Scala analysis: CD16_06_Morocco
Suite - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (ushshaq, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 199.766 cents 199.766463 2: 500.744 cents 500.743816 3: 707.899 cents 707.899319 4: 893.851 cents 893.851259 5: 996.488 cents 996.487650 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 203.5123 cents 203.5123 1: 199.7665 cents 199.7665 2: 300.9774 cents 300.9774 3: 207.1555 cents 207.1555 4: 185.9519 cents 185.9519 5: 102.6364 cents 102.6364 6: 203.5123 cents 203.5123
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 102.63639 cents 1: 1 185.95194 cents 1: 1 199.76646 cents 1: 1 203.51235 cents 1: 1 207.15550 cents 1: 1 300.97735 cents 2: 1 288.58833 cents 2: 1 306.14874 cents 2: 1 393.10744 cents 2: 1 403.27881 cents 2: 1 500.74382 cents 2: 1 508.13286 cents 3: 1 492.10068 cents 3: 1 495.74383 cents 3: 1 505.91520 cents 3: 1 694.08480 cents 3: 1 704.25617 cents 3: 1 707.89932 cents 4: 1 691.86714 cents 4: 1 699.25618 cents 4: 1 796.72119 cents 4: 1 806.89256 cents 4: 1 893.85126 cents 4: 1 911.41167 cents 5: 1 899.02265 cents 5: 1 992.84450 cents 5: 1 996.48765 cents 5: 1 1000.23354 cents 5: 1 1014.04806 cents 5: 1 1097.36361 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 199.8 500.7 707.9 893.9 996.5 1200.0 199.8 : 301.0 508.1 694.1 796.7 1000.2 1200.0 500.7 : 207.2 393.1 495.7 699.3 899.0 1200.0 707.9 : 186.0 288.6 492.1 691.9 992.8 1200.0 893.9 : 102.6 306.1 505.9 806.9 1014.0 1200.0 996.5 : 203.5 403.3 704.3 911.4 1097.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 102.6364 .. 300.9774 cents 198.34096 cents 102.63639 cents 2: 288.5883 .. 508.1329 cents 219.54453 cents -12.38902 cents 3: 492.1007 .. 707.8993 cents 215.79864 cents -16.03218 cents 4: 691.8671 .. 911.4117 cents 219.54453 cents -16.03218 cents 5: 899.0226 .. 1097.3636 cents 198.34096 cents -12.38902 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 102.63639 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 300.97735 cents Average / Smallest step : 1.948627 Largest / Average step : 1.504887 Largest / Smallest step : 2.932462 Median interval of one step : 201.63941 cents, amount: 0 Least squares average step : 209.70105 cents, oct.: 1258.20629 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : CFEBAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.21765 cents Scale diversity : 1.415391 Lumma stability : 0.171061 Lumma impropriety factor : 0.047369 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 2.21765 cents Number of recognisable fifths : 5, average 699.4727 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 212.1555 cents: 3 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 71.4283 c. M: 107.8993 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 2 1 1 1 1 P M ME SD: 25.3491 c. M: 36.7084 c. 12: 2 3 2 2 1 2 P G D3 SD: 4.3426 c. M: 7.8993 c. Mixolydian Hexatonic, P'yongjo: Korea, Yosen: Japan, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan, Rakta Hauns 59: 10 15 10 9 5 10 N SD: 3.8679 c. M:-7.7308 c. 64: 11 16 11 10 5 11 N SD: 4.8101 c. M:-6.4835 c. 65: 11 16 11 10 6 11 P SD: 4.3983 c. M: 7.6974 c. 66: 11 17 11 10 6 11 N SD: 3.9188 c. M:-8.3471 c. 71: 12 18 12 11 6 12 N SD: 3.0822 c. M:-6.2984 c. 76: 13 19 13 12 6 13 N SD: 4.0499 c. M:-6.1487 c. 77: 13 19 13 12 7 13 P SD: 3.8140 c. M: 6.6006 c. 78: 13 20 13 12 7 13 N SD: 3.2429 c. M:-6.9485 c. 79: 13 20 14 12 7 13 N SD: 3.7396 c. M:-6.0440 c. 83: 14 21 14 13 7 14 N SD: 2.6706 c. M:-5.2803 c. 95: 16 24 16 15 8 16 N SD: 2.4867 c. M:-4.5193 c. 107: 18 27 18 17 9 18 N SD: 2.4355 c. M:-3.9291 c. 110: 18 28 19 17 9 19 N SD: 2.1900 c. M: 3.7604 c. 113: 19 28 20 17 10 19 N SD: 2.0815 c. M:-3.6051 c. 122: 20 31 21 19 10 21 N SD: 1.8686 c. M: 3.0452 c. 125: 21 31 22 19 11 21 N SD: 1.6714 c. M:-2.5007 c. 137: 23 34 24 21 12 23 N SD: 1.4116 c. M:-2.0525 c. 149: 25 37 26 23 13 25 N SD: 1.2837 c. M:-2.1701 c. 161: 27 40 28 25 14 27 N SD: 1.2608 c. M:-2.2701 c. 187: 31 47 32 29 16 32 N SD: 1.3956 c. M: 2.0170 c. 192: 32 48 33 30 16 33 N SD: 1.3437 c. M: 2.7377 c. 199: 33 50 34 31 17 34 N SD: 1.3226 c. M: 2.3717 c. 204: 34 51 35 32 17 35 N SD: 1.3143 c. M: 2.3700 c. 208: 35 52 36 32 18 35 N SD: 1.3938 c. M:-2.1566 c. 211: 35 53 36 33 18 36 N SD: 1.3055 c. M: 2.6860 c. 212: 35 53 37 33 18 36 N SD: 1.2964 c. M: 2.6306 c. 220: 37 55 38 34 19 37 N SD: 1.2997 c. M:-2.0517 c. 222: 37 56 38 34 19 38 N SD: 1.3759 c. M: 1.9594 c. 223: 37 56 38 35 19 38 N SD: 1.3296 c. M: 2.9666 c. 224: 37 56 39 35 19 38 N SD: 1.2916 c. M: 2.5295 c. 230: 38 58 40 35 20 39 N SD: 1.1455 c. M: 1.6773 c. 232: 39 58 40 36 20 39 N SD: 1.2560 c. M:-1.9577 c. 234: 39 59 40 36 20 40 N SD: 1.1835 c. M:-1.8203 c. 235: 39 59 41 36 20 40 N SD: 0.8807 c. M:-1.8879 c. 242: 40 61 42 37 21 41 N SD: 0.9261 c. M: 1.4194 c. 247: 41 62 43 38 21 42 N SD: 0.6752 c. M:-1.4124 c. 254: 42 64 44 39 22 43 N SD: 0.7520 c. M: 1.3413 c. 259: 43 65 45 40 22 44 N SD: 0.5212 c. M:-0.9810 c. 271: 45 68 47 42 23 46 N SD: 0.4375 c. M:-0.6137 c. 283: 47 71 49 44 24 48 N SD: 0.4375 c. M:-0.8484 c. 407: 68 102 70 63 35 69 N SD: 0.4245 c. M:-0.7249 c. 419: 70 105 72 65 36 71 N SD: 0.4232 c. M:-0.7109 c. 470: 78 118 81 73 40 80 N SD: 0.5053 c. M: 0.7430 c. 505: 84 127 87 78 43 86 N SD: 0.4741 c. M: 0.8441 c. 517: 86 130 89 80 44 88 N SD: 0.4090 c. M: 0.7430 c. 529: 88 133 91 82 45 90 N SD: 0.3662 c. M: 0.6464 c. 541: 90 136 93 84 46 92 N SD: 0.3497 c. M: 0.5542 c. 553: 92 139 95 86 47 94 N SD: 0.3592 c. M:-0.5220 c. 583: 97 146 101 90 50 99 N SD: 0.3480 c. M: 0.5723 c. 595: 99 149 103 92 51 101 N SD: 0.3003 c. M: 0.5757 c. 607: 101 152 105 94 52 103 N SD: 0.2762 c. M: 0.5791 c. 642: 107 161 111 99 55 109 N SD: 0.3052 c. M:-0.5119 c. 654: 109 164 113 101 56 111 N SD: 0.2280 c. M:-0.3576 c. 666: 111 167 115 103 57 113 N SD: 0.1612 c. M:-0.2335 c. 678: 113 170 117 105 58 115 N SD: 0.1166 c. M:-0.2335 c. 690: 115 173 119 107 59 117 N SD: 0.1160 c. M:-0.2335 c. 944: 157 237 163 146 81 160 N SD: 0.1460 c. M: 0.2072 c. 949: 158 238 164 147 81 161 N SD: 0.1094 c. M:-0.2145 c. 956: 159 240 165 148 82 162 N SD: 0.1217 c. M: 0.1849 c. 961: 160 241 166 149 82 163 N SD: 0.1013 c. M:-0.2174 c. 1568: 261 393 271 243 134 266 N SD: 0.0994 c. M: 0.2336 c. 1575: 262 395 272 244 135 267 N SD: 0.1192 c. M: 0.1724 c. 1580: 263 396 273 245 135 268 N SD: 0.1047 c. M: 0.2375 c. 1622: 270 407 280 251 139 275 N SD: 0.0921 c. M: 0.1398 c. 1627: 271 408 281 252 139 276 N SD: 0.0869 c. M:-0.1523 c. 1634: 272 410 282 253 140 277 N SD: 0.0732 c. M:-0.1130 c. 1639: 273 411 283 254 140 278 N SD: 0.0775 c. M:-0.1115 c. 1646: 274 413 284 255 141 279 N SD: 0.0657 c. M:-0.1102 c. 1917: 319 481 331 297 164 325 N SD: 0.0597 c. M:-0.0819 c. 2246: 374 563 388 348 192 381 N SD: 0.0588 c. M: 0.1205 c. 2253: 375 565 389 349 193 382 N SD: 0.0627 c. M: 0.1096 c. 2258: 376 566 390 350 193 383 N SD: 0.0593 c. M: 0.1238 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 2.9722 cents 3 x 4 x 5 x 6 S SD: 3.2896 cents 4 x 5:6 x 7:8 S SD: 29.4690 cents 5:6:7 x 8:9:10 S SD: 32.8542 cents 6:7:8:9:10:11:12 H SD: 14.3677 cents 7:8:9:11:12 x 14 SD: 22.2751 cents 8:9:11:12:13:14:16 SD: 13.1433 cents 9:10:12:14:15:16:18 S SD: 10.0691 cents 14:16:19:21:23:25:28 SD: 9.1888 cents 15:17:20:23:25:27:30 SD: 7.1881 cents 16:18:21:24:27:28:32 S SD: 7.1875 cents 18:20:24:27:30:32:36 S SD: 3.4735 cents 24:27:32:36:40:43:48 SD: 2.9854 cents 33:37:44:50:55:59:66 SD: 2.9817 cents 40:45:53:60:67:71:80 SD: 2.6171 cents 41:46:55:62:69:73:82 SD: 2.2685 cents 49:55:65:74:82:87:98 SD: 2.2352 cents 50:56:67:75:84:89:100 SD: 1.7072 cents 59:66:79:89:99:105:118 SD: 1.4423 cents 65:73:87:98:109:116:130 SD: 1.3516 cents 75:84:100:113:126:133:150 SD: 1.3324 cents 81:91:108:122:136:144:162 SD: 0.7942 cents 89:100:119:134:149:158:178 SD: 0.7427 cents 99:111:132:149:166:176:198 SD: 0.5595 cents 164:184:219:247:275:292:328 SD: 0.4581 cents 170:191:227:256:285:302:340 SD: 0.4557 cents 188:211:251:283:315:334:376 SD: 0.2733 cents 253:284:338:381:424:450:506 SD: 0.2126 cents 271:304:362:408:454:482:542 SD: 0.2115 cents 343:385:458:516:575:610:686 SD: 0.1884 cents 352:395:470:530:590:626:704 SD: 0.1314 cents 441:495:589:664:739:784:882 SD: 0.1308 cents 531:596:709:799:890:944:1062 SD: 0.1274 cents 540:606:721:813:905:960:1080 SD: 0.1157 cents 564:633:753:849:945:1003:1128 SD: 0.0944 cents