Scala analysis: CD07_10_Egypt
Danse lente - 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: 180.051 cents 180.051113 2: 247.977 cents 247.977039 3: 516.104 cents 516.103985 4: 723.726 cents 723.725732 5: 861.854 cents 861.853813 6: 976.442 cents 976.441649 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 223.5584 cents 223.5584 1: 180.0511 cents 180.0511 2: 67.9259 cents 67.9259 3: 268.1269 cents 268.1269 4: 207.6217 cents 207.6217 5: 138.1281 cents 138.1281 6: 114.5878 cents 114.5878 7: 223.5584 cents 223.5584
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 67.92593 cents 1: 1 114.58784 cents 1: 1 138.12808 cents 1: 1 180.05111 cents 1: 1 207.62175 cents 1: 1 223.55835 cents 1: 1 268.12695 cents 2: 1 247.97704 cents 2: 1 252.71592 cents 2: 1 336.05287 cents 2: 1 338.14619 cents 2: 1 345.74983 cents 2: 1 403.60946 cents 2: 1 475.74869 cents 3: 1 460.33766 cents 3: 1 471.53539 cents 3: 1 476.27427 cents 3: 1 516.10399 cents 3: 1 518.19730 cents 3: 1 543.67462 cents 3: 1 613.87677 cents 4: 1 586.12323 cents 4: 1 656.32538 cents 4: 1 681.80270 cents 4: 1 683.89601 cents 4: 1 723.72573 cents 4: 1 728.46461 cents 4: 1 739.66234 cents 5: 1 724.25131 cents 5: 1 796.39054 cents 5: 1 854.25017 cents 5: 1 861.85381 cents 5: 1 863.94713 cents 5: 1 947.28408 cents 5: 1 952.02296 cents 6: 1 931.87305 cents 6: 1 976.44165 cents 6: 1 992.37825 cents 6: 1 1019.94889 cents 6: 1 1061.87192 cents 6: 1 1085.41216 cents 6: 1 1132.07407 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 : 180.1 248.0 516.1 723.7 861.9 976.4 1200.0 180.1 : 67.9 336.1 543.7 681.8 796.4 1019.9 1200.0 248.0 : 268.1 475.7 613.9 728.5 952.0 1132.1 1200.0 516.1 : 207.6 345.7 460.3 683.9 863.9 931.9 1200.0 723.7 : 138.1 252.7 476.3 656.3 724.3 992.4 1200.0 861.9 : 114.6 338.1 518.2 586.1 854.3 1061.9 1200.0 976.4 : 223.6 403.6 471.5 739.7 947.3 1085.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 67.9259 .. 268.1269 cents 200.20102 cents 67.92593 cents 2: 247.9770 .. 475.7487 cents 227.77165 cents -20.14991 cents 3: 460.3377 .. 613.8768 cents 153.53911 cents -15.41103 cents 4: 586.1232 .. 739.6623 cents 153.53911 cents -27.75355 cents 5: 724.2513 .. 952.0230 cents 227.77165 cents -15.41103 cents 6: 931.8731 .. 1132.0741 cents 200.20102 cents -20.14991 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 67.92593 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 268.12695 cents Average / Smallest step : 2.523758 Largest / Average step : 1.564074 Largest / Smallest step : 3.947343 Median interval of one step : 180.05111 cents, amount: 1 Least squares average step : 169.19385 cents, oct.: 1184.35695 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : DAGECBF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.52557 cents Scale diversity : 1.691439 Lumma stability : 0.113210 Lumma impropriety factor : 0.082396 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 : 0.52557 cents Number of recognisable fifths : 0 Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 0 2 1 1 1 1 N T3 SD: 38.0261 c. M: 76.5485 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 41.0029 c. M: 61.8538 c. Pseudo Pelog, Pelogic-7, Antiionian 10: 1 1 2 2 1 1 2 P D3 S SD: 28.6233 c. M: 60.0511 c. 11: 2 0 3 2 1 1 2 N SD: 26.5738 c. M:-39.9106 c. 13: 2 1 3 2 1 2 2 P D3 SD: 26.6810 c. M:-38.9430 c. 14: 2 1 3 2 2 1 3 P T3 SD: 19.8446 c. M: 38.0114 c. 15: 2 1 3 3 2 1 3 N SD: 18.4494 c. M: 36.1040 c. 18: 3 1 4 3 2 2 3 P SD: 15.6505 c. M:-23.5584 c. 21: 3 1 5 4 2 2 4 N SD: 11.1328 c. M: 19.4056 c. 25: 4 1 6 4 3 2 5 N SD: 9.5374 c. M: 16.4416 c. 28: 4 2 6 5 3 3 5 P SD: 6.4733 c. M:-9.2726 c. 33: 5 2 7 6 4 3 6 N SD: 6.0376 c. M:-10.8735 c. 47: 7 3 10 8 6 4 9 N SD: 5.8697 c. M: 8.8321 c. 53: 8 3 12 9 6 5 10 N SD: 2.2344 c. M:-4.6507 c. 81: 12 5 18 14 9 8 15 N SD: 2.3716 c. M:-3.8748 c. 86: 13 5 19 15 10 8 16 N SD: 1.9334 c. M:-3.2625 c. 121: 18 7 27 21 14 11 23 N SD: 1.8563 c. M: 4.5408 c. 135: 20 8 30 23 16 13 25 N SD: 1.7769 c. M: 3.7257 c. 139: 21 8 31 24 16 13 26 N SD: 1.5029 c. M:-2.3827 c. 146: 22 8 33 25 17 14 27 N SD: 1.1767 c. M:-1.7042 c. 188: 28 11 42 32 22 18 35 N SD: 1.1692 c. M: 2.4491 c. 199: 30 11 45 34 23 19 37 N SD: 1.0616 c. M:-2.4890 c. 209: 31 12 47 36 24 20 39 N SD: 0.9580 c. M: 2.0607 c. 214: 32 12 48 37 25 20 40 N SD: 0.8896 c. M:-1.6976 c. 219: 33 12 49 38 25 21 41 N SD: 1.0370 c. M: 1.5798 c. 227: 34 13 51 39 26 22 42 N SD: 0.9853 c. M:-1.9577 c. 232: 35 13 52 40 27 22 43 N SD: 1.0413 c. M:-1.9393 c. 237: 36 13 53 41 27 23 44 N SD: 1.0001 c. M:-2.2274 c. 242: 36 14 54 42 28 23 45 N SD: 0.7248 c. M: 1.5387 c. 262: 39 15 59 45 30 25 49 N SD: 0.9211 c. M:-1.4533 c. 267: 40 15 60 46 31 25 50 N SD: 0.7329 c. M: 1.1608 c. 295: 44 17 66 51 34 28 55 N SD: 0.5124 c. M: 1.0681 c. 305: 46 17 68 53 35 29 57 N SD: 0.5276 c. M:-0.9325 c. 333: 50 19 74 58 38 32 62 N SD: 0.5095 c. M: 0.7887 c. 386: 58 22 86 67 44 37 72 N SD: 0.4747 c. M:-0.7276 c. 393: 59 22 88 68 45 38 73 N SD: 0.4612 c. M: 0.7851 c. 440: 66 25 98 76 51 42 82 N SD: 0.4584 c. M: 0.9985 c. 446: 67 25 100 77 51 43 83 N SD: 0.4299 c. M: 0.8673 c. 451: 68 25 101 78 52 43 84 N SD: 0.3991 c. M:-0.8802 c. 461: 69 26 103 80 53 44 86 N SD: 0.4347 c. M: 0.7027 c. 479: 72 27 107 83 55 46 89 N SD: 0.2787 c. M:-0.5938 c. 514: 77 29 115 89 59 49 96 N SD: 0.3425 c. M: 0.5662 c. 532: 80 30 119 92 61 51 99 N SD: 0.2894 c. M:-0.4374 c. 547: 82 31 122 95 63 52 102 N SD: 0.2767 c. M: 0.5647 c. 600: 90 34 134 104 69 57 112 N SD: 0.2089 c. M: 0.4416 c. 688: 103 39 154 119 79 66 128 N SD: 0.2499 c. M: 0.4000 c. 693: 104 39 155 120 80 66 129 N SD: 0.2423 c. M:-0.4838 c. 746: 112 42 167 129 86 71 139 N SD: 0.1993 c. M:-0.3446 c. 774: 116 44 173 134 89 74 144 N SD: 0.2040 c. M:-0.3053 c. 940: 141 53 210 163 108 90 175 N SD: 0.2036 c. M: 0.3593 c. 972: 146 55 217 168 112 93 181 N SD: 0.1554 c. M: 0.2689 c. 993: 149 56 222 172 114 95 185 N SD: 0.1399 c. M: 0.2429 c. 1025: 154 58 229 177 118 98 191 N SD: 0.1804 c. M:-0.2416 c. 1026: 154 58 229 178 118 98 191 N SD: 0.1743 c. M: 0.3145 c. 1046: 157 59 234 181 120 100 195 N SD: 0.1657 c. M: 0.2859 c. 1079: 162 61 241 187 124 103 201 N SD: 0.1195 c. M:-0.2780 c. 1214: 182 69 271 210 140 116 226 N SD: 0.1296 c. M: 0.1672 c. 1267: 190 72 283 219 146 121 236 N SD: 0.0940 c. M:-0.1682 c. 1572: 236 89 351 272 181 150 293 N SD: 0.0795 c. M:-0.1146 c. 1718: 258 97 384 297 198 164 320 N SD: 0.0829 c. M:-0.1584 c. 1867: 280 106 417 323 215 178 348 N SD: 0.0752 c. M:-0.1215 c. 2207: 331 125 493 382 254 211 411 N SD: 0.0661 c. M: 0.1094 c. 2260: 339 128 505 391 260 216 421 N SD: 0.0382 c. M: 0.0839 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: 10.8854 cents 3 x x 4 x 5 x 6 S SD: 9.6183 cents 4 x x 5:6 x 7:8 S SD: 32.9559 cents 5 x 6:7 x 8:9:10 S SD: 22.8055 cents 6 x 7:8:9:10:11:12 S SD: 13.9255 cents 7 x 8:9:11 x 12:14 SD: 22.0690 cents 8:9 x 11:12:13:14:16 SD: 8.8129 cents 9:10 x 12:14:15:16:18 S SD: 9.0074 cents 12:13:14:16:18:20:21:24 S SD: 8.3812 cents 14 x 16:19:21:23:25:28 SD: 6.8089 cents 15 x 17:20:23:25:26:30 SD: 8.5983 cents 16:18 x 22:24:26:28:32 SD: 8.8129 cents 17:19:20:23:26:28:30:34 SD: 5.5593 cents 19:21:22:26:29:31:33:38 SD: 5.5454 cents 20:22:23:27:30:33:35:40 SD: 4.1219 cents 25:28:29:34:38:41:44:50 SD: 3.6147 cents 34:38:39:46:52:56:60:68 SD: 3.2239 cents 37:41:43:50:56:61:65:74 SD: 2.1876 cents 45:50:52:61:68:74:79:90 SD: 2.0621 cents 46:51:53:62:70:76:81:92 SD: 1.3094 cents 83:92:96:112:126:137:146:166 SD: 1.1214 cents 90:100:104:121:137:148:158:180 SD: 0.9396 cents 98:109:113:132:149:161:172:196 SD: 0.8361 cents 110:122:127:148:167:181:193:220 SD: 0.6014 cents 129:143:149:174:196:212:227:258 SD: 0.5777 cents 144:160:166:194:219:237:253:288 SD: 0.5437 cents 156:173:180:210:237:257:274:312 SD: 0.4694 cents 164:182:189:221:249:270:288:328 SD: 0.4613 cents 181:201:209:244:275:298:318:362 SD: 0.3653 cents 202:224:233:272:307:332:355:404 SD: 0.3651 cents 228:253:263:307:346:375:401:456 SD: 0.3389 cents 239:265:276:322:363:393:420:478 SD: 0.2844 cents 273:303:315:368:415:449:480:546 SD: 0.2578 cents 285:316:329:384:433:469:501:570 SD: 0.2223 cents 293:325:338:395:445:482:515:586 SD: 0.1973 cents 383:425:442:516:582:630:673:766 SD: 0.1296 cents