Scala analysis: CD03_09_Egypt
L'amour m'a Alangui - Aziz 'Uthmân (nahawand, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 85.905 cents 85.905462 2: 300.183 cents 300.183203 3: 494.740 cents 494.740251 4: 603.913 cents 603.913152 5: 905.487 cents 905.486546 6: 998.835 cents 998.834889 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 201.1651 cents 201.1651 1: 85.9055 cents 85.9055 2: 214.2777 cents 214.2777 3: 194.5570 cents 194.5570 4: 109.1729 cents 109.1729 5: 301.5734 cents 301.5734 6: 93.3483 cents 93.3483 7: 201.1651 cents 201.1651
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 85.90546 cents 1: 1 93.34834 cents 1: 1 109.17290 cents 1: 1 194.55705 cents 1: 1 201.16511 cents 1: 1 214.27774 cents 1: 1 301.57339 cents 2: 1 287.07057 cents 2: 1 294.51345 cents 2: 1 300.18320 cents 2: 1 303.72995 cents 2: 1 394.92174 cents 2: 1 408.83479 cents 2: 1 410.74629 cents 3: 1 380.41892 cents 3: 1 494.74025 cents 3: 1 501.34831 cents 3: 1 504.09464 cents 3: 1 518.00769 cents 3: 1 596.08685 cents 3: 1 605.30334 cents 4: 1 594.69666 cents 4: 1 603.91315 cents 4: 1 681.99231 cents 4: 1 695.90536 cents 4: 1 698.65169 cents 4: 1 705.25975 cents 4: 1 819.58108 cents 5: 1 789.25370 cents 5: 1 791.16521 cents 5: 1 805.07826 cents 5: 1 896.27005 cents 5: 1 899.81680 cents 5: 1 905.48655 cents 5: 1 912.92943 cents 6: 1 898.42661 cents 6: 1 985.72226 cents 6: 1 998.83489 cents 6: 1 1005.44295 cents 6: 1 1090.82710 cents 6: 1 1106.65166 cents 6: 1 1114.09454 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 85.9 300.2 494.7 603.9 905.5 998.8 1200.0 85.9 : 214.3 408.8 518.0 819.6 912.9 1114.1 1200.0 300.2 : 194.6 303.7 605.3 698.7 899.8 985.7 1200.0 494.7 : 109.2 410.7 504.1 705.3 791.2 1005.4 1200.0 603.9 : 301.6 394.9 596.1 682.0 896.3 1090.8 1200.0 905.5 : 93.3 294.5 380.4 594.7 789.3 898.4 1200.0 998.8 : 201.2 287.1 501.3 695.9 805.1 1106.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 85.9055 .. 301.5734 cents 215.66793 cents 85.90546 cents 2: 287.0706 .. 410.7463 cents 123.67572 cents -14.50282 cents 3: 380.4189 .. 605.3033 cents 224.88443 cents -30.32738 cents 4: 594.6967 .. 819.5811 cents 224.88443 cents -10.60669 cents 5: 789.2537 .. 912.9294 cents 123.67572 cents -30.32738 cents 6: 898.4266 .. 1114.0945 cents 215.66793 cents -14.50282 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 85.90546 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 301.57339 cents Average / Smallest step : 1.995549 Largest / Average step : 1.759178 Largest / Smallest step : 3.510526 Median interval of one step : 194.55705 cents, amount: 1 Least squares average step : 167.90419 cents, oct.: 1175.32936 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : AFDCGBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.39019 cents Scale diversity : 1.484243 Lumma stability : 0.143176 Lumma impropriety factor : 0.083556 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 1.39019 cents Number of recognisable fifths : 3, average 699.9389 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 1 1 1 2 0 2 N T3 SD: 105.2024 c. M: 151.8831 c. 8: 1 1 1 1 2 1 1 P M ME S SD: 35.4020 c. M:-64.0945 c. 12: 1 2 2 1 3 1 2 P D3 SD: 6.2464 c. M:-14.0945 c. Locrian natural 6, Maqam Tarznauyn 32: 2 6 5 3 8 3 5 N SD: 7.5926 c. M:-13.6651 c. 37: 3 6 6 4 9 3 6 N SD: 8.1771 c. M:-12.3031 c. 40: 3 7 6 4 10 3 7 N SD: 7.1469 c. M: 14.7403 c. 41: 3 7 7 4 10 3 7 N SD: 5.3438 c. M:-10.7210 c. 44: 3 8 7 4 11 4 7 N SD: 5.0993 c. M:-10.2560 c. 48: 3 9 8 4 12 4 8 N SD: 5.2563 c. M: 10.9055 c. 52: 4 9 8 5 13 4 9 N SD: 5.7515 c. M: 10.1249 c. 53: 4 9 9 5 13 4 9 N SD: 4.2921 c. M:-7.4076 c. 56: 4 10 9 5 14 5 9 N SD: 4.1067 c. M:-8.3080 c. 60: 4 11 10 5 15 5 10 N SD: 3.9523 c. M: 5.9055 c. 68: 5 12 11 6 17 6 11 N SD: 3.7972 c. M:-7.0475 c. 72: 5 13 12 6 18 6 12 N SD: 3.4035 c. M: 5.4865 c. 73: 5 13 12 7 18 6 12 N SD: 3.1720 c. M:-4.3060 c. 83: 6 15 13 8 21 6 14 N SD: 3.0189 c. M:-5.3568 c. 85: 6 15 14 8 21 7 14 N SD: 2.4411 c. M: 3.7126 c. 97: 7 17 16 9 24 8 16 N SD: 2.1557 c. M: 3.2760 c. 109: 8 19 18 10 27 9 18 N SD: 2.1639 c. M:-3.0000 c. 119: 9 21 19 11 30 9 20 N SD: 2.2436 c. M:-4.8508 c. 123: 9 22 20 11 31 9 21 N SD: 2.2271 c. M: 3.7129 c. 127: 9 23 20 12 32 10 21 N SD: 1.9927 c. M: 3.4017 c. 129: 9 23 21 12 32 10 22 N SD: 2.2898 c. M: 3.4861 c. 131: 9 24 21 12 33 10 22 N SD: 1.6443 c. M: 3.4627 c. 139: 10 25 22 13 35 11 23 N SD: 1.6495 c. M: 2.6539 c. 143: 10 26 23 13 36 11 24 N SD: 1.1047 c. M: 1.9894 c. 155: 11 28 25 14 39 12 26 N SD: 0.7835 c. M:-1.7523 c. 167: 12 30 27 15 42 13 28 N SD: 0.7522 c. M:-1.6132 c. 179: 13 32 29 16 45 14 30 N SD: 0.9356 c. M:-1.4928 c. 237: 17 42 39 21 60 18 40 N SD: 1.1182 c. M:-1.4623 c. 240: 17 43 39 22 60 19 40 N SD: 0.7267 c. M:-1.1651 c. 252: 18 45 41 23 63 20 42 N SD: 0.6460 c. M:-1.1651 c. 335: 24 60 54 31 84 26 56 N SD: 0.7317 c. M:-1.4600 c. 347: 25 62 56 32 87 27 58 N SD: 0.6658 c. M:-1.2742 c. 352: 25 63 57 32 89 27 59 N SD: 0.6210 c. M:-1.3316 c. 359: 26 64 58 33 90 28 60 N SD: 0.6703 c. M:-1.1008 c. 363: 26 65 59 33 91 28 61 N SD: 0.6663 c. M:-1.1275 c. 364: 26 65 59 33 92 28 61 N SD: 0.4978 c. M:-1.1069 c. 376: 27 67 61 34 95 29 63 N SD: 0.4538 c. M:-0.8964 c. 388: 28 69 63 35 98 30 65 N SD: 0.4934 c. M: 0.8204 c. 407: 29 73 66 37 102 32 68 N SD: 0.4838 c. M:-0.6737 c. 419: 30 75 68 38 105 33 70 N SD: 0.4862 c. M:-0.7251 c. 447: 32 80 72 41 112 35 75 N SD: 0.4650 c. M: 0.7886 c. 461: 33 82 75 42 116 36 77 N SD: 0.4463 c. M: 0.8340 c. 505: 36 90 82 46 127 39 85 N SD: 0.5033 c. M: 0.8151 c. 517: 37 92 84 47 130 40 87 N SD: 0.4711 c. M: 0.7691 c. 519: 37 93 84 47 131 40 87 N SD: 0.4216 c. M:-0.8718 c. 531: 38 95 86 48 134 41 89 N SD: 0.3747 c. M:-0.7281 c. 543: 39 97 88 49 137 42 91 N SD: 0.3797 c. M: 0.5982 c. 572: 41 102 93 52 144 44 96 N SD: 0.3711 c. M:-0.8072 c. 584: 42 104 95 53 147 45 98 N SD: 0.3678 c. M:-0.6778 c. 604: 43 108 98 55 152 47 101 N SD: 0.3255 c. M:-0.5029 c. 616: 44 110 100 56 155 48 103 N SD: 0.2587 c. M:-0.5158 c. 628: 45 112 102 57 158 49 105 N SD: 0.2435 c. M:-0.5282 c. 771: 55 138 125 70 194 60 129 N SD: 0.2527 c. M:-0.3869 c. 783: 56 140 127 71 197 61 131 N SD: 0.2262 c. M:-0.3988 c. 795: 57 142 129 72 200 62 133 N SD: 0.2387 c. M:-0.4104 c. 811: 58 145 131 74 204 63 136 N SD: 0.2340 c. M: 0.5356 c. 823: 59 147 133 75 207 64 138 N SD: 0.2157 c. M: 0.4511 c. 835: 60 149 135 76 210 65 140 N SD: 0.2342 c. M: 0.3690 c. 852: 61 152 138 78 214 66 143 N SD: 0.2242 c. M: 0.3741 c. 864: 62 154 140 79 217 67 145 N SD: 0.2009 c. M: 0.2958 c. 912: 65 163 148 83 229 71 153 N SD: 0.1894 c. M: 0.3791 c. 924: 66 165 150 84 232 72 155 N SD: 0.1593 c. M: 0.2917 c. 1007: 72 180 163 92 253 78 169 N SD: 0.1742 c. M:-0.2577 c. 1019: 73 182 165 93 256 79 171 N SD: 0.1382 c. M: 0.2088 c. 1031: 74 184 167 94 259 80 173 N SD: 0.1375 c. M:-0.2245 c. 1271: 91 227 206 116 319 99 213 N SD: 0.1325 c. M:-0.3355 c. 1283: 92 229 208 117 322 100 215 N SD: 0.1358 c. M:-0.2957 c. 1288: 92 230 209 117 324 100 216 N SD: 0.1320 c. M: 0.1912 c. 1300: 93 232 211 118 327 101 218 N SD: 0.1157 c. M: 0.2208 c. 1455: 104 260 236 132 366 113 244 N SD: 0.1079 c. M: 0.2018 c. 1467: 105 262 238 133 369 114 246 N SD: 0.1078 c. M: 0.2322 c. 1480: 106 264 240 135 372 115 248 N SD: 0.1304 c. M:-0.1891 c. 1492: 107 266 242 136 375 116 250 N SD: 0.1245 c. M: 0.1832 c. 1540: 110 275 250 140 387 120 258 N SD: 0.1144 c. M: 0.1912 c. 1552: 111 277 252 141 390 121 260 N SD: 0.1048 c. M: 0.1832 c. 1635: 117 292 265 149 411 127 274 N SD: 0.0963 c. M:-0.2015 c. 1647: 118 294 267 150 414 128 276 N SD: 0.0802 c. M:-0.1601 c. 1814: 130 324 294 165 456 141 304 N SD: 0.0941 c. M:-0.1476 c. 1902: 136 340 308 173 478 148 319 N SD: 0.1064 c. M:-0.1323 c. 1914: 137 342 310 174 481 149 321 N SD: 0.1052 c. M: 0.1574 c. 1943: 139 347 315 177 488 151 326 N SD: 0.0870 c. M: 0.1730 c. 1955: 140 349 317 178 491 152 328 N SD: 0.0830 c. M: 0.1648 c. 2307: 165 412 374 210 580 179 387 N SD: 0.0791 c. M: 0.1353 c. 2319: 166 414 376 211 583 180 389 N SD: 0.0635 c. M: 0.1286 c. 2331: 167 416 378 212 586 181 391 N SD: 0.0627 c. M: 0.1219 c. 2363: 169 422 383 215 594 184 396 N SD: 0.0746 c. M: 0.1148 c. 2375: 170 424 385 216 597 185 398 N SD: 0.0700 c. M: 0.1237 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 49.0209 cents 3 x x 4 x 5 x 6 S SD: 7.1282 cents 4 x 5 x 6 x 7:8 S SD: 33.4769 cents 5 x 6 x 7:8:9:10 S SD: 19.4692 cents 6 x 7:8:9:10:11:12 S SD: 19.5308 cents 7 x 8:9:10:12 x 14 S SD: 19.2556 cents 8 x 10 x 11 x 14:16 SD: 26.3216 cents 9:10:11:12:13:15:16:18 SD: 16.3361 cents 10:11:12:13:14:17:18:20 SD: 13.6434 cents 12:13:14:16:17:20:21:24 SD: 10.3433 cents 14:15:17:19:20:24:25:28 SD: 9.6281 cents 15:16:18:20:21:25:27:30 SD: 6.6597 cents 17:18:20:23:24:29:30:34 SD: 6.3828 cents 19:20:23:25:27:32:34:38 SD: 5.4048 cents 21:22:25:28:30:35:37:42 SD: 4.5334 cents 22:23:26:29:31:37:39:44 SD: 3.6832 cents 33:35:39:44:47:56:59:66 SD: 3.5184 cents 36:38:43:48:51:61:64:72 SD: 1.9678 cents 57:60:68:76:81:96:101:114 SD: 1.7352 cents 58:61:69:77:82:98:103:116 SD: 1.1709 cents 79:83:94:105:112:133:141:158 SD: 0.8569 cents 96:101:114:128:136:162:171:192 SD: 0.6911 cents 100:105:119:133:142:169:178:200 SD: 0.6854 cents 115:121:137:153:163:194:205:230 SD: 0.5868 cents 137:144:163:182:194:231:244:274 SD: 0.5283 cents 160:168:190:213:227:270:285:320 SD: 0.5103 cents 175:184:208:233:248:295:312:350 SD: 0.4471 cents 196:206:233:261:278:331:349:392 SD: 0.3533 cents 218:229:259:290:309:368:388:436 SD: 0.3439 cents 233:245:277:310:330:393:415:466 SD: 0.2869 cents 275:289:327:366:390:464:490:550 SD: 0.2239 cents 333:350:396:443:472:562:593:666 SD: 0.1314 cents 592:622:704:788:839:999:1054:1184 SD: 0.1031 cents