Scala analysis: Indonesia_Saron_Barung_13
13 (Saron Barung), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 230.000 cents 230.000000 2: 481.000 cents 481.000000 3: 713.000 cents 713.000000 4: 958.000 cents 958.000000 5: 1224.000 cents 1224.000000
SHOW/INTERVAL
0: 266.0000 cents 266.0000 1: 230.0000 cents 230.0000 2: 251.0000 cents 251.0000 3: 232.0000 cents 232.0000 4: 245.0000 cents 245.0000 5: 266.0000 cents 266.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 230.00000 cents 1: 1 232.00000 cents 1: 1 245.00000 cents 1: 1 251.00000 cents 1: 1 266.00000 cents 2: 1 477.00000 cents 2: 1 481.00000 cents 2: 1 483.00000 cents 2: 1 496.00000 cents 2: 1 511.00000 cents 3: 1 713.00000 cents 3: 1 728.00000 cents 3: 1 741.00000 cents 3: 1 743.00000 cents 3: 1 747.00000 cents 4: 1 958.00000 cents 4: 1 973.00000 cents 4: 1 979.00000 cents 4: 1 992.00000 cents 4: 1 994.00000 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 : 230.0 481.0 713.0 958.0 1224.0 230.0 : 251.0 483.0 728.0 994.0 1224.0 481.0 : 232.0 477.0 743.0 973.0 1224.0 713.0 : 245.0 511.0 741.0 992.0 1224.0 958.0 : 266.0 496.0 747.0 979.0 1224.0 1224.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 230.0000 .. 266.0000 cents 36.00000 cents 230.00000 cents 2: 477.0000 .. 511.0000 cents 34.00000 cents 211.00000 cents 3: 713.0000 .. 747.0000 cents 34.00000 cents 202.00000 cents 4: 958.0000 .. 994.0000 cents 36.00000 cents 211.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 230.00000 cents, class 1 Average step (divided formal octave): 244.8000 cents Largest one step interval : 266.00000 cents Average / Smallest step : 1.064348 Largest / Average step : 1.086601 Largest / Smallest step : 1.156522 Median interval of one step : 245.00000 cents, amount: 1 Least squares average step : 241.50909 cents, oct.: 1207.54545 cents Scale is strictly proper Scale is a mode of a 1224-tone equal temperament with octave 1224.000 cents degrees: 230 481 713 958 1224 Least number of segments generator : 613 of 613.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 979 of 979.000 cents and inv. generated superset size: 108 = 103 more = 2160.000% 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 202.00000 cents Scale diversity : 1.114513 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.885621 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 : 1, average 713.0000 cents Number of recognisable fourths : 4, average 492.7500 cents Number of appreciable fourths : 2, average 503.5000 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 36.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 34.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 15.4945 c. M:-21.4000 c. 21: 4 4 4 4 5 SP M ME S SD: 14.5409 c. M: 25.4286 c. 22: 4 5 4 4 5 SP M ME S SD: 11.8208 c. M:-19.7273 c. Raga Durga 26: 5 5 5 5 6 SP M ME S SD: 9.5028 c. M: 16.4615 c. 28: 5 6 5 6 6 SP M ME S SD: 8.1069 c. M: 13.5714 c. 31: 6 6 6 6 7 SP M ME S SD: 6.5198 c. M: 10.3871 c. 33: 6 7 6 7 7 SP M ME S SD: 5.7602 c. M: 8.2727 c. 36: 7 7 7 7 8 SP M ME S SD: 5.0200 c. M:-8.0000 c. 38: 7 8 7 8 8 SP M ME S SD: 4.7619 c. M:-8.3158 c. 41: 8 8 8 8 9 SP M ME S SD: 4.6580 c. M:-8.8293 c. 43: 8 9 8 9 9 SP M ME S SD: 4.7295 c. M:-9.8140 c. 46: 9 9 9 9 10 SP M ME S SD: 4.9711 c. M:-9.4783 c. 48: 9 10 9 10 10 SP M ME S SD: 5.1865 c. M:-11.0000 c. 51: 10 10 10 10 11 SP M ME S SD: 5.5498 c. M:-10.0000 c. 54: 10 11 10 11 12 SP T3 SD: 5.9815 c. M: 10.3333 c. 55: 10 12 10 11 12 SP T3 SD: 5.1259 c. M:-8.6000 c. 58: 11 12 11 11 13 SP T3 SD: 4.7705 c. M: 8.3448 c. 59: 11 12 11 12 13 SP T3 SD: 4.2453 c. M: 7.6441 c. 63: 12 13 12 12 14 SP T3 SD: 4.5257 c. M: 6.0000 c. 64: 12 13 12 13 14 SP T3 SD: 2.8450 c. M: 5.3750 c. 69: 13 14 13 14 15 SP T3 SD: 1.8084 c. M: 3.4348 c. 74: 14 15 14 15 16 SP T3 SD: 1.3508 c. M: 1.7568 c. 155: 29 32 29 31 34 SP SD: 1.6080 c. M: 2.4903 c. 160: 30 33 30 32 35 SP SD: 1.1504 c. M: 1.7500 c. 165: 31 34 31 33 36 SP SD: 0.8050 c. M:-1.1818 c. 170: 32 35 32 34 37 SP SD: 0.6812 c. M:-1.4000 c. 239: 45 49 45 48 52 SP SD: 0.5930 c. M: 1.1339 c. 244: 46 50 46 49 53 SP SD: 0.5228 c. M:-0.7541 c. 326: 61 67 62 65 71 SP SD: 0.5623 c. M: 0.9693 c. 331: 62 68 63 66 72 SP SD: 0.4796 c. M: 0.7311 c. 395: 74 81 75 79 86 SP SD: 0.5083 c. M: 0.6962 c. 400: 75 82 76 80 87 SP SD: 0.3564 c. M: 0.5800 c. 405: 76 83 77 81 88 SP SD: 0.2743 c. M: 0.4667 c. 501: 94 103 95 100 109 SP SD: 0.2993 c. M:-0.3892 c. 565: 106 116 107 113 123 SP SD: 0.2904 c. M: 0.4637 c. 570: 107 117 108 114 124 SP SD: 0.1638 c. M: 0.2737 c. 575: 108 118 109 115 125 SP SD: 0.0869 c. M:-0.1130 c. 649: 122 133 123 130 141 SP SD: 0.0770 c. M: 0.1002 c. 1219: 229 250 231 244 265 SP SD: 0.0636 c. M: 0.0878 c. 1224: 230 251 232 245 266 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 24.0000 cents 2 x x 3 x 4 S SD: 13.2098 cents 3 x 4 x 5:6 S SD: 26.4356 cents 4 x 5:6:7:8 S SD: 24.7243 cents 6:7:8:9:10:12 S SD: 17.6307 cents 8:9:11:12:14:16 SD: 16.0505 cents 12:14:16:18:21:24 S SD: 9.9301 cents 15:17:20:23:26:30 SD: 8.4995 cents 16:18:21:24:28:32 S SD: 8.0008 cents 19:22:25:29:33:39 SD: 7.5087 cents 21:24:28:32:37:43 SD: 7.3326 cents 22:25:29:33:38:45 SD: 4.7605 cents 27:31:36:41:47:55 SD: 4.6546 cents 28:32:37:42:49:57 SD: 3.3882 cents 34:39:45:51:59:69 SD: 2.9176 cents 35:40:46:53:61:71 SD: 2.0626 cents 57:65:75:86:99:116 SD: 1.8415 cents 63:72:83:95:110:128 SD: 1.7531 cents 65:74:86:98:113:132 SD: 1.4810 cents 69:79:91:104:120:140 SD: 1.0991 cents 84:96:111:127:146:170 SD: 0.9792 cents 100:114:132:151:174:203 SD: 0.7560 cents 106:121:140:160:184:215 SD: 0.6851 cents 112:128:148:169:195:227 SD: 0.6032 cents 141:161:186:213:245:286 SD: 0.4938 cents 169:193:223:255:294:343 SD: 0.3991 cents 212:242:280:320:369:430 SD: 0.3718 cents 218:249:288:329:379:442 SD: 0.2743 cents 253:289:334:382:440:513 SD: 0.1048 cents 571:652:754:862:993:1158 SD: 0.0918 cents