Scala analysis: CD07_11_Egypt
Danse, rythme Ayyûb - 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: 102.887 cents 102.887166 2: 351.098 cents 351.097845 3: 485.426 cents 485.425887 4: 704.205 cents 704.204859 5: 873.663 cents 873.663052 6: 964.723 cents 964.722811 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 235.2772 cents 235.2772 1: 102.8872 cents 102.8872 2: 248.2107 cents 248.2107 3: 134.3280 cents 134.3280 4: 218.7790 cents 218.7790 5: 169.4582 cents 169.4582 6: 91.0598 cents 91.0598 7: 235.2772 cents 235.2772
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 91.05976 cents 1: 1 102.88717 cents 1: 1 134.32804 cents 1: 1 169.45819 cents 1: 1 218.77897 cents 1: 1 235.27719 cents 1: 1 248.21068 cents 2: 1 260.51795 cents 2: 1 326.33695 cents 2: 1 338.16436 cents 2: 1 351.09784 cents 2: 1 353.10701 cents 2: 1 382.53872 cents 2: 1 388.23717 cents 3: 1 429.22411 cents 3: 1 479.29692 cents 3: 1 485.42589 cents 3: 1 495.79514 cents 3: 1 522.56521 cents 3: 1 586.37503 cents 3: 1 601.31769 cents 4: 1 598.68231 cents 4: 1 613.62497 cents 4: 1 677.43479 cents 4: 1 704.20486 cents 4: 1 714.57411 cents 4: 1 720.70308 cents 4: 1 770.77589 cents 5: 1 811.76283 cents 5: 1 817.46128 cents 5: 1 846.89299 cents 5: 1 848.90216 cents 5: 1 861.83564 cents 5: 1 873.66305 cents 5: 1 939.48205 cents 6: 1 951.78932 cents 6: 1 964.72281 cents 6: 1 981.22103 cents 6: 1 1030.54181 cents 6: 1 1065.67196 cents 6: 1 1097.11283 cents 6: 1 1108.94024 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 : 102.9 351.1 485.4 704.2 873.7 964.7 1200.0 102.9 : 248.2 382.5 601.3 770.8 861.8 1097.1 1200.0 351.1 : 134.3 353.1 522.6 613.6 848.9 951.8 1200.0 485.4 : 218.8 388.2 479.3 714.6 817.5 1065.7 1200.0 704.2 : 169.5 260.5 495.8 598.7 846.9 981.2 1200.0 873.7 : 91.1 326.3 429.2 677.4 811.8 1030.5 1200.0 964.7 : 235.3 338.2 586.4 720.7 939.5 1108.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 91.0598 .. 248.2107 cents 157.15092 cents 91.05976 cents 2: 260.5180 .. 388.2372 cents 127.71921 cents 12.30727 cents 3: 429.2241 .. 601.3177 cents 172.09358 cents 40.98695 cents 4: 598.6823 .. 770.7759 cents 172.09358 cents -2.63539 cents 5: 811.7628 .. 939.4820 cents 127.71921 cents 40.98695 cents 6: 951.7893 .. 1108.9402 cents 157.15092 cents 12.30727 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 91.05976 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 248.21068 cents Average / Smallest step : 1.882594 Largest / Average step : 1.447896 Largest / Smallest step : 2.725800 Median interval of one step : 169.45819 cents, amount: 1 Least squares average step : 168.82023 cents, oct.: 1181.74160 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : BGCEDAF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.63539 cents Scale diversity : 1.659637 Lumma stability : 0.240590 Lumma impropriety factor : 0.002196 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 : 2.00917 cents Number of recognisable fifths : 2, average 709.3895 cents Number of appreciable fifths : 1, average 704.2049 cents Best fifths form a closed circle 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: 38.3409 c. M:-68.5414 c. Lebeng 8: 1 1 1 2 1 0 2 N D3 SD: 43.2030 c. M: 64.7228 c. 10: 1 2 1 2 1 1 2 P M ME S SD: 16.0647 c. M: 33.6631 c. 15: 1 3 2 3 2 1 3 N SD: 16.1789 c. M: 31.0978 c. 19: 2 4 2 3 3 1 4 N SD: 17.8088 c. M:-27.8495 c. 20: 2 4 2 4 3 1 4 P SD: 13.9743 c. M:-26.3369 c. 22: 2 4 3 4 3 2 4 P SD: 11.6692 c. M: 23.8251 c. 24: 2 5 3 4 3 2 5 P SD: 12.0495 c. M: 23.6631 c. 25: 2 5 3 5 3 2 5 N SD: 9.7833 c. M:-15.7951 c. 27: 2 6 3 5 4 2 5 N SD: 9.8399 c. M:-15.2258 c. 32: 3 6 4 6 4 3 6 P SD: 9.1077 c. M: 13.5978 c. 34: 3 7 4 6 5 2 7 P SD: 6.6014 c. M: 11.7816 c. 37: 3 8 4 7 5 3 7 N SD: 5.6463 c. M:-9.3087 c. 44: 4 9 5 8 6 3 9 P SD: 5.4611 c. M: 10.1774 c. 51: 4 11 6 9 7 4 10 N SD: 4.9007 c. M: 8.7695 c. 55: 5 11 6 10 8 4 11 SP SD: 4.3328 c. M:-6.2037 c. 62: 5 13 7 11 9 5 12 P SD: 4.1184 c. M: 7.4307 c. 70: 6 14 8 13 10 5 14 P SD: 4.1723 c. M: 8.2407 c. 71: 6 15 8 13 10 5 14 N SD: 3.7800 c. M:-5.6543 c. 72: 6 15 8 13 10 6 14 P SD: 3.4709 c. M: 6.9964 c. 81: 7 17 9 15 11 6 16 N SD: 3.4536 c. M:-6.9063 c. 82: 7 17 9 15 12 6 16 P SD: 2.0734 c. M:-4.3857 c. 92: 8 19 10 17 13 7 18 P SD: 1.2848 c. M: 2.8172 c. 106: 9 22 12 19 15 8 21 P SD: 1.6112 c. M: 2.4587 c. 143: 12 30 16 26 20 11 28 N SD: 1.1781 c. M: 2.1879 c. 188: 16 39 21 34 27 14 37 P SD: 0.9592 c. M: 2.0772 c. 198: 17 41 22 36 28 15 39 P SD: 0.7525 c. M: 1.1746 c. 235: 20 49 26 43 33 18 46 N SD: 0.6346 c. M:-1.2426 c. 291: 25 60 33 53 41 22 57 N SD: 0.6575 c. M:-1.1721 c. 305: 26 63 34 56 43 23 60 N SD: 0.7672 c. M: 1.4915 c. 312: 27 64 35 57 44 24 61 P SD: 0.7262 c. M: 1.0978 c. 317: 27 66 35 58 45 24 62 N SD: 0.6664 c. M:-0.9526 c. 327: 28 68 36 60 46 25 64 N SD: 0.6418 c. M:-1.1957 c. 341: 29 71 38 62 48 26 67 N SD: 0.6177 c. M: 0.9358 c. 346: 30 71 39 63 49 26 68 P SD: 0.5926 c. M:-1.1591 c. 363: 31 75 41 66 51 28 71 N SD: 0.5493 c. M: 0.9358 c. 383: 33 79 43 70 54 29 75 N SD: 0.4193 c. M:-0.7560 c. 445: 38 92 50 81 63 34 87 N SD: 0.3892 c. M:-0.6704 c. 455: 39 94 51 83 64 35 89 N SD: 0.3629 c. M: 0.6960 c. 479: 41 99 54 87 68 36 94 N SD: 0.3863 c. M:-0.6585 c. 489: 42 101 55 89 69 37 96 N SD: 0.2337 c. M:-0.4637 c. 581: 50 120 65 106 82 44 114 N SD: 0.1656 c. M:-0.3831 c. 714: 61 148 80 130 101 54 140 N SD: 0.2158 c. M: 0.3662 c. 724: 62 150 81 132 102 55 142 N SD: 0.1797 c. M:-0.2834 c. 806: 69 167 90 147 114 61 158 N SD: 0.1613 c. M:-0.2824 c. 912: 78 189 102 166 129 69 179 N SD: 0.1896 c. M: 0.2575 c. 934: 80 193 105 170 132 71 183 N SD: 0.1804 c. M: 0.3484 c. 1004: 86 208 112 183 142 76 197 N SD: 0.1727 c. M:-0.2966 c. 1026: 88 212 115 187 145 78 201 N SD: 0.1200 c. M: 0.2207 c. 1224: 105 253 137 223 173 93 240 N SD: 0.1376 c. M: 0.2833 c. 1261: 108 261 141 230 178 96 247 N SD: 0.1072 c. M:-0.2256 c. 1295: 111 268 145 236 183 98 254 N SD: 0.0955 c. M:-0.1593 c. 1607: 138 332 180 293 227 122 315 N SD: 0.0854 c. M:-0.1620 c. 1740: 149 360 195 317 246 132 341 N SD: 0.0935 c. M:-0.1301 c. 1750: 150 362 196 319 247 133 343 N SD: 0.0465 c. M:-0.0772 c. 2321: 199 480 260 423 328 176 455 N SD: 0.0481 c. M:-0.0983 c. 2331: 200 482 261 425 329 177 457 N SD: 0.0386 c. M:-0.0729 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: 1.1249 cents 3 x x 4 x 5 x 6 S SD: 5.5140 cents 4 x 5 x 6 x 7:8 S SD: 8.8814 cents 5 x 6:7 x 8:9:10 S SD: 26.1348 cents 6 x 7:8:9:10 x 12 S SD: 17.1731 cents 7 x x 9:11 x 12:14 SD: 24.5730 cents 8:9:10:11:12:13:14:16 S SD: 18.5755 cents 9:10:11:12:14:15:16:18 S SD: 15.1724 cents 10:11:12:13:15:17 x 20 SD: 15.0167 cents 12:13:15:16:18:20:21:24 SD: 7.5716 cents 16:17:20:21:24:27:28:32 SD: 7.1682 cents 18:19:22:24:27:30:31:36 SD: 4.3691 cents 28:30:34:37:42:46:49:56 SD: 3.8612 cents 30:32:37:40:45:50:52:60 SD: 3.6582 cents 31:33:38:41:47:51:54:62 SD: 3.0345 cents 32:34:39:42:48:53:56:64 SD: 2.5350 cents 44:47:54:58:66:73:77:88 SD: 2.1226 cents 49:52:60:65:74:81:86:98 SD: 2.0214 cents 50:53:61:66:75:83:87:100 SD: 1.6081 cents 62:66:76:82:93:103:108:124 SD: 1.2676 cents 80:85:98:106:120:133:140:160 SD: 1.1937 cents 84:89:103:111:126:139:147:168 SD: 0.9557 cents 98:104:120:130:147:162:171:196 SD: 0.8154 cents 99:105:121:131:149:164:173:198 SD: 0.7863 cents 102:108:125:135:153:169:178:204 SD: 0.6734 cents 130:138:159:172:195:215:227:260 SD: 0.6269 cents 133:141:163:176:200:220:232:266 SD: 0.5812 cents 146:155:179:193:219:242:255:292 SD: 0.5610 cents 161:171:197:213:242:267:281:322 SD: 0.4982 cents 177:188:217:234:266:293:309:354 SD: 0.4860 cents 195:207:239:258:293:323:340:390 SD: 0.3961 cents 213:226:261:282:320:353:372:426 SD: 0.2130 cents 343:364:420:454:515:568:599:686 SD: 0.1427 cents 472:501:578:625:709:782:824:944 SD: 0.1340 cents 538:571:659:712:808:891:939:1076 SD: 0.0982 cents 556:590:681:736:835:921:971:1112 SD: 0.0858 cents