Scala analysis: Indonesia_Gender_Wayang_10
10 (Gender Wayang), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 172.000 cents 172.000000 2: 451.000 cents 451.000000 3: 695.000 cents 695.000000 4: 951.000 cents 951.000000 5: 1190.000 cents 1190.000000 6: 1405.000 cents 1405.000000 7: 1657.000 cents 1657.000000 8: 1899.000 cents 1899.000000 9: 2161.000 cents 2161.000000
SHOW/INTERVAL
0: 262.0000 cents 262.0000 1: 172.0000 cents 172.0000 2: 279.0000 cents 279.0000 3: 244.0000 cents 244.0000 4: 256.0000 cents 256.0000 5: 239.0000 cents 239.0000 6: 215.0000 cents 215.0000 7: 252.0000 cents 252.0000 8: 242.0000 cents 242.0000 9: 262.0000 cents 262.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 172.00000 cents 1: 1 215.00000 cents 1: 1 239.00000 cents 1: 1 242.00000 cents 1: 1 244.00000 cents 1: 1 252.00000 cents 1: 1 256.00000 cents 1: 1 262.00000 cents 1: 1 279.00000 cents 2: 1 434.00000 cents 2: 1 451.00000 cents 2: 1 454.00000 cents 2: 1 467.00000 cents 2: 1 494.00000 cents 2: 1 495.00000 cents 2: 1 500.00000 cents 2: 1 504.00000 cents 2: 1 523.00000 cents 3: 1 676.00000 cents 3: 1 695.00000 cents 3: 1 706.00000 cents 3: 1 709.00000 cents 3: 1 710.00000 cents 3: 1 713.00000 cents 3: 1 739.00000 cents 3: 1 756.00000 cents 3: 1 779.00000 cents 4: 1 928.00000 cents 4: 1 948.00000 cents 4: 1 951.00000 cents 4: 1 954.00000 cents 4: 1 955.00000 cents 4: 1 957.00000 cents 4: 1 962.00000 cents 4: 1 971.00000 cents 4: 1 1018.00000 cents 5: 1 1143.00000 cents 5: 1 1190.00000 cents 5: 1 1199.00000 cents 5: 1 1204.00000 cents 5: 1 1206.00000 cents 5: 1 1207.00000 cents 5: 1 1210.00000 cents 5: 1 1213.00000 cents 5: 1 1233.00000 cents 6: 1 1382.00000 cents 6: 1 1405.00000 cents 6: 1 1422.00000 cents 6: 1 1448.00000 cents 6: 1 1451.00000 cents 6: 1 1452.00000 cents 6: 1 1455.00000 cents 6: 1 1466.00000 cents 6: 1 1485.00000 cents 7: 1 1638.00000 cents 7: 1 1657.00000 cents 7: 1 1661.00000 cents 7: 1 1666.00000 cents 7: 1 1667.00000 cents 7: 1 1694.00000 cents 7: 1 1707.00000 cents 7: 1 1710.00000 cents 7: 1 1727.00000 cents 8: 1 1882.00000 cents 8: 1 1899.00000 cents 8: 1 1905.00000 cents 8: 1 1909.00000 cents 8: 1 1917.00000 cents 8: 1 1919.00000 cents 8: 1 1922.00000 cents 8: 1 1946.00000 cents 8: 1 1989.00000 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 9.00000 = 9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 172.0 451.0 695.0 951.0 1190.0 1405.0 1657.0 1899.0 2161.0 172.0 : 279.0 523.0 779.0 1018.0 1233.0 1485.0 1727.0 1989.0 2161.0 451.0 : 244.0 500.0 739.0 954.0 1206.0 1448.0 1710.0 1882.0 2161.0 695.0 : 256.0 495.0 710.0 962.0 1204.0 1466.0 1638.0 1917.0 2161.0 951.0 : 239.0 454.0 706.0 948.0 1210.0 1382.0 1661.0 1905.0 2161.0 1190.0: 215.0 467.0 709.0 971.0 1143.0 1422.0 1666.0 1922.0 2161.0 1405.0: 252.0 494.0 756.0 928.0 1207.0 1451.0 1707.0 1946.0 2161.0 1657.0: 242.0 504.0 676.0 955.0 1199.0 1455.0 1694.0 1909.0 2161.0 1899.0: 262.0 434.0 713.0 957.0 1213.0 1452.0 1667.0 1919.0 2161.0 2161.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 172.0000 .. 279.0000 cents 107.00000 cents 172.00000 cents 2: 434.0000 .. 523.0000 cents 89.00000 cents 155.00000 cents 3: 676.0000 .. 779.0000 cents 103.00000 cents 153.00000 cents 4: 928.0000 .. 1018.0000 cents 90.00000 cents 149.00000 cents 5: 1143.0000 .. 1233.0000 cents 90.00000 cents 125.00000 cents 6: 1382.0000 .. 1485.0000 cents 103.00000 cents 149.00000 cents 7: 1638.0000 .. 1727.0000 cents 89.00000 cents 153.00000 cents 8: 1882.0000 .. 1989.0000 cents 107.00000 cents 155.00000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 172.00000 cents, class 1 Average step (divided formal octave): 240.1111 cents Largest one step interval : 279.00000 cents Average / Smallest step : 1.395995 Largest / Average step : 1.161962 Largest / Smallest step : 1.622093 Median interval of one step : 244.00000 cents, amount: 1 Least squares average step : 237.13333 cents, oct.: 2134.20000 cents Scale is strictly proper Scale is a mode of a 2161-tone equal temperament with octave 2161.000 cents degrees: 172 451 695 951 1190 1405 1657 1899 2161 Least number of segments generator : 1081 of 1081.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1921 of 1921.000 cents and inv. generated superset size: 614 = 605 more = 6822.222% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGHI Step pattern size order : AIEGCBFDH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 125.00000 cents Scale diversity : 0.091106 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.639981 Rothenberg efficiency : 0.222222 redundancy: 0.777778 Efficiency x scale size : 2.000000 Number of different interval sizes : 72 = 9.00000 / class Number of one step interval sizes : 9 Highest interval variety : 9 Mean interval variety : 9.00000 = 9 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 5, average 706.6000 cents Number of recognisable fourths : 4, average 498.2500 cents Formal octave complements present : 1 = 11.1111% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 31.0055 c. M:-68.1111 c. Pelog Nawanada: Sunda 16: 1 2 2 2 2 1 2 2 2 P M ME S SD: 31.3969 c. M: 54.3750 c. Noll Pseudo-diatonic, Agmon Diatonic DS3 inverse, Superphrygian 20: 2 2 2 3 2 2 2 3 2 SP M ME S SD: 30.4819 c. M: 46.7000 c. Balzano Nine-tone inverse 22: 2 3 2 3 2 2 3 2 3 SP M ME S SD: 24.7018 c. M:-40.1364 c. 23: 2 3 2 3 3 2 3 2 3 SP M ME S SD: 22.8548 c. M: 37.3043 c. 25: 2 3 3 3 3 2 3 3 3 SP M ME S SD: 12.8085 c. M: 21.9600 c. Superphrygian 34: 3 4 4 4 4 3 4 4 4 SP M ME S SD: 9.6861 c. M:-18.6765 c. 52: 4 7 6 6 6 5 6 6 6 SP SD: 8.8690 c. M:-15.1731 c. 63: 5 8 7 8 7 6 7 7 8 SP SD: 7.9846 c. M: 12.4127 c. 66: 5 9 7 8 7 7 8 7 8 SP SD: 7.3145 c. M:-12.8636 c. 72: 6 9 8 9 8 7 8 8 9 SP SD: 6.8747 c. M:-10.5556 c. 73: 6 9 8 9 8 7 9 8 9 SP SD: 7.7126 c. M: 14.1370 c. 74: 6 10 8 9 8 7 9 8 9 SP SD: 8.1068 c. M:-16.2432 c. 75: 6 10 8 9 8 8 9 8 9 SP SD: 7.0166 c. M:-14.1733 c. 77: 6 10 9 9 8 8 9 9 9 SP SD: 5.6883 c. M: 11.2727 c. 80: 6 11 9 9 9 8 9 9 10 SP SD: 6.7009 c. M: 9.9250 c. 82: 6 11 9 10 9 8 10 9 10 SP SD: 6.6732 c. M: 13.8780 c. 86: 7 11 10 10 9 9 10 10 10 SP SD: 5.8490 c. M:-10.7209 c. 89: 7 12 10 10 10 9 10 10 11 SP SD: 5.6036 c. M:-10.3371 c. 91: 7 12 10 11 10 9 11 10 11 SP SD: 3.7366 c. M: 6.3297 c. 100: 8 13 11 12 11 10 12 11 12 SP SD: 2.9589 c. M:-6.9700 c. 125: 10 16 14 15 14 12 15 14 15 SP SD: 2.5705 c. M: 4.6720 c. 134: 11 17 15 16 15 13 16 15 16 SP SD: 2.9753 c. M:-5.3955 c. 149: 12 19 17 18 16 15 17 17 18 SP SD: 2.6665 c. M:-6.2215 c. 172: 14 22 19 21 19 17 20 19 21 SP SD: 2.8002 c. M: 3.9826 c. 180: 14 23 21 21 20 18 21 20 22 SP SD: 2.9181 c. M: 6.7944 c. 189: 15 24 22 22 21 19 22 21 23 SP SD: 2.1213 c. M: 5.0794 c. 198: 16 25 23 23 22 20 23 22 24 SP SD: 2.2661 c. M: 3.5202 c. 200: 16 26 22 24 22 20 23 23 24 SP SD: 2.2341 c. M: 3.8350 c. 205: 16 27 23 24 23 20 24 23 25 SP SD: 2.0729 c. M: 3.3366 c. 214: 17 28 24 25 24 21 25 24 26 SP SD: 1.6172 c. M:-3.4159 c. 240: 19 31 27 29 26 24 28 27 29 SP SD: 1.4603 c. M:-3.4417 c. 249: 20 32 28 30 27 25 29 28 30 SP SD: 1.5445 c. M:-3.6586 c. 254: 20 33 29 30 28 25 30 28 31 SP SD: 1.6257 c. M:-2.6457 c. 274: 22 35 31 33 30 27 32 31 33 SP SD: 1.5625 c. M:-3.3102 c. 289: 23 37 33 34 32 29 34 32 35 SP SD: 1.4300 c. M:-3.0069 c. 305: 24 40 34 36 34 30 36 34 37 SP SD: 1.4251 c. M:-2.4557 c. 312: 25 40 35 37 35 31 36 35 38 SP SD: 1.4480 c. M: 2.3718 c. 314: 25 41 35 37 35 31 37 35 38 SP SD: 1.3433 c. M:-3.2229 c. 329: 26 43 37 39 36 33 38 37 40 SP SD: 1.3040 c. M:-2.2188 c. 354: 28 46 40 42 39 35 41 40 43 SP SD: 1.1880 c. M: 2.6751 c. 355: 28 46 40 42 39 36 41 40 43 SP SD: 1.3952 c. M: 2.9718 c. 361: 29 46 41 43 40 36 42 40 44 SP SD: 1.3164 c. M: 2.0388 c. 363: 29 47 41 43 40 36 42 41 44 SP SD: 1.1332 c. M: 2.0193 c. 380: 30 49 43 45 42 38 44 43 46 SP SD: 1.2922 c. M: 2.1289 c. 389: 31 50 44 46 43 39 45 44 47 SP SD: 0.9008 c. M: 1.5296 c. 454: 36 59 51 54 50 45 53 51 55 SP SD: 0.6523 c. M:-1.1916 c. 463: 37 60 52 55 51 46 54 52 56 SP SD: 0.7783 c. M:-1.7365 c. 503: 40 65 57 59 56 50 59 56 61 SP SD: 0.7595 c. M: 1.5348 c. 541: 43 70 61 64 60 54 63 60 66 SP SD: 0.7209 c. M: 1.6340 c. 566: 45 73 64 67 63 56 66 63 69 SP SD: 0.6627 c. M: 1.4435 c. 588: 47 76 66 70 65 58 69 66 71 SP SD: 0.7937 c. M: 1.0850 c. 591: 47 76 67 70 65 59 69 66 72 SP SD: 0.8935 c. M: 1.6328 c. 594: 47 77 67 70 66 59 69 67 72 SP SD: 0.8633 c. M: 1.6886 c. 600: 48 77 68 71 66 60 70 67 73 SP SD: 0.7126 c. M: 1.4500 c. 603: 48 78 68 71 67 60 70 68 73 SP SD: 0.6669 c. M: 1.3085 c. 618: 49 80 70 73 68 62 72 69 75 SP SD: 0.5935 c. M: 1.1003 c. 643: 51 83 73 76 71 64 75 72 78 SP SD: 0.3959 c. M:-0.6874 c. 652: 52 84 74 77 72 65 76 73 79 SP SD: 0.4048 c. M:-1.0276 c. 743: 59 96 84 88 82 74 87 83 90 SP SD: 0.3643 c. M:-0.8331 c. 777: 62 100 88 92 86 77 91 87 94 SP SD: 0.4160 c. M:-0.6010 c. 957: 76 124 108 113 106 95 112 107 116 SP SD: 0.3812 c. M:-0.6196 c. 1029: 82 133 116 122 114 102 120 115 125 SP SD: 0.3778 c. M:-0.7551 c. 1041: 83 134 118 123 115 104 121 117 126 SP SD: 0.3950 c. M: 0.5322 c. 1046: 83 135 118 124 116 104 122 117 127 SP SD: 0.4667 c. M: 0.8356 c. 1054: 84 136 119 125 116 105 123 118 128 SP SD: 0.4081 c. M: 0.8349 c. 1055: 84 136 119 125 117 105 123 118 128 SP SD: 0.3192 c. M: 0.6123 c. 1106: 88 143 125 131 122 110 129 124 134 SP SD: 0.3045 c. M:-0.5841 c. 1120: 89 145 126 133 124 111 131 125 136 SP SD: 0.3672 c. M:-0.4946 c. 1132: 90 146 128 134 125 113 132 127 137 SP SD: 0.3434 c. M: 0.6864 c. 1197: 95 155 135 142 132 119 140 134 145 SP SD: 0.3248 c. M: 0.4921 c. 1204: 96 155 136 143 133 120 140 135 146 SP SD: 0.3030 c. M: 0.4925 c. 1304: 104 168 147 155 144 130 152 146 158 SP SD: 0.3010 c. M: 0.6296 c. 1309: 104 169 148 155 145 130 153 146 159 SP SD: 0.2913 c. M: 0.4897 c. 1318: 105 170 149 156 146 131 154 147 160 SP SD: 0.2876 c. M:-0.6411 c. 1346: 107 174 152 159 149 134 157 151 163 SP SD: 0.2680 c. M: 0.5453 c. 1355: 108 175 153 160 150 135 158 152 164 SP SD: 0.2965 c. M: 0.4790 c. 1384: 110 179 156 164 153 138 161 155 168 SP SD: 0.2335 c. M: 0.3374 c. 1409: 112 182 159 167 156 140 164 158 171 SP SD: 0.2538 c. M: 0.5912 c. 1418: 113 183 160 168 157 141 165 159 172 SP SD: 0.1909 c. M: 0.4365 c. 1509: 120 195 170 179 167 150 176 169 183 SP SD: 0.1749 c. M: 0.4440 c. 1518: 121 196 171 180 168 151 177 170 184 SP SD: 0.1677 c. M: 0.2912 c. 2036: 162 263 230 241 225 203 237 228 247 SP SD: 0.1578 c. M:-0.2868 c. 2061: 164 266 233 244 228 205 240 231 250 SP SD: 0.1436 c. M: 0.3382 c. 2070: 165 267 234 245 229 206 241 232 251 SP SD: 0.1643 c. M:-0.2783 c. 2127: 169 275 240 252 235 212 248 238 258 SP SD: 0.1548 c. M: 0.2985 c. 2136: 170 276 241 253 236 213 249 239 259 SP SD: 0.1499 c. M:-0.2570 c. 2152: 171 278 243 255 238 214 251 241 261 SP SD: 0.1297 c. M: 0.2849 c. 2161: 172 279 244 256 239 215 252 242 262 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 x x 3 x S SD: 5.2137 cents 2 x x 3 x 4 x 5:6:7 S SD: 14.4429 cents 3 x 4 x 5:6:7:8:9:10 S SD: 19.2458 cents 4 x 5:6:7:8:9:10:12:14 S SD: 12.3226 cents 5 x x 7:9:10:11:13:15:17 SD: 20.5033 cents 6:7:8:9:10:12:14:16:18:21 S SD: 16.2488 cents 7:8:9:10:12:14:16:18:21:24 S SD: 12.2390 cents 8:9:10:12:14:16:18:21:24:28 S SD: 8.5561 cents 10:11:13:15:17:20:23:26:30:35 SD: 5.7719 cents 16:18:21:24:28:32:36:42:48:56 S SD: 5.1361 cents 18:20:23:27:31:36:41:47:54:63 SD: 4.3897 cents 20:22:26:30:35:40:45:52:60:70 SD: 2.7315 cents 27:30:35:40:47:54:61:70:81:94 SD: 2.7310 cents 30:33:39:45:52:60:68:78:90:105 SD: 2.2867 cents 37:41:48:55:64:74:83:96:111:129 SD: 1.9396 cents 40:44:52:60:69:80:90:104:120:139 SD: 1.9133 cents 47:52:61:70:81:93:106:122:141:164 SD: 1.7282 cents 48:53:62:72:83:95:108:125:144:167 SD: 1.5793 cents 56:62:73:84:97:111:126:146:168:195 SD: 1.4694 cents 57:63:74:85:99:113:128:148:171:199 SD: 1.2665 cents 67:74:87:100:116:133:151:174:201:233 SD: 0.8545 cents 87:96:113:130:151:173:196:227:261:303 SD: 0.6993 cents 97:107:126:145:168:193:218:253:291:338 SD: 0.6624 cents 115:127:149:172:199:229:259:299:344:401 SD: 0.6421 cents 124:137:161:185:215:247:279:323:371:432 SD: 0.5411 cents 134:148:174:200:232:266:302:349:401:467 SD: 0.4829 cents 152:168:197:227:263:302:342:396:455:530 SD: 0.4399 cents 154:170:200:230:267:306:347:401:461:537 SD: 0.3905 cents 164:181:213:245:284:326:369:427:491:571 SD: 0.3095 cents 172:190:223:257:298:342:387:448:515:599 SD: 0.2379 cents 239:264:310:357:414:475:538:622:716:833 SD: 0.2046 cents 306:338:397:457:530:608:689:797:916:1066 SD: 0.1972 cents 326:360:423:487:565:648:734:849:976:1136 SD: 0.1585 cents 336:371:436:502:582:668:756:875:1006:1171 SD: 0.1552 cents 346:382:449:517:599:688:779:901:1036:1206 SD: 0.1505 cents 421:465:546:629:729:837:948:1096:1261:1467 SD: 0.1424 cents 433:478:562:647:750:861:975:1128:1297:1509 SD: 0.1407 cents 470:519:610:702:814:935:1058:1224:1408:1638 SD: 0.1386 cents 500:552:649:747:866:994:1126:1302:1497:1742 SD: 0.1350 cents 508:561:659:759:880:1010:1144:1323:1521:1770 SD: 0.0976 cents