Scala analysis: CD06_09_Egypt
Patron, fais-moi Trvaerser le Nil - Muhammad Awad Al-Arabî (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 140.056 cents 140.055765 2: 286.990 cents 286.990068 3: 465.736 cents 465.736098 4: 674.454 cents 674.453977 5: 965.455 cents 965.455124 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 234.5449 cents 234.5449 1: 140.0558 cents 140.0558 2: 146.9343 cents 146.9343 3: 178.7460 cents 178.7460 4: 208.7179 cents 208.7179 5: 291.0011 cents 291.0011 6: 234.5449 cents 234.5449
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 140.05576 cents 1: 1 146.93430 cents 1: 1 178.74603 cents 1: 1 208.71788 cents 1: 1 234.54488 cents 1: 1 291.00115 cents 2: 1 286.99007 cents 2: 1 325.68033 cents 2: 1 374.60064 cents 2: 1 387.46391 cents 2: 1 499.71903 cents 2: 1 525.54602 cents 3: 1 465.73610 cents 3: 1 521.53494 cents 3: 1 534.39821 cents 3: 1 665.60179 cents 3: 1 678.46506 cents 3: 1 734.26390 cents 4: 1 674.45398 cents 4: 1 700.28097 cents 4: 1 812.53609 cents 4: 1 825.39936 cents 4: 1 874.31967 cents 4: 1 913.00993 cents 5: 1 908.99885 cents 5: 1 965.45512 cents 5: 1 991.28212 cents 5: 1 1021.25397 cents 5: 1 1053.06570 cents 5: 1 1059.94424 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 : 140.1 287.0 465.7 674.5 965.5 1200.0 140.1 : 146.9 325.7 534.4 825.4 1059.9 1200.0 287.0 : 178.7 387.5 678.5 913.0 1053.1 1200.0 465.7 : 208.7 499.7 734.3 874.3 1021.3 1200.0 674.5 : 291.0 525.5 665.6 812.5 991.3 1200.0 965.5 : 234.5 374.6 521.5 700.3 909.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 140.0558 .. 291.0011 cents 150.94538 cents 140.05576 cents 2: 286.9901 .. 525.5460 cents 238.55596 cents -4.01108 cents 3: 465.7361 .. 734.2639 cents 268.52780 cents -59.80993 cents 4: 674.4540 .. 913.0099 cents 238.55596 cents -59.80993 cents 5: 908.9989 .. 1059.9442 cents 150.94538 cents -4.01108 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 140.05576 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 291.00115 cents Average / Smallest step : 1.428003 Largest / Average step : 1.455006 Largest / Smallest step : 2.077752 Median interval of one step : 193.73195 cents, amount: 0 Least squares average step : 185.01468 cents, oct.: 1110.08807 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : ABCDFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.01108 cents Scale diversity : 1.544602 Lumma stability : 0.233426 Lumma impropriety factor : 0.106368 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 : 4.01108 cents Number of recognisable fifths : 1, average 700.2810 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 1 2 1 N D3 SD: 60.8530 c. M: 86.9901 c. 7: 1 1 1 1 2 1 P M ME SD: 41.9780 c. M:-63.1163 c. 8: 1 1 1 1 2 2 N D3 S SD: 41.5202 c. M: 74.4540 c. 9: 1 1 1 2 2 2 N SD: 31.2834 c. M: 65.7361 c. 10: 1 1 2 2 2 2 P D3 S SD: 28.6297 c. M: 46.9901 c. 11: 1 2 1 2 3 2 N G SD: 26.1673 c. M:-40.2827 c. 13: 1 2 2 2 3 3 N SD: 28.8550 c. M: 47.7481 c. 15: 2 2 2 2 4 3 N SD: 22.0141 c. M: 34.4540 c. 16: 2 2 2 3 4 3 N SD: 10.0596 c. M: 15.7361 c. 25: 3 3 4 4 6 5 N SD: 6.5296 c. M:-14.2639 c. 34: 4 4 5 6 8 7 N SD: 6.3520 c. M: 12.5139 c. 37: 4 5 5 7 9 7 N SD: 7.8269 c. M: 11.6820 c. 41: 5 5 6 7 10 8 N SD: 3.6574 c. M:-6.2857 c. 62: 7 8 9 11 15 12 N SD: 2.8142 c. M: 4.5719 c. 67: 8 8 10 12 16 13 N SD: 2.9229 c. M:-6.1430 c. 87: 10 11 13 15 21 17 N SD: 2.0014 c. M:-3.2294 c. 96: 11 12 14 17 23 19 N SD: 2.0934 c. M: 3.2361 c. 101: 12 12 15 18 24 20 N SD: 2.3282 c. M: 3.0789 c. 103: 12 13 15 18 25 20 N SD: 1.9310 c. M:-4.2721 c. 121: 14 15 18 21 29 24 N SD: 1.5302 c. M: 3.4717 c. 137: 16 17 20 24 33 27 N SD: 1.3116 c. M:-2.0610 c. 139: 16 17 21 24 34 27 N SD: 1.3888 c. M: 2.0980 c. 155: 18 19 23 27 38 30 N SD: 1.1775 c. M:-2.2868 c. 180: 21 22 27 31 44 35 N SD: 0.7850 c. M:-1.2115 c. 214: 25 26 32 37 52 42 N SD: 0.8658 c. M: 1.5568 c. 242: 28 30 36 42 59 47 N SD: 0.8374 c. M:-1.4870 c. 247: 29 30 37 43 60 48 N SD: 0.7949 c. M:-1.3465 c. 276: 32 34 41 48 67 54 N SD: 0.4959 c. M: 0.9253 c. 281: 33 34 42 49 68 55 N SD: 0.5422 c. M:-0.8695 c. 301: 35 37 45 52 73 59 N SD: 0.5350 c. M:-0.7091 c. 317: 37 39 47 55 77 62 N SD: 0.3968 c. M:-0.7071 c. 343: 40 42 51 60 83 67 N SD: 0.3685 c. M:-0.7647 c. 368: 43 45 55 64 89 72 N SD: 0.3427 c. M:-0.5682 c. 384: 45 47 57 67 93 75 N SD: 0.3923 c. M:-0.5692 c. 461: 54 56 69 80 112 90 N SD: 0.3823 c. M: 0.6560 c. 507: 59 62 76 88 123 99 N SD: 0.3823 c. M: 0.5995 c. 523: 61 64 78 91 127 102 N SD: 0.2302 c. M:-0.5105 c. 557: 65 68 83 97 135 109 N SD: 0.2750 c. M: 0.4551 c. 598: 70 73 89 104 145 117 N SD: 0.2252 c. M:-0.4125 c. 644: 75 79 96 112 156 126 N SD: 0.1669 c. M: 0.3042 c. 660: 77 81 98 115 160 129 N SD: 0.1686 c. M:-0.2827 c. 840: 98 103 125 146 204 164 N SD: 0.1428 c. M:-0.2592 c. 961: 112 118 143 167 233 188 N SD: 0.1605 c. M:-0.2108 c. 1028: 120 126 153 179 249 201 N SD: 0.1302 c. M:-0.2542 c. 1121: 131 137 167 195 272 219 N SD: 0.1031 c. M:-0.1762 c. 1208: 141 148 180 210 293 236 N SD: 0.0897 c. M:-0.1579 c. 1484: 173 182 221 258 360 290 N SD: 0.0801 c. M: 0.1636 c. 1585: 185 194 236 276 384 310 N SD: 0.0964 c. M: 0.1554 c. 1765: 206 216 263 307 428 345 N SD: 0.0330 c. M: 0.0779 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 13.7505 cents 3 x x 4 x 5:6 S SD: 29.0985 cents 4 x x 5:6:7:8 S SD: 21.0291 cents 5 x 6 x 7:9:10 SD: 27.3780 cents 6 x 7:8:9:10:12 S SD: 18.7420 cents 7 x 8:9:10:12:14 S SD: 18.2703 cents 8:9 x 10:12:14:16 S SD: 21.1215 cents 9:10:11:12:13:16:18 SD: 15.6858 cents 10:11:12:13:15:17:20 SD: 11.2100 cents 11:12:13:14:16:19:22 SD: 9.8291 cents 12:13:14:16:18:21:24 S SD: 7.8502 cents 16:17:19:21:24:28:32 SD: 7.7026 cents 21:23:25:27:31:37:42 SD: 6.8569 cents 22:24:26:29:32:38:44 SD: 6.0297 cents 23:25:27:30:34:40:46 SD: 2.3555 cents 48:52:57:63:71:84:96 SD: 2.1118 cents 55:60:65:72:81:96:110 SD: 1.9484 cents 59:64:70:77:87:103:118 SD: 1.7397 cents 61:66:72:80:90:107:122 SD: 1.5220 cents 71:77:84:93:105:124:142 SD: 0.8823 cents 84:91:99:110:124:147:168 SD: 0.7694 cents 94:102:111:123:139:164:188 SD: 0.6188 cents 143:155:169:187:211:250:286 SD: 0.5425 cents 155:168:183:203:229:271:310 SD: 0.4430 cents 166:180:196:217:245:290:332 SD: 0.3545 cents 178:193:210:233:263:311:356 SD: 0.2881 cents 311:337:367:407:459:543:622 SD: 0.2310 cents 321:348:379:420:474:561:642 SD: 0.2186 cents 344:373:406:450:508:601:688 SD: 0.1644 cents 489:530:577:640:722:854:978 SD: 0.1465 cents 521:565:615:682:769:910:1042 SD: 0.1177 cents 544:590:642:712:803:950:1088 SD: 0.1152 cents