Scala analysis: CD07_01_Egypt
Le rebelle d'autrefois s'est soumis - Les Bédouins du Fayyûm (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 337.229 cents 337.228571 2: 451.277 cents 451.276803 3: 598.636 cents 598.636364 4: 855.000 cents 855.000000 5: 1065.684 cents 1065.683761 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 134.3162 cents 134.3162 1: 337.2286 cents 337.2286 2: 114.0482 cents 114.0482 3: 147.3596 cents 147.3596 4: 256.3636 cents 256.3636 5: 210.6838 cents 210.6838 6: 134.3162 cents 134.3162
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 114.04823 cents 1: 1 134.31624 cents 1: 1 147.35956 cents 1: 1 210.68376 cents 1: 1 256.36364 cents 1: 1 337.22857 cents 2: 1 261.40779 cents 2: 1 345.00000 cents 2: 1 403.72320 cents 2: 1 451.27680 cents 2: 1 467.04740 cents 2: 1 471.54481 cents 3: 1 517.77143 cents 3: 1 585.59304 cents 3: 1 598.63636 cents 3: 1 601.36364 cents 3: 1 614.40696 cents 3: 1 682.22857 cents 4: 1 728.45519 cents 4: 1 732.95260 cents 4: 1 748.72320 cents 4: 1 796.27680 cents 4: 1 855.00000 cents 4: 1 938.59221 cents 5: 1 862.77143 cents 5: 1 943.63636 cents 5: 1 989.31624 cents 5: 1 1052.64044 cents 5: 1 1065.68376 cents 5: 1 1085.95177 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 : 337.2 451.3 598.6 855.0 1065.7 1200.0 337.2 : 114.0 261.4 517.8 728.5 862.8 1200.0 451.3 : 147.4 403.7 614.4 748.7 1086.0 1200.0 598.6 : 256.4 467.0 601.4 938.6 1052.6 1200.0 855.0 : 210.7 345.0 682.2 796.3 943.6 1200.0 1065.7: 134.3 471.5 585.6 733.0 989.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 114.0482 .. 337.2286 cents 223.18034 cents 114.04823 cents 2: 261.4078 .. 471.5448 cents 210.13702 cents -75.82078 cents 3: 517.7714 .. 682.2286 cents 164.45714 cents 46.22662 cents 4: 728.4552 .. 938.5922 cents 210.13702 cents 46.22662 cents 5: 862.7714 .. 1085.9518 cents 223.18034 cents -75.82078 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 114.04823 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 337.22857 cents Average / Smallest step : 1.753644 Largest / Average step : 1.686143 Largest / Smallest step : 2.956894 Median interval of one step : 179.02166 cents, amount: 0 Least squares average step : 208.61659 cents, oct.: 1251.69957 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : FACEDB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.04416 cents Scale diversity : 1.635809 Lumma stability : 0.267125 Lumma impropriety factor : 0.126368 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 : 2.72727 cents Number of recognisable fifths : 0 Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 2 0 1 1 1 1 N T3 SD: 48.1504 c. M: 65.6838 c. 8: 2 1 1 2 1 1 P B ME S SD: 24.6997 c. M:-45.0000 c. 10: 3 1 1 2 2 1 N T3 SD: 17.2016 c. M:-28.7232 c. 18: 5 2 2 4 3 2 N SD: 8.0721 c. M:-15.3899 c. 28: 8 3 3 6 5 3 N SD: 8.9184 c. M:-20.1518 c. 32: 9 3 4 7 5 4 N SD: 7.1390 c. M: 15.6838 c. 37: 10 4 4 8 7 4 N SD: 9.6098 c. M: 14.8526 c. 38: 11 3 5 8 7 4 N SD: 6.5626 c. M:-10.1399 c. 42: 12 4 5 9 7 5 N SD: 4.9243 c. M: 8.5409 c. 46: 13 4 6 10 8 5 N SD: 4.3934 c. M: 7.7985 c. 56: 16 5 7 12 10 6 N SD: 3.4825 c. M:-5.7448 c. 64: 18 6 8 14 11 7 N SD: 3.3964 c. M:-7.5000 c. 70: 20 6 9 15 12 8 N SD: 3.5838 c. M:-5.6286 c. 72: 20 7 9 15 13 8 N SD: 2.7273 c. M: 5.0000 c. 74: 21 7 9 16 13 8 N SD: 3.2006 c. M:-4.5865 c. 80: 22 8 10 17 14 9 N SD: 3.0608 c. M: 7.2286 c. 82: 23 8 10 17 15 9 N SD: 2.9843 c. M: 6.2195 c. 88: 25 8 11 19 15 10 N SD: 2.5154 c. M:-4.0909 c. 90: 25 9 11 19 16 10 N SD: 2.0415 c. M: 3.8952 c. 107: 30 10 13 23 19 12 N SD: 2.3437 c. M: 4.2438 c. 114: 32 11 14 24 20 13 N SD: 1.6245 c. M: 2.5259 c. 125: 35 12 15 27 22 14 N SD: 1.5106 c. M: 3.4364 c. 136: 38 13 17 29 24 15 N SD: 1.4062 c. M:-1.9633 c. 146: 41 14 18 31 26 16 N SD: 1.3203 c. M:-2.8094 c. 160: 45 15 20 34 28 18 N SD: 0.8196 c. M:-1.3636 c. 178: 50 17 22 38 31 20 N SD: 0.7859 c. M:-1.3636 c. 271: 76 26 33 58 48 30 N SD: 0.7834 c. M:-1.4749 c. 285: 80 27 35 61 50 32 N SD: 0.5015 c. M: 0.7505 c. 295: 83 28 36 63 52 33 N SD: 0.4579 c. M: 0.7627 c. 303: 85 29 37 65 53 34 N SD: 0.4262 c. M: 0.6166 c. 431: 121 41 53 92 76 48 N SD: 0.3371 c. M:-0.6735 c. 455: 128 43 56 97 80 51 N SD: 0.2859 c. M: 0.4945 c. 463: 130 44 57 99 81 52 N SD: 0.2825 c. M: 0.4570 c. 473: 133 45 58 101 83 53 N SD: 0.1650 c. M:-0.3088 c. 758: 213 72 93 162 133 85 N SD: 0.1487 c. M: 0.2484 c. 904: 254 86 111 193 159 101 N SD: 0.1193 c. M:-0.2454 c. 1064: 299 101 131 227 187 119 N SD: 0.1303 c. M:-0.2358 c. 1117: 314 106 137 239 196 125 N SD: 0.1287 c. M: 0.2478 c. 1189: 334 113 146 254 209 133 N SD: 0.1265 c. M: 0.1640 c. 1207: 339 115 148 258 212 135 N SD: 0.1098 c. M: 0.1946 c. 1231: 346 117 151 263 216 138 N SD: 0.1064 c. M: 0.2085 c. 1367: 384 130 168 292 240 153 N SD: 0.0669 c. M: 0.1401 c. 1377: 387 131 169 294 242 154 N SD: 0.0869 c. M:-0.1393 c. 1662: 467 158 204 355 292 186 N SD: 0.0645 c. M: 0.1264 c. 1822: 512 173 224 389 320 204 N SD: 0.0740 c. M: 0.1242 c. 1840: 517 175 226 393 323 206 N SD: 0.0371 c. M:-0.0593 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 51.6593 cents 3 x 4 x 5 x 6 S SD: 18.4065 cents 4:5 x 6 x 7:8 S SD: 37.4713 cents 5:6 x 7:8:9:10 S SD: 13.7771 cents 6:7:8 x 10:11:12 S SD: 18.1833 cents 7 x 9:10:11:13:14 SD: 15.3769 cents 8:10 x 11:13:15:16 SD: 14.6532 cents 9:11:12:13:15:17:18 SD: 12.7430 cents 10:12:13:14:16:19:20 SD: 11.1966 cents 13:16:17:18:21:24:26 SD: 8.4016 cents 14:17:18:20:23:26:28 SD: 4.3295 cents 24:29:31:34:39:44:48 SD: 4.2633 cents 27:33:35:38:44:50:54 SD: 2.6288 cents 41:50:53:58:67:76:82 SD: 1.8308 cents 60:73:78:85:98:111:120 SD: 1.3427 cents 61:74:79:86:100:113:122 SD: 1.0554 cents 80:97:104:113:131:148:160 SD: 0.8224 cents 94:114:122:133:154:174:188 SD: 0.6615 cents 121:147:157:171:198:224:242 SD: 0.4176 cents 208:253:270:294:341:385:416 SD: 0.3516 cents 232:282:301:328:380:429:464 SD: 0.3378 cents 252:306:327:356:413:466:504 SD: 0.3129 cents 269:327:349:380:441:498:538 SD: 0.2471 cents 288:350:374:407:472:533:576 SD: 0.1945 cents 349:424:453:493:572:646:698 SD: 0.1379 cents 470:571:610:664:770:870:940 SD: 0.1155 cents 581:706:754:821:952:1075:1162 SD: 0.0740 cents