Scala analysis: Thailand_Xylophone_09
9 (Xylophone), Thailand
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 188.000 cents 188.000000 2: 358.000 cents 358.000000 3: 513.000 cents 513.000000 4: 683.000 cents 683.000000 5: 846.000 cents 846.000000 6: 1027.000 cents 1027.000000 7: 1205.000 cents 1205.000000
SHOW/INTERVAL
0: 178.0000 cents 178.0000 1: 188.0000 cents 188.0000 2: 170.0000 cents 170.0000 3: 155.0000 cents 155.0000 4: 170.0000 cents 170.0000 5: 163.0000 cents 163.0000 6: 181.0000 cents 181.0000 7: 178.0000 cents 178.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 155.00000 cents 1: 1 163.00000 cents 1: 2 170.00000 cents 1: 1 178.00000 cents 1: 1 181.00000 cents 1: 1 188.00000 cents 2: 2 325.00000 cents 2: 1 333.00000 cents 2: 1 344.00000 cents 2: 1 358.00000 cents 2: 1 359.00000 cents 2: 1 366.00000 cents 3: 1 488.00000 cents 3: 1 495.00000 cents 3: 1 513.00000 cents 3: 1 514.00000 cents 3: 1 522.00000 cents 3: 1 536.00000 cents 3: 1 547.00000 cents 4: 1 658.00000 cents 4: 1 669.00000 cents 4: 1 683.00000 cents 4: 1 691.00000 cents 4: 1 692.00000 cents 4: 1 710.00000 cents 4: 1 717.00000 cents 5: 1 839.00000 cents 5: 1 846.00000 cents 5: 1 847.00000 cents 5: 1 861.00000 cents 5: 1 872.00000 cents 5: 2 880.00000 cents 6: 1 1017.00000 cents 6: 1 1024.00000 cents 6: 1 1027.00000 cents 6: 2 1035.00000 cents 6: 1 1042.00000 cents 6: 1 1050.00000 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 : 188.0 358.0 513.0 683.0 846.0 1027.0 1205.0 188.0 : 170.0 325.0 495.0 658.0 839.0 1017.0 1205.0 358.0 : 155.0 325.0 488.0 669.0 847.0 1035.0 1205.0 513.0 : 170.0 333.0 514.0 692.0 880.0 1050.0 1205.0 683.0 : 163.0 344.0 522.0 710.0 880.0 1035.0 1205.0 846.0 : 181.0 359.0 547.0 717.0 872.0 1042.0 1205.0 1027.0: 178.0 366.0 536.0 691.0 861.0 1024.0 1205.0 1205.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 155.0000 .. 188.0000 cents 33.00000 cents 155.00000 cents 2: 325.0000 .. 366.0000 cents 41.00000 cents 137.00000 cents 3: 488.0000 .. 547.0000 cents 59.00000 cents 122.00000 cents 4: 658.0000 .. 717.0000 cents 59.00000 cents 111.00000 cents 5: 839.0000 .. 880.0000 cents 41.00000 cents 122.00000 cents 6: 1017.0000 .. 1050.0000 cents 33.00000 cents 137.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 155.00000 cents, class 1 Average step (divided formal octave): 172.1429 cents Largest one step interval : 188.00000 cents Average / Smallest step : 1.110599 Largest / Average step : 1.092116 Largest / Smallest step : 1.212903 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 : 171.44286 cents, oct.: 1200.10000 cents Scale is strictly proper Scale is a mode of a 1205-tone equal temperament with octave 1205.000 cents degrees: 188 358 513 683 846 1027 1205 Least number of segments generator : 603 of 603.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1033 of 1033.000 cents and inv. generated superset size: 215 = 208 more = 3071.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBDEF Step pattern size order : FCACBED Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 111.00000 cents Scale diversity : 1.231891 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.779253 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 : 4, average 702.5000 cents Number of appreciable fifths : 3, average 697.6667 cents Number of recognisable fourths : 4, average 502.5000 cents Number of appreciable fourths : 2, average 491.5000 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% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 34.0000 cents: 6 Limited inverse transpositions with margin 34.0000 cents: 5 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 10.2340 c. M: 15.8571 c. Lebeng 26: 4 4 3 4 3 4 4 SP D3 I SD: 8.6337 c. M:-12.7692 c. 30: 5 4 4 4 4 5 4 SP D3 S SD: 9.0055 c. M:-17.3333 c. 33: 5 5 4 5 4 5 5 SP D3 I SD: 6.0818 c. M:-10.7879 c. 37: 6 5 5 5 5 6 5 SP D3 S SD: 7.0863 c. M:-15.1622 c. 40: 6 6 5 6 5 6 6 SP D3 I SD: 5.0272 c. M:-9.8750 c. 47: 7 7 6 7 6 7 7 SP D3 I SD: 4.7981 c. M:-9.2340 c. 55: 9 7 7 8 8 8 8 SP SD: 6.7190 c. M:-9.1818 c. 56: 9 8 7 8 7 9 8 SP SD: 5.5592 c. M:-7.8036 c. 57: 9 8 7 8 8 9 8 SP SD: 4.7820 c. M:-8.8772 c. 63: 10 9 8 9 8 10 9 SP SD: 4.4169 c. M:-5.8571 c. 70: 11 10 9 10 9 11 10 SP SD: 3.7310 c. M:-5.8571 c. 77: 12 11 10 11 10 12 11 SP SD: 3.4177 c. M:-5.8571 c. 83: 13 12 10 12 11 13 12 SP SD: 3.3617 c. M:-4.9518 c. 87: 14 12 11 12 12 13 13 SP SD: 3.0193 c. M:-5.9080 c. 90: 14 13 11 13 12 14 13 SP SD: 2.7314 c. M: 4.2222 c. 94: 15 13 12 13 13 14 14 SP SD: 2.2144 c. M:-4.2872 c. 97: 15 14 12 14 13 15 14 SP SD: 2.3794 c. M:-4.0825 c. 101: 16 14 13 14 14 15 15 SP SD: 1.6543 c. M: 2.9505 c. 108: 17 15 14 15 15 16 16 SP SD: 1.3973 c. M: 2.3981 c. 134: 21 19 17 19 18 20 20 SP SD: 1.0618 c. M: 1.8507 c. 141: 22 20 18 20 19 21 21 SP SD: 0.7135 c. M: 1.4681 c. 148: 23 21 19 21 20 22 22 SP SD: 0.6846 c. M: 1.1216 c. 249: 39 35 32 35 34 37 37 SP SD: 0.6415 c. M: 1.0562 c. 256: 40 36 33 36 35 38 38 SP SD: 0.6255 c. M:-1.2656 c. 312: 49 44 40 44 42 47 46 SP SD: 0.7481 c. M:-1.2468 c. 319: 50 45 41 45 43 48 47 SP SD: 0.6290 c. M:-0.8715 c. 326: 51 46 42 46 44 49 48 SP SD: 0.5844 c. M:-0.8190 c. 346: 54 49 44 49 47 52 51 SP SD: 0.5349 c. M: 1.0491 c. 353: 55 50 45 50 48 53 52 SP SD: 0.5096 c. M: 0.9603 c. 467: 73 66 60 66 63 70 69 SP SD: 0.4664 c. M:-0.7794 c. 474: 74 67 61 67 64 71 70 SP SD: 0.4658 c. M:-0.8502 c. 487: 76 69 62 69 66 73 72 SP SD: 0.4389 c. M: 0.8131 c. 489: 76 69 63 69 66 74 72 SP SD: 0.5725 c. M: 0.7751 c. 494: 77 70 63 70 67 74 73 SP SD: 0.3988 c. M: 0.7530 c. 501: 78 71 64 71 68 75 74 SP SD: 0.4100 c. M: 0.6946 c. 526: 82 74 68 74 71 79 78 SP SD: 0.4561 c. M: 0.6882 c. 533: 83 75 69 75 72 80 79 SP SD: 0.4529 c. M: 0.7955 c. 563: 88 79 73 79 76 85 83 SP SD: 0.4490 c. M:-0.6767 c. 568: 89 80 73 80 77 85 84 SP SD: 0.4430 c. M:-0.8116 c. 575: 90 81 74 81 78 86 85 SP SD: 0.4055 c. M:-0.6435 c. 582: 91 82 75 82 79 87 86 SP SD: 0.4054 c. M:-0.8127 c. 595: 93 84 76 84 81 89 88 SP SD: 0.4326 c. M: 0.6218 c. 596: 93 84 77 84 80 90 88 SP SD: 0.4202 c. M: 0.8826 c. 602: 94 85 77 85 82 90 89 SP SD: 0.4047 c. M:-0.7027 c. 603: 94 85 78 85 81 91 89 SP SD: 0.4041 c. M: 0.7015 c. 610: 95 86 79 86 82 92 90 SP SD: 0.4220 c. M:-0.6066 c. 616: 96 87 79 87 83 93 91 SP SD: 0.4209 c. M: 0.9351 c. 623: 97 88 80 88 84 94 92 SP SD: 0.3787 c. M: 0.7592 c. 630: 98 89 81 89 85 95 93 SP SD: 0.3701 c. M: 0.5873 c. 672: 105 95 86 95 91 101 99 SP SD: 0.3592 c. M:-0.6310 c. 679: 106 96 87 96 92 102 100 SP SD: 0.3533 c. M:-0.5331 c. 697: 109 98 90 98 94 105 103 SP SD: 0.3390 c. M: 0.5983 c. 704: 110 99 91 99 95 106 104 SP SD: 0.2918 c. M:-0.4943 c. 711: 111 100 92 100 96 107 105 SP SD: 0.2771 c. M:-0.5232 c. 731: 114 103 94 103 99 110 108 SP SD: 0.3020 c. M: 0.5513 c. 738: 115 104 95 104 100 111 109 SP SD: 0.2951 c. M: 0.4932 c. 771: 120 109 99 109 104 116 114 SP SD: 0.2918 c. M: 0.4682 c. 801: 125 113 103 113 108 121 118 SP SD: 0.2765 c. M: 0.5443 c. 808: 126 114 104 114 109 122 119 SP SD: 0.2585 c. M:-0.5309 c. 812: 127 114 105 114 110 122 120 SP SD: 0.3192 c. M:-0.4667 c. 815: 127 115 105 115 110 123 120 SP SD: 0.2702 c. M:-0.5767 c. 845: 132 119 109 119 114 127 125 SP SD: 0.2388 c. M:-0.3728 c. 852: 133 120 110 120 115 128 126 SP SD: 0.2111 c. M:-0.3979 c. 872: 136 123 112 123 118 131 129 SP SD: 0.2367 c. M: 0.3509 c. 879: 137 124 113 124 119 132 130 SP SD: 0.2168 c. M: 0.3038 c. 916: 143 129 118 129 124 138 135 SP SD: 0.2061 c. M:-0.4072 c. 942: 147 133 121 133 127 142 139 SP SD: 0.2015 c. M: 0.4533 c. 949: 148 134 122 134 128 143 140 SP SD: 0.1687 c. M: 0.3414 c. 956: 149 135 123 135 129 144 141 SP SD: 0.1671 c. M:-0.2751 c. 1050: 164 148 135 148 142 158 155 SP SD: 0.1369 c. M:-0.2095 c. 1057: 165 149 136 149 143 159 156 SP SD: 0.0959 c. M:-0.1570 c. 1064: 166 150 137 150 144 160 157 SP SD: 0.0946 c. M:-0.1945 c. 1198: 187 169 154 169 162 180 177 SP SD: 0.0598 c. M:-0.0927 c. 1205: 188 170 155 170 163 181 178 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 5.0000 cents 2 x x x 3 x x 4 S SD: 9.8017 cents 3 x x 4 x 5 x 6 S SD: 13.8245 cents 4 x 5 x 6 x 7:8 S SD: 16.9008 cents 5 x 6:7 x 8:9:10 S SD: 17.6452 cents 6:7 x 8:9:10:11:12 S SD: 15.6348 cents 7:8:9 x 10:11:13:14 SD: 22.4563 cents 8:9:10:11:12:13:14:16 S SD: 11.3583 cents 9:10:11:12:13:15:16:18 SD: 10.0715 cents 14:16:17:19:21:23:25:28 SD: 8.6799 cents 16:18:20:22:24:26:29:32 SD: 7.7512 cents 17:19:21:23:25:28:31:34 SD: 4.3773 cents 25:28:31:34:37:41:45:50 SD: 4.2596 cents 26:29:32:35:39:42:47:52 SD: 3.6203 cents 27:30:33:36:40:44:49:54 SD: 2.9343 cents 35:39:43:47:52:57:63:70 SD: 1.6408 cents 43:48:53:58:64:70:78:86 SD: 1.5899 cents 52:58:64:70:77:85:94:104 SD: 1.1857 cents 70:78:86:94:104:114:127:140 SD: 1.1233 cents 78:87:96:105:116:127:141:156 SD: 1.0687 cents 87:97:107:117:129:142:157:175 SD: 1.0603 cents 95:106:117:128:141:155:172:191 SD: 0.8991 cents 105:117:129:141:156:171:190:211 SD: 0.7688 cents 122:136:150:164:181:199:221:245 SD: 0.4237 cents 157:175:193:211:233:256:284:315 SD: 0.2586 cents 322:359:396:433:478:525:583:646 SD: 0.1917 cents 357:398:439:480:530:582:646:716 SD: 0.1776 cents 374:417:460:503:555:610:677:750 SD: 0.1749 cents 478:533:588:643:709:779:865:959 SD: 0.1694 cents 479:534:589:644:711:781:867:961 SD: 0.1640 cents 505:563:621:679:749:823:914:1013 SD: 0.1304 cents