Scala analysis: xen18-erlich-wurschmidt-04

  0:          1/1               0.000000 unison, perfect prime
  1:        387.640 cents     387.640000
  2:        775.280 cents     775.280000
  3:        812.050 cents     812.050000
  4:       1199.690 cents    1199.690000

  0:        387.6400 cents    387.6400
  1:        387.6400 cents    387.6400
  2:        387.6400 cents    387.6400
  3:         36.7700 cents     36.7700
  4:        387.6400 cents    387.6400

Interval class, Number of incidences, Size:
  1:   1 36.77000 cents
  1:   3 387.64000 cents
  2:   2 424.41000 cents
  2:   2 775.28000 cents
  3:   3 812.05000 cents
  3:   1 1162.92000 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     
 0.0   : 387.6 775.3 812.0  1199.7
 387.6 : 387.6 424.4 812.1  1199.7
 775.3 : 36.8  424.4 812.1  1199.7
 812.0 : 387.6 775.3 1162.9 1199.7
 1199.7

Interval class, Interval span, Span size, Gap to prev. class:
  1:  36.7700   .. 387.6400 cents      350.87000 cents                    36.77000 cents
  2:  424.4100  .. 775.2800 cents      350.87000 cents                    36.77000 cents
  3:  812.0500  .. 1162.9200 cents     350.87000 cents                    36.77000 cents

Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 36.77000 cents, class 1
Average step (divided formal octave): 299.9225 cents
Largest one step interval           : 387.64000 cents
Average / Smallest step             : 8.156717
Largest / Average step              : 1.292467
Largest / Smallest step             : 10.542290
Median interval of one step         : 387.64000 cents, amount: 3
Most common interval of one step    : 387.64000 cents, amount: 3
Least squares average step          : 305.77033 cents, oct.:  1223.08133 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 350.87000 cents and 314.10000 cents, ratio: 1.117065
  generators: 1 of 387.64000 cents and 3 of 812.05000 cents
ET pair of linear temperament       : 31&34
Scale is distributional even
Scale is a mode of a 783-tone equal temperament with octave  1199.690 cents
  degrees: 253 506 530 783
  generators: 253 and 530
Number of contiguous 1-step segments: 0
Step pattern alph. order: AABA
Step pattern size order : LLSL
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 36.77000 cents
Scale diversity                     : 0.970729
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.122598
Rothenberg efficiency               : 0.833333   redundancy: 0.166667
Efficiency x scale size             : 3.333333
Number of different interval sizes  : 6 = 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        : 36.77000 cents
Most common intervals               : 387.64000 cents & inv., amount: 3
Scale is a chain of 2 triads 0.0 387.640 812.050 cents
Most common triad is 0.0 387.640 812.050 cents, amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Formal octave complements present   : 3 = 75.0000%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions      :
 1
Inversional symmetry on intervals   :
 0-1 2-3
-- Rational properties --

  4:  1 1 0 2   N   T3   SD: 144.4842 c. M: 212.2050 c. 
  5:  1 2 0 2   P   D3   SD: 91.3781 c. M: 147.7020 c. 
  6:  2 2 0 2   P M DE   SD: 15.0113 c. M:-24.5133 c. 
 19:  6 6 1 6  SP M DE   SD: 10.7662 c. M: 17.5811 c. 
 22:  7 7 1 7  SP M DE   SD: 7.2510 c. M: 11.8409 c. 
 25:  8 8 1 8  SP M DE   SD: 4.5796 c. M: 7.4784 c. 
 28:  9 9 1 9  SP M DE   SD: 2.4805 c. M: 4.0507 c. 
 31:  10 10 1 10  SP M DE   SD: 0.7878 c. M: 1.2865 c. 
 34:  11 11 1 11  SP M DE   SD: 0.6062 c. M:-0.9900 c. 
 65:  21 21 2 21  SP M DE   SD: 0.0586 c. M: 0.0957 c. 
 229: 74 74 7 74  SP M DE   SD: 0.0401 c. M:-0.0655 c. 
 294: 95 95 9 95  SP M DE   SD: 0.0183 c. M:-0.0299 c. 
 359: 116 116 11 116  SP M DE   SD: 0.0044 c. M:-0.0071 c. 
 783: 253 253 24 253  SP M DE   SD: 0.0009 c. M: 0.0014 c. 
 1142: 369 369 35 369  SP M DE   SD: 0.0008 c. M:-0.0013 c. 
 1925: 622 622 59 622  SP M DE   SD: 0.0001 c. M:-0.0002 c. 

 1 x x x 2  S SD: 0.3100 cents
 2 x 3 x 4  S SD: 36.6628 cents
 3:4 x 5:6  S SD: 43.9923 cents
 4:5:6 x 8  S SD: 24.4459 cents
 5:6 x 8:10  S SD: 24.0060 cents
 7:9:11 x 14    SD: 15.9967 cents
 8:10 x 13:16    SD: 9.5034 cents
 9:11:14 x 18    SD: 13.8489 cents
 10:13 x 16:20    SD: 22.1983 cents
 11:14:17:18:22    SD: 13.7028 cents
 12:15 x 19:24    SD: 5.5160 cents
 14:18:22 x 28    SD: 15.9967 cents
 15:19:23:24:30    SD: 10.3495 cents
 16:20:25:26:32    SD: 7.1583 cents
 17:21 x 27:34    SD: 8.1655 cents
 19:24:30 x 38    SD: 7.6150 cents
 20:25:31:32:40    SD: 4.1736 cents
 24:30 x 38:48    SD: 5.5160 cents
 25:31:39:40:50    SD: 4.0636 cents
 28:35:44:45:56    SD: 2.9712 cents
 32:40:50:51:64    SD: 1.4855 cents
 55:69:86:88:110    SD: 1.3531 cents
 60:75:94:96:120    SD: 0.7231 cents
 92:115:144:147:184    SD: 0.3950 cents
 147:184:230:235:294    SD: 0.2815 cents
 207:259:324:331:414    SD: 0.2078 cents
 239:299:374:382:478    SD: 0.0949 cents
 538:673:842:860:1076    SD: 0.0900 cents