Scala analysis: Indonesia_Swaraharja
Swaraharja (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: 482.000 cents 482.000000 3: 696.000 cents 696.000000 4: 936.000 cents 936.000000 5: 1197.000 cents 1197.000000
SHOW/INTERVAL
0: 261.0000 cents 261.0000 1: 227.0000 cents 227.0000 2: 255.0000 cents 255.0000 3: 214.0000 cents 214.0000 4: 240.0000 cents 240.0000 5: 261.0000 cents 261.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 214.00000 cents 1: 1 227.00000 cents 1: 1 240.00000 cents 1: 1 255.00000 cents 1: 1 261.00000 cents 2: 1 454.00000 cents 2: 1 469.00000 cents 2: 1 482.00000 cents 2: 1 488.00000 cents 2: 1 501.00000 cents 3: 1 696.00000 cents 3: 1 709.00000 cents 3: 1 715.00000 cents 3: 1 728.00000 cents 3: 1 743.00000 cents 4: 1 936.00000 cents 4: 1 942.00000 cents 4: 1 957.00000 cents 4: 1 970.00000 cents 4: 1 983.00000 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 : 227.0 482.0 696.0 936.0 1197.0 227.0 : 255.0 469.0 709.0 970.0 1197.0 482.0 : 214.0 454.0 715.0 942.0 1197.0 696.0 : 240.0 501.0 728.0 983.0 1197.0 936.0 : 261.0 488.0 743.0 957.0 1197.0 1197.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 214.0000 .. 261.0000 cents 47.00000 cents 214.00000 cents 2: 454.0000 .. 501.0000 cents 47.00000 cents 193.00000 cents 3: 696.0000 .. 743.0000 cents 47.00000 cents 195.00000 cents 4: 936.0000 .. 983.0000 cents 47.00000 cents 193.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 214.00000 cents, class 1 Average step (divided formal octave): 239.4000 cents Largest one step interval : 261.00000 cents Average / Smallest step : 1.118692 Largest / Average step : 1.090226 Largest / Smallest step : 1.219626 Median interval of one step : 240.00000 cents, amount: 1 Least squares average step : 236.50909 cents, oct.: 1182.54545 cents Scale is strictly proper Scale is a mode of a 1197-tone equal temperament with octave 1197.000 cents degrees: 227 482 696 936 1197 Least number of segments generator : 599 of 599.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 718 of 718.000 cents and inv. generated superset size: 128 = 123 more = 2560.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BDACE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 193.00000 cents Scale diversity : 1.207388 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.842941 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 : 6.00000 cents Number of recognisable fifths : 3, average 706.6667 cents Number of appreciable fifths : 2, average 702.5000 cents Number of recognisable fourths : 3, average 490.3333 cents Number of appreciable fourths : 2, average 494.5000 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 47.0000 cents: 1 2 Limited inverse transpositions with margin 47.0000 cents: 1 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 14.9893 c. M:-22.2000 c. 17: 3 4 3 3 4 SP M ME S SD: 13.1084 c. M: 20.6471 c. 22: 4 5 4 4 5 SP M ME S SD: 8.9083 c. M:-11.3182 c. Raga Durga 27: 5 6 5 5 6 SP M ME S SD: 7.2572 c. M:-13.3333 c. 32: 6 7 6 6 7 SP M ME S SD: 6.9606 c. M:-14.7188 c. 33: 6 7 6 7 7 SP M ME S SD: 7.6648 c. M: 10.4545 c. 37: 7 8 7 7 8 SP M ME S SD: 7.2554 c. M:-15.7297 c. 38: 7 8 7 8 8 SP M ME S SD: 6.6708 c. M: 9.5000 c. 41: 8 9 7 8 9 SP T3 SD: 7.3897 c. M:-14.3171 c. 42: 8 9 7 9 9 SP T3 SD: 5.8566 c. M: 12.0000 c. 47: 9 10 8 10 10 SP T3 SD: 4.8648 c. M: 8.3617 c. 50: 9 11 9 10 11 SP T3 SD: 5.5121 c. M: 11.5400 c. 52: 10 11 9 11 11 SP T3 SD: 4.5218 c. M:-7.7885 c. 55: 10 12 10 11 12 SP T3 SD: 4.4302 c. M: 9.3636 c. 58: 11 12 11 11 13 SP T3 SD: 5.2774 c. M: 7.3276 c. 59: 11 13 10 12 13 SP SD: 4.1196 c. M: 6.2034 c. 60: 11 13 11 12 13 SP T3 SD: 3.8737 c. M: 7.5500 c. 64: 12 14 11 13 14 SP SD: 2.8804 c. M:-4.2813 c. 69: 13 15 12 14 15 SP SD: 2.0559 c. M:-3.7391 c. 74: 14 16 13 15 16 SP SD: 1.7876 c. M:-3.2703 c. 79: 15 17 14 16 17 SP SD: 2.0453 c. M:-3.4177 c. 100: 19 21 18 20 22 SP SD: 1.9457 c. M: 3.2000 c. 105: 20 22 19 21 23 SP SD: 1.6149 c. M: 3.2000 c. 110: 21 23 20 22 24 SP SD: 1.5976 c. M: 3.2000 c. 127: 24 27 23 25 28 SP SD: 1.6093 c. M: 2.9055 c. 132: 25 28 24 26 29 SP SD: 1.4820 c. M:-2.2500 c. 141: 27 30 25 28 31 SP SD: 1.6253 c. M:-2.2128 c. 146: 28 31 26 29 32 SP SD: 1.5580 c. M:-2.5616 c. 151: 29 32 27 30 33 SP SD: 1.6517 c. M:-2.8874 c. 157: 30 33 28 32 34 SP SD: 1.6597 c. M: 2.1975 c. 164: 31 35 29 33 36 SP SD: 1.4526 c. M: 2.6159 c. 169: 32 36 30 34 37 SP SD: 0.9931 c. M: 1.8817 c. 174: 33 37 31 35 38 SP SD: 0.5980 c. M: 1.1897 c. 179: 34 38 32 36 39 SP SD: 0.3836 c. M: 0.5363 c. 375: 71 80 67 75 82 SP SD: 0.3768 c. M: 0.7440 c. 380: 72 81 68 76 83 SP SD: 0.2313 c. M: 0.4500 c. 385: 73 82 69 77 84 SP SD: 0.2130 c. M:-0.4364 c. 554: 105 118 99 111 121 SP SD: 0.2505 c. M: 0.4386 c. 559: 106 119 100 112 122 SP SD: 0.1445 c. M: 0.2415 c. 564: 107 120 101 113 123 SP SD: 0.1258 c. M: 0.2287 c. 633: 120 135 113 127 138 SP SD: 0.1121 c. M:-0.2038 c. 638: 121 136 114 128 139 SP SD: 0.1266 c. M:-0.2116 c. 812: 154 173 145 163 177 SP SD: 0.1010 c. M: 0.2069 c. 1013: 192 216 181 203 221 SP SD: 0.0979 c. M: 0.1422 c. 1018: 193 217 182 204 222 SP SD: 0.0674 c. M:-0.0943 c. 1192: 226 254 213 239 260 SP SD: 0.0629 c. M: 0.0931 c. 1197: 227 255 214 240 261 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 3.0000 cents 2 x x 3 x 4 S SD: 3.3340 cents 3 x 4 x 5:6 S SD: 18.0532 cents 4 x 5:6:7:8 S SD: 25.3450 cents 5:6:7 x 9:10 SD: 39.2324 cents 6:7:8:9:10:12 S SD: 13.5032 cents 12:14:16:18:21:24 S SD: 10.8980 cents 13:15:17:19:22:26 SD: 10.7808 cents 14:16:19:21:24:28 SD: 9.4864 cents 15:17:20:22:26:30 SD: 8.3016 cents 16:18:21:24:27:32 SD: 8.0289 cents 20:23:26:30:34:40 SD: 7.3257 cents 21:24:28:31:36:42 SD: 5.5316 cents 22:25:29:33:38:44 SD: 2.7912 cents 28:32:37:42:48:56 SD: 1.6780 cents 50:57:66:75:86:100 SD: 1.4789 cents 71:81:94:106:122:142 SD: 1.1135 cents 93:106:123:139:160:186 SD: 0.9891 cents 99:113:131:148:170:198 SD: 0.9221 cents 121:138:160:181:208:242 SD: 0.8279 cents 149:170:197:223:256:297 SD: 0.8245 cents 156:178:206:233:268:311 SD: 0.6861 cents 178:203:235:266:306:355 SD: 0.6042 cents 184:210:243:275:316:367 SD: 0.5164 cents 206:235:272:308:354:411 SD: 0.4511 cents 230:262:304:344:395:459 SD: 0.4275 cents 236:269:312:353:405:471 SD: 0.4261 cents 237:270:313:354:407:473 SD: 0.4132 cents 243:277:321:363:417:485 SD: 0.3462 cents 265:302:350:396:455:529 SD: 0.2111 cents 293:334:387:438:503:585 SD: 0.1131 cents