Scala analysis: Indonesia_Konservatori_Karawitan_Gamelan_II_b
Konservatori Karawitan Gamelan II (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: 227.000 cents 227.000000 2: 473.000 cents 473.000000 3: 732.000 cents 732.000000 4: 976.000 cents 976.000000 5: 1216.000 cents 1216.000000
SHOW/INTERVAL
0: 240.0000 cents 240.0000 1: 227.0000 cents 227.0000 2: 246.0000 cents 246.0000 3: 259.0000 cents 259.0000 4: 244.0000 cents 244.0000 5: 240.0000 cents 240.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 227.00000 cents 1: 1 240.00000 cents 1: 1 244.00000 cents 1: 1 246.00000 cents 1: 1 259.00000 cents 2: 1 467.00000 cents 2: 1 473.00000 cents 2: 1 484.00000 cents 2: 1 503.00000 cents 2: 1 505.00000 cents 3: 1 711.00000 cents 3: 1 713.00000 cents 3: 1 732.00000 cents 3: 1 743.00000 cents 3: 1 749.00000 cents 4: 1 957.00000 cents 4: 1 970.00000 cents 4: 1 972.00000 cents 4: 1 976.00000 cents 4: 1 989.00000 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 : 227.0 473.0 732.0 976.0 1216.0 227.0 : 246.0 505.0 749.0 989.0 1216.0 473.0 : 259.0 503.0 743.0 970.0 1216.0 732.0 : 244.0 484.0 711.0 957.0 1216.0 976.0 : 240.0 467.0 713.0 972.0 1216.0 1216.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 227.0000 .. 259.0000 cents 32.00000 cents 227.00000 cents 2: 467.0000 .. 505.0000 cents 38.00000 cents 208.00000 cents 3: 711.0000 .. 749.0000 cents 38.00000 cents 206.00000 cents 4: 957.0000 .. 989.0000 cents 32.00000 cents 208.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 227.00000 cents, class 1 Average step (divided formal octave): 243.2000 cents Largest one step interval : 259.00000 cents Average / Smallest step : 1.071366 Largest / Average step : 1.064967 Largest / Smallest step : 1.140969 Median interval of one step : 244.00000 cents, amount: 1 Least squares average step : 242.78182 cents, oct.: 1213.90909 cents Scale is strictly proper Scale is a mode of a 1216-tone equal temperament with octave 1216.000 cents degrees: 227 473 732 976 1216 Least number of segments generator : 609 of 609.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 973 of 973.000 cents and inv. generated superset size: 98 = 93 more = 1960.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : ADECB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 206.00000 cents Scale diversity : 1.126114 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.884868 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 : 2.00000 cents Number of recognisable fifths : 2, average 712.0000 cents Number of recognisable fourths : 3, average 497.3333 cents Number of appreciable fourths : 2, average 504.0000 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% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 32.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 32.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 9.5708 c. M:-16.2000 c. 26: 5 5 6 5 5 SP M ME I SD: 8.7046 c. M:-16.3077 c. Quasi-equal Pentatonic, Mothra-5 31: 6 6 7 6 6 SP M ME I SD: 7.3927 c. M:-13.2903 c. Quasi-equal Pentatonic, Mothra-5 36: 7 7 8 7 7 SP M ME I SD: 6.7128 c. M:-11.1111 c. Quasi-equal Pentatonic 41: 8 8 9 8 8 SP M ME I SD: 6.4003 c. M:-10.2683 c. Quasi-equal Pentatonic 42: 8 8 9 9 8 SP D3 S SD: 7.1268 c. M: 9.7619 c. 46: 9 9 10 9 9 SP M ME I SD: 6.2968 c. M:-10.9130 c. 47: 9 9 10 10 9 SP D3 S SD: 6.2606 c. M: 7.5745 c. 50: 9 10 11 10 10 SP T3 SD: 6.3432 c. M: 10.9200 c. 51: 10 10 11 10 10 SP M ME I SD: 6.3087 c. M:-11.4314 c. 52: 10 10 11 11 10 SP D3 S SD: 5.7095 c. M: 7.0769 c. 55: 10 11 12 11 11 SP T3 SD: 5.0352 c. M: 8.7091 c. 60: 11 12 13 12 12 SP T3 SD: 3.9922 c. M: 6.8667 c. 65: 12 13 14 13 13 SP T3 SD: 3.1768 c. M: 5.3077 c. 70: 13 14 15 14 14 SP T3 SD: 2.5747 c. M: 3.9714 c. 75: 14 15 16 15 15 SP T3 SD: 2.1870 c. M: 3.2000 c. 80: 15 16 17 16 16 SP T3 SD: 2.0120 c. M: 3.2000 c. 106: 20 21 23 21 21 SP T3 SD: 1.9294 c. M: 2.6604 c. 108: 20 22 23 22 21 SP SD: 1.7872 c. M:-3.5556 c. 113: 21 23 24 23 22 SP SD: 1.5453 c. M:-3.2566 c. 118: 22 24 25 24 23 SP SD: 1.4259 c. M:-2.9831 c. 123: 23 25 26 25 24 SP SD: 1.4246 c. M:-2.7317 c. 128: 24 26 27 26 25 SP SD: 1.5166 c. M:-2.5000 c. 133: 25 27 28 27 26 SP SD: 1.6684 c. M:-2.4286 c. 141: 26 29 30 28 28 SP SD: 1.5954 c. M: 2.7730 c. 146: 27 30 31 29 29 SP SD: 1.4667 c. M: 2.1233 c. 151: 28 31 32 30 30 SP SD: 1.4156 c. M:-2.1258 c. 173: 32 35 37 35 34 SP SD: 1.4552 c. M: 2.0751 c. 178: 33 36 38 36 35 SP SD: 1.1807 c. M: 1.6292 c. 183: 34 37 39 37 36 SP SD: 0.9392 c. M: 1.2186 c. 188: 35 38 40 38 37 SP SD: 0.7426 c. M: 1.1064 c. 193: 36 39 41 39 38 SP SD: 0.6135 c. M: 1.1399 c. 198: 37 40 42 40 39 SP SD: 0.5787 c. M: 1.1717 c. 304: 57 61 65 61 60 SP SD: 0.6325 c. M:-1.0000 c. 334: 62 68 71 67 66 SP SD: 0.6070 c. M: 1.2754 c. 339: 63 69 72 68 67 SP SD: 0.5372 c. M: 1.0177 c. 344: 64 70 73 69 68 SP SD: 0.5020 c. M: 0.7674 c. 365: 68 74 78 73 72 SP SD: 0.4690 c. M:-0.9315 c. 370: 69 75 79 74 73 SP SD: 0.4271 c. M:-0.8865 c. 375: 70 76 80 75 74 SP SD: 0.4234 c. M:-0.8427 c. 380: 71 77 81 76 75 SP SD: 0.4561 c. M:-0.8000 c. 385: 72 78 82 77 76 SP SD: 0.5158 c. M:-0.7662 c. 422: 79 85 90 85 83 SP SD: 0.5099 c. M:-0.8341 c. 435: 81 88 93 87 86 SP SD: 0.4429 c. M: 0.5770 c. 440: 82 89 94 88 87 SP SD: 0.3587 c. M: 0.4364 c. 445: 83 90 95 89 88 SP SD: 0.2954 c. M: 0.4674 c. 450: 84 91 96 90 89 SP SD: 0.2652 c. M: 0.4978 c. 558: 104 113 119 112 110 SP SD: 0.2332 c. M: 0.3620 c. 563: 105 114 120 113 111 SP SD: 0.1723 c. M:-0.2558 c. 568: 106 115 121 114 112 SP SD: 0.1417 c. M:-0.2254 c. 573: 107 116 122 115 113 SP SD: 0.1573 c. M:-0.2426 c. 643: 120 130 137 129 127 SP SD: 0.1401 c. M: 0.2162 c. 648: 121 131 138 130 128 SP SD: 0.1242 c. M: 0.1975 c. 1018: 190 206 217 204 201 SP SD: 0.1126 c. M:-0.2279 c. 1206: 225 244 257 242 238 SP SD: 0.0794 c. M: 0.1343 c. 1211: 226 245 258 243 239 SP SD: 0.0395 c. M: 0.0669 c. 1216: 227 246 259 244 240 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 16.0000 cents 2 x x 3 x 4 S SD: 17.0199 cents 3 x 4 x 5:6 S SD: 32.1133 cents 4 x 5:6:7:8 S SD: 23.3515 cents 6:7:8:9:11:12 SD: 18.7166 cents 7:8:9:11:12:14 SD: 15.6184 cents 9:10:12:14:16:18 S SD: 13.2048 cents 12:14:16:18:21:24 S SD: 11.7083 cents 13:15:17:20:23:26 SD: 6.5961 cents 21:24:28:32:37:42 SD: 6.0967 cents 28:32:37:43:49:57 SD: 4.4190 cents 29:33:38:44:51:59 SD: 3.6244 cents 36:41:47:55:63:73 SD: 3.1621 cents 42:48:55:64:74:85 SD: 2.0390 cents 51:58:67:78:90:103 SD: 1.8567 cents 57:65:75:87:100:115 SD: 0.7337 cents 99:113:130:151:174:200 SD: 0.6075 cents 156:178:205:238:274:315 SD: 0.3736 cents 207:236:272:316:364:418 SD: 0.2801 cents 264:301:347:403:464:533 SD: 0.1199 cents 585:667:769:893:1028:1181 SD: 0.1150 cents