Scala analysis: CD03_06_Egypt
Elle apparut d'entre les voiles / Occupe-toi de nous, ô Échanson - Darwîsh Muhammad al-Harîrî (ushshaq misri, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 200.413 cents 200.413281 2: 428.985 cents 428.985414 3: 693.551 cents 693.550756 4: 890.802 cents 890.802288 5: 1014.590 cents 1014.590327 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 185.4097 cents 185.4097 1: 200.4133 cents 200.4133 2: 228.5721 cents 228.5721 3: 264.5653 cents 264.5653 4: 197.2515 cents 197.2515 5: 123.7880 cents 123.7880 6: 185.4097 cents 185.4097
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 123.78804 cents 1: 1 185.40967 cents 1: 1 197.25153 cents 1: 1 200.41328 cents 1: 1 228.57213 cents 1: 1 264.56534 cents 2: 1 309.19771 cents 2: 1 321.03957 cents 2: 1 385.82295 cents 2: 1 428.98541 cents 2: 1 461.81687 cents 2: 1 493.13747 cents 3: 1 506.44924 cents 3: 1 509.61099 cents 3: 1 585.60491 cents 3: 1 614.39509 cents 3: 1 690.38901 cents 3: 1 693.55076 cents 4: 1 706.86253 cents 4: 1 738.18313 cents 4: 1 771.01459 cents 4: 1 814.17705 cents 4: 1 878.96043 cents 4: 1 890.80229 cents 5: 1 935.43466 cents 5: 1 971.42787 cents 5: 1 999.58672 cents 5: 1 1002.74847 cents 5: 1 1014.59033 cents 5: 1 1076.21196 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 : 200.4 429.0 693.6 890.8 1014.6 1200.0 200.4 : 228.6 493.1 690.4 814.2 999.6 1200.0 429.0 : 264.6 461.8 585.6 771.0 971.4 1200.0 693.6 : 197.3 321.0 506.4 706.9 935.4 1200.0 890.8 : 123.8 309.2 509.6 738.2 1002.7 1200.0 1014.6: 185.4 385.8 614.4 879.0 1076.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 123.7880 .. 264.5653 cents 140.77730 cents 123.78804 cents 2: 309.1977 .. 493.1375 cents 183.93976 cents 44.63237 cents 3: 506.4492 .. 693.5508 cents 187.10151 cents 13.31177 cents 4: 706.8625 .. 890.8023 cents 183.93976 cents 13.31177 cents 5: 935.4347 .. 1076.2120 cents 140.77730 cents 44.63237 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 123.78804 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 264.56534 cents Average / Smallest step : 1.615665 Largest / Average step : 1.322827 Largest / Smallest step : 2.137245 Median interval of one step : 198.83241 cents, amount: 0 Least squares average step : 208.51865 cents, oct.: 1251.11190 cents Scale is strictly proper Step pattern alph. order: ABCDEF Step pattern size order : DEFCAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.31177 cents Scale diversity : 1.641964 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.302887 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 : 3.16175 cents Number of recognisable fifths : 3, average 696.9341 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 54.8483 c. M: 93.5508 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 2 1 1 1 P M ME SD: 40.0999 c. M: 86.1283 c. 8: 1 2 2 1 1 1 N D3 S SD: 35.3744 c. M:-56.4492 c. 11: 2 2 2 2 1 2 SP M ME SD: 23.4247 c. M: 39.0053 c. Schulter Hexatonic 12: 2 2 3 2 1 2 P T3 SD: 14.0202 c. M: 28.9854 c. Raga Janasamohini 17: 3 3 4 3 1 3 P SD: 16.9603 c. M:-26.8448 c. 18: 3 3 4 3 2 3 SP T3 SD: 19.8263 c. M: 28.9854 c. 19: 3 4 4 3 2 3 P SD: 7.6722 c. M:-13.1198 c. 31: 5 6 7 5 3 5 P SD: 4.7274 c. M: 8.1387 c. 47: 8 9 10 8 5 7 SP SD: 4.2917 c. M:-6.6863 c. 59: 10 11 13 10 6 9 SP SD: 2.5471 c. M:-4.1130 c. 78: 13 15 17 13 8 12 SP SD: 1.1398 c. M:-1.7838 c. 168: 28 32 37 28 17 26 SP SD: 0.9254 c. M:-2.0549 c. 187: 31 36 41 31 19 29 SP SD: 0.9336 c. M: 1.4828 c. 221: 37 42 49 36 23 34 SP SD: 0.7226 c. M:-1.4719 c. 232: 39 44 51 38 24 36 SP SD: 0.8140 c. M:-1.3109 c. 252: 42 48 56 41 26 39 SP SD: 0.7515 c. M:-1.6873 c. 265: 44 51 58 44 27 41 SP SD: 0.9143 c. M:-1.2732 c. 277: 46 53 61 46 28 43 SP SD: 0.8983 c. M:-1.6165 c. 280: 47 53 62 46 29 43 SP SD: 0.7525 c. M:-1.1240 c. 291: 49 55 64 48 30 45 SP SD: 0.7474 c. M:-1.6486 c. 299: 50 57 66 49 31 46 SP SD: 0.5011 c. M:-0.7943 c. 330: 55 63 73 54 34 51 SP SD: 0.4444 c. M:-0.9947 c. 377: 63 72 83 62 39 58 SP SD: 0.4977 c. M:-0.7943 c. 389: 65 74 86 64 40 60 SP SD: 0.3975 c. M:-0.7144 c. 400: 67 76 88 66 41 62 SP SD: 0.4154 c. M: 0.5903 c. 408: 68 78 90 67 42 63 SP SD: 0.3713 c. M:-0.5669 c. 504: 84 96 111 83 52 78 SP SD: 0.4128 c. M: 0.6936 c. 509: 85 97 112 84 52 79 SP SD: 0.4124 c. M: 0.8379 c. 531: 89 101 117 87 55 82 SP SD: 0.3870 c. M:-0.7167 c. 543: 91 103 120 89 56 84 SP SD: 0.3585 c. M:-0.6917 c. 562: 94 107 124 92 58 87 SP SD: 0.3115 c. M: 0.4108 c. 621: 104 118 137 102 64 96 SP SD: 0.2395 c. M:-0.5529 c. 640: 107 122 141 105 66 99 SP SD: 0.2288 c. M:-0.3896 c. 699: 117 133 154 115 72 108 SP SD: 0.2129 c. M:-0.4451 c. 725: 121 138 160 119 75 112 SP SD: 0.1873 c. M: 0.3195 c. 730: 122 139 161 120 75 113 SP SD: 0.1760 c. M: 0.3438 c. 803: 134 153 177 132 83 124 SP SD: 0.1223 c. M: 0.1642 c. 1192: 199 227 263 196 123 184 SP SD: 0.1131 c. M:-0.1748 c. 1424: 238 271 314 234 147 220 SP SD: 0.0712 c. M:-0.1485 c. 1502: 251 286 331 247 155 232 SP SD: 0.0646 c. M:-0.1193 c. 1533: 256 292 338 252 158 237 SP SD: 0.0464 c. M: 0.1089 c. 1611: 269 307 355 265 166 249 SP SD: 0.0579 c. M:-0.0729 c. 1832: 306 349 404 301 189 283 SP SD: 0.0569 c. M:-0.1174 c. 2305: 385 439 508 379 238 356 SP SD: 0.0548 c. M: 0.1017 c. 2336: 390 445 515 384 241 361 SP SD: 0.0486 c. M: 0.0708 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 4.2021 cents 3 x 4 x 5 x 6 S SD: 23.1198 cents 4 x 5:6 x 7:8 S SD: 15.7835 cents 5 x 6:7:8:9:10 S SD: 35.2887 cents 6:7:8:9:10:11:12 H SD: 17.0840 cents 8:9:10:12:13:14:16 S SD: 13.4636 cents 10:11:13:15:17:18:20 SD: 8.7321 cents 14:16:18:21:23:25:28 SD: 7.7343 cents 15:17:19:22:25:27:30 SD: 6.7401 cents 18:20:23:27:30:32:36 SD: 4.7144 cents 24:27:31:36:40:43:48 SD: 3.1106 cents 25:28:32:37:42:45:50 SD: 2.9035 cents 39:44:50:58:65:70:78 SD: 2.1030 cents 49:55:63:73:82:88:98 SD: 1.1815 cents 89:100:114:133:149:160:178 SD: 0.4723 cents 138:155:177:206:231:248:276 SD: 0.3852 cents 221:248:283:330:370:397:442 SD: 0.3305 cents 235:264:301:351:393:422:470 SD: 0.3267 cents 245:275:314:366:410:440:490 SD: 0.3125 cents 260:292:333:388:435:467:520 SD: 0.1963 cents 349:392:447:521:584:627:698 SD: 0.1801 cents 398:447:510:594:666:715:796 SD: 0.1611 cents 473:531:606:706:791:850:946 SD: 0.1098 cents 562:631:720:839:940:1010:1124 SD: 0.0738 cents