Scala analysis: CD12_20_Iraq
(Suite) Le Luth est mon âme, ô chamelier - Ensemble de Muhammad Al-Qubbbânjî (unknown maqam, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 230.919 cents 230.918587 2: 290.477 cents 290.476705 3: 505.023 cents 505.023197 4: 701.213 cents 701.213116 5: 827.893 cents 827.892725 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 372.1073 cents 372.1073 1: 230.9186 cents 230.9186 2: 59.5581 cents 59.5581 3: 214.5465 cents 214.5465 4: 196.1899 cents 196.1899 5: 126.6796 cents 126.6796 6: 372.1073 cents 372.1073
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 59.55812 cents 1: 1 126.67961 cents 1: 1 196.18992 cents 1: 1 214.54649 cents 1: 1 230.91859 cents 1: 1 372.10727 cents 2: 1 274.10461 cents 2: 1 290.47670 cents 2: 1 322.86953 cents 2: 1 410.73641 cents 2: 1 498.78688 cents 2: 1 603.02586 cents 3: 1 470.29453 cents 3: 1 505.02320 cents 3: 1 537.41602 cents 3: 1 662.58398 cents 3: 1 694.97680 cents 3: 1 729.70547 cents 4: 1 596.97414 cents 4: 1 701.21312 cents 4: 1 789.26359 cents 4: 1 877.13047 cents 4: 1 909.52330 cents 4: 1 925.89539 cents 5: 1 827.89273 cents 5: 1 969.08141 cents 5: 1 985.45351 cents 5: 1 1003.81008 cents 5: 1 1073.32039 cents 5: 1 1140.44188 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 230.9 290.5 505.0 701.2 827.9 1200.0 230.9 : 59.6 274.1 470.3 597.0 969.1 1200.0 290.5 : 214.5 410.7 537.4 909.5 1140.4 1200.0 505.0 : 196.2 322.9 695.0 925.9 985.5 1200.0 701.2 : 126.7 498.8 729.7 789.3 1003.8 1200.0 827.9 : 372.1 603.0 662.6 877.1 1073.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 59.5581 .. 372.1073 cents 312.54916 cents 59.55812 cents 2: 274.1046 .. 603.0259 cents 328.92125 cents -98.00266 cents 3: 470.2945 .. 729.7055 cents 259.41094 cents -132.73133 cents 4: 596.9741 .. 925.8954 cents 328.92125 cents -132.73133 cents 5: 827.8927 .. 1140.4419 cents 312.54916 cents -98.00267 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 59.55812 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 372.10727 cents Average / Smallest step : 3.358064 Largest / Average step : 1.860536 Largest / Smallest step : 6.247801 Median interval of one step : 205.36821 cents, amount: 0 Least squares average step : 181.00283 cents, oct.: 1086.01699 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : EADCBF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.05172 cents Scale diversity : 1.781183 Lumma stability : 0.099264 Lumma impropriety factor : 0.379514 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 6.05172 cents Number of recognisable fifths : 2, average 698.0950 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 1 1 2 N T3 SD: 72.1040 c. M: 105.0232 c. 7: 1 1 1 1 1 2 P M ME SD: 35.2712 c. M: 59.4900 c. 9: 2 0 2 1 1 3 N G SD: 27.7422 c. M:-35.7481 c. 10: 2 0 2 2 1 3 N SD: 25.0202 c. M: 50.4767 c. 12: 2 1 2 2 1 4 N SD: 17.5659 c. M: 30.9186 c. Raga Adi Bhairavi 15: 3 1 2 3 1 5 N SD: 21.2572 c. M:-29.5233 c. 16: 3 1 3 2 2 5 N SD: 14.2612 c. M: 26.2131 c. 17: 3 1 3 3 2 5 N SD: 12.5229 c. M:-19.1661 c. 21: 4 1 4 3 2 7 N SD: 13.7368 c. M: 27.8927 c. 22: 4 1 4 4 2 7 N SD: 11.7816 c. M: 17.7494 c. 26: 5 1 5 4 3 8 N SD: 6.8121 c. M: 13.5536 c. 33: 6 2 6 5 4 10 N SD: 7.7124 c. M: 12.7368 c. 36: 7 2 6 6 4 11 N SD: 5.0469 c. M:-9.5233 c. 41: 8 2 7 7 4 13 N SD: 4.8769 c. M: 8.3805 c. 57: 11 3 10 9 6 18 N SD: 4.2303 c. M: 6.8401 c. 58: 11 3 10 10 6 18 N SD: 3.8435 c. M: 8.4715 c. 62: 12 3 11 10 7 19 N SD: 2.7021 c. M: 4.4389 c. 67: 13 3 12 11 7 21 N SD: 3.0233 c. M: 4.0121 c. 74: 14 4 13 12 8 23 N SD: 2.5369 c. M: 3.9158 c. 99: 19 5 18 16 10 31 N SD: 2.3713 c. M:-4.0677 c. 100: 19 5 18 16 11 31 N SD: 2.6736 c. M: 5.2131 c. 103: 20 5 18 17 11 32 N SD: 2.1088 c. M: 4.0523 c. 104: 20 5 19 17 11 32 N SD: 2.0982 c. M:-2.8765 c. 116: 22 6 21 19 12 36 N SD: 1.8430 c. M: 3.3324 c. 123: 24 6 22 20 13 38 N SD: 1.9976 c. M:-3.2278 c. 135: 26 7 24 22 14 42 N SD: 1.4955 c. M:-2.8566 c. 145: 28 7 26 24 15 45 N SD: 1.0370 c. M:-2.2352 c. 152: 29 8 27 25 16 47 N SD: 1.2728 c. M: 1.9712 c. 161: 31 8 29 26 17 50 N SD: 0.8167 c. M:-1.8091 c. 178: 34 9 32 29 19 55 N SD: 0.9452 c. M: 1.7051 c. 181: 35 9 32 30 19 56 N SD: 1.0978 c. M:-1.5493 c. 197: 38 10 35 32 21 61 N SD: 0.9172 c. M:-1.9091 c. 207: 40 10 37 34 22 64 N SD: 0.7100 c. M:-1.0928 c. 219: 42 11 39 36 23 68 N SD: 0.5354 c. M: 0.9136 c. 306: 59 15 55 50 32 95 N SD: 0.5442 c. M:-0.8592 c. 342: 66 17 61 56 36 106 N SD: 0.4800 c. M:-0.7514 c. 368: 71 18 66 60 39 114 N SD: 0.3540 c. M:-0.6032 c. 380: 73 19 68 62 40 118 N SD: 0.2929 c. M: 0.5243 c. 520: 100 26 93 85 55 161 N SD: 0.3336 c. M:-0.5688 c. 525: 101 26 94 86 55 163 N SD: 0.2947 c. M:-0.5012 c. 561: 108 28 100 92 59 174 N SD: 0.2585 c. M:-0.4324 c. 587: 113 29 105 96 62 182 N SD: 0.0930 c. M: 0.1871 c. 967: 186 48 173 158 102 300 N SD: 0.0988 c. M: 0.1781 c. 1309: 252 65 234 214 138 406 N SD: 0.0906 c. M:-0.1268 c. 1528: 294 76 273 250 161 474 N SD: 0.0847 c. M: 0.1440 c. 1554: 299 77 278 254 164 482 N SD: 0.0700 c. M: 0.1292 c. 1590: 306 79 284 260 168 493 N SD: 0.0707 c. M: 0.1175 c. 1896: 365 94 339 310 200 588 N SD: 0.0518 c. M:-0.0941 c. 2074: 399 103 371 339 219 643 N SD: 0.0560 c. M:-0.0877 c. 2115: 407 105 378 346 223 656 N SD: 0.0520 c. M: 0.0913 c. 2338: 450 116 418 382 247 725 N SD: 0.0481 c. M: 0.1011 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 0.3709 cents 3 x x 4 x 5:6 S SD: 18.9652 cents 4 x 5 x 6 x 8 S SD: 31.9466 cents 5 x 6:7 x 8:10 S SD: 20.6755 cents 6 x 7:8:9:10:12 S SD: 12.3205 cents 7:8 x 9 x 11:14 SD: 20.8458 cents 8:9 x 11:12:13:16 SD: 11.0143 cents 9:10:11:12 x 15:18 S SD: 18.7957 cents 10:11:12:13:15:16:20 SD: 14.6836 cents 11 x 13:15:17:18:22 SD: 13.2353 cents 12 x 14:16:18:19:24 SD: 8.1290 cents 13:15 x 17:19:21:26 SD: 12.4782 cents 14:16:17:19:21:23:28 SD: 10.0561 cents 15:17:18:20:22:24:30 SD: 8.4044 cents 16:18:19:21:24:26:32 SD: 7.6589 cents 18 x 21:24:27:29:36 SD: 4.9454 cents 19:22 x 25:28:31:38 SD: 10.3878 cents 20:23:24:27:30:32:40 SD: 5.6975 cents 21:24:25:28:31:34:42 SD: 5.1214 cents 26:30:31:35:39:42:52 SD: 4.0067 cents 33:38:39:44:49:53:66 SD: 3.9786 cents 34:39:40:46:51:55:68 SD: 3.6704 cents 36:41:43:48:54:58:72 SD: 3.2529 cents 42:48:50:56:63:68:84 SD: 2.4611 cents 44:50:52:59:66:71:88 SD: 1.6893 cents 50:57:59:67:75:81:100 SD: 1.5695 cents 56:64:66:75:84:90:112 SD: 1.4879 cents 62:71:73:83:93:100:124 SD: 1.4365 cents 70:80:83:94:105:113:140 SD: 1.1809 cents 92:105:109:123:138:148:184 SD: 1.0909 cents 98:112:116:131:147:158:196 SD: 0.5354 cents 142:162:168:190:213:229:284 SD: 0.5225 cents 148:169:175:198:222:239:296 SD: 0.4312 cents 204:233:241:273:306:329:408 SD: 0.3908 cents 224:256:265:300:336:361:448 SD: 0.3450 cents 230:263:272:308:345:371:460 SD: 0.2527 cents 274:313:324:367:411:442:548 SD: 0.2198 cents 372:425:440:498:558:600:744 SD: 0.1467 cents 455:520:538:609:682:734:910 SD: 0.1296 cents 525:600:621:703:787:847:1050 SD: 0.1136 cents