Scala analysis: CD12_18_Iraq
(Suite) Au-dessus de toi, le ciel - Ensemble de Muhammad Al-Qubbbânjî (bherzawi, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 147.099 cents 147.098961 2: 303.818 cents 303.817849 3: 494.209 cents 494.208979 4: 696.599 cents 696.598512 5: 995.948 cents 995.947587 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 204.0524 cents 204.0524 1: 147.0990 cents 147.0990 2: 156.7189 cents 156.7189 3: 190.3911 cents 190.3911 4: 202.3895 cents 202.3895 5: 299.3491 cents 299.3491 6: 204.0524 cents 204.0524
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 147.09896 cents 1: 1 156.71889 cents 1: 1 190.39113 cents 1: 1 202.38953 cents 1: 1 204.05241 cents 1: 1 299.34907 cents 2: 1 303.81785 cents 2: 1 347.11002 cents 2: 1 351.15137 cents 2: 1 392.78066 cents 2: 1 501.73861 cents 2: 1 503.40149 cents 3: 1 494.20898 cents 3: 1 507.87026 cents 3: 1 549.49955 cents 3: 1 650.50045 cents 3: 1 692.12974 cents 3: 1 705.79102 cents 4: 1 696.59851 cents 4: 1 698.26139 cents 4: 1 807.21934 cents 4: 1 848.84863 cents 4: 1 852.88998 cents 4: 1 896.18215 cents 5: 1 900.65093 cents 5: 1 995.94759 cents 5: 1 997.61047 cents 5: 1 1009.60887 cents 5: 1 1043.28111 cents 5: 1 1052.90104 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 : 147.1 303.8 494.2 696.6 995.9 1200.0 147.1 : 156.7 347.1 549.5 848.8 1052.9 1200.0 303.8 : 190.4 392.8 692.1 896.2 1043.3 1200.0 494.2 : 202.4 501.7 705.8 852.9 1009.6 1200.0 696.6 : 299.3 503.4 650.5 807.2 997.6 1200.0 995.9 : 204.1 351.2 507.9 698.3 900.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 147.0990 .. 299.3491 cents 152.25011 cents 147.09896 cents 2: 303.8178 .. 503.4015 cents 199.58364 cents 4.46877 cents 3: 494.2090 .. 705.7910 cents 211.58204 cents -9.19251 cents 4: 696.5985 .. 896.1822 cents 199.58364 cents -9.19251 cents 5: 900.6509 .. 1052.9010 cents 152.25011 cents 4.46877 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 147.09896 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 299.34907 cents Average / Smallest step : 1.359629 Largest / Average step : 1.496745 Largest / Smallest step : 2.035018 Median interval of one step : 196.39033 cents, amount: 0 Least squares average step : 189.04938 cents, oct.: 1134.29628 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : ABCDFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.46877 cents Scale diversity : 1.456753 Lumma stability : 0.252613 Lumma impropriety factor : 0.015321 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 : 1.66288 cents Number of recognisable fifths : 4, average 698.1952 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 1 2 1 N D3 SD: 72.8007 c. M: 103.8178 c. 7: 1 1 1 1 2 1 P M ME SD: 24.8390 c. M:-39.0393 c. 12: 1 2 2 2 3 2 P T3 SD: 19.5551 c. M: 47.0990 c. Raga Gandharavam, Sabai silt: Ethiopia 15: 2 2 2 3 3 3 P SD: 20.2898 c. M: 35.9476 c. 16: 2 2 2 3 4 3 N SD: 21.9193 c. M: 44.2090 c. 17: 2 2 3 3 4 3 P SD: 10.3400 c. M: 21.4649 c. 19: 2 3 3 3 5 3 P SD: 12.3387 c. M: 20.7832 c. 24: 3 3 4 4 6 4 P SD: 3.7532 c. M:-5.7910 c. 59: 7 8 9 10 15 10 N SD: 3.8079 c. M: 6.0734 c. 64: 8 8 10 11 16 11 N SD: 3.6730 c. M: 6.7090 c. 66: 8 9 10 11 17 11 N SD: 3.8771 c. M: 5.6894 c. 71: 9 9 11 12 18 12 N SD: 3.0723 c. M:-5.0137 c. 76: 9 10 12 13 19 13 N SD: 3.3384 c. M: 4.9937 c. 82: 10 11 13 14 20 14 P SD: 3.1318 c. M:-5.8405 c. 83: 10 11 13 14 21 14 N SD: 1.9560 c. M: 2.6427 c. 100: 12 13 16 17 25 17 N SD: 2.2144 c. M: 3.8178 c. 107: 13 14 17 18 27 18 N SD: 1.2700 c. M:-2.1833 c. 131: 16 17 21 22 33 22 N SD: 1.2497 c. M:-2.5257 c. 146: 18 19 23 25 36 25 N SD: 1.1608 c. M:-2.0316 c. 153: 19 20 24 26 38 26 N SD: 1.2944 c. M:-2.0645 c. 165: 20 22 26 28 41 28 N SD: 1.1673 c. M: 1.6444 c. 170: 21 22 27 29 42 29 N SD: 1.0615 c. M:-2.2250 c. 177: 22 23 28 30 44 30 N SD: 1.2697 c. M:-2.0536 c. 189: 23 25 30 32 47 32 N SD: 1.0917 c. M:-1.8142 c. 212: 26 28 33 36 53 36 N SD: 1.0567 c. M:-1.8425 c. 229: 28 30 36 39 57 39 N SD: 0.7113 c. M: 1.6326 c. 236: 29 31 37 40 59 40 N SD: 0.7246 c. M:-1.2669 c. 253: 31 33 40 43 63 43 N SD: 0.4737 c. M: 0.9283 c. 277: 34 36 44 47 69 47 N SD: 0.4901 c. M:-0.8744 c. 352: 43 46 56 59 88 60 N SD: 0.5757 c. M: 1.1440 c. 360: 44 47 57 61 90 61 N SD: 0.5339 c. M: 0.8756 c. 376: 46 49 60 63 94 64 N SD: 0.4949 c. M: 0.8538 c. 400: 49 52 64 67 100 68 N SD: 0.5268 c. M: 0.8178 c. 422: 52 55 67 71 105 72 N SD: 0.5169 c. M:-0.7683 c. 434: 53 57 69 73 108 74 N SD: 0.4615 c. M:-0.7219 c. 474: 58 62 75 80 118 81 N SD: 0.5063 c. M: 1.0109 c. 481: 59 63 76 81 120 82 N SD: 0.3956 c. M: 0.5486 c. 498: 61 65 79 84 124 85 N SD: 0.3515 c. M: 0.7669 c. 505: 62 66 80 85 126 86 N SD: 0.2559 c. M: 0.3609 c. 522: 64 68 83 88 130 89 N SD: 0.2704 c. M: 0.5453 c. 529: 65 69 84 89 132 90 N SD: 0.2190 c. M:-0.3491 c. 636: 78 83 101 107 159 108 N SD: 0.2001 c. M: 0.3721 c. 758: 93 99 120 128 189 129 N SD: 0.1545 c. M: 0.2776 c. 782: 96 102 124 132 195 133 N SD: 0.1022 c. M:-0.2156 c. 1323: 162 173 210 223 330 225 N SD: 0.0844 c. M: 0.1602 c. 1418: 174 185 225 239 354 241 N SD: 0.0904 c. M:-0.1507 c. 1576: 193 206 250 266 393 268 N SD: 0.0749 c. M: 0.1446 c. 1671: 205 218 265 282 417 284 N SD: 0.0864 c. M: 0.1336 c. 1828: 224 239 290 308 456 311 N SD: 0.0901 c. M:-0.1209 c. 1852: 227 242 294 312 462 315 N SD: 0.0831 c. M:-0.1755 c. 1940: 238 253 308 327 484 330 N SD: 0.0830 c. M:-0.1175 c. 2081: 255 272 330 351 519 354 N SD: 0.0510 c. M: 0.0802 c. 2105: 258 275 334 355 525 358 N SD: 0.0291 c. M:-0.0428 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 2.6782 cents 3 x x 4 x 5:6 S SD: 37.2183 cents 4 x 5 x 6:7:8 S SD: 21.7512 cents 5 x 6:7 x 9:10 SD: 22.9209 cents 6 x 7:8:9:11:12 SD: 13.0563 cents 7 x 8:9:10:12:14 S SD: 27.5518 cents 8:9:10:11:12:14:16 S SD: 19.7616 cents 9:10:11:12:13:16:18 SD: 13.7021 cents 10:11:12:13:15:18:20 SD: 8.4284 cents 12:13:14:16:18:21:24 S SD: 7.8471 cents 20:22:24:27:30:36:40 S SD: 6.6666 cents 21:23:25:28:31:37:42 SD: 4.8949 cents 22:24:26:29:33:39:44 SD: 3.8437 cents 31:34:37:41:46:55:62 SD: 3.5900 cents 32:35:38:43:48:57:64 SD: 3.5162 cents 36:39:43:48:54:64:72 SD: 1.9039 cents 46:50:55:61:69:82:92 SD: 1.8386 cents 57:62:68:76:85:101:114 SD: 1.4317 cents 58:63:69:77:87:103:116 SD: 1.3992 cents 67:73:80:89:100:119:134 SD: 0.9420 cents 99:108:118:132:148:176:198 SD: 0.8740 cents 103:112:123:137:154:183:206 SD: 0.6848 cents 125:136:149:166:187:222:250 SD: 0.6220 cents 145:158:173:193:217:258:290 SD: 0.5546 cents 157:171:187:209:235:279:314 SD: 0.4105 cents 224:244:267:298:335:398:448 SD: 0.2158 cents 339:369:404:451:507:603:678 SD: 0.1953 cents 396:431:472:527:592:704:792 SD: 0.1491 cents 418:455:498:556:625:743:836 SD: 0.1320 cents 521:567:621:693:779:926:1042 SD: 0.1316 cents 553:602:659:736:827:983:1106 SD: 0.1264 cents 563:613:671:749:842:1001:1126 SD: 0.0752 cents