Scala analysis: CD13_20_Turkey
Prélude, puis danse - Mesut Cemil Bey (unknown maqam, Turkey)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 217.924 cents 217.923988 2: 299.769 cents 299.769105 3: 379.603 cents 379.602979 4: 501.727 cents 501.726862 5: 705.082 cents 705.082442 6: 795.546 cents 795.545991 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 404.4540 cents 404.4540 1: 217.9240 cents 217.9240 2: 81.8451 cents 81.8451 3: 79.8339 cents 79.8339 4: 122.1239 cents 122.1239 5: 203.3556 cents 203.3556 6: 90.4635 cents 90.4635 7: 404.4540 cents 404.4540
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 79.83387 cents 1: 1 81.84512 cents 1: 1 90.46355 cents 1: 1 122.12388 cents 1: 1 203.35558 cents 1: 1 217.92399 cents 1: 1 404.45401 cents 2: 1 161.67899 cents 2: 1 201.95776 cents 2: 1 293.81913 cents 2: 1 299.76910 cents 2: 1 325.47946 cents 2: 1 494.91756 cents 2: 1 622.37800 cents 3: 1 283.80287 cents 3: 1 379.60298 cents 3: 1 405.31334 cents 3: 1 415.94301 cents 3: 1 698.27314 cents 3: 1 704.22311 cents 3: 1 712.84155 cents 4: 1 487.15845 cents 4: 1 495.77689 cents 4: 1 501.72686 cents 4: 1 784.05699 cents 4: 1 794.68666 cents 4: 1 820.39702 cents 4: 1 916.19713 cents 5: 1 577.62200 cents 5: 1 705.08244 cents 5: 1 874.52054 cents 5: 1 900.23090 cents 5: 1 906.18087 cents 5: 1 998.04224 cents 5: 1 1038.32101 cents 6: 1 795.54599 cents 6: 1 982.07601 cents 6: 1 996.64442 cents 6: 1 1077.87612 cents 6: 1 1109.53645 cents 6: 1 1118.15488 cents 6: 1 1120.16613 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 : 217.9 299.8 379.6 501.7 705.1 795.5 1200.0 217.9 : 81.8 161.7 283.8 487.2 577.6 982.1 1200.0 299.8 : 79.8 202.0 405.3 495.8 900.2 1118.2 1200.0 379.6 : 122.1 325.5 415.9 820.4 1038.3 1120.2 1200.0 501.7 : 203.4 293.8 698.3 916.2 998.0 1077.9 1200.0 705.1 : 90.5 494.9 712.8 794.7 874.5 996.6 1200.0 795.5 : 404.5 622.4 704.2 784.1 906.2 1109.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 79.8339 .. 404.4540 cents 324.62013 cents 79.83387 cents 2: 161.6790 .. 622.3780 cents 460.69901 cents -242.77502 cents 3: 283.8029 .. 712.8415 cents 429.03867 cents -338.57512 cents 4: 487.1585 .. 916.1971 cents 429.03867 cents -225.68309 cents 5: 577.6220 .. 1038.3210 cents 460.69901 cents -338.57512 cents 6: 795.5460 .. 1120.1661 cents 324.62013 cents -242.77502 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 79.83387 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 404.45401 cents Average / Smallest step : 2.147316 Largest / Average step : 2.359315 Largest / Smallest step : 5.066195 Median interval of one step : 122.12388 cents, amount: 1 Least squares average step : 147.58476 cents, oct.: 1033.09334 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : FBADECG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.85933 cents Scale diversity : 1.606781 Lumma stability : 0.133056 Lumma impropriety factor : 0.730535 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 : 0.85933 cents Number of recognisable fifths : 4, average 705.1051 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 0 1 1 1 2 N T3 SD: 37.2169 c. M:-61.5969 c. 9: 2 0 1 1 1 1 3 N SD: 30.1952 c. M:-48.7427 c. 12: 2 1 1 1 2 1 4 N SD: 10.5966 c. M:-20.3970 c. 27: 5 2 2 2 5 2 9 N SD: 10.5840 c. M:-20.3970 c. 29: 5 2 2 3 5 2 10 N SD: 7.4857 c. M: 11.0274 c. 39: 7 3 2 4 7 3 13 N SD: 6.4606 c. M: 10.3722 c. 41: 7 3 3 4 7 3 14 N SD: 6.2524 c. M: 13.0459 c. 44: 8 3 3 4 8 3 15 N SD: 4.7752 c. M: 10.8178 c. 48: 9 3 3 5 8 4 16 N SD: 4.1397 c. M:-7.0760 c. 59: 11 4 4 6 10 4 20 N SD: 5.4201 c. M:-6.8377 c. 60: 11 4 4 6 10 5 20 N SD: 2.7561 c. M: 5.0824 c. 77: 14 5 5 8 13 6 26 N SD: 3.1310 c. M: 5.5770 c. 83: 15 6 5 9 14 6 28 N SD: 2.9135 c. M:-4.2972 c. 88: 16 6 6 9 15 6 30 N SD: 2.6870 c. M: 4.6369 c. 89: 16 6 6 9 15 7 30 N SD: 2.4720 c. M: 3.9588 c. 95: 17 7 6 10 16 7 32 N SD: 2.3863 c. M:-3.5363 c. 104: 19 7 7 10 18 8 35 N SD: 2.2702 c. M: 5.5730 c. 119: 22 8 8 12 20 9 40 N SD: 2.5022 c. M:-3.9248 c. 124: 23 8 8 13 21 9 42 N SD: 2.2238 c. M:-4.6567 c. 127: 23 9 8 13 22 9 43 N SD: 1.9605 c. M:-3.5790 c. 136: 25 9 9 14 23 10 46 N SD: 1.2729 c. M:-2.6642 c. 143: 26 10 9 15 24 11 48 N SD: 1.4796 c. M:-2.3288 c. 148: 27 10 10 15 25 11 50 N SD: 0.8610 c. M:-1.4781 c. 208: 38 14 14 21 35 16 70 N SD: 0.8500 c. M:-1.3068 c. 225: 41 15 15 23 38 17 76 N SD: 0.8232 c. M: 1.1024 c. 237: 43 16 16 24 40 18 80 N SD: 0.6936 c. M: 1.2850 c. 320: 58 22 21 33 54 24 108 N SD: 0.5159 c. M: 0.8530 c. 332: 60 23 22 34 56 25 112 N SD: 0.5135 c. M: 1.0565 c. 335: 61 23 22 34 57 25 113 N SD: 0.5509 c. M:-1.1264 c. 347: 63 24 23 35 59 26 117 N SD: 0.5484 c. M:-1.0954 c. 364: 66 25 24 37 62 27 123 N SD: 0.5411 c. M: 1.0405 c. 380: 69 26 25 39 64 29 128 N SD: 0.4546 c. M: 0.8719 c. 385: 70 26 26 39 65 29 130 N SD: 0.5071 c. M: 0.7408 c. 392: 71 27 26 40 66 30 132 N SD: 0.4819 c. M: 1.0008 c. 424: 77 29 28 43 72 32 143 N SD: 0.3775 c. M: 0.7835 c. 505: 92 34 34 51 86 38 170 N SD: 0.5011 c. M:-0.6899 c. 507: 92 35 33 52 86 38 171 N SD: 0.4877 c. M: 0.9048 c. 512: 93 35 34 52 87 38 173 N SD: 0.4257 c. M: 1.0147 c. 516: 94 35 34 53 87 39 174 N SD: 0.4447 c. M:-0.6807 c. 519: 94 36 34 53 88 39 175 N SD: 0.4153 c. M:-0.8089 c. 528: 96 36 35 54 89 40 178 N SD: 0.3202 c. M:-0.5459 c. 572: 104 39 38 58 97 43 193 N SD: 0.2594 c. M: 0.4411 c. 677: 123 46 45 69 115 51 228 N SD: 0.2367 c. M:-0.3828 c. 689: 125 47 46 70 117 52 232 N SD: 0.2226 c. M:-0.3901 c. 825: 150 56 55 84 140 62 278 N SD: 0.1852 c. M:-0.3721 c. 837: 152 57 56 85 142 63 282 N SD: 0.1837 c. M:-0.3253 c. 1009: 183 69 67 103 171 76 340 N SD: 0.1664 c. M: 0.2828 c. 1062: 193 72 71 108 180 80 358 N SD: 0.1436 c. M: 0.3341 c. 1145: 208 78 76 117 194 86 386 N SD: 0.1684 c. M:-0.2819 c. 1157: 210 79 77 118 196 87 390 N SD: 0.1314 c. M:-0.2610 c. 1205: 219 82 80 123 204 91 406 N SD: 0.1281 c. M: 0.1839 c. 1217: 221 83 81 124 206 92 410 N SD: 0.0964 c. M:-0.1812 c. 1261: 229 86 84 128 214 95 425 N SD: 0.0949 c. M: 0.2201 c. 1552: 282 106 103 158 263 117 523 N SD: 0.1101 c. M:-0.2309 c. 1581: 287 108 105 161 268 119 533 N SD: 0.0661 c. M: 0.1001 c. 1789: 325 122 119 182 303 135 603 N SD: 0.0586 c. M: 0.1076 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x 4 S SD: 1.5637 cents 3 x x x 4 x 5:6 S SD: 29.6297 cents 4 x x 5 x 6 x 8 S SD: 2.4679 cents 5 x 6 x 7 x 8:10 S SD: 21.0762 cents 6 x 7 x 8:9:10:12 S SD: 18.9666 cents 7:8 x 9 x x 11:14 SD: 14.6290 cents 8:9 x 10:11:12:13:16 SD: 11.4671 cents 9:10 x 11:12 x 14:18 SD: 11.4017 cents 10:11:12 x 13:15:16:20 SD: 12.5264 cents 11:12:13:14:15 x 17:22 SD: 15.8753 cents 12 x 14:15:16:18:19:24 SD: 5.6536 cents 13:15 x 16:17:20:21:26 SD: 12.4129 cents 14:16:17 x 19:21:22:28 SD: 8.1729 cents 15:17:18:19:20:23:24:30 SD: 7.4153 cents 16:18:19:20:21:24:25:32 SD: 5.9577 cents 20:23:24:25:27:30:32:40 SD: 5.5902 cents 21:24:25:26:28:32:33:42 SD: 4.6149 cents 24:27:29:30:32:36:38:48 SD: 4.6082 cents 28:32:33:35:37:42:44:56 SD: 4.5278 cents 30:34:36:37:40:45:48:60 SD: 4.2355 cents 32:36:38:40:43:48:51:64 SD: 3.1341 cents 36:41:43:45:48:54:57:72 SD: 1.9276 cents 53:60:63:66:71:80:84:106 SD: 1.3772 cents 69:78:82:86:92:104:109:138 SD: 1.3722 cents 74:84:88:92:99:111:117:148 SD: 0.7814 cents 127:144:151:158:170:191:201:254 SD: 0.5466 cents 163:185:194:203:218:245:258:326 SD: 0.3917 cents 217:246:258:270:290:326:344:434 SD: 0.3789 cents 223:253:265:278:298:335:353:446 SD: 0.3524 cents 253:287:301:315:338:380:401:506 SD: 0.3256 cents 285:323:339:355:381:428:451:570 SD: 0.3250 cents 297:337:353:370:397:446:470:594 SD: 0.3081 cents 298:338:354:371:398:448:472:596 SD: 0.2977 cents 322:365:383:401:430:484:510:644 SD: 0.2376 cents 360:408:428:448:481:541:570:720 SD: 0.2303 cents 372:422:442:463:497:559:589:744 SD: 0.2212 cents 396:449:471:493:529:595:627:792 SD: 0.1254 cents 583:661:693:726:779:876:923:1166 SD: 0.1155 cents