Scala analysis: CD07_02_Egypt
Ô fille, de ton nom je ne sais rien / Nous commencerons par l'élégant - Les Bédouins du Fayyûm (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 406.205 cents 406.205029 2: 569.573 cents 569.573450 3: 620.776 cents 620.776458 4: 978.700 cents 978.699640 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 221.3004 cents 221.3004 1: 406.2050 cents 406.2050 2: 163.3684 cents 163.3684 3: 51.2030 cents 51.2030 4: 357.9232 cents 357.9232 5: 221.3004 cents 221.3004
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 51.20301 cents 1: 1 163.36842 cents 1: 1 221.30036 cents 1: 1 357.92318 cents 1: 1 406.20503 cents 2: 1 214.57143 cents 2: 1 409.12619 cents 2: 1 569.57345 cents 2: 1 579.22354 cents 2: 1 627.50539 cents 3: 1 572.49461 cents 3: 1 620.77646 cents 3: 1 630.42655 cents 3: 1 790.87381 cents 3: 1 985.42857 cents 4: 1 793.79497 cents 4: 1 842.07682 cents 4: 1 978.69964 cents 4: 1 1036.63158 cents 4: 1 1148.79699 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 : 406.2 569.6 620.8 978.7 1200.0 406.2 : 163.4 214.6 572.5 793.8 1200.0 569.6 : 51.2 409.1 630.4 1036.6 1200.0 620.8 : 357.9 579.2 985.4 1148.8 1200.0 978.7 : 221.3 627.5 790.9 842.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 51.2030 .. 406.2050 cents 355.00202 cents 51.20301 cents 2: 214.5714 .. 627.5054 cents 412.93396 cents -191.63360 cents 3: 572.4946 .. 985.4286 cents 412.93396 cents -55.01078 cents 4: 793.7950 .. 1148.7970 cents 355.00202 cents -191.63360 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 51.20301 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 406.20503 cents Average / Smallest step : 4.687225 Largest / Average step : 1.692521 Largest / Smallest step : 7.933226 Median interval of one step : 221.30036 cents, amount: 1 Least squares average step : 242.22691 cents, oct.: 1211.13453 cents Scale is not proper Step pattern alph. order: ABCDE Step pattern size order : EBADC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.92116 cents Scale diversity : 1.489125 Lumma stability : 0.085338 Lumma impropriety factor : 0.365232 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 : 2.92116 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: 105.6553 c. M: 166.2050 c. 6: 2 1 0 2 1 N T3 SD: 19.2335 c. M:-30.4266 c. 15: 5 2 1 4 3 N SD: 13.0336 c. M:-19.2235 c. 17: 6 2 1 5 3 N SD: 11.1850 c. M:-17.3244 c. 21: 7 3 1 6 4 N SD: 5.5781 c. M:-7.7950 c. 27: 9 4 1 8 5 N SD: 4.6638 c. M:-8.2043 c. 38: 13 5 2 11 7 N SD: 5.2299 c. M:-10.8025 c. 44: 15 6 2 13 8 N SD: 3.7470 c. M:-6.4963 c. 48: 16 7 2 14 9 N SD: 4.4604 c. M: 6.2050 c. 50: 17 7 2 15 9 N SD: 4.0745 c. M:-6.4266 c. 65: 22 9 3 19 12 N SD: 3.3276 c. M:-6.9158 c. 66: 22 9 3 20 12 N SD: 4.2476 c. M: 6.2050 c. 70: 24 9 3 21 13 N SD: 3.4002 c. M:-5.2235 c. 71: 24 10 3 21 13 N SD: 3.1469 c. M:-5.0744 c. 76: 26 10 3 23 14 N SD: 2.9978 c. M: 4.9870 c. 85: 29 11 4 25 16 N SD: 3.3206 c. M: 4.8676 c. 91: 31 12 4 27 17 N SD: 2.1168 c. M: 2.8755 c. 97: 33 13 4 29 18 N SD: 1.5003 c. M: 2.2198 c. 118: 40 16 5 35 22 N SD: 1.1336 c. M: 2.4285 c. 124: 42 17 5 37 23 N SD: 1.0644 c. M: 1.4216 c. 141: 48 19 6 42 26 N SD: 1.0932 c. M:-2.3056 c. 162: 55 22 7 48 30 N SD: 1.0021 c. M:-1.4458 c. 168: 57 23 7 50 31 N SD: 0.9760 c. M:-1.8551 c. 207: 70 28 9 62 38 N SD: 0.8425 c. M: 1.4575 c. 228: 77 31 10 68 42 N SD: 0.6860 c. M: 1.1524 c. 234: 79 32 10 70 43 N SD: 0.6272 c. M: 1.0768 c. 278: 94 38 12 83 51 N SD: 0.6684 c. M:-1.1565 c. 305: 103 42 13 91 56 N SD: 0.8311 c. M:-0.9725 c. 308: 104 42 13 92 57 N SD: 0.8781 c. M: 1.2959 c. 310: 105 42 13 93 57 N SD: 0.7489 c. M: 1.4216 c. 325: 110 44 14 97 60 N SD: 0.4893 c. M: 0.9581 c. 331: 112 45 14 99 61 N SD: 0.4246 c. M: 0.8369 c. 346: 117 47 15 103 64 N SD: 0.4987 c. M: 0.7873 c. 348: 118 47 15 104 64 N SD: 0.4956 c. M:-0.6915 c. 352: 119 48 15 105 65 N SD: 0.3246 c. M: 0.5232 c. 369: 125 50 16 110 68 N SD: 0.3051 c. M: 0.4678 c. 375: 127 51 16 112 69 N SD: 0.2407 c. M:-0.5004 c. 396: 134 54 17 118 73 N SD: 0.2162 c. M:-0.4357 c. 493: 167 67 21 147 91 N SD: 0.1609 c. M:-0.2858 c. 721: 244 98 31 215 133 N SD: 0.1716 c. M: 0.3640 c. 727: 246 99 31 217 134 N SD: 0.1182 c. M: 0.1528 c. 889: 301 121 38 265 164 N SD: 0.0876 c. M:-0.1459 c. 1123: 380 153 48 335 207 N SD: 0.0876 c. M: 0.1498 c. 1220: 413 166 52 364 225 N SD: 0.0625 c. M: 0.1207 c. 1247: 422 170 53 372 230 N SD: 0.0820 c. M:-0.1138 c. 1264: 428 172 54 377 233 N SD: 0.0885 c. M:-0.1241 c. 1589: 538 216 68 474 293 N SD: 0.0823 c. M: 0.1587 c. 1595: 540 217 68 476 294 N SD: 0.0714 c. M:-0.1091 c. 1616: 547 220 69 482 298 N SD: 0.0146 c. M: 0.0190 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 40.5893 cents 3 x 4 x 5:6 S SD: 39.4638 cents 4:5 x 6:7:8 S SD: 21.0403 cents 5:6:7 x 9:10 SD: 24.8523 cents 6 x 8:9:11:12 SD: 32.3067 cents 7:9 x 10:12:14 SD: 13.5127 cents 8:10:11 x 14:16 SD: 7.1869 cents 9:11 x 13:16:18 SD: 15.8321 cents 10:13:14 x 18:20 SD: 15.7821 cents 11:14:15:16:19:22 SD: 11.0041 cents 12:15 x 17:21:24 SD: 7.1114 cents 15:19:21 x 26:30 SD: 7.3983 cents 16:20:22:23:28:32 SD: 5.9418 cents 17:22 x 24:30:34 SD: 11.7240 cents 18:23:25:26:32:36 SD: 5.9460 cents 22:28:31 x 39:44 SD: 7.3573 cents 23:29:32:33:40:46 SD: 4.3513 cents 26:33:36:37:46:52 SD: 3.2383 cents 30:38:42:43:53:60 SD: 3.0032 cents 38:48:53:54:67:76 SD: 2.8861 cents 41:52:57:59:72:82 SD: 2.2830 cents 46:58:64:66:81:92 SD: 1.3741 cents 49:62:68:70:86:98 SD: 1.2763 cents 72:91:100:103:127:144 SD: 0.8156 cents 95:120:132:136:167:190 SD: 0.5506 cents 121:153:168:173:213:242 SD: 0.4731 cents 162:205:225:232:285:324 SD: 0.4032 cents 167:211:232:239:294:334 SD: 0.2975 cents 234:296:325:335:412:468 SD: 0.2706 cents 246:311:342:352:433:492 SD: 0.2030 cents 329:416:457:471:579:658 SD: 0.1531 cents 408:516:567:584:718:816 SD: 0.0906 cents 480:607:667:687:845:960 SD: 0.0891 cents 575:727:799:823:1012:1150 SD: 0.0271 cents