Scala analysis: xen18-darreg-djami-iraq-2
Maqam Iraq, with bakiye
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: 882.000 cents 882.000000 6: 996.000 cents 996.000000 7: 1176.000 cents 1176.000000 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 24.0000 cents 24.0000 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: 204.0000 cents 204.0000 6: 114.0000 cents 114.0000 7: 180.0000 cents 180.0000 8: 24.0000 cents 24.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 24.00000 cents 1: 2 114.00000 cents 1: 3 180.00000 cents 1: 2 204.00000 cents 2: 2 204.00000 cents 2: 2 294.00000 cents 2: 2 318.00000 cents 2: 2 384.00000 cents 3: 1 318.00000 cents 3: 1 384.00000 cents 3: 1 408.00000 cents 3: 5 498.00000 cents 4: 1 498.00000 cents 4: 2 522.00000 cents 4: 1 588.00000 cents 4: 1 612.00000 cents 4: 2 678.00000 cents 4: 1 702.00000 cents 5: 5 702.00000 cents 5: 1 792.00000 cents 5: 1 816.00000 cents 5: 1 882.00000 cents 6: 2 816.00000 cents 6: 2 882.00000 cents 6: 2 906.00000 cents 6: 2 996.00000 cents 7: 2 996.00000 cents 7: 3 1020.00000 cents 7: 2 1086.00000 cents 7: 1 1176.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 4.28571 = 30/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 180.0 384.0 498.0 678.0 882.0 996.0 1176.0 1200.0 180.0 : 204.0 318.0 498.0 702.0 816.0 996.0 1020.0 1200.0 384.0 : 114.0 294.0 498.0 612.0 792.0 816.0 996.0 1200.0 498.0 : 180.0 384.0 498.0 678.0 702.0 882.0 1086.0 1200.0 678.0 : 204.0 318.0 498.0 522.0 702.0 906.0 1020.0 1200.0 882.0 : 114.0 294.0 318.0 498.0 702.0 816.0 996.0 1200.0 996.0 : 180.0 204.0 384.0 588.0 702.0 882.0 1086.0 1200.0 1176.0: 24.0 204.0 408.0 522.0 702.0 906.0 1020.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 24.0000 .. 204.0000 cents 180.00000 cents 24.00000 cents 2: 204.0000 .. 384.0000 cents 180.00000 cents 1/1, 0.0000 cents 3: 318.0000 .. 498.0000 cents 180.00000 cents -66.00000 cents 4: 498.0000 .. 702.0000 cents 204.00000 cents 1/1, 0.0000 cents 5: 702.0000 .. 882.0000 cents 180.00000 cents 1/1, 0.0000 cents 6: 816.0000 .. 996.0000 cents 180.00000 cents -66.00000 cents 7: 996.0000 .. 1176.0000 cents 180.00000 cents 1/1, 0.0000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 24.00000 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 204.00000 cents Average / Smallest step : 6.250000 Largest / Average step : 1.360000 Largest / Smallest step : 8.500000 Median interval of one step : 180.00000 cents, amount: 3 Most common interval of one step : 180.00000 cents, amount: 3 Least squares average step : 163.58824 cents, oct.: 1308.70588 cents Scale is not proper Scale is a mode of a 200-tone equal temperament with octave 1200.000 cents degrees: 30 64 83 113 147 166 196 200 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: 13 = 5 more = 162.500% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCABCAD Step pattern size order : CDBCDBCA Interval vector is [ 0 0 0 1 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 3 0 0 0 4 0 0 0 0 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 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 2 0 0 0 0 0 0 0 0 0 0 1 0 0 ] Scale is not a Constant Structure Scale diversity : 1.383574 Lumma stability : 0.040000 Lumma impropriety factor : 0.110000 Rothenberg efficiency : 0.531696 redundancy: 0.468304 Efficiency x scale size : 4.253571 Number of different interval sizes : 22 = 3.14286 / class Number of one step interval sizes : 4 Highest interval variety : 6 Mean interval variety : 4.28571 = 30/7 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 24.00000 cents Most common intervals : 498.00000 cents & inv., amount: 6 Most common triad is 0.0 498.000 702.000 cents, amount: 4 Number of recognisable fifths : 6, average 702.0000 cents Scale contains two identical conjunct tetrachords Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 85.7759 c. M: 132.0000 c. 9: 1 2 1 1 2 0 2 0 N SD: 36.9947 c. M: 62.6667 c. 12: 2 2 1 2 2 1 2 0 N T3 SD: 16.0468 c. M:-24.0000 c. 19: 3 3 2 3 3 2 3 0 N SD: 12.4502 c. M:-24.0000 c. 26: 4 4 3 4 4 3 3 1 N SD: 13.3717 c. M: 22.1538 c. 28: 4 5 3 4 5 2 4 1 N SD: 12.1785 c. M: 18.8571 c. 29: 4 5 3 4 5 3 4 1 N SD: 11.6201 c. M: 17.3793 c. 34: 5 6 3 5 6 3 5 1 N SD: 6.0039 c. M: 11.2941 c. 41: 6 7 4 6 7 4 6 1 N SD: 3.5225 c. M: 5.2683 c. 53: 8 9 5 8 9 5 8 1 N SD: 0.9083 c. M:-1.3585 c. 147: 22 25 14 22 25 14 22 3 N SD: 0.3275 c. M: 0.4898 c. 200: 30 34 19 30 34 19 30 4 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 11.9775 cents 3 x x 4 x 5 x x 6 S SD: 0.7864 cents 4 x 5 x 6 x 7 x 8 S SD: 9.0748 cents 5 x 6:7 x 8:9 x 10 S SD: 26.0372 cents 6:7 x 8:9:10:11 x 12 S SD: 17.4591 cents 7:8:9 x 10:12 x x 14 S SD: 21.4516 cents 8:9:10:11:12:13:14 x 16 S SD: 11.4750 cents 9:10:11:12:13:15:16 x 18 SD: 7.9061 cents 10:11:12:13:15:17:18 x 20 SD: 13.7008 cents 11:12:14:15:16:18:20 x 22 S SD: 11.7344 cents 12:13:15:16:18:20:21 x 24 SD: 7.8758 cents 13:14:16:17:19:22:23 x 26 SD: 10.8236 cents 14:16:17:19:21:23:25 x 28 SD: 11.9483 cents 15:17:19:20:22:25:27 x 30 SD: 7.3937 cents 16:18:20:21:24:27:28 x 32 S SD: 8.0809 cents 17:19:21:23:25:28:30 x 34 SD: 5.9339 cents 18:20:22:24:27:30:32 x 36 S SD: 6.2665 cents 19:21:24:25:28:32:34:37:38 SD: 5.6923 cents 21:23:26:28:31:35:37:41:42 SD: 4.4748 cents 27:30:34:36:40:45:48:53:54 SD: 2.2184 cents 36:40:45:48:53:60:64:71:72 SD: 1.1686 cents 72:80:90:96:107:120:128:142:144 SD: 1.1066 cents 81:90:101:108:120:135:144:160:162 SD: 0.6547 cents 108:120:135:144:160:180:192:213:216 SD: 0.5962 cents 117:130:146:156:173:195:208:231:234 SD: 0.4891 cents 173:192:216:231:256:288:308:341:346 SD: 0.4875 cents 181:201:226:241:268:301:322:357:362 SD: 0.4646 cents 190:211:237:253:281:316:338:375:380 SD: 0.4607 cents 202:224:252:269:299:336:359:398:404 SD: 0.4435 cents 217:241:271:289:321:361:386:428:434 SD: 0.3710 cents 221:245:276:295:327:368:393:436:442 SD: 0.3542 cents 229:254:286:305:339:381:407:452:458 SD: 0.3461 cents 238:264:297:317:352:396:423:469:476 SD: 0.3339 cents 246:273:307:328:364:409:437:485:492 SD: 0.3091 cents 265:294:331:353:392:441:471:523:530 SD: 0.2722 cents 282:313:352:376:417:469:501:556:564 SD: 0.2613 cents 294:326:367:392:435:489:523:580:588 SD: 0.2573 cents 319:354:398:425:472:531:567:629:638 SD: 0.2235 cents 330:366:412:440:488:549:587:651:660 SD: 0.2140 cents 355:394:443:473:525:591:631:700:710 SD: 0.2109 cents 363:403:453:484:537:604:645:716:726 SD: 0.1835 cents 402:446:502:536:595:669:715:793:804 SD: 0.1749 cents 411:456:513:548:608:684:731:811:822 SD: 0.1442 cents 438:486:547:584:648:729:779:864:876 SD: 0.1397 cents 540:599:674:720:799:899:960:1065:1080 SD: 0.0986 cents 576:639:719:768:852:959:1024:1136:1152 SD: 0.0910 cents