Scala analysis: CD04_06_Egypt
Suite - Dâwûd Khudr Husnî (ushshaq misri, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 142.345 cents 142.345304 2: 345.682 cents 345.682414 3: 596.363 cents 596.362717 4: 638.583 cents 638.583463 5: 843.457 cents 843.456597 6: 1060.067 cents 1060.067289 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 139.9327 cents 139.9327 1: 142.3453 cents 142.3453 2: 203.3371 cents 203.3371 3: 250.6803 cents 250.6803 4: 42.2207 cents 42.2207 5: 204.8731 cents 204.8731 6: 216.6107 cents 216.6107 7: 139.9327 cents 139.9327
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 42.22075 cents 1: 1 139.93271 cents 1: 1 142.34530 cents 1: 1 203.33711 cents 1: 1 204.87313 cents 1: 1 216.61069 cents 1: 1 250.68030 cents 2: 1 247.09388 cents 2: 1 282.27801 cents 2: 1 292.90105 cents 2: 1 345.68241 cents 2: 1 356.54340 cents 2: 1 421.48383 cents 2: 1 454.01741 cents 3: 1 463.70457 cents 3: 1 485.61512 cents 3: 1 496.23816 cents 3: 1 497.77418 cents 3: 1 498.88871 cents 3: 1 561.41654 cents 3: 1 596.36272 cents 4: 1 603.63728 cents 4: 1 638.58346 cents 4: 1 701.11129 cents 4: 1 702.22582 cents 4: 1 703.76184 cents 4: 1 714.38488 cents 4: 1 736.29543 cents 5: 1 745.98259 cents 5: 1 778.51617 cents 5: 1 843.45660 cents 5: 1 854.31759 cents 5: 1 907.09895 cents 5: 1 917.72199 cents 5: 1 952.90612 cents 6: 1 949.31970 cents 6: 1 983.38931 cents 6: 1 995.12687 cents 6: 1 996.66289 cents 6: 1 1057.65470 cents 6: 1 1060.06729 cents 6: 1 1157.77925 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 : 142.3 345.7 596.4 638.6 843.5 1060.1 1200.0 142.3 : 203.3 454.0 496.2 701.1 917.7 1057.7 1200.0 345.7 : 250.7 292.9 497.8 714.4 854.3 996.7 1200.0 596.4 : 42.2 247.1 463.7 603.6 746.0 949.3 1200.0 638.6 : 204.9 421.5 561.4 703.8 907.1 1157.8 1200.0 843.5 : 216.6 356.5 498.9 702.2 952.9 995.1 1200.0 1060.1: 139.9 282.3 485.6 736.3 778.5 983.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 42.2207 .. 250.6803 cents 208.45956 cents 42.22075 cents 2: 247.0939 .. 454.0174 cents 206.92353 cents -3.58642 cents 3: 463.7046 .. 596.3627 cents 132.65814 cents 9.68716 cents 4: 603.6373 .. 736.2954 cents 132.65814 cents 7.27457 cents 5: 745.9826 .. 952.9061 cents 206.92353 cents 9.68716 cents 6: 949.3197 .. 1157.7793 cents 208.45956 cents -3.58642 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 42.22075 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 250.68030 cents Average / Smallest step : 4.060292 Largest / Average step : 1.462302 Largest / Smallest step : 5.937373 Median interval of one step : 203.33711 cents, amount: 1 Least squares average step : 172.53442 cents, oct.: 1207.74094 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : CDGAEFB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.58642 cents Scale diversity : 1.611777 Lumma stability : 0.092575 Lumma impropriety factor : 0.005977 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 : 1.11452 cents Number of recognisable fifths : 4, average 705.3710 cents Number of appreciable fifths : 3, average 702.3663 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 39.6252 c. M: 82.0770 c. Lebeng 8: 1 1 2 0 2 1 1 P D3 I SD: 31.5003 c. M:-56.5434 c. 10: 1 2 2 0 2 2 1 P D3 I SD: 19.3298 c. M: 38.5835 c. 16: 2 3 3 1 2 3 2 P SD: 19.6378 c. M:-36.4165 c. 17: 2 3 3 1 3 3 2 SP D3 I SD: 12.4301 c. M: 31.6568 c. Naghmeh Abuata, Naghmeh Afshari 18: 2 3 4 1 3 3 2 P SD: 15.2028 c. M:-28.0832 c. 20: 2 4 4 1 3 4 2 P SD: 15.0497 c. M: 22.3453 c. 24: 3 4 5 1 4 4 3 P SD: 7.2207 c. M:-11.4165 c. 34: 4 6 7 1 6 6 4 P SD: 3.6377 c. M:-7.2588 c. 58: 7 10 12 2 10 10 7 P SD: 3.9802 c. M:-6.0417 c. 60: 7 10 13 2 10 11 7 N SD: 3.0468 c. M: 5.6824 c. 70: 8 12 15 2 12 13 8 N SD: 3.5149 c. M: 5.2024 c. 77: 9 13 16 3 13 14 9 P SD: 2.1859 c. M: 4.1549 c. 94: 11 16 20 3 16 17 11 N SD: 1.6501 c. M:-3.6373 c. 101: 12 17 21 4 17 18 12 P SD: 1.7978 c. M:-3.0007 c. 111: 13 19 23 4 19 20 13 P SD: 1.0298 c. M: 1.8048 c. 195: 23 33 41 7 33 35 23 N SD: 0.9880 c. M: 1.6058 c. 205: 24 35 43 7 35 37 24 N SD: 0.8392 c. M: 1.8575 c. 229: 27 39 48 8 39 41 27 N SD: 0.8257 c. M: 1.5520 c. 242: 29 41 50 9 41 44 28 P SD: 1.1017 c. M:-1.4563 c. 243: 29 41 51 8 42 44 28 N SD: 1.0849 c. M:-1.6611 c. 246: 29 42 51 9 42 44 29 P SD: 0.8854 c. M: 1.5307 c. 282: 33 48 59 10 48 51 33 N SD: 0.9420 c. M: 1.9198 c. 284: 34 48 59 10 49 51 33 P SD: 0.9159 c. M:-1.6138 c. 302: 36 51 63 11 51 55 35 N SD: 0.7388 c. M:-1.1516 c. 310: 37 52 65 11 53 56 36 N SD: 0.6224 c. M: 1.1663 c. 336: 40 57 70 12 57 61 39 N SD: 0.5470 c. M:-0.7462 c. 344: 41 58 72 12 59 62 40 N SD: 0.4356 c. M:-0.7294 c. 421: 50 71 88 15 72 76 49 N SD: 0.4146 c. M: 0.7893 c. 445: 53 75 93 16 76 80 52 N SD: 0.4569 c. M:-0.5883 c. 447: 53 76 93 16 76 81 52 N SD: 0.3839 c. M:-0.6263 c. 455: 54 77 95 16 78 82 53 N SD: 0.2756 c. M:-0.4994 c. 549: 65 93 115 19 94 99 64 N SD: 0.2638 c. M:-0.3586 c. 650: 77 110 136 23 111 117 76 N SD: 0.2603 c. M: 0.4516 c. 660: 78 112 138 23 113 119 77 N SD: 0.2746 c. M: 0.5271 c. 680: 81 115 142 24 116 123 79 N SD: 0.3254 c. M:-0.5959 c. 684: 81 116 143 24 117 123 80 N SD: 0.2439 c. M: 0.4182 c. 791: 94 134 165 28 135 143 92 N SD: 0.1992 c. M:-0.3625 c. 851: 101 144 178 30 145 154 99 N SD: 0.1907 c. M:-0.3322 c. 885: 105 150 185 31 151 160 103 N SD: 0.1466 c. M:-0.2717 c. 962: 114 163 201 34 164 174 112 N SD: 0.1499 c. M:-0.2238 c. 986: 117 167 206 35 168 178 115 N SD: 0.1406 c. M:-0.3618 c. 996: 118 169 208 35 170 180 116 N SD: 0.1068 c. M: 0.1766 c. 1340: 159 227 280 47 229 242 156 N SD: 0.1069 c. M:-0.2312 c. 1441: 171 244 301 51 246 260 168 N SD: 0.0918 c. M:-0.1396 c. 1475: 175 250 308 52 252 266 172 N SD: 0.0872 c. M:-0.2044 c. 1982: 235 336 414 70 338 358 231 N SD: 0.0777 c. M:-0.1653 c. 2308: 274 391 482 81 394 417 269 N SD: 0.0862 c. M: 0.1290 c. 2326: 276 394 486 82 397 420 271 N SD: 0.0685 c. M:-0.1219 c. 2360: 280 400 493 83 403 426 275 N SD: 0.0736 c. M:-0.1027 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: 31.6858 cents 3 x x 4 x 5 x 6 S SD: 35.4955 cents 4 x 5 x 6 x 7:8 S SD: 29.5718 cents 5 x 6:7 x 8:9:10 S SD: 12.3034 cents 6 x 7:8:9:10:11:12 S SD: 24.5409 cents 7:8:9 x 10:11:13:14 SD: 23.6762 cents 8:9:10:11:12:13:15:16 SD: 15.8372 cents 9:10:11 x 13:15:17:18 SD: 11.7423 cents 10:11:12:14 x 16:18:20 S SD: 10.9263 cents 11:12:13 x 16:18:20:22 SD: 10.6353 cents 12:13:15:17 x 20:22:24 SD: 9.8556 cents 13:14:16:18:19:21:24:26 SD: 6.3728 cents 14:15:17 x 20:23:26:28 SD: 6.3507 cents 16:17:20 x 23:26:30:32 SD: 10.4869 cents 17:18:21:24:25:28:31:34 SD: 8.9799 cents 18:20:22:25:26:29:33:36 SD: 7.5685 cents 19:21:23:27 x 31:35:38 SD: 6.1125 cents 21:23:26 x 30:34:39:42 SD: 6.4012 cents 22:24:27:31:32:36:41:44 SD: 3.6485 cents 27:29:33:38:39:44:50:54 SD: 2.9453 cents 28:30:34 x 40:46:52:56 SD: 6.3507 cents 29:31:35:41:42:47:53:58 SD: 5.4614 cents 30:33:37:42:43:49:55:60 SD: 5.3311 cents 31:34:38:44:45:50:57:62 SD: 3.9911 cents 32:35:39:45:46:52:59:64 SD: 2.5844 cents 36:39:44:51:52:59:66:72 SD: 2.5518 cents 45:49:55:64:65:73:83:90 SD: 2.2468 cents 46:50:56:65:67:75:85:92 SD: 2.0549 cents 49:53:60:69:71:80:90:98 SD: 1.8957 cents 56:61:68:79:81:91:103:112 SD: 1.8014 cents 58:63:71:82:84:94:107:116 SD: 1.3824 cents 59:64:72:83:85:96:109:118 SD: 1.2975 cents 72:78:88:102:104:117:133:144 SD: 1.2721 cents 78:85:95:110:113:127:144:156 SD: 1.2271 cents 81:88:99:114:117:132:149:162 SD: 1.0903 cents 83:90:101:117:120:135:153:166 SD: 0.9749 cents 104:113:127:147:150:169:192:208 SD: 0.9053 cents 105:114:128:148:152:171:194:210 SD: 0.6966 cents 139:151:170:196:201:226:256:278 SD: 0.6847 cents 141:153:172:199:204:230:260:282 SD: 0.6101 cents 150:163:183:212:217:244:277:300 SD: 0.5746 cents 153:166:187:216:221:249:282:306 SD: 0.4709 cents 175:190:214:247:253:285:323:350 SD: 0.4237 cents 199:216:243:281:288:324:367:398 SD: 0.2664 cents 231:251:282:326:334:376:426:462 SD: 0.2217 cents 258:280:315:364:373:420:476:516 SD: 0.1402 cents 457:496:558:645:661:744:843:914 SD: 0.1072 cents 489:531:597:690:707:796:902:978 SD: 0.0817 cents