Scala analysis: Indonesia_Saron_Barung_12
12 (Saron Barung), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 228.000 cents 228.000000 2: 485.000 cents 485.000000 3: 717.000 cents 717.000000 4: 967.000 cents 967.000000 5: 1228.000 cents 1228.000000
SHOW/INTERVAL
0: 261.0000 cents 261.0000 1: 228.0000 cents 228.0000 2: 257.0000 cents 257.0000 3: 232.0000 cents 232.0000 4: 250.0000 cents 250.0000 5: 261.0000 cents 261.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 228.00000 cents 1: 1 232.00000 cents 1: 1 250.00000 cents 1: 1 257.00000 cents 1: 1 261.00000 cents 2: 1 482.00000 cents 2: 1 485.00000 cents 2: 2 489.00000 cents 2: 1 511.00000 cents 3: 1 717.00000 cents 3: 2 739.00000 cents 3: 1 743.00000 cents 3: 1 746.00000 cents 4: 1 967.00000 cents 4: 1 971.00000 cents 4: 1 978.00000 cents 4: 1 996.00000 cents 4: 1 1000.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.50000 = 9/2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 228.0 485.0 717.0 967.0 1228.0 228.0 : 257.0 489.0 739.0 1000.0 1228.0 485.0 : 232.0 482.0 743.0 971.0 1228.0 717.0 : 250.0 511.0 739.0 996.0 1228.0 967.0 : 261.0 489.0 746.0 978.0 1228.0 1228.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 228.0000 .. 261.0000 cents 33.00000 cents 228.00000 cents 2: 482.0000 .. 511.0000 cents 29.00000 cents 221.00000 cents 3: 717.0000 .. 746.0000 cents 29.00000 cents 206.00000 cents 4: 967.0000 .. 1000.0000 cents 33.00000 cents 221.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 228.00000 cents, class 1 Average step (divided formal octave): 245.6000 cents Largest one step interval : 261.00000 cents Average / Smallest step : 1.077193 Largest / Average step : 1.062704 Largest / Smallest step : 1.144737 Median interval of one step : 250.00000 cents, amount: 1 Least squares average step : 242.85455 cents, oct.: 1214.27273 cents Scale is strictly proper Scale is a mode of a 1228-tone equal temperament with octave 1228.000 cents degrees: 228 485 717 967 1228 Least number of segments generator : 615 of 615.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 737 of 737.000 cents and inv. generated superset size: 100 = 95 more = 2000.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : ADBCE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 206.00000 cents Scale diversity : 1.092688 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.899023 Rothenberg efficiency : 0.440000 redundancy: 0.560000 Efficiency x scale size : 2.200000 Number of different interval sizes : 18 = 4.50000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 4.50000 = 9/2 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 3.00000 cents Most common intervals : 489.00000 cents & inv., amount: 2 Most common triad is 0.0 489.000 739.000 cents, amount: 1 Number of recognisable fifths : 1, average 717.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 5, average 491.2000 cents Number of appreciable fourths : 3, average 496.3333 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 33.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 29.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 13.9814 c. M:-19.8000 c. 22: 4 5 4 4 5 SP M ME S SD: 12.0475 c. M: 18.0909 c. Raga Durga 27: 5 6 5 5 6 SP M ME S SD: 9.9019 c. M:-15.2963 c. 28: 5 6 5 6 6 SP M ME S SD: 8.0099 c. M: 15.2857 c. 32: 6 7 6 6 7 SP M ME S SD: 8.9748 c. M:-13.8750 c. 33: 6 7 6 7 7 SP M ME S SD: 4.9709 c. M: 9.9697 c. 38: 7 8 7 8 8 SP M ME S SD: 3.0340 c. M: 6.0526 c. 43: 8 9 8 9 9 SP M ME S SD: 2.2606 c. M:-3.9767 c. 48: 9 10 9 10 10 SP M ME S SD: 2.5836 c. M:-5.1667 c. 81: 15 17 15 17 17 SP M DE S SD: 2.4874 c. M: 4.4568 c. 91: 17 19 17 19 19 SP M DE S SD: 2.3251 c. M:-4.6044 c. 93: 17 20 17 19 20 SP T3 SD: 3.1740 c. M: 3.9677 c. 94: 17 20 18 19 20 SP SD: 2.8294 c. M: 5.9149 c. 98: 18 21 18 20 21 SP T3 SD: 2.5229 c. M:-3.6939 c. 99: 18 21 19 20 21 SP SD: 2.4528 c. M: 4.7273 c. 103: 19 22 19 21 22 SP T3 SD: 2.0572 c. M:-3.8155 c. 104: 19 22 20 21 22 SP SD: 2.2950 c. M: 3.6538 c. 108: 20 23 20 22 23 SP T3 SD: 1.8153 c. M:-3.9259 c. 113: 21 24 21 23 24 SP T3 SD: 1.8083 c. M:-4.0265 c. 117: 22 24 22 24 25 SP T3 SD: 2.2820 c. M: 3.2906 c. 118: 22 25 22 24 25 SP T3 SD: 1.9846 c. M:-4.1186 c. 123: 23 26 23 25 26 SP T3 SD: 2.2664 c. M:-4.2033 c. 127: 24 26 24 26 27 SP T3 SD: 2.0513 c. M:-4.0630 c. 135: 25 28 26 27 29 SP SD: 1.9556 c. M: 2.8963 c. 137: 25 29 26 28 29 SP SD: 1.8642 c. M: 3.9124 c. 140: 26 29 27 28 30 SP SD: 1.8057 c. M: 2.5714 c. 142: 26 30 27 29 30 SP SD: 1.6440 c. M: 3.1549 c. 146: 27 31 27 30 31 SP T3 SD: 1.6251 c. M:-2.8356 c. 147: 27 31 28 30 31 SP SD: 1.5741 c. M: 2.4490 c. 151: 28 32 28 31 32 SP T3 SD: 1.4938 c. M:-2.9470 c. 156: 29 33 29 32 33 SP T3 SD: 1.5066 c. M:-3.0513 c. 168: 31 35 32 34 36 SP SD: 1.6506 c. M: 2.5714 c. 173: 32 36 33 35 37 SP SD: 1.3256 c. M: 2.3179 c. 178: 33 37 34 36 38 SP SD: 1.0961 c. M: 2.0787 c. 183: 34 38 35 37 39 SP SD: 0.9974 c. M: 1.8525 c. 187: 35 39 35 38 40 SP SD: 1.3081 c. M:-1.8396 c. 188: 35 39 36 38 40 SP SD: 1.0415 c. M: 1.6383 c. 211: 39 44 40 43 45 SP SD: 1.1807 c. M: 1.9479 c. 216: 40 45 41 44 46 SP SD: 0.9121 c. M: 1.7593 c. 221: 41 46 42 45 47 SP SD: 0.7202 c. M: 1.5792 c. 226: 42 47 43 46 48 SP SD: 0.6506 c. M: 1.4071 c. 231: 43 48 44 47 49 SP SD: 0.7203 c. M: 1.2424 c. 236: 44 49 45 48 50 SP SD: 0.8840 c. M: 1.0847 c. 243: 45 51 46 49 52 SP SD: 0.8833 c. M: 1.7819 c. 248: 46 52 47 50 53 SP SD: 0.7932 c. M: 1.4355 c. 264: 49 55 50 54 56 SP SD: 0.6722 c. M: 1.2424 c. 269: 50 56 51 55 57 SP SD: 0.6312 c. M: 1.1041 c. 274: 51 57 52 56 58 SP SD: 0.6918 c. M:-1.0584 c. 281: 52 59 53 57 60 SP SD: 0.6516 c. M: 1.2064 c. 286: 53 60 54 58 61 SP SD: 0.4616 c. M: 0.9161 c. 291: 54 61 55 59 62 SP SD: 0.3621 c. M: 0.6357 c. 329: 61 69 62 67 70 SP SD: 0.2664 c. M: 0.3556 c. 334: 62 70 63 68 71 SP SD: 0.1467 c. M:-0.3174 c. 663: 123 139 125 135 141 SP SD: 0.1865 c. M:-0.2730 c. 673: 125 141 127 137 143 SP SD: 0.1740 c. M:-0.3611 c. 846: 157 177 160 172 180 SP SD: 0.1592 c. M: 0.2766 c. 851: 158 178 161 173 181 SP SD: 0.1319 c. M: 0.1845 c. 889: 165 186 168 181 189 SP SD: 0.0934 c. M: 0.1541 c. 894: 166 187 169 182 190 SP SD: 0.0548 c. M: 0.1186 c. 1223: 227 256 231 249 260 SP SD: 0.0572 c. M: 0.0809 c. 1228: 228 257 232 250 261 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 28.0000 cents 2 x x 3 x 4 S SD: 15.8930 cents 3 x 4 x 5:6 S SD: 29.4085 cents 4 x 5:6:7:8 S SD: 25.9238 cents 6:7:8:9:11:12 SD: 19.4681 cents 7:8:9:11:12:14 SD: 18.6785 cents 8:9:11:12:14:16 SD: 15.4817 cents 12:14:16:18:21:24 S SD: 10.3823 cents 15:17:20:23:26:30 SD: 8.5527 cents 16:18:21:24:28:33 SD: 8.1263 cents 19:22:25:29:33:39 SD: 7.4963 cents 21:24:28:32:37:43 SD: 5.1990 cents 27:31:36:41:47:55 SD: 4.0085 cents 28:32:37:42:49:57 SD: 3.1806 cents 35:40:46:53:61:71 SD: 2.7727 cents 37:42:49:56:65:75 SD: 2.6088 cents 43:49:57:65:75:87 SD: 1.9417 cents 56:64:74:85:98:114 SD: 1.4990 cents 64:73:85:97:112:130 SD: 1.4478 cents 80:91:106:121:140:163 SD: 1.4213 cents 84:96:111:127:147:171 SD: 1.0658 cents 92:105:122:139:161:187 SD: 0.9699 cents 99:113:131:150:173:201 SD: 0.6588 cents 127:145:168:192:222:258 SD: 0.4748 cents 179:204:237:271:313:364 SD: 0.4654 cents 191:218:253:289:334:388 SD: 0.4453 cents 207:236:274:313:362:421 SD: 0.4017 cents 214:244:283:324:374:435 SD: 0.3744 cents 242:276:320:366:423:492 SD: 0.3311 cents 269:307:356:407:470:547 SD: 0.2824 cents 306:349:405:463:535:622 SD: 0.1006 cents