Scala analysis: Thailand_Ranat_b
Ranat (Ranat Ek), Thailand
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 129.000 cents 129.000000 2: 277.000 cents 277.000000 3: 508.000 cents 508.000000 4: 726.000 cents 726.000000 5: 771.000 cents 771.000000 6: 1029.000 cents 1029.000000 7: 1254.000 cents 1254.000000 8: 1455.000 cents 1455.000000 9: 1558.000 cents 1558.000000
SHOW/INTERVAL
0: 103.0000 cents 103.0000 1: 129.0000 cents 129.0000 2: 148.0000 cents 148.0000 3: 231.0000 cents 231.0000 4: 218.0000 cents 218.0000 5: 45.0000 cents 45.0000 6: 258.0000 cents 258.0000 7: 225.0000 cents 225.0000 8: 201.0000 cents 201.0000 9: 103.0000 cents 103.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 45.00000 cents 1: 1 103.00000 cents 1: 1 129.00000 cents 1: 1 148.00000 cents 1: 1 201.00000 cents 1: 1 218.00000 cents 1: 1 225.00000 cents 1: 1 231.00000 cents 1: 1 258.00000 cents 2: 1 232.00000 cents 2: 1 263.00000 cents 2: 1 277.00000 cents 2: 1 303.00000 cents 2: 1 304.00000 cents 2: 1 379.00000 cents 2: 1 426.00000 cents 2: 1 449.00000 cents 2: 1 483.00000 cents 3: 1 380.00000 cents 3: 1 433.00000 cents 3: 1 494.00000 cents 3: 1 508.00000 cents 3: 1 521.00000 cents 3: 1 528.00000 cents 3: 1 529.00000 cents 3: 1 597.00000 cents 3: 1 684.00000 cents 4: 1 581.00000 cents 4: 1 611.00000 cents 4: 1 642.00000 cents 4: 1 658.00000 cents 4: 1 726.00000 cents 4: 1 729.00000 cents 4: 1 746.00000 cents 4: 1 752.00000 cents 4: 1 787.00000 cents 5: 1 771.00000 cents 5: 1 806.00000 cents 5: 1 812.00000 cents 5: 1 829.00000 cents 5: 1 832.00000 cents 5: 1 900.00000 cents 5: 1 916.00000 cents 5: 1 947.00000 cents 5: 1 977.00000 cents 6: 1 874.00000 cents 6: 1 961.00000 cents 6: 1 1029.00000 cents 6: 1 1030.00000 cents 6: 1 1037.00000 cents 6: 1 1050.00000 cents 6: 1 1064.00000 cents 6: 1 1125.00000 cents 6: 1 1178.00000 cents 7: 1 1075.00000 cents 7: 1 1109.00000 cents 7: 1 1132.00000 cents 7: 1 1179.00000 cents 7: 1 1254.00000 cents 7: 1 1255.00000 cents 7: 1 1281.00000 cents 7: 1 1295.00000 cents 7: 1 1326.00000 cents 8: 1 1300.00000 cents 8: 1 1327.00000 cents 8: 1 1333.00000 cents 8: 1 1340.00000 cents 8: 1 1357.00000 cents 8: 1 1410.00000 cents 8: 1 1429.00000 cents 8: 1 1455.00000 cents 8: 1 1513.00000 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 : 129.0 277.0 508.0 726.0 771.0 1029.0 1254.0 1455.0 1558.0 129.0 : 148.0 379.0 597.0 642.0 900.0 1125.0 1326.0 1429.0 1558.0 277.0 : 231.0 449.0 494.0 752.0 977.0 1178.0 1281.0 1410.0 1558.0 508.0 : 218.0 263.0 521.0 746.0 947.0 1050.0 1179.0 1327.0 1558.0 726.0 : 45.0 303.0 528.0 729.0 832.0 961.0 1109.0 1340.0 1558.0 771.0 : 258.0 483.0 684.0 787.0 916.0 1064.0 1295.0 1513.0 1558.0 1029.0: 225.0 426.0 529.0 658.0 806.0 1037.0 1255.0 1300.0 1558.0 1254.0: 201.0 304.0 433.0 581.0 812.0 1030.0 1075.0 1333.0 1558.0 1455.0: 103.0 232.0 380.0 611.0 829.0 874.0 1132.0 1357.0 1558.0 1558.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 45.0000 .. 258.0000 cents 213.00000 cents 45.00000 cents 2: 232.0000 .. 483.0000 cents 251.00000 cents -26.00000 cents 3: 380.0000 .. 684.0000 cents 304.00000 cents -103.00000 cents 4: 581.0000 .. 787.0000 cents 206.00000 cents -103.00000 cents 5: 771.0000 .. 977.0000 cents 206.00000 cents -16.00000 cents 6: 874.0000 .. 1178.0000 cents 304.00000 cents -103.00000 cents 7: 1075.0000 .. 1326.0000 cents 251.00000 cents -103.00000 cents 8: 1300.0000 .. 1513.0000 cents 213.00000 cents -26.00000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 45.00000 cents, class 1 Average step (divided formal octave): 173.1111 cents Largest one step interval : 258.00000 cents Average / Smallest step : 3.846914 Largest / Average step : 1.490372 Largest / Smallest step : 5.733333 Median interval of one step : 201.00000 cents, amount: 1 Least squares average step : 173.96491 cents, oct.: 1565.68421 cents Scale is not proper Scale is a mode of a 1558-tone equal temperament with octave 1558.000 cents degrees: 129 277 508 726 771 1029 1254 1455 1558 Least number of segments generator : 781 of 781.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 797 of 797.000 cents and inv. generated superset size: 619 = 610 more = 6877.778% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGHI Step pattern size order : CDHFAIGEB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.00000 cents Scale diversity : 0.929360 Lumma stability : 0.057766 Lumma impropriety factor : 0.308087 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 : 0 Number of recognisable fourths : 3, average 495.0000 cents Number of appreciable fourths : 2, average 501.0000 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 0 2 1 1 1 N T3 SD: 48.2524 c. M: 78.5556 c. 10: 1 1 1 2 0 2 1 1 1 P D3 I SD: 38.1181 c. M:-61.6000 c. 11: 1 1 1 2 0 2 2 1 1 N T3 SD: 40.4128 c. M: 83.0909 c. 12: 1 1 2 2 0 2 2 1 1 N T3 I SD: 25.9947 c. M:-53.0000 c. 15: 1 2 2 2 0 3 2 2 1 N SD: 21.1884 c. M: 43.9333 c. 18: 1 2 3 2 1 3 2 3 1 N SD: 24.8707 c. M: 42.4444 c. 21: 2 2 3 3 1 3 3 3 1 N SD: 21.4915 c. M:-45.0952 c. 22: 2 2 3 3 1 4 3 3 1 N SD: 19.1587 c. M:-33.2727 c. 24: 2 2 4 3 1 4 3 3 2 N SD: 14.4250 c. M: 26.8333 c. 27: 2 3 4 4 0 5 4 3 2 N SD: 14.7229 c. M:-24.1481 c. 28: 2 3 4 4 1 4 4 4 2 N SD: 15.4587 c. M: 29.8571 c. 29: 2 3 4 4 1 5 4 4 2 N SD: 17.2405 c. M: 27.5862 c. 30: 2 3 5 4 1 5 4 4 2 N SD: 11.9148 c. M: 25.1333 c. 33: 3 3 5 4 1 6 5 4 2 N SD: 12.8457 c. M:-20.7273 c. 34: 3 3 5 5 1 5 5 5 2 N SD: 10.8169 c. M: 20.8824 c. 35: 3 3 5 5 1 6 5 5 2 N SD: 11.1953 c. M: 18.3429 c. 36: 3 4 5 5 1 6 5 5 2 N SD: 12.1370 c. M:-25.9444 c. 39: 3 4 6 5 1 7 5 5 3 N SD: 10.7020 c. M: 16.8462 c. 41: 3 4 6 6 1 7 6 5 3 N SD: 9.4810 c. M: 15.0000 c. 45: 4 4 7 6 1 8 6 6 3 N SD: 7.1358 c. M:-11.3333 c. 47: 4 4 7 7 1 8 7 6 3 N SD: 6.6592 c. M: 11.8085 c. 50: 4 5 7 7 2 8 7 7 3 N SD: 6.8291 c. M:-9.5200 c. 56: 5 5 8 8 2 9 8 7 4 N SD: 5.7698 c. M:-10.1071 c. 58: 5 5 9 8 2 9 9 7 4 N SD: 6.0447 c. M:-8.5172 c. 61: 5 6 9 8 2 10 9 8 4 N SD: 5.0206 c. M: 10.8525 c. 62: 5 6 9 9 2 10 9 8 4 N SD: 3.7465 c. M:-8.0000 c. 73: 6 7 11 10 2 12 11 9 5 N SD: 3.1243 c. M:-5.2055 c. 107: 9 10 16 15 3 18 15 14 7 N SD: 2.0842 c. M:-4.8131 c. 111: 9 11 16 16 3 18 16 15 7 N SD: 3.4782 c. M: 4.7928 c. 117: 10 11 17 17 3 19 17 15 8 N SD: 3.3641 c. M:-6.3932 c. 118: 10 11 17 17 3 20 17 15 8 N SD: 3.0454 c. M: 6.2712 c. 123: 10 12 18 17 4 20 18 16 8 N SD: 2.1228 c. M: 4.0000 c. 135: 11 13 20 19 4 22 20 17 9 N SD: 1.8305 c. M:-3.9407 c. 148: 12 14 22 21 4 25 21 19 10 N SD: 2.2527 c. M: 3.2973 c. 153: 13 14 23 21 5 25 22 20 10 N SD: 2.0638 c. M:-3.3791 c. 165: 14 15 25 23 5 27 24 21 11 N SD: 2.1058 c. M:-3.2788 c. 168: 14 16 25 23 5 28 24 22 11 N SD: 1.5016 c. M: 2.6429 c. 180: 15 17 27 25 5 30 26 23 12 N SD: 1.1700 c. M:-2.6778 c. 214: 18 20 32 30 6 35 31 28 14 N SD: 1.5641 c. M: 2.4673 c. 215: 18 20 32 30 6 36 31 28 14 N SD: 1.4088 c. M: 2.8698 c. 226: 19 21 34 31 7 37 33 29 15 N SD: 1.4856 c. M: 2.1504 c. 230: 19 22 34 32 7 38 33 30 15 N SD: 0.8542 c. M:-1.3913 c. 242: 20 23 36 34 7 40 35 31 16 N SD: 0.9601 c. M:-1.5620 c. 303: 25 29 45 42 9 50 44 39 20 N SD: 0.6332 c. M:-1.0495 c. 410: 34 39 61 57 12 68 59 53 27 N SD: 0.5416 c. M:-1.2000 c. 457: 38 43 68 64 13 76 66 59 30 N SD: 0.5299 c. M: 0.8556 c. 528: 44 50 78 74 15 88 76 68 35 N SD: 0.5309 c. M: 0.8523 c. 580: 48 55 86 81 17 96 84 75 38 N SD: 0.4505 c. M:-0.9241 c. 625: 52 59 93 87 18 104 90 81 41 N SD: 0.5341 c. M:-0.7952 c. 631: 52 60 94 88 18 105 91 81 42 N SD: 0.5123 c. M: 0.7021 c. 651: 54 62 96 91 19 108 94 84 43 N SD: 0.4367 c. M: 0.8479 c. 663: 55 63 98 93 19 110 96 85 44 N SD: 0.3877 c. M:-0.8597 c. 665: 55 63 99 93 19 110 96 86 44 N SD: 0.3600 c. M: 0.5714 c. 727: 60 69 108 102 21 120 105 94 48 N SD: 0.3657 c. M: 0.5461 c. 760: 63 72 113 106 22 126 110 98 50 N SD: 0.3325 c. M:-0.6000 c. 798: 66 76 118 112 23 132 115 103 53 N SD: 0.3167 c. M: 0.5714 c. 831: 69 79 123 116 24 138 120 107 55 N SD: 0.3199 c. M:-0.4777 c. 893: 74 85 132 125 26 148 129 115 59 N SD: 0.2681 c. M:-0.4255 c. 978: 81 93 145 137 28 162 141 126 65 N SD: 0.2672 c. M: 0.5481 c. 1013: 84 96 150 142 29 168 146 131 67 N SD: 0.2925 c. M: 0.5252 c. 1030: 85 98 153 144 30 170 149 133 68 N SD: 0.2722 c. M:-0.4369 c. 1073: 89 102 159 150 31 178 155 138 71 N SD: 0.2820 c. M:-0.5312 c. 1075: 89 102 160 150 31 178 155 139 71 N SD: 0.2742 c. M:-0.7051 c. 1086: 90 103 161 152 31 180 157 140 72 N SD: 0.2729 c. M: 0.6077 c. 1101: 91 105 163 154 32 182 159 142 73 N SD: 0.2200 c. M:-0.3551 c. 1107: 92 105 164 155 32 183 160 143 73 N SD: 0.2410 c. M:-0.4815 c. 1148: 95 109 170 161 33 190 166 148 76 N SD: 0.1934 c. M: 0.4286 c. 1255: 104 119 186 176 36 208 181 162 83 N SD: 0.1529 c. M: 0.2534 c. 1316: 109 125 195 184 38 218 190 170 87 N SD: 0.1765 c. M: 0.2872 c. 1328: 110 126 197 186 38 220 192 171 88 N SD: 0.1479 c. M: 0.2410 c. 1451: 120 138 215 203 42 240 210 187 96 N SD: 0.1537 c. M: 0.3549 c. 1485: 123 141 220 208 43 246 214 192 98 N SD: 0.1536 c. M: 0.2559 c. 1558: 129 148 231 218 45 258 225 201 103 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 x x S SD: 54.0000 cents 2 x x x 3 x x 4 x 5 S SD: 21.8475 cents 3 x x 4 x 5 x 6:7 x S SD: 31.6289 cents 4 x 5 x 6 x 7:8:9:10 S SD: 24.9869 cents 5 x 6:7 x 8:9:10 x 12 S SD: 19.5133 cents 6 x 7:8:9 x 11:12:14:15 SD: 10.1550 cents 7 x 8:9 x 11:13:14:16:17 SD: 16.4963 cents 8 x 9:11:12 x 15:17:19:20 SD: 18.3587 cents 9:10:11:12 x 14:16:19:21:22 SD: 13.0204 cents 10:11:12:13:15:16:18:21:23:25 SD: 11.1735 cents 11:12:13:15 x 17:20:23:25:27 SD: 7.3599 cents 12:13:14:16:18:19:22:25:28:30 SD: 6.1962 cents 13:14:15:17:20 x 24:27:30:32 SD: 8.2741 cents 14:15:16:19:21:22:25:29:32:34 SD: 7.9007 cents 15:16:18:20:23 x 27:31:35:37 SD: 6.1122 cents 17:18:20:23:26:27:31:35:39:42 SD: 5.7160 cents 21:23:25:28:32:33:38:43:49:52 SD: 5.1289 cents 23:25:27:31:35:36:42:47:53:57 SD: 3.6314 cents 24:26:28:32 x 37:43:50:56:59 SD: 4.9334 cents 25:27:29:34:38:39:45:52:58:61 SD: 4.3466 cents 27:29:32:36:41:42:49:56:63:66 SD: 3.1559 cents 29:31:34:39:44:45:53:60:67:71 SD: 2.8763 cents 35:38:41:47:53:55:63:72:81:86 SD: 2.6050 cents 38:41:45:51:58:59:69:78:88:93 SD: 2.6028 cents 39:42:46:52:59:61:71:80:90:96 SD: 2.4867 cents 41:44:48:55:62:64:74:85:95:101 SD: 1.8710 cents 50:54:59:67:76:78:91:103:116:123 SD: 1.5112 cents 52:56:61:70:79:81:94:107:121:128 SD: 1.3785 cents 64:69:75:86:97:100:116:132:148:157 SD: 1.0757 cents 79:85:93:106:120:123:143:163:183:194 SD: 0.9410 cents 91:98:107:122:138:142:165:188:211:224 SD: 0.7719 cents 117:126:137:157:178:183:212:241:271:288 SD: 0.6997 cents 126:136:148:169:192:197:228:260:292:310 SD: 0.6702 cents 127:137:149:170:193:198:230:262:294:312 SD: 0.6071 cents 132:142:155:177:201:206:239:272:306:325 SD: 0.5303 cents 144:155:169:193:219:225:261:297:334:354 SD: 0.3494 cents 155:167:182:208:236:242:281:320:359:381 SD: 0.3424 cents 196:211:230:263:298:306:355:404:454:482 SD: 0.3075 cents 255:275:299:342:388:398:462:526:591:627 SD: 0.2737 cents 282:304:331:378:429:440:511:582:654:694 SD: 0.2658 cents 299:322:351:401:455:467:542:617:693:735 SD: 0.2208 cents 334:360:392:448:508:521:605:689:774:821 SD: 0.2155 cents 346:373:406:464:526:540:627:714:802:851 SD: 0.1690 cents 426:459:500:571:648:665:772:879:987:1048 SD: 0.1251 cents 478:515:561:641:727:746:866:986:1108:1176 SD: 0.1121 cents 595:641:698:798:905:929:1078:1228:1379:1463 SD: 0.1078 cents