Scala analysis: xen18-darreg-djami-husayni
Maqam Husayni
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: 294.000 cents 294.000000 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: 114.0000 cents 114.0000 3: 204.0000 cents 204.0000 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: 5 498.00000 cents 3: 1 522.00000 cents 3: 1 588.00000 cents 4: 1 612.00000 cents 4: 1 678.00000 cents 4: 5 702.00000 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: 3.33333 = 10/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 180.0 294.0 498.0 678.0 792.0 996.0 1200.0 180.0 : 114.0 318.0 498.0 612.0 816.0 1020.0 1200.0 294.0 : 204.0 384.0 498.0 702.0 906.0 1086.0 1200.0 498.0 : 180.0 294.0 498.0 702.0 882.0 996.0 1200.0 678.0 : 114.0 318.0 522.0 702.0 816.0 1020.0 1200.0 792.0 : 204.0 408.0 588.0 702.0 906.0 1086.0 1200.0 996.0 : 204.0 384.0 498.0 702.0 882.0 996.0 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: 498.0000 .. 588.0000 cents 90.00000 cents 90.00000 cents 4: 612.0000 .. 702.0000 cents 90.00000 cents 24.00000 cents 5: 792.0000 .. 906.0000 cents 114.00000 cents 90.00000 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 : 166.50000 cents, oct.: 1165.50000 cents Scale is strictly proper Scale is a mode of a 200-tone equal temperament with octave 1200.000 cents degrees: 30 49 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: ABCABCC Step pattern size order : MSLMSLL 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 0 0 0 0 5 0 0 0 1 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 : 1.426476 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.510000 Rothenberg efficiency : 0.540136 redundancy: 0.459864 Efficiency x scale size : 3.780952 Number of different interval sizes : 20 = 3.33333 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.33333 = 10/3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 24.00000 cents Most common intervals : 498.00000 cents & inv., amount: 5 Most common triad is 0.0 498.000 702.000 cents, amount: 3 Number of recognisable fifths : 5, average 702.0000 cents Scale contains two identical conjunct tetrachords Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 114.0000 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 33.9952 c. M:-65.1429 c. Lebeng 9: 1 1 2 1 1 1 2 P M ME S SD: 34.4194 c. M: 62.6667 c. Pseudo Pelog, Pelogic-7, Antiionian 12: 2 1 2 2 1 2 2 P M ME S SD: 11.9762 c. M:-22.0000 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 26: 4 2 5 4 2 5 4 P SD: 12.1999 c. M:-19.3846 c. 28: 4 3 5 4 2 5 5 P SD: 11.7302 c. M: 20.5714 c. 29: 4 3 5 4 3 5 5 SP SD: 8.6724 c. M: 15.9310 c. 32: 5 3 5 5 3 6 5 P SD: 8.4853 c. M:-16.5000 c. 33: 5 3 6 5 3 5 6 SP T3 SD: 9.0050 c. M: 14.1818 c. 34: 5 3 6 5 3 6 6 P SD: 8.6154 c. M: 15.5294 c. 36: 5 4 6 5 4 6 6 SP SD: 7.8031 c. M: 13.3333 c. 40: 6 4 7 6 3 7 7 P SD: 8.4853 c. M:-12.0000 c. 41: 6 4 7 6 4 7 7 SP SD: 2.6289 c. M: 4.8293 c. 53: 8 5 9 8 5 9 9 SP SD: 0.6779 c. M:-1.2453 c. Makam Huseyniasiran 147: 22 14 25 22 14 25 25 SP SD: 0.2444 c. M: 0.4490 c. 200: 30 19 34 30 19 34 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: 30.7862 cents 4 x 5 x 6 x 7:8 S SD: 24.7918 cents 5 x 6:7 x 8:9:10 S SD: 18.4904 cents 6 x 7:8:9 x 11:12 SD: 12.8956 cents 7:8 x 9:10:11:12:14 S SD: 19.9179 cents 8:9 x 11:12:13:14:16 SD: 14.0255 cents 9:10:11:12:13:14:16:18 S SD: 10.4043 cents 10:11:12:13:15:16:18:20 SD: 9.1707 cents 12:13:14:16:18:19:21:24 SD: 8.7798 cents 15:17:18:20:22:24:27:30 SD: 7.7913 cents 17:19:20:23:25:27:30:34 SD: 5.1618 cents 21:23:25:28:31:33:37:42 SD: 4.3114 cents 27:30:32:36:40:43:48:54 SD: 2.0112 cents 48:53:57:64:71:76:85:96 SD: 1.6974 cents 54:60:64:72:80:85:96:108 SD: 1.0624 cents 81:90:96:108:120:128:144:162 S SD: 0.4915 cents 183:203:217:244:271:289:325:366 SD: 0.4031 cents 210:233:249:280:311:332:373:420 SD: 0.3836 cents 238:264:282:317:352:376:423:476 SD: 0.2833 cents 309:343:366:412:457:488:549:618 SD: 0.2591 cents 319:354:378:425:472:504:567:638 SD: 0.2011 cents 357:396:423:476:528:564:635:714 SD: 0.1836 cents 384:426:455:512:568:607:683:768 SD: 0.1818 cents 438:486:519:584:648:692:779:876 SD: 0.1271 cents 486:539:576:648:719:768:864:972 SD: 0.1205 cents 540:599:640:720:799:853:960:1080 SD: 0.1097 cents 567:629:672:756:839:896:1008:1134 SD: 0.0821 cents