Scala analysis: CD04_08_Egypt
Suite - Dâwûd Khudr Husnî (zunjuran, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 323.197 cents 323.197373 2: 381.196 cents 381.196006 3: 499.963 cents 499.962760 4: 705.507 cents 705.506703 5: 909.068 cents 909.067826 6: 982.101 cents 982.100689 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 217.8993 cents 217.8993 1: 323.1974 cents 323.1974 2: 57.9986 cents 57.9986 3: 118.7668 cents 118.7668 4: 205.5439 cents 205.5439 5: 203.5611 cents 203.5611 6: 73.0329 cents 73.0329 7: 217.8993 cents 217.8993
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 57.99863 cents 1: 1 73.03286 cents 1: 1 118.76675 cents 1: 1 203.56112 cents 1: 1 205.54394 cents 1: 1 217.89931 cents 1: 1 323.19737 cents 2: 1 176.76539 cents 2: 1 276.59399 cents 2: 1 290.93217 cents 2: 1 324.31070 cents 2: 1 381.19601 cents 2: 1 409.10507 cents 2: 1 541.09668 cents 3: 1 382.30933 cents 3: 1 482.13793 cents 3: 1 494.49330 cents 3: 1 499.96276 cents 3: 1 527.87182 cents 3: 1 599.09532 cents 3: 1 614.12955 cents 4: 1 585.87045 cents 4: 1 600.90468 cents 4: 1 672.12818 cents 4: 1 700.03724 cents 4: 1 705.50670 cents 4: 1 717.86207 cents 4: 1 817.69067 cents 5: 1 658.90332 cents 5: 1 790.89493 cents 5: 1 818.80399 cents 5: 1 875.68930 cents 5: 1 909.06783 cents 5: 1 923.40601 cents 5: 1 1023.23461 cents 6: 1 876.80263 cents 6: 1 982.10069 cents 6: 1 994.45606 cents 6: 1 996.43888 cents 6: 1 1081.23325 cents 6: 1 1126.96714 cents 6: 1 1142.00137 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 : 323.2 381.2 500.0 705.5 909.1 982.1 1200.0 323.2 : 58.0 176.8 382.3 585.9 658.9 876.8 1200.0 381.2 : 118.8 324.3 527.9 600.9 818.8 1142.0 1200.0 500.0 : 205.5 409.1 482.1 700.0 1023.2 1081.2 1200.0 705.5 : 203.6 276.6 494.5 817.7 875.7 994.5 1200.0 909.1 : 73.0 290.9 614.1 672.1 790.9 996.4 1200.0 982.1 : 217.9 541.1 599.1 717.9 923.4 1127.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 57.9986 .. 323.1974 cents 265.19874 cents 57.99863 cents 2: 176.7654 .. 541.0967 cents 364.33130 cents -146.43199 cents 3: 382.3093 .. 614.1295 cents 231.82022 cents -158.78735 cents 4: 585.8705 .. 817.6907 cents 231.82022 cents -28.25909 cents 5: 658.9033 .. 1023.2346 cents 364.33130 cents -158.78735 cents 6: 876.8026 .. 1142.0014 cents 265.19874 cents -146.43199 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 57.99863 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 323.19737 cents Average / Smallest step : 2.955735 Largest / Average step : 1.885318 Largest / Smallest step : 5.572500 Median interval of one step : 203.56112 cents, amount: 1 Least squares average step : 173.18177 cents, oct.: 1212.27239 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : GACEDBF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.11332 cents Scale diversity : 1.683182 Lumma stability : 0.096664 Lumma impropriety factor : 0.532248 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 : 1.11332 cents Number of recognisable fifths : 3, average 707.8020 cents Number of appreciable fifths : 2, average 702.7720 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 2 0 1 1 1 1 1 N T3 SD: 32.3132 c. M: 51.9250 c. 10: 3 0 1 2 2 0 2 N SD: 28.0173 c. M:-50.9322 c. 12: 3 1 1 2 2 1 2 N SD: 13.7563 c. M: 23.1974 c. Mela Vagadhisvari, Raga Bhogachayanata, Nandkauns, Ganavaridhi, Chayanata, Bluesy Rock 'n Roll 21: 6 1 2 3 4 1 4 N SD: 14.5313 c. M: 19.7924 c. 22: 6 1 2 4 4 1 4 N SD: 7.9580 c. M:-18.2049 c. 26: 7 1 3 4 5 1 5 N SD: 10.2750 c. M:-14.0091 c. 29: 8 1 3 5 5 2 5 N SD: 6.2918 c. M:-11.0028 c. 34: 9 2 3 6 6 2 6 N SD: 5.6808 c. M:-8.5792 c. 41: 11 2 4 7 7 3 7 N SD: 5.2079 c. M:-13.0213 c. 44: 12 2 4 8 7 3 8 N SD: 5.2660 c. M: 9.0678 c. 48: 13 2 5 8 8 3 9 N SD: 5.4065 c. M: 9.0678 c. 53: 14 3 5 9 9 3 10 N SD: 4.6760 c. M: 8.5158 c. 59: 16 3 6 10 10 3 11 N SD: 5.5753 c. M:-8.5118 c. 60: 16 3 6 10 10 4 11 N SD: 4.2865 c. M: 9.0678 c. 61: 16 3 6 11 10 4 11 N SD: 5.6027 c. M: 8.4433 c. 62: 17 3 6 11 10 4 11 N SD: 5.5765 c. M:-10.6223 c. 63: 17 3 6 11 11 4 11 N SD: 4.1522 c. M:-8.3755 c. 66: 18 3 6 12 11 4 12 N SD: 3.9981 c. M: 9.0537 c. 67: 18 3 7 11 12 4 12 N SD: 3.8850 c. M: 6.9992 c. 70: 19 3 7 12 12 4 13 N SD: 2.9895 c. M: 4.9578 c. 82: 22 4 8 14 14 5 15 N SD: 1.8087 c. M: 3.0677 c. 111: 30 5 11 19 19 7 20 N SD: 1.9975 c. M: 2.8176 c. 116: 31 6 11 20 20 7 21 N SD: 1.9518 c. M: 3.4110 c. 141: 38 7 14 24 24 8 26 N SD: 1.7948 c. M: 3.3773 c. 144: 39 7 14 25 24 9 26 N SD: 1.5977 c. M:-2.8266 c. 148: 40 7 15 25 25 9 27 N SD: 1.2399 c. M:-2.7399 c. 160: 43 8 16 27 27 10 29 N SD: 1.2817 c. M:-2.5372 c. 170: 46 8 17 29 29 10 31 N SD: 1.0040 c. M:-1.5204 c. 182: 49 9 18 31 31 11 33 N SD: 0.7146 c. M:-1.2216 c. 226: 61 11 22 39 38 14 41 N SD: 0.7704 c. M:-1.1049 c. 252: 68 12 25 43 43 15 46 N SD: 0.5996 c. M: 1.1483 c. 264: 71 13 26 45 45 16 48 N SD: 0.4802 c. M: 0.9612 c. 391: 105 19 39 67 66 24 71 N SD: 0.5235 c. M: 0.9467 c. 396: 107 19 39 68 67 24 72 N SD: 0.5166 c. M:-1.0451 c. 408: 110 20 40 70 69 25 74 N SD: 0.4949 c. M:-1.1569 c. 413: 111 20 41 71 70 25 75 N SD: 0.4250 c. M: 0.6792 c. 434: 117 21 43 74 74 26 79 N SD: 0.4353 c. M:-0.6096 c. 475: 128 23 47 81 81 29 86 N SD: 0.4104 c. M: 0.6646 c. 478: 129 23 47 82 81 29 87 N SD: 0.3910 c. M:-0.6520 c. 495: 133 24 49 85 84 30 90 N SD: 0.4395 c. M: 0.7731 c. 516: 139 25 51 88 88 31 94 N SD: 0.4357 c. M: 0.8555 c. 519: 140 25 51 89 88 32 94 N SD: 0.4142 c. M:-0.5583 c. 557: 150 27 55 95 95 34 101 N SD: 0.4101 c. M: 1.0184 c. 561: 151 27 56 96 95 34 102 N SD: 0.3359 c. M:-0.5720 c. 595: 160 29 59 102 101 36 108 N SD: 0.3188 c. M:-0.5120 c. 639: 172 31 63 110 108 39 116 N SD: 0.2942 c. M:-0.5966 c. 643: 173 31 64 110 109 39 117 N SD: 0.3002 c. M: 0.4806 c. 665: 179 32 66 114 113 40 121 N SD: 0.2960 c. M: 0.4466 c. 677: 182 33 67 116 115 41 123 N SD: 0.2544 c. M: 0.5977 c. 787: 212 38 78 135 133 48 143 N SD: 0.2260 c. M:-0.4653 c. 799: 215 39 79 137 135 49 145 N SD: 0.2766 c. M: 0.4320 c. 809: 218 39 80 139 137 49 147 N SD: 0.2392 c. M:-0.5502 c. 816: 220 39 81 140 138 50 148 N SD: 0.2603 c. M:-0.3756 c. 821: 221 40 81 141 139 50 149 N SD: 0.2247 c. M:-0.4616 c. 825: 222 40 82 141 140 50 150 N SD: 0.2197 c. M:-0.4009 c. 854: 230 41 85 146 145 52 155 N SD: 0.1937 c. M: 0.3998 c. 866: 233 42 86 148 147 53 157 N SD: 0.2279 c. M:-0.3473 c. 869: 234 42 86 149 147 53 158 N SD: 0.2083 c. M: 0.4372 c. 891: 240 43 88 153 151 54 162 N SD: 0.1777 c. M: 0.2995 c. 903: 243 44 89 155 153 55 164 N SD: 0.1824 c. M: 0.2950 c. 998: 269 48 99 171 169 61 181 N SD: 0.2018 c. M:-0.3049 c. 1036: 279 50 103 177 176 63 188 N SD: 0.1936 c. M:-0.4233 c. 1039: 280 50 103 178 176 63 189 N SD: 0.1894 c. M: 0.3875 c. 1051: 283 51 104 180 178 64 191 N SD: 0.1408 c. M: 0.2191 c. 1073: 289 52 106 184 182 65 195 N SD: 0.1309 c. M: 0.1808 c. 1080: 291 52 107 185 183 66 196 N SD: 0.1044 c. M: 0.1789 c. 1262: 340 61 125 216 214 77 229 N SD: 0.1096 c. M:-0.1957 c. 1344: 362 65 133 230 228 82 244 N SD: 0.0829 c. M: 0.1496 c. 1757: 473 85 174 301 298 107 319 N SD: 0.0673 c. M: 0.1467 c. 1927: 519 93 191 330 327 117 350 N SD: 0.0700 c. M:-0.1174 c. 2009: 541 97 199 344 341 122 365 N SD: 0.0734 c. M: 0.1196 c. 2153: 580 104 213 369 365 131 391 N SD: 0.0544 c. M:-0.1134 c. 2191: 590 106 217 375 372 133 398 N SD: 0.0697 c. M:-0.1061 c. 2235: 602 108 221 383 379 136 406 N SD: 0.0577 c. M: 0.0970 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: 1.7759 cents 3 x x 4 x 5 x 6 S SD: 8.2611 cents 4 x 5 x 6 x 7:8 S SD: 3.6659 cents 5:6 x 7 x 8:9:10 S SD: 26.2519 cents 6:7 x 8:9:10:11:12 S SD: 15.2057 cents 7:8:9 x 11:12 x 14 SD: 26.7417 cents 8 x 10:11:12 x 14:16 S SD: 10.6815 cents 9:11 x 12:14:15:16:18 SD: 11.6970 cents 10:12 x 13:15:17:18:20 SD: 9.8802 cents 11:13:14:15:17 x 19:22 SD: 14.3833 cents 12:14:15:16:18:20:21:24 S SD: 9.0372 cents 13 x 16:17:20:22:23:26 SD: 9.7067 cents 14:17 x 19:21:24:25:28 SD: 7.5550 cents 16:19:20:21:24:27:28:32 SD: 5.9531 cents 18:22 x 24:27:30:32:36 SD: 6.2554 cents 20:24:25:27:30:34:35:40 SD: 3.9057 cents 22 x 27:29:33:37:39:44 SD: 6.1412 cents 23:28:29:31:35:39:41:46 SD: 6.0936 cents 24:29:30:32:36:41:42:48 SD: 3.3918 cents 29:35:36:39:44:49:51:58 SD: 3.2182 cents 30:36:37:40:45:51:53:60 SD: 3.2047 cents 33:40:41:44:50:56:58:66 SD: 2.8472 cents 38:46:47:51:57:64:67:76 SD: 2.7721 cents 39:47:49:52:59:66:69:78 SD: 2.7062 cents 42:51:52:56:63:71:74:84 SD: 2.5435 cents 44:53:55:59:66:74:78:88 SD: 2.3299 cents 45:54:56:60:68:76:79:90 SD: 2.1015 cents 48:58:60:64:72:81:85:96 SD: 1.5931 cents 68:82:85:91:102:115:120:136 SD: 1.1166 cents 77:93:96:103:116:130:136:154 SD: 1.0664 cents 93:112:116:124:140:157:164:186 SD: 0.6510 cents 117:141:146:156:176:198:206:234 SD: 0.6500 cents 155:187:193:207:233:262:273:310 SD: 0.4738 cents 191:230:238:255:287:323:337:382 SD: 0.2821 cents 272:328:339:363:409:460:480:544 SD: 0.2554 cents 292:352:364:390:439:494:515:584 SD: 0.2451 cents 308:371:384:411:463:521:543:616 SD: 0.2407 cents 326:393:406:435:490:551:575:652 SD: 0.2221 cents 346:417:431:462:520:585:610:692 SD: 0.1703 cents 394:475:491:526:592:666:695:788 SD: 0.1451 cents 439:529:547:586:660:742:774:878 SD: 0.1243 cents 487:587:607:650:732:823:859:974 SD: 0.1191 cents 507:611:632:677:762:857:894:1014 SD: 0.1180 cents 511:616:637:682:768:864:901:1022 SD: 0.0928 cents