Scala analysis: xen18-erlich-orwell-05

4L 1s MOS for Orwell, L=271.49, s=113.57

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        271.490 cents     271.490000
  2:        542.980 cents     542.980000
  3:        656.550 cents     656.550000
  4:        928.040 cents     928.040000
  5:       1199.530 cents    1199.530000
SHOW/INTERVAL
  0:        271.4900 cents    271.4900
  1:        271.4900 cents    271.4900
  2:        271.4900 cents    271.4900
  3:        113.5700 cents    113.5700
  4:        271.4900 cents    271.4900
  5:        271.4900 cents    271.4900
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 113.57000 cents
  1:   4 271.49000 cents
  2:   2 385.06000 cents
  2:   3 542.98000 cents
  3:   3 656.55000 cents
  3:   2 814.47000 cents
  4:   4 928.04000 cents
  4:   1 1085.96000 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     4      5     
 0.0   : 271.5 543.0 656.5 928.0  1199.5
 271.5 : 271.5 385.1 656.5 928.0  1199.5
 543.0 : 113.6 385.1 656.5 928.0  1199.5
 656.5 : 271.5 543.0 814.5 1086.0 1199.5
 928.0 : 271.5 543.0 814.5 928.0  1199.5
 1199.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  113.5700  .. 271.4900 cents      157.92000 cents                    113.57000 cents
  2:  385.0600  .. 542.9800 cents      157.92000 cents                    113.57000 cents
  3:  656.5500  .. 814.4700 cents      157.92000 cents                    113.57000 cents
  4:  928.0400  .. 1085.9600 cents     157.92000 cents                    113.57000 cents
SHOW DATA
Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 113.57000 cents, class 1
Average step (divided formal octave): 239.9060 cents
Largest one step interval           : 271.49000 cents
Average / Smallest step             : 2.112406
Largest / Average step              : 1.131652
Largest / Smallest step             : 2.390508
Median interval of one step         : 271.49000 cents, amount: 4
Most common interval of one step    : 271.49000 cents, amount: 4
Least squares average step          : 237.03473 cents, oct.:  1185.17364 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 157.92000 cents and 44.35000 cents, ratio: 3.560767
  generators: 1 of 271.49000 cents and 4 of 928.04000 cents
ET pair of linear temperament       : 22&31
Scale is distributional even
Scale is a mode of a 433-tone equal temperament with octave  1199.530 cents
  degrees: 98 196 237 335 433
  generators: 98 and 335
Number of contiguous 1-step segments: 0
Step pattern alph. order: AABAA
Step pattern size order : LLSLL
Scale is a Constant Structure, by a margin of 113.57000 cents
Scale diversity                     : 1.348856
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.473394
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        : 113.57000 cents
Most common intervals               : 271.49000 cents & inv., amount: 4
Scale is a chain of 2 triads 0.0 542.980 928.040 cents
Most common triad is 0.0 271.490 928.040 cents, amount: 3
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
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 --
FIT/MODE
  5:  1 1 1 1 1  SP B ME I SD: 44.6665 c. M: 63.1680 c. 
  8:  2 2 0 2 2   P M DE I SD: 40.1531 c. M:-56.7850 c. 
  9:  2 2 1 2 2  SP M ME I SD: 6.9689 c. M:-9.8556 c. 
 22:  5 5 2 5 5  SP M DE I SD: 1.5987 c. M: 2.2609 c. 
 31:  7 7 3 7 7  SP M DE I SD: 0.8887 c. M: 1.2568 c. 
 53:  12 12 5 12 12  SP M DE I SD: 0.1438 c. M:-0.2034 c. 
 137: 31 31 13 31 31  SP M DE I SD: 0.0898 c. M:-0.1270 c. 
 190: 43 43 18 43 43  SP M DE I SD: 0.0246 c. M:-0.0348 c. 
 243: 55 55 23 55 55  SP M DE I SD: 0.0121 c. M: 0.0171 c. 
 433: 98 98 41 98 98  SP M DE I SD: 0.0040 c. M: 0.0057 c. 
 676: 153 153 64 153 153  SP M DE I SD: 0.0018 c. M:-0.0025 c. 
 1109: 251 251 105 251 251  SP M DE I SD: 0.0005 c. M:-0.0007 c. 
 1785: 404 404 169 404 404  SP M DE I SD: 0.0004 c. M:-0.0005 c. 
FIT/HARMONIC
 1 x x x x 2  S SD: 0.4700 cents
 2 x x 3 x 4  S SD: 22.7037 cents
 3 x 4 x 5:6  S SD: 20.8897 cents
 4:5 x 6:7:8  S SD: 32.5094 cents
 5:6:7 x 9:10    SD: 26.8476 cents
 6:7:8:9:10:12  S SD: 15.5053 cents
 7:8 x 10:12:14  S SD: 14.0920 cents
 11:13:15:16:19:22    SD: 5.4482 cents
 17:20:23:25:29:34    SD: 4.9781 cents
 24:28:33:35:41:48    SD: 2.0325 cents
 35:41:48:51:60:70    SD: 1.6684 cents
 41:48:56:60:70:82    SD: 0.9684 cents
 65:76:89:95:111:130    SD: 0.4338 cents
 117:137:160:171:200:234    SD: 0.4279 cents
 141:165:193:206:241:282    SD: 0.1925 cents
 323:378:442:472:552:646    SD: 0.1855 cents
 347:406:475:507:593:694    SD: 0.1831 cents
 388:454:531:567:663:776    SD: 0.1760 cents
 529:619:724:773:904:1058    SD: 0.1694 cents