Scala analysis: Indonesia_Nagawilaga
Nagawilaga (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: 79.000 cents 79.000000 2: 255.000 cents 255.000000 3: 544.000 cents 544.000000 4: 630.000 cents 630.000000 5: 755.000 cents 755.000000 6: 924.000 cents 924.000000 7: 1216.000 cents 1216.000000
SHOW/INTERVAL
0: 292.0000 cents 292.0000 1: 79.0000 cents 79.0000 2: 176.0000 cents 176.0000 3: 289.0000 cents 289.0000 4: 86.0000 cents 86.0000 5: 125.0000 cents 125.0000 6: 169.0000 cents 169.0000 7: 292.0000 cents 292.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 79.00000 cents 1: 1 86.00000 cents 1: 1 125.00000 cents 1: 1 169.00000 cents 1: 1 176.00000 cents 1: 1 289.00000 cents 1: 1 292.00000 cents 2: 1 211.00000 cents 2: 1 255.00000 cents 2: 1 294.00000 cents 2: 1 371.00000 cents 2: 1 375.00000 cents 2: 1 461.00000 cents 2: 1 465.00000 cents 3: 1 380.00000 cents 3: 1 500.00000 cents 3: 1 540.00000 cents 3: 1 544.00000 cents 3: 1 547.00000 cents 3: 1 551.00000 cents 3: 1 586.00000 cents 4: 1 630.00000 cents 4: 1 665.00000 cents 4: 1 669.00000 cents 4: 1 672.00000 cents 4: 1 676.00000 cents 4: 1 716.00000 cents 4: 1 836.00000 cents 5: 1 751.00000 cents 5: 1 755.00000 cents 5: 1 841.00000 cents 5: 1 845.00000 cents 5: 1 922.00000 cents 5: 1 961.00000 cents 5: 1 1005.00000 cents 6: 1 924.00000 cents 6: 1 927.00000 cents 6: 1 1040.00000 cents 6: 1 1047.00000 cents 6: 1 1091.00000 cents 6: 1 1130.00000 cents 6: 1 1137.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 79.0 255.0 544.0 630.0 755.0 924.0 1216.0 79.0 : 176.0 465.0 551.0 676.0 845.0 1137.0 1216.0 255.0 : 289.0 375.0 500.0 669.0 961.0 1040.0 1216.0 544.0 : 86.0 211.0 380.0 672.0 751.0 927.0 1216.0 630.0 : 125.0 294.0 586.0 665.0 841.0 1130.0 1216.0 755.0 : 169.0 461.0 540.0 716.0 1005.0 1091.0 1216.0 924.0 : 292.0 371.0 547.0 836.0 922.0 1047.0 1216.0 1216.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 79.0000 .. 292.0000 cents 213.00000 cents 79.00000 cents 2: 211.0000 .. 465.0000 cents 254.00000 cents -81.00000 cents 3: 380.0000 .. 586.0000 cents 206.00000 cents -85.00000 cents 4: 630.0000 .. 836.0000 cents 206.00000 cents 44.00000 cents 5: 751.0000 .. 1005.0000 cents 254.00000 cents -85.00000 cents 6: 924.0000 .. 1137.0000 cents 213.00000 cents -81.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 79.00000 cents, class 1 Average step (divided formal octave): 173.7143 cents Largest one step interval : 292.00000 cents Average / Smallest step : 2.198915 Largest / Average step : 1.680921 Largest / Smallest step : 3.696203 Median interval of one step : 169.00000 cents, amount: 1 Least squares average step : 161.22857 cents, oct.: 1128.60000 cents Scale is not proper Scale is a mode of a 1216-tone equal temperament with octave 1216.000 cents degrees: 79 255 544 630 755 924 1216 Least number of segments generator : 609 of 609.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 629 of 629.000 cents and inv. generated superset size: 241 = 234 more = 3442.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : AEFBCDG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.00000 cents Scale diversity : 1.595588 Lumma stability : 0.166118 Lumma impropriety factor : 0.273026 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 1, average 716.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 1, average 500.0000 cents Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 0 1 2 0 1 1 2 N T3 SD: 67.5174 c. M: 108.8571 c. 8: 1 1 2 0 1 1 2 N T3 SD: 42.2222 c. M:-73.0000 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 35.9388 c. M:-56.1111 c. Pseudo Pelog, Pelogic-7, Antiionian 11: 1 1 3 1 1 1 3 N M DE S SD: 27.3949 c. M: 39.6364 c. 13: 1 2 3 1 1 2 3 N SD: 16.7004 c. M:-25.6154 c. 16: 1 2 4 1 2 2 4 N SD: 14.8083 c. M: 27.0000 c. 18: 1 3 4 1 2 3 4 N SD: 14.5158 c. M: 22.0000 c. 20: 1 3 5 1 2 3 5 N SD: 15.8289 c. M: 25.4000 c. 21: 1 3 5 2 2 3 5 N SD: 14.9933 c. M: 23.3810 c. 24: 2 3 6 1 3 3 6 N SD: 13.7961 c. M:-22.3333 c. 25: 2 3 6 2 3 3 6 N SD: 12.5310 c. M:-23.2400 c. 27: 2 4 6 2 3 4 6 N SD: 11.6773 c. M:-21.7778 c. 29: 2 4 7 2 3 4 7 N SD: 2.3887 c. M:-4.8621 c. 92: 6 13 22 7 9 13 22 N SD: 2.4831 c. M:-4.4348 c. 95: 6 14 22 7 10 13 23 N SD: 2.9384 c. M: 6.4000 c. 96: 6 14 23 7 10 13 23 N SD: 2.6397 c. M:-5.0000 c. 105: 7 15 25 7 11 15 25 N SD: 2.2983 c. M: 4.6286 c. 108: 7 16 25 8 11 15 26 N SD: 2.0562 c. M:-3.9630 c. 118: 8 17 28 8 12 17 28 N SD: 2.5293 c. M:-3.4576 c. 121: 8 17 29 9 12 17 29 N SD: 2.0548 c. M: 3.7603 c. 124: 8 18 29 9 13 17 30 N SD: 2.1514 c. M: 4.6452 c. 125: 8 18 30 9 13 17 30 N SD: 1.9270 c. M:-3.7840 c. 129: 8 19 31 9 13 18 31 N SD: 1.8462 c. M: 3.5891 c. 137: 9 20 32 10 14 19 33 N SD: 1.4295 c. M: 2.5693 c. 158: 10 23 38 11 16 22 38 N SD: 1.3680 c. M:-2.4304 c. 166: 11 24 39 12 17 23 40 N SD: 1.1586 c. M: 1.9277 c. 172: 11 25 41 12 18 24 41 N SD: 1.1493 c. M:-2.1395 c. 195: 13 28 46 14 20 27 47 N SD: 1.0905 c. M:-2.0667 c. 201: 13 29 48 14 21 28 48 N SD: 0.9218 c. M:-1.6119 c. 230: 15 33 55 16 24 32 55 N SD: 0.8606 c. M: 1.2261 c. 243: 16 35 58 17 25 34 58 N SD: 1.0025 c. M:-1.7613 c. 253: 16 37 60 18 26 35 61 N SD: 0.9978 c. M: 2.0988 c. 259: 17 37 62 18 27 36 62 N SD: 0.8941 c. M: 1.4710 c. 262: 17 38 62 19 27 36 63 N SD: 0.8414 c. M:-1.5191 c. 266: 17 39 63 19 27 37 64 N SD: 0.7769 c. M: 1.2857 c. 282: 18 41 67 20 29 39 68 N SD: 0.8068 c. M: 1.3830 c. 291: 19 42 69 21 30 40 70 N SD: 0.7357 c. M:-1.3436 c. 295: 19 43 70 21 30 41 71 N SD: 0.5522 c. M: 0.6814 c. 324: 21 47 77 23 33 45 78 N SD: 0.4361 c. M: 0.7407 c. 353: 23 51 84 25 36 49 85 N SD: 0.4296 c. M: 0.8045 c. 367: 24 53 87 26 38 51 88 N SD: 0.4230 c. M: 0.6104 c. 467: 30 68 111 33 48 65 112 N SD: 0.3823 c. M: 0.8844 c. 496: 32 72 118 35 51 69 119 N SD: 0.2531 c. M: 0.5484 c. 525: 34 76 125 37 54 73 126 N SD: 0.1832 c. M:-0.3048 c. 662: 43 96 157 47 68 92 159 N SD: 0.1677 c. M:-0.3233 c. 691: 45 100 164 49 71 96 166 N SD: 0.1392 c. M: 0.2315 c. 921: 60 133 219 65 95 128 221 N SD: 0.1769 c. M:-0.2182 c. 1158: 75 168 275 82 119 161 278 N SD: 0.1196 c. M: 0.2435 c. 1187: 77 172 282 84 122 165 285 N SD: 0.0584 c. M: 0.1188 c. 1216: 79 176 289 86 125 169 292 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 16.0000 cents 2 x x x x 3 x 4 S SD: 27.7028 cents 3 x x 4 x x 5:6 S SD: 20.9213 cents 4 x 5 x x 6:7:8 S SD: 37.3517 cents 5 x 6:7 x 8:9:10 S SD: 26.5487 cents 6 x 7:8 x 9:10:12 S SD: 16.6060 cents 7 x 8 x 10:11:12:14 S SD: 8.5308 cents 8 x 9:11 x 12:14:16 SD: 17.5987 cents 9 x 10:12:13:14:15:18 S SD: 16.1173 cents 10:11:12:14 x 15:17:20 SD: 20.8538 cents 11:12:13:15:16:17:19:22 SD: 12.3316 cents 13:14:15:18:19:20:22:26 SD: 9.1499 cents 14:15:16:19:20:22:24:28 SD: 8.6773 cents 16:17:19:22:23:25:27:32 SD: 8.3705 cents 17:18:20:23:24:26:29:34 SD: 8.1360 cents 18:19:21:25:26:28:31:36 SD: 5.8143 cents 20:21:23:27:29:31:34:40 SD: 5.0953 cents 24:25:28:33:35:37:41:48 SD: 4.7348 cents 25:26:29:34:36:39:43:50 SD: 4.4338 cents 27:28:31:37:39:42:46:55 SD: 4.2934 cents 36:38:42:49:52:56:61:73 SD: 4.0029 cents 37:39:43:51:53:57:63:75 SD: 3.1162 cents 38:40:44:52:55:59:65:77 SD: 2.5457 cents 43:45:50:59:62:67:73:87 SD: 2.4849 cents 44:46:51:60:63:68:75:89 SD: 1.7081 cents 57:60:66:78:82:88:97:115 SD: 1.5784 cents 62:65:72:85:89:96:106:125 SD: 1.2221 cents 68:71:79:93:98:105:116:137 SD: 1.1938 cents 82:86:95:112:118:127:140:166 SD: 1.1490 cents 89:93:103:122:128:138:152:180 SD: 1.0546 cents 105:110:122:144:151:162:179:212 SD: 1.0396 cents 106:111:123:145:153:164:181:214 SD: 0.9476 cents 108:113:125:148:155:167:184:218 SD: 0.7748 cents 125:131:145:171:180:193:213:252 SD: 0.7549 cents 132:138:153:181:190:204:225:266 SD: 0.6746 cents 146:153:169:200:210:226:249:295 SD: 0.5240 cents 152:159:176:208:219:235:259:307 SD: 0.4902 cents 176:184:204:241:253:272:300:355 SD: 0.4873 cents 214:224:248:293:308:331:365:432 SD: 0.0860 cents