Scala analysis: xen18-darreg-djami-zangule
Maqam Zangule
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 204.000 cents 204.000000 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: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 204.0000 cents 204.0000 1: 204.0000 cents 204.0000 2: 180.0000 cents 180.0000 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: 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: 1 474.00000 cents 3: 3 498.00000 cents 3: 2 522.00000 cents 3: 1 588.00000 cents 4: 1 612.00000 cents 4: 2 678.00000 cents 4: 3 702.00000 cents 4: 1 726.00000 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 : 204.0 384.0 498.0 678.0 882.0 996.0 1200.0 204.0 : 180.0 294.0 474.0 678.0 792.0 996.0 1200.0 384.0 : 114.0 294.0 498.0 612.0 816.0 1020.0 1200.0 498.0 : 180.0 384.0 498.0 702.0 906.0 1086.0 1200.0 678.0 : 204.0 318.0 522.0 726.0 906.0 1020.0 1200.0 882.0 : 114.0 318.0 522.0 702.0 816.0 996.0 1200.0 996.0 : 204.0 408.0 588.0 702.0 882.0 1086.0 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: 474.0000 .. 588.0000 cents 114.00000 cents 66.00000 cents 4: 612.0000 .. 726.0000 cents 114.00000 cents 24.00000 cents 5: 792.0000 .. 906.0000 cents 114.00000 cents 66.00000 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 : 171.17143 cents, oct.: 1198.20000 cents Scale is strictly proper Scale is a mode of a 200-tone equal temperament with octave 1200.000 cents degrees: 34 64 83 113 147 166 200 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: 14 = 7 more = 200.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBACA Step pattern size order : LMSMLSL 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 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 3 0 0 0 2 0 0 0 0 0 0 0 0 0 0 1 0 0 ] Scale is a Constant Structure, by a margin of 24.00000 cents Scale diversity : 1.464116 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.470000 Rothenberg efficiency : 0.424490 redundancy: 0.575510 Efficiency x scale size : 2.971429 Number of different interval sizes : 22 = 3.66667 / 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 : 3 = 42.8571% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 26.0690 c. M: 41.1429 c. Lebeng 12: 2 2 1 2 2 1 2 P M ME S SD: 12.5357 c. M:-22.0000 c. G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Hypermixolydian, Mischung 3, Khamaj That, Mela Harikambhoji, Raga Balahamsa, Bhim, Devamanohari, Harini, Janjhuti, Kaamaai, Khambhavati, Surati, Gregorian nr.7, Enharmonic Byzantine Liturgical, Rast descending: Greece, Ching, Shang: China 19: 3 3 2 3 3 2 3 SP M ME S SD: 10.5919 c. M:-16.7368 c. Nineteen-tone Mixolydian 28: 5 4 3 4 5 2 5 P SD: 11.1051 c. M:-18.0000 c. 29: 5 4 3 4 5 3 5 SP SD: 9.0775 c. M: 15.9310 c. 34: 6 5 3 5 6 3 6 P SD: 5.4596 c. M: 7.7647 c. 41: 7 6 4 6 7 4 7 SP SD: 2.7517 c. M: 4.8293 c. 53: 9 8 5 8 9 5 9 SP SD: 0.7096 c. M:-1.2453 c. 147: 25 22 14 22 25 14 25 SP SD: 0.2558 c. M: 0.4490 c. 200: 34 30 19 30 34 19 34 SP 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: 0.7864 cents 4 x 5 x 6 x 7:8 S SD: 9.0748 cents 5 x 6:7 x 8:9:10 S SD: 26.0372 cents 6:7 x 8:9:10:11:12 S SD: 14.3176 cents 7:8:9 x 10:12 x 14 S SD: 19.6203 cents 8:9:10:11:12:13:14:16 S SD: 10.9548 cents 9:10:11:12:13:15:16:18 SD: 8.4798 cents 15:17:19:20:22:25:27:30 SD: 5.5212 cents 21:24:26:28:31:35:37:42 SD: 4.9476 cents 23:26:29:31:34:38:41:46 SD: 4.3024 cents 24:27:30:32:36:40:43:48 SD: 3.9608 cents 27:30:34:36:40:45:48:54 SD: 3.7950 cents 31:35:39:41:46:52:55:62 SD: 3.5982 cents 32:36:40:43:47:53:57:64 SD: 2.9567 cents 33:37:41:44:49:55:59:66 SD: 2.2443 cents 48:54:60:64:71:80:85:96 SD: 1.0661 cents 81:91:101:108:120:135:144:162 SD: 0.6627 cents 129:145:161:172:191:215:229:258 SD: 0.5747 cents 144:162:180:192:213:240:256:288 SD: 0.4738 cents 198:223:247:264:293:330:352:396 SD: 0.4661 cents 217:244:271:289:321:361:386:434 SD: 0.3826 cents 225:253:281:300:333:374:400:450 SD: 0.3818 cents 238:268:297:317:352:396:423:476 SD: 0.3639 cents 265:298:331:353:392:441:471:530 SD: 0.2996 cents 294:331:367:392:435:489:523:588 SD: 0.2982 cents 306:344:382:408:453:509:544:612 SD: 0.2959 cents 319:359:398:425:472:531:567:638 SD: 0.2496 cents 342:385:427:456:506:569:608:684 SD: 0.1838 cents 399:449:498:532:590:664:709:798 SD: 0.1737 cents 423:476:528:564:626:704:752:846 SD: 0.1050 cents 576:648:719:768:852:959:1024:1152 SD: 0.0905 cents