Scala analysis: CD08_06_Egypt
Le deuxième salut - Mustafa Fahreddin Dede (isfahan, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 74.708 cents 74.708140 2: 295.144 cents 295.144239 3: 446.251 cents 446.251207 4: 482.553 cents 482.553136 5: 671.287 cents 671.286692 6: 773.049 cents 773.049125 7: 969.782 cents 969.781621 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 230.2184 cents 230.2184 1: 74.7081 cents 74.7081 2: 220.4361 cents 220.4361 3: 151.1070 cents 151.1070 4: 36.3019 cents 36.3019 5: 188.7336 cents 188.7336 6: 101.7624 cents 101.7624 7: 196.7325 cents 196.7325 8: 230.2184 cents 230.2184
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 36.30193 cents 1: 1 74.70814 cents 1: 1 101.76243 cents 1: 1 151.10697 cents 1: 1 188.73356 cents 1: 1 196.73250 cents 1: 1 220.43610 cents 1: 1 230.21838 cents 2: 1 187.40890 cents 2: 1 225.03548 cents 2: 1 290.49599 cents 2: 1 295.14424 cents 2: 1 298.49493 cents 2: 1 304.92652 cents 2: 1 371.54307 cents 2: 1 426.95087 cents 3: 1 326.79792 cents 3: 1 376.14245 cents 3: 1 407.84500 cents 3: 1 446.25121 cents 3: 1 487.22848 cents 3: 1 501.65901 cents 3: 1 525.36262 cents 3: 1 528.71331 cents 4: 1 477.90489 cents 4: 1 482.55314 cents 4: 1 523.53041 cents 4: 1 596.57855 cents 4: 1 603.42145 cents 4: 1 676.46959 cents 4: 1 717.44686 cents 4: 1 722.09511 cents 5: 1 671.28669 cents 5: 1 674.63738 cents 5: 1 698.34099 cents 5: 1 712.77152 cents 5: 1 753.74879 cents 5: 1 792.15500 cents 5: 1 823.85755 cents 5: 1 873.20208 cents 6: 1 773.04913 cents 6: 1 828.45693 cents 6: 1 895.07348 cents 6: 1 901.50507 cents 6: 1 904.85576 cents 6: 1 909.50401 cents 6: 1 974.96452 cents 6: 1 1012.59110 cents 7: 1 969.78162 cents 7: 1 979.56390 cents 7: 1 1003.26750 cents 7: 1 1011.26644 cents 7: 1 1048.89303 cents 7: 1 1098.23757 cents 7: 1 1125.29186 cents 7: 1 1163.69807 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 74.7 295.1 446.3 482.6 671.3 773.0 969.8 1200.0 74.7 : 220.4 371.5 407.8 596.6 698.3 895.1 1125.3 1200.0 295.1 : 151.1 187.4 376.1 477.9 674.6 904.9 979.6 1200.0 446.3 : 36.3 225.0 326.8 523.5 753.7 828.5 1048.9 1200.0 482.6 : 188.7 290.5 487.2 717.4 792.2 1012.6 1163.7 1200.0 671.3 : 101.8 298.5 528.7 603.4 823.9 975.0 1011.3 1200.0 773.0 : 196.7 427.0 501.7 722.1 873.2 909.5 1098.2 1200.0 969.8 : 230.2 304.9 525.4 676.5 712.8 901.5 1003.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 36.3019 .. 230.2184 cents 193.91645 cents 36.30193 cents 2: 187.4089 .. 426.9509 cents 239.54198 cents -42.80948 cents 3: 326.7979 .. 528.7133 cents 201.91539 cents -100.15296 cents 4: 477.9049 .. 722.0951 cents 244.19023 cents -50.80842 cents 5: 671.2867 .. 873.2021 cents 201.91539 cents -50.80842 cents 6: 773.0491 .. 1012.5911 cents 239.54198 cents -100.15296 cents 7: 969.7816 .. 1163.6981 cents 193.91645 cents -42.80948 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 36.30193 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 230.21838 cents Average / Smallest step : 4.132012 Largest / Average step : 1.534789 Largest / Smallest step : 6.341767 Median interval of one step : 169.92026 cents, amount: 0 Least squares average step : 138.80962 cents, oct.: 1110.47695 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : BGDAECFH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.32466 cents Scale diversity : 1.671378 Lumma stability : 0.060503 Lumma impropriety factor : 0.322951 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 1.32466 cents Number of recognisable fifths : 3, average 709.5198 cents Number of appreciable fifths : 2, average 705.5563 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 0 2 1 0 1 1 1 2 N T3 SD: 46.3157 c. M: 74.7081 c. 11: 1 2 1 0 2 1 2 2 N SD: 24.8983 c. M: 46.1895 c. 12: 1 2 2 0 2 1 2 2 N T3 SD: 28.1081 c. M:-53.7488 c. 13: 1 2 2 0 2 1 2 3 N SD: 25.8030 c. M: 46.7047 c. 14: 1 2 2 1 2 1 2 3 N T3 SD: 21.8531 c. M: 38.0014 c. 15: 1 3 2 0 2 2 2 3 N SD: 21.1902 c. M:-33.7488 c. 16: 1 3 2 0 3 1 3 3 N SD: 14.4469 c. M: 32.5531 c. 20: 1 4 2 1 3 2 3 4 N SD: 12.2828 c. M: 26.2512 c. 22: 1 4 3 1 3 2 4 4 N SD: 14.0996 c. M: 22.4170 c. 25: 1 5 3 1 4 2 4 5 N SD: 11.7029 c. M: 26.7081 c. 27: 2 5 3 1 4 2 5 5 N SD: 10.5519 c. M: 17.4936 c. 30: 2 5 4 1 5 2 5 6 N SD: 8.9780 c. M: 15.1442 c. 32: 2 6 4 1 5 3 5 6 N SD: 6.2454 c. M:-14.4509 c. 37: 2 7 5 1 6 3 6 7 N SD: 6.3081 c. M: 9.8433 c. 45: 3 8 6 1 7 4 7 9 N SD: 5.0629 c. M: 9.7816 c. 48: 3 9 6 1 8 4 8 9 N SD: 4.1772 c. M: 7.5531 c. 62: 4 11 8 2 10 5 10 12 N SD: 3.0944 c. M:-6.1327 c. 64: 4 12 8 2 10 5 11 12 N SD: 3.9002 c. M:-5.2184 c. 68: 4 13 8 2 11 6 11 13 N SD: 3.8103 c. M: 6.0825 c. 70: 4 13 9 2 11 6 11 14 N SD: 4.5270 c. M: 9.7816 c. 73: 5 13 9 2 12 6 12 14 N SD: 3.6044 c. M:-7.4836 c. 77: 5 14 10 2 12 7 12 15 N SD: 3.4648 c. M:-6.1717 c. 78: 5 14 10 2 13 6 13 15 N SD: 3.3784 c. M:-5.6364 c. 82: 5 15 10 3 13 7 13 16 N SD: 3.2849 c. M: 7.2268 c. 84: 5 16 10 3 13 7 14 16 N SD: 2.7660 c. M:-4.8558 c. 94: 6 17 12 3 15 8 15 18 N SD: 3.0268 c. M:-5.6743 c. 95: 6 17 12 3 15 8 16 18 N SD: 2.8279 c. M: 4.6179 c. 98: 6 18 12 3 16 8 16 19 N SD: 2.9794 c. M: 5.4349 c. 99: 6 18 13 3 15 9 16 19 N SD: 2.7569 c. M: 4.6200 c. 102: 6 19 13 3 16 9 16 20 N SD: 2.6617 c. M: 5.0757 c. 109: 7 20 14 3 17 9 18 21 N SD: 2.4105 c. M:-5.1249 c. 110: 7 20 14 3 18 9 18 21 N SD: 2.2346 c. M:-5.0769 c. 115: 7 21 15 3 18 10 19 22 N SD: 2.1580 c. M: 3.4606 c. 121: 8 22 15 4 19 10 20 23 N SD: 2.5727 c. M:-4.6307 c. 124: 8 22 16 4 19 11 20 24 N SD: 2.5387 c. M: 4.8217 c. 126: 8 23 16 4 20 10 21 24 N SD: 2.3307 c. M:-4.9038 c. 127: 8 23 16 4 20 11 21 24 N SD: 1.8021 c. M:-3.4467 c. 129: 8 24 16 4 20 11 21 25 N SD: 1.4411 c. M:-2.5302 c. 161: 10 30 20 5 25 14 26 31 N SD: 1.5388 c. M:-2.9924 c. 166: 10 31 21 5 26 14 27 32 N SD: 1.4480 c. M: 2.4190 c. 172: 11 31 22 5 27 15 28 33 N SD: 1.3340 c. M: 2.1210 c. 177: 11 33 22 5 28 15 29 34 N SD: 1.2757 c. M:-3.1608 c. 191: 12 35 24 6 30 16 31 37 N SD: 1.0022 c. M: 2.2424 c. 207: 13 38 26 6 33 17 34 40 N SD: 1.1696 c. M: 2.0346 c. 223: 14 41 28 7 35 19 36 43 N SD: 1.1665 c. M:-1.8388 c. 224: 14 41 28 7 35 19 37 43 N SD: 1.0271 c. M: 1.6438 c. 236: 15 43 30 7 37 20 39 45 N SD: 0.8811 c. M:-1.5630 c. 239: 15 44 30 7 38 20 39 46 N SD: 0.7991 c. M:-1.5167 c. 256: 16 47 32 8 40 22 42 49 N SD: 0.5527 c. M: 0.9742 c. 261: 16 48 33 8 41 22 43 50 N SD: 0.5850 c. M: 1.1449 c. 318: 20 58 40 10 50 27 52 61 N SD: 0.5960 c. M: 0.9682 c. 338: 21 62 43 10 53 29 55 65 N SD: 0.5837 c. M:-1.0861 c. 365: 23 67 46 11 57 31 60 70 N SD: 0.6374 c. M:-0.9083 c. 366: 23 67 46 11 58 31 60 70 N SD: 0.5809 c. M:-0.8445 c. 374: 23 69 47 11 59 32 61 72 N SD: 0.6785 c. M: 1.2697 c. 385: 24 71 48 12 60 33 63 74 N SD: 0.6189 c. M: 1.1568 c. 390: 24 72 49 12 61 33 64 75 N SD: 0.5251 c. M: 0.8620 c. 422: 26 78 53 13 66 36 69 81 N SD: 0.4930 c. M:-0.8592 c. 438: 27 81 55 13 69 37 72 84 N SD: 0.4391 c. M:-0.7462 c. 447: 28 82 56 14 70 38 73 86 N SD: 0.4358 c. M:-0.6683 c. 463: 29 85 58 14 73 39 76 89 N SD: 0.4242 c. M: 0.6949 c. 495: 31 91 62 15 78 42 81 95 N SD: 0.3094 c. M:-0.6133 c. 500: 31 92 63 15 79 42 82 96 N SD: 0.3057 c. M:-0.7133 c. 517: 32 95 65 16 81 44 85 99 N SD: 0.3851 c. M: 0.6032 c. 562: 35 103 71 17 88 48 92 108 N SD: 0.3659 c. M: 0.8241 c. 594: 37 109 75 18 93 51 97 114 N SD: 0.3496 c. M:-0.6882 c. 610: 38 112 77 18 96 52 100 117 N SD: 0.2891 c. M: 0.5859 c. 626: 39 115 79 19 98 53 103 120 N SD: 0.3291 c. M: 0.5252 c. 672: 42 123 85 20 106 57 110 129 N SD: 0.2745 c. M: 0.5014 c. 708: 44 130 89 22 111 60 116 136 N SD: 0.2912 c. M:-0.4977 c. 724: 45 133 91 22 114 61 119 139 N SD: 0.3002 c. M: 0.6734 c. 736: 46 135 93 22 116 62 121 141 N SD: 0.2935 c. M:-0.4879 c. 751: 47 138 94 23 118 64 123 144 N SD: 0.2992 c. M:-0.4616 c. 756: 47 139 95 23 119 64 124 145 N SD: 0.1078 c. M: 0.2195 c. 1318: 82 242 166 40 207 112 216 253 N SD: 0.1292 c. M: 0.2700 c. 1350: 84 248 170 41 212 115 221 259 N SD: 0.1266 c. M:-0.2842 c. 1366: 85 251 172 41 215 116 224 262 N SD: 0.1089 c. M: 0.2691 c. 1428: 89 262 180 43 225 121 234 274 N SD: 0.1159 c. M: 0.2002 c. 1557: 97 286 196 47 245 132 255 299 N SD: 0.0886 c. M: 0.2248 c. 1684: 105 309 212 51 265 143 276 323 N SD: 0.1073 c. M: 0.1704 c. 1793: 112 329 226 54 282 152 294 344 N SD: 0.1047 c. M:-0.2500 c. 1813: 113 333 228 55 285 154 297 348 N SD: 0.0898 c. M: 0.1398 c. 1818: 113 334 229 55 286 154 298 349 N SD: 0.0874 c. M: 0.1447 c. 1850: 115 340 233 56 291 157 303 355 N SD: 0.0721 c. M:-0.1401 c. 2054: 128 377 259 62 323 174 337 394 N SD: 0.0728 c. M: 0.1183 c. 2074: 129 381 261 63 326 176 340 398 N SD: 0.0821 c. M: 0.1567 c. 2106: 131 387 265 64 331 179 345 404 N SD: 0.0803 c. M:-0.1702 c. 2122: 132 390 267 64 334 180 348 407 N SD: 0.0767 c. M: 0.1780 c. 2310: 144 424 291 70 363 196 379 443 N SD: 0.0738 c. M: 0.1179 c. 2313: 144 425 291 70 364 196 379 444 N SD: 0.0649 c. M: 0.1318 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 15.3342 cents 3 x x x 4 x x 5:6 S SD: 28.9388 cents 4 x x 5 x 6 x 7:8 S SD: 16.8337 cents 5 x 6 x x 7:8:9:10 S SD: 22.1257 cents 6 x 7 x 8:9 x 11:12 SD: 18.2353 cents 7 x 8:9 x 10:11:12:14 S SD: 15.4054 cents 8 x x 10:11:12:13:14:16 S SD: 19.5902 cents 9:10:11 x 12:13:14:16:18 S SD: 18.3670 cents 10:11:12:13 x 15:16:18:20 SD: 16.6078 cents 11:12:13:14:15:16:17:19:22 SD: 13.1279 cents 12:13:14 x 16:18:19:21:24 SD: 11.5760 cents 13:14:15 x 17:19:20:23:26 SD: 11.7091 cents 14:15:17:18:19:21:22:25:28 SD: 11.2646 cents 15:16:18:19:20:22:23:26:30 SD: 8.7206 cents 16:17:19 x 21:24:25:28:32 SD: 6.3899 cents 17:18:20:22 x 25:27:30:34 SD: 5.9767 cents 19:20:23 x 25:28:30:33:38 SD: 6.4407 cents 20:21:24:26 x 29:31:35:40 SD: 5.6609 cents 21:22:25:27:28:31:33:37:42 SD: 3.2060 cents 23:24:27:30 x 34:36:40:46 SD: 3.7025 cents 26:27:31 x 34:38:41:46:52 SD: 5.0932 cents 27:28:32:35:36:40:42:47:54 SD: 3.1649 cents 29:30:34 x 38:43:45:51:58 SD: 4.9182 cents 30:31:36:39:40:44:47:53:60 SD: 4.6261 cents 31:32:37:40:41:46:48:54:62 SD: 4.0010 cents 32:33:38:41:42:47:50:56:64 SD: 3.8194 cents 37:39:44:48:49:55:58:65:74 SD: 3.0897 cents 38:40:45:49:50:56:59:67:76 SD: 2.9876 cents 41:43:49:53:54:60:64:72:82 SD: 2.6610 cents 43:45:51:56:57:63:67:75:86 SD: 2.3103 cents 44:46:52:57:58:65:69:77:88 SD: 1.3437 cents 65:68:77:84:86:96:102:114:130 SD: 1.2302 cents 85:89:101:110:112:125:133:149:170 SD: 1.1306 cents 91:95:108:118:120:134:142:159:182 SD: 0.8882 cents 108:113:128:140:143:159:169:189:216 SD: 0.8247 cents 112:117:133:145:148:165:175:196:224 SD: 0.3636 cents 156:163:185:202:206:230:244:273:312 SD: 0.3500 cents 249:260:295:322:329:367:389:436:498 SD: 0.2717 cents 296:309:351:383:391:436:463:518:592 SD: 0.2572 cents 317:331:376:410:419:467:495:555:634 SD: 0.2411 cents 361:377:428:467:477:532:564:632:722 SD: 0.1298 cents 473:494:561:612:625:697:739:828:946 SD: 0.1184 cents