Scala analysis: xen18-erlich-luna-03

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

  0:        193.1960 cents    193.1960
  1:        193.1960 cents    193.1960
  2:        813.5880 cents    813.5880
  3:        193.1960 cents    193.1960

Interval class, Number of incidences, Size:
  1:   2 193.19600 cents
  1:   1 813.58800 cents
  2:   1 386.39200 cents
  2:   2 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     
 0.0   : 193.2 1006.8 1200.0
 193.2 : 813.6 1006.8 1200.0
 1006.8: 193.2 386.4  1200.0
 1200.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  193.1960  .. 813.5880 cents      620.39200 cents                    193.19600 cents
  2:  386.3920  .. 1006.7840 cents     620.39200 cents                   -427.19600 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 193.19600 cents, class 1
Average step (divided formal octave): 399.9933 cents
Largest one step interval           : 813.58800 cents
Average / Smallest step             : 2.070402
Largest / Average step              : 2.034004
Largest / Smallest step             : 4.211205
Median interval of one step         : 193.19600 cents, amount: 2
Most common interval of one step    : 193.19600 cents, amount: 2
Least squares average step          : 414.76457 cents, oct.:  1244.29371 cents
Scale is not proper
Scale has Myhill's property
  chromas: 620.39200 cents and 427.19600 cents, ratio: 1.452242
  generators: 1 of 193.19600 cents and 2 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: 71 370 441
  generators: 71 and 370
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABA
Step pattern size order : SLS
Scale is a Constant Structure, by a margin of 193.19600 cents
Scale diversity                     : 1.336113
Lumma stability                     : 0.321999
Lumma impropriety factor            : 0.356003
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        : 193.19600 cents
Most common intervals               : 193.19600 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Formal octave complements present   : 3 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 1-2
-- Rational properties --

  3:  0 2 1   N G T3   SD: 163.3910 c. M: 206.7973 c. 
  4:  0 3 1   N G T3   SD: 127.4503 c. M: 193.1960 c. 
  5:  1 3 1   N M DE I SD: 38.2120 c. M:-46.8000 c. 
  6:  1 4 1   N M DE I SD: 5.5527 c. M:-6.8007 c. 
 19:  3 13 3   N M DE I SD: 3.0418 c. M:-3.7255 c. 
 25:  4 17 4   N M DE I SD: 0.9791 c. M: 1.1992 c. 
 31:  5 21 5   N M DE I SD: 0.2851 c. M:-0.3492 c. 
 56:  9 38 9   N M DE I SD: 0.2793 c. M:-0.3421 c. 
 87:  14 59 14   N M DE I SD: 0.0782 c. M:-0.0958 c. 
 118: 19 80 19   N M DE I SD: 0.0172 c. M:-0.0211 c. 
 323: 52 219 52   N M DE I SD: 0.0085 c. M:-0.0104 c. 
 441: 71 299 71   N M DE I SD: 0.0016 c. M: 0.0019 c. 
 1000: 161 678 161   N M DE I SD: 0.0006 c. M: 0.0008 c. 
 1441: 232 977 232   N M DE I SD: 0.0000 c. M:-0.0001 c. 

 1 x x 2  S SD: 0.0200 cents
 2 x x 4  S SD: 0.0200 cents