Scala analysis: Indonesia_Preret

Preret, Indonesia

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        134.000 cents     134.000000
  2:        525.000 cents     525.000000
  3:        729.000 cents     729.000000
SHOW/INTERVAL
  0:        204.0000 cents    204.0000
  1:        134.0000 cents    134.0000
  2:        391.0000 cents    391.0000
  3:        204.0000 cents    204.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 134.00000 cents
  1:   1 204.00000 cents
  1:   1 391.00000 cents
  2:   1 338.00000 cents
  2:   1 525.00000 cents
  2:   1 595.00000 cents
Highest number of different intervals for one interval class: 3
Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
        1     2     3    
 0.0  : 134.0 525.0 729.0
 134.0: 391.0 595.0 729.0
 525.0: 204.0 338.0 729.0
 729.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  134.0000  .. 391.0000 cents      257.00000 cents                    134.00000 cents
  2:  338.0000  .. 595.0000 cents      257.00000 cents                   -53.00000 cents
SHOW DATA
Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 134.00000 cents, class 1
Average step (divided formal octave): 243.0000 cents
Largest one step interval           : 391.00000 cents
Average / Smallest step             : 1.813433
Largest / Average step              : 1.609053
Largest / Smallest step             : 2.917910
Median interval of one step         : 204.00000 cents, amount: 1
Least squares average step          : 240.78571 cents, oct.:  722.35714 cents
Scale is not proper
Scale has trivalence property
Scale is a mode of a 729-tone equal temperament with octave  729.000 cents
  degrees: 134 525 729
Least number of segments generator  : 365 of 365.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 694 of 694.000 cents and inv.
  generated superset size: 33 = 30 more = 1100.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : SLM
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 53.00000 cents
Scale diversity                     : 1.620225
Lumma stability                     : 0.367627
Lumma impropriety factor            : 0.072702
Rothenberg efficiency               : 0.666667   redundancy: 0.333333
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 6 = 3.00000 / class
Number of one step interval sizes   : 3
Highest interval variety            : 3
Mean interval variety               : 3.00000 = 3
Median interval variety             : 3
Lowest interval variety             : 3
Smallest interval difference        : 53.00000 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --
FIT/MODE
  3:  0 2 1   N G T3   SD: 80.5750 c. M: 134.0000 c. 
  4:  1 2 1   P M ME I SD: 30.5566 c. M:-48.2500 c. 
  6:  1 3 2   P   T3   SD: 23.6449 c. M: 39.0000 c. 
  7:  1 4 2   N   T3   SD: 17.4147 c. M: 29.8571 c. 
 10:  2 5 3   P   T3   SD: 10.8832 c. M: 14.7000 c. 
 11:  2 6 3   N   T3   SD: 3.1074 c. M:-5.1818 c. 
 21:  4 11 6   N   T3   SD: 3.7398 c. M:-4.8571 c. 
 28:  5 15 8   N   T3   SD: 3.3152 c. M: 4.2857 c. 
 32:  6 17 9   N   T3   SD: 1.6619 c. M:-2.6875 c. 
 43:  8 23 12   N   T3   SD: 0.9936 c. M:-1.6279 c. 
 54:  10 29 15   N   T3   SD: 1.0408 c. M:-1.5000 c. 
 71:  13 38 20   N   T3   SD: 0.8366 c. M: 1.3521 c. 
 82:  15 44 23   N   T3   SD: 0.4633 c. M: 0.6463 c. 
 93:  17 50 26   N   T3   SD: 0.4427 c. M: 0.7419 c. 
 114: 21 61 32   N   T3   SD: 0.4011 c. M: 0.6316 c. 
 125: 23 67 35   N   T3   SD: 0.1047 c. M:-0.1360 c. 
 261: 48 140 73   N   T3   SD: 0.0718 c. M:-0.1034 c. 
 343: 63 184 96   N   T3   SD: 0.0623 c. M: 0.1020 c. 
 386: 71 207 108   N   T3   SD: 0.0553 c. M:-0.0907 c. 
 468: 86 251 131   N   T3   SD: 0.0400 c. M: 0.0577 c. 
 604: 111 324 169   N   T3   SD: 0.0217 c. M: 0.0281 c. 
 729: 134 391 204   N   T3   SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 1 x x 2  S SD: 471.0000 cents
 2 x x 3  S SD: 27.0450 cents
 3 x 4:5  S SD: 78.8399 cents
 4 x 5:6  S SD: 70.6493 cents
 5:6:7:8  H SD: 69.5006 cents
 6:7:8:9  H SD: 46.0829 cents
 8:9:11:12    SD: 26.4816 cents
 9:10:12:14  S SD: 22.0087 cents
 11:12:15:17    SD: 10.6803 cents
 14:15:19:21    SD: 10.3115 cents
 23:25:31:35    SD: 4.4674 cents
 25:27:34:38    SD: 2.8128 cents
 48:52:65:73    SD: 1.8542 cents
 73:79:99:111    SD: 1.6891 cents
 76:82:103:116    SD: 1.3765 cents
 88:95:119:134    SD: 1.0371 cents
 99:107:134:151    SD: 0.7136 cents
 124:134:168:189    SD: 0.3430 cents
 212:229:287:323    SD: 0.2566 cents
 237:256:321:361    SD: 0.2378 cents
 336:363:455:512    SD: 0.1038 cents