Scala analysis: Indonesia_Guntursari
Guntursari (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: 124.000 cents 124.000000 2: 253.000 cents 253.000000 3: 569.000 cents 569.000000 4: 659.000 cents 659.000000 5: 760.000 cents 760.000000 6: 908.000 cents 908.000000 7: 1216.000 cents 1216.000000
SHOW/INTERVAL
0: 308.0000 cents 308.0000 1: 124.0000 cents 124.0000 2: 129.0000 cents 129.0000 3: 316.0000 cents 316.0000 4: 90.0000 cents 90.0000 5: 101.0000 cents 101.0000 6: 148.0000 cents 148.0000 7: 308.0000 cents 308.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 90.00000 cents 1: 1 101.00000 cents 1: 1 124.00000 cents 1: 1 129.00000 cents 1: 1 148.00000 cents 1: 1 308.00000 cents 1: 1 316.00000 cents 2: 1 191.00000 cents 2: 1 249.00000 cents 2: 1 253.00000 cents 2: 1 406.00000 cents 2: 1 432.00000 cents 2: 1 445.00000 cents 2: 1 456.00000 cents 3: 1 339.00000 cents 3: 1 507.00000 cents 3: 1 535.00000 cents 3: 1 557.00000 cents 3: 1 561.00000 cents 3: 1 569.00000 cents 3: 1 580.00000 cents 4: 1 636.00000 cents 4: 1 647.00000 cents 4: 1 655.00000 cents 4: 1 659.00000 cents 4: 1 681.00000 cents 4: 1 709.00000 cents 4: 1 877.00000 cents 5: 1 760.00000 cents 5: 1 771.00000 cents 5: 1 784.00000 cents 5: 1 810.00000 cents 5: 1 963.00000 cents 5: 1 967.00000 cents 5: 1 1025.00000 cents 6: 1 900.00000 cents 6: 1 908.00000 cents 6: 1 1068.00000 cents 6: 1 1087.00000 cents 6: 1 1092.00000 cents 6: 1 1115.00000 cents 6: 1 1126.00000 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 : 124.0 253.0 569.0 659.0 760.0 908.0 1216.0 124.0 : 129.0 445.0 535.0 636.0 784.0 1092.0 1216.0 253.0 : 316.0 406.0 507.0 655.0 963.0 1087.0 1216.0 569.0 : 90.0 191.0 339.0 647.0 771.0 900.0 1216.0 659.0 : 101.0 249.0 557.0 681.0 810.0 1126.0 1216.0 760.0 : 148.0 456.0 580.0 709.0 1025.0 1115.0 1216.0 908.0 : 308.0 432.0 561.0 877.0 967.0 1068.0 1216.0 1216.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 90.0000 .. 316.0000 cents 226.00000 cents 90.00000 cents 2: 191.0000 .. 456.0000 cents 265.00000 cents -125.00000 cents 3: 339.0000 .. 580.0000 cents 241.00000 cents -117.00000 cents 4: 636.0000 .. 877.0000 cents 241.00000 cents 56.00000 cents 5: 760.0000 .. 1025.0000 cents 265.00000 cents -117.00000 cents 6: 900.0000 .. 1126.0000 cents 226.00000 cents -125.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 90.00000 cents, class 1 Average step (divided formal octave): 173.7143 cents Largest one step interval : 316.00000 cents Average / Smallest step : 1.930159 Largest / Average step : 1.819079 Largest / Smallest step : 3.511111 Median interval of one step : 129.00000 cents, amount: 1 Least squares average step : 162.37857 cents, oct.: 1136.65000 cents Scale is not proper Scale is a mode of a 1216-tone equal temperament with octave 1216.000 cents degrees: 124 253 569 659 760 908 1216 Least number of segments generator : 609 of 609.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1173 of 1173.000 cents and inv. generated superset size: 399 = 392 more = 5700.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : CDGABEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 23.00000 cents Scale diversity : 1.635516 Lumma stability : 0.194079 Lumma impropriety factor : 0.398026 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 : 4.00000 cents Number of recognisable fifths : 1, average 709.0000 cents Number of recognisable fourths : 1, average 507.0000 cents Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 0 1 2 1 0 1 2 N T3 SD: 66.5866 c. M: 124.0000 c. 8: 1 1 2 0 1 1 2 N T3 SD: 32.7828 c. M:-51.0000 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 28.0404 c. M:-50.6667 c. Pseudo Pelog, Pelogic-7, Antiionian 11: 1 1 3 1 1 1 3 N M DE S SD: 17.8561 c. M: 31.9091 c. 13: 1 2 3 1 1 2 3 N SD: 19.4767 c. M: 30.4615 c. 15: 1 2 4 1 1 2 4 N SD: 21.5140 c. M: 42.9333 c. 17: 2 2 4 1 2 2 4 N SD: 20.3573 c. M:-33.1176 c. 18: 2 2 4 2 1 2 5 N SD: 19.5723 c. M: 29.7778 c. 19: 2 2 5 1 2 2 5 N SD: 9.5842 c. M: 19.0000 c. 24: 2 3 6 2 2 3 6 N SD: 9.7549 c. M: 22.6667 c. 27: 3 3 7 2 2 3 7 N SD: 12.2485 c. M:-17.2222 c. 28: 3 3 7 2 2 4 7 N SD: 9.7195 c. M: 21.7143 c. 29: 3 3 8 2 2 4 7 N SD: 10.0655 c. M:-18.0345 c. 30: 3 3 8 2 3 3 8 N SD: 9.1104 c. M: 16.2667 c. 32: 3 4 8 2 3 4 8 N SD: 8.0623 c. M: 13.0000 c. 37: 4 4 9 3 3 5 9 N SD: 7.8292 c. M:-12.2162 c. 38: 4 4 10 3 3 4 10 N SD: 8.0267 c. M:-13.0000 c. 39: 4 4 10 3 3 5 10 N SD: 5.8869 c. M: 11.6923 c. 40: 4 4 11 3 3 5 10 N SD: 6.4120 c. M: 9.8000 c. 43: 4 5 11 3 4 5 11 N SD: 5.7070 c. M: 10.8837 c. 48: 5 5 12 4 4 6 12 N SD: 4.7726 c. M: 11.6667 c. 51: 5 6 13 4 4 6 13 N SD: 5.4274 c. M:-9.2745 c. 56: 6 6 14 4 5 7 14 N SD: 5.2068 c. M:-7.5714 c. 57: 6 6 15 4 5 7 14 N SD: 5.7390 c. M:-9.3333 c. 58: 6 6 15 4 5 7 15 N SD: 4.8631 c. M: 9.0690 c. 59: 6 6 16 4 5 7 15 N SD: 3.8906 c. M:-8.0847 c. 66: 7 7 17 5 5 8 17 N SD: 4.1466 c. M: 5.2121 c. 67: 7 7 17 5 6 8 17 N SD: 3.5491 c. M: 6.3731 c. 72: 7 8 19 5 6 9 18 N SD: 3.3140 c. M: 5.7778 c. 83: 8 9 22 6 7 10 21 N SD: 3.1820 c. M: 6.7952 c. 87: 9 9 23 6 7 11 22 N SD: 2.7706 c. M: 5.2414 c. 88: 9 9 23 7 7 11 22 N SD: 2.8951 c. M: 4.2727 c. 90: 9 10 23 7 7 11 23 N SD: 2.6767 c. M:-3.7111 c. 96: 10 10 25 7 8 12 24 N SD: 1.8645 c. M:-4.0000 c. 107: 11 11 28 8 9 13 27 N SD: 1.4086 c. M: 2.9813 c. 126: 13 13 33 9 11 15 32 N SD: 1.7178 c. M: 2.7460 c. 139: 14 15 36 10 12 17 35 N SD: 1.5001 c. M: 2.8849 c. 149: 15 16 39 11 12 18 38 N SD: 1.5772 c. M:-2.2752 c. 158: 16 17 41 12 13 19 40 N SD: 1.4113 c. M:-2.8734 c. 173: 18 18 45 13 14 21 44 N SD: 1.2987 c. M:-2.5202 c. 177: 18 19 46 13 15 21 45 N SD: 1.2679 c. M:-2.5763 c. 186: 19 20 48 14 15 23 47 N SD: 1.1255 c. M:-1.9677 c. 197: 20 21 51 15 16 24 50 N SD: 0.8201 c. M:-1.4670 c. 216: 22 23 56 16 18 26 55 N SD: 0.6618 c. M: 1.6296 c. 256: 26 27 67 19 21 31 65 N SD: 0.8399 c. M:-1.2500 c. 273: 28 29 71 20 23 33 69 N SD: 0.9165 c. M:-1.6703 c. 275: 28 29 72 20 23 33 70 N SD: 0.8954 c. M: 1.5273 c. 284: 29 30 74 21 23 35 72 N SD: 0.8616 c. M: 2.1408 c. 288: 29 31 75 21 24 35 73 N SD: 0.7262 c. M: 1.5556 c. 293: 30 31 76 22 24 36 74 N SD: 0.5718 c. M:-0.8874 c. 312: 32 33 81 23 26 38 79 N SD: 0.3271 c. M:-0.7179 c. 509: 52 54 132 38 42 62 129 N SD: 0.2766 c. M: 0.4185 c. 648: 66 69 168 48 54 79 164 N SD: 0.2594 c. M: 0.4074 c. 688: 70 73 179 51 57 84 174 N SD: 0.2503 c. M:-0.4651 c. 707: 72 75 184 52 59 86 179 N SD: 0.1992 c. M:-0.3013 c. 893: 91 95 232 66 74 109 226 N SD: 0.1767 c. M:-0.2766 c. 904: 92 96 235 67 75 110 229 N SD: 0.1129 c. M: 0.2478 c. 1216: 124 129 316 90 101 148 308 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 3 x x 4 S SD: 22.9191 cents 3 x x 4 x x 5:6 S SD: 25.4941 cents 4 x 5 x 6 x 7:8 S SD: 38.3841 cents 5 x 6:7 x 8 x 10 S SD: 21.2790 cents 6 x 7:8:9 x 10:12 S SD: 17.7618 cents 7 x 8 x 10:11:12:14 S SD: 11.9883 cents 8 x 9:11:12 x 14:16 SD: 18.4645 cents 9:10 x x 13:14:15:18 SD: 13.7856 cents 11:12:13:15:16:17:19:22 SD: 10.0098 cents 13:14:15:18:19:20:22:26 SD: 3.3429 cents 38:41:44:53:56:59:64:77 SD: 2.6157 cents 39:42:45:54:57:60:66:79 SD: 2.5881 cents 49:53:57:68:72:76:83:99 SD: 2.4561 cents 51:55:59:71:75:79:86:103 SD: 1.7682 cents 52:56:60:72:76:81:88:105 SD: 1.7085 cents 56:60:65:78:82:87:95:113 SD: 1.6026 cents 64:69:74:89:94:99:108:129 SD: 1.5723 cents 65:70:75:90:95:101:110:131 SD: 1.4714 cents 69:74:80:96:101:107:117:139 SD: 1.2509 cents 82:88:95:114:120:127:139:166 SD: 1.2131 cents 93:100:108:129:136:144:157:188 SD: 1.1295 cents 95:102:110:132:139:147:161:192 SD: 1.0286 cents 107:115:124:149:157:166:181:216 SD: 1.0208 cents 108:116:125:150:158:168:182:218 SD: 0.9562 cents 120:129:139:167:176:186:203:242 SD: 0.8913 cents 121:130:140:168:177:188:204:244 SD: 0.7349 cents 134:144:155:186:196:208:226:270 SD: 0.7039 cents 147:158:170:204:215:228:248:297 SD: 0.5578 cents 160:172:185:222:234:248:270:323 SD: 0.5576 cents 177:190:205:246:259:275:299:357 SD: 0.5351 cents 190:204:220:264:278:295:321:384 SD: 0.4283 cents 203:218:235:282:297:315:343:410 SD: 0.1987 cents 216:232:250:300:316:335:365:436 SD: 0.0897 cents