Scala analysis: xen18-darreg-djami-ushshak
Maqam Ushshak
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: 408.000 cents 408.000000 3: 498.000 cents 498.000000 4: 702.000 cents 702.000000 5: 906.000 cents 906.000000 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: 204.0000 cents 204.0000 3: 90.0000 cents 90.0000 4: 204.0000 cents 204.0000 5: 204.0000 cents 204.0000 6: 90.0000 cents 90.0000 7: 204.0000 cents 204.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 90.00000 cents 1: 5 204.00000 cents 2: 4 294.00000 cents 2: 3 408.00000 cents 3: 6 498.00000 cents 3: 1 612.00000 cents 4: 1 588.00000 cents 4: 6 702.00000 cents 5: 3 792.00000 cents 5: 4 906.00000 cents 6: 5 996.00000 cents 6: 2 1110.00000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 204.0 408.0 498.0 702.0 906.0 996.0 1200.0 204.0 : 204.0 294.0 498.0 702.0 792.0 996.0 1200.0 408.0 : 90.0 294.0 498.0 588.0 792.0 996.0 1200.0 498.0 : 204.0 408.0 498.0 702.0 906.0 1110.0 1200.0 702.0 : 204.0 294.0 498.0 702.0 906.0 996.0 1200.0 906.0 : 90.0 294.0 498.0 702.0 792.0 996.0 1200.0 996.0 : 204.0 408.0 612.0 702.0 906.0 1110.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 90.0000 .. 204.0000 cents 114.00000 cents 90.00000 cents 2: 294.0000 .. 408.0000 cents 114.00000 cents 90.00000 cents 3: 498.0000 .. 612.0000 cents 114.00000 cents 90.00000 cents 4: 588.0000 .. 702.0000 cents 114.00000 cents -24.00000 cents 5: 792.0000 .. 906.0000 cents 114.00000 cents 90.00000 cents 6: 996.0000 .. 1110.0000 cents 114.00000 cents 90.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 90.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 204.00000 cents Average / Smallest step : 1.904762 Largest / Average step : 1.190000 Largest / Smallest step : 2.266667 Median interval of one step : 204.00000 cents, amount: 5 Most common interval of one step : 204.00000 cents, amount: 5 Least squares average step : 173.05714 cents, oct.: 1211.40000 cents Scale is not proper Scale has Myhill's property chromas: 114.00000 cents and 24.00000 cents, ratio: 4.750000 generators: 3 of 498.00000 cents and 4 of 702.00000 cents ET pair of linear temperament : 12&41 Scale is distributional even Scale is a mode of a 200-tone equal temperament with octave 1200.000 cents degrees: 34 68 83 117 151 166 200 generators: 83 and 117 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAABA Step pattern size order : LLSLLSL Interval vector is [ 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 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 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 Ratio Whole / Half tone : 2.266667 Scale diversity : 1.288421 Lumma stability : 0.450000 Lumma impropriety factor : 0.020000 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 24.00000 cents Most common intervals : 498.00000 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 498.000 996.000 cents Most common triad is 0.0 498.000 702.000 cents, amount: 5 Number of recognisable fifths : 6, average 702.0000 cents Scale contains two identical conjunct tetrachords Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 5 = 71.4286% Limited inverse transpositions : 1 Inversional symmetry on degrees : 4 Inversional symmetry on intervals : 0-1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 36.4160 c. M: 65.1429 c. Lebeng 8: 1 2 0 2 1 1 1 P D3 S SD: 41.8159 c. M: 54.0000 c. 11: 2 2 1 1 2 1 2 N D3 SD: 31.2083 c. M:-47.4545 c. 12: 2 2 1 2 2 1 2 P M ME S SD: 4.4721 c. M: 8.0000 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 29: 5 5 2 5 5 2 5 N M DE S SD: 3.2384 c. M:-5.7931 c. 41: 7 7 3 7 7 3 7 N M DE S SD: 0.9817 c. M:-1.7561 c. 53: 9 9 4 9 9 4 9 N M DE S SD: 0.2531 c. M: 0.4528 c. 147: 25 25 11 25 25 11 25 N M DE S SD: 0.0913 c. M:-0.1633 c. 200: 34 34 15 34 34 15 34 N M DE S 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: 0.0225 cents 3 x x 4 x 5 x 6 S SD: 7.2138 cents 4 x 5 x 6 x 7:8 S SD: 8.6917 cents 5 x 6:7 x 8:9:10 S SD: 31.4074 cents 6:7 x 8:9:10:11:12 S SD: 14.2094 cents 7:8:9 x 11:12 x 14 SD: 18.6407 cents 8:9:10:11:12 x 14:16 S SD: 10.6086 cents 10:11 x 13:15:17:18:20 SD: 10.6251 cents 14:16:18:19:21:24:25:28 SD: 8.0945 cents 15:17:19:20:23:25:27:30 SD: 7.2021 cents 16:18:20:21:24:27:28:32 S SD: 6.3078 cents 18:20:23:24:27:30:32:36 SD: 4.9540 cents 22:25:28:29:33:37:39:44 SD: 4.1374 cents 26:29:33:35:39:44:46:52 SD: 3.5371 cents 30:34:38:40:45:51:53:60 SD: 2.9904 cents 38:43:48:51:57:64:68:76 SD: 2.8064 cents 41:46:52:55:62:69:73:82 SD: 2.7579 cents 42:47:53:56:63:71:75:84 SD: 1.9337 cents 48:54:61:64:72:81:85:96 SD: 1.3758 cents 64:72:81:85:96:108:114:128 SD: 1.0823 cents 72:81:91:96:108:122:128:144 SD: 1.0614 cents 86:97:109:115:129:145:153:172 SD: 1.0560 cents 90:101:114:120:135:152:160:180 SD: 0.6749 cents 144:162:182:192:216:243:256:288 SD: 0.3663 cents 192:216:243:256:288:324:341:384 SD: 0.2316 cents 320:360:405:427:480:540:569:640 SD: 0.2117 cents 342:385:433:456:513:577:608:684 SD: 0.1773 cents 384:432:486:512:576:648:683:768 SD: 0.1383 cents 432:486:547:576:648:729:768:864 SD: 0.0917 cents 576:648:729:768:864:972:1024:1152 SD: 0.0380 cents