Scala analysis: CD08_01_Egypt
Ô Mawlânâ, ami de la vérité - Mustafa Fahreddin Dede (rast, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 264.497 cents 264.496536 2: 490.122 cents 490.122181 3: 696.681 cents 696.681413 4: 811.903 cents 811.903174 5: 992.375 cents 992.374647 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 207.6254 cents 207.6254 1: 264.4965 cents 264.4965 2: 225.6256 cents 225.6256 3: 206.5592 cents 206.5592 4: 115.2218 cents 115.2218 5: 180.4715 cents 180.4715 6: 207.6254 cents 207.6254
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 115.22176 cents 1: 1 180.47147 cents 1: 1 206.55923 cents 1: 1 207.62535 cents 1: 1 225.62565 cents 1: 1 264.49654 cents 2: 1 295.69323 cents 2: 1 321.78099 cents 2: 1 388.09683 cents 2: 1 432.18488 cents 2: 1 472.12189 cents 2: 1 490.12218 cents 3: 1 502.25247 cents 3: 1 503.31859 cents 3: 1 547.40664 cents 3: 1 652.59336 cents 3: 1 696.68141 cents 3: 1 697.74753 cents 4: 1 709.87782 cents 4: 1 727.87811 cents 4: 1 767.81512 cents 4: 1 811.90317 cents 4: 1 878.21901 cents 4: 1 904.30677 cents 5: 1 935.50346 cents 5: 1 974.37435 cents 5: 1 992.37465 cents 5: 1 993.44077 cents 5: 1 1019.52853 cents 5: 1 1084.77824 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 : 264.5 490.1 696.7 811.9 992.4 1200.0 264.5 : 225.6 432.2 547.4 727.9 935.5 1200.0 490.1 : 206.6 321.8 502.3 709.9 974.4 1200.0 696.7 : 115.2 295.7 503.3 767.8 993.4 1200.0 811.9 : 180.5 388.1 652.6 878.2 1084.8 1200.0 992.4 : 207.6 472.1 697.7 904.3 1019.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 115.2218 .. 264.4965 cents 149.27477 cents 115.22176 cents 2: 295.6932 .. 490.1222 cents 194.42895 cents 31.19670 cents 3: 502.2525 .. 697.7475 cents 195.49507 cents 12.13028 cents 4: 709.8778 .. 904.3068 cents 194.42895 cents 12.13028 cents 5: 935.5035 .. 1084.7782 cents 149.27477 cents 31.19670 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 115.22176 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 264.49654 cents Average / Smallest step : 1.735783 Largest / Average step : 1.322483 Largest / Smallest step : 2.295543 Median interval of one step : 207.09229 cents, amount: 0 Least squares average step : 205.98100 cents, oct.: 1235.88600 cents Scale is strictly proper Step pattern alph. order: ABCDEF Step pattern size order : FECABD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 12.13028 cents Scale diversity : 1.647848 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.264248 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 : 1.06612 cents Number of recognisable fifths : 3, average 701.4356 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 60.3171 c. M: 96.6814 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 2 1 1 1 1 1 P M ME SD: 41.2338 c. M:-78.3606 c. 9: 2 2 1 1 1 2 N SD: 32.6608 c. M: 59.0413 c. 10: 2 2 2 1 1 2 P D3 S SD: 22.6710 c. M: 32.3746 c. 12: 3 2 2 1 2 2 P G D3 SD: 16.1705 c. M:-35.5035 c. Phrygian Hexatonic, Raga Desya Todi, Gopikavasantam (Gopika Basant), Jayantasri 17: 4 3 3 2 2 3 P SD: 16.6959 c. M:-35.1556 c. 18: 4 3 3 2 3 3 SP D3 SD: 16.6112 c. M: 30.0147 c. 19: 4 4 3 2 3 3 P SD: 11.4528 c. M:-18.1517 c. 22: 5 4 4 2 3 4 P SD: 7.8869 c. M:-12.4095 c. 31: 7 6 5 3 5 5 P SD: 8.2941 c. M:-14.0770 c. 35: 8 6 6 4 5 6 SP SD: 8.5849 c. M: 10.9671 c. 36: 8 7 6 3 6 6 P SD: 7.2241 c. M: 11.9032 c. 40: 9 7 7 4 6 7 SP SD: 5.5775 c. M: 10.1222 c. 41: 9 8 7 4 6 7 P SD: 5.0843 c. M:-7.6090 c. 46: 10 9 8 4 7 8 P SD: 4.3578 c. M:-7.6664 c. 58: 13 11 10 5 9 10 P SD: 4.7028 c. M:-6.7669 c. 59: 13 11 10 6 9 10 SP SD: 2.9218 c. M: 5.1560 c. 64: 14 12 11 6 10 11 SP SD: 2.9806 c. M: 5.6532 c. 74: 16 14 13 7 11 13 SP SD: 2.8957 c. M: 5.0371 c. 81: 18 15 14 8 12 14 SP SD: 1.5761 c. M:-2.9116 c. 86: 19 16 15 8 13 15 SP SD: 1.5280 c. M: 2.6008 c. 105: 23 20 18 10 16 18 SP SD: 1.1892 c. M:-1.9111 c. 127: 28 24 22 12 19 22 SP SD: 1.1858 c. M:-2.5312 c. 145: 32 27 25 14 22 25 SP SD: 1.0864 c. M: 1.8463 c. 167: 37 31 29 16 25 29 SP SD: 0.8958 c. M: 1.4994 c. 186: 41 35 32 18 28 32 SP SD: 0.6360 c. M:-1.1737 c. 272: 60 51 47 26 41 47 SP SD: 0.2748 c. M: 0.4163 c. 458: 101 86 79 44 69 79 SP SD: 0.3230 c. M:-0.6385 c. 612: 135 115 105 59 92 106 SP SD: 0.2827 c. M: 0.6030 c. 653: 144 123 112 63 98 113 SP SD: 0.2792 c. M:-0.5363 c. 658: 145 124 113 63 99 114 SP SD: 0.2624 c. M:-0.4553 c. 717: 158 135 123 69 108 124 SP SD: 0.2282 c. M: 0.4471 c. 727: 160 137 125 70 109 126 SP SD: 0.2415 c. M: 0.3975 c. 739: 163 139 127 71 111 128 SP SD: 0.1640 c. M:-0.2702 c. 844: 186 159 145 81 127 146 SP SD: 0.1663 c. M:-0.3991 c. 884: 195 166 152 85 133 153 SP SD: 0.1654 c. M: 0.3013 c. 925: 204 174 159 89 139 160 SP SD: 0.1501 c. M:-0.2562 c. 989: 218 186 170 95 149 171 SP SD: 0.1319 c. M: 0.2203 c. 999: 220 188 172 96 150 173 SP SD: 0.1293 c. M: 0.2323 c. 1011: 223 190 174 97 152 175 SP SD: 0.0969 c. M:-0.1919 c. 1116: 246 210 192 107 168 193 SP SD: 0.1037 c. M:-0.2004 c. 1197: 264 225 206 115 180 207 SP SD: 0.1073 c. M:-0.1651 c. 1271: 280 239 219 122 191 220 SP SD: 0.0922 c. M: 0.1378 c. 1729: 381 325 298 166 260 299 SP SD: 0.1058 c. M:-0.1376 c. 1738: 383 327 299 167 261 301 SP SD: 0.0972 c. M: 0.1997 c. 1797: 396 338 309 173 270 311 SP SD: 0.0962 c. M: 0.1873 c. 1883: 415 354 324 181 283 326 SP SD: 0.0793 c. M: 0.1334 c. 1988: 438 374 342 191 299 344 SP SD: 0.0637 c. M: 0.1102 c. 2000: 441 376 344 192 301 346 SP SD: 0.0760 c. M:-0.1035 c. 2010: 443 378 346 193 302 348 SP SD: 0.0608 c. M: 0.1358 c. 2069: 456 389 356 199 311 358 SP SD: 0.0594 c. M: 0.1130 c. 2115: 466 398 364 203 318 366 SP SD: 0.0613 c. M: 0.0994 c. 2155: 475 405 371 207 324 373 SP SD: 0.0594 c. M: 0.0990 c. 2196: 484 413 378 211 330 380 SP SD: 0.0552 c. M:-0.1187 c. 2201: 485 414 379 211 331 381 SP SD: 0.0729 c. M: 0.0984 c. 2260: 498 425 389 217 340 391 SP SD: 0.0418 c. M: 0.0718 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 2.6368 cents 3 x 4 x 5 x 6 S SD: 24.2958 cents 4 x 5:6 x 7:8 S SD: 26.6441 cents 5:6:7 x 8:9:10 S SD: 21.7173 cents 6:7:8:9:10:11:12 H SD: 15.4504 cents 10:12:13:15:16:18:20 SD: 11.2698 cents 12:14:16:18:19:21:24 SD: 5.0496 cents 18:21:24:27:29:32:36 SD: 2.8842 cents 30:35:40:45:48:53:60 SD: 2.0437 cents 48:56:64:72:77:85:96 SD: 2.0076 cents 49:57:65:73:78:87:98 SD: 1.6928 cents 55:64:73:82:88:98:110 SD: 1.6136 cents 67:78:89:100:107:119:134 SD: 0.7756 cents 85:99:113:127:136:151:170 SD: 0.7405 cents 97:113:129:145:155:172:194 SD: 0.6057 cents 147:171:195:220:235:261:294 SD: 0.5827 cents 159:185:211:238:254:282:318 SD: 0.5018 cents 177:206:235:265:283:314:354 SD: 0.4715 cents 199:232:264:298:318:353:398 SD: 0.4626 cents 212:247:281:317:339:376:424 SD: 0.4121 cents 224:261:297:335:358:397:448 SD: 0.3999 cents 226:263:300:338:361:401:452 SD: 0.3888 cents 236:275:313:353:377:419:472 SD: 0.3650 cents 242:282:321:362:387:429:484 SD: 0.3205 cents 254:296:337:380:406:451:508 SD: 0.3163 cents 266:310:353:398:425:472:532 SD: 0.2252 cents 309:360:410:462:494:548:618 SD: 0.1448 cents 406:473:539:607:649:720:812 SD: 0.1414 cents 553:644:734:827:884:981:1106 SD: 0.1325 cents 563:656:747:842:900:999:1126 SD: 0.1308 cents 575:670:763:860:919:1020:1150 SD: 0.0859 cents