Scala analysis: xen18-erlich-negripent-03

  0:          1/1               0.000000 unison, perfect prime
  1:        126.140 cents     126.140000
  2:       1075.680 cents    1075.680000
  3:       1201.820 cents    1201.820000

  0:        126.1400 cents    126.1400
  1:        126.1400 cents    126.1400
  2:        949.5400 cents    949.5400
  3:        126.1400 cents    126.1400

Interval class, Number of incidences, Size:
  1:   2 126.14000 cents
  1:   1 949.54000 cents
  2:   1 252.28000 cents
  2:   2 1075.68000 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   : 126.1 1075.7 1201.8
 126.1 : 949.5 1075.7 1201.8
 1075.7: 126.1 252.3  1201.8
 1201.8

Interval class, Interval span, Span size, Gap to prev. class:
  1:  126.1400  .. 949.5400 cents      823.40000 cents                    126.14000 cents
  2:  252.2800  .. 1075.6800 cents     823.40000 cents                   -697.26000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 126.14000 cents, class 1
Average step (divided formal octave): 400.6067 cents
Largest one step interval           : 949.54000 cents
Average / Smallest step             : 3.175889
Largest / Average step              : 2.370255
Largest / Smallest step             : 7.527668
Median interval of one step         : 126.14000 cents, amount: 2
Most common interval of one step    : 126.14000 cents, amount: 2
Least squares average step          : 420.21143 cents, oct.:  1260.63429 cents
Scale is not proper
Scale has Myhill's property
  chromas: 823.40000 cents and 697.26000 cents, ratio: 1.180908
  generators: 1 of 126.14000 cents and 2 of 1075.68000 cents
ET pair of linear temperament       : 10&19
Scale is distributional even
Scale is a mode of a 343-tone equal temperament with octave  1201.820 cents
  degrees: 36 307 343
  generators: 36 and 307
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 126.14000 cents
Scale diversity                     : 0.878383
Lumma stability                     : 0.209915
Lumma impropriety factor            : 0.580170
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        : 126.14000 cents
Most common intervals               : 126.14000 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: 102.9929 c. M:-126.1400 c. 
  5:  0 4 1   N G T3   SD: 98.2487 c. M: 126.1400 c. 
  6:  0 5 1   N G T3   SD: 84.4818 c. M: 126.1400 c. 
  7:  1 5 1   N M DE I SD: 37.1903 c. M:-45.5486 c. 
  8:  1 6 1   N M DE I SD: 19.6674 c. M:-24.0875 c. 
  9:  1 7 1   N M DE I SD: 6.0384 c. M:-7.3956 c. 
 10:  1 8 1   N M DE I SD: 4.8647 c. M:-5.9580 c. 
 19:  2 15 2   N M DE I SD: 0.3000 c. M:-0.3674 c. 
 105: 11 83 11   N M DE I SD: 0.1919 c. M:-0.2350 c. 
 124: 13 98 13   N M DE I SD: 0.1165 c. M:-0.1427 c. 
 143: 15 113 15   N M DE I SD: 0.0612 c. M:-0.0750 c. 
 162: 17 128 17   N M DE I SD: 0.0188 c. M:-0.0231 c. 
 181: 19 143 19   N M DE I SD: 0.0146 c. M:-0.0179 c. 
 343: 36 271 36   N M DE I SD: 0.0012 c. M:-0.0015 c. 
 1210: 127 956 127   N M DE I SD: 0.0012 c. M:-0.0014 c. 
 1553: 163 1227 163   N M DE I SD: 0.0007 c. M:-0.0008 c. 
 1896: 199 1498 199   N M DE I SD: 0.0003 c. M:-0.0004 c. 
 2239: 235 1769 235   N M DE I SD: 0.0001 c. M:-0.0001 c. 

 1 x x 2  S SD: 1.8200 cents
 2 x x 4  S SD: 1.8200 cents
 3:4 x 6  S SD: 185.9547 cents
 4:5:7:8    SD: 93.7559 cents
 5:6:9:10  S SD: 66.0705 cents
 6:7:11:12    SD: 47.7273 cents
 7:8:13:14    SD: 35.0417 cents
 8:9:15:16    SD: 26.2678 cents
 9:10:17:18    SD: 20.5813 cents
 10:11:19:20    SD: 17.5606 cents
 11:12:20:22    SD: 15.8417 cents
 12:13:22:24    SD: 9.7209 cents
 13:14:24:26    SD: 4.8432 cents
 14:15:26:28    SD: 2.6665 cents
 50:54:93:100    SD: 2.4815 cents
 51:55:95:102    SD: 1.6941 cents
 52:56:97:104    SD: 1.5481 cents
 65:70:121:130    SD: 0.9418 cents
 66:71:123:132    SD: 0.9222 cents
 79:85:147:158    SD: 0.6696 cents
 145:156:270:290    SD: 0.6571 cents
 159:171:296:318    SD: 0.6133 cents
 238:256:443:477    SD: 0.6054 cents
 252:271:469:505    SD: 0.5543 cents
 266:286:495:533    SD: 0.5454 cents
 289:311:538:579    SD: 0.4906 cents
 290:312:540:581    SD: 0.4624 cents
 303:326:564:607    SD: 0.3868 cents
 304:327:566:609    SD: 0.3687 cents
 317:341:590:635    SD: 0.3177 cents
 318:342:592:637    SD: 0.3132 cents
 331:356:616:663    SD: 0.2919 cents
 369:397:687:739    SD: 0.2641 cents
 382:411:711:765    SD: 0.2380 cents
 383:412:713:767    SD: 0.1753 cents
 397:427:739:795    SD: 0.1208 cents
 462:497:860:925    SD: 0.0977 cents
 476:512:886:953    SD: 0.0342 cents