Scala analysis: xen18-erlich-semaphore-03

  0:          1/1               0.000000 unison, perfect prime
  1:        252.480 cents     252.480000
  2:        951.190 cents     951.190000
  3:       1203.670 cents    1203.670000

  0:        252.4800 cents    252.4800
  1:        252.4800 cents    252.4800
  2:        698.7100 cents    698.7100
  3:        252.4800 cents    252.4800

Interval class, Number of incidences, Size:
  1:   2 252.48000 cents
  1:   1 698.71000 cents
  2:   1 504.96000 cents
  2:   2 951.19000 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   : 252.5 951.2 1203.7
 252.5 : 698.7 951.2 1203.7
 951.2 : 252.5 505.0 1203.7
 1203.7

Interval class, Interval span, Span size, Gap to prev. class:
  1:  252.4800  .. 698.7100 cents      446.23000 cents                    252.48000 cents
  2:  504.9600  .. 951.1900 cents      446.23000 cents                   -193.75000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 252.48000 cents, class 1
Average step (divided formal octave): 401.2233 cents
Largest one step interval           : 698.71000 cents
Average / Smallest step             : 1.589129
Largest / Average step              : 1.741449
Largest / Smallest step             : 2.767388
Median interval of one step         : 252.48000 cents, amount: 2
Most common interval of one step    : 252.48000 cents, amount: 2
Least squares average step          : 411.84786 cents, oct.:  1235.54357 cents
Scale is not proper
Scale has Myhill's property
  chromas: 446.23000 cents and 193.75000 cents, ratio: 2.303123
  generators: 1 of 252.48000 cents and 2 of 951.19000 cents
ET pair of linear temperament       : 19&62
Scale is distributional even
Scale is a mode of a 205-tone equal temperament with octave  1203.670 cents
  degrees: 43 162 205
  generators: 43 and 162
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 193.75000 cents
Scale diversity                     : 1.450539
Lumma stability                     : 0.419517
Lumma impropriety factor            : 0.160966
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        : 193.75000 cents
Most common intervals               : 252.48000 cents & inv., amount: 2
Number of recognisable fifths       : 1, average 698.7100 cents
Number of recognisable fourths      : 1, average 504.9600 cents
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 2 1   N G T3   SD: 169.1850 c. M: 252.4800 c. 
  4:  1 2 1   P M ME I SD: 39.5491 c. M:-48.4375 c. 
  5:  1 3 1   N M DE I SD: 9.5906 c. M:-11.7460 c. 
 14:  3 8 3   N M DE I SD: 4.4493 c. M:-5.4493 c. 
 19:  4 11 4   N M DE I SD: 0.7546 c. M:-0.9242 c. 
 43:  9 25 9   N M DE I SD: 0.4483 c. M:-0.5491 c. 
 62:  13 36 13   N M DE I SD: 0.0797 c. M:-0.0976 c. 
 143: 30 83 30   N M DE I SD: 0.0312 c. M:-0.0382 c. 
 205: 43 119 43   N M DE I SD: 0.0023 c. M:-0.0029 c. 
 1168: 245 678 245   N M DE I SD: 0.0018 c. M:-0.0021 c. 
 1373: 288 797 288   N M DE I SD: 0.0011 c. M:-0.0014 c. 
 1578: 331 916 331   N M DE I SD: 0.0007 c. M:-0.0008 c. 
 1783: 374 1035 374   N M DE I SD: 0.0003 c. M:-0.0004 c. 
 1988: 417 1154 417   N M DE I SD: 0.0001 c. M:-0.0001 c. 

 1 x x 2  S SD: 3.6700 cents
 2 x x 4  S SD: 3.6700 cents
 19:22:33:38    SD: 2.0030 cents
 45:52:78:90    SD: 1.4662 cents
 64:74:111:128    SD: 1.4609 cents
 82:95:142:164    SD: 1.4528 cents
 89:103:154:178    SD: 1.3894 cents
 108:125:187:216    SD: 1.2665 cents
 127:147:220:255    SD: 1.0703 cents
 134:155:232:269    SD: 0.9862 cents
 146:169:253:293    SD: 0.8199 cents
 153:177:265:307    SD: 0.6682 cents
 172:199:298:345    SD: 0.4626 cents
 191:221:331:383    SD: 0.3741 cents
 198:229:343:397    SD: 0.3212 cents
 217:251:376:435    SD: 0.2462 cents
 261:302:452:523    SD: 0.1986 cents
 426:493:738:854    SD: 0.1913 cents
 433:501:750:868    SD: 0.1218 cents
 452:523:783:906    SD: 0.0640 cents
 478:553:828:958    SD: 0.0573 cents