : 5 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 2-3
-- Rational properties --

  5:  1 1 1 1 1  SP B ME I SD: 66.1852 c. M:-93.6000 c. 
  6:  1 1 2 1 1   P M ME I SD: 9.6176 c. M:-13.6013 c. 
 19:  3 3 7 3 3   N M DE I SD: 5.2686 c. M:-7.4509 c. 
 25:  4 4 9 4 4   N M DE I SD: 1.6959 c. M: 2.3984 c. 
 31:  5 5 11 5 5   N M DE I SD: 0.4938 c. M:-0.6983 c. 
 56:  9 9 20 9 9   N M DE I SD: 0.4838 c. M:-0.6841 c. 
 87:  14 14 31 14 14   N M DE I SD: 0.1354 c. M: 0.1915 c. 
 118: 19 19 42 19 19   N M DE I SD: 0.0299 c. M:-0.0422 c. 
 323: 52 52 115 52 52   N M DE I SD: 0.0147 c. M:-0.0207 c. 
 441: 71 71 157 71 71   N M DE I SD: 0.0027 c. M: 0.0039 c. 
 1000: 161 161 356 161 161   N M DE I SD: 0.0011 c. M: 0.0016 c. 
 1441: 232 232 513 232 232   N M DE I SD: 0.0001 c. M: 0.0001 c. 

 1 x x x x 2  S SD: 0.0200 cents
 2 x x 3 x 4  S SD: 55.8165 cents
 3 x 4:5 x 6  S SD: 44.0642 cents
 4 x 5:6:7:8  S SD: 29.4775 cents
 5 x 6:8:9:10  S SD: 17.8930 cents
 8:9:10:13:14:16    SD: 9.5527 cents
 15:17:19:24:27:30    SD: 6.9020 cents
 17:19:21:27:30:34    SD: 6.7380 cents
 20:22:25:32:36:40    SD: 6.0389 cents
 23:26:29:37:41:46    SD: 5.3343 cents
 24:27:30:38:43:48    SD: 4.2313 cents
 25:28:31:40:45:50    SD: 3.5860 cents
 32:36:40:51:57:64    SD: 2.9183 cents
 33:37:41:53:59:66    SD: 2.6915 cents
 43:48:54:69:77:86    SD: 2.0054 cents
 52:58:65:83:93:104    SD: 1.1637 cents
 60:67:75:96:107:120    SD: 1.1433 cents
 85:95:106:136:152:170    SD: 0.8482 cents
 100:112:125:160:179:200    SD: 0.6448 cents
 128:143:160:205:229:256    SD: 0.4515 cents
 152:170:190:243:272:304    SD: 0.3170 cents
 212:237:265:339:379:424    SD: 0.2793 cents
 228:255:285:365:408:456    SD: 0.2721 cents
 280:313:350:448:501:560    SD: 0.1168 cents
 440:492:550:704:787:880    SD: 0.0549 cents