Scala analysis: CD05_06_Egypt
Celui qui t'a aimé mérite d'être auprès de toi - ‘Abduh al-Ḥāmūlī (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 194.946 cents 194.945519 2: 343.627 cents 343.626513 3: 490.223 cents 490.223093 4: 697.305 cents 697.305099 5: 928.376 cents 928.375731 6: 983.132 cents 983.131904 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 216.8681 cents 216.8681 1: 194.9455 cents 194.9455 2: 148.6810 cents 148.6810 3: 146.5966 cents 146.5966 4: 207.0820 cents 207.0820 5: 231.0706 cents 231.0706 6: 54.7562 cents 54.7562 7: 216.8681 cents 216.8681
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 54.75617 cents 1: 1 146.59658 cents 1: 1 148.68099 cents 1: 1 194.94552 cents 1: 1 207.08201 cents 1: 1 216.86810 cents 1: 1 231.07063 cents 2: 1 271.62427 cents 2: 1 285.82680 cents 2: 1 295.27757 cents 2: 1 343.62651 cents 2: 1 353.67859 cents 2: 1 411.81362 cents 2: 1 438.15264 cents 3: 1 466.56979 cents 3: 1 490.22309 cents 3: 1 492.90881 cents 3: 1 502.35958 cents 3: 1 502.69490 cents 3: 1 560.49461 cents 3: 1 584.74922 cents 4: 1 615.25078 cents 4: 1 639.50539 cents 4: 1 697.30510 cents 4: 1 697.64042 cents 4: 1 707.09119 cents 4: 1 709.77691 cents 4: 1 733.43021 cents 5: 1 761.84736 cents 5: 1 788.18638 cents 5: 1 846.32141 cents 5: 1 856.37349 cents 5: 1 904.72243 cents 5: 1 914.17320 cents 5: 1 928.37573 cents 6: 1 968.92937 cents 6: 1 983.13190 cents 6: 1 992.91799 cents 6: 1 1005.05448 cents 6: 1 1051.31901 cents 6: 1 1053.40342 cents 6: 1 1145.24383 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 : 194.9 343.6 490.2 697.3 928.4 983.1 1200.0 194.9 : 148.7 295.3 502.4 733.4 788.2 1005.1 1200.0 343.6 : 146.6 353.7 584.7 639.5 856.4 1051.3 1200.0 490.2 : 207.1 438.2 492.9 709.8 904.7 1053.4 1200.0 697.3 : 231.1 285.8 502.7 697.6 846.3 992.9 1200.0 928.4 : 54.8 271.6 466.6 615.3 761.8 968.9 1200.0 983.1 : 216.9 411.8 560.5 707.1 914.2 1145.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 54.7562 .. 231.0706 cents 176.31446 cents 54.75617 cents 2: 271.6243 .. 438.1526 cents 166.52837 cents 40.55364 cents 3: 466.5698 .. 584.7492 cents 118.17943 cents 28.41715 cents 4: 615.2508 .. 733.4302 cents 118.17943 cents 30.50156 cents 5: 761.8474 .. 928.3757 cents 166.52837 cents 28.41715 cents 6: 968.9294 .. 1145.2438 cents 176.31446 cents 40.55364 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 54.75617 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 231.07063 cents Average / Smallest step : 3.130762 Largest / Average step : 1.347912 Largest / Smallest step : 4.219992 Median interval of one step : 194.94552 cents, amount: 1 Least squares average step : 172.01970 cents, oct.: 1204.13791 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DCBEGAF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 28.41715 cents Scale diversity : 1.662666 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.231630 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 : 0.33532 cents Number of recognisable fifths : 4, average 702.9534 cents Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 166.5284 cents: 4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 34.6531 c. M: 71.2329 c. Lebeng 9: 1 2 1 1 2 0 2 N D3 SD: 41.8769 c. M: 61.6122 c. 10: 2 1 1 2 2 0 2 P D3 S SD: 25.2212 c. M:-45.0545 c. 12: 2 1 2 2 2 1 2 P M ME I SD: 21.1166 c. M: 43.6265 c. G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Huseni, Kanara, Kapi, Nayaki Kanada, Ritigaula, Sriraga, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam 13: 2 2 1 3 2 1 2 P D3 SD: 24.9206 c. M:-41.1564 c. 14: 2 2 2 2 3 0 3 P T3 S SD: 21.0400 c. M: 40.2748 c. 17: 3 2 2 3 3 1 3 SP D3 S SD: 9.2546 c. M:-16.8192 c. 31: 5 4 4 5 6 1 6 SP S SD: 7.8490 c. M: 15.3900 c. 32: 5 4 4 6 6 1 6 P SD: 8.2864 c. M:-15.1949 c. 35: 6 4 4 6 7 2 6 SP SD: 8.3402 c. M: 11.5908 c. 38: 6 5 4 7 7 2 7 SP SD: 8.4515 c. M: 16.5389 c. 39: 6 5 5 7 7 2 7 SP SD: 6.2782 c. M:-10.3872 c. 45: 7 6 5 8 9 2 8 P SD: 5.7958 c. M: 10.2231 c. 48: 8 6 6 8 9 2 9 SP S SD: 5.9347 c. M:-9.7769 c. 49: 8 6 6 8 10 2 9 SP SD: 4.6843 c. M: 11.5908 c. 53: 9 6 7 9 10 2 10 SP SD: 6.1917 c. M: 9.5470 c. 54: 9 6 7 9 11 2 10 P SD: 6.0634 c. M: 10.2932 c. 56: 9 7 7 10 10 3 10 SP SD: 4.8345 c. M:-9.8378 c. 57: 9 7 7 10 11 3 10 SP SD: 4.8282 c. M: 6.7844 c. 62: 10 8 7 11 12 3 11 SP SD: 3.4100 c. M: 6.3521 c. 66: 11 8 8 11 13 3 12 SP SD: 3.2340 c. M: 6.3960 c. 74: 12 9 9 13 14 4 13 SP SD: 3.3104 c. M:-6.0573 c. 76: 12 10 9 13 15 3 14 SP SD: 3.3567 c. M: 5.4718 c. 78: 13 9 10 13 15 4 14 SP SD: 3.9968 c. M: 5.2988 c. 79: 13 10 9 14 15 4 14 SP SD: 3.3700 c. M:-5.7406 c. 81: 13 10 10 14 16 3 15 SP SD: 3.1602 c. M: 5.3541 c. 84: 14 10 10 15 16 4 15 SP SD: 2.9384 c. M:-5.0545 c. 88: 14 11 11 15 17 4 16 SP SD: 2.0879 c. M: 4.0364 c. 98: 16 12 12 17 19 4 18 SP SD: 1.6768 c. M: 3.5401 c. 105: 17 13 13 18 20 5 19 SP SD: 1.1751 c. M: 2.6614 c. 164: 27 20 20 28 32 7 30 SP SD: 1.6678 c. M: 2.6441 c. 167: 27 21 20 29 32 8 30 SP SD: 1.1277 c. M: 1.6003 c. 172: 28 21 21 30 33 8 31 SP SD: 1.0289 c. M: 1.8510 c. 203: 33 25 25 35 39 9 37 SP SD: 0.7884 c. M: 1.8511 c. 220: 36 27 27 38 42 10 40 SP SD: 0.9406 c. M:-1.4181 c. 227: 37 28 28 39 44 10 41 SP SD: 0.9815 c. M:-2.0207 c. 234: 38 29 29 40 45 11 42 SP SD: 0.9710 c. M:-2.0846 c. 244: 40 30 30 42 47 11 44 SP SD: 1.1133 c. M:-1.7758 c. 248: 40 31 30 43 48 11 45 SP SD: 0.9044 c. M: 1.5134 c. 265: 43 33 32 46 51 12 48 SP SD: 0.5260 c. M: 1.1665 c. 282: 46 35 34 49 54 13 51 SP SD: 0.6918 c. M:-1.0543 c. 332: 54 41 41 57 64 15 60 SP SD: 0.5728 c. M:-1.3432 c. 353: 57 44 43 61 68 16 64 SP SD: 0.6251 c. M: 1.1778 c. 370: 60 46 45 64 71 17 67 SP SD: 0.4190 c. M: 0.8082 c. 394: 64 49 48 68 76 18 71 SP SD: 0.3838 c. M:-0.6244 c. 482: 78 60 59 83 93 22 87 SP SD: 0.3401 c. M: 0.7546 c. 499: 81 62 61 86 96 23 90 SP SD: 0.2486 c. M:-0.4352 c. 597: 97 74 73 103 115 27 108 SP SD: 0.1748 c. M:-0.2675 c. 967: 157 120 118 167 186 44 175 SP SD: 0.1470 c. M: 0.2984 c. 1096: 178 136 134 189 211 50 198 SP SD: 0.1458 c. M:-0.2879 c. 1163: 189 144 142 201 224 53 210 SP SD: 0.1510 c. M:-0.2571 c. 1251: 203 155 153 216 241 57 226 SP SD: 0.1399 c. M: 0.2213 c. 1268: 206 157 155 219 244 58 229 SP SD: 0.0930 c. M:-0.1712 c. 1466: 238 182 179 253 282 67 265 SP SD: 0.1095 c. M:-0.1661 c. 1533: 249 190 187 265 295 70 277 SP SD: 0.0978 c. M: 0.2035 c. 1638: 266 203 200 283 315 75 296 SP SD: 0.0972 c. M: 0.1706 c. 1687: 274 209 206 291 325 77 305 SP SD: 0.1079 c. M: 0.2097 c. 1816: 295 225 222 313 350 83 328 SP SD: 0.0877 c. M: 0.1685 c. 1865: 303 231 228 322 359 85 337 SP SD: 0.0822 c. M:-0.1748 c. 1914: 311 237 234 330 369 87 346 SP SD: 0.0846 c. M:-0.1509 c. 1931: 314 239 236 333 372 88 349 SP SD: 0.0845 c. M:-0.1865 c. 2019: 328 250 247 348 389 92 365 SP SD: 0.0790 c. M: 0.1283 c. 2081: 338 258 254 359 401 95 376 SP SD: 0.0683 c. M: 0.1403 c. 2179: 354 270 266 376 420 99 394 SP SD: 0.0821 c. M:-0.1236 c. 2186: 355 271 267 377 421 100 395 SP SD: 0.0730 c. M: 0.1413 c. 2235: 363 277 273 386 430 102 404 SP SD: 0.0637 c. M:-0.1446 c. 2284: 371 283 279 394 440 104 413 SP SD: 0.0629 c. M: 0.1196 c. 2301: 374 285 281 397 443 105 416 SP SD: 0.0632 c. M:-0.1001 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: 2.3250 cents 3 x x 4 x 5 x 6 S SD: 14.9022 cents 4 x 5 x 6 x 7:8 S SD: 11.3150 cents 5 x 6:7 x x 9:10 SD: 25.6030 cents 6:7 x 8:9:10:11:12 S SD: 17.9352 cents 7:8 x 9:10:12 x 14 S SD: 20.7328 cents 8:9:10:11:12 x 14:16 S SD: 12.7600 cents 9:10:11:12:13:15:16:18 SD: 11.0852 cents 10:11:12:13:15:17:18:20 SD: 9.3465 cents 11:12:13:15:16:19 x 22 SD: 16.4904 cents 12:13:15:16:18 x 21:24 SD: 12.1193 cents 13:15:16:17:19:22:23:26 SD: 10.7476 cents 14:16:17:19:21:24:25:28 SD: 8.2309 cents 15:17:18:20:22:26 x 30 SD: 9.2209 cents 16:18:20:21:24:27:28:32 S SD: 7.8423 cents 17:19:21:23:25:29:30:34 SD: 7.1229 cents 18:20:22:24:27:31:32:36 SD: 3.4549 cents 33:37:40:44:49:56:58:66 SD: 3.3840 cents 34:38:41:45:51:58:60:68 SD: 3.0204 cents 40:45:49:53:60:68:71:80 SD: 2.7497 cents 41:46:50:54:61:70:72:82 SD: 2.7186 cents 42:47:51:56:63:72:74:84 SD: 1.8530 cents 51:57:62:68:76:87:90:102 SD: 1.7854 cents 58:65:71:77:87:99:102:116 SD: 1.5005 cents 59:66:72:78:88:101:104:118 SD: 1.3156 cents 68:76:83:90:102:116:120:136 SD: 1.1793 cents 76:85:93:101:114:130:134:152 SD: 1.1469 cents 77:86:94:102:115:132:136:154 SD: 1.1187 cents 86:96:105:114:129:147:152:172 SD: 1.0991 cents 92:103:112:122:138:157:162:184 SD: 1.0740 cents 100:112:122:133:150:171:176:200 SD: 1.0658 cents 101:113:123:134:151:173:178:202 SD: 0.6945 cents 119:133:145:158:178:203:210:238 SD: 0.6769 cents 141:158:172:187:211:241:249:282 SD: 0.4319 cents 183:205:223:243:274:313:323:366 SD: 0.4063 cents 186:208:227:247:278:318:328:372 SD: 0.3988 cents 220:246:268:292:329:376:388:440 SD: 0.3942 cents 242:271:295:321:362:414:427:484 SD: 0.2963 cents 268:300:327:356:401:458:473:536 SD: 0.2603 cents 327:366:399:434:489:559:577:654 SD: 0.1606 cents 369:413:450:490:552:631:651:738 SD: 0.1346 cents 437:489:533:580:654:747:771:874 SD: 0.1190 cents 510:571:622:677:763:872:900:1020 SD: 0.1057 cents