Scala analysis: CD01_10_bayati_Egypt
Toi qui fait honte aux astres / Emplis-moi les coupes / De taille élégante / Toi qui a de belles lèvres - 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: 152.800 cents 152.799860 2: 297.341 cents 297.340807 3: 484.345 cents 484.344751 4: 686.442 cents 686.441989 5: 825.953 cents 825.953160 6: 987.301 cents 987.300500 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 212.6995 cents 212.6995 1: 152.7999 cents 152.7999 2: 144.5409 cents 144.5409 3: 187.0039 cents 187.0039 4: 202.0972 cents 202.0972 5: 139.5112 cents 139.5112 6: 161.3473 cents 161.3473 7: 212.6995 cents 212.6995
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 139.51117 cents 1: 1 144.54095 cents 1: 1 152.79986 cents 1: 1 161.34734 cents 1: 1 187.00394 cents 1: 1 202.09724 cents 1: 1 212.69950 cents 2: 1 297.34081 cents 2: 1 300.85851 cents 2: 1 331.54489 cents 2: 1 341.60841 cents 2: 1 365.49936 cents 2: 1 374.04684 cents 2: 1 389.10118 cents 3: 1 484.34475 cents 3: 1 502.95575 cents 3: 1 510.04031 cents 3: 1 513.55801 cents 3: 1 526.84670 cents 3: 1 528.61235 cents 3: 1 533.64213 cents 4: 1 666.35787 cents 4: 1 671.38765 cents 4: 1 673.15330 cents 4: 1 686.44199 cents 4: 1 689.95969 cents 4: 1 697.04425 cents 4: 1 715.65525 cents 5: 1 810.89882 cents 5: 1 825.95316 cents 5: 1 834.50064 cents 5: 1 858.39159 cents 5: 1 868.45511 cents 5: 1 899.14149 cents 5: 1 902.65919 cents 6: 1 987.30050 cents 6: 1 997.90276 cents 6: 1 1012.99606 cents 6: 1 1038.65266 cents 6: 1 1047.20014 cents 6: 1 1055.45905 cents 6: 1 1060.48883 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 : 152.8 297.3 484.3 686.4 826.0 987.3 1200.0 152.8 : 144.5 331.5 533.6 673.2 834.5 1047.2 1200.0 297.3 : 187.0 389.1 528.6 690.0 902.7 1055.5 1200.0 484.3 : 202.1 341.6 503.0 715.7 868.5 1013.0 1200.0 686.4 : 139.5 300.9 513.6 666.4 810.9 997.9 1200.0 826.0 : 161.3 374.0 526.8 671.4 858.4 1060.5 1200.0 987.3 : 212.7 365.5 510.0 697.0 899.1 1038.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 139.5112 .. 212.6995 cents 73.18833 cents 139.51117 cents 2: 297.3408 .. 389.1012 cents 91.76037 cents 84.64131 cents 3: 484.3448 .. 533.6421 cents 49.29738 cents 95.24357 cents 4: 666.3579 .. 715.6552 cents 49.29738 cents 132.71574 cents 5: 810.8988 .. 902.6592 cents 91.76037 cents 95.24357 cents 6: 987.3005 .. 1060.4888 cents 73.18833 cents 84.64131 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 139.51117 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 212.69950 cents Average / Smallest step : 1.228780 Largest / Average step : 1.240747 Largest / Smallest step : 1.524606 Median interval of one step : 161.34734 cents, amount: 1 Least squares average step : 167.14180 cents, oct.: 1169.99262 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CBEFADG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 84.64131 cents Scale diversity : 1.389415 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.642923 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 : 1.76565 cents Number of recognisable fifths : 4, average 697.2753 cents Number of appreciable fifths : 2, average 693.5020 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 91.7604 cents: 2 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 29.2571 c. M:-45.5163 c. Lebeng 12: 2 1 2 2 1 2 2 P M ME S SD: 22.3564 c. M:-47.2001 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 13: 2 1 2 2 2 2 2 SP M ME S SD: 25.0265 c. M: 40.2881 c. Tamashian 15: 2 2 2 3 1 2 3 P D3 SD: 21.1430 c. M:-33.5580 c. 16: 2 2 2 3 2 2 3 SP M ME S SD: 14.5288 c. M: 34.3448 c. Antilydian 17: 2 2 3 3 2 2 3 SP D3 S SD: 13.5198 c. M:-21.1057 c. 23: 3 3 3 4 3 3 4 SP M ME S SD: 9.5602 c. M:-15.7027 c. Pelogic-7, Antilydian 29: 4 3 5 5 3 4 5 SP S SD: 9.9668 c. M:-17.0063 c. 32: 4 4 5 5 4 4 6 SP D3 S SD: 6.6332 c. M: 12.3005 c. 33: 4 4 5 6 4 4 6 SP SD: 7.4515 c. M: 11.6175 c. 39: 5 5 6 6 5 5 7 SP D3 S SD: 6.4661 c. M:-10.3515 c. 40: 5 5 6 7 5 5 7 SP SD: 5.9887 c. M:-14.0468 c. 45: 6 5 7 8 5 6 8 SP SD: 4.3945 c. M:-7.2001 c. 52: 7 6 8 9 6 7 9 SP SD: 4.8724 c. M:-8.7386 c. 57: 7 7 9 10 6 8 10 SP SD: 4.3727 c. M:-8.2949 c. 61: 8 7 10 10 7 8 11 SP S SD: 3.7748 c. M:-7.4585 c. 74: 9 9 12 12 9 10 13 SP SD: 4.0482 c. M: 6.8539 c. 77: 10 9 12 13 9 10 14 SP SD: 2.4753 c. M: 5.4823 c. 80: 10 10 12 14 9 11 14 SP SD: 2.7939 c. M: 4.3448 c. 84: 11 10 13 14 10 11 15 SP SD: 2.3210 c. M:-4.3430 c. 86: 11 10 14 14 10 12 15 SP SD: 2.9654 c. M: 4.3176 c. 89: 11 11 14 15 10 12 16 SP SD: 2.5203 c. M: 4.4853 c. 96: 12 12 15 16 11 13 17 SP SD: 1.9616 c. M:-3.1552 c. 102: 13 12 16 17 12 14 18 SP SD: 2.3252 c. M: 4.0890 c. 109: 14 13 17 18 13 15 19 SP SD: 2.0451 c. M: 3.8732 c. 112: 14 14 17 19 13 15 20 SP SD: 1.8405 c. M: 2.7999 c. 124: 16 15 19 21 14 17 22 SP SD: 1.8243 c. M: 3.3725 c. 134: 17 16 21 23 15 18 24 SP SD: 1.8176 c. M:-3.1102 c. 141: 18 17 22 24 16 19 25 SP SD: 1.1785 c. M:-2.9197 c. 142: 18 17 22 24 17 19 25 SP SD: 1.7187 c. M: 2.6546 c. 148: 19 18 23 25 17 20 26 SP SD: 1.9086 c. M:-2.7472 c. 154: 20 18 24 26 18 21 27 SP SD: 1.6112 c. M:-3.0443 c. 157: 20 19 24 27 18 21 28 SP SD: 1.3398 c. M: 2.8161 c. 171: 22 20 27 29 20 23 30 SP SD: 1.6967 c. M: 2.6040 c. 173: 22 21 27 29 20 23 31 SP SD: 1.0765 c. M: 2.3294 c. 190: 24 23 30 32 22 25 34 SP SD: 1.4974 c. M: 2.0373 c. 196: 25 24 30 33 23 26 35 SP SD: 1.2518 c. M:-2.6592 c. 198: 25 24 31 33 23 27 35 SP SD: 1.0585 c. M: 1.7107 c. 203: 26 24 32 34 24 27 36 SP SD: 1.0215 c. M: 1.7743 c. 225: 29 27 35 38 26 30 40 SP SD: 1.1685 c. M:-1.8668 c. 231: 29 28 36 39 27 31 41 SP SD: 1.0873 c. M: 2.1505 c. 238: 30 29 37 40 28 32 42 SP SD: 0.8253 c. M: 1.5394 c. 243: 31 29 38 41 28 33 43 SP SD: 0.6597 c. M: 1.2618 c. 250: 32 30 39 42 29 34 44 SP SD: 0.6855 c. M:-1.4995 c. 282: 36 34 44 47 33 38 50 SP SD: 0.6527 c. M: 1.3356 c. 283: 36 34 44 48 33 38 50 SP SD: 0.6232 c. M: 0.9525 c. 299: 38 36 47 50 35 40 53 SP SD: 0.5975 c. M:-1.2740 c. 315: 40 38 49 53 37 42 56 SP SD: 0.5267 c. M: 0.7277 c. 327: 42 39 51 55 38 44 58 SP SD: 0.5223 c. M:-1.3286 c. 362: 46 44 56 61 42 49 64 SP SD: 0.5194 c. M:-1.0017 c. 379: 48 46 59 64 44 51 67 SP SD: 0.4872 c. M: 0.8210 c. 416: 53 50 65 70 48 56 74 SP SD: 0.4825 c. M: 0.9532 c. 423: 54 51 66 71 49 57 75 SP SD: 0.4149 c. M:-0.7616 c. 439: 56 53 68 74 51 59 78 SP SD: 0.4285 c. M:-0.6091 c. 456: 58 55 71 77 53 61 81 SP SD: 0.2800 c. M: 0.4584 c. 565: 72 68 88 95 66 76 100 SP SD: 0.2263 c. M: 0.4243 c. 654: 83 79 102 110 76 88 116 SP SD: 0.2393 c. M: 0.5063 c. 661: 84 80 103 111 77 89 117 SP SD: 0.2725 c. M:-0.3899 c. 699: 89 84 109 118 81 94 124 SP SD: 0.2089 c. M: 0.3451 c. 706: 90 85 110 119 82 95 125 SP SD: 0.1579 c. M:-0.2436 c. 981: 125 118 153 165 114 132 174 SP SD: 0.1492 c. M: 0.2651 c. 1021: 130 123 159 172 119 137 181 SP SD: 0.1224 c. M:-0.2956 c. 1264: 161 152 197 213 147 170 224 SP SD: 0.1002 c. M: 0.1889 c. 1360: 173 164 212 229 158 183 241 SP SD: 0.0723 c. M: 0.1528 c. 1687: 215 203 263 284 196 227 299 SP SD: 0.0703 c. M:-0.1343 c. 1925: 245 232 300 324 224 259 341 SP SD: 0.0691 c. M:-0.1281 c. 1970: 251 237 307 332 229 265 349 SP SD: 0.0743 c. M:-0.1107 c. 2002: 255 241 312 337 233 269 355 SP SD: 0.0645 c. M: 0.1283 c. 2143: 273 258 334 361 249 288 380 SP SD: 0.0509 c. M: 0.0863 c. 2381: 303 287 371 401 277 320 422 SP SD: 0.0483 c. M: 0.0909 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: 7.7565 cents 3 x x 4 x 5 x 6 S SD: 19.9970 cents 4 x 5 x 6 x 7:8 S SD: 23.0463 cents 5 x 6:7 x 8:9:10 S SD: 21.0143 cents 6 x 7:8:9:10:11:12 S SD: 15.4737 cents 7 x 8:9:10:11:12:14 S SD: 21.3325 cents 8:9:10:11:12:13:14:16 S SD: 17.9615 cents 9:10:11:12:13:15:16:18 SD: 13.9545 cents 10:11:12:13:15:16:18:20 SD: 7.4240 cents 18:20:21:24:27:29:32:36 SD: 6.8668 cents 20:22:24:26:30:32:35:40 SD: 6.5841 cents 21:23:25:28:31:34:37:42 SD: 3.1672 cents 31:34:37:41:46:50:55:62 SD: 1.8747 cents 43:47:51:57:64:69:76:86 SD: 1.2496 cents 64:70:76:85:95:103:113:128 SD: 1.2326 cents 74:81:88:98:110:119:131:148 SD: 0.8902 cents 96:105:114:127:143:155:170:192 SD: 0.8245 cents 111:121:132:147:165:179:196:222 SD: 0.8238 cents 118:129:140:156:175:190:209:236 SD: 0.7794 cents 121:132:144:160:180:195:214:242 SD: 0.6698 cents 139:152:165:184:207:224:246:278 SD: 0.5658 cents 164:179:195:217:244:264:290:328 SD: 0.5100 cents 183:200:217:242:272:295:324:366 SD: 0.4532 cents 208:227:247:275:309:335:368:416 SD: 0.3338 cents 251:274:298:332:373:404:444:502 SD: 0.3303 cents 272:297:323:360:404:438:481:544 SD: 0.3225 cents 273:298:324:361:406:440:483:546 SD: 0.2502 cents 294:321:349:389:437:474:520:588 SD: 0.1906 cents 304:332:361:402:452:490:538:608 SD: 0.1839 cents 337:368:400:446:501:543:596:674 SD: 0.1648 cents 347:379:412:459:516:559:614:694 SD: 0.1356 cents 368:402:437:487:547:593:651:736 SD: 0.1189 cents