Scala analysis: CD02_08_Egypt
Suite - Darwîsh Muhammad al-Harîrî (sikah arabi, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 90.083 cents 90.083403 2: 318.343 cents 318.343352 3: 454.764 cents 454.763926 4: 606.003 cents 606.002529 5: 811.474 cents 811.474493 6: 1010.338 cents 1010.337931 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 189.6621 cents 189.6621 1: 90.0834 cents 90.0834 2: 228.2599 cents 228.2599 3: 136.4206 cents 136.4206 4: 151.2386 cents 151.2386 5: 205.4720 cents 205.4720 6: 198.8634 cents 198.8634 7: 189.6621 cents 189.6621
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 90.08340 cents 1: 1 136.42057 cents 1: 1 151.23860 cents 1: 1 189.66207 cents 1: 1 198.86344 cents 1: 1 205.47196 cents 1: 1 228.25995 cents 2: 1 279.74547 cents 2: 1 287.65918 cents 2: 1 318.34335 cents 2: 1 356.71057 cents 2: 1 364.68052 cents 2: 1 388.52551 cents 2: 1 404.33540 cents 3: 1 454.76393 cents 3: 1 478.60891 cents 3: 1 493.13114 cents 3: 1 508.00542 cents 3: 1 515.91913 cents 3: 1 555.57401 cents 3: 1 593.99747 cents 4: 1 606.00253 cents 4: 1 644.42599 cents 4: 1 684.08087 cents 4: 1 691.99458 cents 4: 1 706.86886 cents 4: 1 721.39109 cents 4: 1 745.23607 cents 5: 1 795.66460 cents 5: 1 811.47449 cents 5: 1 835.31948 cents 5: 1 843.28943 cents 5: 1 881.65665 cents 5: 1 912.34082 cents 5: 1 920.25453 cents 6: 1 971.74005 cents 6: 1 994.52804 cents 6: 1 1001.13656 cents 6: 1 1010.33793 cents 6: 1 1048.76140 cents 6: 1 1063.57943 cents 6: 1 1109.91660 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 : 90.1 318.3 454.8 606.0 811.5 1010.3 1200.0 90.1 : 228.3 364.7 515.9 721.4 920.3 1109.9 1200.0 318.3 : 136.4 287.7 493.1 692.0 881.7 971.7 1200.0 454.8 : 151.2 356.7 555.6 745.2 835.3 1063.6 1200.0 606.0 : 205.5 404.3 594.0 684.1 912.3 1048.8 1200.0 811.5 : 198.9 388.5 478.6 706.9 843.3 994.5 1200.0 1010.3: 189.7 279.7 508.0 644.4 795.7 1001.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 90.0834 .. 228.2599 cents 138.17655 cents 90.08340 cents 2: 279.7455 .. 404.3354 cents 124.58993 cents 51.48552 cents 3: 454.7639 .. 593.9975 cents 139.23355 cents 50.42852 cents 4: 606.0025 .. 745.2361 cents 139.23355 cents 12.00506 cents 5: 795.6646 .. 920.2545 cents 124.58993 cents 50.42852 cents 6: 971.7401 .. 1109.9166 cents 138.17655 cents 51.48552 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 90.08340 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 228.25995 cents Average / Smallest step : 1.902998 Largest / Average step : 1.331516 Largest / Smallest step : 2.533874 Median interval of one step : 189.66207 cents, amount: 1 Least squares average step : 164.53194 cents, oct.: 1151.72360 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : AGBCFED Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 12.00506 cents Scale diversity : 1.719908 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.330000 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 : 6.60853 cents Number of recognisable fifths : 2, average 699.4317 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 113.3379 c. M: 153.1951 c. 8: 1 1 1 1 1 2 1 P M ME S SD: 36.5228 c. M: 61.4745 c. 10: 1 2 1 1 2 2 1 P D3 S SD: 35.7964 c. M:-69.6621 c. 11: 1 2 1 1 2 2 2 N D3 SD: 32.8362 c. M: 60.5480 c. 12: 1 2 2 1 2 2 2 P M ME S SD: 19.8411 c. M:-45.2361 c. G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish 13: 1 2 2 2 2 2 2 SP M ME S SD: 23.2267 c. M: 41.4203 c. Zo-Kalarian 14: 1 3 1 2 2 3 2 P T3 SD: 21.6407 c. M: 40.0459 c. 15: 1 3 2 2 2 3 2 P D3 SD: 20.3842 c. M:-33.9975 c. 16: 1 3 2 2 3 2 3 P D3 SD: 17.1315 c. M: 35.3379 c. 18: 1 4 2 2 3 3 3 P SD: 13.0345 c. M: 23.4167 c. 24: 2 4 3 3 4 4 4 P SD: 10.2266 c. M: 18.3434 c. 26: 2 5 3 3 5 4 4 P SD: 8.5108 c. M:-19.2947 c. 27: 2 5 3 4 4 5 4 SP SD: 9.9728 c. M:-16.2197 c. 30: 2 6 3 4 5 5 5 P SD: 9.2347 c. M: 14.7639 c. 31: 2 6 4 4 5 5 5 SP SD: 8.6686 c. M:-13.3523 c. 34: 3 6 4 4 6 6 5 P SD: 8.2523 c. M:-15.7989 c. 37: 3 7 4 5 6 6 6 SP SD: 5.5730 c. M:-10.2137 c. 44: 3 9 5 5 8 7 7 P SD: 6.6477 c. M:-8.9294 c. 45: 3 9 5 6 7 8 7 SP SD: 6.5557 c. M: 11.4745 c. 49: 4 9 6 6 8 8 8 SP SD: 6.1207 c. M:-10.5422 c. 50: 4 9 6 6 9 8 8 P SD: 4.4521 c. M: 6.3434 c. 53: 4 10 6 7 9 9 8 SP SD: 4.1400 c. M:-8.5300 c. 56: 4 11 6 7 10 9 9 P SD: 3.8812 c. M: 6.0025 c. 63: 5 12 7 8 11 10 10 SP SD: 4.3511 c. M:-7.5731 c. 64: 5 12 7 8 11 11 10 P SD: 3.8601 c. M: 6.0025 c. 68: 5 13 8 8 12 11 11 P SD: 3.3025 c. M: 6.0025 c. 69: 5 13 8 9 12 11 11 SP SD: 3.5764 c. M:-5.9168 c. 71: 5 14 8 9 12 12 11 SP SD: 2.9615 c. M: 5.5764 c. 87: 7 16 10 11 15 14 14 SP SD: 2.9578 c. M:-6.4683 c. 89: 7 17 10 11 15 15 14 SP SD: 3.0941 c. M:-5.2522 c. 90: 7 17 10 11 16 15 14 P SD: 3.0193 c. M: 6.0025 c. 93: 7 18 10 12 16 15 15 SP SD: 2.5435 c. M:-4.2373 c. 95: 7 18 11 12 16 16 15 SP SD: 1.6364 c. M: 3.0534 c. 121: 9 23 14 15 21 20 19 SP SD: 1.1578 c. M:-1.7486 c. 158: 12 30 18 20 27 26 25 SP SD: 0.9547 c. M:-1.5924 c. 214: 16 41 24 27 37 35 34 SP SD: 0.9119 c. M:-1.6096 c. 216: 16 41 25 27 37 36 34 SP SD: 0.9098 c. M: 1.6767 c. 222: 17 42 25 28 38 37 35 SP SD: 0.8558 c. M:-1.8085 c. 253: 19 48 29 32 43 42 40 SP SD: 0.5405 c. M:-1.1121 c. 309: 23 59 35 39 53 51 49 SP SD: 0.4153 c. M: 0.7630 c. 362: 27 69 41 46 62 60 57 SP SD: 0.5473 c. M:-0.7118 c. 374: 28 71 43 47 64 62 59 SP SD: 0.4858 c. M:-0.8510 c. 404: 30 77 46 51 69 67 64 SP SD: 0.5144 c. M: 0.9745 c. 430: 32 82 49 54 74 71 68 SP SD: 0.4204 c. M: 0.7811 c. 438: 33 83 50 55 75 73 69 SP SD: 0.4342 c. M:-0.6210 c. 467: 35 89 53 59 80 77 74 SP SD: 0.3358 c. M:-0.5169 c. 531: 40 101 60 67 91 88 84 SP SD: 0.3044 c. M: 0.5266 c. 562: 42 107 64 71 96 93 89 SP SD: 0.2704 c. M: 0.4037 c. 596: 45 113 68 75 102 99 94 SP SD: 0.2826 c. M:-0.5206 c. 626: 47 119 71 79 107 104 99 SP SD: 0.3098 c. M: 0.6119 c. 652: 49 124 74 82 112 108 103 SP SD: 0.2116 c. M: 0.4811 c. 747: 56 142 85 94 128 124 118 SP SD: 0.2131 c. M: 0.3800 c. 784: 59 149 89 99 134 130 124 SP SD: 0.1579 c. M: 0.2500 c. 905: 68 172 103 114 155 150 143 SP SD: 0.0597 c. M: 0.1113 c. 1998: 150 380 227 252 342 331 316 SP SD: 0.0686 c. M: 0.1277 c. 2119: 159 403 241 267 363 351 335 SP SD: 0.0476 c. M: 0.0800 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: 47.9762 cents 3 x x 4 x 5 x 6 S SD: 28.2555 cents 4 x 5 x 6 x 7:8 S SD: 31.1750 cents 5 x 6 x 7:8:9:10 S SD: 4.9666 cents 6 x 7:8:9:10:11:12 S SD: 23.9006 cents 7 x 8:9:10:11:13:14 SD: 18.7995 cents 8:9:10 x 11:13:14:16 SD: 25.3499 cents 9:10:11:12:13:14:16:18 S SD: 17.2313 cents 10:11:12:13:14:16:18:20 S SD: 11.2759 cents 13:14:16:17:18:21:23:26 SD: 10.9961 cents 14:15:17:18:20:22:25:28 SD: 7.2566 cents 17:18:20:22:24:27:30:34 SD: 7.0569 cents 19:20:23:25:27:30:34:38 SD: 4.5472 cents 20:21:24:26:28:32:36:40 S SD: 3.6380 cents 33:35:40:43:47:53:59:66 SD: 3.2014 cents 34:36:41:44:48:54:61:68 SD: 2.7764 cents 39:41:47:51:55:62:70:78 SD: 2.5965 cents 40:42:48:52:57:64:72:80 SD: 1.7372 cents 59:62:71:77:84:94:106:118 SD: 1.6593 cents 60:63:72:78:85:96:108:120 SD: 1.4690 cents 74:78:89:96:105:118:133:148 SD: 1.0579 cents 90:95:108:117:128:144:161:180 SD: 1.0213 cents 93:98:112:121:132:149:167:186 SD: 0.9442 cents 110:116:132:143:156:176:197:220 SD: 0.6318 cents 129:136:155:168:183:206:231:258 SD: 0.5209 cents 169:178:203:220:240:270:303:338 SD: 0.3530 cents 227:239:273:295:322:363:407:454 SD: 0.3413 cents 243:256:292:316:345:388:436:486 SD: 0.3340 cents 263:277:316:342:373:420:471:526 SD: 0.3205 cents 279:294:335:363:396:446:500:558 SD: 0.3039 cents 303:319:364:394:430:484:543:606 SD: 0.2122 cents 336:354:404:437:477:537:602:672 SD: 0.1883 cents 356:375:428:463:505:569:638:712 SD: 0.1497 cents 396:417:476:515:562:633:710:792 SD: 0.1416 cents 520:548:625:676:738:831:932:1040 SD: 0.1336 cents 525:553:631:683:745:839:941:1050 SD: 0.1081 cents 599:631:720:779:850:957:1074:1198 SD: 0.0920 cents