Scala analysis: xen18-erlich-ripple-03

  0:          1/1               0.000000 unison, perfect prime
  1:        101.990 cents     101.990000
  2:       1101.330 cents    1101.330000
  3:       1203.320 cents    1203.320000

  0:        101.9900 cents    101.9900
  1:        101.9900 cents    101.9900
  2:        999.3400 cents    999.3400
  3:        101.9900 cents    101.9900

Interval class, Number of incidences, Size:
  1:   2 101.99000 cents
  1:   1 999.34000 cents
  2:   1 203.98000 cents
  2:   2 1101.33000 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   : 102.0 1101.3 1203.3
 102.0 : 999.3 1101.3 1203.3
 1101.3: 102.0 204.0  1203.3
 1203.3

Interval class, Interval span, Span size, Gap to prev. class:
  1:  101.9900  .. 999.3400 cents      897.35000 cents                    101.99000 cents
  2:  203.9800  .. 1101.3300 cents     897.35000 cents                   -795.36000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 101.99000 cents, class 1
Average step (divided formal octave): 401.1067 cents
Largest one step interval           : 999.34000 cents
Average / Smallest step             : 3.932804
Largest / Average step              : 2.491457
Largest / Smallest step             : 9.798412
Median interval of one step         : 101.99000 cents, amount: 2
Most common interval of one step    : 101.99000 cents, amount: 2
Least squares average step          : 422.47214 cents, oct.:  1267.41643 cents
Scale is not proper
Scale has Myhill's property
  chromas: 897.35000 cents and 795.36000 cents, ratio: 1.128231
  generators: 1 of 101.99000 cents and 2 of 1101.33000 cents
ET pair of linear temperament       : 11&12
Scale is distributional even
Scale is a mode of a 1050-tone equal temperament with octave  1203.320 cents
  degrees: 89 961 1050
  generators: 89 and 961
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 101.99000 cents
Scale diversity                     : 0.694846
Lumma stability                     : 0.169514
Lumma impropriety factor            : 0.660971
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        : 101.99000 cents
Most common intervals               : 101.99000 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
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:  0 3 0   N M DE I SD: 83.2745 c. M:-101.9900 c. 
  5:  0 4 1   N G T3   SD: 99.3855 c. M: 138.6740 c. 
  6:  0 5 1   N G T3   SD: 81.8875 c. M: 101.9900 c. 
  7:  0 6 1   N G T3   SD: 71.3904 c. M: 101.9900 c. 
  8:  1 6 1   N M DE I SD: 39.5388 c. M:-48.4250 c. 
  9:  1 7 1   N M DE I SD: 25.8929 c. M:-31.7122 c. 
 10:  1 8 1   N M DE I SD: 14.9762 c. M:-18.3420 c. 
 11:  1 9 1   N M DE I SD: 6.0443 c. M:-7.4027 c. 
 12:  1 10 1   N M DE I SD: 1.3989 c. M:-1.7133 c. 
 35:  3 29 3   N M DE I SD: 0.9404 c. M:-1.1517 c. 
 47:  4 39 4   N M DE I SD: 0.3431 c. M:-0.4202 c. 
 59:  5 49 5   N M DE I SD: 0.0112 c. M:-0.0137 c. 
 755: 64 627 64   N M DE I SD: 0.0108 c. M:-0.0133 c. 
 814: 69 676 69   N M DE I SD: 0.0092 c. M:-0.0113 c. 
 873: 74 725 74   N M DE I SD: 0.0079 c. M:-0.0096 c. 
 932: 79 774 79   N M DE I SD: 0.0067 c. M:-0.0082 c. 
 991: 84 823 84   N M DE I SD: 0.0056 c. M:-0.0069 c. 
 1050: 89 872 89   N M DE I SD: 0.0047 c. M:-0.0057 c. 
 1109: 94 921 94   N M DE I SD: 0.0038 c. M:-0.0047 c. 
 1168: 99 970 99   N M DE I SD: 0.0030 c. M:-0.0037 c. 
 1227: 104 1019 104   N M DE I SD: 0.0024 c. M:-0.0029 c. 
 1286: 109 1068 109   N M DE I SD: 0.0017 c. M:-0.0021 c. 
 1345: 114 1117 114   N M DE I SD: 0.0012 c. M:-0.0014 c. 
 1404: 119 1166 119   N M DE I SD: 0.0007 c. M:-0.0008 c. 
 1463: 124 1215 124   N M DE I SD: 0.0002 c. M:-0.0002 c. 

 1 x x 2  S SD: 3.3200 cents
 2 x x 4  S SD: 3.3200 cents
 3:4 x 6  S SD: 198.0345 cents
 4:5 x 8    SD: 142.1715 cents
 5:6:9:10  S SD: 76.4993 cents
 6:7:11:12    SD: 57.6361 cents
 7:8:13:14    SD: 44.1932 cents
 8:9:15:16    SD: 34.2690 cents
 9:10:17:18    SD: 26.8276 cents
 10:11:19:20    SD: 21.2896 cents
 11:12:21:22    SD: 17.3409 cents
 12:13:23:24    SD: 14.8091 cents
 13:14:25:26    SD: 13.5398 cents
 14:15:26:28    SD: 11.5155 cents
 15:16:28:30    SD: 7.7275 cents
 16:17:30:32    SD: 4.5997 cents
 17:18:32:34    SD: 2.5764 cents
 35:37:66:70    SD: 2.4656 cents
 47:50:89:94    SD: 2.4426 cents
 52:55:98:104    SD: 2.4172 cents
 63:67:119:126    SD: 1.8883 cents
 64:68:121:128    SD: 1.5464 cents
 65:69:123:130    SD: 1.5303 cents
 81:86:153:162    SD: 1.2481 cents
 82:87:155:164    SD: 1.1628 cents
 99:105:187:198    SD: 1.1115 cents
 146:155:276:293    SD: 1.0775 cents
 162:172:306:325    SD: 0.8856 cents
 163:173:308:327    SD: 0.7626 cents
 164:174:310:329    SD: 0.7415 cents
 179:190:338:359    SD: 0.7140 cents
 180:191:340:361    SD: 0.5547 cents
 181:192:342:363    SD: 0.4966 cents
 197:209:372:395    SD: 0.4628 cents
 198:210:374:397    SD: 0.3638 cents
 245:260:463:491    SD: 0.3539 cents
 261:277:493:523    SD: 0.3509 cents
 262:278:495:525    SD: 0.2135 cents
 263:279:497:527    SD: 0.1840 cents
 279:296:527:559    SD: 0.1815 cents
 280:297:529:561    SD: 0.0834 cents