Scala analysis: xen18-darreg-djami-busalik
Maqam Busalik
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 90.000 cents 90.000000 2: 294.000 cents 294.000000 3: 498.000 cents 498.000000 4: 588.000 cents 588.000000 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: 90.0000 cents 90.0000 2: 204.0000 cents 204.0000 3: 204.0000 cents 204.0000 4: 90.0000 cents 90.0000 5: 204.0000 cents 204.0000 6: 204.0000 cents 204.0000 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 : 90.0 294.0 498.0 588.0 792.0 996.0 1200.0 90.0 : 204.0 408.0 498.0 702.0 906.0 1110.0 1200.0 294.0 : 204.0 294.0 498.0 702.0 906.0 996.0 1200.0 498.0 : 90.0 294.0 498.0 702.0 792.0 996.0 1200.0 588.0 : 204.0 408.0 612.0 702.0 906.0 1110.0 1200.0 792.0 : 204.0 408.0 498.0 702.0 906.0 996.0 1200.0 996.0 : 204.0 294.0 498.0 702.0 792.0 996.0 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 : 163.28571 cents, oct.: 1143.00000 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 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: 15 49 83 98 132 166 200 generators: 83 and 117 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABBABBB Step pattern size order : SLLSLLL 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 : 1 = 14.2857% Limited inverse transpositions : 4 Inversional symmetry on degrees : 2 Inversional symmetry on intervals : 5-6 -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 109.0248 c. M: 155.1429 c. 8: 1 1 1 1 1 2 1 P M ME S SD: 39.2137 c. M:-60.0000 c. 9: 1 1 2 0 2 1 2 N D3 SD: 39.3753 c. M: 62.6667 c. 10: 1 1 2 1 2 1 2 P M ME S SD: 33.5602 c. M: 54.0000 c. 12: 1 2 2 1 2 2 2 P M ME S SD: 7.2111 c. M:-12.0000 c. G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish 29: 2 5 5 2 5 5 5 N M DE S SD: 5.2218 c. M: 8.6897 c. 41: 3 7 7 3 7 7 7 N M DE S SD: 1.5829 c. M: 2.6341 c. 53: 4 9 9 4 9 9 9 N M DE S SD: 0.4082 c. M:-0.6792 c. 147: 11 25 25 11 25 25 25 N M DE S SD: 0.1472 c. M: 0.2449 c. 200: 15 34 34 15 34 34 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 x 3 x 4 S SD: 45.0225 cents 3 x x 4 x 5 x 6 S SD: 30.7862 cents 4 x 5 x x 6:7:8 S SD: 32.9473 cents 5 x 6 x 7:8:9:10 S SD: 7.5767 cents 6 x 7:8 x 9:11:12 SD: 21.6256 cents 7 x 8:9:10:11:12:14 S SD: 18.8696 cents 8 x 9 x 11:13:14:16 SD: 22.4099 cents 9:10:11:12:13:14:16:18 S SD: 17.1952 cents 10:11:12:13:14:16:18:20 S SD: 13.5361 cents 11:12:13:15 x 17:20:22 SD: 15.1009 cents 12:13:14:16:17:19:21:24 SD: 9.1154 cents 15:16:18:20:21:24:27:30 S SD: 6.2391 cents 17:18:20:23:24:27:30:34 SD: 4.9536 cents 22:23:26:29:31:35:39:44 SD: 3.9862 cents 32:34:38:43:45:51:57:64 SD: 3.6646 cents 33:35:39:44:46:52:59:66 SD: 3.0413 cents 36:38:43:48:51:57:64:72 SD: 2.9824 cents 37:39:44:49:52:58:66:74 SD: 2.8563 cents 39:41:46:52:55:62:69:78 SD: 2.5139 cents 42:44:50:56:59:66:75:84 SD: 2.4848 cents 50:53:59:67:70:79:89:100 SD: 2.4093 cents 53:56:63:71:74:84:94:106 SD: 2.3467 cents 54:57:64:72:76:85:96:108 SD: 1.1937 cents 76:80:90:101:107:120:135:152 SD: 1.0738 cents 81:85:96:108:114:128:144:162 SD: 1.0717 cents 91:96:108:121:128:144:162:182 SD: 1.0590 cents 93:98:110:124:131:147:165:186 SD: 1.0089 cents 96:101:114:128:135:152:171:192 SD: 0.9730 cents 108:114:128:144:152:171:192:216 SD: 0.8919 cents 112:118:133:149:157:177:199:224 SD: 0.8888 cents 114:120:135:152:160:180:203:228 SD: 0.5458 cents 168:177:199:224:236:265:299:336 SD: 0.5312 cents 171:180:203:228:240:270:304:342 SD: 0.5192 cents 183:193:217:244:257:289:325:366 SD: 0.4333 cents 207:218:245:276:291:327:368:414 SD: 0.4043 cents 210:221:249:280:295:332:373:420 SD: 0.3671 cents 243:256:288:324:341:384:432:486 SD: 0.2086 cents 297:313:352:396:417:469:528:594 SD: 0.2063 cents 319:336:378:425:448:504:567:638 SD: 0.1953 cents 336:354:398:448:472:531:597:672 SD: 0.1929 cents 378:398:448:504:531:597:672:756 SD: 0.1659 cents 450:474:533:600:632:711:800:900 SD: 0.1369 cents 507:534:601:676:712:801:901:1014 SD: 0.1114 cents