Scala analysis: CD01_12_bayati_Egypt
Y-a-t-il une déchirure sur les voiles ? / Elle m'a quitté alors que je n'ai aucun tort - Darwîsh Muhammad al-Harîrî (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 168.173 cents 168.172840 2: 315.995 cents 315.994560 3: 501.296 cents 501.295776 4: 702.653 cents 702.652838 5: 987.940 cents 987.940336 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 212.0597 cents 212.0597 1: 168.1728 cents 168.1728 2: 147.8217 cents 147.8217 3: 185.3012 cents 185.3012 4: 201.3571 cents 201.3571 5: 285.2875 cents 285.2875 6: 212.0597 cents 212.0597
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 147.82172 cents 1: 1 168.17284 cents 1: 1 185.30122 cents 1: 1 201.35706 cents 1: 1 212.05966 cents 1: 1 285.28750 cents 2: 1 315.99456 cents 2: 1 333.12294 cents 2: 1 380.23250 cents 2: 1 386.65828 cents 2: 1 486.64456 cents 2: 1 497.34716 cents 3: 1 501.29578 cents 3: 1 528.05422 cents 3: 1 534.48000 cents 3: 1 665.52000 cents 3: 1 671.94578 cents 3: 1 698.70422 cents 4: 1 702.65284 cents 4: 1 713.35544 cents 4: 1 813.34172 cents 4: 1 819.76750 cents 4: 1 866.87706 cents 4: 1 884.00544 cents 5: 1 914.71250 cents 5: 1 987.94034 cents 5: 1 998.64294 cents 5: 1 1014.69878 cents 5: 1 1031.82716 cents 5: 1 1052.17828 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 : 168.2 316.0 501.3 702.7 987.9 1200.0 168.2 : 147.8 333.1 534.5 819.8 1031.8 1200.0 316.0 : 185.3 386.7 671.9 884.0 1052.2 1200.0 501.3 : 201.4 486.6 698.7 866.9 1014.7 1200.0 702.7 : 285.3 497.3 665.5 813.3 998.6 1200.0 987.9 : 212.1 380.2 528.1 713.4 914.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 147.8217 .. 285.2875 cents 137.46578 cents 147.82172 cents 2: 315.9946 .. 497.3472 cents 181.35260 cents 30.70706 cents 3: 501.2958 .. 698.7042 cents 197.40845 cents 3.94861 cents 4: 702.6528 .. 884.0054 cents 181.35260 cents 3.94861 cents 5: 914.7125 .. 1052.1783 cents 137.46578 cents 30.70706 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 147.82172 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 285.28750 cents Average / Smallest step : 1.352981 Largest / Average step : 1.426437 Largest / Smallest step : 1.929943 Median interval of one step : 193.32914 cents, amount: 0 Least squares average step : 189.60838 cents, oct.: 1137.65026 cents Scale is strictly proper Step pattern alph. order: ABCDEF Step pattern size order : BACDFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.94861 cents Scale diversity : 1.474709 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.304129 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 : 3.94861 cents Number of recognisable fifths : 3, average 704.9042 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 170.6500 cents: 3 -- Rational properties --
FIT/MODE
6: 0 1 1 1 1 2 N T3 SD: 127.7086 c. M: 187.9403 c. 7: 1 1 1 1 2 1 P M ME SD: 21.7514 c. M:-40.6311 c. 12: 2 1 2 2 3 2 P G D3 SD: 15.3999 c. M:-31.8272 c. Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island) 15: 2 2 2 3 3 3 P SD: 16.4212 c. M: 27.9403 c. 17: 2 2 3 3 4 3 P SD: 17.9007 c. M: 33.6416 c. 19: 3 2 3 3 5 3 P G D3 SD: 13.1801 c. M:-22.5860 c. 22: 3 3 3 4 5 4 P SD: 7.4676 c. M:-11.2782 c. 29: 4 4 4 5 7 5 P SD: 6.8684 c. M:-15.0399 c. 34: 5 4 5 6 8 6 P SD: 4.7192 c. M:-8.2977 c. 41: 6 5 6 7 10 7 P SD: 5.1049 c. M:-7.4369 c. 50: 7 6 8 8 12 9 P SD: 3.7212 c. M: 6.6528 c. 57: 8 7 9 9 14 10 P SD: 3.6710 c. M: 7.9160 c. 58: 8 7 9 10 14 10 P SD: 3.8464 c. M: 5.6497 c. 65: 9 8 10 11 15 12 P SD: 4.2390 c. M: 9.4788 c. 72: 10 9 11 12 17 13 P SD: 2.3331 c. M: 4.6070 c. 79: 11 10 12 13 19 14 P SD: 2.0755 c. M: 3.9187 c. 84: 12 10 13 14 20 15 P SD: 2.1288 c. M:-3.2557 c. 91: 13 11 14 15 22 16 P SD: 2.0856 c. M: 3.7517 c. 106: 15 13 16 18 25 19 P SD: 1.9825 c. M: 3.1826 c. 113: 16 14 17 19 27 20 P SD: 1.7184 c. M:-2.5895 c. 114: 16 14 18 19 27 20 SP SD: 2.0416 c. M:-3.9674 c. 129: 18 16 20 22 30 23 SP SD: 1.9983 c. M:-4.3239 c. 130: 18 16 20 22 31 23 P SD: 1.7334 c. M: 2.8342 c. 136: 19 17 21 23 32 24 SP SD: 1.6448 c. M:-3.2295 c. 137: 19 17 21 23 33 24 P SD: 1.5649 c. M: 2.0257 c. 148: 21 18 23 25 35 26 SP SD: 1.6106 c. M:-2.7526 c. 163: 23 20 25 27 39 29 P SD: 1.5734 c. M: 3.2663 c. 164: 23 20 26 27 39 29 SP SD: 1.5685 c. M:-3.5823 c. 171: 24 21 26 29 41 30 P SD: 1.4472 c. M: 3.0502 c. 179: 25 22 28 30 42 32 SP SD: 1.3579 c. M: 2.4655 c. 186: 26 23 29 31 44 33 SP SD: 0.9100 c. M:-1.9300 c. 191: 27 23 30 32 45 34 SP SD: 1.3398 c. M: 1.8584 c. 193: 27 24 30 32 46 34 SP SD: 1.0940 c. M:-2.3312 c. 198: 28 24 31 33 47 35 SP SD: 1.0156 c. M:-1.7345 c. 208: 29 26 32 35 49 37 SP SD: 1.0211 c. M: 1.4019 c. 220: 31 27 34 37 52 39 SP SD: 0.6665 c. M:-0.9835 c. 227: 32 28 35 38 54 40 SP SD: 0.7919 c. M:-1.1861 c. 244: 34 30 38 41 58 43 SP SD: 0.7428 c. M: 1.2405 c. 266: 37 33 41 45 63 47 SP SD: 0.7234 c. M: 1.2555 c. 273: 38 34 42 46 65 48 SP SD: 0.7232 c. M: 1.1399 c. 277: 39 34 43 46 66 49 SP SD: 0.7015 c. M:-1.2313 c. 278: 39 34 43 47 66 49 SP SD: 0.6246 c. M:-0.9443 c. 299: 42 37 46 50 71 53 SP SD: 0.5687 c. M:-1.0623 c. 323: 45 40 50 54 77 57 SP SD: 0.4846 c. M: 0.9902 c. 335: 47 41 52 56 80 59 SP SD: 0.4996 c. M: 0.7707 c. 350: 49 43 54 59 83 62 SP SD: 0.4432 c. M: 0.7243 c. 357: 50 44 55 60 85 63 SP SD: 0.2323 c. M: 0.4554 c. 543: 76 67 84 91 129 96 SP SD: 0.1824 c. M:-0.3617 c. 577: 81 71 89 97 137 102 SP SD: 0.1800 c. M:-0.2934 c. 893: 125 110 138 150 212 158 SP SD: 0.1704 c. M: 0.2584 c. 900: 126 111 139 151 214 159 SP SD: 0.0764 c. M: 0.1728 c. 1257: 176 155 194 211 299 222 SP SD: 0.0921 c. M: 0.1537 c. 1455: 204 179 225 244 346 257 SP SD: 0.0933 c. M:-0.1475 c. 1477: 207 182 228 248 351 261 SP SD: 0.0547 c. M:-0.1231 c. 1527: 214 188 236 256 363 270 SP SD: 0.0788 c. M: 0.1211 c. 1812: 254 223 280 304 431 320 SP SD: 0.0728 c. M:-0.1391 c. 1834: 257 226 283 308 436 324 SP SD: 0.0582 c. M: 0.0962 c. 1884: 264 232 291 316 448 333 SP SD: 0.0559 c. M: 0.1051 c. 2111: 296 260 326 354 502 373 SP SD: 0.0592 c. M:-0.0886 c. 2377: 333 293 367 399 565 420 SP SD: 0.0456 c. M:-0.0817 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 0.3489 cents 3 x x 4 x 5:6 S SD: 34.5442 cents 4 x 5 x 6:7:8 S SD: 18.2185 cents 5 x 6:7:8:9:10 S SD: 28.1454 cents 6 x 7:8:9:11:12 SD: 15.7441 cents 7:8 x 9:11:12:14 SD: 26.6321 cents 8:9:10:11:12:14:16 S SD: 15.8902 cents 9:10:11:12:14:16:18 S SD: 11.9524 cents 10:11:12:13:15:18:20 SD: 9.2898 cents 16:18:19:21:24:28:32 SD: 8.9996 cents 18:20:22:24:27:32:36 SD: 5.9320 cents 20:22:24:27:30:35:40 S SD: 4.4387 cents 29:32:35:39:44:51:58 SD: 4.4355 cents 30:33:36:40:45:53:60 SD: 0.8903 cents 110:121:132:147:165:195:220 SD: 0.7730 cents 116:128:139:155:174:205:232 SD: 0.7157 cents 140:154:168:187:210:248:280 SD: 0.6347 cents 146:161:175:195:219:258:292 SD: 0.5867 cents 164:181:197:219:246:290:328 SD: 0.5459 cents 176:194:211:235:264:311:352 SD: 0.5451 cents 194:214:233:259:291:343:388 SD: 0.4571 cents 196:216:235:262:294:347:392 SD: 0.4112 cents 214:236:257:286:321:379:428 SD: 0.4109 cents 226:249:271:302:339:400:452 SD: 0.3269 cents 244:269:293:326:366:432:488 SD: 0.2802 cents 265:292:318:354:398:469:530 SD: 0.2631 cents 274:302:329:366:411:485:548 SD: 0.2012 cents 304:335:365:406:456:538:608 SD: 0.1749 cents 459:506:551:613:689:812:918 SD: 0.1712 cents 489:539:587:653:734:865:978 SD: 0.1693 cents 500:551:600:668:750:885:1000 SD: 0.1640 cents 509:561:611:680:764:901:1018 SD: 0.1482 cents 539:594:647:720:809:954:1078 SD: 0.1093 cents 569:627:683:760:854:1007:1138 SD: 0.0908 cents