Scala analysis: xen18-erlich-hedgehog-04

  0:          1/1               0.000000 unison, perfect prime
  1:        162.320 cents     162.320000
  2:        598.450 cents     598.450000
  3:        760.770 cents     760.770000
  4:       1196.900 cents    1196.900000

  0:        436.1300 cents    436.1300
  1:        162.3200 cents    162.3200
  2:        436.1300 cents    436.1300
  3:        162.3200 cents    162.3200
  4:        436.1300 cents    436.1300

Interval class, Number of incidences, Size:
  1:   2 162.32000 cents
  1:   2 436.13000 cents
  2:   4 598.45000 cents
  3:   2 760.77000 cents
  3:   2 1034.58000 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   : 162.3 598.4 760.8  1196.9
 162.3 : 436.1 598.4 1034.6 1196.9
 598.4 : 162.3 598.4 760.8  1196.9
 760.8 : 436.1 598.4 1034.6 1196.9
 1196.9

Interval class, Interval span, Span size, Gap to prev. class:
  1:  162.3200  .. 436.1300 cents      273.81000 cents                    162.32000 cents
  2:  598.4500  .. 598.4500 cents      1/1, 0.0000 cents                  162.32000 cents
  3:  760.7700  .. 1034.5800 cents     273.81000 cents                    162.32000 cents

Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 162.32000 cents, class 1
Average step (divided formal octave): 299.2250 cents
Largest one step interval           : 436.13000 cents
Average / Smallest step             : 1.843427
Largest / Average step              : 1.457532
Largest / Smallest step             : 2.686853
Median interval of one step         : 299.22500 cents, amount: 0
Least squares average step          : 280.97100 cents, oct.:  1123.88400 cents
Scale is strictly proper
Scale has 2 repeating blocks of 2 notes
Blocks have Myhill's property
  chromas: 273.81000 cents and 111.49000 cents, ratio: 2.455915
  generator: 1 of 162.32000 cents
ET pair of linear temperament       : 22&118
Scale is distributional even
Scale is a mode of a 612-tone equal temperament with octave  1196.900 cents
  degrees: 83 306 389 612
Least number of segments generator  : 307 of 600.406 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 389 of 760.775 cents and inv.
  generated superset size: 308 = 304 more = 7700.000%
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 162.32000 cents
Scale diversity                     : 1.246885
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.542468
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        : 162.32000 cents
Most common intervals               : 598.45000 cents & inv., amount: 4
Scale is a chain of 2 triads 0.0 162.320 598.450 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
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: 114.7776 c. M: 162.3200 c. 
  5:  1 1 1 2   P M ME   SD: 74.2988 c. M: 119.6900 c. 
  6:  1 2 1 2  SP B ME   SD: 26.2784 c. M:-37.1633 c.  Messiaen truncated mode 6
  8:  1 3 1 3  SP B DE   SD: 8.9856 c. M: 12.7075 c. 
 14:  2 5 2 5  SP B DE   SD: 6.1276 c. M:-8.6657 c. 
 22:  3 8 3 8  SP B DE   SD: 0.6319 c. M:-0.8936 c. 
 74:  10 27 10 27  SP B DE   SD: 0.4078 c. M: 0.5768 c. 
 96:  13 35 13 35  SP B DE   SD: 0.1696 c. M: 0.2398 c. 
 118: 16 43 16 43  SP B DE   SD: 0.0201 c. M: 0.0285 c. 
 376: 51 137 51 137  SP B DE   SD: 0.0180 c. M:-0.0255 c. 
 494: 67 180 67 180  SP B DE   SD: 0.0089 c. M:-0.0126 c. 
 612: 83 223 83 223  SP B DE   SD: 0.0033 c. M:-0.0047 c. 
 730: 99 266 99 266  SP B DE   SD: 0.0005 c. M: 0.0007 c. 

 1 x x x 2  S SD: 3.1000 cents
 2 x x 3:4  S SD: 29.4483 cents
 3 x 4:5:6  S SD: 53.0879 cents
 4 x x 6:8  S SD: 29.4483 cents
 7:8:10:11:14    SD: 18.6828 cents
 9:10:13:14:18    SD: 10.8597 cents
 12:13:17:19:24    SD: 10.6197 cents
 17:19:24:26:34    SD: 9.8772 cents
 18:20:25:28:36    SD: 9.0629 cents
 19:21:27:29:38    SD: 8.1069 cents
 20:22:28:31:40    SD: 4.1460 cents
 22:24:31:34:44    SD: 3.7028 cents
 29:32:41:45:58    SD: 2.1845 cents
 51:56:72:79:102    SD: 1.1662 cents
 80:88:113:124:160    SD: 1.1541 cents
 92:101:130:143:184    SD: 1.0612 cents
 121:133:171:188:242    SD: 1.0015 cents
 143:157:202:222:285    SD: 0.7839 cents
 172:189:243:267:343    SD: 0.5493 cents
 194:213:274:301:387    SD: 0.4177 cents
 203:223:287:315:405    SD: 0.4017 cents
 223:245:315:346:445    SD: 0.2802 cents
 254:279:359:394:507    SD: 0.2447 cents
 315:346:445:489:629    SD: 0.1970 cents
 346:380:489:537:691    SD: 0.1908 cents
 489:537:691:759:976    SD: 0.1570 cents
 509:559:719:790:1016    SD: 0.1537 cents
 518:569:732:804:1034    SD: 0.1313 cents
 540:593:763:838:1078    SD: 0.0646 cents
 569:625:804:883:1136    SD: 0.0532 cents