Scala analysis: xen18-erlich-magic-03

  0:          1/1               0.000000 unison, perfect prime
  1:        380.800 cents     380.800000
  2:        820.480 cents     820.480000
  3:       1201.280 cents    1201.280000

  0:        380.8000 cents    380.8000
  1:        380.8000 cents    380.8000
  2:        439.6800 cents    439.6800
  3:        380.8000 cents    380.8000

Interval class, Number of incidences, Size:
  1:   2 380.80000 cents
  1:   1 439.68000 cents
  2:   1 761.60000 cents
  2:   2 820.48000 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   : 380.8 820.5 1201.3
 380.8 : 439.7 820.5 1201.3
 820.5 : 380.8 761.6 1201.3
 1201.3

Interval class, Interval span, Span size, Gap to prev. class:
  1:  380.8000  .. 439.6800 cents      58.88000 cents                     380.80000 cents
  2:  761.6000  .. 820.4800 cents      58.88000 cents                     321.92000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 380.80000 cents, class 1
Average step (divided formal octave): 400.4267 cents
Largest one step interval           : 439.68000 cents
Average / Smallest step             : 1.051541
Largest / Average step              : 1.098029
Largest / Smallest step             : 1.154622
Median interval of one step         : 380.80000 cents, amount: 2
Most common interval of one step    : 380.80000 cents, amount: 2
Least squares average step          : 401.82857 cents, oct.:  1205.48571 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 58.88000 cents and 321.92000 cents, ratio: 5.467391
  generators: 1 of 380.80000 cents and 2 of 820.48000 cents
ET pair of linear temperament       : 19&41
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 306-tone equal temperament with octave  1201.280 cents
  degrees: 97 209 306
  generators: 97 and 209
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 321.92000 cents
Scale diversity                     : 1.164352
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.901971
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        : 58.88000 cents
Most common intervals               : 380.80000 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 58.8800 cents:
 1 2
Limited inverse transpositions with margin 58.8800 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: 16.0251 c. M: 19.6267 c. 
 13:  4 5 4  SP M ME I SD: 9.1247 c. M: 11.1754 c. 
 16:  5 6 5  SP M ME I SD: 4.4091 c. M: 5.4000 c. 
 19:  6 7 6  SP M ME I SD: 1.1826 c. M: 1.4484 c. 
 22:  7 8 7  SP M ME I SD: 1.1639 c. M: 1.4255 c. 
 41:  13 15 13  SP M DE I SD: 0.0765 c. M: 0.0937 c. 
 183: 58 67 58  SP M DE I SD: 0.0543 c. M: 0.0664 c. 
 224: 71 82 71  SP M DE I SD: 0.0303 c. M: 0.0371 c. 
 265: 84 97 84  SP M DE I SD: 0.0138 c. M: 0.0169 c. 
 306: 97 112 97  SP M DE I SD: 0.0017 c. M: 0.0021 c. 
 959: 304 351 304  SP M DE I SD: 0.0016 c. M: 0.0020 c. 
 1265: 401 463 401  SP M DE I SD: 0.0008 c. M: 0.0010 c. 
 1571: 498 575 498  SP M DE I SD: 0.0003 c. M: 0.0004 c. 
 1877: 595 687 595  SP M DE I SD: 0.0000 c. M: 0.0000 c. 

 1 x x 2  S SD: 1.2800 cents
 2 x 3:4  S SD: 59.2660 cents
 3:4:5:6  H SD: 44.5078 cents
 4:5:6:8  S SD: 39.5534 cents
 5:6:8:10  S SD: 21.8415 cents
 8:10:13:16    SD: 6.9438 cents
 20:25:32:40    SD: 2.9476 cents
 28:35:45:56    SD: 1.9114 cents
 33:41:53:66    SD: 1.7258 cents
 41:51:66:82    SD: 1.6421 cents
 53:66:85:106    SD: 1.0581 cents
 61:76:98:122    SD: 0.4410 cents
 325:405:522:650    SD: 0.4336 cents
 358:446:575:717    SD: 0.3951 cents
 366:456:588:733    SD: 0.3780 cents
 378:471:607:757    SD: 0.3764 cents
 386:481:620:773    SD: 0.3241 cents
 414:516:665:829    SD: 0.3152 cents
 419:522:673:839    SD: 0.2795 cents
 427:532:686:855    SD: 0.2725 cents
 439:547:705:879    SD: 0.2656 cents
 447:557:718:895    SD: 0.2204 cents
 480:598:771:961    SD: 0.1961 cents
 500:623:803:1001    SD: 0.1833 cents
 508:633:816:1017    SD: 0.1422 cents
 541:674:869:1083    SD: 0.1364 cents
 561:699:901:1123    SD: 0.1216 cents
 569:709:914:1139    SD: 0.0818 cents