Scala analysis: CD01_13_bayati_Egypt
La magie a cerné les yeux / Par celui qui a enivré - 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: 146.190 cents 146.190476 2: 293.027 cents 293.026775 3: 489.006 cents 489.005698 4: 693.912 cents 693.912088 5: 830.745 cents 830.744853 6: 973.954 cents 973.953586 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 226.0464 cents 226.0464 1: 146.1905 cents 146.1905 2: 146.8363 cents 146.8363 3: 195.9789 cents 195.9789 4: 204.9064 cents 204.9064 5: 136.8328 cents 136.8328 6: 143.2087 cents 143.2087 7: 226.0464 cents 226.0464
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 136.83276 cents 1: 1 143.20873 cents 1: 1 146.19048 cents 1: 1 146.83630 cents 1: 1 195.97892 cents 1: 1 204.90639 cents 1: 1 226.04641 cents 2: 1 280.04150 cents 2: 1 293.02677 cents 2: 1 341.73916 cents 2: 1 342.81522 cents 2: 1 369.25515 cents 2: 1 372.23689 cents 2: 1 400.88531 cents 3: 1 484.94789 cents 3: 1 489.00570 cents 3: 1 506.08791 cents 3: 1 515.44562 cents 3: 1 519.07319 cents 3: 1 537.71808 cents 3: 1 547.72161 cents 4: 1 652.27839 cents 4: 1 662.28192 cents 4: 1 680.92681 cents 4: 1 684.55438 cents 4: 1 693.91209 cents 4: 1 710.99430 cents 4: 1 715.05211 cents 5: 1 799.11469 cents 5: 1 827.76311 cents 5: 1 830.74485 cents 5: 1 857.18478 cents 5: 1 858.26084 cents 5: 1 906.97322 cents 5: 1 919.95850 cents 6: 1 973.95359 cents 6: 1 995.09361 cents 6: 1 1004.02108 cents 6: 1 1053.16370 cents 6: 1 1053.80952 cents 6: 1 1056.79127 cents 6: 1 1063.16724 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 : 146.2 293.0 489.0 693.9 830.7 974.0 1200.0 146.2 : 146.8 342.8 547.7 684.6 827.8 1053.8 1200.0 293.0 : 196.0 400.9 537.7 680.9 907.0 1053.2 1200.0 489.0 : 204.9 341.7 484.9 711.0 857.2 1004.0 1200.0 693.9 : 136.8 280.0 506.1 652.3 799.1 995.1 1200.0 830.7 : 143.2 369.3 515.4 662.3 858.3 1063.2 1200.0 974.0 : 226.0 372.2 519.1 715.1 920.0 1056.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 136.8328 .. 226.0464 cents 89.21365 cents 136.83276 cents 2: 280.0415 .. 400.8853 cents 120.84381 cents 53.99508 cents 3: 484.9479 .. 547.7216 cents 62.77372 cents 84.06257 cents 4: 652.2784 .. 715.0521 cents 62.77372 cents 104.55678 cents 5: 799.1147 .. 919.9585 cents 120.84382 cents 84.06257 cents 6: 973.9536 .. 1063.1672 cents 89.21365 cents 53.99508 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 136.83276 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 226.04641 cents Average / Smallest step : 1.252833 Largest / Average step : 1.318604 Largest / Smallest step : 1.651990 Median interval of one step : 146.83630 cents, amount: 1 Least squares average step : 166.94539 cents, oct.: 1168.61776 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CDEFABG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 53.99508 cents Scale diversity : 1.459173 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.545281 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 : 0.64582 cents Number of recognisable fifths : 3, average 706.6528 cents Number of appreciable fifths : 2, average 702.4532 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% Limited inverse transpositions with margin 107.8585 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 32.7464 c. M:-54.6178 c. Lebeng 10: 1 1 2 2 1 1 2 P D3 S SD: 25.4666 c. M: 53.0268 c. 12: 1 2 2 2 1 2 2 P M ME S SD: 23.7961 c. M: 46.1905 c. G.Dorian, M.Phrygian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Bilashkhani Todi, Ghanta, Makam Kurd, Gregorian nr.3, In, Zokuso: Japan, Ousak: Greece, Major inverse 15: 2 2 2 3 1 2 3 P D3 SD: 20.0709 c. M: 30.7449 c. 16: 2 2 3 2 2 2 3 SP M ME S SD: 15.8136 c. M:-35.9943 c. Pseudo Pelog, Pelogic-7, Antiionian 17: 2 2 3 3 2 2 3 SP D3 S SD: 10.5465 c. M:-16.3140 c. 25: 3 3 4 4 3 3 5 SP D3 S SD: 11.9727 c. M: 21.9121 c. 26: 3 3 5 4 3 3 5 SP SD: 9.9508 c. M:-18.6866 c. 32: 4 4 5 6 3 4 6 SP SD: 7.9733 c. M:-18.5879 c. 33: 4 4 5 6 4 4 6 SP SD: 7.2944 c. M: 16.2784 c. 36: 4 5 6 6 4 4 7 SP SD: 7.8528 c. M: 12.8571 c. 41: 5 5 7 7 4 5 8 SP SD: 6.9470 c. M: 11.2327 c. 42: 5 5 7 7 5 5 8 SP S SD: 4.6862 c. M: 8.1978 c. 49: 6 6 8 8 6 6 9 SP S SD: 3.8646 c. M: 8.1978 c. 52: 6 7 8 9 6 6 10 SP SD: 4.6678 c. M: 7.7289 c. 59: 7 7 10 10 7 7 11 SP S SD: 3.8715 c. M: 8.2810 c. 64: 8 8 10 11 7 8 12 SP SD: 3.7708 c. M:-6.9732 c. 69: 8 9 11 12 8 8 13 SP SD: 3.3863 c. M: 7.0600 c. 71: 9 8 12 12 8 9 13 SP S SD: 4.0791 c. M:-6.3281 c. 73: 9 9 12 12 9 8 14 SP SD: 4.0600 c. M:-7.6113 c. 74: 9 9 12 13 8 9 14 SP SD: 2.2019 c. M: 3.7178 c. 81: 10 10 13 14 9 10 15 SP SD: 2.2706 c. M:-3.8242 c. 107: 13 13 18 18 12 13 20 SP SD: 1.9930 c. M:-4.4522 c. 116: 14 14 19 20 13 14 22 SP SD: 2.2058 c. M: 3.3716 c. 123: 15 15 20 21 14 15 23 SP SD: 1.0702 c. M:-1.6562 c. 221: 27 27 36 38 25 26 42 SP SD: 0.8924 c. M: 2.0079 c. 228: 28 28 37 39 26 27 43 SP SD: 0.9242 c. M:-1.7101 c. 253: 31 31 41 43 29 30 48 SP SD: 1.0123 c. M: 1.6216 c. 254: 31 31 42 43 29 30 48 SP SD: 0.9963 c. M:-2.3329 c. 263: 32 32 43 45 30 31 50 SP SD: 0.9489 c. M: 2.0905 c. 270: 33 33 44 46 31 32 51 SP SD: 0.4120 c. M: 0.6203 c. 344: 42 42 56 59 39 41 65 SP SD: 0.4357 c. M: 0.6978 c. 361: 44 44 59 62 41 43 68 SP SD: 0.4056 c. M:-0.8248 c. 393: 48 48 64 67 45 47 74 SP SD: 0.3824 c. M: 0.7823 c. 410: 50 50 67 70 47 49 77 SP SD: 0.3673 c. M:-0.6806 c. 451: 55 55 74 77 51 54 85 SP SD: 0.4013 c. M: 0.5896 c. 484: 59 59 79 83 55 58 91 SP SD: 0.3500 c. M: 0.5759 c. 552: 67 68 90 94 63 66 104 SP SD: 0.3370 c. M: 0.5383 c. 569: 69 70 93 97 65 68 107 SP SD: 0.3228 c. M: 0.6720 c. 631: 77 77 103 108 72 75 119 SP SD: 0.2298 c. M:-0.3170 c. 721: 88 88 118 123 82 86 136 SP SD: 0.2224 c. M:-0.3147 c. 754: 92 92 123 129 86 90 142 SP SD: 0.1930 c. M: 0.4115 c. 839: 102 103 137 143 96 100 158 SP SD: 0.1934 c. M: 0.3025 c. 913: 111 112 149 156 104 109 172 SP SD: 0.1248 c. M: 0.2978 c. 1008: 123 123 165 172 115 120 190 SP SD: 0.1875 c. M:-0.2800 c. 1036: 126 127 169 177 118 124 195 SP SD: 0.1690 c. M: 0.2445 c. 1131: 138 138 185 193 129 135 213 SP SD: 0.1227 c. M:-0.2286 c. 1183: 144 145 193 202 135 141 223 SP SD: 0.0995 c. M: 0.1582 c. 1544: 188 189 252 264 176 184 291 SP SD: 0.0968 c. M: 0.1456 c. 1593: 194 195 260 272 182 190 300 SP SD: 0.0889 c. M:-0.1403 c. 1667: 203 204 272 285 190 199 314 SP SD: 0.0906 c. M: 0.2235 c. 1683: 205 206 275 287 192 201 317 SP SD: 0.0812 c. M: 0.1509 c. 1774: 216 217 290 303 202 212 334 SP SD: 0.0919 c. M: 0.1294 c. 1904: 232 233 311 325 217 227 359 SP SD: 0.0914 c. M: 0.2141 c. 1921: 234 235 314 328 219 229 362 SP SD: 0.0749 c. M:-0.1146 c. 2044: 249 250 334 349 233 244 385 SP SD: 0.0332 c. M: 0.0718 c. 2314: 282 283 378 395 264 276 436 SP SD: 0.0370 c. M: 0.0556 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: 4.0215 cents 3 x x 4 x 5 x 6 S SD: 18.1235 cents 4 x 5 x 6 x 7:8 S SD: 23.4433 cents 5 x 6:7 x 8:9:10 S SD: 21.4015 cents 6 x 7:8:9:10:11:12 S SD: 16.1517 cents 7 x 8:9:10:11:12:14 S SD: 21.4534 cents 8:9 x 11:12:13:14:16 SD: 14.3382 cents 10:11:12:13:15:16:18:20 SD: 9.4071 cents 12:13:14:16:18:19:21:24 SD: 6.6286 cents 21:23:25:28:31:34:37:42 SD: 3.8575 cents 31:34:37:41:46:50:54:62 SD: 3.7411 cents 32:35:38:42:48:52:56:64 SD: 3.5544 cents 33:36:39:44:49:53:58:66 SD: 2.5674 cents 34:37:40:45:51:55:60:68 SD: 2.4997 cents 37:40:44:49:55:60:65:74 SD: 2.3911 cents 44:48:52:58:66:71:77:88 SD: 2.2425 cents 49:53:58:65:73:79:86:98 SD: 1.6737 cents 55:60:65:73:82:89:97:110 SD: 1.5462 cents 65:71:77:86:97:105:114:130 SD: 1.1604 cents 81:88:96:107:121:131:142:162 SD: 1.1598 cents 91:99:108:121:136:147:160:182 SD: 0.9332 cents 102:111:121:135:152:165:179:204 SD: 0.8578 cents 114:124:135:151:170:184:200:228 SD: 0.5539 cents 156:170:185:207:233:252:274:312 SD: 0.5330 cents 172:187:204:228:257:278:302:344 SD: 0.4761 cents 180:196:213:239:269:291:316:360 SD: 0.4715 cents 184:200:218:244:275:297:323:368 SD: 0.4591 cents 205:223:243:272:306:331:360:410 SD: 0.3228 cents 260:283:308:345:388:420:456:520 SD: 0.2714 cents 282:307:334:374:421:456:495:564 SD: 0.2220 cents 294:320:348:390:439:475:516:588 SD: 0.1805 cents 331:360:392:439:494:535:581:662 SD: 0.1711 cents 466:507:552:618:696:753:818:932 SD: 0.1045 cents