Scala analysis: CD17_14_Tunisia
(Suite) Allâh, Allâh, Allâh - 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: 278.372 cents 278.372407 2: 518.709 cents 518.709327 3: 709.231 cents 709.231309 4: 790.583 cents 790.582866 5: 1003.600 cents 1003.599597 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 196.4004 cents 196.4004 1: 278.3724 cents 278.3724 2: 240.3369 cents 240.3369 3: 190.5220 cents 190.5220 4: 81.3516 cents 81.3516 5: 213.0167 cents 213.0167 6: 196.4004 cents 196.4004
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 81.35156 cents 1: 1 190.52198 cents 1: 1 196.40040 cents 1: 1 213.01673 cents 1: 1 240.33692 cents 1: 1 278.37241 cents 2: 1 271.87354 cents 2: 1 294.36829 cents 2: 1 409.41713 cents 2: 1 430.85890 cents 2: 1 474.77281 cents 2: 1 518.70933 cents 3: 1 484.89027 cents 3: 1 490.76869 cents 3: 1 512.21046 cents 3: 1 687.78954 cents 3: 1 709.23131 cents 3: 1 715.10973 cents 4: 1 681.29067 cents 4: 1 725.22719 cents 4: 1 769.14110 cents 4: 1 790.58287 cents 4: 1 905.63171 cents 4: 1 928.12646 cents 5: 1 921.62759 cents 5: 1 959.66308 cents 5: 1 986.98327 cents 5: 1 1003.59960 cents 5: 1 1009.47802 cents 5: 1 1118.64844 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 : 278.4 518.7 709.2 790.6 1003.6 1200.0 278.4 : 240.3 430.9 512.2 725.2 921.6 1200.0 518.7 : 190.5 271.9 484.9 681.3 959.7 1200.0 709.2 : 81.4 294.4 490.8 769.1 1009.5 1200.0 790.6 : 213.0 409.4 687.8 928.1 1118.6 1200.0 1003.6: 196.4 474.8 715.1 905.6 987.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 81.3516 .. 278.3724 cents 197.02085 cents 81.35156 cents 2: 271.8735 .. 518.7093 cents 246.83579 cents -6.49887 cents 3: 484.8903 .. 715.1097 cents 230.21946 cents -33.81906 cents 4: 681.2907 .. 928.1265 cents 246.83579 cents -33.81906 cents 5: 921.6276 .. 1118.6484 cents 197.02085 cents -6.49887 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 81.35156 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 278.37241 cents Average / Smallest step : 2.458466 Largest / Average step : 1.391862 Largest / Smallest step : 3.421845 Median interval of one step : 204.70857 cents, amount: 0 Least squares average step : 206.85510 cents, oct.: 1241.13062 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : FEBADC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.49887 cents Scale diversity : 1.484542 Lumma stability : 0.135586 Lumma impropriety factor : 0.067197 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 : 5.87842 cents Number of recognisable fifths : 3, average 704.0435 cents Number of appreciable fifths : 1, average 709.2313 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 2 1 0 1 1 N T3 SD: 59.2888 c. M:-90.7687 c. 7: 2 1 1 1 1 1 P M ME SD: 40.3830 c. M:-66.5600 c. 9: 2 2 1 1 2 1 P D3 SD: 32.2200 c. M:-63.0671 c. 12: 3 2 2 1 2 2 P G D3 SD: 12.9399 c. M:-21.6276 c. Phrygian Hexatonic, Raga Desya Todi, Gopikavasantam (Gopika Basant), Jayantasri 17: 4 3 3 1 3 3 P G D3 SD: 13.3356 c. M: 24.5917 c. 18: 4 4 3 1 3 3 N SD: 13.1240 c. M:-24.1020 c. 25: 6 5 4 2 4 4 N SD: 12.6515 c. M:-25.4171 c. 26: 6 5 4 2 5 4 P SD: 9.8690 c. M: 16.9236 c. 30: 7 6 5 2 5 5 N SD: 6.0817 c. M:-10.7687 c. 42: 10 8 7 3 7 7 N SD: 5.7830 c. M:-9.4171 c. 44: 10 9 7 3 8 7 N SD: 3.2256 c. M: 5.6451 c. 56: 13 11 9 4 10 9 N SD: 2.6362 c. M: 4.4236 c. 74: 17 15 12 5 13 12 N SD: 2.7389 c. M:-4.2822 c. 85: 20 17 13 6 15 14 N SD: 2.6423 c. M:-3.9805 c. 86: 20 17 14 6 15 14 N SD: 2.4480 c. M:-4.7660 c. 90: 21 18 14 6 16 15 N SD: 2.5556 c. M: 3.9162 c. 91: 21 18 15 6 16 15 N SD: 2.3161 c. M: 4.4236 c. 108: 25 22 17 7 19 18 N SD: 2.3114 c. M: 3.5996 c. 111: 26 22 18 7 20 18 N SD: 2.2701 c. M:-4.2822 c. 115: 27 23 18 8 20 19 N SD: 2.2414 c. M:-3.3667 c. 117: 27 24 18 8 21 19 N SD: 2.1050 c. M:-4.3676 c. 120: 28 24 19 8 21 20 N SD: 1.7418 c. M: 3.5996 c. 128: 30 25 21 8 23 21 N SD: 2.5235 c. M:-3.2687 c. 129: 30 26 20 9 23 21 N SD: 1.3917 c. M: 2.2546 c. 134: 31 27 21 9 24 22 N SD: 1.3498 c. M: 2.5232 c. 146: 34 29 23 10 26 24 N SD: 1.3396 c. M: 2.3820 c. 159: 37 32 25 11 28 26 N SD: 1.1912 c. M:-2.0454 c. 164: 38 33 26 11 29 27 N SD: 0.6438 c. M: 1.1606 c. 220: 51 44 35 15 39 36 N SD: 0.2714 c. M: 0.5275 c. 384: 89 77 61 26 68 63 N SD: 0.2275 c. M: 0.4746 c. 604: 140 121 96 41 107 99 N SD: 0.1756 c. M: 0.2883 c. 824: 191 165 131 56 146 135 N SD: 0.1800 c. M: 0.2627 c. 844: 196 169 134 57 150 138 N SD: 0.2056 c. M:-0.3006 c. 897: 208 180 142 61 159 147 N SD: 0.2026 c. M:-0.3542 c. 905: 210 181 144 61 161 148 N SD: 0.1901 c. M: 0.3066 c. 953: 221 191 151 65 169 156 N SD: 0.1560 c. M: 0.3121 c. 1064: 247 213 169 72 189 174 N SD: 0.1298 c. M:-0.1990 c. 1117: 259 224 177 76 198 183 N SD: 0.1500 c. M: 0.1976 c. 1198: 278 240 190 81 213 196 N SD: 0.1360 c. M: 0.2657 c. 1228: 285 246 195 83 218 201 N SD: 0.1275 c. M:-0.2149 c. 1284: 298 257 204 87 228 210 N SD: 0.0960 c. M:-0.1387 c. 1418: 329 284 225 96 252 232 N SD: 0.0852 c. M: 0.1738 c. 1448: 336 290 230 98 257 237 N SD: 0.0804 c. M:-0.1610 c. 1504: 349 301 239 102 267 246 N SD: 0.0902 c. M:-0.1238 c. 1638: 380 328 260 111 291 268 N SD: 0.0604 c. M: 0.1067 c. 1668: 387 334 265 113 296 273 N SD: 0.0590 c. M:-0.1212 c. 1858: 431 372 295 126 330 304 N SD: 0.0592 c. M: 0.0872 c. 2022: 469 405 321 137 359 331 N SD: 0.0410 c. M: 0.0784 c. 2242: 520 449 356 152 398 367 N SD: 0.0429 c. M: 0.0653 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 3.6382 cents 3 x 4 x 5 x 6 S SD: 32.0085 cents 4:5 x 6 x 7:8 S SD: 28.4094 cents 5:6:7 x 8:9:10 S SD: 15.7346 cents 6:7:8:9 x 11:12 SD: 10.4049 cents 7:8:9 x 11:13:14 SD: 23.6002 cents 8:9:11:12:13:14:16 SD: 16.9678 cents 9:11:12 x 14:16:18 SD: 15.3728 cents 10:12:14:15:16:18:20 S SD: 13.1681 cents 11:13:15 x 17:20:22 SD: 10.5847 cents 12:14:16:18:19:21:24 SD: 7.1612 cents 17:20:23:26:27:30:34 SD: 5.8741 cents 22:26:30:33:35:39:44 SD: 4.8104 cents 23:27:31:35:36:41:46 SD: 3.8969 cents 28:33:38:42:44:50:56 SD: 2.6610 cents 40:47:54:60:63:71:80 SD: 2.2112 cents 45:53:61:68:71:80:90 SD: 2.2061 cents 46:54:62:69:73:82:92 SD: 2.0072 cents 52:61:70:78:82:93:104 SD: 1.5473 cents 57:67:77:86:90:102:114 SD: 0.8938 cents 69:81:93:104:109:123:138 SD: 0.6339 cents 97:114:131:146:153:173:194 SD: 0.5739 cents 126:148:170:190:199:225:252 SD: 0.3326 cents 178:209:240:268:281:318:356 SD: 0.3141 cents 223:262:301:336:352:398:446 SD: 0.2114 cents 275:323:371:414:434:491:550 SD: 0.2081 cents 304:357:410:458:480:543:608 SD: 0.1893 cents 332:390:448:500:524:593:664 SD: 0.1596 cents 401:471:541:604:633:716:802 SD: 0.0718 cents