Scala analysis: Thailand_Thai_01
Thai 1, Thailand
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 182.000 cents 182.000000 2: 344.000 cents 344.000000 3: 522.000 cents 522.000000 4: 687.000 cents 687.000000 5: 865.000 cents 865.000000 6: 1037.000 cents 1037.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 163.0000 cents 163.0000 1: 182.0000 cents 182.0000 2: 162.0000 cents 162.0000 3: 178.0000 cents 178.0000 4: 165.0000 cents 165.0000 5: 178.0000 cents 178.0000 6: 172.0000 cents 172.0000 7: 163.0000 cents 163.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 162.00000 cents 1: 1 163.00000 cents 1: 1 165.00000 cents 1: 1 172.00000 cents 1: 2 178.00000 cents 1: 1 182.00000 cents 2: 1 335.00000 cents 2: 1 340.00000 cents 2: 2 343.00000 cents 2: 1 344.00000 cents 2: 1 345.00000 cents 2: 1 350.00000 cents 3: 1 505.00000 cents 3: 1 507.00000 cents 3: 1 513.00000 cents 3: 1 515.00000 cents 3: 1 517.00000 cents 3: 1 521.00000 cents 3: 1 522.00000 cents 4: 1 678.00000 cents 4: 1 679.00000 cents 4: 1 683.00000 cents 4: 1 685.00000 cents 4: 1 687.00000 cents 4: 1 693.00000 cents 4: 1 695.00000 cents 5: 1 850.00000 cents 5: 1 855.00000 cents 5: 1 856.00000 cents 5: 2 857.00000 cents 5: 1 860.00000 cents 5: 1 865.00000 cents 6: 1 1018.00000 cents 6: 2 1022.00000 cents 6: 1 1028.00000 cents 6: 1 1035.00000 cents 6: 1 1037.00000 cents 6: 1 1038.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.33333 = 19/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 182.0 344.0 522.0 687.0 865.0 1037.0 1200.0 182.0 : 162.0 340.0 505.0 683.0 855.0 1018.0 1200.0 344.0 : 178.0 343.0 521.0 693.0 856.0 1038.0 1200.0 522.0 : 165.0 343.0 515.0 678.0 860.0 1022.0 1200.0 687.0 : 178.0 350.0 513.0 695.0 857.0 1035.0 1200.0 865.0 : 172.0 335.0 517.0 679.0 857.0 1022.0 1200.0 1037.0: 163.0 345.0 507.0 685.0 850.0 1028.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 162.0000 .. 182.0000 cents 20.00000 cents 162.00000 cents 2: 335.0000 .. 350.0000 cents 15.00000 cents 153.00000 cents 3: 505.0000 .. 522.0000 cents 17.00000 cents 155.00000 cents 4: 678.0000 .. 695.0000 cents 17.00000 cents 156.00000 cents 5: 850.0000 .. 865.0000 cents 15.00000 cents 155.00000 cents 6: 1018.0000 .. 1038.0000 cents 20.00000 cents 153.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 162.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 182.00000 cents Average / Smallest step : 1.058201 Largest / Average step : 1.061667 Largest / Smallest step : 1.123457 Median interval of one step : 172.00000 cents, amount: 1 Most common interval of one step : 178.00000 cents, amount: 2 Least squares average step : 172.36429 cents, oct.: 1206.55000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 182 344 522 687 865 1037 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 857 of 857.000 cents and inv. generated superset size: 75 = 68 more = 1071.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDCEF Step pattern size order : FAECEDB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 153.00000 cents Scale diversity : 1.091519 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.913333 Rothenberg efficiency : 0.312925 redundancy: 0.687075 Efficiency x scale size : 2.190476 Number of different interval sizes : 38 = 6.33333 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.33333 = 19/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 3, average 691.6667 cents Number of appreciable fifths : 2, average 694.0000 cents 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% Limited transpositions with margin 20.0000 cents: 1 2 3 4 5 6 Limited inverse transpositions with margin 20.0000 cents: 1 2 3 4 5 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 6.6225 c. M: 10.5714 c. Lebeng 39: 6 5 6 5 6 6 5 SP M ME S SD: 5.8063 c. M: 10.0769 c. Amity-7 46: 7 6 7 6 7 7 6 SP M ME S SD: 4.7742 c. M: 8.7391 c. Amity-7 53: 8 7 8 7 8 8 7 SP M ME S SD: 4.1970 c. M: 7.7547 c. Amity-7 57: 9 7 9 8 8 8 8 SP D3 S SD: 5.5852 c. M:-7.7368 c. 58: 9 8 8 8 9 8 8 SP M ME S SD: 4.4730 c. M:-7.7241 c. 59: 9 8 9 8 9 8 8 SP M ME S SD: 4.8241 c. M:-9.5763 c. 60: 9 8 9 8 9 9 8 SP M ME S SD: 3.9097 c. M: 7.0000 c. Amity-7 64: 10 8 10 9 9 9 9 SP D3 S SD: 4.8752 c. M:-6.7500 c. 65: 10 9 9 9 10 9 9 SP M ME S SD: 3.9825 c. M:-6.7692 c. 66: 10 9 10 9 10 9 9 SP M ME S SD: 3.8794 c. M:-7.7273 c. 67: 10 9 10 9 10 10 9 SP M ME S SD: 3.8016 c. M: 6.4030 c. 71: 11 9 11 10 10 10 10 SP D3 S SD: 4.4014 c. M: 6.0141 c. 72: 11 10 10 10 11 10 10 SP M ME S SD: 3.7011 c. M:-6.0000 c. 73: 11 10 11 10 11 10 10 SP M ME S SD: 3.1951 c. M:-6.2329 c. 74: 11 10 11 10 11 11 10 SP M ME S SD: 3.7987 c. M: 5.9189 c. 79: 12 11 11 11 12 11 11 SP M ME S SD: 3.5649 c. M: 5.5443 c. 80: 12 11 12 11 12 11 11 SP M ME S SD: 2.7255 c. M:-5.0000 c. 87: 13 12 13 12 13 12 12 SP M ME S SD: 2.4378 c. M:-3.9655 c. 94: 14 13 14 13 14 13 13 SP M ME S SD: 2.2995 c. M: 3.2766 c. 101: 15 14 15 14 15 14 14 SP M ME S SD: 2.2742 c. M: 3.7822 c. 105: 16 14 16 14 16 15 14 SP T3 SD: 2.3678 c. M:-3.7143 c. 108: 16 15 16 15 16 15 15 SP M ME S SD: 2.3258 c. M: 4.2222 c. 112: 17 15 17 15 17 16 15 SP T3 SD: 1.9037 c. M:-3.0000 c. 119: 18 16 18 16 18 17 16 SP T3 SD: 1.5359 c. M:-2.3697 c. 126: 19 17 19 17 19 18 17 SP T3 SD: 1.2710 c. M:-1.8095 c. 133: 20 18 20 18 20 19 18 SP T3 SD: 1.1200 c. M: 1.5489 c. 140: 21 19 21 19 21 20 19 SP T3 SD: 1.0839 c. M: 2.0000 c. 147: 22 20 22 20 22 21 20 SP T3 SD: 1.1417 c. M: 2.4082 c. 154: 23 21 23 21 23 22 21 SP T3 SD: 1.2592 c. M: 2.7792 c. 198: 30 27 29 27 30 28 27 SP SD: 1.2295 c. M: 2.1515 c. 205: 31 28 30 28 31 29 28 SP SD: 1.2142 c. M: 2.1220 c. 216: 33 29 32 30 32 31 29 SP SD: 1.3059 c. M:-1.8889 c. 219: 33 30 32 30 33 31 30 SP SD: 1.2934 c. M: 2.0685 c. 223: 34 30 33 31 33 32 30 SP SD: 1.1083 c. M:-1.7892 c. 230: 35 31 34 32 34 33 31 SP SD: 0.9416 c. M:-1.6957 c. 237: 36 32 35 33 35 34 32 SP SD: 0.8117 c. M:-1.6076 c. 244: 37 33 36 34 36 35 33 SP SD: 0.7265 c. M:-1.5246 c. 251: 38 34 37 35 37 36 34 SP SD: 0.6915 c. M:-1.4462 c. 258: 39 35 38 36 38 37 35 SP SD: 0.7055 c. M:-1.3721 c. 265: 40 36 39 37 39 38 36 SP SD: 0.7588 c. M:-1.3019 c. 290: 44 39 43 40 43 42 39 SP SD: 0.6930 c. M:-1.6207 c. 297: 45 40 44 41 44 43 40 SP SD: 0.6580 c. M:-1.3838 c. 304: 46 41 45 42 45 44 41 SP SD: 0.6604 c. M:-1.1579 c. 311: 47 42 46 43 46 45 42 SP SD: 0.6949 c. M: 1.0997 c. 363: 55 49 54 50 54 52 49 SP SD: 0.6339 c. M:-1.1157 c. 370: 56 50 55 51 55 53 50 SP SD: 0.5523 c. M:-0.9459 c. 377: 57 51 56 52 56 54 51 SP SD: 0.4952 c. M:-0.7825 c. 384: 58 52 57 53 57 55 52 SP SD: 0.4677 c. M: 0.7500 c. 480: 73 65 71 66 71 69 65 SP SD: 0.5345 c. M:-1.0000 c. 487: 74 66 72 67 72 70 66 SP SD: 0.4747 c. M:-0.9692 c. 494: 75 67 73 68 73 71 67 SP SD: 0.4311 c. M:-0.9393 c. 501: 76 68 74 69 74 72 68 SP SD: 0.4069 c. M:-0.9102 c. 506: 77 68 75 70 75 72 69 SP SD: 0.5061 c. M:-0.7470 c. 508: 77 69 75 70 75 73 69 SP SD: 0.4037 c. M:-0.8819 c. 513: 78 69 76 71 76 73 70 SP SD: 0.4892 c. M: 0.7427 c. 515: 78 70 76 71 76 74 70 SP SD: 0.4204 c. M:-0.8544 c. 545: 83 73 81 75 81 78 74 SP SD: 0.3713 c. M:-0.7523 c. 547: 83 74 81 75 81 79 74 SP SD: 0.4102 c. M:-0.6600 c. 552: 84 74 82 76 82 79 75 SP SD: 0.3299 c. M:-0.6087 c. 559: 85 75 83 77 83 80 76 SP SD: 0.3081 c. M: 0.5295 c. 566: 86 76 84 78 84 81 77 SP SD: 0.3084 c. M: 0.5371 c. 573: 87 77 85 79 85 82 78 SP SD: 0.3292 c. M: 0.5445 c. 580: 88 78 86 80 86 83 79 SP SD: 0.3656 c. M: 0.6207 c. 613: 93 83 91 84 91 88 83 SP SD: 0.3951 c. M:-0.6754 c. 620: 94 84 92 85 92 89 84 SP SD: 0.3420 c. M:-0.5806 c. 627: 95 85 93 86 93 90 85 SP SD: 0.3008 c. M:-0.4976 c. 634: 96 86 94 87 94 91 86 SP SD: 0.2753 c. M:-0.4795 c. 641: 97 87 95 88 95 92 87 SP SD: 0.2687 c. M:-0.4618 c. 706: 107 95 105 97 105 101 96 SP SD: 0.3016 c. M: 0.6572 c. 713: 108 96 106 98 106 102 97 SP SD: 0.3242 c. M: 0.6620 c. 720: 109 97 107 99 107 103 98 SP SD: 0.3563 c. M: 0.6667 c. 727: 110 98 108 100 108 104 99 SP SD: 0.3951 c. M: 0.6713 c. 737: 112 99 110 101 109 106 100 SP SD: 0.3738 c. M:-0.6594 c. 744: 113 100 111 102 110 107 101 SP SD: 0.3506 c. M:-0.5806 c. 751: 114 101 112 103 111 108 102 SP SD: 0.3382 c. M: 0.5526 c. 758: 115 102 113 104 112 109 103 SP SD: 0.3370 c. M: 0.6201 c. 767: 116 104 114 105 114 110 104 SP SD: 0.3292 c. M:-0.5554 c. 774: 117 105 115 106 115 111 105 SP SD: 0.3208 c. M: 0.6047 c. 795: 121 107 118 109 118 114 108 SP SD: 0.2819 c. M:-0.6415 c. 796: 121 107 118 110 118 114 108 SP SD: 0.3240 c. M:-0.4372 c. 798: 121 108 118 110 118 115 108 SP SD: 0.3129 c. M:-0.5940 c. 802: 122 108 119 110 119 115 109 SP SD: 0.2492 c. M:-0.5436 c. 809: 123 109 120 111 120 116 110 SP SD: 0.2278 c. M:-0.4475 c. 816: 124 110 121 112 121 117 111 SP SD: 0.2201 c. M:-0.3529 c. 903: 137 122 134 124 134 129 123 SP SD: 0.2164 c. M: 0.4551 c. 935: 142 126 139 128 139 134 127 SP SD: 0.2151 c. M: 0.3690 c. 942: 143 127 140 129 140 135 128 SP SD: 0.1932 c. M: 0.3758 c. 949: 144 128 141 130 141 136 129 SP SD: 0.1829 c. M: 0.3825 c. 956: 145 129 142 131 142 137 130 SP SD: 0.1854 c. M: 0.3891 c. 963: 146 130 143 132 143 138 131 SP SD: 0.1998 c. M: 0.3956 c. 970: 147 131 144 133 144 139 132 SP SD: 0.2233 c. M: 0.4021 c. 1039: 158 140 154 143 154 149 141 SP SD: 0.2181 c. M:-0.4832 c. 1046: 159 141 155 144 155 150 142 SP SD: 0.1854 c. M:-0.4092 c. 1053: 160 142 156 145 156 151 143 SP SD: 0.1594 c. M:-0.3362 c. 1060: 161 143 157 146 157 152 144 SP SD: 0.1432 c. M:-0.2642 c. 1067: 162 144 158 147 158 153 145 SP SD: 0.1396 c. M:-0.1931 c. 1172: 178 158 174 161 174 168 159 SP SD: 0.1582 c. M:-0.2526 c. 1179: 179 159 175 162 175 169 160 SP SD: 0.1180 c. M:-0.1883 c. 1186: 180 160 176 163 176 170 161 SP SD: 0.0782 c. M:-0.1248 c. 1193: 181 161 177 164 177 171 162 SP SD: 0.0389 c. M:-0.0620 c. 1200: 182 162 178 165 178 172 163 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 7.4775 cents 3 x x 4 x 5 x 6 S SD: 10.2665 cents 4 x 5 x 6 x 7:8 S SD: 20.4050 cents 5 x 6:7 x 8:9:10 S SD: 17.2922 cents 6 x 7:8:9:10:11:12 S SD: 14.2146 cents 7:8 x 9:10:12:13:14 S SD: 23.9503 cents 8:9:10:11:12:13:15:16 SD: 11.5891 cents 9:10:11:12:13:15:16:18 SD: 10.2742 cents 12:13:15:16:18:20:22:24 SD: 10.1030 cents 14:16:17:19:21:23:25:28 SD: 8.9001 cents 17:19:21:23:25:28:31:34 SD: 4.4582 cents 26:29:32:35:39:43:47:52 SD: 3.9063 cents 28:31:34:38:42:46:51:56 SD: 2.8422 cents 37:41:45:50:55:61:67:74 SD: 1.6133 cents 45:50:55:61:67:74:82:90 SD: 1.0717 cents 82:91:100:111:122:135:149:164 SD: 0.6655 cents 117:130:143:158:174:193:213:234 SD: 0.6015 cents 145:161:177:196:216:239:264:290 SD: 0.4786 cents 154:171:188:208:229:254:280:308 SD: 0.4662 cents 173:192:211:234:257:285:315:346 SD: 0.3910 cents 199:221:243:269:296:328:362:398 SD: 0.3208 cents 236:262:288:319:351:389:430:472 SD: 0.3061 cents 250:278:305:338:372:412:455:500 SD: 0.3021 cents 273:303:333:369:406:450:497:546 SD: 0.2246 cents 318:353:388:430:473:524:579:636 SD: 0.2169 cents 324:360:395:438:482:534:590:648 SD: 0.2005 cents 341:379:416:461:507:562:621:682 SD: 0.1806 cents 378:420:461:511:562:623:688:756 SD: 0.0970 cents 523:581:638:707:778:862:952:1046 SD: 0.0828 cents