Scala analysis: CD11_06_Iraq
Elles se sont enfuies, les nuits de bonheur - Ensemble de Muhammad Al-Qubbbânjî (ibrahimi, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 157.433 cents 157.433058 2: 303.352 cents 303.351616 3: 496.558 cents 496.557581 4: 704.697 cents 704.697346 5: 997.536 cents 997.536037 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 202.4640 cents 202.4640 1: 157.4331 cents 157.4331 2: 145.9186 cents 145.9186 3: 193.2060 cents 193.2060 4: 208.1398 cents 208.1398 5: 292.8387 cents 292.8387 6: 202.4640 cents 202.4640
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 145.91856 cents 1: 1 157.43306 cents 1: 1 193.20597 cents 1: 1 202.46396 cents 1: 1 208.13977 cents 1: 1 292.83869 cents 2: 1 303.35162 cents 2: 1 339.12452 cents 2: 1 359.89702 cents 2: 1 401.34573 cents 2: 1 495.30265 cents 2: 1 500.97846 cents 3: 1 496.55758 cents 3: 1 505.81558 cents 3: 1 547.26429 cents 3: 1 652.73571 cents 3: 1 694.18442 cents 3: 1 703.44242 cents 4: 1 699.02154 cents 4: 1 704.69735 cents 4: 1 798.65427 cents 4: 1 840.10298 cents 4: 1 860.87548 cents 4: 1 896.64838 cents 5: 1 907.16131 cents 5: 1 991.86023 cents 5: 1 997.53604 cents 5: 1 1006.79404 cents 5: 1 1042.56694 cents 5: 1 1054.08144 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 : 157.4 303.4 496.6 704.7 997.5 1200.0 157.4 : 145.9 339.1 547.3 840.1 1042.6 1200.0 303.4 : 193.2 401.3 694.2 896.6 1054.1 1200.0 496.6 : 208.1 501.0 703.4 860.9 1006.8 1200.0 704.7 : 292.8 495.3 652.7 798.7 991.9 1200.0 997.5 : 202.5 359.9 505.8 699.0 907.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 145.9186 .. 292.8387 cents 146.92013 cents 145.91856 cents 2: 303.3516 .. 500.9785 cents 197.62684 cents 10.51292 cents 3: 496.5576 .. 703.4424 cents 206.88484 cents -4.42088 cents 4: 699.0215 .. 896.6484 cents 197.62684 cents -4.42088 cents 5: 907.1613 .. 1054.0814 cents 146.92013 cents 10.51292 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 145.91856 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 292.83869 cents Average / Smallest step : 1.370628 Largest / Average step : 1.464193 Largest / Smallest step : 2.006864 Median interval of one step : 197.83496 cents, amount: 0 Least squares average step : 189.67339 cents, oct.: 1138.04035 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BACEFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.25493 cents Scale diversity : 1.492095 Lumma stability : 0.260719 Lumma impropriety factor : 0.007368 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 : 1.25493 cents Number of recognisable fifths : 4, average 700.3364 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 1 1 1 1 2 N T3 SD: 125.6796 c. M: 197.5360 c. 7: 1 1 1 1 2 1 P M ME SD: 23.7851 c. M:-39.5055 c. 12: 2 1 2 2 3 2 P G D3 SD: 17.6218 c. M:-42.5669 c. Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island) 15: 2 2 2 3 3 3 P SD: 19.1531 c. M: 37.5360 c. 17: 2 2 3 3 4 3 P SD: 11.5404 c. M: 20.9987 c. 24: 3 3 4 4 6 4 P SD: 4.2125 c. M: 7.4331 c. 53: 7 6 9 9 13 9 P SD: 3.9659 c. M: 9.0120 c. 55: 7 7 9 9 14 9 P SD: 4.7242 c. M: 6.5155 c. 60: 8 7 10 10 15 10 P SD: 3.1040 c. M: 4.6973 c. 63: 8 8 10 11 15 11 P SD: 3.6309 c. M: 7.0598 c. 70: 9 9 11 12 17 12 P SD: 2.9282 c. M:-5.2198 c. 75: 10 9 12 13 18 13 P SD: 2.5316 c. M: 5.5360 c. 78: 10 10 12 14 19 13 N SD: 3.2866 c. M:-4.3407 c. 82: 11 10 13 14 20 14 P SD: 2.5887 c. M:-3.9655 c. 87: 11 11 14 15 21 15 P SD: 2.9947 c. M: 5.7089 c. 90: 12 11 14 16 22 15 N SD: 2.5141 c. M:-3.3151 c. 92: 12 11 15 16 22 16 P SD: 2.9394 c. M: 6.2317 c. 94: 12 12 15 16 23 16 P SD: 2.5404 c. M: 4.2416 c. 99: 13 12 16 17 24 17 P SD: 1.6334 c. M: 3.5966 c. 106: 14 13 17 18 26 18 P SD: 1.7551 c. M: 2.8106 c. 107: 14 13 17 19 26 18 N SD: 1.5190 c. M: 3.0996 c. 114: 15 14 18 20 28 19 N SD: 1.5041 c. M:-2.4640 c. 123: 16 15 20 21 30 21 P SD: 1.5573 c. M: 2.4141 c. 131: 17 16 21 23 32 22 N SD: 1.2216 c. M: 1.9011 c. 138: 18 17 22 24 34 23 N SD: 1.2135 c. M:-2.4640 c. 167: 22 20 27 29 41 28 N SD: 0.9366 c. M: 1.5552 c. 189: 25 23 30 33 46 32 N SD: 0.9934 c. M:-1.4103 c. 206: 27 25 33 36 50 35 N SD: 0.8415 c. M: 1.4195 c. 213: 28 26 34 37 52 36 N SD: 0.5511 c. M:-0.8737 c. 237: 31 29 38 41 58 40 N SD: 0.4763 c. M: 0.8999 c. 375: 49 46 60 65 92 63 N SD: 0.6278 c. M:-0.8640 c. 380: 50 46 61 66 93 64 N SD: 0.4484 c. M: 0.7681 c. 404: 53 49 65 70 99 68 N SD: 0.4455 c. M: 0.7369 c. 443: 58 54 71 77 108 75 N SD: 0.4955 c. M: 0.8465 c. 450: 59 55 72 78 110 76 N SD: 0.4598 c. M: 0.6973 c. 467: 61 57 75 81 114 79 N SD: 0.5107 c. M: 0.6879 c. 479: 63 58 77 83 117 81 N SD: 0.4517 c. M: 0.7307 c. 503: 66 61 81 87 123 85 N SD: 0.4468 c. M: 0.9200 c. 526: 69 64 85 91 128 89 N SD: 0.4101 c. M:-0.7808 c. 534: 70 65 86 93 130 90 N SD: 0.3909 c. M:-0.9206 c. 541: 71 66 87 94 132 91 N SD: 0.4458 c. M:-0.6631 c. 550: 72 67 89 95 134 93 N SD: 0.4334 c. M:-0.8970 c. 558: 73 68 90 97 136 94 N SD: 0.3695 c. M:-0.6790 c. 570: 75 69 92 99 139 96 N SD: 0.3607 c. M:-0.5658 c. 594: 78 72 96 103 145 100 N SD: 0.3202 c. M:-0.4438 c. 633: 83 77 102 110 154 107 N SD: 0.2691 c. M:-0.5159 c. 640: 84 78 103 111 156 108 N SD: 0.2439 c. M:-0.3984 c. 657: 86 80 106 114 160 111 N SD: 0.2559 c. M: 0.3554 c. 664: 87 81 107 115 162 112 N SD: 0.2287 c. M:-0.4304 c. 771: 101 94 124 134 188 130 N SD: 0.1950 c. M:-0.3610 c. 783: 103 95 126 136 191 132 N SD: 0.2216 c. M:-0.4213 c. 795: 104 97 128 138 194 134 N SD: 0.2205 c. M: 0.4519 c. 800: 105 97 129 139 195 135 N SD: 0.1934 c. M: 0.3516 c. 807: 106 98 130 140 197 136 N SD: 0.1399 c. M:-0.2335 c. 906: 119 110 146 157 221 153 N SD: 0.1227 c. M: 0.1850 c. 1037: 136 126 167 180 253 175 N SD: 0.0915 c. M: 0.1694 c. 1044: 137 127 168 181 255 176 N SD: 0.0895 c. M:-0.1651 c. 1677: 220 204 270 291 409 283 N SD: 0.0625 c. M:-0.1327 c. 1701: 223 207 274 295 415 287 N SD: 0.0652 c. M: 0.1138 c. 1844: 242 224 297 320 450 311 N SD: 0.0640 c. M: 0.0978 c. 1914: 251 233 308 332 467 323 N SD: 0.0512 c. M:-0.0967 c. 2081: 273 253 335 361 508 351 N SD: 0.0423 c. M: 0.0655 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 1.3712 cents 3 x x 4 x 5:6 S SD: 37.7290 cents 4 x 5 x 6:7:8 S SD: 21.9581 cents 5 x 6:7:8:9:10 S SD: 28.1569 cents 6 x 7:8:9:11:12 SD: 12.6911 cents 7 x 8:9:11:12:14 SD: 27.7048 cents 8:9:10:11:12:14:16 S SD: 18.9101 cents 9:10:11:12:14:16:18 S SD: 13.1181 cents 10:11:12:13:15:18:20 SD: 8.1841 cents 18:20:21:24:27:32:36 SD: 7.3903 cents 20:22:24:27:30:36:40 S SD: 5.6446 cents 21:23:25:28:32:37:42 SD: 4.9830 cents 22:24:26:29:33:39:44 SD: 4.1804 cents 30:33:36:40:45:53:60 SD: 3.2032 cents 32:35:38:43:48:57:64 SD: 2.7609 cents 42:46:50:56:63:75:84 SD: 1.1932 cents 63:69:75:84:95:112:126 SD: 1.1481 cents 72:79:86:96:108:128:144 SD: 1.0559 cents 94:103:112:125:141:167:188 SD: 0.8294 cents 105:115:125:140:158:187:210 SD: 0.6393 cents 126:138:150:168:189:224:252 SD: 0.6257 cents 135:148:161:180:203:240:270 SD: 0.5798 cents 136:149:162:181:204:242:272 SD: 0.5537 cents 157:172:187:209:236:279:314 SD: 0.4631 cents 177:194:211:236:266:315:354 SD: 0.3771 cents 199:218:237:265:299:354:398 SD: 0.2024 cents 376:412:448:501:565:669:752 SD: 0.1633 cents 512:561:610:682:769:911:1024 SD: 0.1614 cents 548:600:653:730:823:975:1096 SD: 0.1372 cents 599:656:714:798:900:1066:1198 SD: 0.1326 cents