Scala analysis: CD10_17_Egypt
Fi et shôb / Pour l'amour de Dieu / Ha an Anchou / En Thok Gâr / Aki - Mîkhâ'îl Jirjis al-Batânûnî (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 129.489 cents 129.488605 2: 375.652 cents 375.652174 3: 519.660 cents 519.659864 4: 938.335 cents 938.335238 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 261.6648 cents 261.6648 1: 129.4886 cents 129.4886 2: 246.1636 cents 246.1636 3: 144.0077 cents 144.0077 4: 418.6754 cents 418.6754 5: 261.6648 cents 261.6648
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 129.48861 cents 1: 1 144.00769 cents 1: 1 246.16357 cents 1: 1 261.66476 cents 1: 1 418.67537 cents 2: 1 375.65217 cents 2: 1 390.17126 cents 2: 1 391.15337 cents 2: 1 562.68306 cents 2: 1 680.34014 cents 3: 1 519.65986 cents 3: 1 637.31694 cents 3: 1 808.84663 cents 3: 1 809.82874 cents 3: 1 824.34783 cents 4: 1 781.32463 cents 4: 1 938.33524 cents 4: 1 953.83643 cents 4: 1 1055.99231 cents 4: 1 1070.51140 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 129.5 375.7 519.7 938.3 1200.0 129.5 : 246.2 390.2 808.8 1070.5 1200.0 375.7 : 144.0 562.7 824.3 953.8 1200.0 519.7 : 418.7 680.3 809.8 1056.0 1200.0 938.3 : 261.7 391.2 637.3 781.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 129.4886 .. 418.6754 cents 289.18677 cents 129.48861 cents 2: 375.6522 .. 680.3401 cents 304.68796 cents -43.02320 cents 3: 519.6599 .. 824.3478 cents 304.68796 cents -160.68027 cents 4: 781.3246 .. 1070.5114 cents 289.18677 cents -43.02320 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 129.48861 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 418.67537 cents Average / Smallest step : 1.853445 Largest / Average step : 1.744481 Largest / Smallest step : 3.233299 Median interval of one step : 246.16357 cents, amount: 1 Least squares average step : 221.69297 cents, oct.: 1108.46486 cents Scale is not proper Step pattern alph. order: ABCDE Step pattern size order : ACBED Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 27.52201 cents Scale diversity : 1.581848 Lumma stability : 0.215814 Lumma impropriety factor : 0.205606 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 0.98211 cents Number of recognisable fifths : 0 Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 0 2 1 N T3 SD: 70.9133 c. M:-110.5114 c. 6: 1 1 1 2 1 P M ME S SD: 56.2526 c. M:-80.3401 c. 7: 1 1 1 2 2 N D3 S SD: 43.4869 c. M: 81.1924 c. 8: 1 1 1 3 2 N SD: 49.9321 c. M: 75.6522 c. 9: 1 2 1 3 2 N G T3 SD: 12.8030 c. M:-24.3478 c. 19: 2 4 2 7 4 N T3 SD: 7.8713 c. M: 14.3967 c. 28: 3 6 3 10 6 N T3 SD: 5.5030 c. M:-10.0621 c. 46: 5 9 6 16 10 N SD: 4.7903 c. M: 10.4348 c. 47: 5 10 5 17 10 N T3 SD: 5.9779 c. M: 9.0216 c. 49: 5 10 6 17 11 N SD: 6.4352 c. M: 8.3052 c. 51: 6 10 6 18 11 N SD: 5.4663 c. M:-11.6879 c. 54: 6 11 6 19 12 N SD: 4.8456 c. M: 8.5488 c. 55: 6 11 7 19 12 N SD: 2.8408 c. M: 4.7431 c. 64: 7 13 8 22 14 N SD: 2.5590 c. M:-5.3401 c. 74: 8 15 9 26 16 N SD: 1.5905 c. M: 2.6792 c. 83: 9 17 10 29 18 N SD: 0.7957 c. M:-1.4238 c. 224: 24 46 27 78 49 N SD: 0.6268 c. M: 0.9172 c. 233: 25 48 28 81 51 N SD: 0.6149 c. M: 0.9962 c. 252: 27 52 30 88 55 N SD: 0.5592 c. M: 0.9172 c. 307: 33 63 37 107 67 N SD: 0.3191 c. M: 0.4984 c. 390: 42 80 47 136 85 N SD: 0.2323 c. M:-0.3401 c. 610: 66 125 73 213 133 N SD: 0.2137 c. M:-0.3475 c. 642: 69 132 77 224 140 N SD: 0.2327 c. M: 0.5166 c. 674: 73 138 81 235 147 N SD: 0.2385 c. M:-0.4817 c. 693: 75 142 83 242 151 N SD: 0.2126 c. M:-0.3815 c. 725: 78 149 87 253 158 N SD: 0.1894 c. M: 0.3852 c. 799: 86 164 96 279 174 N SD: 0.2258 c. M:-0.3381 c. 808: 87 166 97 282 176 N SD: 0.1922 c. M: 0.2807 c. 834: 90 171 100 291 182 N SD: 0.1487 c. M: 0.2354 c. 843: 91 173 101 294 184 N SD: 0.1400 c. M: 0.2569 c. 917: 99 188 110 320 200 N SD: 0.0817 c. M: 0.1397 c. 1000: 108 205 120 349 218 N SD: 0.0677 c. M:-0.1114 c. 1307: 141 268 157 456 285 N SD: 0.0624 c. M: 0.1357 c. 1316: 142 270 158 459 287 N SD: 0.0487 c. M:-0.0970 c. 1843: 199 378 221 643 402 N SD: 0.0639 c. M:-0.0827 c. 1926: 208 395 231 672 420 N SD: 0.0550 c. M:-0.1064 c. 2150: 232 441 258 750 469 N SD: 0.0493 c. M: 0.1027 c. 2233: 241 458 268 779 487 N SD: 0.0239 c. M: 0.0459 c. 2316: 250 475 278 808 505 N SD: 0.0243 c. M:-0.0451 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 91.1476 cents 3 x x 4:5:6 S SD: 19.3812 cents 4 x 5 x 7:8 SD: 10.7670 cents 5 x 6:7:9:10 SD: 29.4045 cents 6 x 7:8:10:12 S SD: 30.8363 cents 7:8:9 x 12:14 S SD: 29.4737 cents 8:9:10:11:14:16 SD: 17.4174 cents 9:10:11:12:15:18 S SD: 16.7074 cents 11:12:14:15:19:22 SD: 10.1191 cents 12:13:15:16:21:24 SD: 7.9827 cents 17:18:21:23:29:34 SD: 7.0152 cents 24:26:30:32:41:48 SD: 5.6194 cents 25:27:31:34:43:50 SD: 2.7230 cents 37:40:46:50:64:74 SD: 2.3734 cents 49:53:61:66:84:98 SD: 1.9671 cents 54:58:67:73:93:108 SD: 1.4306 cents 74:80:92:100:127:148 SD: 1.3405 cents 75:81:93:101:129:150 SD: 1.3288 cents 78:84:97:105:134:156 SD: 1.1363 cents 100:108:124:135:172:200 SD: 0.9980 cents 103:111:128:139:177:206 SD: 0.2722 cents 231:249:287:312:397:462 SD: 0.2384 cents 297:320:369:401:511:594 SD: 0.2334 cents 334:360:415:451:574:668 SD: 0.2025 cents 346:373:430:467:595:692 SD: 0.2018 cents 360:388:447:486:619:720 SD: 0.1886 cents 388:418:482:524:667:776 SD: 0.1745 cents 400:431:497:540:688:800 SD: 0.1339 cents 503:542:625:679:865:1006 SD: 0.0994 cents 528:569:656:713:908:1056 SD: 0.0946 cents