Scala analysis: CD12_13_Iraq
Neuf rythmes de l'école de Bagdad, Duff Zinjârî - Ensemble de Muhammad Al-Qubbbânjî (unknown maqam, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 346.659 cents 346.659035 2: 586.550 cents 586.549745 3: 835.497 cents 835.497113 4: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 364.5029 cents 364.5029 1: 346.6590 cents 346.6590 2: 239.8907 cents 239.8907 3: 248.9474 cents 248.9474 4: 364.5029 cents 364.5029
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 239.89071 cents 1: 1 248.94737 cents 1: 1 346.65904 cents 1: 1 364.50289 cents 2: 1 488.83808 cents 2: 1 586.54974 cents 2: 1 613.45025 cents 2: 1 711.16192 cents 3: 1 835.49711 cents 3: 1 853.34096 cents 3: 1 951.05263 cents 3: 1 960.10929 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 346.7 586.5 835.5 1200.0 346.7 : 239.9 488.8 853.3 1200.0 586.5 : 248.9 613.5 960.1 1200.0 835.5 : 364.5 711.2 951.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 239.8907 .. 364.5029 cents 124.61218 cents 239.89071 cents 2: 488.8381 .. 711.1619 cents 222.32384 cents 124.33519 cents 3: 835.4971 .. 960.1093 cents 124.61218 cents 124.33519 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 239.89071 cents, class 1 Average step (divided formal octave): 300.0000 cents Largest one step interval : 364.50289 cents Average / Smallest step : 1.250569 Largest / Average step : 1.215010 Largest / Smallest step : 1.519454 Median interval of one step : 297.80320 cents, amount: 0 Least squares average step : 294.20833 cents, oct.: 1176.83332 cents Scale is strictly proper Step pattern alph. order: ABCD Step pattern size order : CABD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 124.33519 cents Scale diversity : 1.477401 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.607043 Rothenberg efficiency : 0.500000 redundancy: 0.500000 Efficiency x scale size : 2.000000 Number of different interval sizes : 12 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 9.05666 cents Number of recognisable fifths : 1, average 711.1619 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 25.0000% -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 40.3689 c. M:-64.5029 c. 6: 2 1 1 2 P D3 I SD: 32.7346 c. M:-53.3410 c. 10: 3 2 2 3 SP D3 I SD: 9.7361 c. M:-13.4503 c. 27: 8 5 6 8 SP SD: 7.6836 c. M:-8.9473 c. 35: 10 7 7 11 SP SD: 6.8531 c. M: 12.6400 c. 37: 11 7 8 11 SP SD: 6.5119 c. M:-10.0977 c. 39: 11 8 8 12 SP SD: 4.8294 c. M: 8.1975 c. 45: 13 9 9 14 SP SD: 4.4156 c. M: 8.8304 c. 49: 14 10 10 15 SP SD: 2.4493 c. M: 3.8019 c. 59: 17 12 12 18 SP SD: 1.8790 c. M:-3.2808 c. 76: 22 15 16 23 SP SD: 1.3950 c. M: 2.3392 c. 86: 25 17 18 26 SP SD: 1.4079 c. M:-2.1782 c. 115: 33 23 24 35 SP SD: 1.6356 c. M: 2.3112 c. 121: 35 24 25 37 SP SD: 1.4304 c. M: 2.4393 c. 125: 36 25 26 38 SP SD: 0.7266 c. M: 1.0590 c. 135: 39 27 28 41 SP SD: 0.0655 c. M:-0.1169 c. 1070: 309 214 222 325 SP SD: 0.0592 c. M: 0.1170 c. 1205: 348 241 250 366 SP SD: 0.0527 c. M: 0.1030 c. 1340: 387 268 278 407 SP SD: 0.0484 c. M: 0.0919 c. 1475: 426 295 306 448 SP SD: 0.0457 c. M: 0.0828 c. 1610: 465 322 334 489 SP SD: 0.0441 c. M: 0.0752 c. 1745: 504 349 362 530 SP SD: 0.0432 c. M: 0.0688 c. 1880: 543 376 390 571 SP SD: 0.0428 c. M: 0.0633 c. 2015: 582 403 418 612 SP SD: 0.0428 c. M: 0.0585 c. 2150: 621 430 446 653 SP SD: 0.0430 c. M:-0.0549 c. 2222: 642 444 461 675 SP SD: 0.0413 c. M:-0.0556 c. 2357: 681 471 489 716 SP SD: 0.0365 c. M:-0.0529 c.
FIT/HARMONIC
1 x x x 2 S SD: 0.0000 cents 2 x 3 x 4 S SD: 57.7026 cents 3 x 4:5:6 S SD: 33.6989 cents 5:6:7:8:10 S SD: 9.5332 cents 13:16:18:21:26 SD: 6.7473 cents 18:22:25:29:36 SD: 5.0940 cents 22:27:31:36:44 SD: 5.0363 cents 27:33:38:44:54 SD: 2.8026 cents 32:39:45:52:64 SD: 1.8749 cents 45:55:63:73:90 SD: 1.1495 cents 77:94:108:125:154 SD: 0.9103 cents 121:148:170:196:242 SD: 0.7404 cents 126:154:177:204:252 SD: 0.5968 cents 158:193:222:256:316 SD: 0.5566 cents 166:203:233:269:332 SD: 0.4405 cents 171:209:240:277:342 SD: 0.2282 cents 221:270:310:358:442 SD: 0.1984 cents 248:303:348:402:496 SD: 0.1850 cents 253:309:355:410:506 SD: 0.1469 cents 379:463:532:614:758 SD: 0.1465 cents 419:512:588:679:838 SD: 0.1154 cents 424:518:595:687:848 SD: 0.0103 cents