Scala analysis: CD16_15_Morocco
La brise du matin a Offert - 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: 210.575 cents 210.574862 2: 410.425 cents 410.424664 3: 712.714 cents 712.714257 4: 908.558 cents 908.557833 5: 1015.393 cents 1015.392918 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 184.6071 cents 184.6071 1: 210.5749 cents 210.5749 2: 199.8498 cents 199.8498 3: 302.2896 cents 302.2896 4: 195.8436 cents 195.8436 5: 106.8351 cents 106.8351 6: 184.6071 cents 184.6071
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 106.83509 cents 1: 1 184.60708 cents 1: 1 195.84358 cents 1: 1 199.84980 cents 1: 1 210.57486 cents 1: 1 302.28959 cents 2: 1 291.44217 cents 2: 1 302.67866 cents 2: 1 395.18194 cents 2: 1 410.42466 cents 2: 1 498.13317 cents 2: 1 502.13939 cents 3: 1 487.28574 cents 3: 1 502.01703 cents 3: 1 595.03175 cents 3: 1 604.96825 cents 3: 1 697.98297 cents 3: 1 712.71426 cents 4: 1 697.86061 cents 4: 1 701.86683 cents 4: 1 789.57534 cents 4: 1 804.81806 cents 4: 1 897.32134 cents 4: 1 908.55783 cents 5: 1 897.71041 cents 5: 1 989.42514 cents 5: 1 1000.15020 cents 5: 1 1004.15642 cents 5: 1 1015.39292 cents 5: 1 1093.16492 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 : 210.6 410.4 712.7 908.6 1015.4 1200.0 210.6 : 199.8 502.1 698.0 804.8 989.4 1200.0 410.4 : 302.3 498.1 605.0 789.6 1000.2 1200.0 712.7 : 195.8 302.7 487.3 697.9 897.7 1200.0 908.6 : 106.8 291.4 502.0 701.9 1004.2 1200.0 1015.4: 184.6 395.2 595.0 897.3 1093.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 106.8351 .. 302.2896 cents 195.45451 cents 106.83509 cents 2: 291.4422 .. 502.1394 cents 210.69723 cents -10.84743 cents 3: 487.2857 .. 712.7143 cents 225.42851 cents -14.85365 cents 4: 697.8606 .. 908.5578 cents 210.69723 cents -14.85365 cents 5: 897.7104 .. 1093.1649 cents 195.45451 cents -10.84743 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 106.83509 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 302.28959 cents Average / Smallest step : 1.872044 Largest / Average step : 1.511448 Largest / Smallest step : 2.829497 Median interval of one step : 197.84669 cents, amount: 0 Least squares average step : 209.67871 cents, oct.: 1258.07228 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : EDFCAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.12237 cents Scale diversity : 1.512732 Lumma stability : 0.178058 Lumma impropriety factor : 0.042835 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 : 0.12237 cents Number of recognisable fifths : 4, average 702.6062 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 2 1 0 1 N T3 SD: 52.3417 c. M:-91.4422 c. 7: 1 1 2 1 1 1 P M ME SD: 40.0915 c. M: 67.5675 c. 8: 1 2 2 1 1 1 N D3 S SD: 36.2782 c. M: 60.5749 c. 9: 2 1 2 2 1 1 P D3 SD: 37.8994 c. M:-56.0918 c. 11: 2 2 3 1 1 2 N SD: 30.9161 c. M:-50.9221 c. 12: 2 2 3 2 1 2 P T3 SD: 10.7419 c. M: 15.3929 c. Raga Janasamohini 27: 5 4 7 4 3 4 P SD: 10.6490 c. M: 19.6689 c. 29: 5 5 7 5 3 4 P SD: 8.9289 c. M:-19.0898 c. 30: 5 5 8 5 2 5 N T3 SD: 10.3396 c. M: 15.3929 c. 32: 6 5 8 5 3 5 P SD: 7.0005 c. M:-14.4251 c. 34: 6 6 8 6 3 5 P SD: 7.8384 c. M:-13.1047 c. 39: 7 6 10 7 3 6 N SD: 7.8298 c. M:-14.5191 c. 40: 7 7 10 6 4 6 N SD: 6.3188 c. M:-9.5753 c. 41: 7 7 10 7 4 6 P SD: 6.0687 c. M: 10.2752 c. 44: 8 7 11 7 4 7 P SD: 5.5636 c. M: 8.5578 c. 45: 8 7 12 7 4 7 N SD: 5.4342 c. M: 10.4247 c. 46: 8 8 11 8 4 7 P SD: 4.9359 c. M: 8.3664 c. 50: 9 8 13 8 4 8 N SD: 5.0810 c. M: 7.3929 c. 52: 9 9 13 8 5 8 N SD: 4.3451 c. M: 8.5578 c. 58: 10 10 14 10 5 9 P SD: 4.4062 c. M: 9.2660 c. 59: 10 10 15 10 5 9 N SD: 4.3378 c. M: 7.1850 c. 64: 11 11 16 10 6 10 N SD: 4.1766 c. M: 8.5578 c. 67: 12 11 17 11 6 10 N SD: 3.8511 c. M:-5.5026 c. 73: 13 12 18 12 7 11 P SD: 3.6184 c. M: 5.8649 c. 74: 13 12 19 12 7 11 N SD: 3.2885 c. M:-6.2287 c. 78: 14 13 19 13 7 12 P SD: 3.5049 c. M: 5.0219 c. 79: 14 13 20 13 7 12 N SD: 1.7958 c. M:-2.8346 c. 91: 16 15 23 15 8 14 N SD: 0.9135 c. M: 1.6335 c. 222: 39 37 56 36 20 34 N SD: 0.5360 c. M:-0.8233 c. 234: 41 39 59 38 21 36 N SD: 0.3852 c. M: 0.8655 c. 313: 55 52 79 51 28 48 N SD: 0.3199 c. M:-0.5815 c. 325: 57 54 82 53 29 50 N SD: 0.2646 c. M: 0.5785 c. 404: 71 67 102 66 36 62 N SD: 0.3476 c. M: 0.5237 c. 416: 73 69 105 68 37 64 N SD: 0.3440 c. M: 0.8093 c. 547: 96 91 138 89 49 84 N SD: 0.2325 c. M: 0.3311 c. 564: 99 94 142 92 50 87 N SD: 0.2250 c. M: 0.4993 c. 638: 112 106 161 104 57 98 N SD: 0.2116 c. M: 0.3933 c. 643: 113 107 162 105 57 99 N SD: 0.2140 c. M:-0.3116 c. 655: 115 109 165 107 58 101 N SD: 0.1928 c. M: 0.4311 c. 786: 138 131 198 128 70 121 N SD: 0.1790 c. M:-0.2628 c. 865: 152 144 218 141 77 133 N SD: 0.2138 c. M:-0.3493 c. 872: 153 145 220 142 78 134 N SD: 0.2083 c. M: 0.3329 c. 877: 154 146 221 143 78 135 N SD: 0.1056 c. M:-0.1706 c. 968: 170 161 244 158 86 149 N SD: 0.1093 c. M:-0.1689 c. 1111: 195 185 280 181 99 171 N SD: 0.1083 c. M: 0.1870 c. 1190: 209 198 300 194 106 183 N SD: 0.1221 c. M:-0.2269 c. 1202: 211 200 303 196 107 185 N SD: 0.0809 c. M: 0.1085 c. 1482: 260 247 373 242 132 228 N SD: 0.0843 c. M: 0.1636 c. 1561: 274 260 393 255 139 240 N SD: 0.0809 c. M:-0.1100 c. 1573: 276 262 396 257 140 242 N SD: 0.0790 c. M: 0.1904 c. 1795: 315 299 452 293 160 276 N SD: 0.0536 c. M:-0.0945 c. 2120: 372 353 534 346 189 326 N SD: 0.0553 c. M:-0.0788 c. 2359: 414 393 594 385 210 363 N SD: 0.0474 c. M:-0.0883 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 5.3796 cents 3 x 4 x 5 x 6 S SD: 30.3002 cents 4 x 5:6 x 7:8 S SD: 13.3828 cents 5 x 6 x 8:9:10 S SD: 33.5311 cents 6:7:8:9:10:11:12 H SD: 18.7838 cents 7:8:9:11:12:13:14 SD: 16.3943 cents 8:9:10:12 x 14:16 S SD: 10.7889 cents 14:16:18:21:24:25:28 SD: 7.2386 cents 15:17:19:23:25:27:30 SD: 6.1780 cents 16:18:20:24:27:29:32 SD: 5.1369 cents 22:25:28:33:37:40:44 SD: 4.5284 cents 23:26:29:35:39:41:46 SD: 3.8424 cents 29:33:37:44:49:52:58 SD: 3.3427 cents 30:34:38:45:51:54:60 SD: 2.6928 cents 41:46:52:62:69:74:82 SD: 2.5975 cents 45:51:57:68:76:81:90 SD: 1.1700 cents 71:80:90:107:120:128:142 SD: 1.1403 cents 78:88:99:118:132:140:156 SD: 1.0094 cents 93:105:118:140:157:167:186 SD: 0.9416 cents 94:106:119:142:159:169:188 SD: 0.6543 cents 123:139:156:186:208:221:246 SD: 0.6404 cents 138:156:175:208:233:248:276 SD: 0.5951 cents 139:157:176:210:235:250:278 SD: 0.4444 cents 187:211:237:282:316:336:374 SD: 0.3937 cents 194:219:246:293:328:349:388 SD: 0.3358 cents 216:244:274:326:365:388:432 SD: 0.3328 cents 232:262:294:350:392:417:464 SD: 0.1807 cents 332:375:421:501:561:597:664 SD: 0.1756 cents 355:401:450:536:600:638:710 SD: 0.1435 cents 426:481:540:643:720:766:852 SD: 0.0906 cents 587:663:744:886:992:1055:1174 SD: 0.0850 cents