Scala analysis: xen18-erlich-wurschmidt-03

  0:          1/1               0.000000 unison, perfect prime
  1:        387.640 cents     387.640000
  2:        812.050 cents     812.050000
  3:       1199.690 cents    1199.690000

  0:        387.6400 cents    387.6400
  1:        387.6400 cents    387.6400
  2:        424.4100 cents    424.4100
  3:        387.6400 cents    387.6400

Interval class, Number of incidences, Size:
  1:   2 387.64000 cents
  1:   1 424.41000 cents
  2:   1 775.28000 cents
  2:   2 812.05000 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   : 387.6 812.0 1199.7
 387.6 : 424.4 812.1 1199.7
 812.0 : 387.6 775.3 1199.7
 1199.7

Interval class, Interval span, Span size, Gap to prev. class:
  1:  387.6400  .. 424.4100 cents      36.77000 cents                     387.64000 cents
  2:  775.2800  .. 812.0500 cents      36.77000 cents                     350.87000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 387.64000 cents, class 1
Average step (divided formal octave): 399.8967 cents
Largest one step interval           : 424.41000 cents
Average / Smallest step             : 1.031619
Largest / Average step              : 1.061299
Largest / Smallest step             : 1.094856
Median interval of one step         : 387.64000 cents, amount: 2
Most common interval of one step    : 387.64000 cents, amount: 2
Least squares average step          : 400.77214 cents, oct.:  1202.31643 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 36.77000 cents and 350.87000 cents, ratio: 9.542290
  generators: 1 of 387.64000 cents and 2 of 812.05000 cents
ET pair of linear temperament       : 31&34
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 359-tone equal temperament with octave  1199.690 cents
  degrees: 116 243 359
  generators: 116 and 243
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 350.87000 cents
Scale diversity                     : 1.107943
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.938701
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        : 36.77000 cents
Most common intervals               : 387.64000 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%
Limited transpositions with margin 36.7700 cents:
 1 2
Limited inverse transpositions with margin 36.7700 cents:
 1 2
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 1-2
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 10.0075 c. M:-12.2567 c. 
 19:  6 7 6  SP M ME I SD: 7.1774 c. M:-8.7905 c. 
 22:  7 8 7  SP M ME I SD: 4.8340 c. M:-5.9205 c. 
 25:  8 9 8  SP M ME I SD: 3.0530 c. M:-3.7392 c. 
 28:  9 10 9  SP M ME I SD: 1.6537 c. M:-2.0254 c. 
 31:  10 11 10  SP M ME I SD: 0.5252 c. M:-0.6432 c. 
 34:  11 12 11  SP M ME I SD: 0.4042 c. M:-0.4950 c. 
 65:  21 23 21  SP M DE I SD: 0.0391 c. M:-0.0478 c. 
 229: 74 81 74  SP M DE I SD: 0.0267 c. M:-0.0328 c. 
 294: 95 104 95  SP M DE I SD: 0.0122 c. M:-0.0149 c. 
 359: 116 127 116  SP M DE I SD: 0.0029 c. M:-0.0036 c. 
 783: 253 277 253  SP M DE I SD: 0.0006 c. M:-0.0007 c. 
 1142: 369 404 369  SP M DE I SD: 0.0005 c. M:-0.0006 c. 
 1925: 622 681 622  SP M DE I SD: 0.0001 c. M:-0.0001 c. 

 1 x x 2  S SD: 0.3100 cents
 2 x 3:4  S SD: 55.0477 cents
 3:4:5:6  H SD: 43.9923 cents
 4:5:6:8  S SD: 36.7011 cents
 5:6:8:10  S SD: 24.0060 cents
 7:9:11:14    SD: 18.6330 cents
 8:10:13:16    SD: 9.5034 cents
 12:15:19:24    SD: 5.5160 cents
 20:25:32:40    SD: 0.7097 cents
 72:90:115:144    SD: 0.6444 cents
 92:115:147:184    SD: 0.5132 cents
 112:140:179:224    SD: 0.4647 cents
 132:165:211:264    SD: 0.4540 cents
 147:184:235:294    SD: 0.3619 cents
 167:209:267:334    SD: 0.2921 cents
 187:234:299:374    SD: 0.2582 cents
 199:249:318:398    SD: 0.2490 cents
 219:274:350:438    SD: 0.1754 cents
 239:299:382:478    SD: 0.1255 cents
 259:324:414:518    SD: 0.1041 cents