Scala analysis: Indonesia_Gunturmadu
Gunturmadu (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: 77.000 cents 77.000000 2: 182.000 cents 182.000000 3: 517.000 cents 517.000000 4: 648.000 cents 648.000000 5: 742.000 cents 742.000000 6: 874.000 cents 874.000000 7: 1213.000 cents 1213.000000
SHOW/INTERVAL
0: 339.0000 cents 339.0000 1: 77.0000 cents 77.0000 2: 105.0000 cents 105.0000 3: 335.0000 cents 335.0000 4: 131.0000 cents 131.0000 5: 94.0000 cents 94.0000 6: 132.0000 cents 132.0000 7: 339.0000 cents 339.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 77.00000 cents 1: 1 94.00000 cents 1: 1 105.00000 cents 1: 1 131.00000 cents 1: 1 132.00000 cents 1: 1 335.00000 cents 1: 1 339.00000 cents 2: 1 182.00000 cents 2: 1 225.00000 cents 2: 1 226.00000 cents 2: 1 416.00000 cents 2: 1 440.00000 cents 2: 1 466.00000 cents 2: 1 471.00000 cents 3: 1 357.00000 cents 3: 1 517.00000 cents 3: 1 521.00000 cents 3: 1 548.00000 cents 3: 1 560.00000 cents 3: 1 565.00000 cents 3: 1 571.00000 cents 4: 1 642.00000 cents 4: 1 648.00000 cents 4: 1 653.00000 cents 4: 1 665.00000 cents 4: 1 692.00000 cents 4: 1 696.00000 cents 4: 1 856.00000 cents 5: 1 742.00000 cents 5: 1 747.00000 cents 5: 1 773.00000 cents 5: 1 797.00000 cents 5: 1 987.00000 cents 5: 1 988.00000 cents 5: 1 1031.00000 cents 6: 1 874.00000 cents 6: 1 878.00000 cents 6: 1 1081.00000 cents 6: 1 1082.00000 cents 6: 1 1108.00000 cents 6: 1 1119.00000 cents 6: 1 1136.00000 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 : 77.0 182.0 517.0 648.0 742.0 874.0 1213.0 77.0 : 105.0 440.0 571.0 665.0 797.0 1136.0 1213.0 182.0 : 335.0 466.0 560.0 692.0 1031.0 1108.0 1213.0 517.0 : 131.0 225.0 357.0 696.0 773.0 878.0 1213.0 648.0 : 94.0 226.0 565.0 642.0 747.0 1082.0 1213.0 742.0 : 132.0 471.0 548.0 653.0 988.0 1119.0 1213.0 874.0 : 339.0 416.0 521.0 856.0 987.0 1081.0 1213.0 1213.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 77.0000 .. 339.0000 cents 262.00000 cents 77.00000 cents 2: 182.0000 .. 471.0000 cents 289.00000 cents -157.00000 cents 3: 357.0000 .. 571.0000 cents 214.00000 cents -114.00000 cents 4: 642.0000 .. 856.0000 cents 214.00000 cents 71.00000 cents 5: 742.0000 .. 1031.0000 cents 289.00000 cents -114.00000 cents 6: 874.0000 .. 1136.0000 cents 262.00000 cents -157.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 77.00000 cents, class 1 Average step (divided formal octave): 173.2857 cents Largest one step interval : 339.00000 cents Average / Smallest step : 2.250464 Largest / Average step : 1.956307 Largest / Smallest step : 4.402597 Median interval of one step : 131.00000 cents, amount: 1 Least squares average step : 157.35000 cents, oct.: 1101.45000 cents Scale is not proper Scale is a mode of a 1213-tone equal temperament with octave 1213.000 cents degrees: 77 182 517 648 742 874 1213 Least number of segments generator : 607 of 607.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 730 of 730.000 cents and inv. generated superset size: 288 = 281 more = 4114.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : ACFDBEG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 18.00000 cents Scale diversity : 1.564618 Lumma stability : 0.185491 Lumma impropriety factor : 0.446826 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 : 1.00000 cents Number of recognisable fifths : 2, average 694.0000 cents Number of recognisable fourths : 0 Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 284.0000 cents: 2 -- Rational properties --
FIT/MODE
7: 0 1 2 1 0 1 2 N T3 SD: 38.7212 c. M: 77.0000 c. 10: 0 1 3 1 1 1 3 N SD: 43.3732 c. M: 77.0000 c. 11: 1 1 3 1 1 1 3 N M DE S SD: 26.5145 c. M:-38.5455 c. 13: 1 1 4 1 1 1 4 N M DE S SD: 21.8477 c. M:-42.8462 c. 15: 1 1 4 2 1 2 4 N S SD: 16.3925 c. M: 31.8000 c. 18: 1 2 5 2 1 2 5 N T3 SD: 15.4131 c. M:-25.8889 c. 19: 1 2 5 2 2 2 5 N SD: 13.9773 c. M:-24.1053 c. 21: 1 2 6 2 2 2 6 N SD: 10.3515 c. M: 19.2381 c. 26: 2 2 7 3 2 3 7 N S SD: 8.4730 c. M:-16.3077 c. 28: 2 2 8 3 2 3 8 N S SD: 6.1919 c. M:-9.6429 c. 46: 3 4 13 5 3 5 13 N SD: 6.2478 c. M:-11.2391 c. 47: 3 4 13 5 4 5 13 N SD: 3.0278 c. M:-6.4468 c. 65: 4 6 18 7 5 7 18 N SD: 4.0245 c. M:-5.5231 c. 75: 5 6 21 8 6 8 21 N SD: 2.3129 c. M: 4.0933 c. 82: 5 7 23 9 6 9 23 N SD: 2.5442 c. M: 4.4878 c. 92: 6 8 25 10 7 10 26 N SD: 2.6870 c. M: 3.8043 c. 93: 6 8 26 10 7 10 26 N SD: 2.4950 c. M:-4.7204 c. 101: 6 9 28 11 8 11 28 N SD: 2.4698 c. M: 4.9406 c. 108: 7 9 30 12 8 12 30 N SD: 1.8711 c. M:-3.4259 c. 126: 8 11 35 13 10 14 35 N SD: 1.8006 c. M: 2.9921 c. 129: 8 11 36 14 10 14 36 N SD: 1.5099 c. M: 3.3411 c. 139: 9 12 38 15 11 15 39 N SD: 1.4789 c. M: 2.2302 c. 157: 10 14 43 17 12 17 44 N SD: 1.4246 c. M:-3.4268 c. 172: 11 15 47 19 13 19 48 N SD: 1.2014 c. M: 2.1802 c. 178: 11 16 49 19 14 19 50 N SD: 1.3607 c. M: 2.0393 c. 185: 12 16 51 20 14 20 52 N SD: 1.3395 c. M: 1.9514 c. 193: 12 17 53 21 15 21 54 N SD: 0.9212 c. M: 1.6321 c. 219: 14 19 60 24 17 24 61 N SD: 0.9105 c. M: 1.8904 c. 221: 14 19 61 24 17 24 62 N SD: 0.8257 c. M: 1.2986 c. 232: 15 20 64 25 18 25 65 N SD: 0.7954 c. M:-1.4267 c. 268: 17 23 74 29 21 29 75 N SD: 0.6366 c. M: 1.0224 c. 286: 18 25 79 31 22 31 80 N SD: 0.4974 c. M:-0.9126 c. 361: 23 31 100 39 28 39 101 N SD: 0.4353 c. M:-0.5845 c. 425: 27 37 117 46 33 46 119 N SD: 0.3846 c. M:-0.6635 c. 505: 32 44 139 55 39 55 141 N SD: 0.3937 c. M: 0.5743 c. 507: 32 44 140 55 39 55 142 N SD: 0.3877 c. M: 0.7357 c. 533: 34 46 147 58 41 58 149 N SD: 0.3119 c. M:-0.6023 c. 554: 35 48 153 60 43 60 155 N SD: 0.2660 c. M: 0.3773 c. 659: 42 57 182 71 51 72 184 N SD: 0.2236 c. M:-0.3171 c. 788: 50 68 218 85 61 86 220 N SD: 0.2075 c. M: 0.3579 c. 852: 54 74 235 92 66 93 238 N SD: 0.1844 c. M: 0.2477 c. 880: 56 76 243 95 68 96 246 N SD: 0.1893 c. M: 0.4159 c. 927: 59 80 256 100 72 101 259 N SD: 0.1535 c. M: 0.2816 c. 945: 60 82 261 102 73 103 264 N SD: 0.1805 c. M:-0.2899 c. 992: 63 86 274 107 77 108 277 N SD: 0.1839 c. M:-0.2893 c. 1020: 65 88 282 110 79 111 285 N SD: 0.1743 c. M:-0.3088 c. 1138: 72 99 314 123 88 124 318 N SD: 0.1524 c. M:-0.2698 c. 1166: 74 101 322 126 90 127 326 N SD: 0.1220 c. M: 0.2599 c. 1185: 75 103 327 128 92 129 331 N SD: 0.1463 c. M: 0.2278 c. 1213: 77 105 335 131 94 132 339 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 13.0000 cents 2 x x x x 3 x 4 S SD: 21.0511 cents 3 x x 4 x x 5:6 S SD: 8.4037 cents 4 x x 5 x 6:7:8 S SD: 41.7159 cents 5 x 6 x 7 x 8:10 S SD: 40.2767 cents 6 x 7:8 x 9:10:12 S SD: 19.4343 cents 7 x 8:9:10:11:12:14 S SD: 20.6587 cents 8 x 9:11 x 12:13:16 SD: 13.4919 cents 9 x 10:12:13:14:15:18 S SD: 5.9871 cents 10 x 11:13 x 15:17:20 SD: 17.8845 cents 11 x 12:15:16:17:18:22 SD: 7.7188 cents 12 x 13:16:17:18:20:24 SD: 13.0704 cents 13:14 x 18:19:20:22:26 SD: 13.3338 cents 14:15:16:19:20:21:23:28 SD: 12.1818 cents 15:16:17:20:22:23:25:30 SD: 8.1760 cents 17:18:19:23:25:26:28:34 SD: 5.2164 cents 20:21:22:27:29:31:33:40 SD: 4.2179 cents 26:27:29:35:38:40:43:52 SD: 3.0790 cents 43:45:48:58:63:66:71:87 SD: 2.6073 cents 44:46:49:59:64:68:73:89 SD: 2.4223 cents 46:48:51:62:67:71:76:93 SD: 1.8937 cents 62:65:69:84:90:95:103:125 SD: 1.7584 cents 63:66:70:85:92:97:104:127 SD: 1.6751 cents 64:67:71:86:93:98:106:129 SD: 1.1165 cents 90:94:100:121:131:138:149:181 SD: 0.9562 cents 108:113:120:146:157:166:179:218 SD: 0.9074 cents 110:115:122:148:160:169:182:222 SD: 0.8225 cents 134:140:149:181:195:206:222:270 SD: 0.7142 cents 135:141:150:182:196:207:224:272 SD: 0.6478 cents 152:159:169:205:221:233:252:306 SD: 0.5426 cents 172:180:191:232:250:264:285:347 SD: 0.4283 cents 198:207:220:267:288:304:328:399 SD: 0.1506 cents 460:481:511:620:669:706:762:927 SD: 0.1036 cents