Scala analysis: CD02_15_Egypt
Emplis ma coupe et Abreuve-moi / Ô petit croissant de lune - Darwîsh Muhammad al-Harîrî (shawrak, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 120.074 cents 120.074158 2: 268.473 cents 268.473160 3: 468.084 cents 468.084465 4: 596.204 cents 596.204471 5: 671.140 cents 671.139925 6: 833.718 cents 833.718243 7: 961.452 cents 961.451598 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 238.5484 cents 238.5484 1: 120.0742 cents 120.0742 2: 148.3990 cents 148.3990 3: 199.6113 cents 199.6113 4: 128.1200 cents 128.1200 5: 74.9355 cents 74.9355 6: 162.5783 cents 162.5783 7: 127.7334 cents 127.7334 8: 238.5484 cents 238.5484
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 74.93545 cents 1: 1 120.07416 cents 1: 1 127.73335 cents 1: 1 128.12001 cents 1: 1 148.39900 cents 1: 1 162.57832 cents 1: 1 199.61131 cents 1: 1 238.54840 cents 2: 1 203.05546 cents 2: 1 237.51377 cents 2: 1 268.47316 cents 2: 1 290.31167 cents 2: 1 327.73131 cents 2: 1 348.01031 cents 2: 1 358.62256 cents 2: 1 366.28176 cents 3: 1 365.24713 cents 3: 1 365.63378 cents 3: 1 402.66676 cents 3: 1 468.08447 cents 3: 1 476.13031 cents 3: 1 486.35591 cents 3: 1 507.02156 cents 3: 1 528.86008 cents 4: 1 493.36713 cents 4: 1 551.06577 cents 4: 1 565.24508 cents 4: 1 596.20447 cents 4: 1 603.79553 cents 4: 1 634.75492 cents 4: 1 648.93423 cents 4: 1 706.63287 cents 5: 1 671.13992 cents 5: 1 692.97844 cents 5: 1 713.64409 cents 5: 1 723.86969 cents 5: 1 731.91553 cents 5: 1 797.33324 cents 5: 1 834.36622 cents 5: 1 834.75287 cents 6: 1 833.71824 cents 6: 1 841.37744 cents 6: 1 851.98969 cents 6: 1 872.26869 cents 6: 1 909.68833 cents 6: 1 931.52684 cents 6: 1 962.48623 cents 6: 1 996.94454 cents 7: 1 961.45160 cents 7: 1 1000.38869 cents 7: 1 1037.42168 cents 7: 1 1051.60100 cents 7: 1 1071.87999 cents 7: 1 1072.26665 cents 7: 1 1079.92584 cents 7: 1 1125.06455 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 120.1 268.5 468.1 596.2 671.1 833.7 961.5 1200.0 120.1 : 148.4 348.0 476.1 551.1 713.6 841.4 1079.9 1200.0 268.5 : 199.6 327.7 402.7 565.2 693.0 931.5 1051.6 1200.0 468.1 : 128.1 203.1 365.6 493.4 731.9 852.0 1000.4 1200.0 596.2 : 74.9 237.5 365.2 603.8 723.9 872.3 1071.9 1200.0 671.1 : 162.6 290.3 528.9 648.9 797.3 996.9 1125.1 1200.0 833.7 : 127.7 366.3 486.4 634.8 834.4 962.5 1037.4 1200.0 961.5 : 238.5 358.6 507.0 706.6 834.8 909.7 1072.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 74.9355 .. 238.5484 cents 163.61295 cents 74.93545 cents 2: 203.0555 .. 366.2818 cents 163.22630 cents -35.49294 cents 3: 365.2471 .. 528.8601 cents 163.61295 cents -1.03463 cents 4: 493.3671 .. 706.6329 cents 213.26573 cents -35.49294 cents 5: 671.1399 .. 834.7529 cents 163.61295 cents -35.49294 cents 6: 833.7182 .. 996.9445 cents 163.22630 cents -1.03463 cents 7: 961.4516 .. 1125.0645 cents 163.61295 cents -35.49294 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 74.93545 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 238.54840 cents Average / Smallest step : 2.001723 Largest / Average step : 1.590323 Largest / Smallest step : 3.183385 Median interval of one step : 138.25950 cents, amount: 0 Least squares average step : 142.81501 cents, oct.: 1142.52008 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : BEGDAFCH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.64798 cents Scale diversity : 1.668739 Lumma stability : 0.124892 Lumma impropriety factor : 0.120034 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 0.38665 cents Number of recognisable fifths : 3, average 704.4185 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 0 2 0 2 N T3 SD: 43.9622 c. M: 71.1399 c. 9: 1 1 1 1 1 1 1 2 P M ME SD: 36.5973 c. M: 68.0845 c. 10: 1 1 2 1 1 1 1 2 P D3 S SD: 20.6034 c. M:-48.8601 c. 12: 1 2 2 1 1 1 2 2 N D3 SD: 27.1241 c. M:-38.5484 c. Phrygian/Locrian mixed 13: 1 2 2 1 1 2 1 3 N SD: 24.4568 c. M: 42.3583 c. 14: 1 2 2 2 1 2 1 3 P D3 SD: 22.3370 c. M: 39.5130 c. 16: 2 2 2 2 1 2 2 3 P T3 SD: 17.6968 c. M:-31.5268 c. 18: 2 2 3 2 1 3 1 4 N SD: 16.1699 c. M:-32.9484 c. 20: 2 2 4 2 1 3 2 4 N SD: 11.8995 c. M: 28.4732 c. 21: 2 3 3 2 2 3 2 4 P SD: 15.5121 c. M: 24.7759 c. 22: 2 3 4 2 1 3 3 4 N SD: 14.1671 c. M:-22.8246 c. 23: 2 3 4 2 2 3 2 5 N SD: 13.0111 c. M: 22.3212 c. 26: 3 3 4 3 2 3 3 5 P SD: 11.0908 c. M:-21.1678 c. 28: 3 3 5 3 2 3 3 6 N SD: 12.0517 c. M: 19.4325 c. 29: 3 3 5 3 2 4 3 6 N SD: 11.6784 c. M: 20.1973 c. 30: 3 4 5 3 2 4 3 6 N SD: 7.1530 c. M:-11.9155 c. 36: 4 4 6 4 2 5 4 7 N SD: 5.5095 c. M:-13.2592 c. 39: 4 5 6 4 3 5 4 8 N SD: 6.6854 c. M: 11.5891 c. 40: 4 5 7 4 2 6 4 8 N SD: 6.3678 c. M:-11.9155 c. 46: 5 5 8 5 3 6 5 9 N SD: 5.5653 c. M:-10.3606 c. 49: 5 6 8 5 3 7 5 10 N SD: 5.3075 c. M: 9.9154 c. 50: 5 6 9 5 3 7 5 10 N SD: 5.2286 c. M:-11.9155 c. 52: 5 7 8 6 3 7 6 10 N SD: 5.2857 c. M:-8.4499 c. 57: 6 7 9 6 4 8 6 11 N SD: 5.7127 c. M:-8.3870 c. 59: 6 7 10 6 4 8 6 12 N SD: 3.3835 c. M: 6.3740 c. 62: 6 8 10 7 4 8 7 12 N SD: 4.0320 c. M:-6.2903 c. 66: 7 8 11 7 4 9 7 13 N SD: 3.8757 c. M:-7.1986 c. 70: 7 9 11 8 4 10 7 14 N SD: 3.9320 c. M:-6.2818 c. 71: 7 9 12 7 5 9 8 14 N SD: 3.7723 c. M: 5.5492 c. 72: 7 9 12 8 4 10 8 14 N SD: 3.1354 c. M:-5.2151 c. 79: 8 10 13 8 5 11 8 16 N SD: 3.1566 c. M:-4.9446 c. 82: 8 10 14 9 5 11 9 16 N SD: 3.0152 c. M: 5.0585 c. 89: 9 11 15 9 6 12 9 18 N SD: 2.6849 c. M: 4.1482 c. 95: 9 12 16 10 6 13 10 19 N SD: 2.8037 c. M: 6.3899 c. 102: 10 13 17 11 6 14 11 20 N SD: 2.3563 c. M:-3.7955 c. 111: 11 14 18 12 7 15 12 22 N SD: 1.5983 c. M: 3.2196 c. 121: 12 15 20 13 8 16 13 24 N SD: 1.5033 c. M:-3.2402 c. 131: 13 16 22 14 8 18 14 26 N SD: 1.4363 c. M: 2.8243 c. 147: 15 18 24 16 9 20 16 29 N SD: 1.6497 c. M: 2.7783 c. 151: 15 19 25 16 9 21 16 30 N SD: 1.4922 c. M: 3.5903 c. 157: 16 19 26 17 10 21 17 31 N SD: 1.3386 c. M:-2.2188 c. 161: 16 20 27 17 10 22 17 32 N SD: 0.7191 c. M:-1.4808 c. 272: 27 34 45 29 17 37 29 54 N SD: 0.5379 c. M: 0.9565 c. 318: 32 39 53 34 20 43 34 63 N SD: 0.4772 c. M:-0.8126 c. 429: 43 53 71 46 27 58 46 85 N SD: 0.4728 c. M: 0.9516 c. 433: 43 54 72 46 27 59 46 86 N SD: 0.4511 c. M: 0.9056 c. 459: 46 57 76 49 29 62 49 91 N SD: 0.4701 c. M:-0.8079 c. 469: 47 58 78 50 29 64 50 93 N SD: 0.3883 c. M: 0.7775 c. 479: 48 59 80 51 30 65 51 95 N SD: 0.3536 c. M:-0.5526 c. 590: 59 73 98 63 37 80 63 117 N SD: 0.2589 c. M:-0.5823 c. 638: 64 79 106 68 40 86 68 127 N SD: 0.3268 c. M:-0.4924 c. 658: 66 81 110 70 41 89 70 131 N SD: 0.3232 c. M:-0.6085 c. 710: 71 88 118 76 44 96 76 141 N SD: 0.2651 c. M: 0.4788 c. 751: 75 93 125 80 47 102 80 149 N SD: 0.2394 c. M:-0.4658 c. 769: 77 95 128 82 48 104 82 153 N SD: 0.1838 c. M: 0.4283 c. 839: 84 104 139 90 52 114 89 167 N SD: 0.2749 c. M:-0.4184 c. 849: 85 105 141 91 53 115 90 169 N SD: 0.2056 c. M: 0.3209 c. 930: 93 115 155 99 58 126 99 185 N SD: 0.1560 c. M:-0.3026 c. 1041: 104 129 173 111 65 141 111 207 N SD: 0.1804 c. M: 0.2888 c. 1051: 105 130 175 112 66 142 112 209 N SD: 0.1615 c. M: 0.2263 c. 1087: 109 134 181 116 68 147 116 216 N SD: 0.1510 c. M:-0.2570 c. 1228: 123 152 204 131 77 166 131 244 N SD: 0.1467 c. M:-0.2565 c. 1248: 125 154 208 133 78 169 133 248 N SD: 0.1141 c. M: 0.2039 c. 1359: 136 168 226 145 85 184 145 270 N SD: 0.1070 c. M: 0.1780 c. 1520: 152 188 253 162 95 206 162 302 N SD: 0.0878 c. M: 0.1518 c. 1890: 189 234 314 202 118 256 201 376 N SD: 0.0972 c. M: 0.1818 c. 2051: 205 254 341 219 128 278 218 408 N SD: 0.0826 c. M: 0.1644 c. 2087: 209 258 347 223 130 283 222 415 N SD: 0.0699 c. M: 0.1289 c. 2097: 210 259 349 224 131 284 223 417 N SD: 0.0729 c. M:-0.1047 c. 2208: 221 273 367 236 138 299 235 439 N SD: 0.0600 c. M: 0.1497 c. 2369: 237 293 394 253 148 321 252 471 N SD: 0.0289 c. M:-0.0513 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 15.4075 cents 3 x x 4 x x 5 x 6 S SD: 19.6132 cents 4 x x 5 x 6 x 7:8 S SD: 21.9237 cents 5 x 6 x 7 x 8:9:10 S SD: 15.4477 cents 6 x 7:8 x 9:10 x 12 S SD: 13.2879 cents 7 x 8:9:10 x 11:12:14 S SD: 13.2911 cents 8 x 9:10:11:12:13:14:16 S SD: 16.8547 cents 9:10:11:12 x 13:15:16:18 SD: 18.0529 cents 10:11:12:13:14:15:16:17:20 SD: 11.0446 cents 11:12:13:14 x 16:18:19:22 SD: 10.1171 cents 12:13:14:16:17:18:19:21:24 SD: 7.6534 cents 13:14:15:17:18:19:21:23:26 SD: 6.2399 cents 17:18:20:22:24:25:28:30:34 SD: 6.2295 cents 19:20:22:25:27:28:31:33:38 SD: 5.0205 cents 23:25:27:30:32:34:37:40:46 SD: 4.8299 cents 24:26:28:31:34:35:39:42:48 SD: 4.7422 cents 25:27:29:33:35:37:40:44:50 SD: 4.6891 cents 26:28:30:34:37:38:42:45:52 SD: 4.0982 cents 29:31:34:38:41:43:47:51:58 SD: 2.6621 cents 42:45:49:55:59:62:68:73:84 SD: 1.2196 cents 71:76:83:93:100:105:115:124:142 SD: 1.0870 cents 97:104:113:127:137:143:157:169:194 SD: 0.6009 cents 139:149:162:182:196:205:225:242:278 SD: 0.5579 cents 155:166:181:203:219:228:251:270:310 SD: 0.5286 cents 167:179:195:219:236:246:270:291:334 SD: 0.4351 cents 197:211:230:258:278:290:319:343:394 SD: 0.3593 cents 209:224:244:274:295:308:338:364:418 SD: 0.2510 cents 338:362:395:443:477:498:547:589:676 SD: 0.2402 cents 377:404:440:494:532:556:610:657:754 SD: 0.2384 cents 380:407:444:498:536:560:615:662:760 SD: 0.2287 cents 389:417:454:510:549:573:630:678:778 SD: 0.2222 cents 393:421:459:515:555:579:636:685:786 SD: 0.2213 cents 399:428:466:523:563:588:646:695:798 SD: 0.2138 cents 406:435:474:532:573:598:657:707:812 SD: 0.2071 cents 416:446:486:545:587:613:673:725:832 SD: 0.1726 cents 435:466:508:570:614:641:704:758:870 SD: 0.1319 cents