Scala analysis: CD01_06_Egypt
Il m'a quitté : laisse moi donc / Ô Gazelle se pavanant - Darwîsh Muhammad al-Harîrî (hijaz, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 147.553 cents 147.553304 2: 346.190 cents 346.190480 3: 455.273 cents 455.273230 4: 526.692 cents 526.692135 5: 625.640 cents 625.639896 6: 738.060 cents 738.060142 7: 847.748 cents 847.748392 8: 1069.167 cents 1069.166794 9: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 130.8332 cents 130.8332 1: 147.5533 cents 147.5533 2: 198.6372 cents 198.6372 3: 109.0827 cents 109.0827 4: 71.4189 cents 71.4189 5: 98.9478 cents 98.9478 6: 112.4202 cents 112.4202 7: 109.6883 cents 109.6883 8: 221.4184 cents 221.4184 9: 130.8332 cents 130.8332
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 71.41891 cents 1: 1 98.94776 cents 1: 1 109.08275 cents 1: 1 109.68825 cents 1: 1 112.42025 cents 1: 1 130.83321 cents 1: 1 147.55330 cents 1: 1 198.63718 cents 1: 1 221.41840 cents 2: 1 170.36667 cents 2: 1 180.50165 cents 2: 1 211.36801 cents 2: 1 222.10850 cents 2: 1 278.38651 cents 2: 1 307.71993 cents 2: 1 331.10665 cents 2: 1 346.19048 cents 2: 1 352.25161 cents 3: 1 279.44942 cents 3: 1 282.78691 cents 3: 1 321.05626 cents 3: 1 379.13883 cents 3: 1 443.52690 cents 3: 1 455.27323 cents 3: 1 461.93986 cents 3: 1 477.02369 cents 3: 1 499.80491 cents 4: 1 391.86966 cents 4: 1 392.47516 cents 4: 1 478.08659 cents 4: 1 526.69213 cents 4: 1 542.47466 cents 4: 1 574.36010 cents 4: 1 586.10644 cents 4: 1 609.49316 cents 4: 1 698.44209 cents 5: 1 501.55791 cents 5: 1 590.50684 cents 5: 1 613.89356 cents 5: 1 625.63990 cents 5: 1 657.52534 cents 5: 1 673.30786 cents 5: 1 721.91341 cents 5: 1 807.52484 cents 5: 1 808.13034 cents 6: 1 700.19509 cents 6: 1 722.97631 cents 6: 1 738.06014 cents 6: 1 744.72677 cents 6: 1 756.47310 cents 6: 1 820.86117 cents 6: 1 878.94374 cents 6: 1 917.21309 cents 6: 1 920.55058 cents 7: 1 847.74839 cents 7: 1 853.80952 cents 7: 1 868.89335 cents 7: 1 892.28007 cents 7: 1 921.61349 cents 7: 1 977.89150 cents 7: 1 988.63199 cents 7: 1 1019.49835 cents 7: 1 1029.63333 cents 8: 1 978.58160 cents 8: 1 1001.36282 cents 8: 1 1052.44670 cents 8: 1 1069.16679 cents 8: 1 1087.57975 cents 8: 1 1090.31175 cents 8: 1 1090.91725 cents 8: 1 1101.05224 cents 8: 1 1128.58110 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 9.00000 = 9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 147.6 346.2 455.3 526.7 625.6 738.1 847.7 1069.2 1200.0 147.6 : 198.6 307.7 379.1 478.1 590.5 700.2 921.6 1052.4 1200.0 346.2 : 109.1 180.5 279.4 391.9 501.6 723.0 853.8 1001.4 1200.0 455.3 : 71.4 170.4 282.8 392.5 613.9 744.7 892.3 1090.9 1200.0 526.7 : 98.9 211.4 321.1 542.5 673.3 820.9 1019.5 1128.6 1200.0 625.6 : 112.4 222.1 443.5 574.4 721.9 920.6 1029.6 1101.1 1200.0 738.1 : 109.7 331.1 461.9 609.5 808.1 917.2 988.6 1087.6 1200.0 847.7 : 221.4 352.3 499.8 698.4 807.5 878.9 977.9 1090.3 1200.0 1069.2: 130.8 278.4 477.0 586.1 657.5 756.5 868.9 978.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.4189 .. 221.4184 cents 149.99950 cents 71.41891 cents 2: 170.3667 .. 352.2516 cents 181.88494 cents -51.05174 cents 3: 279.4494 .. 499.8049 cents 220.35550 cents -72.80219 cents 4: 391.8697 .. 698.4421 cents 306.57243 cents -107.93525 cents 5: 501.5579 .. 808.1303 cents 306.57243 cents -196.88418 cents 6: 700.1951 .. 920.5506 cents 220.35550 cents -107.93525 cents 7: 847.7484 .. 1029.6333 cents 181.88494 cents -72.80219 cents 8: 978.5816 .. 1128.5811 cents 149.99950 cents -51.05174 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 71.41891 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 221.41840 cents Average / Smallest step : 1.866919 Largest / Average step : 1.660638 Largest / Smallest step : 3.100277 Median interval of one step : 112.42025 cents, amount: 1 Least squares average step : 130.37423 cents, oct.: 1173.36808 cents Scale is not proper Step pattern alph. order: ABCDEFGHI Step pattern size order : GHCABEDIF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.69009 cents Scale diversity : 1.660058 Lumma stability : 0.119032 Lumma impropriety factor : 0.550385 Rothenberg efficiency : 0.222222 redundancy: 0.777778 Efficiency x scale size : 2.000000 Number of different interval sizes : 72 = 9.00000 / class Number of one step interval sizes : 9 Highest interval variety : 9 Mean interval variety : 9.00000 = 9 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 0.60550 cents Number of recognisable fifths : 2, average 699.3186 cents Formal octave complements present : 1 = 11.1111% -- Rational properties --
FIT/MODE
9: 1 2 0 1 1 1 0 2 1 N T3 I SD: 39.4445 c. M:-61.9399 c. 10: 1 2 1 0 1 1 1 2 1 N SD: 23.3391 c. M: 46.6921 c. 11: 1 2 1 1 1 1 1 2 1 N D3 I SD: 23.8821 c. M: 38.4624 c. 13: 2 2 1 1 1 1 1 3 1 N SD: 23.2726 c. M:-38.5255 c. 16: 2 3 1 1 1 2 1 3 2 N SD: 16.8373 c. M:-28.8095 c. 17: 2 3 1 1 2 1 2 3 2 N SD: 19.4110 c. M: 32.5745 c. 18: 2 3 2 1 1 2 2 3 2 N SD: 13.2721 c. M: 25.6399 c. 21: 3 3 2 1 2 2 2 4 2 N SD: 11.2162 c. M:-23.8753 c. 27: 3 5 2 2 2 3 2 5 3 N SD: 9.3465 c. M:-17.4954 c. 31: 4 5 3 2 2 3 3 6 3 N SD: 8.5178 c. M:-15.2433 c. 34: 4 6 3 2 3 3 3 6 4 N SD: 5.9312 c. M: 10.3433 c. 48: 6 8 4 3 4 5 4 9 5 N SD: 5.0907 c. M:-11.9399 c. 52: 6 9 5 3 4 5 5 9 6 N SD: 5.1709 c. M: 9.0918 c. 55: 7 9 5 3 5 5 5 10 6 N SD: 3.7613 c. M:-7.0874 c. 73: 9 12 7 4 6 7 7 13 8 N SD: 2.9891 c. M:-7.0461 c. 76: 9 13 7 4 7 7 7 14 8 N SD: 4.2899 c. M:-5.9391 c. 79: 10 13 7 5 6 8 7 14 9 N SD: 3.9954 c. M:-6.2437 c. 81: 10 13 8 5 6 8 7 15 9 N SD: 3.7428 c. M:-6.6412 c. 82: 10 14 7 5 7 7 8 15 9 N SD: 3.0685 c. M: 6.3528 c. 84: 10 14 8 5 7 8 7 16 9 N SD: 3.3473 c. M: 4.8912 c. 89: 11 15 8 5 7 9 8 16 10 N SD: 3.1774 c. M: 5.4152 c. 91: 11 15 8 6 7 9 8 17 10 N SD: 3.5873 c. M: 6.9216 c. 92: 11 16 8 5 8 9 8 17 10 N SD: 3.4676 c. M:-5.9834 c. 94: 12 15 9 5 8 9 8 18 10 N SD: 3.4326 c. M:-5.6382 c. 96: 12 16 8 6 8 9 9 18 10 N SD: 3.1796 c. M:-5.8332 c. 98: 12 16 9 6 8 9 9 18 11 N SD: 2.4058 c. M: 3.8607 c. 121: 15 20 11 7 10 11 11 23 13 N SD: 2.3305 c. M: 4.7732 c. 127: 16 21 11 8 10 12 12 23 14 N SD: 2.3109 c. M:-3.6278 c. 129: 16 21 12 8 10 12 12 24 14 N SD: 2.0044 c. M:-3.5404 c. 132: 16 22 12 8 11 12 12 25 14 N SD: 1.8042 c. M:-3.5605 c. 146: 18 24 13 9 12 14 13 27 16 N SD: 1.3942 c. M: 3.2184 c. 153: 19 25 14 9 13 14 14 28 17 N SD: 1.3157 c. M: 2.5001 c. 171: 21 28 16 10 14 16 16 31 19 N SD: 1.3803 c. M: 2.5001 c. 176: 22 29 16 10 15 16 16 33 19 N SD: 1.7017 c. M:-2.4467 c. 177: 22 29 16 11 14 17 16 33 19 N SD: 1.3736 c. M:-2.1214 c. 184: 23 30 17 11 15 17 17 34 20 N SD: 1.1488 c. M:-2.4467 c. 205: 25 34 19 12 17 19 19 38 22 N SD: 1.0493 c. M:-2.0527 c. 211: 26 35 19 13 17 20 19 39 23 N SD: 0.9065 c. M:-2.2178 c. 218: 27 36 20 13 18 20 20 40 24 N SD: 1.1795 c. M:-1.8830 c. 219: 27 36 20 13 18 21 20 40 24 N SD: 0.9686 c. M:-1.6659 c. 221: 27 37 20 13 18 21 20 41 24 N SD: 0.7955 c. M:-1.3208 c. 301: 37 50 27 18 25 28 28 55 33 N SD: 0.6785 c. M:-1.4210 c. 319: 39 53 29 19 26 30 29 59 35 N SD: 0.7630 c. M: 1.3534 c. 330: 41 54 30 20 27 31 30 61 36 N SD: 0.6711 c. M:-1.5376 c. 340: 42 56 31 20 28 32 31 63 37 N SD: 0.5573 c. M: 0.9340 c. 351: 43 58 32 21 29 33 32 65 38 N SD: 0.5245 c. M:-0.9187 c. 374: 46 62 34 22 31 35 34 69 41 N SD: 0.4039 c. M: 0.7176 c. 512: 63 85 46 31 42 48 47 94 56 N SD: 0.4672 c. M:-0.6891 c. 514: 63 85 47 31 42 48 47 95 56 N SD: 0.4380 c. M:-0.9343 c. 522: 64 87 47 31 43 49 48 96 57 N SD: 0.4208 c. M:-0.9360 c. 551: 68 91 50 33 45 52 50 102 60 N SD: 0.3625 c. M: 0.5945 c. 569: 70 94 52 34 47 53 52 105 62 N SD: 0.3358 c. M:-0.7221 c. 579: 71 96 53 34 48 54 53 107 63 N SD: 0.3184 c. M:-0.6853 c. 585: 72 97 53 35 48 55 53 108 64 N SD: 0.3624 c. M: 0.5689 c. 641: 79 106 58 38 53 60 59 118 70 N SD: 0.3588 c. M: 0.6391 c. 670: 82 111 61 40 55 63 61 124 73 N SD: 0.4176 c. M: 0.6876 c. 675: 83 112 61 40 56 63 62 124 74 N SD: 0.3587 c. M: 0.7223 c. 706: 87 117 64 42 58 66 65 130 77 N SD: 0.3086 c. M:-0.5517 c. 715: 88 118 65 43 59 67 65 132 78 N SD: 0.3098 c. M: 0.4562 c. 725: 89 120 66 43 60 68 66 134 79 N SD: 0.2040 c. M: 0.3473 c. 852: 105 141 77 51 70 80 78 157 93 N SD: 0.2221 c. M: 0.3437 c. 909: 112 150 83 54 75 85 83 168 99 N SD: 0.1866 c. M: 0.3159 c. 1057: 130 175 96 63 87 99 97 195 115 N SD: 0.1531 c. M:-0.3122 c. 1091: 134 181 99 65 90 102 100 201 119 N SD: 0.1721 c. M:-0.2809 c. 1130: 139 187 103 67 93 106 103 209 123 N SD: 0.1712 c. M: 0.3148 c. 1210: 149 200 110 72 100 113 111 223 132 N SD: 0.1365 c. M:-0.2153 c. 1421: 175 235 129 85 117 133 130 262 155 N SD: 0.1339 c. M:-0.2607 c. 1431: 176 237 130 85 118 134 131 264 156 N SD: 0.0752 c. M:-0.1408 c. 2000: 246 331 182 119 165 187 183 369 218 N SD: 0.0837 c. M:-0.1601 c. 2146: 264 355 195 128 177 201 196 396 234 N SD: 0.0604 c. M: 0.1008 c. 2156: 265 357 196 128 178 202 197 398 235 N SD: 0.0646 c. M: 0.1615 c. 2367: 291 392 215 141 195 222 216 437 258 N SD: 0.0554 c. M: 0.0931 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x 4 S SD: 18.0526 cents 3 x x x 4 x x 5 x 6 S SD: 15.4954 cents 4 x 5 x x x 6 x 7:8 S SD: 28.4844 cents 5 x 6 x x 7 x 8:9:10 S SD: 16.2641 cents 6 x 7 x 8 x 9:10:11:12 S SD: 16.7898 cents 7:8 x 9 x 10:11 x 13:14 SD: 16.1994 cents 8:9:10 x 11 x 12:13:15:16 SD: 12.0484 cents 9:10:11 x 12:13:14:15:17:18 SD: 9.0442 cents 10:11:12:13 x 14:15:16:19:20 SD: 10.7015 cents 11:12:13:14:15:16:17:18:20:22 S SD: 9.1304 cents 12:13:15 x 16:17:18:20:22:24 SD: 9.7306 cents 13:14:16:17:18:19:20:21:24:26 S SD: 6.4649 cents 14:15:17:18:19:20:21:23:26:28 SD: 5.8966 cents 15:16:18 x 20:22:23:24:28:30 S SD: 9.4624 cents 16:17:20:21:22:23:25:26:30:32 SD: 8.5275 cents 17:19:21:22:23:24:26:28:32:34 SD: 7.2502 cents 19:21:23:25:26:27:29:31:35:38 SD: 5.0030 cents 22:24:27:29:30:32:34:36:41:44 SD: 4.4216 cents 23:25:28:30:31:33:35:38:43:46 SD: 3.4223 cents 30:33:37:39:41:43:46:49:56:60 SD: 3.3912 cents 32:35:39:42:43:46:49:52:59:64 SD: 2.9422 cents 36:39:44:47:49:52:55:59:67:72 SD: 2.2400 cents 46:50:56:60:62:66:70:75:85:92 SD: 2.0149 cents 53:58:65:69:72:76:81:86:98:106 SD: 1.8466 cents 54:59:66:70:73:78:83:88:100:108 SD: 1.7997 cents 57:62:70:74:77:82:87:93:106:114 SD: 1.6365 cents 60:65:73:78:81:86:92:98:111:120 SD: 1.5968 cents 64:70:78:83:87:92:98:104:119:128 SD: 1.5814 cents 67:73:82:87:91:96:103:109:124:134 SD: 1.2357 cents 76:83:93:99:103:109:116:124:141:152 SD: 0.9946 cents 87:95:106:113:118:125:133:142:161:174 SD: 0.9604 cents 90:98:110:117:122:129:138:147:167:180 SD: 0.4431 cents 177:193:216:230:240:254:271:289:328:354 SD: 0.4130 cents 203:221:248:264:275:291:311:331:376:406 SD: 0.3997 cents 213:232:260:277:289:306:326:348:395:426 SD: 0.3903 cents 225:245:275:293:305:323:345:367:417:450 SD: 0.3606 cents 239:260:292:311:324:343:366:390:443:478 SD: 0.2365 cents 303:330:370:394:411:435:464:494:562:606 SD: 0.2331 cents 326:355:398:424:442:468:499:532:605:652 SD: 0.2115 cents 329:358:402:428:446:472:504:537:610:658 SD: 0.2029 cents 393:428:480:511:533:564:602:641:729:786 SD: 0.1658 cents 416:453:508:541:564:597:637:679:771:832 SD: 0.1465 cents 506:551:618:658:686:726:775:826:938:1012 SD: 0.1388 cents 515:561:629:670:698:739:789:840:955:1030 SD: 0.1352 cents 529:576:646:688:717:759:810:863:981:1058 SD: 0.1161 cents 551:600:673:717:747:791:844:899:1022:1102 SD: 0.0958 cents