Scala analysis: xen18-ayers-table-46

  0:          1/1               0.000000 unison, perfect prime
  1:        190.236 cents     190.236000
  2:        307.809 cents     307.809000
  3:        498.045 cents     498.045000

  0:        190.2360 cents    190.2360
  1:        190.2360 cents    190.2360
  2:        117.5730 cents    117.5730
  3:        190.2360 cents    190.2360

Interval class, Number of incidences, Size:
  1:   1 117.57300 cents
  1:   2 190.23600 cents
  2:   2 307.80900 cents
  2:   1 380.47200 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  : 190.2 307.8 498.0
 190.2: 117.6 307.8 498.0
 307.8: 190.2 380.5 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  117.5730  .. 190.2360 cents      72.66300 cents                     117.57300 cents
  2:  307.8090  .. 380.4720 cents      72.66300 cents                     117.57300 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 117.57300 cents, class 1
Average step (divided formal octave): 166.0150 cents
Largest one step interval           : 190.23600 cents
Average / Smallest step             : 1.412016
Largest / Average step              : 1.145896
Largest / Smallest step             : 1.618025
Median interval of one step         : 190.23600 cents, amount: 2
Most common interval of one step    : 190.23600 cents, amount: 2
Least squares average step          : 164.28493 cents, oct.:  492.85479 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 72.66300 cents and 44.91000 cents, ratio: 1.617969
  generators: 1 of 190.23600 cents and 2 of 307.80900 cents
ET pair of linear temperament       : 26&42
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 233-tone equal temperament with octave  498.045 cents
  degrees: 89 144 233
  generators: 89 and 144
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 117.57300 cents
Scale diversity                     : 1.172608
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.708207
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        : 72.66300 cents
Most common intervals               : 190.23600 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: 19.7764 c. M:-24.2210 c. 
  5:  2 1 2  SP M ME I SD: 7.3338 c. M:-8.9820 c. 
  8:  3 2 3  SP M ME I SD: 2.8325 c. M:-3.4691 c. 
 13:  5 3 5  SP M DE I SD: 1.0776 c. M:-1.3198 c. 
 21:  8 5 8  SP M DE I SD: 0.4120 c. M:-0.5046 c. 
 34:  13 8 13  SP M DE I SD: 0.1576 c. M:-0.1930 c. 
 55:  21 13 21  SP M DE I SD: 0.0599 c. M:-0.0734 c. 
 89:  34 21 34  SP M DE I SD: 0.0232 c. M:-0.0284 c. 
 144: 55 34 55  SP M DE I SD: 0.0086 c. M:-0.0105 c. 
 233: 89 55 89  SP M DE I SD: 0.0036 c. M:-0.0044 c. 
 377: 144 89 144  SP M DE I SD: 0.0011 c. M:-0.0013 c. 
 610: 233 144 233  SP M DE I SD: 0.0007 c. M:-0.0009 c. 
 987: 377 233 377  SP M DE I SD: 0.0000 c. M:-0.0000 c. 

 1 x x 2  S SD: 701.9550 cents
 2 x x 3  S SD: 203.9100 cents
 3 x x 4  S SD: 0.0000 cents
 4 x 5 x  S SD: 78.5047 cents
 5 x 6:7  S SD: 42.4148 cents
 6 x 7:8  S SD: 20.4690 cents
 7:8 x 9  S SD: 37.5500 cents
 8:9:10:11  H SD: 31.9513 cents
 9:10:11:12  H SD: 13.4554 cents
 15:17:18:20    SD: 9.1953 cents
 24:27:29:32    SD: 8.0246 cents
 25:28:30:33    SD: 6.6636 cents
 26:29:31:35    SD: 5.6448 cents
 27:30:32:36  S SD: 5.2528 cents
 35:39:42:47    SD: 4.9615 cents
 36:40:43:48    SD: 2.6116 cents
 42:47:50:56    SD: 2.4879 cents
 51:57:61:68    SD: 1.0582 cents
 87:97:104:116    SD: 0.7390 cents
 129:144:154:172    SD: 0.3852 cents
 180:201:215:240    SD: 0.2757 cents
 216:241:258:288    SD: 0.2217 cents
 267:298:319:356    SD: 0.0868 cents
 396:442:473:528    SD: 0.0674 cents