Scala analysis: CD07_08_Egypt
Danse Alexandrine - Taha Abû Mandûr (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 145.795 cents 145.794584 2: 351.181 cents 351.180893 3: 571.591 cents 571.591345 4: 739.320 cents 739.320453 5: 879.741 cents 879.741498 6: 976.308 cents 976.308162 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 223.6918 cents 223.6918 1: 145.7946 cents 145.7946 2: 205.3863 cents 205.3863 3: 220.4105 cents 220.4105 4: 167.7291 cents 167.7291 5: 140.4210 cents 140.4210 6: 96.5667 cents 96.5667 7: 223.6918 cents 223.6918
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 96.56666 cents 1: 1 140.42104 cents 1: 1 145.79458 cents 1: 1 167.72911 cents 1: 1 205.38631 cents 1: 1 220.41045 cents 1: 1 223.69184 cents 2: 1 236.98771 cents 2: 1 308.15015 cents 2: 1 320.25850 cents 2: 1 351.18089 cents 2: 1 369.48642 cents 2: 1 388.13956 cents 2: 1 425.79676 cents 3: 1 404.71682 cents 3: 1 460.67955 cents 3: 1 466.05309 cents 3: 1 528.56061 cents 3: 1 571.59134 cents 3: 1 574.87273 cents 3: 1 593.52587 cents 4: 1 606.47413 cents 4: 1 625.12727 cents 4: 1 628.40866 cents 4: 1 671.43939 cents 4: 1 733.94691 cents 4: 1 739.32045 cents 4: 1 795.28318 cents 5: 1 774.20324 cents 5: 1 811.86044 cents 5: 1 830.51358 cents 5: 1 848.81911 cents 5: 1 879.74150 cents 5: 1 891.84985 cents 5: 1 963.01229 cents 6: 1 976.30816 cents 6: 1 979.58955 cents 6: 1 994.61369 cents 6: 1 1032.27089 cents 6: 1 1054.20542 cents 6: 1 1059.57896 cents 6: 1 1103.43334 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 : 145.8 351.2 571.6 739.3 879.7 976.3 1200.0 145.8 : 205.4 425.8 593.5 733.9 830.5 1054.2 1200.0 351.2 : 220.4 388.1 528.6 625.1 848.8 994.6 1200.0 571.6 : 167.7 308.2 404.7 628.4 774.2 979.6 1200.0 739.3 : 140.4 237.0 460.7 606.5 811.9 1032.3 1200.0 879.7 : 96.6 320.3 466.1 671.4 891.8 1059.6 1200.0 976.3 : 223.7 369.5 574.9 795.3 963.0 1103.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 96.5667 .. 223.6918 cents 127.12517 cents 96.56666 cents 2: 236.9877 .. 425.7968 cents 188.80905 cents 13.29587 cents 3: 404.7168 .. 593.5259 cents 188.80905 cents -21.07994 cents 4: 606.4741 .. 795.2832 cents 188.80905 cents 12.94826 cents 5: 774.2032 .. 963.0123 cents 188.80905 cents -21.07994 cents 6: 976.3082 .. 1103.4333 cents 127.12517 cents 13.29587 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 96.56666 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 223.69184 cents Average / Smallest step : 1.775236 Largest / Average step : 1.304869 Largest / Smallest step : 2.316450 Median interval of one step : 167.72911 cents, amount: 1 Least squares average step : 172.69120 cents, oct.: 1208.83843 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : CEFDBAG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 12.94826 cents Scale diversity : 1.657652 Lumma stability : 0.193894 Lumma impropriety factor : 0.035133 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 : 3.28139 cents Number of recognisable fifths : 0 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: 38.0340 c. M: 57.3056 c. Lebeng 8: 1 1 2 1 1 1 1 P M ME S SD: 36.6434 c. M:-73.6918 c. 10: 1 2 2 1 1 1 2 N D3 SD: 23.2035 c. M: 39.7415 c. 11: 1 2 2 2 1 1 2 N D3 SD: 21.6225 c. M: 36.7037 c. 15: 2 2 3 2 2 1 3 P T3 SD: 16.6806 c. M: 31.1809 c. 16: 2 3 3 2 2 1 3 N SD: 16.5541 c. M:-28.4087 c. 21: 2 4 4 3 2 2 4 N SD: 15.1617 c. M: 31.5089 c. 23: 3 4 4 3 3 2 4 P SD: 9.8080 c. M:-14.9962 c. 27: 3 5 5 4 3 2 5 N SD: 8.9611 c. M:-16.2351 c. 31: 4 5 6 4 4 2 6 N SD: 7.2863 c. M:-10.5811 c. 34: 4 6 6 5 4 3 6 P SD: 5.6613 c. M:-11.9271 c. 42: 5 7 8 6 5 3 8 N SD: 4.6281 c. M: 8.3238 c. 52: 6 9 10 7 6 4 10 N SD: 4.8733 c. M: 7.3330 c. 55: 7 9 10 8 6 5 10 P SD: 4.7341 c. M: 7.0142 c. 57: 7 10 10 8 7 4 11 N SD: 4.5658 c. M: 7.8871 c. 59: 7 10 11 8 7 5 11 N SD: 4.1885 c. M: 7.1171 c. 65: 8 11 12 9 8 5 12 N SD: 2.6933 c. M:-6.4123 c. 71: 9 12 13 10 8 6 13 N SD: 3.7551 c. M:-6.3181 c. 75: 9 13 14 10 9 6 14 N SD: 2.2205 c. M:-4.4087 c. 109: 13 19 20 15 13 9 20 N SD: 1.9042 c. M:-3.5084 c. 113: 14 19 21 16 13 9 21 N SD: 2.1347 c. M:-4.0424 c. 117: 14 20 22 16 14 9 22 N SD: 2.0163 c. M:-2.7676 c. 123: 15 21 23 17 14 10 23 N SD: 1.8668 c. M:-4.0184 c. 130: 16 22 24 18 15 11 24 N SD: 1.5858 c. M: 2.8184 c. 151: 18 26 28 21 18 12 28 N SD: 1.5715 c. M: 2.7482 c. 157: 19 27 29 22 18 13 29 N SD: 1.3253 c. M:-2.0808 c. 172: 21 29 32 24 20 14 32 N SD: 0.9961 c. M: 2.3437 c. 187: 23 32 34 26 22 15 35 N SD: 1.1688 c. M:-1.7990 c. 188: 23 32 35 26 22 15 35 N SD: 1.3012 c. M:-2.8767 c. 195: 24 33 36 27 23 16 36 N SD: 1.1787 c. M:-2.1534 c. 198: 24 34 36 28 23 16 37 N SD: 0.8480 c. M: 1.8944 c. 221: 27 38 40 31 26 18 41 N SD: 1.0532 c. M:-1.7603 c. 229: 28 39 42 32 27 18 43 N SD: 0.7834 c. M: 1.6357 c. 240: 29 41 44 34 28 19 45 N SD: 0.9855 c. M: 1.5913 c. 247: 30 42 46 34 29 20 46 N SD: 0.9023 c. M:-1.6880 c. 256: 31 44 47 36 30 20 48 N SD: 0.9371 c. M:-1.5085 c. 263: 32 45 48 37 31 21 49 N SD: 0.5877 c. M: 1.2491 c. 273: 33 47 50 38 32 22 51 N SD: 0.5541 c. M: 0.8589 c. 338: 41 58 62 47 40 27 63 N SD: 0.4499 c. M: 0.8589 c. 386: 47 66 71 54 45 31 72 N SD: 0.3057 c. M:-0.5759 c. 584: 71 100 107 82 68 47 109 N SD: 0.2674 c. M:-0.4056 c. 649: 79 111 119 91 76 52 121 N SD: 0.2332 c. M:-0.3818 c. 659: 80 113 121 92 77 53 123 N SD: 0.1884 c. M: 0.2839 c. 724: 88 124 133 101 85 58 135 N SD: 0.1878 c. M:-0.3690 c. 865: 105 148 159 121 101 70 161 N SD: 0.1789 c. M:-0.3392 c. 922: 112 158 169 129 108 74 172 N SD: 0.1429 c. M:-0.2291 c. 1079: 131 185 198 151 126 87 201 N SD: 0.1545 c. M:-0.2556 c. 1094: 133 187 201 153 128 88 204 N SD: 0.0913 c. M: 0.1754 c. 1480: 180 253 272 207 173 119 276 N SD: 0.0939 c. M:-0.1514 c. 1589: 193 272 292 222 186 128 296 N SD: 0.0731 c. M:-0.1550 c. 1753: 213 300 322 245 205 141 327 N SD: 0.0710 c. M: 0.1530 c. 1787: 217 306 328 250 209 144 333 N SD: 0.0682 c. M: 0.1308 c. 1818: 221 311 334 254 213 146 339 N SD: 0.0664 c. M:-0.1265 c. 2125: 258 364 390 297 249 171 396 N SD: 0.0849 c. M: 0.1205 c. 2139: 260 366 393 299 250 172 399 N SD: 0.0827 c. M: 0.1511 c. 2173: 264 372 399 304 254 175 405 N SD: 0.0523 c. M:-0.1181 c. 2248: 273 385 413 314 263 181 419 N SD: 0.0579 c. M:-0.1168 c. 2297: 279 393 422 321 269 185 428 N SD: 0.0728 c. M: 0.1143 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: 18.6827 cents 3 x x 4 x 5 x 6 S SD: 24.5637 cents 4 x 5 x 6 x 7:8 S SD: 12.9578 cents 5 x 6:7 x 8:9:10 S SD: 17.2631 cents 6 x 7:8:9:10:11:12 S SD: 23.1371 cents 7:8:9:10:11 x 12:14 S SD: 23.6667 cents 8:9:10:11:12:13:14:16 S SD: 12.7876 cents 9:10:11:13:14:15:16:18 SD: 11.6502 cents 10:11:12:14:15:17:18:20 SD: 11.3977 cents 12:13:15:17:18:20:21:24 SD: 8.7441 cents 13:14:16:18:20:22:23:26 SD: 5.6765 cents 21:23:26:29:32:35:37:42 SD: 4.0070 cents 23:25:28:32:35:38:40:46 SD: 3.8180 cents 26:28:32:36:40:43:46:52 SD: 3.7566 cents 32:35:39:45:49:53:56:64 SD: 3.5220 cents 33:36:40:46:51:55:58:66 SD: 3.4713 cents 35:38:43:49:54:58:62:70 SD: 3.1970 cents 36:39:44:50:55:60:63:72 SD: 1.9341 cents 45:49:55:63:69:75:79:90 SD: 1.8179 cents 54:59:66:75:83:90:95:108 SD: 1.6075 cents 58:63:71:81:89:96:102:116 SD: 1.5086 cents 66:72:81:92:101:110:116:132 SD: 1.2391 cents 71:77:87:99:109:118:125:142 SD: 1.1167 cents 79:86:97:110:121:131:139:158 SD: 0.9428 cents 92:100:113:128:141:153:162:184 SD: 0.8568 cents 103:112:126:143:158:171:181:206 SD: 0.7113 cents 115:125:141:160:176:191:202:230 SD: 0.5489 cents 148:161:181:206:227:246:260:296 SD: 0.4558 cents 169:184:207:235:259:281:297:338 SD: 0.2497 cents 240:261:294:334:368:399:422:480 SD: 0.1916 cents 355:386:435:494:544:590:624:710 SD: 0.1803 cents 396:431:485:551:607:658:696:792 SD: 0.1579 cents 409:445:501:569:627:680:719:818 SD: 0.0950 cents 524:570:642:729:803:871:921:1048 SD: 0.0787 cents