Scala analysis: xen18-erlich-mavila-05

  0:          1/1               0.000000 unison, perfect prime
  1:        163.510 cents     163.510000
  2:        521.520 cents     521.520000
  3:        685.030 cents     685.030000
  4:       1043.040 cents    1043.040000
  5:       1206.550 cents    1206.550000

  0:        163.5100 cents    163.5100
  1:        163.5100 cents    163.5100
  2:        358.0100 cents    358.0100
  3:        163.5100 cents    163.5100
  4:        358.0100 cents    358.0100
  5:        163.5100 cents    163.5100

Interval class, Number of incidences, Size:
  1:   3 163.51000 cents
  1:   2 358.01000 cents
  2:   1 327.02000 cents
  2:   4 521.52000 cents
  3:   4 685.03000 cents
  3:   1 879.53000 cents
  4:   2 848.54000 cents
  4:   3 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     4      5     
 0.0   : 163.5 521.5 685.0 1043.0 1206.5
 163.5 : 358.0 521.5 879.5 1043.0 1206.5
 521.5 : 163.5 521.5 685.0 848.5  1206.5
 685.0 : 358.0 521.5 685.0 1043.0 1206.5
 1043.0: 163.5 327.0 685.0 848.5  1206.5
 1206.5

Interval class, Interval span, Span size, Gap to prev. class:
  1:  163.5100  .. 358.0100 cents      194.50000 cents                    163.51000 cents
  2:  327.0200  .. 521.5200 cents      194.50000 cents                   -30.99000 cents
  3:  685.0300  .. 879.5300 cents      194.50000 cents                    163.51000 cents
  4:  848.5400  .. 1043.0400 cents     194.50000 cents                   -30.99000 cents

Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 163.51000 cents, class 1
Average step (divided formal octave): 241.3100 cents
Largest one step interval           : 358.01000 cents
Average / Smallest step             : 1.475812
Largest / Average step              : 1.483610
Largest / Smallest step             : 2.189530
Median interval of one step         : 163.51000 cents, amount: 3
Most common interval of one step    : 163.51000 cents, amount: 3
Least squares average step          : 244.84636 cents, oct.:  1224.23182 cents
Scale is not proper
Scale has Myhill's property
  chromas: 194.50000 cents and 30.99000 cents, ratio: 6.276218
  generators: 2 of 521.52000 cents and 3 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: 58 185 243 370 428
  generators: 185 and 243
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABABA
Step pattern size order : SLSLS
Scale is a Constant Structure, by a margin of 30.99000 cents
Scale diversity                     : 1.261073
Lumma stability                     : 0.406556
Lumma impropriety factor            : 0.051370
Rothenberg efficiency               : 0.800000   redundancy: 0.200000
Efficiency x scale size             : 4.000000
Number of different interval sizes  : 8 = 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        : 30.99000 cents
Most common intervals               : 521.52000 cents & inv., amount: 4
Scale is a chain of 2 triads 0.0 521.520 1043.040 cents
Most common triad is 0.0 521.520 685.030 cents, amount: 3
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
Formal octave complements present   : 5 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 2-3
-- Rational properties --

  5:  1 1 1 1 1  SP B ME I SD: 55.0129 c. M: 77.8000 c. 
  7:  1 2 1 2 1   P M ME I SD: 6.2609 c. M:-8.8543 c.  Thai mode 2
 23:  3 7 3 7 3   N M DE I SD: 4.3373 c. M: 6.1339 c. 
 30:  4 9 4 9 4   N M DE I SD: 1.8644 c. M: 2.6367 c. 
 37:  5 11 5 11 5   N M DE I SD: 0.3272 c. M: 0.4627 c. 
 81:  11 24 11 24 11   N M DE I SD: 0.2422 c. M: 0.3425 c. 
 118: 16 35 16 35 16   N M DE I SD: 0.0636 c. M: 0.0900 c. 
 155: 21 46 21 46 21   N M DE I SD: 0.0297 c. M: 0.0419 c. 
 273: 37 81 37 81 37   N M DE I SD: 0.0107 c. M:-0.0151 c. 
 428: 58 127 58 127 58   N M DE I SD: 0.0039 c. M: 0.0056 c. 
 701: 95 208 95 208 95   N M DE I SD: 0.0018 c. M: 0.0025 c. 
 1129: 153 335 153 335 153   N M DE I SD: 0.0004 c. M: 0.0006 c. 

 1 x x x x 2  S SD: 6.5500 cents
 2 x x 3 x 4  S SD: 9.0741 cents
 3 x 4 x x 6  S SD: 12.1858 cents
 4 x 5:6:7:8  S SD: 38.8248 cents
 5:6:7 x 9:10    SD: 41.4987 cents
 6:7:8:9:11:12    SD: 21.5443 cents
 8:9:11:12:15:16    SD: 13.9930 cents
 10:11:14:15:18:20    SD: 13.7099 cents
 11:12:15:16:20:22  S SD: 8.5618 cents
 12:13:16:18:22:24    SD: 7.8544 cents
 17:19:23:25:31:34    SD: 6.9281 cents
 19:21:26:28:35:38    SD: 6.3279 cents
 20:22:27:30:37:40    SD: 5.7238 cents
 22:24:30:33:40:44    SD: 5.6494 cents
 23:25:31:34:42:46    SD: 4.4834 cents
 29:32:39:43:53:58    SD: 2.6475 cents
 51:56:69:76:93:102    SD: 1.8814 cents
 68:75:92:101:124:137    SD: 1.8660 cents
 74:81:100:110:135:149    SD: 1.8119 cents
 80:88:108:119:146:161    SD: 1.1392 cents
 91:100:123:135:166:183    SD: 0.8733 cents
 111:122:150:165:203:223    SD: 0.5447 cents
 171:188:231:254:312:343    SD: 0.5367 cents
 173:190:234:257:316:347    SD: 0.4831 cents
 202:222:273:300:369:406    SD: 0.4051 cents
 231:254:312:343:422:464    SD: 0.3617 cents
 253:278:342:376:462:508    SD: 0.2350 cents
 282:310:381:419:515:566    SD: 0.2062 cents
 375:412:507:557:685:753    SD: 0.1852 cents
 404:444:546:600:738:811    SD: 0.0703 cents