Scala analysis: xen18-erlich-negrisept-03

  0:          1/1               0.000000 unison, perfect prime
  1:        124.840 cents     124.840000
  2:       1078.350 cents    1078.350000
  3:       1203.190 cents    1203.190000

  0:        124.8400 cents    124.8400
  1:        124.8400 cents    124.8400
  2:        953.5100 cents    953.5100
  3:        124.8400 cents    124.8400

Interval class, Number of incidences, Size:
  1:   2 124.84000 cents
  1:   1 953.51000 cents
  2:   1 249.68000 cents
  2:   2 1078.35000 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   : 124.8 1078.3 1203.2
 124.8 : 953.5 1078.3 1203.2
 1078.3: 124.8 249.7  1203.2
 1203.2

Interval class, Interval span, Span size, Gap to prev. class:
  1:  124.8400  .. 953.5100 cents      828.67000 cents                    124.84000 cents
  2:  249.6800  .. 1078.3500 cents     828.67000 cents                   -703.83000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 124.84000 cents, class 1
Average step (divided formal octave): 401.0633 cents
Largest one step interval           : 953.51000 cents
Average / Smallest step             : 3.212619
Largest / Average step              : 2.377455
Largest / Smallest step             : 7.637856
Median interval of one step         : 124.84000 cents, amount: 2
Most common interval of one step    : 124.84000 cents, amount: 2
Least squares average step          : 420.79357 cents, oct.:  1262.38071 cents
Scale is not proper
Scale has Myhill's property
  chromas: 828.67000 cents and 703.83000 cents, ratio: 1.177372
  generators: 1 of 124.84000 cents and 2 of 1078.35000 cents
ET pair of linear temperament       : 10&19
Scale is distributional even
Scale is a mode of a 453-tone equal temperament with octave  1203.190 cents
  degrees: 47 406 453
  generators: 47 and 406
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 124.84000 cents
Scale diversity                     : 0.866919
Lumma stability                     : 0.207515
Lumma impropriety factor            : 0.584970
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        : 124.84000 cents
Most common intervals               : 124.84000 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Formal octave complements present   : 3 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 1-2
-- Rational properties --

  3:  0 3 0   N M DE I SD: 101.9314 c. M:-124.8400 c. 
  5:  0 4 1   N G T3   SD: 98.3094 c. M: 124.8400 c. 
  6:  0 5 1   N G T3   SD: 84.2897 c. M: 124.8400 c. 
  7:  1 5 1   N M DE I SD: 38.4115 c. M: 47.0443 c. 
  8:  1 6 1   N M DE I SD: 20.8686 c. M:-25.5588 c. 
  9:  1 7 1   N M DE I SD: 7.2242 c. M:-8.8478 c. 
 10:  1 8 1   N M DE I SD: 3.6914 c. M:-4.5210 c. 
 19:  2 15 2   N M DE I SD: 1.4791 c. M:-1.8116 c. 
 29:  3 23 3   N M DE I SD: 0.3038 c. M:-0.3721 c. 
 77:  8 61 8   N M DE I SD: 0.1362 c. M:-0.1668 c. 
 106: 11 84 11   N M DE I SD: 0.0158 c. M:-0.0193 c. 
 347: 36 275 36   N M DE I SD: 0.0109 c. M:-0.0134 c. 
 453: 47 359 47   N M DE I SD: 0.0047 c. M:-0.0057 c. 
 559: 58 443 58   N M DE I SD: 0.0008 c. M:-0.0010 c. 
 1224: 127 970 127   N M DE I SD: 0.0006 c. M:-0.0008 c. 
 1783: 185 1413 185   N M DE I SD: 0.0002 c. M:-0.0002 c. 
 2342: 243 1856 243   N M DE I SD: 0.0000 c. M:-0.0000 c. 

 1 x x 2  S SD: 3.1900 cents
 2 x x 4  S SD: 3.1900 cents
 3:4 x 6  S SD: 186.6093 cents
 4:5:7:8    SD: 94.5012 cents
 5:6:9:10  S SD: 66.7552 cents
 6:7:11:12    SD: 48.3313 cents
 7:8:13:14    SD: 35.5298 cents
 8:9:15:16    SD: 26.5845 cents
 9:10:17:18    SD: 20.6528 cents
 10:11:19:20    SD: 17.3283 cents
 11:12:21:22    SD: 16.2136 cents
 12:13:22:24    SD: 10.7446 cents
 13:14:24:26    SD: 5.8548 cents
 14:15:26:28    SD: 3.0460 cents
 38:41:71:76    SD: 2.7866 cents
 51:55:95:102    SD: 2.2809 cents
 52:56:97:104    SD: 1.6046 cents
 53:57:99:106    SD: 1.5923 cents
 66:71:123:132    SD: 1.2042 cents
 67:72:125:134    SD: 1.1490 cents
 81:87:151:162    SD: 1.1282 cents
 133:143:248:266    SD: 1.0924 cents
 146:157:272:293    SD: 1.0374 cents
 147:158:274:295    SD: 0.9029 cents
 161:173:300:323    SD: 0.7921 cents
 175:188:326:351    SD: 0.7779 cents
 185:199:345:371    SD: 0.7143 cents
 186:200:347:373    SD: 0.6850 cents
 199:214:371:399    SD: 0.5029 cents
 200:215:373:401    SD: 0.4536 cents
 213:229:397:427    SD: 0.3693 cents
 214:230:399:429    SD: 0.2900 cents
 228:245:425:457    SD: 0.2439 cents
 280:301:522:561    SD: 0.1259 cents
 508:546:947:1018    SD: 0.0814 cents
 575:618:1072:1152    SD: 0.0635 cents