Scala analysis: CD02_13_Egypt
Le jardin a été déserté / Ma nuit s'est prolongée - Darwîsh Muhammad al-Harîrî (awj, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 143.561 cents 143.561491 2: 343.354 cents 343.353835 3: 478.410 cents 478.410067 4: 677.929 cents 677.928962 5: 829.613 cents 829.613171 6: 1079.120 cents 1079.120309 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 120.8797 cents 120.8797 1: 143.5615 cents 143.5615 2: 199.7923 cents 199.7923 3: 135.0562 cents 135.0562 4: 199.5189 cents 199.5189 5: 151.6842 cents 151.6842 6: 249.5071 cents 249.5071 7: 120.8797 cents 120.8797
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 120.87969 cents 1: 1 135.05623 cents 1: 1 143.56149 cents 1: 1 151.68421 cents 1: 1 199.51889 cents 1: 1 199.79234 cents 1: 1 249.50714 cents 2: 1 264.44118 cents 2: 1 334.57513 cents 2: 1 334.84858 cents 2: 1 343.35383 cents 2: 1 351.20310 cents 2: 1 370.38683 cents 2: 1 401.19135 cents 3: 1 464.23353 cents 3: 1 478.41007 cents 3: 1 486.25934 cents 3: 1 513.94832 cents 3: 1 522.07104 cents 3: 1 534.36747 cents 3: 1 600.71024 cents 4: 1 599.28976 cents 4: 1 665.63253 cents 4: 1 677.92896 cents 4: 1 686.05168 cents 4: 1 713.74066 cents 4: 1 721.58993 cents 4: 1 735.76647 cents 5: 1 798.80865 cents 5: 1 829.61317 cents 5: 1 848.79690 cents 5: 1 856.64616 cents 5: 1 865.15142 cents 5: 1 865.42487 cents 5: 1 935.55882 cents 6: 1 950.49286 cents 6: 1 1000.20766 cents 6: 1 1000.48111 cents 6: 1 1048.31579 cents 6: 1 1056.43851 cents 6: 1 1064.94377 cents 6: 1 1079.12031 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 143.6 343.4 478.4 677.9 829.6 1079.1 1200.0 143.6 : 199.8 334.8 534.4 686.1 935.6 1056.4 1200.0 343.4 : 135.1 334.6 486.3 735.8 856.6 1000.2 1200.0 478.4 : 199.5 351.2 600.7 721.6 865.2 1064.9 1200.0 677.9 : 151.7 401.2 522.1 665.6 865.4 1000.5 1200.0 829.6 : 249.5 370.4 513.9 713.7 848.8 1048.3 1200.0 1079.1: 120.9 264.4 464.2 599.3 798.8 950.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 120.8797 .. 249.5071 cents 128.62745 cents 120.87969 cents 2: 264.4412 .. 401.1913 cents 136.75016 cents 14.93404 cents 3: 464.2335 .. 600.7102 cents 136.47672 cents 63.04218 cents 4: 599.2898 .. 735.7665 cents 136.47672 cents -1.42048 cents 5: 798.8087 .. 935.5588 cents 136.75016 cents 63.04218 cents 6: 950.4929 .. 1079.1203 cents 128.62745 cents 14.93404 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 120.87969 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 249.50714 cents Average / Smallest step : 1.418175 Largest / Average step : 1.455458 Largest / Smallest step : 2.064095 Median interval of one step : 151.68421 cents, amount: 1 Least squares average step : 171.42859 cents, oct.: 1200.00015 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : CFBEDGA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.42048 cents Scale diversity : 1.543221 Lumma stability : 0.331427 Lumma impropriety factor : 0.001184 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 0.27345 cents Number of recognisable fifths : 2, average 699.8962 cents Number of appreciable fifths : 1, average 713.7407 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 27.8710 c. M: 50.5489 c. Lebeng 10: 1 2 1 2 1 2 1 P M ME I SD: 19.6883 c. M:-42.0710 c. 13: 2 2 1 2 2 3 1 N T3 SD: 25.2616 c. M:-41.0539 c. 14: 2 2 2 2 2 3 1 P T3 SD: 24.2575 c. M:-35.8756 c. 16: 2 2 2 3 2 3 2 P D3 S SD: 22.6967 c. M: 43.3538 c. 17: 2 3 2 3 2 3 2 SP M ME I SD: 16.2218 c. M:-27.9534 c. Neutral Dorian, Maqamic-7 18: 2 3 2 3 2 4 2 P T3 SD: 14.6473 c. M: 29.6132 c. 20: 2 4 2 3 3 4 2 P SD: 13.4423 c. M: 23.5615 c. 22: 3 3 3 3 3 5 2 P SD: 15.2796 c. M: 23.3835 c. 23: 3 4 2 4 3 5 2 N SD: 12.0969 c. M:-21.8636 c. 25: 3 4 3 4 3 5 3 SP T3 SD: 10.7691 c. M: 23.1203 c. 27: 3 5 3 4 4 5 3 SP SD: 11.1176 c. M:-14.8313 c. 28: 3 5 3 5 3 6 3 P SD: 9.4747 c. M: 15.3275 c. 30: 4 5 3 5 4 6 3 P SD: 9.7306 c. M:-16.6462 c. 32: 4 5 4 5 4 7 3 P SD: 6.0760 c. M:-9.0899 c. 42: 5 7 5 7 5 9 4 P SD: 4.7700 c. M:-7.7853 c. 48: 6 8 5 8 6 10 5 P SD: 4.5370 c. M:-6.6462 c. 58: 7 10 6 10 7 12 6 P SD: 4.0744 c. M:-8.3703 c. 60: 7 10 7 10 7 13 6 P SD: 4.2078 c. M: 9.6132 c. 67: 8 11 8 11 8 14 7 SP SD: 3.7097 c. M: 5.7326 c. 68: 8 11 8 11 9 14 7 P SD: 4.3973 c. M: 8.0597 c. 73: 9 12 8 12 9 16 7 N SD: 4.3780 c. M: 7.6954 c. 76: 9 13 8 13 10 15 8 P SD: 4.1989 c. M:-7.2289 c. 78: 9 13 9 13 10 16 8 P SD: 2.9113 c. M: 5.1000 c. 81: 10 13 9 14 10 17 8 N SD: 3.0440 c. M:-4.5867 c. 90: 11 15 10 15 11 19 9 P SD: 2.2956 c. M:-3.3128 c. 101: 12 17 11 17 13 21 10 N SD: 1.7513 c. M: 3.1625 c. 108: 13 18 12 18 14 22 11 P SD: 1.6051 c. M:-3.7202 c. 111: 13 19 12 19 14 23 11 N SD: 2.5369 c. M:-3.1521 c. 117: 14 19 14 19 15 24 12 SP SD: 2.5176 c. M: 4.8923 c. 118: 14 20 13 20 15 24 12 P SD: 2.3559 c. M:-4.2851 c. 119: 14 20 13 20 15 25 12 N SD: 2.3465 c. M: 4.4605 c. 120: 14 20 14 20 15 25 12 P SD: 2.1271 c. M: 3.5615 c. 126: 15 21 14 21 16 26 13 P SD: 1.6196 c. M: 2.9298 c. 133: 16 22 15 22 17 28 13 N SD: 1.4899 c. M:-3.5865 c. 136: 16 23 15 23 17 28 14 P SD: 1.6602 c. M: 2.6497 c. 140: 17 23 16 23 18 29 14 P SD: 1.3146 c. M:-2.1528 c. 150: 18 25 17 25 19 31 15 P SD: 1.4090 c. M:-2.3868 c. 158: 19 26 18 26 20 33 16 P SD: 1.2248 c. M: 1.9796 c. 168: 20 28 19 28 21 35 17 P SD: 0.6057 c. M: 1.0417 c. 269: 32 45 30 45 34 56 27 N SD: 0.5452 c. M: 1.0866 c. 276: 33 46 31 46 35 57 28 P SD: 0.4734 c. M: 0.8594 c. 308: 37 51 35 51 39 64 31 P SD: 0.4364 c. M:-0.8107 c. 409: 49 68 46 68 52 85 41 N SD: 0.3681 c. M:-0.7047 c. 427: 51 71 48 71 54 89 43 N SD: 0.4602 c. M: 0.6583 c. 434: 52 72 49 72 55 90 44 P SD: 0.4106 c. M: 0.7793 c. 444: 53 74 50 74 56 92 45 P SD: 0.3547 c. M: 0.7419 c. 469: 56 78 53 78 59 98 47 N SD: 0.3976 c. M:-0.6238 c. 476: 57 79 54 79 60 99 48 P SD: 0.3185 c. M:-0.5815 c. 577: 69 96 65 96 73 120 58 N SD: 0.1495 c. M:-0.2558 c. 745: 89 124 84 124 94 155 75 N SD: 0.1526 c. M: 0.2666 c. 943: 113 157 106 157 119 196 95 N SD: 0.1808 c. M:-0.3319 c. 1011: 121 168 114 168 128 210 102 N SD: 0.1642 c. M: 0.3271 c. 1021: 122 170 115 170 129 212 103 N SD: 0.1555 c. M:-0.2297 c. 1101: 132 183 124 183 139 229 111 N SD: 0.1436 c. M:-0.3077 c. 1179: 141 196 133 196 149 245 119 N SD: 0.1685 c. M: 0.3513 c. 1202: 144 200 135 200 152 250 121 N SD: 0.1183 c. M: 0.2071 c. 1289: 154 215 145 214 163 268 130 N SD: 0.1476 c. M: 0.1945 c. 1322: 158 220 149 220 167 275 133 N SD: 0.1319 c. M: 0.2373 c. 1370: 164 228 154 228 173 285 138 N SD: 0.0846 c. M: 0.1619 c. 1646: 197 274 185 274 208 342 166 N SD: 0.0901 c. M: 0.1598 c. 1678: 201 279 189 279 212 349 169 N SD: 0.0799 c. M:-0.1811 c. 1846: 221 307 208 307 233 384 186 N SD: 0.0881 c. M: 0.1440 c. 1866: 223 311 210 310 236 388 188 N SD: 0.0787 c. M: 0.1531 c. 1947: 233 324 219 324 246 405 196 N SD: 0.0676 c. M: 0.1358 c. 2115: 253 352 238 352 267 440 213 N SD: 0.0768 c. M: 0.1122 c. 2174: 260 362 245 361 275 452 219 N SD: 0.0726 c. M:-0.1548 c. 2223: 266 370 250 370 281 462 224 N SD: 0.0693 c. M: 0.1375 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 12.0130 cents 3 x x 4 x 5 x 6 S SD: 19.3867 cents 4 x 5 x 6 x 7:8 S SD: 30.1948 cents 5 x 6 x 7:8:9:10 S SD: 23.5892 cents 6 x 7:8:9:10:11:12 S SD: 17.2361 cents 7:8 x 9:10:11:13:14 SD: 20.7376 cents 8:9:10:11:12:13:15:16 SD: 15.3750 cents 9:10:11:12:13:15:17:18 SD: 12.0332 cents 10:11:12:13:15:16:19:20 SD: 8.6581 cents 13:14:16:17:19:21:24:26 SD: 5.4217 cents 21:23:26:28:31:34:39:42 SD: 5.2791 cents 22:24:27:29:33:36:41:44 SD: 5.1161 cents 23:25:28:30:34:37:43:46 SD: 2.8891 cents 37:40:45:49:55:60:69:74 SD: 2.3887 cents 44:48:54:58:65:71:82:88 SD: 1.9409 cents 46:50:56:61:68:74:86:92 SD: 1.8839 cents 50:54:61:66:74:81:93:100 SD: 1.8449 cents 59:64:72:78:87:95:110:118 SD: 1.3510 cents 60:65:73:79:89:97:112:120 SD: 1.2140 cents 69:75:84:91:102:111:129:138 SD: 1.1983 cents 81:88:99:107:120:131:151:162 SD: 0.9382 cents 91:99:111:120:135:147:170:182 SD: 0.8824 cents 104:113:127:137:154:168:194:208 SD: 0.4839 cents 150:163:183:198:222:242:280:300 SD: 0.4747 cents 163:177:199:215:241:263:304:326 SD: 0.4291 cents 173:188:211:228:256:279:323:346 SD: 0.4283 cents 210:228:256:277:311:339:392:420 SD: 0.4178 cents 223:242:272:294:330:360:416:446 SD: 0.3185 cents 242:263:295:319:358:391:451:484 SD: 0.2629 cents 311:338:379:410:460:502:580:622 SD: 0.1979 cents 392:426:478:517:580:633:731:784 SD: 0.1400 cents 415:451:506:547:614:670:774:830 SD: 0.0999 cents