Scala analysis: xen18-erlich-father-03

  0:          1/1               0.000000 unison, perfect prime
  1:        447.400 cents     447.400000
  2:        738.500 cents     738.500000
  3:       1185.900 cents    1185.900000

  0:        447.4000 cents    447.4000
  1:        447.4000 cents    447.4000
  2:        291.1000 cents    291.1000
  3:        447.4000 cents    447.4000

Interval class, Number of incidences, Size:
  1:   1 291.10000 cents
  1:   2 447.40000 cents
  2:   2 738.50000 cents
  2:   1 894.80000 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   : 447.4 738.5 1185.9
 447.4 : 291.1 738.5 1185.9
 738.5 : 447.4 894.8 1185.9
 1185.9

Interval class, Interval span, Span size, Gap to prev. class:
  1:  291.1000  .. 447.4000 cents      156.30000 cents                    291.10000 cents
  2:  738.5000  .. 894.8000 cents      156.30000 cents                    291.10000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 291.10000 cents, class 1
Average step (divided formal octave): 395.3000 cents
Largest one step interval           : 447.40000 cents
Average / Smallest step             : 1.357953
Largest / Average step              : 1.131799
Largest / Smallest step             : 1.536929
Median interval of one step         : 447.40000 cents, amount: 2
Most common interval of one step    : 447.40000 cents, amount: 2
Least squares average step          : 391.57857 cents, oct.:  1174.73571 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 156.30000 cents and 134.80000 cents, ratio: 1.159496
  generators: 1 of 447.40000 cents and 2 of 738.50000 cents
ET pair of linear temperament       : 53&167
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 607-tone equal temperament with octave  1185.900 cents
  degrees: 229 378 607
  generators: 229 and 378
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABA
Step pattern size order : LSL
Scale is a Constant Structure, by a margin of 291.10000 cents
Scale diversity                     : 1.421108
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.736403
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        : 156.30000 cents
Most common intervals               : 447.40000 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
Best major thirds form a closed circle
Best minor thirds form a closed circle
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:  1 1 1  SP B ME I SD: 42.5395 c. M: 52.1000 c. 
  5:  2 1 2  SP M ME I SD: 22.0127 c. M: 26.9600 c. 
  8:  3 2 3  SP M ME I SD: 2.1943 c. M: 2.6875 c. 
 29:  11 7 11  SP M DE I SD: 1.9793 c. M: 2.4241 c. 
 37:  14 9 14  SP M DE I SD: 1.0769 c. M: 1.3189 c. 
 45:  17 11 17  SP M DE I SD: 0.4953 c. M:-0.6067 c. 
 53:  20 13 20  SP M DE I SD: 0.0894 c. M:-0.1094 c. 
 114: 43 28 43  SP M DE I SD: 0.0709 c. M: 0.0868 c. 
 167: 63 41 63  SP M DE I SD: 0.0200 c. M: 0.0246 c. 
 220: 83 54 83  SP M DE I SD: 0.0063 c. M: 0.0077 c. 
 387: 146 95 146  SP M DE I SD: 0.0051 c. M: 0.0062 c. 
 607: 229 149 229  SP M DE I SD: 0.0009 c. M: 0.0012 c. 
 1434: 541 352 541  SP M DE I SD: 0.0002 c. M: 0.0002 c. 
 2041: 770 501 770  SP M DE I SD: 0.0002 c. M: 0.0002 c. 

 1 x x 2  S SD: 14.1000 cents
 2 x 3:4  S SD: 19.5854 cents
 7:9:11:14    SD: 15.9366 cents
 10:13:15:20    SD: 13.2530 cents
 11:14:17:22    SD: 12.1174 cents
 13:17:20:26    SD: 7.7592 cents
 17:22:26:34    SD: 4.8127 cents
 34:44:52:67    SD: 3.9863 cents
 41:53:63:81    SD: 3.1007 cents
 47:61:72:93    SD: 1.9815 cents
 51:66:78:101    SD: 1.4294 cents
 58:75:89:115    SD: 1.2641 cents
 64:83:98:127    SD: 0.9428 cents
 109:141:167:216    SD: 0.8535 cents
 115:149:176:228    SD: 0.7603 cents
 122:158:187:242    SD: 0.3118 cents
 190:246:291:377    SD: 0.2144 cents
 312:404:478:619    SD: 0.0612 cents