Scala analysis: xen18-erlich-tetracot-05

  0:          1/1               0.000000 unison, perfect prime
  1:        176.110 cents     176.110000
  2:        352.220 cents     352.220000
  3:        846.810 cents     846.810000
  4:       1022.920 cents    1022.920000
  5:       1199.030 cents    1199.030000

  0:        176.1100 cents    176.1100
  1:        176.1100 cents    176.1100
  2:        176.1100 cents    176.1100
  3:        494.5900 cents    494.5900
  4:        176.1100 cents    176.1100
  5:        176.1100 cents    176.1100

Interval class, Number of incidences, Size:
  1:   4 176.11000 cents
  1:   1 494.59000 cents
  2:   3 352.22000 cents
  2:   2 670.70000 cents
  3:   2 528.33000 cents
  3:   3 846.81000 cents
  4:   1 704.44000 cents
  4:   4 1022.92000 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     4      5     
 0.0   : 176.1 352.2 846.8 1022.9 1199.0
 176.1 : 176.1 670.7 846.8 1022.9 1199.0
 352.2 : 494.6 670.7 846.8 1022.9 1199.0
 846.8 : 176.1 352.2 528.3 704.4  1199.0
 1022.9: 176.1 352.2 528.3 1022.9 1199.0
 1199.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  176.1100  .. 494.5900 cents      318.48000 cents                    176.11000 cents
  2:  352.2200  .. 670.7000 cents      318.48000 cents                   -142.37000 cents
  3:  528.3300  .. 846.8100 cents      318.48000 cents                   -142.37000 cents
  4:  704.4400  .. 1022.9200 cents     318.48000 cents                   -142.37000 cents

Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 176.11000 cents, class 1
Average step (divided formal octave): 239.8060 cents
Largest one step interval           : 494.59000 cents
Average / Smallest step             : 1.361683
Largest / Average step              : 2.062459
Largest / Smallest step             : 2.808415
Median interval of one step         : 176.11000 cents, amount: 4
Most common interval of one step    : 176.11000 cents, amount: 4
Least squares average step          : 245.59655 cents, oct.:  1227.98273 cents
Scale is not proper
Scale has Myhill's property
  chromas: 318.48000 cents and 142.37000 cents, ratio: 2.236988
  generators: 1 of 176.11000 cents and 4 of 1022.92000 cents
ET pair of linear temperament       : 34&143
Scale is distributional even
Scale is a mode of a 320-tone equal temperament with octave  1199.030 cents
  degrees: 47 94 226 273 320
  generators: 47 and 273
Number of contiguous 1-step segments: 0
Step pattern alph. order: AABAA
Step pattern size order : SSLSS
Scale is a Constant Structure, by a margin of 33.74000 cents
Scale diversity                     : 1.267975
Lumma stability                     : 0.293754
Lumma impropriety factor            : 0.356213
Rothenberg efficiency               : 0.800000   redundancy: 0.200000
Efficiency x scale size             : 4.000000
Number of different interval sizes  : 8 = 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        : 33.74000 cents
Most common intervals               : 176.11000 cents & inv., amount: 4
Scale is a chain of 2 triads 0.0 352.220 1022.920 cents
Number of recognisable fifths       : 1, average 704.4400 cents
Number of recognisable fourths      : 1, average 494.5900 cents
Formal octave complements present   : 5 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 2-3
-- Rational properties --

  5:  0 1 2 1 1   N   T3   SD: 113.0819 c. M: 176.1100 c. 
  6:  1 1 2 1 1   P M ME I SD: 33.5569 c. M:-47.4567 c. 
  7:  1 1 3 1 1   N M DE I SD: 6.8165 c. M: 9.6400 c. 
 20:  3 3 8 3 3   N M DE I SD: 5.2955 c. M: 7.4890 c. 
 27:  4 4 11 4 4   N M DE I SD: 2.1554 c. M:-3.0481 c. 
 34:  5 5 14 5 5   N M DE I SD: 0.3082 c. M:-0.4359 c. 
 109: 16 16 45 16 16   N M DE I SD: 0.1493 c. M: 0.2112 c. 
 143: 21 21 59 21 21   N M DE I SD: 0.0405 c. M:-0.0573 c. 
 177: 26 26 73 26 26   N M DE I SD: 0.0264 c. M:-0.0374 c. 
 320: 47 47 132 47 47   N M DE I SD: 0.0035 c. M: 0.0049 c. 
 817: 120 120 337 120 120   N M DE I SD: 0.0030 c. M:-0.0042 c. 
 1137: 167 167 469 167 167   N M DE I SD: 0.0012 c. M:-0.0017 c. 
 1457: 214 214 601 214 214   N M DE I SD: 0.0001 c. M:-0.0002 c. 

 1 x x x x 2  S SD: 0.9700 cents
 2 x x 3 x 4  S SD: 72.4291 cents
 3 x 4:5 x 6  S SD: 50.1949 cents
 4 x 5 x 7:8    SD: 21.3164 cents
 5 x 6:8:9:10  S SD: 12.4108 cents
 6 x 7:10:11:12    SD: 24.2314 cents
 8:9:10:13:14:16    SD: 14.0026 cents
 9:10:11:15:16:18    SD: 9.3669 cents
 16:18:20:26:29:32    SD: 8.9888 cents
 17:19:21:28:31:34    SD: 6.4563 cents
 19:21:23:31:34:38    SD: 5.3275 cents
 26:29:32:42:47:52    SD: 4.4692 cents
 27:30:33:44:49:54    SD: 2.4014 cents
 36:40:44:59:65:72    SD: 2.3250 cents
 48:53:59:78:87:96    SD: 2.2847 cents
 56:62:69:91:101:112    SD: 2.2657 cents
 57:63:70:93:103:114    SD: 0.9682 cents
 84:93:103:137:152:168    SD: 0.8031 cents
 93:103:114:152:168:186    SD: 0.8009 cents
 103:114:126:168:186:206    SD: 0.6936 cents
 133:147:163:217:240:266    SD: 0.6485 cents
 159:176:195:259:287:318    SD: 0.5254 cents
 160:177:196:261:289:320    SD: 0.3996 cents
 195:216:239:318:352:390    SD: 0.2857 cents
 252:279:309:411:455:504    SD: 0.2524 cents
 355:393:435:579:641:710    SD: 0.2104 cents
 514:569:630:838:928:1027    SD: 0.1887 cents
 523:579:641:853:944:1045    SD: 0.1763 cents
 550:609:674:897:993:1099    SD: 0.1445 cents