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