Scala analysis: Indonesia_Gender_Wayang_11
11 (Gender Wayang), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 197.000 cents 197.000000 2: 420.000 cents 420.000000 3: 686.000 cents 686.000000 4: 939.000 cents 939.000000 5: 1185.000 cents 1185.000000 6: 1414.000 cents 1414.000000 7: 1659.000 cents 1659.000000 8: 1904.000 cents 1904.000000 9: 2168.000 cents 2168.000000
SHOW/INTERVAL
0: 264.0000 cents 264.0000 1: 197.0000 cents 197.0000 2: 223.0000 cents 223.0000 3: 266.0000 cents 266.0000 4: 253.0000 cents 253.0000 5: 246.0000 cents 246.0000 6: 229.0000 cents 229.0000 7: 245.0000 cents 245.0000 8: 245.0000 cents 245.0000 9: 264.0000 cents 264.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 197.00000 cents 1: 1 223.00000 cents 1: 1 229.00000 cents 1: 2 245.00000 cents 1: 1 246.00000 cents 1: 1 253.00000 cents 1: 1 264.00000 cents 1: 1 266.00000 cents 2: 1 420.00000 cents 2: 1 461.00000 cents 2: 1 474.00000 cents 2: 1 475.00000 cents 2: 1 489.00000 cents 2: 1 490.00000 cents 2: 1 499.00000 cents 2: 1 509.00000 cents 2: 1 519.00000 cents 3: 1 684.00000 cents 3: 1 686.00000 cents 3: 1 706.00000 cents 3: 1 719.00000 cents 3: 1 720.00000 cents 3: 1 728.00000 cents 3: 1 742.00000 cents 3: 1 754.00000 cents 3: 1 765.00000 cents 4: 1 929.00000 cents 4: 1 939.00000 cents 4: 1 950.00000 cents 4: 1 951.00000 cents 4: 1 965.00000 cents 4: 1 973.00000 cents 4: 1 983.00000 cents 4: 1 988.00000 cents 4: 1 994.00000 cents 5: 1 1174.00000 cents 5: 1 1180.00000 cents 5: 1 1185.00000 cents 5: 1 1195.00000 cents 5: 1 1203.00000 cents 5: 1 1217.00000 cents 5: 1 1218.00000 cents 5: 1 1229.00000 cents 5: 1 1239.00000 cents 6: 1 1403.00000 cents 6: 1 1414.00000 cents 6: 1 1426.00000 cents 6: 1 1440.00000 cents 6: 1 1448.00000 cents 6: 1 1449.00000 cents 6: 1 1462.00000 cents 6: 1 1482.00000 cents 6: 1 1484.00000 cents 7: 1 1649.00000 cents 7: 1 1659.00000 cents 7: 1 1669.00000 cents 7: 1 1678.00000 cents 7: 1 1679.00000 cents 7: 1 1693.00000 cents 7: 1 1694.00000 cents 7: 1 1707.00000 cents 7: 1 1748.00000 cents 8: 1 1902.00000 cents 8: 1 1904.00000 cents 8: 1 1915.00000 cents 8: 1 1922.00000 cents 8: 2 1923.00000 cents 8: 1 1939.00000 cents 8: 1 1945.00000 cents 8: 1 1971.00000 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 8.75000 = 35/4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 197.0 420.0 686.0 939.0 1185.0 1414.0 1659.0 1904.0 2168.0 197.0 : 223.0 489.0 742.0 988.0 1217.0 1462.0 1707.0 1971.0 2168.0 420.0 : 266.0 519.0 765.0 994.0 1239.0 1484.0 1748.0 1945.0 2168.0 686.0 : 253.0 499.0 728.0 973.0 1218.0 1482.0 1679.0 1902.0 2168.0 939.0 : 246.0 475.0 720.0 965.0 1229.0 1426.0 1649.0 1915.0 2168.0 1185.0: 229.0 474.0 719.0 983.0 1180.0 1403.0 1669.0 1922.0 2168.0 1414.0: 245.0 490.0 754.0 951.0 1174.0 1440.0 1693.0 1939.0 2168.0 1659.0: 245.0 509.0 706.0 929.0 1195.0 1448.0 1694.0 1923.0 2168.0 1904.0: 264.0 461.0 684.0 950.0 1203.0 1449.0 1678.0 1923.0 2168.0 2168.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 197.0000 .. 266.0000 cents 69.00000 cents 197.00000 cents 2: 420.0000 .. 519.0000 cents 99.00000 cents 154.00000 cents 3: 684.0000 .. 765.0000 cents 81.00000 cents 165.00000 cents 4: 929.0000 .. 994.0000 cents 65.00000 cents 164.00000 cents 5: 1174.0000 .. 1239.0000 cents 65.00000 cents 180.00000 cents 6: 1403.0000 .. 1484.0000 cents 81.00000 cents 164.00000 cents 7: 1649.0000 .. 1748.0000 cents 99.00000 cents 165.00000 cents 8: 1902.0000 .. 1971.0000 cents 69.00000 cents 154.00000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 197.00000 cents, class 1 Average step (divided formal octave): 240.8889 cents Largest one step interval : 266.00000 cents Average / Smallest step : 1.222786 Largest / Average step : 1.104244 Largest / Smallest step : 1.350254 Median interval of one step : 245.00000 cents, amount: 2 Most common interval of one step : 245.00000 cents, amount: 2 Least squares average step : 237.25263 cents, oct.: 2135.27368 cents Scale is strictly proper Scale is a mode of a 2168-tone equal temperament with octave 2168.000 cents degrees: 197 420 686 939 1185 1414 1659 1904 2168 Least number of segments generator : 1085 of 1085.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1927 of 1927.000 cents and inv. generated superset size: 557 = 548 more = 6188.889% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGGH Step pattern size order : ABHFECDDG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 154.00000 cents Scale diversity : 0.070734 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.710332 Rothenberg efficiency : 0.228395 redundancy: 0.771605 Efficiency x scale size : 2.055556 Number of different interval sizes : 70 = 8.75000 / class Number of one step interval sizes : 8 Highest interval variety : 9 Mean interval variety : 8.75000 = 35/4 Median interval variety : 8.5 Lowest interval variety : 8 Smallest interval difference : 1.00000 cents Most common intervals : 245.00000 cents & inv., amount: 2 Most common triad is 0.0 245.000 1923.000 cents, amount: 1 Number of recognisable fifths : 4, average 707.7500 cents Number of appreciable fifths : 1, average 706.0000 cents Number of recognisable fourths : 4, average 496.7500 cents Formal octave complements present : 1 = 11.1111% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 99.0000 cents: 2 -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 33.8710 c. M:-61.7778 c. Pelog Nawanada: Sunda 16: 1 2 2 2 2 1 2 2 2 P M ME S SD: 33.2269 c. M: 61.5000 c. Noll Pseudo-diatonic, Agmon Diatonic DS3 inverse, Superphrygian 20: 2 2 2 3 2 2 2 3 2 SP M ME S SD: 27.0361 c. M:-47.2000 c. Balzano Nine-tone inverse 22: 2 2 3 2 3 2 3 2 3 SP M ME S SD: 25.4889 c. M: 52.0909 c. 23: 2 2 3 3 3 2 3 2 3 P D3 SD: 25.8639 c. M: 42.9565 c. 24: 2 3 3 2 3 3 2 3 3 SP B ME S SD: 26.0761 c. M:-36.6667 c. 25: 2 3 3 3 3 2 3 3 3 SP M ME S SD: 17.3608 c. M:-29.0800 c. Superphrygian 26: 2 3 3 3 3 3 3 3 3 SP M ME S SD: 16.1433 c. M: 30.2308 c. 31: 3 3 4 3 4 3 4 3 4 SP M ME S SD: 15.3045 c. M: 29.8387 c. 34: 3 4 4 4 4 3 4 4 4 SP M ME S SD: 15.5624 c. M:-26.5294 c. 35: 3 4 4 4 4 4 4 4 4 SP M ME S SD: 10.8134 c. M:-16.2286 c. 42: 4 4 5 5 5 4 5 5 5 SP D3 S SD: 10.3457 c. M: 20.2857 c. 51: 5 5 6 6 6 5 6 6 6 SP D3 S SD: 7.8184 c. M:-15.5490 c. 57: 5 6 7 7 6 6 7 6 7 SP SD: 7.3678 c. M:-14.5439 c. 58: 5 6 7 7 7 6 6 7 7 SP SD: 9.1250 c. M: 14.3103 c. 60: 5 7 7 7 7 6 7 7 7 SP T3 SD: 8.5786 c. M: 16.3333 c. 63: 6 6 8 7 7 7 7 7 8 SP T3 S SD: 8.5288 c. M: 14.9683 c. 64: 6 6 8 8 7 7 7 7 8 SP SD: 7.5316 c. M: 13.5000 c. 66: 6 7 8 8 7 7 8 7 8 SP SD: 7.6284 c. M:-16.2727 c. 67: 6 7 8 8 8 7 7 8 8 SP SD: 6.6577 c. M:-12.2537 c. 73: 7 7 9 9 8 8 8 8 9 SP SD: 7.0197 c. M:-11.5342 c. 76: 7 8 9 9 9 8 8 9 9 SP SD: 7.2511 c. M:-13.1053 c. 77: 7 8 9 9 9 8 9 9 9 SP SD: 6.4082 c. M:-10.5974 c. 78: 7 8 10 9 9 8 9 9 9 SP SD: 7.5560 c. M:-13.8462 c. 79: 7 8 10 9 9 8 9 9 10 SP SD: 8.3269 c. M: 14.4051 c. 81: 7 9 10 9 9 9 9 9 10 SP SD: 6.2532 c. M:-9.9012 c. 86: 8 9 10 10 10 9 10 10 10 SP SD: 6.0828 c. M:-11.9070 c. 88: 8 9 11 10 10 9 10 10 11 SP SD: 5.2017 c. M: 9.7273 c. 92: 8 10 11 11 10 10 10 11 11 SP SD: 5.4410 c. M: 9.4348 c. 97: 9 10 12 11 11 10 11 11 12 SP SD: 4.2779 c. M:-6.8660 c. 114: 10 12 14 13 13 12 13 13 14 SP SD: 4.7954 c. M: 7.1404 c. 115: 10 12 14 14 13 12 13 13 14 SP SD: 4.3885 c. M: 8.4783 c. 120: 11 12 15 14 14 12 14 13 15 SP SD: 4.2174 c. M:-7.4000 c. 123: 11 13 15 14 14 13 14 14 15 SP SD: 2.9944 c. M: 4.8211 c. 141: 13 14 18 16 16 15 16 16 17 SP SD: 2.9592 c. M:-5.9149 c. 146: 13 15 18 17 17 15 17 16 18 SP SD: 3.3623 c. M: 4.2192 c. 154: 14 16 19 18 17 16 18 17 19 SP SD: 3.3226 c. M: 6.2078 c. 155: 14 16 19 18 18 16 18 17 19 SP SD: 2.4787 c. M:-5.4645 c. 187: 17 19 23 22 21 20 21 21 23 SP SD: 1.6778 c. M: 2.6524 c. 196: 18 20 24 23 22 21 22 22 24 SP SD: 1.2330 c. M:-2.1020 c. 319: 29 33 39 37 36 34 36 36 39 SP SD: 1.1106 c. M: 2.4545 c. 351: 32 36 43 41 40 37 40 39 43 SP SD: 1.0810 c. M:-2.5157 c. 383: 35 39 47 45 43 41 43 43 47 SP SD: 1.2268 c. M: 2.0470 c. 386: 35 40 47 45 44 41 43 44 47 SP SD: 1.0406 c. M: 2.1088 c. 388: 35 40 48 45 44 41 44 44 47 SP SD: 0.8881 c. M: 1.4330 c. 397: 36 41 49 46 45 42 45 45 48 SP SD: 1.0414 c. M:-2.0806 c. 408: 37 42 50 48 46 43 46 46 50 SP SD: 0.8954 c. M: 1.6863 c. 434: 39 45 53 51 49 46 49 49 53 SP SD: 1.0391 c. M: 2.1797 c. 439: 40 45 54 51 50 46 50 50 53 SP SD: 0.9900 c. M:-2.2597 c. 443: 40 46 54 52 50 47 50 50 54 SP SD: 0.6736 c. M: 1.2438 c. 527: 48 54 65 61 60 56 59 60 64 SP SD: 0.7915 c. M:-1.1651 c. 541: 49 56 66 63 62 57 61 61 66 SP SD: 0.7594 c. M: 1.2699 c. 549: 50 56 68 64 62 58 62 62 67 SP SD: 0.7351 c. M: 1.4062 c. 575: 52 59 71 67 65 61 65 65 70 SP SD: 0.6940 c. M: 1.4817 c. 584: 53 60 72 68 66 62 66 66 71 SP SD: 0.4797 c. M:-0.7808 c. 796: 72 82 98 93 90 84 90 90 97 SP SD: 0.4776 c. M: 0.8995 c. 805: 73 83 99 94 91 85 91 91 98 SP SD: 0.4219 c. M:-0.9155 c. 856: 78 88 105 100 97 90 97 97 104 SP SD: 0.4765 c. M: 0.7477 c. 878: 80 90 108 102 100 93 99 99 107 SP SD: 0.4718 c. M:-0.8793 c. 882: 80 91 108 103 100 93 100 100 107 SP SD: 0.4373 c. M:-0.9887 c. 889: 81 91 109 104 101 94 100 101 108 SP SD: 0.4963 c. M: 0.7267 c. 894: 81 92 110 104 102 94 101 101 109 SP SD: 0.4499 c. M:-0.8523 c. 903: 82 93 111 105 103 95 102 102 110 SP SD: 0.4259 c. M:-1.0377 c. 938: 85 97 115 109 107 99 106 106 114 SP SD: 0.5357 c. M:-0.6972 c. 944: 86 97 116 110 107 100 106 107 115 SP SD: 0.4883 c. M: 0.8475 c. 946: 86 97 116 111 107 100 107 107 115 SP SD: 0.4255 c. M: 0.7653 c. 955: 87 98 117 112 108 101 108 108 116 SP SD: 0.4603 c. M:-0.8450 c. 970: 88 100 119 113 110 103 109 110 118 SP SD: 0.4024 c. M:-0.7876 c. 992: 90 102 122 116 112 105 112 112 121 SP SD: 0.3859 c. M:-0.7581 c. 1001: 91 103 123 117 113 106 113 113 122 SP SD: 0.4121 c. M:-0.9720 c. 1027: 93 106 126 120 116 109 116 116 125 SP SD: 0.3906 c. M: 0.7274 c. 1034: 94 106 127 121 117 109 117 117 126 SP SD: 0.4432 c. M: 0.8162 c. 1036: 94 107 127 121 117 110 117 117 126 SP SD: 0.4774 c. M:-0.6409 c. 1043: 95 107 128 122 118 110 118 118 127 SP SD: 0.3194 c. M: 0.5388 c. 1069: 97 110 131 125 121 113 121 121 130 SP SD: 0.3449 c. M: 0.6109 c. 1078: 98 111 132 126 122 114 122 122 131 SP SD: 0.2887 c. M:-0.5417 c. 1090: 99 112 134 127 124 115 123 123 133 SP SD: 0.2855 c. M: 0.5358 c. 1099: 100 113 135 128 125 116 124 124 134 SP SD: 0.3355 c. M:-0.5942 c. 1125: 102 116 138 131 128 119 127 127 137 SP SD: 0.2961 c. M:-0.4996 c. 1312: 119 135 161 153 149 139 148 148 160 SP SD: 0.3109 c. M:-0.4878 c. 1321: 120 136 162 154 150 140 149 149 161 SP SD: 0.2755 c. M:-0.6980 c. 1363: 124 140 167 159 155 144 154 154 166 SP SD: 0.2492 c. M: 0.5407 c. 1431: 130 147 176 167 162 151 162 162 174 SP SD: 0.2899 c. M: 0.4822 c. 1486: 135 153 182 174 168 157 168 168 181 SP SD: 0.2708 c. M:-0.5639 c. 1529: 139 157 188 178 174 161 173 173 186 SP SD: 0.2609 c. M:-0.3813 c. 1533: 139 158 188 179 174 162 173 173 187 SP SD: 0.2308 c. M: 0.4592 c. 1575: 143 162 193 184 179 166 178 178 192 SP SD: 0.2720 c. M: 0.4990 c. 1584: 144 163 194 185 180 167 179 179 193 SP SD: 0.1769 c. M: 0.2879 c. 1725: 157 177 212 201 196 182 195 195 210 SP SD: 0.1730 c. M:-0.3194 c. 1947: 177 200 239 227 221 206 220 220 237 SP SD: 0.1690 c. M: 0.3128 c. 1972: 179 203 242 230 224 208 223 223 240 SP SD: 0.1225 c. M: 0.2089 c. 2159: 196 222 265 252 245 228 244 244 263 SP SD: 0.1412 c. M: 0.2575 c. 2168: 197 223 266 253 246 229 245 245 264 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 x x 3 x S SD: 7.5694 cents 2 x x 3 x 4 x 5:6:7 S SD: 15.1891 cents 3 x 4 x 5:6:7:8:9:10 S SD: 20.5146 cents 4 x 5:6:7:8:9:10:12:14 S SD: 11.1059 cents 5 x 6:7:9:10:11:13:15:17 SD: 22.6615 cents 6:7:8:9:10:12:14:16:18:21 S SD: 15.2198 cents 7:8:9:10:12:14:16:18:21:24 S SD: 10.2052 cents 8:9:10:12:14:16:18:21:24:28 S SD: 5.8764 cents 14:16:18:21:24:28:32:37:42:49 SD: 5.8398 cents 15:17:19:22:26:30:34:39:45:52 SD: 4.5985 cents 18:20:23:27:31:36:41:47:54:63 SD: 3.2435 cents 25:28:32:37:43:50:57:65:75:87 SD: 2.7392 cents 33:37:42:49:57:65:75:86:99:115 SD: 1.9094 cents 43:48:55:64:74:85:97:112:129:150 SD: 1.4818 cents 50:56:64:74:86:99:113:130:150:175 SD: 1.3490 cents 51:57:65:76:88:101:115:133:153:178 SD: 1.2909 cents 58:65:74:86:100:115:131:151:174:203 SD: 0.8548 cents 76:85:97:113:131:151:172:198:228:266 SD: 0.7769 cents 99:111:126:147:170:196:224:258:297:346 SD: 0.6392 cents 117:131:149:174:201:232:265:305:351:409 SD: 0.4660 cents 160:179:204:238:275:317:362:417:481:560 SD: 0.4625 cents 164:184:209:244:282:325:371:428:493:574 SD: 0.4405 cents 167:187:213:248:287:331:378:435:502:584 SD: 0.3952 cents 175:196:223:260:301:347:396:456:526:612 SD: 0.2252 cents 292:327:372:434:502:579:661:761:877:1022 SD: 0.2193 cents 331:371:422:492:569:656:749:863:994:1158 SD: 0.1738 cents 339:380:432:504:583:672:767:884:1018:1186 SD: 0.1389 cents 407:456:519:605:700:807:921:1061:1222:1424 SD: 0.1318 cents 415:465:529:617:714:823:939:1082:1246:1452 SD: 0.1253 cents 506:567:645:752:870:1003:1145:1319:1520:1770 SD: 0.1141 cents 514:576:655:764:884:1019:1163:1340:1544:1798 SD: 0.0791 cents 590:661:752:877:1015:1170:1335:1538:1772:2064 SD: 0.0750 cents