Scala analysis: CD04_15_Egypt
La lumière de mes yeux - Dâwûd Khudr Husnî (sikah, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 135.450 cents 135.449798 2: 352.493 cents 352.493339 3: 496.007 cents 496.006528 4: 641.257 cents 641.257360 5: 848.495 cents 848.494799 6: 966.860 cents 966.860355 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 233.1396 cents 233.1396 1: 135.4498 cents 135.4498 2: 217.0435 cents 217.0435 3: 143.5132 cents 143.5132 4: 145.2508 cents 145.2508 5: 207.2374 cents 207.2374 6: 118.3656 cents 118.3656 7: 233.1396 cents 233.1396
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 118.36556 cents 1: 1 135.44980 cents 1: 1 143.51319 cents 1: 1 145.25083 cents 1: 1 207.23744 cents 1: 1 217.04354 cents 1: 1 233.13964 cents 2: 1 288.76402 cents 2: 1 325.60300 cents 2: 1 351.50520 cents 2: 1 352.48827 cents 2: 1 352.49334 cents 2: 1 360.55673 cents 2: 1 368.58944 cents 3: 1 470.85383 cents 3: 1 486.95500 cents 3: 1 496.00146 cents 3: 1 496.00653 cents 3: 1 505.80756 cents 3: 1 558.74264 cents 3: 1 585.63298 cents 4: 1 614.36702 cents 4: 1 641.25736 cents 4: 1 694.19244 cents 4: 1 703.99347 cents 4: 1 703.99854 cents 4: 1 713.04500 cents 4: 1 729.14617 cents 5: 1 831.41056 cents 5: 1 839.44327 cents 5: 1 847.50666 cents 5: 1 847.51173 cents 5: 1 848.49480 cents 5: 1 874.39700 cents 5: 1 911.23598 cents 6: 1 966.86036 cents 6: 1 982.95646 cents 6: 1 992.76256 cents 6: 1 1054.74917 cents 6: 1 1056.48681 cents 6: 1 1064.55020 cents 6: 1 1081.63444 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 : 135.4 352.5 496.0 641.3 848.5 966.9 1200.0 135.4 : 217.0 360.6 505.8 713.0 831.4 1064.6 1200.0 352.5 : 143.5 288.8 496.0 614.4 847.5 983.0 1200.0 496.0 : 145.3 352.5 470.9 704.0 839.4 1056.5 1200.0 641.3 : 207.2 325.6 558.7 694.2 911.2 1054.7 1200.0 848.5 : 118.4 351.5 487.0 704.0 847.5 992.8 1200.0 966.9 : 233.1 368.6 585.6 729.1 874.4 1081.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 118.3656 .. 233.1396 cents 114.77409 cents 118.36556 cents 2: 288.7640 .. 368.5894 cents 79.82542 cents 55.62438 cents 3: 470.8538 .. 585.6330 cents 114.77916 cents 102.26438 cents 4: 614.3670 .. 729.1462 cents 114.77916 cents 28.73403 cents 5: 831.4106 .. 911.2360 cents 79.82542 cents 102.26438 cents 6: 966.8604 .. 1081.6344 cents 114.77409 cents 55.62438 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 118.36556 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 233.13964 cents Average / Smallest step : 1.448298 Largest / Average step : 1.359981 Largest / Smallest step : 1.969658 Median interval of one step : 145.25083 cents, amount: 1 Least squares average step : 166.69373 cents, oct.: 1166.85608 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : BFCDEAG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 28.73403 cents Scale diversity : 1.502952 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.484369 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 : 0.00507 cents Number of recognisable fifths : 4, average 703.8074 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 114.7741 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 32.9088 c. M:-61.7111 c. Lebeng 9: 1 2 1 1 1 1 2 N D3 S SD: 33.3297 c. M: 48.4948 c. 10: 1 2 1 1 2 1 2 P M ME S SD: 18.4106 c. M: 41.2574 c. 15: 2 2 2 2 3 1 3 SP D3 S SD: 20.5495 c. M: 32.4933 c. 17: 2 3 2 2 3 2 3 SP M ME S SD: 8.7102 c. M:-21.3749 c. 20: 2 4 2 3 3 2 4 P D3 S SD: 12.0817 c. M:-18.7426 c. 24: 3 4 3 3 4 2 5 P SD: 9.2338 c. M: 16.8604 c. 27: 3 5 3 3 5 3 5 SP M DE S SD: 8.9638 c. M: 19.0351 c. 30: 3 6 3 4 5 3 6 P SD: 9.7984 c. M: 16.0065 c. 34: 4 6 4 4 6 3 7 P SD: 6.1867 c. M: 13.9192 c. 37: 4 7 4 5 6 4 7 SP SD: 6.1074 c. M: 9.5200 c. 41: 5 7 5 5 7 4 8 SP SD: 4.3220 c. M:-10.8917 c. 51: 6 9 6 6 9 5 10 SP SD: 3.3557 c. M: 5.9632 c. 71: 8 13 8 9 12 7 14 SP SD: 3.0526 c. M: 5.8657 c. 78: 9 14 9 10 13 8 15 SP SD: 2.9193 c. M:-4.8965 c. 82: 9 15 10 10 14 8 16 SP SD: 1.9323 c. M: 3.7425 c. 92: 10 17 11 11 16 9 18 SP SD: 2.1728 c. M: 5.0150 c. 99: 11 18 12 12 17 10 19 SP SD: 1.5011 c. M:-2.8366 c. 123: 14 22 15 15 21 12 24 SP SD: 1.3846 c. M:-2.6451 c. 133: 15 24 16 16 23 13 26 SP SD: 0.6663 c. M: 1.4468 c. 150: 17 27 18 18 26 15 29 SP SD: 0.7241 c. M: 1.2574 c. 232: 26 42 28 28 40 23 45 SP SD: 0.5388 c. M: 0.9670 c. 273: 31 49 33 33 47 27 53 SP SD: 0.5559 c. M: 0.8450 c. 283: 32 51 34 34 49 28 55 SP SD: 0.4658 c. M: 0.9747 c. 344: 39 62 41 42 59 34 67 SP SD: 0.5595 c. M: 0.8204 c. 365: 41 66 44 44 63 36 71 SP SD: 0.4321 c. M: 0.7125 c. 382: 43 69 46 46 66 38 74 SP SD: 0.4515 c. M:-0.6789 c. 406: 46 73 49 49 70 40 79 SP SD: 0.4376 c. M: 0.7692 c. 443: 50 80 53 54 76 44 86 SP SD: 0.4110 c. M:-0.7291 c. 453: 51 82 54 55 78 45 88 SP SD: 0.4253 c. M: 0.8127 c. 479: 54 87 57 58 83 47 93 SP SD: 0.4158 c. M:-0.7745 c. 494: 56 89 59 60 85 49 96 SP SD: 0.4049 c. M: 0.7215 c. 515: 58 93 62 62 89 51 100 SP SD: 0.3721 c. M: 0.6487 c. 576: 65 104 69 70 99 57 112 SP SD: 0.3248 c. M: 0.5781 c. 586: 66 106 70 71 101 58 114 SP SD: 0.3881 c. M: 0.7132 c. 593: 67 107 71 72 102 59 115 SP SD: 0.3402 c. M: 0.6027 c. 612: 69 111 73 74 106 60 119 SP SD: 0.2802 c. M:-0.5248 c. 629: 71 114 75 76 109 62 122 SP SD: 0.3006 c. M:-0.4718 c. 711: 80 129 85 86 123 70 138 SP SD: 0.2798 c. M:-0.4503 c. 726: 82 131 87 88 125 72 141 SP SD: 0.2764 c. M: 0.5609 c. 745: 84 135 89 90 129 73 145 SP SD: 0.2505 c. M: 0.4174 c. 752: 85 136 90 91 130 74 146 SP SD: 0.2422 c. M:-0.4414 c. 762: 86 138 91 92 132 75 148 SP SD: 0.1999 c. M:-0.3241 c. 885: 100 160 106 107 153 87 172 SP SD: 0.1736 c. M:-0.3188 c. 932: 105 169 111 113 161 92 181 SP SD: 0.1906 c. M: 0.2984 c. 956: 108 173 114 116 165 94 186 SP SD: 0.1855 c. M: 0.3332 c. 973: 110 176 116 118 168 96 189 SP SD: 0.1477 c. M:-0.2302 c. 1035: 117 187 124 125 179 102 201 SP SD: 0.1473 c. M:-0.2254 c. 1055: 119 191 126 128 182 104 205 SP SD: 0.1185 c. M:-0.2592 c. 1106: 125 200 132 134 191 109 215 SP SD: 0.1158 c. M:-0.1741 c. 1188: 134 215 142 144 205 117 231 SP SD: 0.1033 c. M: 0.1937 c. 1205: 136 218 144 146 208 119 234 SP SD: 0.0598 c. M:-0.1106 c. 1338: 151 242 160 162 231 132 260 SP SD: 0.0362 c. M: 0.0643 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: 30.3488 cents 3 x x 4 x 5 x 6 S SD: 11.9739 cents 4 x 5 x 6 x 7:8 S SD: 17.3779 cents 5 x 6 x 7:8:9:10 S SD: 18.5417 cents 6 x 7:8:9:10 x 12 S SD: 22.1863 cents 7:8 x 9:10:11:12:14 S SD: 22.9334 cents 8:9:10:11:12:13:14:16 S SD: 16.0621 cents 9:10:11:12:13:15:16:18 SD: 9.4726 cents 12:13:15:16:17:20:21:24 SD: 8.9345 cents 13:14:16:17:19:21:23:26 SD: 6.5674 cents 21:23:26:28:30:34:37:42 SD: 5.9686 cents 22:24:27:29:32:36:38:44 SD: 4.6265 cents 24:26:29:32:35:39:42:48 SD: 4.1455 cents 27:29:33:36:39:44:47:54 SD: 2.2618 cents 36:39:44:48:52:59:63:72 SD: 1.5048 cents 49:53:60:65:71:80:86:98 SD: 1.4277 cents 63:68:77:84:91:103:110:126 SD: 1.2159 cents 76:82:93:101:110:124:133:152 SD: 0.9460 cents 87:94:107:116:126:142:152:174 SD: 0.9047 cents 111:120:136:148:161:181:194:222 SD: 0.5632 cents 136:147:167:181:197:222:238:272 SD: 0.5511 cents 147:159:180:196:213:240:257:294 SD: 0.4181 cents 172:186:211:229:249:281:301:344 SD: 0.4063 cents 199:215:244:265:288:325:348:398 SD: 0.3314 cents 270:292:331:360:391:441:472:540 SD: 0.3212 cents 283:306:347:377:410:462:495:566 SD: 0.2009 cents 332:359:407:442:481:542:580:664 SD: 0.1865 cents 368:398:451:490:533:601:643:736 SD: 0.1637 cents 479:518:587:638:694:782:837:958 SD: 0.1491 cents 504:545:618:671:730:823:881:1008 SD: 0.1279 cents