Scala analysis: CD17_13_Tunisia
Au nom de Dieu et par Dieu - L'ensemble de Muhammad Ghânim (rast, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 280.425 cents 280.424843 2: 484.372 cents 484.371822 3: 564.419 cents 564.418874 4: 879.855 cents 879.854602 5: 975.173 cents 975.173011 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 224.8270 cents 224.8270 1: 280.4248 cents 280.4248 2: 203.9470 cents 203.9470 3: 80.0471 cents 80.0471 4: 315.4357 cents 315.4357 5: 95.3184 cents 95.3184 6: 224.8270 cents 224.8270
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 80.04705 cents 1: 1 95.31841 cents 1: 1 203.94698 cents 1: 1 224.82699 cents 1: 1 280.42484 cents 1: 1 315.43573 cents 2: 1 283.99403 cents 2: 1 320.14540 cents 2: 1 395.48278 cents 2: 1 410.75414 cents 2: 1 484.37182 cents 2: 1 505.25183 cents 3: 1 490.80119 cents 3: 1 564.41887 cents 3: 1 599.42976 cents 3: 1 600.57024 cents 3: 1 635.58113 cents 3: 1 709.19881 cents 4: 1 694.74817 cents 4: 1 715.62818 cents 4: 1 789.24586 cents 4: 1 804.51722 cents 4: 1 879.85460 cents 4: 1 916.00597 cents 5: 1 884.56427 cents 5: 1 919.57516 cents 5: 1 975.17301 cents 5: 1 996.05302 cents 5: 1 1104.68159 cents 5: 1 1119.95295 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 : 280.4 484.4 564.4 879.9 975.2 1200.0 280.4 : 203.9 284.0 599.4 694.7 919.6 1200.0 484.4 : 80.0 395.5 490.8 715.6 996.1 1200.0 564.4 : 315.4 410.8 635.6 916.0 1120.0 1200.0 879.9 : 95.3 320.1 600.6 804.5 884.6 1200.0 975.2 : 224.8 505.3 709.2 789.2 1104.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 80.0471 .. 315.4357 cents 235.38868 cents 80.04705 cents 2: 283.9940 .. 505.2518 cents 221.25780 cents -31.44170 cents 3: 490.8012 .. 709.1988 cents 218.39762 cents -14.45064 cents 4: 694.7482 .. 916.0060 cents 221.25780 cents -14.45064 cents 5: 884.5643 .. 1119.9529 cents 235.38868 cents -31.44170 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 80.04705 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 315.43573 cents Average / Smallest step : 2.498530 Largest / Average step : 1.577179 Largest / Smallest step : 3.940629 Median interval of one step : 214.38698 cents, amount: 0 Least squares average step : 203.71108 cents, oct.: 1222.26650 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : ECAFBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.56919 cents Scale diversity : 1.623039 Lumma stability : 0.133412 Lumma impropriety factor : 0.076487 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 : 1.14048 cents Number of recognisable fifths : 3, average 706.5251 cents Number of appreciable fifths : 2, average 701.9735 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 60.3406 c. M: 84.3718 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 2 1 0 2 1 1 N D3 SD: 42.1766 c. M:-62.4323 c. 8: 2 1 1 2 1 1 P B ME S SD: 38.3743 c. M:-74.8270 c. 10: 2 2 1 2 1 2 P D3 SD: 28.1007 c. M: 40.4248 c. 12: 3 2 1 3 1 2 P T3 SD: 22.0441 c. M:-35.5811 c. 15: 3 3 1 4 1 3 P SD: 17.8094 c. M: 40.4248 c. 17: 4 3 1 4 2 3 P SD: 14.9720 c. M: 32.7958 c. 19: 4 4 1 5 1 4 N SD: 18.3348 c. M: 27.8046 c. 20: 5 3 1 6 1 4 N SD: 16.5057 c. M: 24.4189 c. 21: 5 3 2 5 2 4 P SD: 14.9910 c. M: 27.2290 c. 22: 5 4 1 6 2 4 N SD: 9.6315 c. M: 18.9643 c. 25: 6 4 2 6 2 5 N SD: 10.7409 c. M: 15.8546 c. 26: 6 4 2 7 2 5 N SD: 10.7185 c. M: 22.8334 c. 27: 6 5 2 7 2 5 P SD: 8.9121 c. M: 13.7582 c. 30: 7 5 2 8 2 6 N SD: 6.6965 c. M: 15.1730 c. 34: 8 6 2 9 3 6 N SD: 6.7780 c. M:-13.0623 c. 38: 9 6 3 10 3 7 N SD: 5.4436 c. M: 10.6876 c. 42: 10 7 3 11 3 8 N SD: 4.6057 c. M:-7.0097 c. 52: 12 9 3 14 4 10 N SD: 5.2916 c. M: 10.5727 c. 55: 13 9 4 14 5 10 N SD: 4.6998 c. M: 7.1273 c. 57: 13 10 4 15 4 11 N SD: 4.5834 c. M: 6.7520 c. 59: 14 10 4 15 5 11 N SD: 3.8218 c. M: 5.2783 c. 60: 14 10 4 16 5 11 N SD: 3.2182 c. M:-4.8270 c. 64: 15 11 4 17 5 12 N SD: 1.6394 c. M:-3.1282 c. 102: 24 17 7 27 8 19 N SD: 1.6228 c. M:-2.4983 c. 124: 29 21 8 33 10 23 N SD: 1.6206 c. M: 3.1286 c. 134: 31 23 9 35 11 25 N SD: 1.5556 c. M: 2.8129 c. 149: 35 25 10 39 12 28 N SD: 1.1791 c. M: 2.0023 c. 166: 39 28 11 44 13 31 N SD: 1.1112 c. M:-2.0731 c. 176: 41 30 12 46 14 33 N SD: 0.7301 c. M:-1.4902 c. 213: 50 36 14 56 17 40 N SD: 0.8100 c. M:-1.2653 c. 236: 55 40 16 62 19 44 N SD: 0.7716 c. M: 1.3210 c. 240: 56 41 16 63 19 45 N SD: 0.4008 c. M:-0.6282 c. 342: 80 58 23 90 27 64 N SD: 0.4348 c. M:-0.8472 c. 364: 85 62 24 96 29 68 N SD: 0.4330 c. M: 0.6826 c. 389: 91 66 26 102 31 73 N SD: 0.3400 c. M: 0.6772 c. 453: 106 77 30 119 36 85 N SD: 0.3133 c. M:-0.3964 c. 540: 126 92 36 142 43 101 N SD: 0.2429 c. M: 0.4248 c. 570: 133 97 38 150 45 107 N SD: 0.2773 c. M: 0.4362 c. 604: 141 103 40 159 48 113 N SD: 0.2760 c. M:-0.3964 c. 629: 147 107 42 165 50 118 N SD: 0.2391 c. M: 0.3633 c. 689: 161 117 46 181 55 129 N SD: 0.1720 c. M: 0.3190 c. 731: 171 124 49 192 58 137 N SD: 0.1739 c. M:-0.2870 c. 753: 176 128 50 198 60 141 N SD: 0.1487 c. M: 0.2754 c. 795: 186 135 53 209 63 149 N SD: 0.1696 c. M:-0.3299 c. 929: 217 158 62 244 74 174 N SD: 0.1029 c. M: 0.1991 c. 1031: 241 175 69 271 82 193 N SD: 0.1204 c. M:-0.1907 c. 1095: 256 186 73 288 87 205 N SD: 0.1052 c. M:-0.1695 c. 1271: 297 216 85 334 101 238 N SD: 0.0946 c. M:-0.1759 c. 1335: 312 227 89 351 106 250 N SD: 0.0950 c. M:-0.1454 c. 1484: 347 252 99 390 118 278 N SD: 0.0754 c. M:-0.1681 c. 1665: 389 283 111 438 132 312 N SD: 0.0795 c. M:-0.1454 c. 1724: 403 293 115 453 137 323 N SD: 0.0614 c. M:-0.0856 c. 2024: 473 344 135 532 161 379 N SD: 0.0513 c. M:-0.1234 c. 2054: 480 349 137 540 163 385 N SD: 0.0511 c. M: 0.1000 c. 2294: 536 390 153 603 182 430 N SD: 0.0482 c. M: 0.1076 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 68.7681 cents 3 x 4 x 5 x 6 S SD: 4.7986 cents 4 x 5:6 x 7:8 S SD: 42.2580 cents 5:6 x 7:8:9:10 S SD: 17.6018 cents 6:7:8 x 10:11:12 S SD: 15.3559 cents 7:8:9:10 x 12:14 S SD: 19.4308 cents 8:9 x 11:13:14:16 SD: 17.4506 cents 9:11:12 x 15:16:18 SD: 14.3269 cents 10:12:13:14:17:18:20 SD: 12.6724 cents 11:13 x 15:18:19:22 SD: 9.8278 cents 12:14:16:17:20:21:24 SD: 7.3025 cents 14:16 x 19:23:25:28 SD: 14.0547 cents 15:18:20:21:25:26:30 SD: 7.9928 cents 16:19:21:22:27:28:32 SD: 6.1581 cents 18:21:24:25:30:32:36 S SD: 4.8504 cents 21:25:28:29:35:37:42 SD: 4.4932 cents 24:28:32:33:40:42:48 SD: 4.0922 cents 28:33:37:39:47:49:56 SD: 3.4495 cents 29:34:38:40:48:51:58 SD: 3.3961 cents 33:39:44:46:55:58:66 SD: 3.3237 cents 34:40:45:47:57:60:68 SD: 2.8759 cents 41:48:54:57:68:72:82 SD: 2.1452 cents 50:59:66:69:83:88:100 SD: 1.7959 cents 57:67:75:79:95:100:114 SD: 1.7544 cents 62:73:82:86:103:109:124 SD: 0.6144 cents 130:153:172:180:216:228:260 SD: 0.5502 cents 148:174:196:205:246:260:296 SD: 0.3371 cents 205:241:271:284:341:360:410 SD: 0.2816 cents 210:247:278:291:349:369:420 SD: 0.2728 cents 267:314:353:370:444:469:534 SD: 0.2100 cents 353:415:467:489:587:620:706 SD: 0.1163 cents 415:488:549:575:690:729:830 SD: 0.0695 cents