Scala analysis: CD15_08_Algeria
Tu m'as meurtri sans raison - L'ensemble d'Al-'Arabî Ben Sârî (raml al-maya, Algeria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 99.211 cents 99.211137 2: 305.002 cents 305.001983 3: 503.147 cents 503.146945 4: 592.793 cents 592.793402 5: 712.709 cents 712.709032 6: 798.209 cents 798.208859 7: 1000.228 cents 1000.228346 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 199.7717 cents 199.7717 1: 99.2111 cents 99.2111 2: 205.7908 cents 205.7908 3: 198.1450 cents 198.1450 4: 89.6465 cents 89.6465 5: 119.9156 cents 119.9156 6: 85.4998 cents 85.4998 7: 202.0195 cents 202.0195 8: 199.7717 cents 199.7717
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 85.49983 cents 1: 1 89.64646 cents 1: 1 99.21114 cents 1: 1 119.91563 cents 1: 1 198.14496 cents 1: 1 199.77165 cents 1: 1 202.01949 cents 1: 1 205.79085 cents 2: 1 205.41546 cents 2: 1 209.56209 cents 2: 1 287.51931 cents 2: 1 287.79142 cents 2: 1 298.98279 cents 2: 1 305.00198 cents 2: 1 401.79114 cents 2: 1 403.93581 cents 3: 1 295.06191 cents 3: 1 407.43494 cents 3: 1 407.70705 cents 3: 1 487.29097 cents 3: 1 493.58226 cents 3: 1 501.00228 cents 3: 1 503.14694 cents 3: 1 504.77364 cents 4: 1 493.20688 cents 4: 1 497.08140 cents 4: 1 586.50210 cents 4: 1 592.79340 cents 4: 1 607.20660 cents 4: 1 613.49790 cents 4: 1 702.91860 cents 4: 1 706.79312 cents 5: 1 695.22636 cents 5: 1 696.85306 cents 5: 1 698.99772 cents 5: 1 706.41773 cents 5: 1 712.70903 cents 5: 1 792.29295 cents 5: 1 792.56506 cents 5: 1 904.93809 cents 6: 1 796.06419 cents 6: 1 798.20886 cents 6: 1 894.99802 cents 6: 1 901.01721 cents 6: 1 912.20858 cents 6: 1 912.48069 cents 6: 1 990.43791 cents 6: 1 994.58454 cents 7: 1 994.20915 cents 7: 1 997.98051 cents 7: 1 1000.22835 cents 7: 1 1001.85504 cents 7: 1 1080.08437 cents 7: 1 1100.78886 cents 7: 1 1110.35354 cents 7: 1 1114.50017 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 : 99.2 305.0 503.1 592.8 712.7 798.2 1000.2 1200.0 99.2 : 205.8 403.9 493.6 613.5 699.0 901.0 1100.8 1200.0 305.0 : 198.1 287.8 407.7 493.2 695.2 895.0 994.2 1200.0 503.1 : 89.6 209.6 295.1 497.1 696.9 796.1 1001.9 1200.0 592.8 : 119.9 205.4 407.4 607.2 706.4 912.2 1110.4 1200.0 712.7 : 85.5 287.5 487.3 586.5 792.3 990.4 1080.1 1200.0 798.2 : 202.0 401.8 501.0 706.8 904.9 994.6 1114.5 1200.0 1000.2: 199.8 299.0 504.8 702.9 792.6 912.5 998.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 85.4998 .. 205.7908 cents 120.29102 cents 85.49983 cents 2: 205.4155 .. 403.9358 cents 198.52035 cents -0.37539 cents 3: 295.0619 .. 504.7736 cents 209.71172 cents -108.87389 cents 4: 493.2069 .. 706.7931 cents 213.58625 cents -11.56676 cents 5: 695.2264 .. 904.9381 cents 209.71172 cents -11.56676 cents 6: 796.0642 .. 994.5845 cents 198.52035 cents -108.87389 cents 7: 994.2092 .. 1114.5002 cents 120.29102 cents -0.37539 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 85.49983 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 205.79085 cents Average / Smallest step : 1.754390 Largest / Average step : 1.371939 Largest / Smallest step : 2.406915 Median interval of one step : 159.03030 cents, amount: 0 Least squares average step : 144.82464 cents, oct.: 1158.59711 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : CHEBDAGF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.37539 cents Scale diversity : 1.357500 Lumma stability : 0.142500 Lumma impropriety factor : 0.201360 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 : 0.27210 cents Number of recognisable fifths : 7, average 702.8451 cents Formal octave complements present : 1 = 12.5000% Limited inverse transpositions with margin 208.0850 cents: 1 -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 0 2 1 N T3 SD: 38.1985 c. M: 53.1469 c. 9: 1 1 2 0 1 1 1 2 N SD: 41.3502 c. M: 66.8950 c. 10: 1 2 1 1 1 1 1 2 N D3 SD: 30.5423 c. M:-54.9980 c. 12: 1 2 2 1 1 1 2 2 N D3 SD: 5.6154 c. M: 12.7090 c. Phrygian/Locrian mixed 35: 3 6 6 2 4 2 6 6 N SD: 7.3330 c. M:-11.1388 c. 41: 3 7 7 3 4 3 7 7 N G SD: 8.3906 c. M: 12.3191 c. 42: 4 7 7 3 4 3 7 7 N SD: 7.8675 c. M:-15.0746 c. 47: 4 8 8 3 5 3 8 8 N SD: 4.5753 c. M:-7.4914 c. 59: 5 10 10 4 6 4 10 10 N SD: 3.2021 c. M:-5.3276 c. 71: 6 12 12 5 7 5 12 12 N SD: 2.6056 c. M:-3.8953 c. 83: 7 14 14 6 8 6 14 14 N SD: 2.4644 c. M: 4.2753 c. 107: 9 18 18 8 11 7 18 18 N SD: 2.4073 c. M:-5.0480 c. 109: 9 19 18 8 11 8 18 18 N SD: 2.8498 c. M:-5.4609 c. 110: 9 19 18 8 11 8 19 18 N SD: 2.3677 c. M: 3.7025 c. 119: 10 20 20 9 12 8 20 20 N SD: 1.9789 c. M:-3.2574 c. 126: 10 22 21 9 13 9 21 21 N SD: 1.9225 c. M: 3.9730 c. 131: 11 22 22 10 13 9 22 22 N SD: 1.7680 c. M: 2.7119 c. 138: 11 24 23 10 14 10 23 23 N SD: 1.5861 c. M: 3.5590 c. 146: 12 25 24 11 15 10 25 24 N SD: 1.5038 c. M:-2.5114 c. 150: 12 26 25 11 15 11 25 25 N SD: 1.4333 c. M: 3.2111 c. 158: 13 27 26 12 16 11 27 26 N SD: 1.2598 c. M:-2.3033 c. 170: 14 29 28 13 17 12 29 28 N SD: 1.1783 c. M:-2.1246 c. 182: 15 31 30 14 18 13 31 30 N SD: 1.2250 c. M: 2.0480 c. 200: 17 34 33 15 20 14 34 33 N SD: 1.4056 c. M:-2.7889 c. 204: 17 35 34 15 20 15 34 34 N SD: 1.3595 c. M:-2.7354 c. 205: 17 35 34 15 21 14 35 34 N SD: 1.1234 c. M: 2.1113 c. 212: 18 36 35 16 21 15 36 35 N SD: 1.2935 c. M:-2.6757 c. 215: 18 37 35 16 22 15 36 36 N SD: 1.2132 c. M:-1.9748 c. 217: 18 37 36 16 22 15 37 36 N SD: 0.9035 c. M: 1.8955 c. 221: 18 38 37 16 22 16 37 37 N SD: 1.1458 c. M:-1.8304 c. 227: 19 39 37 17 23 16 38 38 N SD: 0.9768 c. M:-1.6059 c. 229: 19 39 38 17 23 16 39 38 N SD: 0.7925 c. M: 1.7023 c. 239: 20 41 39 18 24 17 40 40 N SD: 0.8304 c. M:-1.2742 c. 241: 20 41 40 18 24 17 41 40 N SD: 0.7928 c. M: 1.5284 c. 251: 21 43 41 19 25 18 42 42 N SD: 0.7836 c. M:-1.1873 c. 326: 27 56 54 24 33 23 55 54 N SD: 0.7843 c. M:-1.4014 c. 338: 28 58 56 25 34 24 57 56 N SD: 0.6361 c. M:-0.9951 c. 350: 29 60 58 26 35 25 59 58 N SD: 0.5433 c. M:-0.9145 c. 362: 30 62 60 27 36 26 61 60 N SD: 0.5181 c. M:-0.8766 c. 374: 31 64 62 28 37 27 63 62 N SD: 0.5563 c. M:-0.8412 c. 377: 31 65 62 28 38 27 63 63 N SD: 0.5500 c. M: 0.7588 c. 389: 32 67 64 29 39 28 65 65 N SD: 0.4882 c. M:-0.7629 c. 401: 33 69 66 30 40 29 67 67 N SD: 0.4876 c. M:-0.7936 c. 463: 38 80 76 35 46 33 78 77 N SD: 0.4875 c. M:-0.8296 c. 468: 39 80 77 35 47 33 79 78 N SD: 0.4842 c. M:-0.7889 c. 480: 40 82 79 36 48 34 81 80 N SD: 0.4644 c. M:-0.7889 c. 508: 42 87 84 38 51 36 85 85 N SD: 0.4511 c. M: 1.0157 c. 510: 42 88 84 38 51 36 86 85 N SD: 0.4352 c. M:-0.8804 c. 520: 43 89 86 39 52 37 87 87 N SD: 0.4227 c. M: 0.9976 c. 522: 43 90 86 39 52 37 88 87 N SD: 0.3851 c. M:-0.7451 c. 534: 44 92 88 40 53 38 90 89 N SD: 0.3775 c. M:-0.6160 c. 577: 48 99 95 43 58 41 97 96 N SD: 0.4333 c. M:-0.7173 c. 579: 48 99 96 43 58 41 98 96 N SD: 0.3893 c. M:-0.8079 c. 589: 49 101 97 44 59 42 99 98 N SD: 0.3688 c. M:-0.6191 c. 601: 50 103 99 45 60 43 101 100 N SD: 0.3368 c. M:-0.6225 c. 606: 50 104 100 45 61 43 102 101 N SD: 0.2955 c. M: 0.7142 c. 618: 51 106 102 46 62 44 104 103 N SD: 0.2516 c. M: 0.5604 c. 630: 52 108 104 47 63 45 106 105 N SD: 0.2528 c. M: 0.4124 c. 818: 68 140 135 61 82 58 138 136 N SD: 0.2472 c. M:-0.5444 c. 830: 69 142 137 62 83 59 140 138 N SD: 0.2211 c. M:-0.5479 c. 870: 72 149 144 65 87 62 146 145 N SD: 0.2749 c. M:-0.4118 c. 882: 73 151 146 66 88 63 148 147 N SD: 0.2696 c. M:-0.4306 c. 909: 75 156 150 68 91 65 153 151 N SD: 0.2529 c. M:-0.4710 c. 944: 78 162 156 70 95 67 159 157 N SD: 0.2438 c. M:-0.4266 c. 956: 79 164 158 71 96 68 161 159 N SD: 0.1826 c. M: 0.3248 c. 968: 80 166 160 72 97 69 163 161 N SD: 0.1349 c. M: 0.2314 c. 980: 81 168 162 73 98 70 165 163 N SD: 0.1150 c. M:-0.1798 c. 1502: 124 258 248 112 150 107 253 250 N SD: 0.1122 c. M:-0.1911 c. 1514: 125 260 250 113 151 108 255 252 N SD: 0.1121 c. M: 0.1595 c. 1610: 133 276 266 120 161 115 271 268 N SD: 0.1242 c. M: 0.2468 c. 1660: 137 285 274 124 166 118 280 276 N SD: 0.1233 c. M:-0.2536 c. 1672: 138 287 276 125 167 119 282 278 N SD: 0.1170 c. M:-0.2501 c. 1899: 157 326 313 142 190 135 320 316 N SD: 0.1093 c. M:-0.2113 c. 1911: 158 328 315 143 191 136 322 318 N SD: 0.0969 c. M:-0.1786 c. 1923: 159 330 317 144 192 137 324 320 N SD: 0.0966 c. M: 0.1828 c. 2120: 175 364 350 158 212 151 357 353 N SD: 0.0965 c. M: 0.1545 c. 2132: 176 366 352 159 213 152 359 355 N SD: 0.0925 c. M: 0.1492 c. 2168: 179 372 358 162 217 154 365 361 N SD: 0.0907 c. M:-0.2061 c. 2180: 180 374 360 163 218 155 367 363 N SD: 0.0744 c. M:-0.1350 c. 2192: 181 376 362 164 219 156 369 365 N SD: 0.0693 c. M: 0.1235 c. 2344: 194 402 387 175 234 167 395 390 N SD: 0.0884 c. M:-0.1175 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: 5.3770 cents 3 x x 4 x x 5 x 6 S SD: 28.7669 cents 4 x 5 x x 6 x 7:8 S SD: 21.9564 cents 5 x 6 x 7 x 8:9:10 S SD: 5.5140 cents 6 x 7:8 x 9:10:11:12 S SD: 17.8198 cents 7 x 8:9:10 x 11:12:14 S SD: 20.7111 cents 8 x 10 x 11:12:13:14:16 S SD: 17.6576 cents 9:10:11:12:13 x 14:16:18 S SD: 15.5126 cents 10:11:12:13:14:15:16:18:20 S SD: 10.8965 cents 11:12:13:15 x 17 x 20:22 SD: 13.8651 cents 12:13:14:16:17:18:19:21:24 SD: 8.1416 cents 14:15:17:19:20:21:22:25:28 SD: 6.8645 cents 15:16:18:20:21:23:24:27:30 SD: 5.1356 cents 20:21:24:27:28:30:32:36:40 S SD: 4.6135 cents 27:29:32:36:38:41:43:48:54 SD: 3.8085 cents 31:33:37:41:44:47:49:55:62 SD: 3.4922 cents 32:34:38:43:45:48:51:57:64 SD: 2.3641 cents 36:38:43:48:51:54:57:64:72 SD: 2.1947 cents 47:50:56:63:66:71:75:84:94 SD: 1.9885 cents 51:54:61:68:72:77:81:91:102 SD: 1.1249 cents 68:72:81:91:96:103:108:121:136 SD: 1.0849 cents 83:88:99:111:117:125:132:148:166 SD: 0.8633 cents 104:110:124:139:146:157:165:185:208 SD: 0.8532 cents 118:125:141:158:166:178:187:210:236 SD: 0.6527 cents 151:160:180:202:213:228:239:269:302 SD: 0.5757 cents 155:164:185:207:218:234:246:276:310 SD: 0.5416 cents 157:166:187:210:221:237:249:280:314 SD: 0.4903 cents 171:181:204:229:241:258:271:305:342 SD: 0.4425 cents 198:210:236:265:279:299:314:353:396 SD: 0.4414 cents 208:220:248:278:293:314:330:371:416 SD: 0.3755 cents 234:248:279:313:330:353:371:417:468 SD: 0.3719 cents 255:270:304:341:359:385:404:454:510 SD: 0.3127 cents 275:291:328:368:387:415:436:490:550 SD: 0.2816 cents 285:302:340:381:401:430:452:508:570 SD: 0.2803 cents 302:320:360:404:425:456:479:538:604 SD: 0.2723 cents 306:324:365:409:431:462:485:545:612 SD: 0.2110 cents 326:345:389:436:459:492:517:581:652 SD: 0.1931 cents 338:358:403:452:476:510:536:602:676 SD: 0.1543 cents 389:412:464:520:548:587:617:693:778 SD: 0.1464 cents 509:539:607:681:717:768:807:907:1018 SD: 0.1443 cents 524:555:625:701:738:791:831:934:1048 SD: 0.1109 cents