Scala analysis: CD06_04_Egypt
Lorsque je vois le visage de mon amour - Muhammad al-Bahr (nahawand, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 107.784 cents 107.783646 2: 217.412 cents 217.412263 3: 421.684 cents 421.683685 4: 498.311 cents 498.310715 5: 708.471 cents 708.471375 6: 796.595 cents 796.594835 7: 1022.038 cents 1022.038091 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 177.9619 cents 177.9619 1: 107.7836 cents 107.7836 2: 109.6286 cents 109.6286 3: 204.2714 cents 204.2714 4: 76.6270 cents 76.6270 5: 210.1607 cents 210.1607 6: 88.1235 cents 88.1235 7: 225.4433 cents 225.4433 8: 177.9619 cents 177.9619
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 76.62703 cents 1: 1 88.12346 cents 1: 1 107.78365 cents 1: 1 109.62862 cents 1: 1 177.96191 cents 1: 1 204.27142 cents 1: 1 210.16066 cents 1: 1 225.44326 cents 2: 1 217.41226 cents 2: 1 280.89845 cents 2: 1 285.74556 cents 2: 1 286.78769 cents 2: 1 298.28412 cents 2: 1 313.56672 cents 2: 1 313.90004 cents 2: 1 403.40516 cents 3: 1 374.91115 cents 3: 1 390.52707 cents 3: 1 395.37417 cents 3: 1 421.68368 cents 3: 1 491.05911 cents 3: 1 491.52863 cents 3: 1 511.18881 cents 3: 1 523.72738 cents 4: 1 498.31072 cents 4: 1 579.18257 cents 4: 1 599.31227 cents 4: 1 599.64559 cents 4: 1 600.35441 cents 4: 1 600.68773 cents 4: 1 620.81743 cents 4: 1 701.68928 cents 5: 1 676.27262 cents 5: 1 688.81119 cents 5: 1 708.47137 cents 5: 1 708.94089 cents 5: 1 778.31632 cents 5: 1 804.62583 cents 5: 1 809.47293 cents 5: 1 825.08885 cents 6: 1 796.59483 cents 6: 1 886.09996 cents 6: 1 886.43328 cents 6: 1 901.71588 cents 6: 1 913.21231 cents 6: 1 914.25444 cents 6: 1 919.10155 cents 6: 1 982.58774 cents 7: 1 974.55674 cents 7: 1 989.83934 cents 7: 1 995.72858 cents 7: 1 1022.03809 cents 7: 1 1090.37138 cents 7: 1 1092.21635 cents 7: 1 1111.87654 cents 7: 1 1123.37297 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 107.8 217.4 421.7 498.3 708.5 796.6 1022.0 1200.0 107.8 : 109.6 313.9 390.5 600.7 688.8 914.3 1092.2 1200.0 217.4 : 204.3 280.9 491.1 579.2 804.6 982.6 1090.4 1200.0 421.7 : 76.6 286.8 374.9 600.4 778.3 886.1 995.7 1200.0 498.3 : 210.2 298.3 523.7 701.7 809.5 919.1 1123.4 1200.0 708.5 : 88.1 313.6 491.5 599.3 708.9 913.2 989.8 1200.0 796.6 : 225.4 403.4 511.2 620.8 825.1 901.7 1111.9 1200.0 1022.0: 178.0 285.7 395.4 599.6 676.3 886.4 974.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 76.6270 .. 225.4433 cents 148.81623 cents 76.62703 cents 2: 217.4123 .. 403.4052 cents 185.99290 cents -8.03099 cents 3: 374.9112 .. 523.7274 cents 148.81623 cents -28.49401 cents 4: 498.3107 .. 701.6893 cents 203.37857 cents -25.41666 cents 5: 676.2726 .. 825.0888 cents 148.81623 cents -25.41666 cents 6: 796.5948 .. 982.5877 cents 185.99290 cents -28.49402 cents 7: 974.5567 .. 1123.3730 cents 148.81623 cents -8.03099 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 76.62703 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 225.44326 cents Average / Smallest step : 1.957534 Largest / Average step : 1.502955 Largest / Smallest step : 2.942085 Median interval of one step : 143.79526 cents, amount: 0 Least squares average step : 141.55439 cents, oct.: 1132.43508 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : CDFAGBHE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.78209 cents Scale diversity : 1.554267 Lumma stability : 0.127712 Lumma impropriety factor : 0.103236 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 0.33332 cents Number of recognisable fifths : 4, average 701.9782 cents Number of appreciable fifths : 3, average 706.3672 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 0 2 0 2 0 2 1 N T3 SD: 42.0416 c. M: 67.4123 c. 9: 1 1 1 1 1 1 2 1 P M ME SD: 32.6468 c. M:-49.2544 c. 10: 1 1 2 0 2 1 2 1 N D3 SD: 34.9500 c. M:-58.3163 c. 11: 1 1 2 0 2 1 2 2 N SD: 34.7620 c. M: 61.9471 c. 12: 1 1 2 1 2 1 2 2 P D3 SD: 13.2563 c. M: 22.0381 c. Raga Hijaj Bhairav, Jogi Asavari 22: 2 2 4 1 4 2 4 3 N SD: 10.8639 c. M:-21.5870 c. 26: 2 3 4 2 4 2 5 4 N SD: 11.1504 c. M: 16.1637 c. 27: 2 3 4 2 5 2 5 4 N SD: 10.9413 c. M: 21.6837 c. 29: 3 2 5 2 5 2 6 4 N SD: 9.5617 c. M:-16.3543 c. 32: 3 3 5 2 6 2 6 5 N SD: 7.6726 c. M: 10.8107 c. 34: 3 3 6 2 6 3 6 5 N SD: 6.0781 c. M:-15.1699 c. 46: 4 4 8 3 8 3 9 7 N SD: 6.5906 c. M: 13.9861 c. 48: 4 5 8 3 8 4 9 7 N SD: 5.2932 c. M: 8.4714 c. 54: 5 5 9 3 10 4 10 8 N SD: 4.2111 c. M: 9.4218 c. 56: 5 5 10 3 10 4 11 8 N SD: 4.2689 c. M:-6.8877 c. 65: 6 6 11 4 11 5 12 10 N SD: 4.0995 c. M: 6.9329 c. 66: 6 6 11 4 12 5 12 10 N SD: 3.4677 c. M: 7.4016 c. 68: 6 6 12 4 12 5 13 10 N SD: 2.9909 c. M: 5.6476 c. 80: 7 7 14 5 14 6 15 12 N SD: 3.4502 c. M: 7.4123 c. 87: 8 8 15 5 15 7 16 13 N SD: 3.4256 c. M:-5.9025 c. 88: 8 8 15 6 15 6 17 13 N SD: 3.0710 c. M:-6.2347 c. 89: 8 8 15 6 16 6 17 13 N SD: 2.8042 c. M:-6.1354 c. 90: 8 8 16 5 16 7 17 13 N SD: 3.6015 c. M:-4.9830 c. 93: 8 9 16 6 16 7 17 14 N SD: 3.2778 c. M:-4.9151 c. 99: 9 9 17 6 17 8 18 15 N SD: 2.8879 c. M: 5.4411 c. 103: 9 10 17 7 18 7 20 15 N SD: 2.9695 c. M: 4.3618 c. 108: 10 10 18 7 19 8 20 16 N SD: 2.6445 c. M:-4.8100 c. 109: 10 10 18 7 19 8 21 16 N SD: 2.8807 c. M: 3.9343 c. 110: 10 10 19 7 19 8 21 16 N SD: 2.2620 c. M:-3.7709 c. 120: 11 11 20 8 21 9 22 18 N SD: 2.1031 c. M:-3.4052 c. 122: 11 11 21 8 21 9 23 18 N SD: 1.3610 c. M:-3.3286 c. 134: 12 12 23 9 23 10 25 20 N SD: 1.5625 c. M:-3.1818 c. 137: 12 13 23 9 24 10 26 20 N SD: 1.6229 c. M:-2.7794 c. 142: 13 13 24 9 25 10 27 21 N SD: 1.4820 c. M:-2.3060 c. 154: 14 14 26 10 27 11 29 23 N SD: 1.0273 c. M: 1.7896 c. 176: 16 16 30 11 31 13 33 26 N SD: 0.8567 c. M:-1.3073 c. 188: 17 17 32 12 33 14 35 28 N SD: 0.6376 c. M:-1.2775 c. 291: 26 27 49 19 51 21 55 43 N SD: 0.7729 c. M:-1.1444 c. 298: 27 27 51 19 52 22 56 44 N SD: 0.7421 c. M:-1.1351 c. 310: 28 28 53 20 54 23 58 46 N SD: 0.5725 c. M:-1.0441 c. 325: 29 30 55 21 57 24 61 48 N SD: 0.6039 c. M:-0.9436 c. 330: 30 30 56 21 58 24 62 49 N SD: 0.5939 c. M:-1.3073 c. 342: 31 31 58 22 60 25 64 51 N SD: 0.5555 c. M:-0.9883 c. 390: 35 36 66 25 68 29 73 58 N SD: 0.5145 c. M:-1.0493 c. 393: 35 36 67 25 69 29 74 58 N SD: 0.5642 c. M: 0.9134 c. 398: 36 36 68 25 70 29 75 59 N SD: 0.4914 c. M: 0.8233 c. 410: 37 37 70 26 72 30 77 61 N SD: 0.5200 c. M: 0.8269 c. 446: 40 41 76 28 78 33 84 66 N SD: 0.5063 c. M: 0.8481 c. 452: 41 41 77 29 79 33 85 67 N SD: 0.5277 c. M:-1.0659 c. 458: 41 42 78 29 80 34 86 68 N SD: 0.4397 c. M: 1.0478 c. 479: 43 44 81 31 84 35 90 71 N SD: 0.3982 c. M: 0.8069 c. 493: 44 45 84 32 86 36 93 73 N SD: 0.5479 c. M: 0.7794 c. 498: 45 45 85 32 87 37 93 74 N SD: 0.5087 c. M:-0.9955 c. 503: 45 46 86 32 88 37 94 75 N SD: 0.4606 c. M: 0.9645 c. 520: 47 47 89 33 91 38 98 77 N SD: 0.4151 c. M:-0.6779 c. 532: 48 48 91 34 93 39 100 79 N SD: 0.3977 c. M: 0.8709 c. 535: 48 49 91 34 94 39 101 79 N SD: 0.3481 c. M:-0.7656 c. 547: 49 50 93 35 96 40 103 81 N SD: 0.2771 c. M: 0.4771 c. 669: 60 61 114 43 117 49 126 99 N SD: 0.2476 c. M:-0.3834 c. 723: 65 66 123 46 127 53 136 107 N SD: 0.2157 c. M: 0.3854 c. 735: 66 67 125 47 129 54 138 109 N SD: 0.2338 c. M: 0.4592 c. 788: 71 72 134 50 138 58 148 117 N SD: 0.2659 c. M:-0.3542 c. 823: 74 75 140 53 144 60 155 122 N SD: 0.2537 c. M: 0.4830 c. 845: 76 77 144 54 148 62 159 125 N SD: 0.1958 c. M:-0.4471 c. 857: 77 78 146 55 150 63 161 127 N SD: 0.1791 c. M: 0.3761 c. 877: 79 80 149 56 154 64 165 130 N SD: 0.2246 c. M:-0.3121 c. 910: 82 83 155 58 159 67 171 135 N SD: 0.2210 c. M:-0.3482 c. 937: 84 86 159 60 164 69 176 139 N SD: 0.2039 c. M: 0.3390 c. 999: 90 91 170 64 175 73 188 148 N SD: 0.1851 c. M:-0.3245 c. 1033: 93 94 176 66 181 76 194 153 N SD: 0.1819 c. M:-0.3074 c. 1038: 93 95 177 66 182 76 195 154 N SD: 0.1612 c. M:-0.2816 c. 1059: 95 97 180 68 185 78 199 157 N SD: 0.1614 c. M:-0.2729 c. 1226: 110 112 209 78 215 90 230 182 N SD: 0.1382 c. M: 0.1784 c. 1235: 111 113 210 79 216 91 232 183 N SD: 0.1379 c. M:-0.2396 c. 1303: 117 119 222 83 228 96 245 193 N SD: 0.1322 c. M: 0.2596 c. 1457: 131 133 248 93 255 107 274 216 N SD: 0.0946 c. M: 0.1666 c. 1645: 148 150 280 105 288 121 309 244 N SD: 0.0879 c. M:-0.1799 c. 1970: 177 180 335 126 345 145 370 292 N SD: 0.0909 c. M: 0.1608 c. 2092: 188 191 356 134 366 154 393 310 N SD: 0.1013 c. M:-0.1596 c. 2097: 188 192 357 134 367 154 394 311 N SD: 0.0875 c. M: 0.2014 c. 2163: 194 198 368 138 379 159 406 321 N SD: 0.0899 c. M: 0.1554 c. 2192: 197 200 373 140 384 161 412 325 N SD: 0.0884 c. M: 0.1508 c. 2225: 200 203 379 142 390 163 418 330 N SD: 0.0849 c. M:-0.2028 c. 2251: 202 206 383 144 394 165 423 334 N SD: 0.0914 c. M: 0.1488 c. 2273: 204 208 387 145 398 167 427 337 N SD: 0.0757 c. M:-0.1377 c. 2285: 205 209 389 146 400 168 429 339 N SD: 0.0639 c. M: 0.1250 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 3.2582 cents 3 x x x 4 x 5 x 6 S SD: 29.2548 cents 4 x x 5 x 6 x 7:8 S SD: 16.0566 cents 5 x 6 x 7 x 8:9:10 S SD: 26.1156 cents 6 x 7 x 8:9:10:11:12 S SD: 17.4307 cents 7 x 8:9 x x 11:13:14 SD: 11.0169 cents 8 x 9:10:11:12:13:14:16 S SD: 13.5881 cents 9 x 10:11:12 x 14:16:18 S SD: 15.2929 cents 10 x 11:13 x 15:16:18:20 SD: 10.7486 cents 11:12 x 14:15 x 17:20:22 SD: 12.2022 cents 12:13:14:15:16:18:19:22:24 SD: 9.2157 cents 13:14:15 x 17:20:21:23:26 SD: 11.2394 cents 14:15:16:18:19:21:22:25:28 SD: 5.5923 cents 15:16:17:19:20:23:24:27:30 SD: 4.8043 cents 28:30:32:36:37:42:44:51:56 SD: 4.4250 cents 29:31:33:37:39:44:46:52:58 SD: 3.0995 cents 30:32:34:38:40:45:48:54:60 SD: 2.8647 cents 36:38:41:46:48:54:57:65:72 SD: 2.2100 cents 45:48:51:57:60:68:71:81:90 SD: 2.0938 cents 46:49:52:59:61:69:73:83:92 SD: 2.0125 cents 51:54:58:65:68:77:81:92:102 SD: 1.5332 cents 61:65:69:78:81:92:97:110:122 SD: 1.4913 cents 65:69:74:83:87:98:103:117:130 SD: 1.4682 cents 75:80:85:96:100:113:119:135:150 SD: 1.0926 cents 91:97:103:116:121:137:144:164:182 SD: 0.9137 cents 105:112:119:134:140:158:166:189:210 SD: 0.8884 cents 111:118:126:142:148:167:176:200:222 SD: 0.8020 cents 113:120:128:144:151:170:179:204:226 SD: 0.7467 cents 127:135:144:162:169:191:201:229:254 SD: 0.6460 cents 142:151:161:181:189:214:225:256:284 SD: 0.5728 cents 156:166:177:199:208:235:247:282:312 SD: 0.4358 cents 188:200:213:240:251:283:298:339:376 SD: 0.3993 cents 231:246:262:295:308:348:366:417:462 SD: 0.3026 cents 291:310:330:371:388:438:461:525:582 SD: 0.2834 cents 308:328:349:393:411:464:488:556:616 SD: 0.2796 cents 312:332:354:398:416:470:494:563:624 SD: 0.2347 cents 342:364:388:436:456:515:542:617:684 SD: 0.2335 cents 344:366:390:439:459:518:545:621:688 SD: 0.1691 cents 435:463:493:555:580:655:689:785:870 SD: 0.1137 cents