Scala analysis: xen18-erlich-bug-05

4L 1s MOS for Bug, L=260.3, s=158.8

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        260.300 cents     260.300000
  2:        520.600 cents     520.600000
  3:        679.400 cents     679.400000
  4:        939.700 cents     939.700000
  5:       1200.000 cents    1200.000000
SHOW/INTERVAL
  0:        260.3000 cents    260.3000
  1:        260.3000 cents    260.3000
  2:        260.3000 cents    260.3000
  3:        158.8000 cents    158.8000
  4:        260.3000 cents    260.3000
  5:        260.3000 cents    260.3000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 158.80000 cents
  1:   4 260.30000 cents
  2:   2 419.10000 cents
  2:   3 520.60000 cents
  3:   3 679.40000 cents
  3:   2 780.90000 cents
  4:   4 939.70000 cents
  4:   1 1041.20000 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   : 260.3 520.6 679.4 939.7  1200.0
 260.3 : 260.3 419.1 679.4 939.7  1200.0
 520.6 : 158.8 419.1 679.4 939.7  1200.0
 679.4 : 260.3 520.6 780.9 1041.2 1200.0
 939.7 : 260.3 520.6 780.9 939.7  1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  158.8000  .. 260.3000 cents      101.50000 cents                    158.80000 cents
  2:  419.1000  .. 520.6000 cents      101.50000 cents                    158.80000 cents
  3:  679.4000  .. 780.9000 cents      101.50000 cents                    158.80000 cents
  4:  939.7000  .. 1041.2000 cents     101.50000 cents                    158.80000 cents
SHOW DATA
Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 158.80000 cents, class 1
Average step (divided formal octave): 240.0000 cents
Largest one step interval           : 260.30000 cents
Average / Smallest step             : 1.511335
Largest / Average step              : 1.084583
Largest / Smallest step             : 1.639169
Median interval of one step         : 260.30000 cents, amount: 4
Most common interval of one step    : 260.30000 cents, amount: 4
Least squares average step          : 238.15455 cents, oct.:  1190.77273 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 101.50000 cents and 57.30000 cents, ratio: 1.771379
  generators: 1 of 260.30000 cents and 4 of 939.70000 cents
ET pair of linear temperament       : 14&23
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 733-tone equal temperament with octave  1200.000 cents
  degrees: 159 318 415 574 733
  generators: 159 and 574
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 158.80000 cents
Scale diversity                     : 1.337506
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.661667
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        : 101.50000 cents
Most common intervals               : 260.30000 cents & inv., amount: 4
Scale is a chain of 2 triads 0.0 520.600 939.700 cents
Most common triad is 0.0 260.300 939.700 cents, amount: 3
Number of recognisable fifths       : 0
Best fifths form a closed circle
Formal octave complements present   : 5 = 100.0000%
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: 28.7085 c. M:-40.6000 c. 
  9:  2 2 1 2 2  SP M ME I SD: 9.0038 c. M:-12.7333 c. 
 14:  3 3 2 3 3  SP M ME I SD: 4.4649 c. M:-6.3143 c.  Semaphore-5
 23:  5 5 3 5 5  SP M DE I SD: 0.8055 c. M:-1.1391 c.  Semaphore-5
 60:  13 13 8 13 13  SP M DE I SD: 0.4243 c. M:-0.6000 c. 
 83:  18 18 11 18 18  SP M DE I SD: 0.0835 c. M:-0.1181 c. 
 189: 41 41 25 41 41  SP M DE I SD: 0.0247 c. M:-0.0349 c. 
 272: 59 59 36 59 59  SP M DE I SD: 0.0083 c. M:-0.0118 c. 
 461: 100 100 61 100 100  SP M DE I SD: 0.0052 c. M:-0.0074 c. 
 733: 159 159 97 159 159  SP M DE I SD: 0.0002 c. M:-0.0003 c. 
FIT/HARMONIC
 1 x x x x 2  S SD: 0.0000 cents
 2 x x 3 x 4  S SD: 11.2775 cents
 3 x 4 x 5:6  S SD: 19.9204 cents
 4:5 x 6:7:8  S SD: 32.8220 cents
 5:6:7 x 9:10    SD: 28.4645 cents
 6:7:8:9:10:12  S SD: 12.8426 cents
 11:13:15:16:19:22    SD: 9.1409 cents
 12:14:16:18:21:24  S SD: 8.7383 cents
 14:16:19:21:24:28    SD: 7.6567 cents
 17:20:23:25:29:34    SD: 5.7122 cents
 23:27:31:34:40:46    SD: 5.1281 cents
 25:29:34:37:43:50    SD: 2.4486 cents
 37:43:50:55:64:74    SD: 2.2639 cents
 43:50:58:64:74:86    SD: 1.8933 cents
 54:63:73:80:93:108    SD: 1.3866 cents
 68:79:92:101:117:136    SD: 1.2359 cents
 79:92:107:117:136:158    SD: 1.1655 cents
 86:100:116:127:148:172    SD: 1.0458 cents
 100:116:135:148:172:200    SD: 0.7334 cents
 123:143:166:182:212:246    SD: 0.6825 cents
 129:150:174:191:222:258    SD: 0.5339 cents
 148:172:200:219:255:296    SD: 0.4994 cents
 154:179:208:228:265:308    SD: 0.0534 cents