Scala analysis: Thailand_Takhay
Tak'hay (Xylophone), Thailand
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 198.000 cents 198.000000 2: 362.000 cents 362.000000 3: 528.000 cents 528.000000 4: 720.000 cents 720.000000 5: 890.000 cents 890.000000 6: 1080.000 cents 1080.000000 7: 1250.000 cents 1250.000000
SHOW/INTERVAL
0: 170.0000 cents 170.0000 1: 198.0000 cents 198.0000 2: 164.0000 cents 164.0000 3: 166.0000 cents 166.0000 4: 192.0000 cents 192.0000 5: 170.0000 cents 170.0000 6: 190.0000 cents 190.0000 7: 170.0000 cents 170.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 164.00000 cents 1: 1 166.00000 cents 1: 2 170.00000 cents 1: 1 190.00000 cents 1: 1 192.00000 cents 1: 1 198.00000 cents 2: 1 330.00000 cents 2: 1 358.00000 cents 2: 2 360.00000 cents 2: 2 362.00000 cents 2: 1 368.00000 cents 3: 1 522.00000 cents 3: 2 528.00000 cents 3: 1 530.00000 cents 3: 1 532.00000 cents 3: 1 552.00000 cents 3: 1 558.00000 cents 4: 1 692.00000 cents 4: 1 698.00000 cents 4: 1 718.00000 cents 4: 1 720.00000 cents 4: 2 722.00000 cents 4: 1 728.00000 cents 5: 1 882.00000 cents 5: 2 888.00000 cents 5: 2 890.00000 cents 5: 1 892.00000 cents 5: 1 920.00000 cents 6: 1 1052.00000 cents 6: 1 1058.00000 cents 6: 1 1060.00000 cents 6: 2 1080.00000 cents 6: 1 1084.00000 cents 6: 1 1086.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.66667 = 17/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 198.0 362.0 528.0 720.0 890.0 1080.0 1250.0 198.0 : 164.0 330.0 522.0 692.0 882.0 1052.0 1250.0 362.0 : 166.0 358.0 528.0 718.0 888.0 1086.0 1250.0 528.0 : 192.0 362.0 552.0 722.0 920.0 1084.0 1250.0 720.0 : 170.0 360.0 530.0 728.0 892.0 1058.0 1250.0 890.0 : 190.0 360.0 558.0 722.0 888.0 1080.0 1250.0 1080.0: 170.0 368.0 532.0 698.0 890.0 1060.0 1250.0 1250.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 164.0000 .. 198.0000 cents 34.00000 cents 164.00000 cents 2: 330.0000 .. 368.0000 cents 38.00000 cents 132.00000 cents 3: 522.0000 .. 558.0000 cents 36.00000 cents 154.00000 cents 4: 692.0000 .. 728.0000 cents 36.00000 cents 134.00000 cents 5: 882.0000 .. 920.0000 cents 38.00000 cents 154.00000 cents 6: 1052.0000 .. 1086.0000 cents 34.00000 cents 132.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 164.00000 cents, class 1 Average step (divided formal octave): 178.5714 cents Largest one step interval : 198.00000 cents Average / Smallest step : 1.088850 Largest / Average step : 1.108800 Largest / Smallest step : 1.207317 Median interval of one step : 170.00000 cents, amount: 2 Most common interval of one step : 170.00000 cents, amount: 2 Least squares average step : 179.04286 cents, oct.: 1253.30000 cents Scale is strictly proper Scale is a mode of a 625-tone equal temperament with octave 1250.000 cents degrees: 99 181 264 360 445 540 625 Least number of segments generator : 313 of 626.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 357 of 714.000 cents and inv. generated superset size: 96 = 89 more = 1371.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFE Step pattern size order : FABECDC Scale is a Constant Structure, by a margin of 132.00000 cents Scale diversity : 1.118171 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.827200 Rothenberg efficiency : 0.340136 redundancy: 0.659864 Efficiency x scale size : 2.380952 Number of different interval sizes : 34 = 5.66667 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 5.66667 = 17/3 Median interval variety : 5.5 Lowest interval variety : 5 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 4, average 707.0000 cents Number of appreciable fifths : 2, average 695.0000 cents Number of recognisable fourths : 0 Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 34.0000 cents: 4 6 Limited inverse transpositions with margin 34.0000 cents: 4 5 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 9.0621 c. M: 19.4286 c. Lebeng 24: 4 3 3 4 3 4 3 SP M ME S SD: 8.0968 c. M:-13.7500 c. Neutral Lydian, Iced Major 31: 5 4 4 5 4 5 4 SP M ME S SD: 4.5726 c. M:-8.7097 c. Neutral Lydian, Dicot-7 38: 6 5 5 6 5 6 5 SP M ME S SD: 2.6930 c. M:-5.5263 c. 45: 7 6 6 7 6 7 6 SP M ME S SD: 2.0964 c. M: 3.5556 c. 111: 18 14 15 17 15 17 15 SP SD: 2.0092 c. M:-4.7027 c. 118: 19 15 16 18 16 18 16 SP SD: 1.5681 c. M:-3.2712 c. 125: 20 16 17 19 17 19 17 SP SD: 1.3093 c. M:-2.0000 c. 132: 21 17 18 20 18 20 18 SP SD: 1.2536 c. M:-2.3030 c. 156: 25 20 21 24 21 24 21 SP SD: 1.3515 c. M:-2.3205 c. 163: 26 21 22 25 22 25 22 SP SD: 1.0871 c. M: 1.5706 c. 170: 27 22 23 26 23 26 23 SP SD: 0.9558 c. M: 1.7059 c. 215: 34 28 29 33 29 33 29 SP SD: 0.9736 c. M: 1.5349 c. 258: 41 34 34 40 35 39 35 SP SD: 1.0866 c. M:-1.8992 c. 260: 41 34 35 40 35 40 35 SP SD: 1.0812 c. M:-1.7308 c. 265: 42 35 35 41 36 40 36 SP SD: 0.9827 c. M:-1.6981 c. 267: 42 35 36 41 36 41 36 SP SD: 1.1046 c. M: 1.5131 c. 272: 43 36 36 42 37 41 37 SP SD: 0.9379 c. M:-1.5441 c. 308: 49 40 41 47 42 47 42 SP SD: 0.9210 c. M: 1.6558 c. 310: 49 41 41 48 42 47 42 SP SD: 0.9166 c. M:-1.7742 c. 315: 50 41 42 48 43 48 43 SP SD: 0.9021 c. M: 1.7460 c. 317: 50 42 42 49 43 48 43 SP SD: 0.8948 c. M:-1.6088 c. 322: 51 42 43 49 44 49 44 SP SD: 0.9268 c. M: 1.8323 c. 324: 51 43 43 50 44 49 44 SP SD: 0.9168 c. M:-1.4506 c. 338: 54 44 45 52 46 51 46 SP SD: 0.9831 c. M:-1.7041 c. 339: 54 44 45 52 46 52 46 SP SD: 0.8538 c. M: 1.3569 c. 345: 55 45 46 53 47 52 47 SP SD: 0.8875 c. M:-1.3043 c. 346: 55 45 46 53 47 53 47 SP SD: 0.7669 c. M: 1.2717 c. 353: 56 46 47 54 48 54 48 SP SD: 0.7227 c. M: 1.1898 c. 358: 57 47 47 55 49 54 49 SP SD: 0.8238 c. M:-1.1285 c. 359: 57 47 48 55 49 54 49 SP SD: 0.8101 c. M:-1.3649 c. 360: 57 47 48 55 49 55 49 SP SD: 0.7234 c. M: 1.2500 c. 367: 58 48 49 56 50 56 50 SP SD: 0.7639 c. M: 1.3351 c. 372: 59 49 49 57 51 56 51 SP SD: 0.7562 c. M: 1.3710 c. 383: 61 50 51 59 52 58 52 SP SD: 0.7997 c. M:-1.2794 c. 384: 61 50 51 59 52 59 52 SP SD: 0.7425 c. M: 1.3281 c. 390: 62 51 52 60 53 59 53 SP SD: 0.7234 c. M:-1.1538 c. 391: 62 51 52 60 53 60 53 SP SD: 0.6785 c. M: 1.2532 c. 396: 63 52 52 61 54 60 54 SP SD: 0.6331 c. M:-1.0051 c. 403: 64 53 53 62 55 61 55 SP SD: 0.5510 c. M:-0.9032 c. 410: 65 54 54 63 56 62 56 SP SD: 0.5105 c. M:-0.8049 c. 441: 70 58 58 68 60 67 60 SP SD: 0.4566 c. M:-0.8118 c. 448: 71 59 59 69 61 68 61 SP SD: 0.3830 c. M:-0.7232 c. 455: 72 60 60 70 62 69 62 SP SD: 0.3571 c. M:-0.6374 c. 462: 73 61 61 71 63 70 63 SP SD: 0.3836 c. M:-0.5541 c. 493: 78 65 65 76 67 75 67 SP SD: 0.3356 c. M: 0.6166 c. 500: 79 66 66 77 68 76 68 SP SD: 0.3273 c. M: 0.5000 c. 566: 90 74 75 87 77 86 77 SP SD: 0.3055 c. M:-0.7633 c. 573: 91 75 76 88 78 87 78 SP SD: 0.2164 c. M:-0.5166 c. 580: 92 76 77 89 79 88 79 SP SD: 0.1627 c. M:-0.2759 c. 618: 98 81 82 95 84 94 84 SP SD: 0.1026 c. M:-0.2201 c. 625: 99 82 83 96 85 95 85 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 50.0000 cents 2 x x x 3 x x 4 S SD: 26.5783 cents 3 x x 4 x 5 x 6 S SD: 19.5196 cents 4 x 5 x 6:7 x 8 S SD: 24.5335 cents 5 x 6:7 x 8:9:10 S SD: 26.3353 cents 6:7 x 8:9:10:11:12 S SD: 16.1903 cents 8:9:10:11:12:13:15:16 SD: 11.5275 cents 9:10:11:12:14:15:17:19 SD: 10.8297 cents 13:15:16:18:20:22:24:27 SD: 10.5073 cents 14:16:17:19:21:23:26:29 SD: 8.0986 cents 16:18:20:22:24:27:30:33 S SD: 6.1049 cents 17:19:21:23:26:28:32:35 SD: 4.9853 cents 25:28:31:34:38:42:47:51 SD: 3.5958 cents 31:35:38:42:47:52:58:64 SD: 2.5472 cents 39:44:48:53:59:65:73:80 SD: 2.2220 cents 48:54:59:65:73:80:90:99 SD: 2.0822 cents 51:57:63:69:77:85:95:105 SD: 1.7689 cents 64:72:79:87:97:107:119:132 SD: 1.4519 cents 68:76:84:92:103:114:127:140 SD: 1.3556 cents 73:82:90:99:111:122:136:150 SD: 1.1131 cents 82:92:101:111:124:137:153:169 SD: 0.8961 cents 107:120:132:145:162:179:200:220 SD: 0.6885 cents 134:150:165:182:203:224:250:276 SD: 0.5821 cents 155:174:191:210:235:259:289:319 SD: 0.5331 cents 171:192:211:232:259:286:319:352 SD: 0.4963 cents 180:202:222:244:273:301:336:371 SD: 0.4854 cents 207:232:255:281:314:346:386:426 SD: 0.3676 cents 241:270:297:327:365:403:450:496 SD: 0.3206 cents 275:308:339:373:417:460:513:566 SD: 0.3129 cents 289:324:356:392:438:483:539:595 SD: 0.2398 cents 305:342:376:414:462:510:569:628 SD: 0.2328 cents 314:352:387:426:476:525:586:646 SD: 0.1652 cents 494:554:609:670:749:826:922:1017 SD: 0.1340 cents