Scala analysis: xen18-erlich-passion-03

1L 2s MOS for Passion, L=1001.51, s=98.40

Generated by Scala: https://www.huygens-fokker.org/scala/

SHOW

  0:          1/1               0.000000 unison, perfect prime
  1:         98.400 cents      98.400000
  2:       1099.910 cents    1099.910000
  3:       1198.310 cents    1198.310000

SHOW/INTERVAL

  0:         98.4000 cents     98.4000
  1:         98.4000 cents     98.4000
  2:       1001.5100 cents   1001.5100
  3:         98.4000 cents     98.4000

SHOW INTERVALS

Interval class, Number of incidences, Size:
  1:   2 98.40000 cents
  1:   1 1001.51000 cents
  2:   1 196.80000 cents
  2:   2 1099.91000 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 2.00000 = 2

SHOW/LINE/CENTS INTERVALS

         1      2      3     
 0.0   : 98.4   1099.9 1198.3
 98.4  : 1001.5 1099.9 1198.3
 1099.9: 98.4   196.8  1198.3
 1198.3

SHOW/SPAN INTERVALS

Interval class, Interval span, Span size, Gap to prev. class:
  1:  98.4000   .. 1001.5100 cents     903.11000 cents                    98.40000 cents
  2:  196.8000  .. 1099.9100 cents     903.11000 cents                   -804.71000 cents

SHOW DATA

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 98.40000 cents, class 1
Average step (divided formal octave): 399.4367 cents
Largest one step interval           : 1001.51000 cents
Average / Smallest step             : 4.059316
Largest / Average step              : 2.507306
Largest / Smallest step             : 10.177947
Median interval of one step         : 98.40000 cents, amount: 2
Most common interval of one step    : 98.40000 cents, amount: 2
Least squares average step          : 420.93929 cents, oct.:  1262.81786 cents
Scale is not proper
Scale has Myhill's property
  chromas: 903.11000 cents and 804.71000 cents, ratio: 1.122280
  generators: 1 of 98.40000 cents and 2 of 1099.91000 cents
ET pair of linear temperament       : 12&61
Scale is distributional even
Scale is a mode of a 341-tone equal temperament with octave  1198.310 cents
  degrees: 28 313 341
  generators: 28 and 313
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 98.40000 cents
Scale diversity                     : 0.672450
Lumma stability                     : 0.164231
Lumma impropriety factor            : 0.671537
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        : 98.40000 cents
Most common intervals               : 98.40000 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 --

FIT/MODE

  3:  0 3 0   N M DE I SD: 80.3433 c. M: 98.4000 c. 
  6:  0 5 1   N G T3   SD: 81.5434 c. M: 101.3183 c. 
  7:  1 5 1   N M DE I SD: 59.4305 c. M: 72.7871 c. 
  8:  1 6 1   N M DE I SD: 41.9587 c. M: 51.3888 c. 
  9:  1 7 1   N M DE I SD: 28.3696 c. M: 34.7456 c. 
 10:  1 8 1   N M DE I SD: 17.4983 c. M: 21.4310 c. 
 11:  1 9 1   N M DE I SD: 8.6036 c. M: 10.5373 c. 
 12:  1 10 1   N M DE I SD: 1.1914 c. M: 1.4592 c. 
 37:  3 31 3   N M DE I SD: 1.0122 c. M: 1.2397 c. 
 49:  4 41 4   N M DE I SD: 0.4726 c. M: 0.5788 c. 
 61:  5 51 5   N M DE I SD: 0.1452 c. M: 0.1779 c. 
 73:  6 61 6   N M DE I SD: 0.0745 c. M: 0.0912 c. 
 134: 11 112 11   N M DE I SD: 0.0255 c. M: 0.0313 c. 
 207: 17 173 17   N M DE I SD: 0.0097 c. M: 0.0119 c. 
 341: 28 285 28   N M DE I SD: 0.0041 c. M: 0.0050 c. 
 548: 45 458 45   N M DE I SD: 0.0011 c. M: 0.0014 c. 
 889: 73 743 73   N M DE I SD: 0.0009 c. M: 0.0011 c. 
 1437: 118 1201 118   N M DE I SD: 0.0001 c. M: 0.0002 c.

FIT/HARMONIC

 1 x x 2  S SD: 1.6900 cents
 2 x x 4  S SD: 1.6900 cents
 3:4 x 6  S SD: 199.8243 cents
 4:5 x 8    SD: 143.9593 cents
 5:6:9:10  S SD: 77.4397 cents
 6:7:11:12    SD: 58.6329 cents
 7:8:13:14    SD: 45.2493 cents
 8:9:15:16    SD: 35.3879 cents
 9:10:17:18    SD: 28.0095 cents
 10:11:19:20    SD: 22.5251 cents
 11:12:21:22    SD: 18.6007 cents
 12:13:23:24    SD: 16.0352 cents
 13:14:25:26    SD: 14.6551 cents
 14:15:26:28    SD: 11.7443 cents
 15:16:28:30    SD: 7.8536 cents
 16:17:30:32    SD: 4.4889 cents
 17:18:32:34    SD: 1.7268 cents
 35:37:66:70    SD: 1.0971 cents
 117:124:221:234    SD: 0.9987 cents
 118:125:223:236    SD: 0.9846 cents
 134:142:253:268    SD: 0.8791 cents
 135:143:255:270    SD: 0.7993 cents
 152:161:287:304    SD: 0.7057 cents
 153:162:289:306    SD: 0.7034 cents
 169:179:319:338    SD: 0.6769 cents
 170:180:321:340    SD: 0.6193 cents
 187:198:353:374    SD: 0.5931 cents
 205:217:387:410    SD: 0.5660 cents
 274:290:517:547    SD: 0.5490 cents
 275:291:519:549    SD: 0.5269 cents
 292:309:551:583    SD: 0.4933 cents
 309:327:583:617    SD: 0.4825 cents
 310:328:585:619    SD: 0.4655 cents
 327:346:617:653    SD: 0.4529 cents
 339:359:640:677    SD: 0.4091 cents
 340:360:642:679    SD: 0.3846 cents
 356:377:672:711    SD: 0.3701 cents
 357:378:674:713    SD: 0.3211 cents
 374:396:706:747    SD: 0.2792 cents
 375:397:708:749    SD: 0.2529 cents
 392:415:740:783    SD: 0.2041 cents
 409:433:772:817    SD: 0.1817 cents
 410:434:774:819    SD: 0.1512 cents
 427:452:806:853    SD: 0.1196 cents
 445:471:840:889    SD: 0.0910 cents
 462:489:872:923    SD: 0.0908 cents