Scala analysis: CD07_20_Egypt
Observe de tes propres yeux - Annûsa Al-Misriyya (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 242.261 cents 242.260870 2: 272.000 cents 272.000000 3: 560.546 cents 560.546392 4: 677.064 cents 677.063803 5: 916.302 cents 916.302026 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 283.6980 cents 283.6980 1: 242.2609 cents 242.2609 2: 29.7391 cents 29.7391 3: 288.5464 cents 288.5464 4: 116.5174 cents 116.5174 5: 239.2382 cents 239.2382 6: 283.6980 cents 283.6980
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 29.73913 cents 1: 1 116.51741 cents 1: 1 239.23822 cents 1: 1 242.26087 cents 1: 1 283.69797 cents 1: 1 288.54639 cents 2: 1 272.00000 cents 2: 1 318.28552 cents 2: 1 355.75563 cents 2: 1 405.06380 cents 2: 1 522.93620 cents 2: 1 525.95884 cents 3: 1 434.80293 cents 3: 1 555.69797 cents 3: 1 560.54639 cents 3: 1 639.45361 cents 3: 1 644.30203 cents 3: 1 765.19707 cents 4: 1 674.04116 cents 4: 1 677.06380 cents 4: 1 794.93620 cents 4: 1 844.24437 cents 4: 1 881.71448 cents 4: 1 928.00000 cents 5: 1 911.45361 cents 5: 1 916.30203 cents 5: 1 957.73913 cents 5: 1 960.76178 cents 5: 1 1083.48259 cents 5: 1 1170.26087 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 242.3 272.0 560.5 677.1 916.3 1200.0 242.3 : 29.7 318.3 434.8 674.0 957.7 1200.0 272.0 : 288.5 405.1 644.3 928.0 1170.3 1200.0 560.5 : 116.5 355.8 639.5 881.7 911.5 1200.0 677.1 : 239.2 522.9 765.2 794.9 1083.5 1200.0 916.3 : 283.7 526.0 555.7 844.2 960.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 29.7391 .. 288.5464 cents 258.80726 cents 29.73913 cents 2: 272.0000 .. 525.9588 cents 253.95884 cents -16.54639 cents 3: 434.8029 .. 765.1971 cents 330.39413 cents -91.15591 cents 4: 674.0412 .. 928.0000 cents 253.95884 cents -91.15591 cents 5: 911.4536 .. 1170.2609 cents 258.80726 cents -16.54639 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 29.73913 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 288.54639 cents Average / Smallest step : 6.725146 Largest / Average step : 1.442732 Largest / Smallest step : 9.702583 Median interval of one step : 240.74955 cents, amount: 0 Least squares average step : 186.34797 cents, oct.: 1118.08783 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : DAFBCE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 11.69797 cents Scale diversity : 1.586834 Lumma stability : 0.049565 Lumma impropriety factor : 0.179504 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 3.02265 cents Number of recognisable fifths : 0 Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 2 0 1 2 N T3 SD: 68.3027 c. M: 116.3020 c. 7: 1 0 2 1 1 2 N D3 SD: 58.9442 c. M: 100.5714 c. 8: 2 0 2 1 1 2 N T3 SD: 43.3202 c. M:-72.9362 c. 9: 2 0 2 1 2 2 N SD: 17.1406 c. M: 27.2131 c. 19: 4 0 5 2 4 4 N SD: 17.4268 c. M:-31.0664 c. 20: 4 0 5 2 4 5 N SD: 18.2948 c. M: 32.0000 c. 21: 4 1 5 2 4 5 N SD: 9.7707 c. M:-13.7143 c. 25: 5 1 6 2 5 6 N SD: 9.5226 c. M:-16.0000 c. 26: 5 1 6 3 5 6 N SD: 8.9393 c. M:-15.2439 c. 30: 6 1 7 3 6 7 N SD: 3.9095 c. M:-8.0000 c. 39: 8 1 9 4 8 9 N SD: 4.6584 c. M:-6.7749 c. 50: 10 1 12 5 10 12 N SD: 5.5723 c. M: 8.5464 c. 55: 11 1 14 5 11 13 N SD: 5.0748 c. M: 10.1818 c. 58: 12 1 14 6 11 14 N SD: 4.4162 c. M:-6.0150 c. 64: 13 2 15 6 13 15 N SD: 4.1200 c. M:-9.2500 c. 69: 14 2 16 7 14 16 N SD: 3.8270 c. M:-6.2609 c. 71: 14 2 17 7 14 17 N SD: 3.0636 c. M: 5.6412 c. 75: 15 2 18 7 15 18 N SD: 2.8740 c. M: 5.0638 c. 80: 16 2 19 8 16 19 N SD: 2.7637 c. M: 5.5464 c. 85: 17 2 21 8 17 20 N SD: 2.5408 c. M:-4.1595 c. 94: 19 2 23 9 19 22 N SD: 2.0442 c. M: 3.9149 c. 98: 20 2 24 9 20 23 N SD: 2.5284 c. M: 3.5944 c. 101: 20 3 24 10 20 24 N SD: 2.2278 c. M: 4.6371 c. 105: 21 3 25 10 21 25 N SD: 1.9330 c. M: 2.7781 c. 110: 22 3 26 11 22 26 N SD: 1.9845 c. M: 4.1828 c. 114: 23 3 27 11 23 27 N SD: 1.8963 c. M: 3.3796 c. 115: 23 3 28 11 23 27 N SD: 1.8010 c. M:-2.9319 c. 124: 25 3 30 12 25 29 N SD: 1.3645 c. M:-3.0528 c. 128: 26 3 31 12 26 30 N SD: 1.6483 c. M:-2.4480 c. 145: 29 4 35 14 29 34 N SD: 1.7806 c. M:-2.3187 c. 149: 30 4 36 14 30 35 N SD: 1.7169 c. M:-3.2120 c. 154: 31 4 37 15 31 36 N SD: 1.4204 c. M:-3.1785 c. 160: 32 4 39 15 32 38 N SD: 1.7740 c. M: 2.2609 c. 163: 33 4 39 16 32 39 N SD: 1.4967 c. M: 3.4186 c. 165: 33 4 40 16 33 39 N SD: 1.5474 c. M: 2.9091 c. 169: 34 4 41 16 34 40 N SD: 1.4144 c. M: 2.5076 c. 173: 35 4 42 17 34 41 N SD: 1.4114 c. M:-2.7050 c. 177: 36 4 43 17 35 42 N SD: 1.3246 c. M:-2.1655 c. 182: 37 4 44 18 36 43 N SD: 1.2871 c. M:-2.0571 c. 190: 38 5 46 18 38 45 N SD: 1.2653 c. M: 2.2609 c. 193: 39 5 46 19 38 46 N SD: 1.2405 c. M: 2.3124 c. 195: 39 5 47 19 39 46 N SD: 1.1053 c. M: 2.2609 c. 199: 40 5 48 19 40 47 N SD: 0.8677 c. M: 1.6869 c. 216: 44 5 52 21 43 51 N SD: 0.9814 c. M:-2.1836 c. 229: 46 6 55 22 46 54 N SD: 0.7564 c. M: 1.2128 c. 257: 52 6 62 25 51 61 N SD: 0.7091 c. M: 1.1829 c. 278: 56 7 67 27 55 66 N SD: 0.6432 c. M: 1.1941 c. 287: 58 7 69 28 57 68 N SD: 0.3300 c. M: 0.6226 c. 317: 64 8 76 31 63 75 N SD: 0.3490 c. M:-0.5552 c. 411: 83 10 99 40 82 97 N SD: 0.3047 c. M:-0.4863 c. 441: 89 11 106 43 88 104 N SD: 0.3543 c. M:-0.7048 c. 445: 90 11 107 43 89 105 N SD: 0.3633 c. M:-0.5519 c. 486: 98 12 117 47 97 115 N SD: 0.3096 c. M: 0.5206 c. 516: 104 13 124 50 103 122 N SD: 0.2154 c. M: 0.4004 c. 698: 141 17 168 68 139 165 N SD: 0.2060 c. M: 0.3668 c. 728: 147 18 175 71 145 172 N SD: 0.1889 c. M:-0.4087 c. 732: 148 18 176 71 146 173 N SD: 0.1677 c. M:-0.3621 c. 803: 162 20 193 78 160 190 N SD: 0.1400 c. M: 0.2373 c. 927: 187 23 223 90 185 219 N SD: 0.1315 c. M:-0.2028 c. 1214: 245 30 292 118 242 287 N SD: 0.0870 c. M: 0.1713 c. 1244: 251 31 299 121 248 294 N SD: 0.0912 c. M: 0.1387 c. 1248: 252 31 300 121 249 295 N SD: 0.0798 c. M: 0.1407 c. 1535: 310 38 369 149 306 363 N SD: 0.0586 c. M:-0.0844 c. 1937: 391 48 466 188 386 458 N SD: 0.0592 c. M:-0.1144 c. 1946: 393 48 468 189 388 460 N SD: 0.0449 c. M:-0.0824 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 12.4456 cents 3 x x 4 x 5:6 S SD: 23.3971 cents 4 x 5 x 6:7:8 S SD: 32.0604 cents 5 x 6:7 x 9:10 SD: 28.1154 cents 6 x 7:8:9:10:12 S SD: 14.9301 cents 7:8 x 10 x 12:14 S SD: 15.1005 cents 8:9 x 11:12:14:16 SD: 14.0489 cents 10 x 12:14:15:17:20 SD: 10.9765 cents 11 x 13:15:16:19:22 SD: 10.1036 cents 12 x 14:17:18:20:24 SD: 11.7790 cents 13:15 x 18:19:22:26 SD: 4.3433 cents 14:16 x 19:21:24:28 SD: 9.0347 cents 16:18:19:22:24:27:32 SD: 9.0298 cents 17 x 20:24:25:29:34 SD: 7.9343 cents 18 x 21:25:27:31:36 SD: 7.2907 cents 19:22 x 26:28:32:38 SD: 5.1558 cents 20:23 x 28:30:34:40 SD: 6.6562 cents 21:24:25:29:31:36:42 SD: 6.0273 cents 23:26:27:32:34:39:46 SD: 5.4294 cents 24 x 28:33:35:41:48 SD: 5.6513 cents 25:29 x 35:37:42:50 SD: 6.4198 cents 26:30 x 36:38:44:52 SD: 4.3433 cents 29:33:34:40:43:49:58 SD: 3.5826 cents 30 x 35:41:44:51:60 SD: 4.9734 cents 31 x 36:43:46:53:62 SD: 3.9683 cents 32:37 x 44:47:54:64 SD: 4.0505 cents 33:38:39:46:49:56:66 SD: 3.9550 cents 34:39:40:47:50:58:68 SD: 2.7254 cents 37 x 43:51:55:63:74 SD: 3.3205 cents 38:44 x 53:56:65:76 SD: 4.7941 cents 39:45:46:54:58:66:78 SD: 3.1591 cents 40:46:47:55:59:68:80 SD: 2.1092 cents 44:51 x 61:65:75:88 SD: 3.1861 cents 46:53:54:64:68:78:92 SD: 2.1704 cents 52:60:61:72:77:88:104 SD: 1.6155 cents 60:69:70:83:89:102:120 SD: 1.3351 cents 86:99:101:119:127:146:172 SD: 1.1769 cents 94:108:110:130:139:160:188 SD: 0.8263 cents 100:115:117:138:148:170:200 SD: 0.6872 cents 113:130:132:156:167:192:226 SD: 0.6820 cents 146:168:171:202:216:248:292 SD: 0.4540 cents 159:183:186:220:235:270:318 SD: 0.3645 cents 199:229:233:275:294:338:398 SD: 0.3642 cents 259:298:303:358:383:440:518 SD: 0.2275 cents 347:399:406:480:513:589:694 SD: 0.2243 cents 353:406:413:488:522:599:706 SD: 0.1501 cents 447:514:523:618:661:759:894 SD: 0.1087 cents 552:635:646:763:816:937:1104 SD: 0.0972 cents