Scala analysis: CD09_13_Egypt
Le cortège de la Tanburâ - Fâtima Al-Shâmiyya (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 312.347 cents 312.346745 2: 534.252 cents 534.252241 3: 679.848 cents 679.848485 4: 848.182 cents 848.181818 5: 1008.092 cents 1008.092453 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 191.9075 cents 191.9075 1: 312.3467 cents 312.3467 2: 221.9055 cents 221.9055 3: 145.5962 cents 145.5962 4: 168.3333 cents 168.3333 5: 159.9106 cents 159.9106 6: 191.9075 cents 191.9075
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 145.59624 cents 1: 1 159.91064 cents 1: 1 168.33333 cents 1: 1 191.90755 cents 1: 1 221.90550 cents 1: 1 312.34674 cents 2: 1 313.92958 cents 2: 1 328.24397 cents 2: 1 351.81818 cents 2: 1 367.50174 cents 2: 1 504.25429 cents 2: 1 534.25224 cents 3: 1 473.84021 cents 3: 1 520.15152 cents 3: 1 535.83507 cents 3: 1 664.16493 cents 3: 1 679.84849 cents 3: 1 726.15979 cents 4: 1 665.74776 cents 4: 1 695.74571 cents 4: 1 832.49826 cents 4: 1 848.18182 cents 4: 1 871.75603 cents 4: 1 886.07042 cents 5: 1 887.65326 cents 5: 1 978.09450 cents 5: 1 1008.09245 cents 5: 1 1031.66667 cents 5: 1 1040.08936 cents 5: 1 1054.40376 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 : 312.3 534.3 679.8 848.2 1008.1 1200.0 312.3 : 221.9 367.5 535.8 695.7 887.7 1200.0 534.3 : 145.6 313.9 473.8 665.7 978.1 1200.0 679.8 : 168.3 328.2 520.2 832.5 1054.4 1200.0 848.2 : 159.9 351.8 664.2 886.1 1031.7 1200.0 1008.1: 191.9 504.3 726.2 871.8 1040.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 145.5962 .. 312.3467 cents 166.75050 cents 145.59624 cents 2: 313.9296 .. 534.2522 cents 220.32266 cents 1.58283 cents 3: 473.8402 .. 726.1598 cents 252.31958 cents -60.41203 cents 4: 665.7478 .. 886.0704 cents 220.32266 cents -60.41203 cents 5: 887.6533 .. 1054.4038 cents 166.75050 cents 1.58283 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 145.59624 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 312.34674 cents Average / Smallest step : 1.373662 Largest / Average step : 1.561734 Largest / Smallest step : 2.145294 Median interval of one step : 180.12044 cents, amount: 0 Least squares average step : 209.38007 cents, oct.: 1256.28041 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : FEACBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.58283 cents Scale diversity : 1.455670 Lumma stability : 0.245298 Lumma impropriety factor : 0.100687 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 : 1.58283 cents Number of recognisable fifths : 1, average 695.7457 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 220.3227 cents: 1 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 81.0434 c. M: 134.2522 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 2 1 1 1 1 1 P M ME SD: 17.6241 c. M:-30.5104 c. 11: 3 2 1 2 1 2 N G SD: 19.4993 c. M: 26.2743 c. 16: 4 3 2 2 2 3 N SD: 17.7673 c. M: 33.0925 c. 18: 5 3 2 3 2 3 N G SD: 13.0526 c. M:-20.9866 c. 20: 5 4 2 3 3 3 N SD: 11.4613 c. M: 19.8485 c. 23: 6 4 3 3 3 4 N SD: 10.1732 c. M: 16.7881 c. 27: 7 5 3 4 4 4 N SD: 8.0597 c. M:-14.1298 c. 31: 8 6 4 4 4 5 N SD: 7.8220 c. M:-16.9257 c. 38: 10 7 5 5 5 6 N SD: 6.6577 c. M:-14.8884 c. 39: 10 7 5 6 5 6 N SD: 8.0279 c. M:-13.3566 c. 42: 11 8 5 6 5 7 N SD: 6.5574 c. M:-8.9610 c. 43: 11 8 5 6 6 7 N SD: 6.8174 c. M: 10.9725 c. 49: 13 9 6 7 6 8 N SD: 5.5902 c. M:-8.9610 c. 50: 13 9 6 7 7 8 N SD: 5.2877 c. M: 8.1818 c. 51: 13 10 6 7 7 8 N SD: 4.2964 c. M:-6.9242 c. 58: 15 11 7 8 8 9 N SD: 3.1229 c. M:-5.7007 c. 65: 17 12 8 9 9 10 N SD: 3.3722 c. M:-7.2922 c. 69: 18 13 8 10 9 11 N SD: 2.6803 c. M:-4.8782 c. 76: 20 14 9 11 10 12 N SD: 2.7415 c. M:-4.4498 c. 81: 21 15 10 11 11 13 N SD: 1.8016 c. M: 3.7374 c. 88: 23 16 11 12 12 14 N SD: 1.8213 c. M: 2.7273 c. 92: 24 17 11 13 12 15 N SD: 1.7047 c. M: 3.7446 c. 99: 26 18 12 14 13 16 N SD: 1.5306 c. M:-2.8048 c. 139: 36 26 17 19 19 22 N SD: 1.6634 c. M:-2.1659 c. 143: 37 27 17 20 19 23 N SD: 1.4703 c. M:-2.8107 c. 150: 39 28 18 21 20 24 N SD: 0.7348 c. M:-1.7478 c. 157: 41 29 19 22 21 25 N SD: 0.6536 c. M:-1.0291 c. 238: 62 44 29 33 32 38 N SD: 0.5977 c. M: 1.1230 c. 249: 65 46 30 35 33 40 N SD: 0.5985 c. M:-0.9063 c. 307: 80 57 37 43 41 49 N SD: 0.5655 c. M:-1.2526 c. 330: 86 61 40 46 44 53 N SD: 0.5404 c. M: 0.9091 c. 337: 88 62 41 47 45 54 N SD: 0.5385 c. M:-1.0064 c. 362: 94 67 44 51 48 58 N SD: 0.4584 c. M: 0.7445 c. 369: 96 68 45 52 49 59 N SD: 0.4578 c. M: 0.9189 c. 395: 103 73 48 55 53 63 N SD: 0.5078 c. M:-0.6578 c. 406: 106 75 49 57 54 65 N SD: 0.4980 c. M:-0.9537 c. 420: 109 78 51 59 56 67 N SD: 0.4561 c. M: 0.9182 c. 427: 111 79 52 60 57 68 N SD: 0.4548 c. M:-0.8068 c. 443: 115 82 54 62 59 71 N SD: 0.4765 c. M: 0.8343 c. 450: 117 83 55 63 60 72 N SD: 0.4142 c. M: 0.9189 c. 487: 127 90 59 68 65 78 N SD: 0.4049 c. M:-0.5896 c. 508: 132 94 62 71 68 81 N SD: 0.4095 c. M:-0.5690 c. 512: 133 95 62 72 68 82 N SD: 0.3107 c. M: 0.6280 c. 519: 135 96 63 73 69 83 N SD: 0.1874 c. M:-0.3731 c. 600: 156 111 73 84 80 96 N SD: 0.2035 c. M: 0.3467 c. 669: 174 124 81 94 89 107 N SD: 0.1812 c. M:-0.2769 c. 676: 176 125 82 95 90 108 N SD: 0.1651 c. M:-0.3389 c. 757: 197 140 92 106 101 121 N SD: 0.1049 c. M:-0.2044 c. 1006: 262 186 122 141 134 161 N SD: 0.1166 c. M:-0.1781 c. 1276: 332 236 155 179 170 204 N SD: 0.0833 c. M: 0.1210 c. 1368: 356 253 166 192 182 219 N SD: 0.0911 c. M: 0.1977 c. 1375: 358 254 167 193 183 220 N SD: 0.0904 c. M: 0.1432 c. 1426: 371 264 173 200 190 228 N SD: 0.0895 c. M: 0.1448 c. 1433: 373 265 174 201 191 229 N SD: 0.0889 c. M:-0.1420 c. 1525: 397 282 185 214 203 244 N SD: 0.0569 c. M: 0.0925 c. 2125: 553 393 258 298 283 340 N SD: 0.0543 c. M: 0.0925 c. 2282: 594 422 277 320 304 365 N SD: 0.0372 c. M:-0.0814 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 11.0533 cents 3 x 4 x 5 x 6 S SD: 17.0611 cents 4:5 x 6 x 7:8 S SD: 21.6530 cents 5:6:7 x 8:9:10 S SD: 12.0335 cents 7:8 x 10:11:13:14 SD: 27.4512 cents 8:10:11:12:13:14:16 S SD: 14.7681 cents 9:11:12:13:15:16:18 SD: 12.7606 cents 10:12:14:15:16:18:20 S SD: 10.6834 cents 11:13:15:16:18:20:22 SD: 7.9183 cents 14:17:19:21:23:25:28 SD: 5.8467 cents 19:23:26:28:31:34:38 SD: 3.6878 cents 25:30:34:37:41:45:50 SD: 2.2002 cents 44:53:60:65:72:79:88 SD: 2.1637 cents 52:62:71:77:85:93:104 SD: 1.6235 cents 66:79:90:98:108:118:132 SD: 1.2161 cents 71:85:97:105:116:127:142 SD: 1.1392 cents 81:97:110:120:132:145:162 SD: 0.8756 cents 100:120:136:148:163:179:200 SD: 0.7694 cents 106:127:144:157:173:190:212 SD: 0.7481 cents 125:150:170:185:204:224:250 SD: 0.7283 cents 127:152:173:188:207:227:254 SD: 0.6633 cents 133:159:181:197:217:238:266 SD: 0.5760 cents 147:176:200:218:240:263:294 SD: 0.4928 cents 152:182:207:225:248:272:304 SD: 0.2338 cents 177:212:241:262:289:317:354 SD: 0.2201 cents 299:358:407:443:488:535:598 SD: 0.2183 cents 318:381:433:471:519:569:636 SD: 0.1716 cents 324:388:441:480:529:580:648 SD: 0.1662 cents 329:394:448:487:537:589:658 SD: 0.1527 cents 343:411:467:508:560:614:686 SD: 0.1522 cents 470:563:640:696:767:841:940 SD: 0.1484 cents 476:570:648:705:777:852:952 SD: 0.0854 cents