Scala analysis: CD09_12_Egypt
Rûmînajdî - Umm Ibrâhîm Al-Mahdiyya (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 360.120 cents 360.120450 2: 529.870 cents 529.869843 3: 789.352 cents 789.351852 4: 1023.750 cents 1023.750000 5: 1107.639 cents 1107.638889 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 92.3611 cents 92.3611 1: 360.1205 cents 360.1205 2: 169.7494 cents 169.7494 3: 259.4820 cents 259.4820 4: 234.3981 cents 234.3981 5: 83.8889 cents 83.8889 6: 92.3611 cents 92.3611
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 83.88889 cents 1: 1 92.36111 cents 1: 1 169.74939 cents 1: 1 234.39815 cents 1: 1 259.48201 cents 1: 1 360.12045 cents 2: 1 176.25000 cents 2: 1 318.28704 cents 2: 1 429.23140 cents 2: 1 452.48156 cents 2: 1 493.88016 cents 2: 1 529.86984 cents 3: 1 410.64815 cents 3: 1 536.37045 cents 3: 1 577.76905 cents 3: 1 622.23095 cents 3: 1 663.62955 cents 3: 1 789.35185 cents 4: 1 670.13016 cents 4: 1 706.11984 cents 4: 1 747.51844 cents 4: 1 770.76860 cents 4: 1 881.71296 cents 4: 1 1023.75000 cents 5: 1 839.87955 cents 5: 1 940.51799 cents 5: 1 965.60185 cents 5: 1 1030.25061 cents 5: 1 1107.63889 cents 5: 1 1116.11111 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 : 360.1 529.9 789.4 1023.8 1107.6 1200.0 360.1 : 169.7 429.2 663.6 747.5 839.9 1200.0 529.9 : 259.5 493.9 577.8 670.1 1030.3 1200.0 789.4 : 234.4 318.3 410.6 770.8 940.5 1200.0 1023.8: 83.9 176.2 536.4 706.1 965.6 1200.0 1107.6: 92.4 452.5 622.2 881.7 1116.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 83.8889 .. 360.1205 cents 276.23156 cents 83.88889 cents 2: 176.2500 .. 529.8698 cents 353.61984 cents -183.87045 cents 3: 410.6481 .. 789.3519 cents 378.70370 cents -119.22169 cents 4: 670.1302 .. 1023.7500 cents 353.61984 cents -119.22170 cents 5: 839.8795 .. 1116.1111 cents 276.23156 cents -183.87045 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 83.88889 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 360.12045 cents Average / Smallest step : 2.384106 Largest / Average step : 1.800602 Largest / Smallest step : 4.292827 Median interval of one step : 202.07377 cents, amount: 0 Least squares average step : 226.60561 cents, oct.: 1359.63364 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : FCEDAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.50061 cents Scale diversity : 1.745566 Lumma stability : 0.139815 Lumma impropriety factor : 0.505154 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 : 6.50061 cents Number of recognisable fifths : 1, average 706.1198 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 2 1 1 1 1 0 N T3 SD: 51.1805 c. M:-92.3611 c. 8: 2 1 2 2 0 1 N SD: 50.9142 c. M: 79.8698 c. 9: 3 1 2 2 0 1 N G SD: 29.5418 c. M:-42.9167 c. 11: 3 2 2 2 1 1 N SD: 25.8886 c. M: 41.9318 c. 12: 4 1 3 2 1 1 N SD: 23.1603 c. M:-39.8795 c. 13: 4 2 3 2 1 1 N SD: 20.1794 c. M:-41.4174 c. 14: 4 2 3 3 1 1 N SD: 12.4469 c. M: 17.9233 c. 23: 7 3 5 5 1 2 N SD: 10.5707 c. M:-19.7283 c. 26: 8 3 6 5 2 2 N SD: 10.5456 c. M: 22.1775 c. 27: 8 4 6 5 2 2 N SD: 5.1738 c. M:-10.6481 c. 40: 12 6 8 8 3 3 N SD: 5.9123 c. M:-10.1302 c. 41: 12 6 9 8 3 3 N SD: 4.2902 c. M: 8.9009 c. 43: 13 6 9 9 3 3 N SD: 6.0938 c. M:-8.8081 c. 47: 14 7 10 9 3 4 N SD: 5.0484 c. M: 9.7665 c. 50: 15 7 11 10 3 4 N SD: 3.9121 c. M:-8.2500 c. 56: 17 8 12 11 4 4 N SD: 4.6765 c. M:-6.6468 c. 61: 18 9 13 12 4 5 N SD: 3.6655 c. M: 6.0221 c. 67: 20 10 14 13 5 5 N SD: 3.5770 c. M:-7.4436 c. 70: 21 10 15 14 5 5 N SD: 3.4273 c. M:-6.6468 c. 74: 22 11 16 14 5 6 N SD: 3.9879 c. M:-5.2653 c. 76: 23 11 16 15 5 6 N SD: 3.4176 c. M:-6.9723 c. 77: 23 11 17 15 5 6 N SD: 3.0853 c. M:-5.4533 c. 81: 24 12 17 16 6 6 N SD: 3.2809 c. M: 4.5649 c. 82: 25 11 18 16 6 6 N SD: 3.2680 c. M:-5.7332 c. 87: 26 12 19 17 6 7 N SD: 3.4622 c. M: 5.7319 c. 88: 26 13 19 17 6 7 N SD: 2.8260 c. M: 5.5750 c. 90: 27 13 19 18 6 7 N SD: 2.1860 c. M:-3.4635 c. 102: 31 14 22 20 7 8 N SD: 2.0663 c. M:-4.5854 c. 114: 34 16 25 22 8 9 N SD: 2.2554 c. M: 3.5541 c. 116: 35 16 25 23 8 9 N SD: 1.8076 c. M: 3.1450 c. 117: 35 17 25 23 8 9 N SD: 1.6853 c. M:-3.4635 c. 129: 39 18 28 25 9 10 N SD: 1.2751 c. M:-2.6702 c. 143: 43 20 31 28 10 11 N SD: 0.6122 c. M: 1.1985 c. 170: 51 24 37 33 12 13 N SD: 0.5996 c. M:-1.2364 c. 260: 78 37 56 51 18 20 N SD: 0.5148 c. M:-0.8994 c. 313: 94 44 68 61 22 24 N SD: 0.4116 c. M: 0.7964 c. 353: 106 50 76 69 25 27 N SD: 0.4679 c. M: 0.6833 c. 374: 112 53 81 73 26 29 N SD: 0.4679 c. M: 0.7622 c. 403: 121 57 87 79 28 31 N SD: 0.2749 c. M:-0.5676 c. 430: 129 61 93 84 30 33 N SD: 0.3111 c. M:-0.4360 c. 523: 157 74 113 102 37 40 N SD: 0.3045 c. M:-0.5829 c. 546: 164 77 118 107 38 42 N SD: 0.2714 c. M:-0.4258 c. 573: 172 81 124 112 40 44 N SD: 0.1814 c. M:-0.3338 c. 716: 215 101 155 140 50 55 N SD: 0.1927 c. M:-0.2723 c. 856: 257 121 185 167 60 66 N SD: 0.1879 c. M: 0.3855 c. 897: 269 127 194 175 63 69 N SD: 0.1807 c. M: 0.3386 c. 906: 272 128 196 177 63 70 N SD: 0.1643 c. M: 0.3541 c. 947: 284 134 205 185 66 73 N SD: 0.1533 c. M: 0.2472 c. 1040: 312 147 225 203 73 80 N SD: 0.1732 c. M: 0.2885 c. 1076: 323 152 233 210 75 83 N SD: 0.1461 c. M:-0.2392 c. 1116: 335 158 241 218 78 86 N SD: 0.1277 c. M:-0.2377 c. 1130: 339 160 244 221 79 87 N SD: 0.1437 c. M: 0.3253 c. 1157: 347 164 250 226 81 89 N SD: 0.1135 c. M: 0.2242 c. 1259: 378 178 272 246 88 97 N SD: 0.1094 c. M:-0.1655 c. 1286: 386 182 278 251 90 99 N SD: 0.0852 c. M:-0.1457 c. 1300: 390 184 281 254 91 100 N SD: 0.0774 c. M: 0.1211 c. 1429: 429 202 309 279 100 110 N SD: 0.0672 c. M:-0.1315 c. 1470: 441 208 318 287 103 113 N SD: 0.0823 c. M: 0.1205 c. 1689: 507 239 365 330 118 130 N SD: 0.0743 c. M:-0.1479 c. 1730: 519 245 374 338 121 133 N SD: 0.0769 c. M: 0.1204 c. 1803: 541 255 390 352 126 139 N SD: 0.0897 c. M: 0.1514 c. 1832: 550 259 396 358 128 141 N SD: 0.0669 c. M:-0.1416 c. 1859: 558 263 402 363 130 143 N SD: 0.0689 c. M:-0.1048 c. 1873: 562 265 405 366 131 144 N SD: 0.0564 c. M:-0.1027 c. 2206: 662 312 477 431 154 170 N SD: 0.0539 c. M: 0.1140 c. 2233: 670 316 483 436 156 172 N SD: 0.0516 c. M:-0.0794 c. 2376: 713 336 514 464 166 183 N SD: 0.0437 c. M: 0.0719 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 43.6984 cents 3 x 4:5 x x 6 S SD: 33.3985 cents 4:5 x 6:7 x 8 S SD: 26.6235 cents 5:6:7:8:9 x 10 S SD: 14.6692 cents 6:7:8:9:11 x 12 SD: 26.8347 cents 7:9:10:11 x 13:14 SD: 24.1950 cents 8:10:11:13:14:15:16 SD: 14.0998 cents 9:11:12:14:16:17:18 SD: 8.4658 cents 14:17:19:22:25:27:28 SD: 7.2387 cents 16:20:22:25:29:30:32 SD: 7.1394 cents 17:21:23:27:31:32:34 SD: 4.1977 cents 22:27:30:35:40:42:44 SD: 3.9330 cents 26:32:35:41:47:49:52 SD: 3.1000 cents 30:37:41:47:54:57:60 SD: 3.0063 cents 31:38:42:49:56:59:62 SD: 1.8878 cents 47:58:64:74:85:89:94 SD: 1.2749 cents 73:90:99:115:132:138:146 SD: 1.1525 cents 78:96:106:123:141:148:156 SD: 0.3880 cents 182:224:247:287:329:345:364 SD: 0.3415 cents 251:309:341:396:453:476:502 SD: 0.2872 cents 260:320:353:410:470:493:520 SD: 0.2805 cents 268:330:364:423:484:508:536 SD: 0.1734 cents 346:426:470:546:625:656:692 SD: 0.0971 cents 528:650:717:833:954:1001:1056 SD: 0.0898 cents