Scala analysis: CD04_09_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: 106.021 cents 106.020675 2: 405.982 cents 405.981619 3: 493.175 cents 493.175105 4: 695.725 cents 695.725273 5: 899.007 cents 899.006712 6: 1045.866 cents 1045.866429 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 154.1336 cents 154.1336 1: 106.0207 cents 106.0207 2: 299.9609 cents 299.9609 3: 87.1935 cents 87.1935 4: 202.5502 cents 202.5502 5: 203.2814 cents 203.2814 6: 146.8597 cents 146.8597 7: 154.1336 cents 154.1336
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 87.19349 cents 1: 1 106.02068 cents 1: 1 146.85972 cents 1: 1 154.13357 cents 1: 1 202.55017 cents 1: 1 203.28144 cents 1: 1 299.96094 cents 2: 1 260.15425 cents 2: 1 289.74365 cents 2: 1 300.99329 cents 2: 1 350.14116 cents 2: 1 387.15443 cents 2: 1 405.83161 cents 2: 1 405.98162 cents 3: 1 407.01396 cents 3: 1 493.02509 cents 3: 1 493.17510 cents 3: 1 504.27473 cents 3: 1 552.69132 cents 3: 1 560.11519 cents 3: 1 589.70460 cents 4: 1 610.29540 cents 4: 1 639.88481 cents 4: 1 647.30868 cents 4: 1 695.72527 cents 4: 1 706.82490 cents 4: 1 706.97491 cents 4: 1 792.98604 cents 5: 1 794.01838 cents 5: 1 794.16839 cents 5: 1 812.84557 cents 5: 1 849.85884 cents 5: 1 899.00671 cents 5: 1 910.25635 cents 5: 1 939.84575 cents 6: 1 900.03906 cents 6: 1 996.71856 cents 6: 1 997.44983 cents 6: 1 1045.86643 cents 6: 1 1053.14028 cents 6: 1 1093.97933 cents 6: 1 1112.80651 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 : 106.0 406.0 493.2 695.7 899.0 1045.9 1200.0 106.0 : 300.0 387.2 589.7 793.0 939.8 1094.0 1200.0 406.0 : 87.2 289.7 493.0 639.9 794.0 900.0 1200.0 493.2 : 202.6 405.8 552.7 706.8 812.8 1112.8 1200.0 695.7 : 203.3 350.1 504.3 610.3 910.3 997.4 1200.0 899.0 : 146.9 301.0 407.0 707.0 794.2 996.7 1200.0 1045.9: 154.1 260.2 560.1 647.3 849.9 1053.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 87.1935 .. 299.9609 cents 212.76746 cents 87.19349 cents 2: 260.1542 .. 405.9816 cents 145.82737 cents -39.80670 cents 3: 407.0140 .. 589.7046 cents 182.69063 cents 1.03234 cents 4: 610.2954 .. 792.9860 cents 182.69063 cents 20.59080 cents 5: 794.0184 .. 939.8458 cents 145.82737 cents 1.03234 cents 6: 900.0391 .. 1112.8065 cents 212.76746 cents -39.80670 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 87.19349 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 299.96094 cents Average / Smallest step : 1.966071 Largest / Average step : 1.749772 Largest / Smallest step : 3.440176 Median interval of one step : 154.13357 cents, amount: 1 Least squares average step : 173.93316 cents, oct.: 1217.53212 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : BGAEFCD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.03234 cents Scale diversity : 1.610061 Lumma stability : 0.164202 Lumma impropriety factor : 0.066344 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 : 0.15001 cents Number of recognisable fifths : 3, average 703.1750 cents Best fifths 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: 39.3890 c. M:-65.4079 c. Lebeng 8: 1 2 0 2 1 1 1 P D3 S SD: 35.2536 c. M:-54.2747 c. 9: 1 2 1 1 2 1 1 P M ME S SD: 26.3217 c. M:-40.1582 c. Pelog Saptanada: Sunda 12: 1 3 1 2 2 1 2 P D3 SD: 17.8949 c. M: 45.8664 c. Harmonic Minor inverse, Mixolydian flat 2, Mela Cakravaka, Raga Ahir Bhairav, Bindumalini, Hevitri, Vegavahini, Makam Hicaz, Zanjaran 15: 1 4 1 3 2 2 2 N SD: 16.3505 c. M: 26.0207 c. 17: 2 4 1 3 3 2 2 P SD: 17.5794 c. M:-35.1558 c. 20: 2 5 1 4 3 2 3 P SD: 16.1459 c. M: 25.8664 c. 21: 2 5 2 3 4 2 3 P SD: 12.9974 c. M:-21.1106 c. 23: 2 6 1 4 4 3 3 N SD: 12.7969 c. M: 23.6099 c. 24: 2 6 2 4 4 3 3 N SD: 4.7049 c. M:-6.8249 c. 56: 5 14 4 9 10 7 7 N SD: 4.1576 c. M: 10.0110 c. 59: 5 15 4 10 10 7 8 N SD: 4.6708 c. M: 8.5783 c. 64: 6 16 4 11 11 8 8 N SD: 4.4506 c. M:-6.5184 c. 65: 6 16 5 11 11 8 8 N SD: 4.7399 c. M:-6.4413 c. 68: 6 17 5 11 12 8 9 N SD: 3.3806 c. M: 7.4900 c. 69: 6 17 5 12 12 8 9 N SD: 3.9908 c. M: 6.2186 c. 71: 6 18 5 12 12 9 9 N SD: 2.7462 c. M: 4.6122 c. 76: 7 19 5 13 13 9 10 N SD: 3.1795 c. M:-4.5447 c. 80: 7 20 6 13 14 10 10 N SD: 2.8332 c. M: 5.7253 c. 83: 7 21 6 14 14 10 11 N SD: 2.9544 c. M: 4.9026 c. 88: 8 22 6 15 15 11 11 N SD: 2.4604 c. M:-4.1336 c. 92: 8 23 7 15 16 11 12 N SD: 2.3250 c. M: 4.4209 c. 100: 9 25 7 17 17 12 13 N SD: 1.4101 c. M:-2.0184 c. 124: 11 31 9 21 21 15 16 N SD: 0.6687 c. M:-1.0489 c. 295: 26 74 21 50 50 36 38 N SD: 0.5157 c. M: 0.9717 c. 319: 28 80 23 54 54 39 41 N SD: 0.3299 c. M: 0.6915 c. 443: 39 111 32 75 75 54 57 N SD: 0.3048 c. M:-0.4373 c. 621: 55 155 45 105 105 76 80 N SD: 0.3162 c. M: 0.4560 c. 623: 55 156 45 105 106 76 80 N SD: 0.2960 c. M:-0.5117 c. 645: 57 161 47 109 109 79 83 N SD: 0.2492 c. M: 0.4021 c. 757: 67 189 55 128 128 93 97 N SD: 0.2076 c. M:-0.3687 c. 769: 68 192 56 130 130 94 99 N SD: 0.2055 c. M: 0.3528 c. 825: 73 206 60 139 140 101 106 N SD: 0.1987 c. M: 0.4525 c. 849: 75 212 62 143 144 104 109 N SD: 0.1817 c. M: 0.3279 c. 881: 78 220 64 149 149 108 113 N SD: 0.1710 c. M:-0.3020 c. 949: 84 237 69 160 161 116 122 N SD: 0.1370 c. M: 0.2564 c. 964: 85 241 70 163 163 118 124 N SD: 0.1912 c. M: 0.2515 c. 973: 86 243 71 164 165 119 125 N SD: 0.1197 c. M: 0.2262 c. 1073: 95 268 78 181 182 131 138 N SD: 0.1340 c. M:-0.2235 c. 1097: 97 274 80 185 186 134 141 N SD: 0.1192 c. M:-0.1729 c. 1144: 101 286 83 193 194 140 147 N SD: 0.1286 c. M: 0.2707 c. 1168: 103 292 85 197 198 143 150 N SD: 0.1188 c. M: 0.1988 c. 1268: 112 317 92 214 215 155 163 N SD: 0.0862 c. M: 0.1417 c. 1292: 114 323 94 218 219 158 166 N SD: 0.0746 c. M: 0.1383 c. 2025: 179 506 147 342 343 248 260 N SD: 0.0665 c. M: 0.1381 c. 2046: 181 511 149 345 347 250 263 N SD: 0.1078 c. M:-0.1377 c. 2049: 181 512 149 346 347 251 263 N SD: 0.0681 c. M: 0.1251 c. 2149: 190 537 156 363 364 263 276 N SD: 0.0537 c. M: 0.1086 c. 2173: 192 543 158 367 368 266 279 N SD: 0.0553 c. M: 0.0911 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: 3.1149 cents 3 x x 4 x 5 x 6 S SD: 5.1454 cents 4 x 5 x 6:7 x 8 S SD: 18.2009 cents 5 x 6:7 x 8:9:10 S SD: 31.1264 cents 6 x x 8:9:10:11:12 S SD: 3.4019 cents 7:8:9 x 10:12:13:14 S SD: 26.0679 cents 8:9:10:11:12:13:15:16 SD: 19.4864 cents 9:10:11:12:13:15:16:18 SD: 17.7712 cents 10:11 x 13:15:17:18:20 SD: 13.1451 cents 12:13:15:16:18:20:22:24 SD: 5.9518 cents 16:17:20:21:24:27:29:32 SD: 5.0318 cents 18:19:23:24:27:30:33:36 SD: 3.9935 cents 30:32:38:40:45:50:55:60 SD: 2.6052 cents 34:36:43:45:51:57:62:68 SD: 2.0468 cents 46:49:58:61:69:77:84:92 SD: 1.7787 cents 60:64:76:80:90:101:110:120 SD: 1.5950 cents 63:67:80:84:94:106:115:126 SD: 1.4960 cents 64:68:81:85:96:108:117:128 SD: 1.4000 cents 75:80:95:100:112:126:137:150 SD: 1.2600 cents 76:81:96:101:114:128:139:152 SD: 1.2188 cents 79:84:100:105:118:133:145:158 SD: 0.9476 cents 94:100:119:125:140:158:172:188 SD: 0.9441 cents 95:101:120:126:142:160:174:190 SD: 0.8581 cents 109:116:138:145:163:183:199:218 SD: 0.7625 cents 113:120:143:150:169:190:207:226 SD: 0.6469 cents 125:133:158:166:187:210:229:250 SD: 0.5466 cents 158:168:200:210:236:266:289:316 SD: 0.5369 cents 170:181:215:226:254:286:311:340 SD: 0.4427 cents 188:200:238:250:281:316:344:376 SD: 0.3660 cents 204:217:258:271:305:343:373:408 SD: 0.3320 cents 269:286:340:358:402:452:492:538 SD: 0.2731 cents 303:322:383:403:453:509:554:606 SD: 0.2721 cents 333:354:421:443:498:560:609:666 SD: 0.2617 cents 348:370:440:463:520:585:637:696 SD: 0.2090 cents 364:387:460:484:544:612:666:728 SD: 0.1313 cents 382:406:483:508:571:642:699:764 SD: 0.1041 cents 552:587:698:734:825:928:1010:1104 SD: 0.0905 cents 586:623:741:779:876:985:1072:1172 SD: 0.0858 cents