Scala analysis: xen18-erlich-mavila-03

  0:          1/1               0.000000 unison, perfect prime
  1:        521.520 cents     521.520000
  2:        685.030 cents     685.030000
  3:       1206.550 cents    1206.550000

  0:        521.5200 cents    521.5200
  1:        521.5200 cents    521.5200
  2:        163.5100 cents    163.5100
  3:        521.5200 cents    521.5200

Interval class, Number of incidences, Size:
  1:   1 163.51000 cents
  1:   2 521.52000 cents
  2:   2 685.03000 cents
  2:   1 1043.04000 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   : 521.5 685.0  1206.5
 521.5 : 163.5 685.0  1206.5
 685.0 : 521.5 1043.0 1206.5
 1206.5

Interval class, Interval span, Span size, Gap to prev. class:
  1:  163.5100  .. 521.5200 cents      358.01000 cents                    163.51000 cents
  2:  685.0300  .. 1043.0400 cents     358.01000 cents                    163.51000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 163.51000 cents, class 1
Average step (divided formal octave): 402.1833 cents
Largest one step interval           : 521.52000 cents
Average / Smallest step             : 2.459686
Largest / Average step              : 1.296722
Largest / Smallest step             : 3.189530
Median interval of one step         : 521.52000 cents, amount: 2
Most common interval of one step    : 521.52000 cents, amount: 2
Least squares average step          : 393.65929 cents, oct.:  1180.97786 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 358.01000 cents and 194.50000 cents, ratio: 1.840668
  generators: 1 of 521.52000 cents and 2 of 685.03000 cents
ET pair of linear temperament       : 37&118
Scale is distributional even
Scale is a mode of a 428-tone equal temperament with octave  1206.550 cents
  degrees: 185 243 428
  generators: 185 and 243
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 163.51000 cents
Scale diversity                     : 1.327161
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.406556
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        : 163.51000 cents
Most common intervals               : 521.52000 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
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: 97.4380 c. M: 119.3367 c. 
  4:  2 0 2   P M DE I SD: 66.7527 c. M: 81.7550 c. 
  5:  2 1 2  SP M ME I SD: 31.7617 c. M: 38.9000 c. 
  7:  3 1 3  SP M DE I SD: 3.6147 c. M: 4.4271 c. 
 23:  10 3 10  SP M DE I SD: 2.5042 c. M: 3.0670 c. 
 30:  13 4 13  SP M DE I SD: 1.0764 c. M: 1.3183 c. 
 37:  16 5 16  SP M DE I SD: 0.1889 c. M: 0.2314 c. 
 81:  35 11 35  SP M DE I SD: 0.1398 c. M: 0.1712 c. 
 118: 51 16 51  SP M DE I SD: 0.0367 c. M: 0.0450 c. 
 155: 67 21 67  SP M DE I SD: 0.0171 c. M: 0.0210 c. 
 273: 118 37 118  SP M DE I SD: 0.0062 c. M: 0.0075 c. 
 428: 185 58 185  SP M DE I SD: 0.0023 c. M: 0.0028 c. 
 701: 303 95 303  SP M DE I SD: 0.0010 c. M: 0.0012 c. 
 1129: 488 153 488  SP M DE I SD: 0.0002 c. M: 0.0003 c. 

 1 x x 2  S SD: 6.5500 cents
 2 x 3:4  S SD: 9.0741 cents
 3:4 x 6  S SD: 12.1858 cents
 5:7 x 10    SD: 30.6714 cents
 6:8:9:12  S SD: 9.8907 cents
 14:19:21:28    SD: 6.5041 cents
 17:23:25:34    SD: 6.2132 cents
 20:27:30:40    SD: 6.0849 cents
 23:31:34:46    SD: 3.8766 cents
 29:39:43:58    SD: 3.7514 cents
 31:42:46:62    SD: 2.6659 cents
 37:50:55:74    SD: 2.2246 cents
 68:92:101:137    SD: 2.1309 cents
 74:100:110:149    SD: 1.7553 cents
 88:119:131:177    SD: 1.6880 cents
 91:123:135:183    SD: 1.2249 cents
 97:131:144:195    SD: 0.9585 cents
 105:142:156:211    SD: 0.6751 cents
 111:150:165:223    SD: 0.5918 cents
 128:173:190:257    SD: 0.4067 cents
 134:181:199:269    SD: 0.3628 cents
 142:192:211:285    SD: 0.3516 cents
 239:323:355:480    SD: 0.2291 cents
 270:365:401:542    SD: 0.1676 cents
 276:373:410:554    SD: 0.1102 cents
 515:696:765:1034    SD: 0.0644 cents