Scala analysis: xen18-erlich-blackwood-05

5L MOS for Blackwood, L=238.87

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        238.870 cents     238.870000
  2:        477.740 cents     477.740000
  3:        716.610 cents     716.610000
  4:        955.480 cents     955.480000
  5:       1194.350 cents    1194.350000
SHOW/INTERVAL
  0:        238.8700 cents    238.8700
  1:        238.8700 cents    238.8700
  2:        238.8700 cents    238.8700
  3:        238.8700 cents    238.8700
  4:        238.8700 cents    238.8700
  5:        238.8700 cents    238.8700
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   5 238.87000 cents
  2:   5 477.74000 cents
  3:   5 716.61000 cents
  4:   5 955.48000 cents
Only one interval per interval class, scale is equal tempered
Average number of different intervals per interval class: 1.00000 = 1
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     
 0.0   : 238.9 477.7 716.6 955.5 1194.3
 238.9 : 238.9 477.7 716.6 955.5 1194.3
 477.7 : 238.9 477.7 716.6 955.5 1194.3
 716.6 : 238.9 477.7 716.6 955.5 1194.3
 955.5 : 238.9 477.7 716.6 955.5 1194.3
 1194.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  238.8700  .. 238.8700 cents      1/1, 0.0000 cents                  238.87000 cents
  2:  477.7400  .. 477.7400 cents      1/1, 0.0000 cents                  238.87000 cents
  3:  716.6100  .. 716.6100 cents      1/1, 0.0000 cents                  238.87000 cents
  4:  955.4800  .. 955.4800 cents      1/1, 0.0000 cents                  238.87000 cents
SHOW DATA
Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 238.87000 cents, class 1
Average step (divided formal octave): 238.8700 cents
Largest one step interval           : 238.87000 cents
Average / Smallest step             : 1.000000
Largest / Average step              : 1.000000
Largest / Smallest step             : 1.000000
Median interval of one step         : 238.87000 cents, amount: 5
Most common interval of one step    : 238.87000 cents, amount: 5
Least squares average step          : 238.87000 cents, oct.:  1194.35000 cents
Scale is strictly proper
Scale is equal tempered
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a Constant Structure, by a margin of 238.87000 cents
Scale diversity                     : 1.000000
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 1.000000
Rothenberg efficiency               : 0.200000   redundancy: 0.800000
Efficiency x scale size             : 1.000000
Number of different interval sizes  : 4 = 1.00000 / class
Number of one step interval sizes   : 1
Mean interval variety               : 1.00000 = 1
Lowest interval variety             : 1
Number of recognisable fifths       : 5, average 716.6100 cents
Number of appreciable fifths        : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
Best major thirds form a closed circle
Best minor thirds form a closed circle
Limited transpositions              : all
Inversional symmetry on degrees     : all
Inversional symmetry on intervals   : all
-- Rational properties --
FIT/MODE
  5:  1 1 1 1 1  SP B ME I SD: 0.0000 c. M: 0.0000 c. 
FIT/HARMONIC
 1 x x x x 2  S SD: 5.6500 cents
 2 x x 3 x 4  S SD: 7.8532 cents
 3 x 4 x 5:6  S SD: 24.7262 cents
 4 x 5:6:7:8  S SD: 23.4302 cents
 6:7:8:9:10:12  S SD: 16.1261 cents
 12:14:16:18:21:24  S SD: 8.0527 cents
 15:17:20:23:26:30    SD: 7.7306 cents
 19:22:25:29:33:38    SD: 4.4756 cents
 34:39:45:51:59:68    SD: 3.5030 cents
 35:40:46:53:61:70    SD: 2.4875 cents
 41:47:54:62:71:82    SD: 1.5821 cents
 82:94:108:124:142:163    SD: 1.4838 cents
 88:101:116:133:153:175    SD: 0.9989 cents
 107:123:141:162:186:213    SD: 0.8224 cents
 129:148:170:195:224:257    SD: 0.3911 cents
 148:170:195:224:257:295    SD: 0.2832 cents
 277:318:365:419:481:552    SD: 0.1307 cents
 466:535:614:705:809:929    SD: 0.1230 cents
 595:683:784:900:1033:1186    SD: 0.1059 cents