Scala analysis: Indonesia_Lipurtambaneng
Lipurtambaneng (Saron Demung or Gender Barung), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 216.000 cents 216.000000 2: 470.000 cents 470.000000 3: 704.000 cents 704.000000 4: 954.000 cents 954.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 246.0000 cents 246.0000 1: 216.0000 cents 216.0000 2: 254.0000 cents 254.0000 3: 234.0000 cents 234.0000 4: 250.0000 cents 250.0000 5: 246.0000 cents 246.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 216.00000 cents 1: 1 234.00000 cents 1: 1 246.00000 cents 1: 1 250.00000 cents 1: 1 254.00000 cents 2: 1 462.00000 cents 2: 1 470.00000 cents 2: 1 484.00000 cents 2: 1 488.00000 cents 2: 1 496.00000 cents 3: 1 704.00000 cents 3: 1 712.00000 cents 3: 1 716.00000 cents 3: 1 730.00000 cents 3: 1 738.00000 cents 4: 1 946.00000 cents 4: 1 950.00000 cents 4: 1 954.00000 cents 4: 1 966.00000 cents 4: 1 984.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 216.0 470.0 704.0 954.0 1200.0 216.0 : 254.0 488.0 738.0 984.0 1200.0 470.0 : 234.0 484.0 730.0 946.0 1200.0 704.0 : 250.0 496.0 712.0 966.0 1200.0 954.0 : 246.0 462.0 716.0 950.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 216.0000 .. 254.0000 cents 38.00000 cents 216.00000 cents 2: 462.0000 .. 496.0000 cents 34.00000 cents 208.00000 cents 3: 704.0000 .. 738.0000 cents 34.00000 cents 208.00000 cents 4: 946.0000 .. 984.0000 cents 38.00000 cents 208.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 216.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 254.00000 cents Average / Smallest step : 1.111111 Largest / Average step : 1.058333 Largest / Smallest step : 1.175926 Median interval of one step : 246.00000 cents, amount: 1 Least squares average step : 237.89091 cents, oct.: 1189.45455 cents Scale is strictly proper Scale is a mode of a 600-tone equal temperament with octave 1200.000 cents degrees: 108 235 352 477 600 Least number of segments generator : 301 of 602.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 547 of 1094.000 cents and inv. generated superset size: 112 = 107 more = 2240.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : AEBDC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 208.00000 cents Scale diversity : 1.153980 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.880000 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 4.00000 cents Number of recognisable fifths : 3, average 710.6667 cents Number of appreciable fifths : 2, average 708.0000 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 20.0000% Limited transpositions with margin 38.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 38.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 13.9140 c. M:-24.0000 c. 21: 4 4 4 5 4 SP M ME S SD: 13.8670 c. M: 18.2857 c. 23: 4 5 4 5 5 SP M ME S SD: 13.6905 c. M: 25.7391 c. 24: 4 5 5 5 5 SP M ME S SD: 11.7303 c. M: 20.0000 c. Godzilla-5 26: 5 5 5 6 5 SP M ME S SD: 11.4753 c. M:-15.2308 c. 28: 5 6 5 6 6 SP M ME S SD: 9.6282 c. M: 18.2857 c. 29: 5 6 6 6 6 SP M ME S SD: 7.8513 c. M: 14.8276 c. Immunity-5 33: 6 7 6 7 7 SP M ME S SD: 7.1637 c. M: 13.0909 c. 34: 6 7 7 7 7 SP M ME S SD: 5.4317 c. M: 11.1765 c. Immunity-5 38: 7 8 7 8 8 SP M ME S SD: 5.8118 c. M: 9.2632 c. 39: 7 8 8 8 8 SP M ME S SD: 4.1384 c. M: 8.4615 c. Immunity-5 43: 8 9 8 9 9 SP M ME S SD: 5.2695 c. M:-7.2558 c. 44: 8 9 9 9 9 SP M ME S SD: 3.7808 c. M: 6.3636 c. 49: 9 10 10 10 10 SP M ME S SD: 4.0291 c. M:-6.2041 c. 67: 12 14 13 14 14 SP T3 SD: 3.8101 c. M: 5.4925 c. 68: 12 15 13 14 14 SP SD: 3.5908 c. M:-6.4706 c. 72: 13 15 14 15 15 SP T3 SD: 2.9515 c. M: 4.0000 c. 77: 14 16 15 16 16 SP T3 SD: 2.4238 c. M: 3.3506 c. 82: 15 17 16 17 17 SP T3 SD: 2.2547 c. M:-3.5122 c. 89: 16 19 17 19 18 SP SD: 2.1404 c. M:-3.3034 c. 94: 17 20 18 20 19 SP SD: 2.0932 c. M:-3.4468 c. 99: 18 21 19 21 20 SP SD: 2.2770 c. M:-3.5758 c. 102: 18 22 20 21 21 SP SD: 2.1423 c. M: 4.2353 c. 107: 19 23 21 22 22 SP SD: 1.8195 c. M: 2.9159 c. 112: 20 24 22 23 23 SP SD: 1.7344 c. M:-3.1429 c. 117: 21 25 23 24 24 SP SD: 1.8578 c. M:-3.6923 c. 118: 21 25 23 25 24 SP SD: 1.9929 c. M: 2.4407 c. 123: 22 26 24 26 25 SP SD: 1.5243 c. M:-2.0976 c. 128: 23 27 25 27 26 SP SD: 1.2273 c. M:-2.2500 c. 133: 24 28 26 28 27 SP SD: 1.1620 c. M:-2.3910 c. 138: 25 29 27 29 28 SP SD: 1.3119 c. M:-2.5217 c. 150: 27 32 29 31 31 SP SD: 1.2649 c. M:-2.0000 c. 171: 31 36 33 36 35 SP SD: 1.2334 c. M: 2.2456 c. 179: 32 38 35 37 37 SP SD: 1.1740 c. M: 2.0447 c. 184: 33 39 36 38 38 SP SD: 0.9227 c. M: 1.8261 c. 189: 34 40 37 39 39 SP SD: 0.8054 c. M: 1.6190 c. 194: 35 41 38 40 40 SP SD: 0.8500 c. M: 1.4227 c. 240: 43 51 47 50 49 SP SD: 0.7746 c. M:-1.0000 c. 245: 44 52 48 51 50 SP SD: 0.8002 c. M:-1.3061 c. 250: 45 53 49 52 51 SP SD: 0.9121 c. M:-1.6000 c. 268: 48 57 52 56 55 SP SD: 0.6752 c. M: 1.0746 c. 273: 49 58 53 57 56 SP SD: 0.4485 c. M: 0.7033 c. 278: 50 59 54 58 57 SP SD: 0.2992 c. M:-0.5036 c. 283: 51 60 55 59 58 SP SD: 0.3263 c. M:-0.6714 c. 317: 57 67 62 66 65 SP SD: 0.2913 c. M: 0.5994 c. 322: 58 68 63 67 66 SP SD: 0.2583 c. M: 0.4348 c. 590: 106 125 115 123 121 SP SD: 0.2358 c. M: 0.4068 c. 595: 107 126 116 124 122 SP SD: 0.1169 c. M: 0.2017 c. 600: 108 127 117 125 123 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 1.0225 cents 3 x 4 x 5:6 S SD: 25.0254 cents 4 x 5:6:7:8 S SD: 21.2535 cents 6:7:8:9:10:12 S SD: 18.1422 cents 7:8:9:11:12:14 SD: 17.9399 cents 8:9:11:12:14:16 SD: 16.7126 cents 10:11:13:15:17:20 SD: 12.8127 cents 12:14:16:18:21:24 S SD: 11.9973 cents 14:16:18:21:24:28 S SD: 8.6929 cents 16:18:21:24:28:32 S SD: 3.8511 cents 22:25:29:33:38:44 SD: 2.5417 cents 38:43:50:57:66:76 SD: 1.2234 cents 68:77:89:102:118:136 SD: 0.9273 cents 90:102:118:135:156:180 SD: 0.5930 cents 106:120:139:159:184:212 SD: 0.5255 cents 128:145:168:192:222:256 SD: 0.4602 cents 151:171:198:227:262:302 SD: 0.4156 cents 173:196:227:260:300:346 SD: 0.3289 cents 189:214:248:284:328:378 SD: 0.2922 cents 241:273:316:362:418:482 SD: 0.2380 cents 279:316:366:419:484:558 SD: 0.1048 cents