Scala analysis: xen18-erlich-injera-04

  0:          1/1               0.000000 unison, perfect prime
  1:         93.610 cents      93.610000
  2:        600.890 cents     600.890000
  3:        694.500 cents     694.500000
  4:       1201.780 cents    1201.780000

  0:        507.2800 cents    507.2800
  1:         93.6100 cents     93.6100
  2:        507.2800 cents    507.2800
  3:         93.6100 cents     93.6100
  4:        507.2800 cents    507.2800

Interval class, Number of incidences, Size:
  1:   2 93.61000 cents
  1:   2 507.28000 cents
  2:   4 600.89000 cents
  3:   2 694.50000 cents
  3:   2 1108.17000 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 1.66667 = 5/3

         1     2     3      4     
 0.0   : 93.6  600.9 694.5  1201.8
 93.6  : 507.3 600.9 1108.2 1201.8
 600.9 : 93.6  600.9 694.5  1201.8
 694.5 : 507.3 600.9 1108.2 1201.8
 1201.8

Interval class, Interval span, Span size, Gap to prev. class:
  1:  93.6100   .. 507.2800 cents      413.67000 cents                    93.61000 cents
  2:  600.8900  .. 600.8900 cents      1/1, 0.0000 cents                  93.61000 cents
  3:  694.5000  .. 1108.1700 cents     413.67000 cents                    93.61000 cents

Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 93.61000 cents, class 1
Average step (divided formal octave): 300.4450 cents
Largest one step interval           : 507.28000 cents
Average / Smallest step             : 3.209540
Largest / Average step              : 1.688429
Largest / Smallest step             : 5.419079
Median interval of one step         : 300.44500 cents, amount: 0
Least squares average step          : 272.86700 cents, oct.:  1091.46800 cents
Scale is strictly proper
Scale has 2 repeating blocks of 2 notes
Blocks have Myhill's property
  chromas: 413.67000 cents and 320.06000 cents, ratio: 1.292476
  generator: 1 of 93.61000 cents
ET pair of linear temperament       : 26&64
Scale is distributional even
Scale is a mode of a 398-tone equal temperament with octave  1201.780 cents
  degrees: 31 199 230 398
Least number of segments generator  : 201 of 606.929 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 367 of 1108.174 cents and inv.
  generated superset size: 201 = 197 more = 5025.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABAB
Step pattern size order : SLSL
Scale is a Constant Structure, by a margin of 93.61000 cents
Scale diversity                     : 0.967643
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.311571
Rothenberg efficiency (ambiguous key): 1.000000   redundancy: 0.000000
Efficiency x scale size             : 4.000000
Number of different interval sizes  : 5 = 1.66667 / class
Number of one step interval sizes   : 2
Highest interval variety            : 2
Mean interval variety               : 1.66667 = 5/3
Median interval variety             : 2
Lowest interval variety             : 1
Smallest interval difference        : 93.61000 cents
Most common intervals               : 600.89000 cents & inv., amount: 4
Scale is a chain of 2 triads 0.0 93.610 600.890 cents
Number of recognisable fifths       : 2, average 694.5000 cents
Number of recognisable fourths      : 2, average 507.2800 cents
Best minor thirds form a closed circle
Formal octave complements present   : 2 = 50.0000%
2/1 octave complements present      : 0 = 0.0000%
Limited transpositions              :
 2
Limited inverse transpositions      :
 1 3
Inversional symmetry on intervals   :
 0-1 1-2 2-3 3-4
-- Rational properties --

  4:  0 2 0 2   P B DE   SD: 66.1923 c. M: 93.6100 c. 
  7:  0 3 1 3   P   D3   SD: 63.6238 c. M: 93.6100 c. 
  8:  1 3 1 3  SP B DE   SD: 40.0311 c. M:-56.6125 c. 
 10:  1 4 1 4  SP B DE   SD: 18.7864 c. M:-26.5680 c. 
 12:  1 5 1 5  SP B DE   SD: 4.6233 c. M:-6.5383 c.  Messiaen truncated mode 5
 26:  2 11 2 11  SP B DE   SD: 0.8241 c. M: 1.1654 c. 
 64:  5 27 5 27  SP B DE   SD: 0.1973 c. M:-0.2791 c. 
 90:  7 38 7 38  SP B DE   SD: 0.0977 c. M: 0.1382 c. 
 154: 12 65 12 65  SP B DE   SD: 0.0249 c. M:-0.0352 c. 
 244: 19 103 19 103  SP B DE   SD: 0.0203 c. M: 0.0288 c. 
 398: 31 168 31 168  SP B DE   SD: 0.0028 c. M: 0.0040 c. 
 950: 74 401 74 401  SP B DE   SD: 0.0017 c. M:-0.0023 c. 
 1348: 105 569 105 569  SP B DE   SD: 0.0003 c. M:-0.0005 c. 

 1 x x x 2  S SD: 1.7800 cents
 2 x x 3:4  S SD: 3.8323 cents
 3 x 4:5:6  S SD: 71.9773 cents
 4 x x 6:8  S SD: 3.8323 cents
 5:6:7 x 10    SD: 74.2659 cents
 6:7 x 9:12    SD: 57.8101 cents
 7:8:10 x 14    SD: 46.1911 cents
 8:9:11:12:16    SD: 30.2926 cents
 9:10:13 x 18    SD: 31.9095 cents
 10:11:14:15:20    SD: 18.5297 cents
 11:12 x 16:22    SD: 24.3916 cents
 12:13:17:18:24    SD: 11.4150 cents
 14:15:20:21:28  S SD: 7.9119 cents
 16:17:23:24:32    SD: 7.6541 cents
 17:18:24:25:34    SD: 6.9219 cents
 19:20:27:28:38    SD: 6.2230 cents
 20:21:28:30:40  S SD: 5.4777 cents
 22:23:31:33:44    SD: 4.9214 cents
 31:33:44:46:62    SD: 4.8284 cents
 32:34:45:48:64    SD: 4.3390 cents
 34:36:48:51:68  S SD: 2.5304 cents
 36:38:51:54:72    SD: 1.9874 cents
 51:54:72:76:102    SD: 1.9694 cents
 53:56:75:79:106    SD: 1.0653 cents
 87:92:123:130:174    SD: 0.9876 cents
 89:94:126:133:178    SD: 0.6151 cents
 142:150:201:212:284    SD: 0.5985 cents
 164:173:232:245:328    SD: 0.5433 cents
 217:229:307:324:434    SD: 0.4809 cents
 253:267:358:378:507    SD: 0.4462 cents
 304:321:430:454:609    SD: 0.3387 cents
 306:323:433:457:613    SD: 0.2644 cents
 359:379:508:536:719    SD: 0.2283 cents
 393:415:556:587:787    SD: 0.2108 cents
 395:417:559:590:791    SD: 0.1434 cents
 468:494:662:699:937    SD: 0.1273 cents
 470:496:665:702:941    SD: 0.1025 cents
 523:552:740:781:1047    SD: 0.0907 cents