Scala analysis: xen18-erlich-negrisept-04

  0:          1/1               0.000000 unison, perfect prime
  1:        124.840 cents     124.840000
  2:        249.680 cents     249.680000
  3:       1078.350 cents    1078.350000
  4:       1203.190 cents    1203.190000

  0:        124.8400 cents    124.8400
  1:        124.8400 cents    124.8400
  2:        124.8400 cents    124.8400
  3:        828.6700 cents    828.6700
  4:        124.8400 cents    124.8400

Interval class, Number of incidences, Size:
  1:   3 124.84000 cents
  1:   1 828.67000 cents
  2:   2 249.68000 cents
  2:   2 953.51000 cents
  3:   1 374.52000 cents
  3:   3 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      4     
 0.0   : 124.8 249.7 1078.3 1203.2
 124.8 : 124.8 953.5 1078.3 1203.2
 249.7 : 828.7 953.5 1078.3 1203.2
 1078.3: 124.8 249.7 374.5  1203.2
 1203.2

Interval class, Interval span, Span size, Gap to prev. class:
  1:  124.8400  .. 828.6700 cents      703.83000 cents                    124.84000 cents
  2:  249.6800  .. 953.5100 cents      703.83000 cents                   -578.99000 cents
  3:  374.5200  .. 1078.3500 cents     703.83000 cents                   -578.99000 cents

Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 124.84000 cents, class 1
Average step (divided formal octave): 300.7975 cents
Largest one step interval           : 828.67000 cents
Average / Smallest step             : 2.409464
Largest / Average step              : 2.754910
Largest / Smallest step             : 6.637856
Median interval of one step         : 124.84000 cents, amount: 3
Most common interval of one step    : 124.84000 cents, amount: 3
Least squares average step          : 289.06700 cents, oct.:  1156.26800 cents
Scale is not proper
Scale has Myhill's property
  chromas: 703.83000 cents and 578.99000 cents, ratio: 1.215617
  generators: 1 of 124.84000 cents and 3 of 1078.35000 cents
ET pair of linear temperament       : 10&19
Scale is distributional even
Scale is a mode of a 559-tone equal temperament with octave  1203.190 cents
  degrees: 58 116 501 559
  generators: 58 and 501
Number of contiguous 1-step segments: 0
Step pattern alph. order: AABA
Step pattern size order : SSLS
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 124.84000 cents
Scale diversity                     : 1.133975
Lumma stability                     : 0.207515
Lumma impropriety factor            : 0.584970
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        : 124.84000 cents
Most common intervals               : 124.84000 cents & inv., amount: 3
Scale is a chain of 2 triads 0.0 124.840 1078.350 cents
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:  0 0 3 1   N        SD: 164.9895 c. M: 249.6800 c. 
  5:  0 1 3 1   N   D3   SD: 85.2584 c. M: 124.8400 c. 
  6:  0 1 4 1   N   D3   SD: 77.0224 c. M: 124.8400 c. 
  8:  1 1 5 1   N M DE   SD: 31.3029 c. M:-51.1175 c. 
  9:  1 1 6 1   N M DE   SD: 10.8363 c. M:-17.6956 c. 
 10:  1 1 7 1   N M DE   SD: 5.5371 c. M: 9.0420 c. 
 19:  2 2 13 2   N M DE   SD: 2.2187 c. M:-3.6232 c. 
 29:  3 3 20 3   N M DE   SD: 0.4557 c. M: 0.7441 c. 
 77:  8 8 53 8   N M DE   SD: 0.2042 c. M:-0.3335 c. 
 106: 11 11 73 11   N M DE   SD: 0.0237 c. M:-0.0387 c. 
 347: 36 36 239 36   N M DE   SD: 0.0164 c. M: 0.0267 c. 
 453: 47 47 312 47   N M DE   SD: 0.0070 c. M: 0.0114 c. 
 559: 58 58 385 58   N M DE   SD: 0.0012 c. M: 0.0019 c. 
 1224: 127 127 843 127   N M DE   SD: 0.0010 c. M:-0.0016 c. 
 1783: 185 185 1228 185   N M DE   SD: 0.0003 c. M:-0.0005 c. 
 2342: 243 243 1613 243   N M DE   SD: 0.0001 c. M: 0.0001 c. 

 1 x x x 2  S SD: 3.1900 cents
 2 x x x 4  S SD: 3.1900 cents
 3 x 4 x 6  S SD: 124.1927 cents
 4 x 5:7:8    SD: 58.3804 cents
 5 x 6:9:10  S SD: 29.9111 cents
 6 x 7:11:12    SD: 11.2840 cents
 7 x 8:13:14    SD: 6.6403 cents
 8 x 9:15:16    SD: 15.6470 cents
 9:10 x 17:18    SD: 20.6528 cents
 11:12:13:21:22    SD: 15.6695 cents
 12:13:14:22:24    SD: 9.1328 cents
 13:14:15:24:26    SD: 4.4178 cents
 27:29:31:50:54    SD: 4.0013 cents
 37:40:43:69:74    SD: 3.7349 cents
 38:41:44:71:76    SD: 2.3305 cents
 39:42:45:73:78    SD: 2.1548 cents
 51:55:59:95:102    SD: 1.8283 cents
 52:56:60:97:104    SD: 1.2974 cents
 96:103:111:179:192    SD: 1.1722 cents
 109:117:126:203:218    SD: 1.1116 cents
 134:144:155:250:268    SD: 1.0447 cents
 135:145:156:252:270    SD: 1.0219 cents
 147:158:170:274:295    SD: 0.8392 cents
 148:159:171:276:297    SD: 0.7065 cents
 161:173:186:300:323    SD: 0.5964 cents
 186:200:215:347:373    SD: 0.5900 cents
 199:214:230:371:399    SD: 0.4469 cents
 200:215:231:373:401    SD: 0.3442 cents
 213:229:246:397:427    SD: 0.2879 cents
 296:318:342:552:593    SD: 0.2553 cents
 309:332:357:576:619    SD: 0.1907 cents
 496:533:573:925:994    SD: 0.1831 cents
 508:546:587:947:1018    SD: 0.1524 cents
 509:547:588:949:1020    SD: 0.0826 cents
 522:561:603:973:1046    SD: 0.0818 cents
 561:603:648:1046:1124    SD: 0.0753 cents