Scala analysis: xen18-darreg-djami-rahawi
Maqam Rahawi
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 180.000 cents 180.000000 2: 384.000 cents 384.000000 3: 498.000 cents 498.000000 4: 678.000 cents 678.000000 5: 792.000 cents 792.000000 6: 996.000 cents 996.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 204.0000 cents 204.0000 1: 180.0000 cents 180.0000 2: 204.0000 cents 204.0000 3: 114.0000 cents 114.0000 4: 180.0000 cents 180.0000 5: 114.0000 cents 114.0000 6: 204.0000 cents 204.0000 7: 204.0000 cents 204.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 114.00000 cents 1: 2 180.00000 cents 1: 3 204.00000 cents 2: 2 294.00000 cents 2: 2 318.00000 cents 2: 2 384.00000 cents 2: 1 408.00000 cents 3: 1 408.00000 cents 3: 3 498.00000 cents 3: 1 522.00000 cents 3: 2 588.00000 cents 4: 2 612.00000 cents 4: 1 678.00000 cents 4: 3 702.00000 cents 4: 1 792.00000 cents 5: 1 792.00000 cents 5: 2 816.00000 cents 5: 2 882.00000 cents 5: 2 906.00000 cents 6: 3 996.00000 cents 6: 2 1020.00000 cents 6: 2 1086.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.66667 = 11/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 180.0 384.0 498.0 678.0 792.0 996.0 1200.0 180.0 : 204.0 318.0 498.0 612.0 816.0 1020.0 1200.0 384.0 : 114.0 294.0 408.0 612.0 816.0 996.0 1200.0 498.0 : 180.0 294.0 498.0 702.0 882.0 1086.0 1200.0 678.0 : 114.0 318.0 522.0 702.0 906.0 1020.0 1200.0 792.0 : 204.0 408.0 588.0 792.0 906.0 1086.0 1200.0 996.0 : 204.0 384.0 588.0 702.0 882.0 996.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 114.0000 .. 204.0000 cents 90.00000 cents 114.00000 cents 2: 294.0000 .. 408.0000 cents 114.00000 cents 90.00000 cents 3: 408.0000 .. 588.0000 cents 180.00000 cents 1/1, 0.0000 cents 4: 612.0000 .. 792.0000 cents 180.00000 cents 24.00000 cents 5: 792.0000 .. 906.0000 cents 114.00000 cents 1/1, 0.0000 cents 6: 996.0000 .. 1086.0000 cents 90.00000 cents 90.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 114.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 204.00000 cents Average / Smallest step : 1.503759 Largest / Average step : 1.190000 Largest / Smallest step : 1.789474 Median interval of one step : 180.00000 cents, amount: 2 Most common interval of one step : 204.00000 cents, amount: 3 Least squares average step : 167.78571 cents, oct.: 1174.50000 cents Scale is proper Scale is a mode of a 200-tone equal temperament with octave 1200.000 cents degrees: 30 64 83 113 132 166 200 Least number of segments generator : 101 of 606.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 117 of 702.000 cents and inv. generated superset size: 12 = 5 more = 171.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCACBB Step pattern size order : MLSMSLL Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 ] Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.426476 Rothenberg stability : 0.904762 = 19/21 Lumma stability : 0.360000 Rothenberg efficiency : 0.438095 redundancy: 0.561905 Efficiency x scale size : 3.066667 Number of different interval sizes : 20 = 3.33333 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.66667 = 11/3 Median interval variety : 3.5 Lowest interval variety : 3 Smallest interval difference : 24.00000 cents Number of recognisable fifths : 3, average 702.0000 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 32.5037 c. M:-65.1429 c. Lebeng 9: 1 2 1 1 1 1 2 N D3 S SD: 33.3847 c. M: 62.6667 c. 12: 2 2 1 2 1 2 2 P D3 I SD: 13.2234 c. M:-22.0000 c. Major-Minor, Melodic Major, Mischung 6, Mixolydian flat 6, Mela Carukesi, Raga Charukeshi, Tarangini, Heptatonia secunda 25: 4 4 2 4 2 5 4 N SD: 13.2234 c. M: 24.0000 c. 26: 4 4 3 4 2 5 4 P SD: 11.7618 c. M:-19.3846 c. 27: 4 5 2 4 3 4 5 N SD: 11.1384 c. M: 18.2222 c. 29: 4 5 3 4 3 5 5 P SD: 9.5755 c. M: 15.9310 c. 34: 5 6 3 5 3 6 6 N SD: 7.5768 c. M: 15.5294 c. 37: 6 6 3 6 3 7 6 N SD: 9.6806 c. M:-14.5946 c. 39: 6 6 4 6 4 6 7 SP SD: 8.1644 c. M: 14.7692 c. 40: 6 7 4 6 3 7 7 N SD: 8.4853 c. M:-12.0000 c. 41: 6 7 4 6 4 7 7 P SD: 2.9027 c. M: 4.8293 c. 53: 8 9 5 8 5 9 9 P SD: 0.7485 c. M:-1.2453 c. 147: 22 25 14 22 14 25 25 P SD: 0.2699 c. M: 0.4490 c. 200: 30 34 19 30 19 34 34 P SD: 0.0000 c. M:-0.0000 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: 11.9775 cents 3 x x 4 x 5 x 6 S SD: 30.7862 cents 4 x 5 x 6 x 7:8 S SD: 9.0748 cents 5 x 6:7 x 8:9:10 S SD: 22.5849 cents 6:7 x 8:9 x 11:12 SD: 20.9456 cents 7:8:9 x 10:11:12:14 S SD: 18.9541 cents 8:9:10:11:12:13:14:16 S SD: 12.0264 cents 9:10:11:12:13:14:16:18 S SD: 8.7957 cents 12:13:15:16:18:19:21:24 SD: 7.8850 cents 16:18:20:21:24:25:28:32 SD: 7.8318 cents 17:19:21:23:25:27:30:34 SD: 5.4885 cents 19:21:24:25:28:30:34:38 SD: 4.8742 cents 21:23:26:28:31:33:37:42 SD: 4.6344 cents 27:30:34:36:40:43:48:54 SD: 2.9482 cents 36:40:45:48:53:57:64:72 SD: 1.3884 cents 72:80:90:96:107:114:128:144 SD: 1.3204 cents 73:81:91:97:108:115:130:146 SD: 1.2540 cents 81:90:101:108:120:128:144:162 SD: 0.5657 cents 117:130:146:156:173:185:208:234 SD: 0.4160 cents 165:183:206:220:244:261:293:330 SD: 0.4100 cents 198:220:247:264:293:313:352:396 SD: 0.4056 cents 210:233:262:280:311:332:373:420 SD: 0.3876 cents 229:254:286:305:339:362:407:458 SD: 0.3626 cents 238:264:297:317:352:376:423:476 SD: 0.2924 cents 246:273:307:328:364:389:437:492 SD: 0.2765 cents 319:354:398:425:472:504:567:638 SD: 0.2405 cents 338:375:422:451:500:534:601:676 SD: 0.2060 cents 411:456:513:548:608:649:731:822 SD: 0.2052 cents 419:465:523:559:620:662:745:838 SD: 0.1801 cents 438:486:547:584:648:692:779:876 SD: 0.1611 cents 495:549:618:660:732:782:880:990 SD: 0.1567 cents 519:576:648:692:768:820:923:1038 SD: 0.1420 cents 540:599:674:720:799:853:960:1080 SD: 0.1139 cents 567:629:708:756:839:896:1008:1134 SD: 0.1053 cents 576:639:719:768:852:910:1024:1152 SD: 0.0695 cents