Scala analysis: xen18-erlich-dicot-03

  0:          1/1               0.000000 unison, perfect prime
  1:        353.220 cents     353.220000
  2:        854.440 cents     854.440000
  3:       1207.660 cents    1207.660000

  0:        353.2200 cents    353.2200
  1:        353.2200 cents    353.2200
  2:        501.2200 cents    501.2200
  3:        353.2200 cents    353.2200

Interval class, Number of incidences, Size:
  1:   2 353.22000 cents
  1:   1 501.22000 cents
  2:   1 706.44000 cents
  2:   2 854.44000 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   : 353.2 854.4 1207.7
 353.2 : 501.2 854.4 1207.7
 854.4 : 353.2 706.4 1207.7
 1207.7

Interval class, Interval span, Span size, Gap to prev. class:
  1:  353.2200  .. 501.2200 cents      148.00000 cents                    353.22000 cents
  2:  706.4400  .. 854.4400 cents      148.00000 cents                    205.22000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 353.22000 cents, class 1
Average step (divided formal octave): 402.5533 cents
Largest one step interval           : 501.22000 cents
Average / Smallest step             : 1.139667
Largest / Average step              : 1.245102
Largest / Smallest step             : 1.419002
Median interval of one step         : 353.22000 cents, amount: 2
Most common interval of one step    : 353.22000 cents, amount: 2
Least squares average step          : 406.07714 cents, oct.:  1218.23143 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 148.00000 cents and 205.22000 cents, ratio: 1.386622
  generators: 1 of 353.22000 cents and 2 of 854.44000 cents
ET pair of linear temperament       : 17&24
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 359-tone equal temperament with octave  1207.660 cents
  degrees: 105 254 359
  generators: 105 and 254
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 205.22000 cents
Scale diversity                     : 1.322912
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.754898
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        : 148.00000 cents
Most common intervals               : 353.22000 cents & inv., amount: 2
Number of recognisable fifths       : 1, average 706.4400 cents
Number of recognisable fourths      : 1, average 501.2200 cents
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: 40.2805 c. M:-49.3333 c. 
  7:  2 3 2  SP M ME I SD: 6.6743 c. M:-8.1743 c. 
 17:  5 7 5  SP M DE I SD: 1.6119 c. M:-1.9741 c. 
 24:  7 10 7  SP M DE I SD: 0.8049 c. M:-0.9858 c. 
 41:  12 17 12  SP M DE I SD: 0.1972 c. M:-0.2415 c. 
 65:  19 27 19  SP M DE I SD: 0.1728 c. M:-0.2117 c. 
 106: 31 44 31  SP M DE I SD: 0.0297 c. M: 0.0364 c. 
 253: 74 105 74  SP M DE I SD: 0.0070 c. M:-0.0086 c. 
 359: 105 149 105  SP M DE I SD: 0.0038 c. M:-0.0047 c. 
 612: 179 254 179  SP M DE I SD: 0.0007 c. M:-0.0008 c. 
 1583: 463 657 463  SP M DE I SD: 0.0004 c. M: 0.0004 c. 
 2195: 642 911 642  SP M DE I SD: 0.0001 c. M:-0.0001 c. 

 1 x x 2  S SD: 7.6600 cents
 2 x 3:4  S SD: 76.3386 cents
 3:4:5:6  H SD: 49.3604 cents
 4:5:7:8    SD: 39.7744 cents
 5:6:8:10  S SD: 18.6539 cents
 8:10:13:16    SD: 12.2358 cents
 9:11:15:18    SD: 10.4753 cents
 13:16:21:26    SD: 8.7099 cents
 14:17:23:28    SD: 6.4622 cents
 17:21:28:34    SD: 5.8358 cents
 22:27:36:44    SD: 2.6636 cents
 58:71:95:117    SD: 2.6140 cents
 66:81:108:133    SD: 1.9551 cents
 75:92:123:151    SD: 1.4519 cents
 80:98:131:161    SD: 1.2353 cents
 88:108:144:177    SD: 1.0431 cents
 97:119:159:195    SD: 0.6007 cents
 102:125:167:205    SD: 0.5660 cents
 119:146:195:239    SD: 0.3516 cents
 221:271:362:444    SD: 0.0756 cents
 561:688:919:1127    SD: 0.0291 cents