Scala analysis: Indonesia_RRI_Sala
RRI Sala (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: 242.000 cents 242.000000 2: 513.000 cents 513.000000 3: 730.000 cents 730.000000 4: 961.000 cents 961.000000 5: 1213.000 cents 1213.000000
SHOW/INTERVAL
0: 252.0000 cents 252.0000 1: 242.0000 cents 242.0000 2: 271.0000 cents 271.0000 3: 217.0000 cents 217.0000 4: 231.0000 cents 231.0000 5: 252.0000 cents 252.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 217.00000 cents 1: 1 231.00000 cents 1: 1 242.00000 cents 1: 1 252.00000 cents 1: 1 271.00000 cents 2: 1 448.00000 cents 2: 1 483.00000 cents 2: 1 488.00000 cents 2: 1 494.00000 cents 2: 1 513.00000 cents 3: 1 700.00000 cents 3: 1 719.00000 cents 3: 1 725.00000 cents 3: 1 730.00000 cents 3: 1 765.00000 cents 4: 1 942.00000 cents 4: 1 961.00000 cents 4: 1 971.00000 cents 4: 1 982.00000 cents 4: 1 996.00000 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 : 242.0 513.0 730.0 961.0 1213.0 242.0 : 271.0 488.0 719.0 971.0 1213.0 513.0 : 217.0 448.0 700.0 942.0 1213.0 730.0 : 231.0 483.0 725.0 996.0 1213.0 961.0 : 252.0 494.0 765.0 982.0 1213.0 1213.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 217.0000 .. 271.0000 cents 54.00000 cents 217.00000 cents 2: 448.0000 .. 513.0000 cents 65.00000 cents 177.00000 cents 3: 700.0000 .. 765.0000 cents 65.00000 cents 187.00000 cents 4: 942.0000 .. 996.0000 cents 54.00000 cents 177.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 217.00000 cents, class 1 Average step (divided formal octave): 242.6000 cents Largest one step interval : 271.00000 cents Average / Smallest step : 1.117972 Largest / Average step : 1.117065 Largest / Smallest step : 1.248848 Median interval of one step : 242.00000 cents, amount: 1 Least squares average step : 243.03636 cents, oct.: 1215.18182 cents Scale is strictly proper Scale is a mode of a 1213-tone equal temperament with octave 1213.000 cents degrees: 242 513 730 961 1213 Least number of segments generator : 607 of 607.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 728 of 728.000 cents and inv. generated superset size: 187 = 182 more = 3740.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : CEABD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 177.00000 cents Scale diversity : 1.232142 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.803792 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 : 5.00000 cents Number of recognisable fifths : 2, average 709.5000 cents Number of appreciable fifths : 1, average 700.0000 cents Number of recognisable fourths : 4, average 494.5000 cents Number of appreciable fourths : 2, average 491.0000 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 65.0000 cents: 1 3 4 Limited inverse transpositions with margin 65.0000 cents: 1 2 3 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 13.1636 c. M: 27.8000 c. 18: 4 4 3 3 4 SP D3 S SD: 19.3726 c. M:-27.5556 c. 19: 4 4 3 4 4 SP M ME I SD: 13.8890 c. M: 27.7368 c. Quasi-equal Pentatonic, Semaphore-5 21: 4 5 4 4 4 SP M ME S SD: 14.4429 c. M:-20.9524 c. 22: 4 5 4 4 5 SP M ME S SD: 17.1896 c. M: 23.6818 c. Raga Durga 23: 5 5 4 4 5 SP D3 S SD: 13.2988 c. M:-21.6957 c. 24: 5 5 4 5 5 SP M ME I SD: 11.6205 c. M: 22.4167 c. Quasi-equal Pentatonic, Semaphore-5 25: 5 6 4 5 5 SP T3 SD: 10.2262 c. M:-20.7200 c. 26: 5 6 5 5 5 SP M ME S SD: 11.8160 c. M:-18.7308 c. 28: 6 6 5 5 6 SP D3 S SD: 9.7273 c. M:-17.9286 c. 30: 6 7 5 6 6 SP T3 SD: 7.1156 c. M:-12.6333 c. 35: 7 8 6 7 7 SP T3 SD: 5.3025 c. M:-9.4000 c. 40: 8 9 7 8 8 SP T3 SD: 4.4707 c. M:-9.4000 c. 45: 9 10 8 9 9 SP T3 SD: 4.3422 c. M:-9.4000 c. 52: 10 12 9 10 11 SP SD: 5.3763 c. M: 8.7308 c. 55: 11 12 10 11 11 SP T3 SD: 5.0313 c. M:-9.4000 c. 56: 11 13 10 10 12 SP SD: 5.7550 c. M: 7.9286 c. 57: 11 13 10 11 12 SP SD: 4.9143 c. M: 7.9123 c. 61: 12 14 11 11 13 SP SD: 4.5388 c. M: 6.5082 c. 62: 12 14 11 12 13 SP SD: 4.7694 c. M: 7.2258 c. 66: 13 15 12 12 14 SP SD: 3.6524 c. M: 5.3030 c. 71: 14 16 13 13 15 SP SD: 3.0931 c. M:-4.6338 c. 73: 15 16 13 14 15 SP SD: 3.6278 c. M:-7.2466 c. 76: 15 17 14 14 16 SP SD: 2.8529 c. M:-4.1842 c. 81: 16 18 15 15 17 SP SD: 2.8810 c. M: 3.8395 c. 85: 17 19 15 16 18 SP SD: 2.4278 c. M: 4.8706 c. 90: 18 20 16 17 19 SP SD: 2.1233 c. M: 4.0778 c. 95: 19 21 17 18 20 SP SD: 2.0817 c. M: 3.3684 c. 106: 21 24 19 20 22 SP SD: 1.5734 c. M:-2.3774 c. 111: 22 25 20 21 23 SP SD: 1.2677 c. M:-2.1712 c. 116: 23 26 21 22 24 SP SD: 1.2329 c. M:-1.9828 c. 121: 24 27 22 23 25 SP SD: 1.4259 c. M:-1.8099 c. 125: 25 28 22 24 26 SP SD: 1.1844 c. M: 2.2000 c. 130: 26 29 23 25 27 SP SD: 1.0239 c. M: 2.2000 c. 196: 39 44 35 37 41 SP SD: 0.8895 c. M: 1.7398 c. 201: 40 45 36 38 42 SP SD: 0.7149 c. M: 1.4627 c. 206: 41 46 37 39 43 SP SD: 0.6789 c. M: 1.1990 c. 236: 47 53 42 45 49 SP SD: 0.4883 c. M:-0.9831 c. 241: 48 54 43 46 50 SP SD: 0.3049 c. M: 0.4066 c. 442: 88 99 79 84 92 SP SD: 0.3209 c. M: 0.4977 c. 447: 89 100 80 85 93 SP SD: 0.2783 c. M: 0.4855 c. 452: 90 101 81 86 94 SP SD: 0.3090 c. M: 0.4735 c. 487: 97 109 87 93 101 SP SD: 0.2818 c. M:-0.4333 c. 577: 115 129 103 110 120 SP SD: 0.2836 c. M: 0.5182 c. 582: 116 130 104 111 121 SP SD: 0.3022 c. M: 0.5326 c. 631: 126 141 113 120 131 SP SD: 0.2788 c. M:-0.4913 c. 636: 127 142 114 121 132 SP SD: 0.2573 c. M:-0.4701 c. 683: 136 153 122 130 142 SP SD: 0.2552 c. M: 0.4656 c. 688: 137 154 123 131 143 SP SD: 0.2166 c. M: 0.4578 c. 693: 138 155 124 132 144 SP SD: 0.2173 c. M: 0.4502 c. 721: 144 161 129 137 150 SP SD: 0.2181 c. M: 0.3578 c. 726: 145 162 130 138 151 SP SD: 0.1890 c. M: 0.2906 c. 731: 146 163 131 139 152 SP SD: 0.2011 c. M:-0.2681 c. 761: 152 170 136 145 158 SP SD: 0.1835 c. M:-0.2812 c. 766: 153 171 137 146 159 SP SD: 0.1624 c. M:-0.2833 c. 962: 192 215 172 183 200 SP SD: 0.1300 c. M:-0.1923 c. 967: 193 216 173 184 201 SP SD: 0.0813 c. M: 0.1334 c. 972: 194 217 174 185 202 SP SD: 0.0756 c. M:-0.1008 c. 1208: 241 270 216 230 251 SP SD: 0.0545 c. M:-0.1151 c. 1213: 242 271 217 231 252 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 13.0000 cents 2 x x 3 x 4 S SD: 15.4558 cents 3 x 4 x 5:6 S SD: 26.3872 cents 4 x 5:6:7:8 S SD: 32.6594 cents 5:6:7:8:9:10 H SD: 28.7267 cents 6:7:8:9:10:12 S SD: 17.5176 cents 8:9:11:12:14:16 SD: 12.5473 cents 11:13:15:17:19:22 SD: 12.2463 cents 12:14:16:18:21:24 S SD: 8.6232 cents 15:17:20:23:26:30 SD: 6.9568 cents 20:23:27:30:35:40 SD: 6.5106 cents 21:24:28:32:37:42 SD: 5.9772 cents 26:30:35:40:45:52 SD: 4.8230 cents 27:31:36:41:47:54 SD: 4.2369 cents 32:37:43:49:56:64 SD: 3.8900 cents 34:39:46:52:59:69 SD: 3.7641 cents 38:44:51:58:66:77 SD: 3.3275 cents 40:46:54:61:70:81 SD: 2.6597 cents 46:53:62:70:80:93 SD: 1.7418 cents 61:70:82:93:106:123 SD: 1.1863 cents 67:77:90:102:117:135 SD: 1.0680 cents 93:107:125:142:162:187 SD: 0.9563 cents 113:130:152:172:197:228 SD: 0.7587 cents 128:147:172:195:223:258 SD: 0.6198 cents 139:160:187:212:242:280 SD: 0.4450 cents 194:223:261:296:338:391 SD: 0.3606 cents 206:237:277:314:359:415 SD: 0.2192 cents 267:307:359:407:465:538 SD: 0.1554 cents 400:460:538:610:697:806 SD: 0.1415 cents 473:544:636:721:824:953 SD: 0.1014 cents