Scala analysis: CD18_12_Tunisia
Chantez la grandeur de Dieu - L'ensemble de Muhammad Ghânim (isfahan, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 200.319 cents 200.319128 2: 500.030 cents 500.030325 3: 716.870 cents 716.870233 4: 868.336 cents 868.336062 5: 1057.404 cents 1057.403628 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 142.5964 cents 142.5964 1: 200.3191 cents 200.3191 2: 299.7112 cents 299.7112 3: 216.8399 cents 216.8399 4: 151.4658 cents 151.4658 5: 189.0676 cents 189.0676 6: 142.5964 cents 142.5964
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 142.59637 cents 1: 1 151.46583 cents 1: 1 189.06757 cents 1: 1 200.31913 cents 1: 1 216.83991 cents 1: 1 299.71120 cents 2: 1 331.66394 cents 2: 1 340.53339 cents 2: 1 342.91550 cents 2: 1 368.30574 cents 2: 1 500.03032 cents 2: 1 516.55111 cents 3: 1 483.12977 cents 3: 1 531.98307 cents 3: 1 557.37330 cents 3: 1 642.62670 cents 3: 1 668.01693 cents 3: 1 716.87023 cents 4: 1 683.44889 cents 4: 1 699.96968 cents 4: 1 831.69426 cents 4: 1 857.08450 cents 4: 1 859.46660 cents 4: 1 868.33606 cents 5: 1 900.28880 cents 5: 1 983.16009 cents 5: 1 999.68087 cents 5: 1 1010.93243 cents 5: 1 1048.53417 cents 5: 1 1057.40363 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 : 200.3 500.0 716.9 868.3 1057.4 1200.0 200.3 : 299.7 516.6 668.0 857.1 999.7 1200.0 500.0 : 216.8 368.3 557.4 700.0 900.3 1200.0 716.9 : 151.5 340.5 483.1 683.4 983.2 1200.0 868.3 : 189.1 331.7 532.0 831.7 1048.5 1200.0 1057.4: 142.6 342.9 642.6 859.5 1010.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 142.5964 .. 299.7112 cents 157.11482 cents 142.59637 cents 2: 331.6639 .. 516.5511 cents 184.88717 cents 31.95274 cents 3: 483.1298 .. 716.8702 cents 233.74047 cents -33.42134 cents 4: 683.4489 .. 868.3361 cents 184.88717 cents -33.42134 cents 5: 900.2888 .. 1057.4036 cents 157.11482 cents 31.95274 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 142.59637 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 299.71120 cents Average / Smallest step : 1.402560 Largest / Average step : 1.498556 Largest / Smallest step : 2.101815 Median interval of one step : 194.69335 cents, amount: 0 Least squares average step : 212.21267 cents, oct.: 1273.27601 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : DFEBCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 15.43196 cents Scale diversity : 1.498707 Lumma stability : 0.290915 Lumma impropriety factor : 0.055702 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 : 2.38210 cents Number of recognisable fifths : 2, average 708.4200 cents Number of appreciable fifths : 1, average 699.9697 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 184.8872 cents: 3 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 72.6060 c. M: 116.8702 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 2 1 1 1 1 P M ME SD: 22.2304 c. M: 31.1559 c. 15: 3 3 3 2 2 2 P SD: 20.1019 c. M:-39.6809 c. 17: 3 4 3 2 3 2 P SD: 11.1163 c. M: 21.2772 c. 22: 4 5 4 3 3 3 P SD: 12.4147 c. M: 21.0400 c. 24: 4 6 4 3 4 3 P SD: 10.6124 c. M: 18.3361 c. 25: 4 6 5 3 4 3 N SD: 9.1377 c. M: 20.0303 c. 32: 5 8 6 4 5 4 N SD: 8.4588 c. M: 12.8191 c. 35: 6 9 6 4 6 4 N SD: 8.1358 c. M:-14.2554 c. 36: 6 9 7 4 6 4 N SD: 7.7430 c. M:-16.4631 c. 40: 7 10 7 5 6 5 N SD: 6.5890 c. M:-9.9697 c. 43: 7 11 8 5 7 5 N SD: 4.5752 c. M:-8.7112 c. 48: 8 12 9 6 7 6 N SD: 5.2507 c. M:-8.1298 c. 50: 8 13 9 6 8 6 N SD: 4.3881 c. M: 8.3191 c. 53: 9 13 10 6 9 6 N SD: 5.5245 c. M: 7.9587 c. 55: 9 14 10 7 8 7 N SD: 5.0093 c. M: 10.1309 c. 58: 10 14 11 7 9 7 N SD: 4.3504 c. M:-7.2677 c. 60: 10 15 11 7 10 7 N SD: 3.7888 c. M: 8.3361 c. 62: 10 16 11 8 10 7 N SD: 4.3611 c. M:-7.1125 c. 65: 11 16 12 8 10 8 N SD: 2.7762 c. M: 5.0959 c. 72: 12 18 13 9 11 9 N SD: 3.1023 c. M: 7.4036 c. 77: 13 19 14 10 12 9 N SD: 2.2985 c. M:-4.3912 c. 84: 14 21 15 11 13 10 N SD: 1.6540 c. M:-3.0925 c. 120: 20 30 22 15 19 14 N SD: 1.7985 c. M:-3.1298 c. 127: 21 32 23 16 20 15 N SD: 1.1073 c. M: 1.8939 c. 144: 24 36 26 18 23 17 N SD: 0.7953 c. M: 1.6694 c. 209: 35 52 38 26 33 25 N SD: 0.8241 c. M: 1.3504 c. 221: 37 55 40 28 35 26 N SD: 0.6837 c. M:-1.4199 c. 228: 38 57 41 29 36 27 N SD: 0.5032 c. M: 1.0808 c. 271: 45 68 49 34 43 32 N SD: 0.6399 c. M: 1.0571 c. 286: 48 71 52 36 45 34 N SD: 0.5936 c. M:-1.0795 c. 293: 49 73 53 37 46 35 N SD: 0.3781 c. M: 0.7483 c. 372: 62 93 67 47 59 44 N SD: 0.4902 c. M: 0.7412 c. 377: 63 94 68 48 59 45 N SD: 0.4853 c. M: 0.6899 c. 413: 69 103 75 52 65 49 N SD: 0.4050 c. M:-0.8053 c. 420: 70 105 76 53 66 50 N SD: 0.2238 c. M: 0.3191 c. 521: 87 130 94 66 82 62 N SD: 0.2597 c. M: 0.5555 c. 564: 94 141 102 71 89 67 N SD: 0.1781 c. M: 0.3191 c. 641: 107 160 116 81 101 76 N SD: 0.2035 c. M:-0.3187 c. 648: 108 162 117 82 102 77 N SD: 0.1720 c. M: 0.3191 c. 792: 132 198 143 100 125 94 N SD: 0.1815 c. M: 0.3191 c. 850: 142 212 154 107 134 101 N SD: 0.1814 c. M:-0.3062 c. 857: 143 214 155 108 135 102 N SD: 0.1413 c. M: 0.2274 c. 934: 156 233 169 118 147 111 N SD: 0.1347 c. M: 0.2445 c. 1078: 180 269 195 136 170 128 N SD: 0.1044 c. M: 0.2159 c. 1085: 181 271 196 137 171 129 N SD: 0.1240 c. M: 0.1882 c. 1306: 218 326 236 165 206 155 N SD: 0.1278 c. M: 0.1835 c. 1354: 226 338 245 171 213 161 N SD: 0.1258 c. M:-0.2016 c. 1371: 229 342 248 173 216 163 N SD: 0.1198 c. M: 0.2491 c. 1473: 246 368 266 186 232 175 N SD: 0.0904 c. M:-0.1733 c. 1498: 250 374 271 189 236 178 N SD: 0.0790 c. M: 0.1638 c. 1617: 270 404 292 204 255 192 N SD: 0.0846 c. M:-0.1552 c. 1642: 274 410 297 207 259 195 N SD: 0.0967 c. M: 0.1521 c. 1701: 284 425 307 215 268 202 N SD: 0.0941 c. M:-0.1460 c. 1726: 288 431 312 218 272 205 N SD: 0.0812 c. M: 0.1462 c. 1766: 295 441 319 223 278 210 N SD: 0.0807 c. M:-0.1339 c. 1893: 316 473 342 239 298 225 N SD: 0.0829 c. M:-0.1282 c. 1910: 319 477 345 241 301 227 N SD: 0.0579 c. M:-0.0997 c. 2037: 340 509 368 257 321 242 N SD: 0.0575 c. M:-0.1170 c. 2330: 389 582 421 294 367 277 N SD: 0.0398 c. M: 0.0646 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 7.4576 cents 3 x 4 x 5 x 6 S SD: 5.3817 cents 4 x 5:6 x 7:8 S SD: 36.2284 cents 5:6:7 x 8:9:10 S SD: 31.4157 cents 6:7:8:9:10:11:12 H SD: 11.7579 cents 8:9:11:12:13:15:16 SD: 11.2937 cents 12:13:16:18:20:22:24 SD: 11.0056 cents 14:16:19:21:23:26:28 SD: 7.9567 cents 15:17:20:23:25:28:30 SD: 6.6665 cents 17:19:23:26:28:31:34 SD: 5.9451 cents 18:20:24:27:30:33:36 S SD: 4.9124 cents 23:26:31:35:38:42:46 SD: 4.5491 cents 24:27:32:36:40:44:48 SD: 3.9464 cents 31:35:41:47:51:57:62 SD: 3.3969 cents 32:36:43:48:53:59:64 SD: 3.3215 cents 33:37:44:50:54:61:66 SD: 2.8944 cents 39:44:52:59:64:72:78 SD: 2.4137 cents 48:54:64:73:79:88:96 SD: 2.3271 cents 49:55:65:74:81:90:98 SD: 2.0712 cents 51:57:68:77:84:94:102 SD: 1.6564 cents 57:64:76:86:94:105:114 SD: 0.9509 cents 89:100:119:135:147:164:178 SD: 0.9227 cents 107:120:143:162:177:197:214 SD: 0.7186 cents 131:147:175:198:216:241:262 SD: 0.6727 cents 132:148:176:200:218:243:264 SD: 0.6672 cents 138:155:184:209:228:254:276 SD: 0.5234 cents 146:164:195:221:241:269:292 SD: 0.3023 cents 203:228:271:307:335:374:406 SD: 0.2699 cents 302:339:403:457:499:556:604 SD: 0.2439 cents 310:348:414:469:512:571:620 SD: 0.1469 cents 448:503:598:678:740:825:896 SD: 0.1296 cents 499:560:666:755:824:919:998 SD: 0.1208 cents 505:567:674:764:834:930:1010 SD: 0.0779 cents