Scala analysis: CD18_14_Tunisia
Tu es absent, ô mon père / Celui qui aime est excusé - L'ensemble de Muhammad Ghânim (unknown maqam, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 196.891 cents 196.891350 2: 374.287 cents 374.286741 3: 519.356 cents 519.355764 4: 686.335 cents 686.334641 5: 912.922 cents 912.921854 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 287.0781 cents 287.0781 1: 196.8913 cents 196.8913 2: 177.3954 cents 177.3954 3: 145.0690 cents 145.0690 4: 166.9789 cents 166.9789 5: 226.5872 cents 226.5872 6: 287.0781 cents 287.0781
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 145.06902 cents 1: 1 166.97888 cents 1: 1 177.39539 cents 1: 1 196.89135 cents 1: 1 226.58721 cents 1: 1 287.07815 cents 2: 1 312.04790 cents 2: 1 322.46441 cents 2: 1 374.28674 cents 2: 1 393.56609 cents 2: 1 483.96950 cents 2: 1 513.66536 cents 3: 1 489.44329 cents 3: 1 519.35576 cents 3: 1 538.63511 cents 3: 1 661.36489 cents 3: 1 680.64424 cents 3: 1 710.55671 cents 4: 1 686.33464 cents 4: 1 716.03050 cents 4: 1 806.43391 cents 4: 1 825.71326 cents 4: 1 877.53559 cents 4: 1 887.95210 cents 5: 1 912.92185 cents 5: 1 973.41279 cents 5: 1 1003.10865 cents 5: 1 1022.60461 cents 5: 1 1033.02112 cents 5: 1 1054.93098 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 : 196.9 374.3 519.4 686.3 912.9 1200.0 196.9 : 177.4 322.5 489.4 716.0 1003.1 1200.0 374.3 : 145.1 312.0 538.6 825.7 1022.6 1200.0 519.4 : 167.0 393.6 680.6 877.5 1054.9 1200.0 686.3 : 226.6 513.7 710.6 888.0 1033.0 1200.0 912.9 : 287.1 484.0 661.4 806.4 973.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 145.0690 .. 287.0781 cents 142.00912 cents 145.06902 cents 2: 312.0479 .. 513.6654 cents 201.61746 cents 24.96975 cents 3: 489.4433 .. 710.5567 cents 221.11342 cents -24.22207 cents 4: 686.3346 .. 887.9521 cents 201.61746 cents -24.22207 cents 5: 912.9219 .. 1054.9310 cents 142.00912 cents 24.96975 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 145.06902 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 287.07815 cents Average / Smallest step : 1.378654 Largest / Average step : 1.435391 Largest / Smallest step : 1.978907 Median interval of one step : 187.14337 cents, amount: 0 Least squares average step : 186.96132 cents, oct.: 1121.76791 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : DCABEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.47380 cents Scale diversity : 1.522326 Lumma stability : 0.283398 Lumma impropriety factor : 0.040370 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 : 5.47380 cents Number of recognisable fifths : 3, average 704.3073 cents Number of appreciable fifths : 1, average 710.5567 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 201.6175 cents: 5 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 67.9175 c. M:-113.6654 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 1 1 1 2 P M ME SD: 28.2063 c. M: 55.7790 c. 11: 2 1 2 1 2 3 N G SD: 31.5460 c. M: 47.0140 c. 12: 2 2 1 2 2 3 P G D3 SD: 15.2709 c. M:-25.7133 c. Arezzo Major Diatonic Hexachord, Guidonian Hexachord, Scottish Hexatonic, Raga Kambhoji, Devarangini, Hem Kalyan, Sama (Syama) 16: 3 2 2 2 3 4 N SD: 13.6499 c. M:-28.1087 c. 17: 3 2 2 3 3 4 P SD: 16.9226 c. M: 25.2381 c. 18: 3 3 2 2 4 4 N SD: 16.6817 c. M:-25.7133 c. 19: 3 3 2 3 3 5 P G D3 SD: 13.9659 c. M: 28.7113 c. 23: 4 3 3 3 4 6 N SD: 12.6929 c. M: 25.9653 c. 25: 4 4 3 3 5 6 N SD: 8.1581 c. M: 14.3346 c. 26: 4 4 3 4 5 6 P SD: 8.6708 c. M: 12.2760 c. 30: 5 4 4 4 6 7 N SD: 7.1229 c. M: 14.2867 c. 35: 6 5 4 5 7 8 N SD: 6.7791 c. M:-12.7924 c. 37: 6 5 5 5 7 9 N SD: 7.7839 c. M: 17.5300 c. 38: 6 6 4 6 7 9 P SD: 7.6829 c. M: 14.0926 c. 42: 7 6 5 6 8 10 N SD: 2.7623 c. M: 5.0700 c. 67: 11 10 8 9 13 16 N SD: 2.4684 c. M: 5.7376 c. 87: 14 13 11 12 16 21 N SD: 3.1196 c. M:-4.7822 c. 92: 15 14 11 13 17 22 N SD: 2.8202 c. M:-4.9697 c. 93: 15 14 11 13 18 22 N SD: 2.5150 c. M: 3.3430 c. 100: 16 15 12 14 19 24 N SD: 2.7903 c. M: 4.8913 c. 103: 17 15 13 14 19 25 N SD: 2.7776 c. M:-4.9161 c. 105: 17 16 12 15 20 25 N SD: 2.6739 c. M: 5.0700 c. 108: 18 16 13 15 20 26 N SD: 2.5778 c. M:-3.4910 c. 109: 18 16 13 15 21 26 N SD: 1.8355 c. M: 3.7658 c. 116: 19 17 14 16 22 28 N SD: 2.1418 c. M: 3.5760 c. 121: 20 18 14 17 23 29 N SD: 2.1020 c. M: 3.6533 c. 122: 20 18 15 17 23 29 N SD: 1.4302 c. M:-2.1899 c. 159: 26 24 19 22 30 38 N SD: 1.4216 c. M:-3.0717 c. 164: 27 24 20 23 31 39 N SD: 1.0655 c. M:-1.7123 c. 189: 31 28 23 26 36 45 N SD: 0.8150 c. M:-1.3639 c. 196: 32 29 24 27 37 47 N SD: 0.7709 c. M:-1.0524 c. 201: 33 30 24 28 38 48 N SD: 0.7844 c. M:-1.8327 c. 208: 34 31 25 29 39 50 N SD: 0.7099 c. M: 1.3834 c. 231: 38 34 28 32 44 55 N SD: 0.6570 c. M:-1.3639 c. 238: 39 35 29 33 45 57 N SD: 0.5681 c. M: 1.1775 c. 243: 40 36 29 34 46 58 N SD: 0.6576 c. M:-1.0219 c. 250: 41 37 30 35 47 60 N SD: 0.5460 c. M: 0.9558 c. 330: 54 49 40 46 62 79 N SD: 0.5289 c. M:-0.9381 c. 346: 57 51 42 48 65 83 N SD: 0.6096 c. M:-0.8754 c. 360: 59 53 44 50 68 86 N SD: 0.5251 c. M: 0.9534 c. 365: 60 54 44 51 69 87 N SD: 0.5957 c. M:-1.0507 c. 372: 61 55 45 52 70 89 N SD: 0.3172 c. M:-0.7621 c. 397: 65 59 48 55 75 95 N SD: 0.3620 c. M:-0.5435 c. 439: 72 65 53 61 83 105 N SD: 0.1313 c. M: 0.2299 c. 811: 133 120 98 113 153 194 N SD: 0.1042 c. M:-0.2252 c. 1049: 172 155 127 146 198 251 N SD: 0.1066 c. M: 0.2162 c. 1128: 185 167 136 157 213 270 N SD: 0.1494 c. M: 0.2068 c. 1208: 198 179 146 168 228 289 N SD: 0.1464 c. M:-0.2166 c. 1238: 203 183 150 172 234 296 N SD: 0.1299 c. M:-0.1919 c. 1250: 205 185 151 174 236 299 N SD: 0.0670 c. M:-0.1133 c. 1488: 244 220 180 207 281 356 N SD: 0.0642 c. M: 0.1172 c. 1731: 284 256 209 241 327 414 N SD: 0.0641 c. M: 0.1183 c. 1927: 316 285 233 268 364 461 N SD: 0.0578 c. M: 0.1088 c. 1969: 323 291 238 274 372 471 N SD: 0.0720 c. M: 0.1074 c. 2103: 345 311 254 293 397 503 N SD: 0.0684 c. M:-0.1133 c. 2170: 356 321 262 302 410 519 N SD: 0.0678 c. M: 0.0931 c. 2299: 377 340 278 320 434 550 N SD: 0.0518 c. M: 0.1101 c. 2315: 380 342 280 322 437 554 N SD: 0.0564 c. M: 0.0925 c. 2341: 384 346 283 326 442 560 N SD: 0.0586 c. M: 0.0905 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 7.8102 cents 3 x x 4 x 5:6 S SD: 11.8790 cents 4 x 5 x 6:7:8 S SD: 14.8196 cents 5 x 6:7 x 8:10 S SD: 32.8593 cents 6:7 x 8:9:10:12 S SD: 16.0139 cents 7:8:9 x 10:12:14 S SD: 20.0198 cents 8:9:10:11:12:14:16 S SD: 11.2851 cents 14:16:17:19:21:24:28 SD: 9.6763 cents 16:18:20:22:24:27:32 SD: 6.4749 cents 17:19:21:23:25:29:34 SD: 4.0526 cents 25:28:31:34:37:42:50 SD: 3.5293 cents 33:37:41:45:49:56:66 SD: 2.9999 cents 41:46:51:55:61:69:82 SD: 2.7629 cents 42:47:52:57:62:71:84 SD: 2.7606 cents 43:48:53:58:64:73:86 SD: 2.4179 cents 49:55:61:66:73:83:98 SD: 1.3196 cents 66:74:82:89:98:112:132 SD: 0.6963 cents 117:131:145:158:174:198:234 SD: 0.6497 cents 140:157:174:189:208:237:280 SD: 0.5303 cents 166:186:206:224:247:281:332 SD: 0.4123 cents 183:205:227:247:272:310:366 SD: 0.2343 cents 232:260:288:313:345:393:464 SD: 0.2081 cents 249:279:309:336:370:422:498 SD: 0.1854 cents 415:465:515:560:617:703:830 SD: 0.1552 cents 423:474:525:571:629:717:846 SD: 0.1541 cents 448:502:556:605:666:759:896 SD: 0.1494 cents 481:539:597:649:715:815:962 SD: 0.1348 cents 497:557:617:671:739:842:994 SD: 0.1261 cents 514:576:638:694:764:871:1028 SD: 0.0980 cents