Scala analysis: Thailand_Ranat_a
Ranat (Xylophone), 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
SHOW/INTERVAL
0: 225.0000 cents 225.0000 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
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 45.00000 cents 1: 1 129.00000 cents 1: 1 148.00000 cents 1: 1 218.00000 cents 1: 1 225.00000 cents 1: 1 231.00000 cents 1: 1 258.00000 cents 2: 1 263.00000 cents 2: 1 277.00000 cents 2: 1 303.00000 cents 2: 1 354.00000 cents 2: 1 379.00000 cents 2: 1 449.00000 cents 2: 1 483.00000 cents 3: 1 494.00000 cents 3: 1 502.00000 cents 3: 1 508.00000 cents 3: 1 521.00000 cents 3: 1 528.00000 cents 3: 1 597.00000 cents 3: 1 612.00000 cents 4: 1 642.00000 cents 4: 1 657.00000 cents 4: 1 726.00000 cents 4: 1 733.00000 cents 4: 1 746.00000 cents 4: 1 752.00000 cents 4: 1 760.00000 cents 5: 1 771.00000 cents 5: 1 805.00000 cents 5: 1 875.00000 cents 5: 1 900.00000 cents 5: 1 951.00000 cents 5: 1 977.00000 cents 5: 1 991.00000 cents 6: 1 996.00000 cents 6: 1 1023.00000 cents 6: 1 1029.00000 cents 6: 1 1036.00000 cents 6: 1 1106.00000 cents 6: 1 1125.00000 cents 6: 1 1209.00000 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 : 129.0 277.0 508.0 726.0 771.0 1029.0 1254.0 129.0 : 148.0 379.0 597.0 642.0 900.0 1125.0 1254.0 277.0 : 231.0 449.0 494.0 752.0 977.0 1106.0 1254.0 508.0 : 218.0 263.0 521.0 746.0 875.0 1023.0 1254.0 726.0 : 45.0 303.0 528.0 657.0 805.0 1036.0 1254.0 771.0 : 258.0 483.0 612.0 760.0 991.0 1209.0 1254.0 1029.0: 225.0 354.0 502.0 733.0 951.0 996.0 1254.0 1254.0
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: 263.0000 .. 483.0000 cents 220.00000 cents 5.00000 cents 3: 494.0000 .. 612.0000 cents 118.00000 cents 11.00000 cents 4: 642.0000 .. 760.0000 cents 118.00000 cents 30.00000 cents 5: 771.0000 .. 991.0000 cents 220.00000 cents 11.00000 cents 6: 996.0000 .. 1209.0000 cents 213.00000 cents 5.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 45.00000 cents, class 1 Average step (divided formal octave): 179.1429 cents Largest one step interval : 258.00000 cents Average / Smallest step : 3.980952 Largest / Average step : 1.440191 Largest / Smallest step : 5.733333 Median interval of one step : 218.00000 cents, amount: 1 Least squares average step : 170.84286 cents, oct.: 1195.90000 cents Scale is strictly proper Scale is a mode of a 1254-tone equal temperament with octave 1254.000 cents degrees: 129 277 508 726 771 1029 1254 Least number of segments generator : 629 of 629.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1193 of 1193.000 cents and inv. generated superset size: 454 = 447 more = 6485.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : BCFDAGE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.00000 cents Scale diversity : 1.594229 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.121212 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 : 5.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 4, average 496.7500 cents Number of appreciable fourths : 3, average 501.3333 cents Best fifths form a closed circle Best major thirds form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 1 1 1 0 2 1 N T3 SD: 46.5095 c. M:-81.2857 c. 8: 1 1 1 2 0 2 1 P D3 S SD: 40.8535 c. M:-68.2500 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 38.7462 c. M:-65.0000 c. Pseudo Pelog, Pelogic-7, Antiionian 10: 1 1 2 2 0 2 2 P D3 S SD: 18.7042 c. M:-26.4000 c. 17: 2 2 3 3 1 3 3 SP D3 S SD: 18.9802 c. M:-40.4118 c. Dastgah-e Shur 18: 2 2 3 3 1 4 3 P SD: 15.4051 c. M: 29.3333 c. 22: 2 3 4 4 1 4 4 P SD: 13.5066 c. M:-27.0000 c. 23: 2 3 4 4 1 5 4 P SD: 12.6516 c. M: 19.9565 c. 27: 3 3 5 5 1 5 5 SP D3 S SD: 10.7382 c. M:-18.5556 c. 28: 3 3 5 5 1 6 5 P SD: 8.5876 c. M: 15.3571 c. 33: 3 4 6 6 1 7 6 P SD: 9.9139 c. M: 15.0000 c. 36: 4 4 7 6 1 8 6 N SD: 9.4705 c. M:-16.0000 c. 37: 4 4 7 6 2 7 7 SP SD: 8.4827 c. M: 14.2703 c. 38: 4 4 7 7 1 8 7 P SD: 8.6767 c. M: 13.0000 c. 39: 4 5 7 7 1 8 7 P SD: 7.3587 c. M:-13.5385 c. 40: 4 5 7 7 2 8 7 SP SD: 6.5281 c. M:-12.7500 c. 41: 4 5 8 7 1 9 7 N SD: 7.6936 c. M:-11.9512 c. 45: 5 5 8 8 2 9 8 SP SD: 5.8896 c. M:-10.3333 c. 46: 5 5 9 8 1 10 8 N SD: 7.3645 c. M:-10.0435 c. 47: 5 5 9 8 2 10 8 P SD: 6.5132 c. M:-11.5532 c. 49: 5 6 9 8 2 10 9 P SD: 4.8395 c. M: 9.4286 c. 50: 5 6 9 9 2 10 9 SP SD: 3.7688 c. M:-6.4800 c. 57: 6 7 10 10 2 12 10 P SD: 4.1404 c. M:-9.0000 c. 59: 6 7 11 10 2 12 11 P SD: 4.3080 c. M: 8.7966 c. 60: 6 7 11 11 2 12 11 SP SD: 4.4970 c. M: 6.4000 c. 62: 6 8 11 11 2 13 11 P SD: 4.1174 c. M: 7.6452 c. 67: 7 8 12 12 2 14 12 P SD: 2.7773 c. M:-3.9403 c. 86: 9 10 16 15 3 18 15 P SD: 2.9915 c. M:-6.2791 c. 96: 10 11 18 17 3 20 17 P SD: 2.6967 c. M:-5.5000 c. 99: 10 12 18 17 4 20 18 SP SD: 2.3231 c. M: 4.0000 c. 109: 11 13 20 19 4 22 20 SP SD: 2.3132 c. M: 5.0917 c. 116: 12 14 21 20 4 24 21 P SD: 2.2703 c. M:-4.0690 c. 117: 12 14 21 21 4 24 21 SP SD: 2.0523 c. M: 4.2564 c. 119: 12 14 22 21 4 25 21 P SD: 2.3406 c. M:-3.7059 c. 128: 13 15 24 22 5 26 23 SP SD: 1.7677 c. M:-2.9531 c. 135: 14 16 25 23 5 28 24 P SD: 1.6317 c. M:-2.8889 c. 145: 15 17 27 25 5 30 26 P SD: 1.0400 c. M:-2.2483 c. 168: 17 20 31 29 6 35 30 P SD: 1.4663 c. M: 2.1786 c. 173: 18 20 32 30 6 36 31 P SD: 1.3830 c. M: 2.6532 c. 185: 19 22 34 32 7 38 33 SP SD: 0.9462 c. M:-1.7351 c. 195: 20 23 36 34 7 40 35 SP SD: 0.4342 c. M:-0.6923 c. 439: 45 52 81 76 16 90 79 SP SD: 0.4018 c. M: 0.6629 c. 447: 46 53 82 78 16 92 80 SP SD: 0.4615 c. M:-0.7315 c. 467: 48 55 86 81 17 96 84 SP SD: 0.5126 c. M: 0.9893 c. 475: 49 56 87 83 17 98 85 SP SD: 0.5069 c. M: 1.1200 c. 494: 51 58 91 86 18 101 89 SP SD: 0.4977 c. M: 0.9231 c. 496: 51 59 91 86 18 102 89 SP SD: 0.4513 c. M:-1.1048 c. 503: 52 59 93 87 18 104 90 SP SD: 0.5222 c. M: 0.6501 c. 506: 52 60 93 88 18 104 91 SP SD: 0.3152 c. M:-0.5652 c. 553: 57 65 102 96 20 114 99 SP SD: 0.2859 c. M:-0.5045 c. 620: 64 73 114 108 22 128 111 SP SD: 0.3229 c. M:-0.4935 c. 634: 65 75 117 110 23 130 114 SP SD: 0.3157 c. M: 0.4826 c. 662: 68 78 122 115 24 136 119 SP SD: 0.3309 c. M: 0.4985 c. 691: 71 82 127 120 25 142 124 SP SD: 0.2827 c. M:-0.6585 c. 698: 72 82 129 121 25 144 125 SP SD: 0.3188 c. M:-0.4298 c. 701: 72 83 129 122 25 144 126 SP SD: 0.2255 c. M: 0.3980 c. 748: 77 88 138 130 27 154 134 SP SD: 0.2133 c. M: 0.3824 c. 815: 84 96 150 142 29 168 146 SP SD: 0.2164 c. M:-0.3571 c. 864: 89 102 159 150 31 178 155 SP SD: 0.1960 c. M: 0.3125 c. 914: 94 108 168 159 33 188 164 SP SD: 0.1706 c. M: 0.3632 c. 1059: 109 125 195 184 38 218 190 SP SD: 0.0800 c. M: 0.1275 c. 1254: 129 148 231 218 45 258 225 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 54.0000 cents 2 x x x 3 x x 4 S SD: 29.5557 cents 3 x x 4 x 5 x 6 S SD: 41.9858 cents 4 x 5 x 6 x 7:8 S SD: 34.5186 cents 5 x 6:7 x 8:9:10 S SD: 21.8297 cents 6 x 7:8:9 x 11:12 SD: 12.8227 cents 7 x 8:9 x 11:13:14 SD: 22.1705 cents 8 x 9:11:12 x 15:17 SD: 23.5847 cents 9:10:11:12 x 14:16:19 SD: 17.1568 cents 10:11:12:13:15:16:18:21 SD: 13.6583 cents 11:12:13:15 x 17:20:23 SD: 8.0274 cents 12:13:14:16:18:19:22:25 SD: 6.6505 cents 13:14:15:17:20 x 24:27 SD: 10.9629 cents 14:15:16:19:21:22:25:29 SD: 9.0465 cents 15:16:18:20:23 x 27:31 SD: 7.8604 cents 16:17:19:21:24:25:29:33 SD: 7.7800 cents 17:18:20:23:26:27:31:35 SD: 6.8212 cents 21:23:25:28:32:33:38:43 SD: 6.1475 cents 23:25:27:31:35:36:42:47 SD: 4.0372 cents 24:26:28:32 x 37:43:50 SD: 6.2720 cents 25:27:29:34:38:39:45:52 SD: 5.2248 cents 27:29:32:36:41:42:49:56 SD: 3.3613 cents 35:38:41:47:53:55:63:72 SD: 3.3248 cents 36:39:42:48:55:56:65:74 SD: 3.0968 cents 39:42:46:52:59:61:71:80 SD: 3.0171 cents 41:44:48:55:62:64:74:85 SD: 2.3721 cents 50:54:59:67:76:78:91:103 SD: 1.9221 cents 52:56:61:70:79:81:94:107 SD: 1.4373 cents 64:69:75:86:97:100:116:132 SD: 1.1112 cents 91:98:107:122:138:142:165:188 SD: 0.9601 cents 105:113:123:141:160:164:190:217 SD: 0.9335 cents 117:126:137:157:178:183:212:241 SD: 0.8660 cents 126:136:148:169:192:197:228:260 SD: 0.8572 cents 127:137:149:170:193:198:230:262 SD: 0.6822 cents 132:142:155:177:201:206:239:272 SD: 0.6209 cents 144:155:169:193:219:225:261:297 SD: 0.3758 cents 219:236:257:294:333:342:397:452 SD: 0.3287 cents 271:292:318:363:412:423:491:559 SD: 0.3173 cents 282:304:331:378:429:440:511:582 SD: 0.2395 cents 346:373:406:464:526:540:627:714 SD: 0.2095 cents 399:430:468:535:607:623:723:823 SD: 0.1889 cents 426:459:500:571:648:665:772:879 SD: 0.1375 cents 478:515:561:641:727:746:866:986 SD: 0.1005 cents