Scala analysis: CD07_06_Egypt
Suite - 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: 126.637 cents 126.636614 2: 458.017 cents 458.016598 3: 953.397 cents 953.397411 4: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 246.6026 cents 246.6026 1: 126.6366 cents 126.6366 2: 331.3800 cents 331.3800 3: 495.3808 cents 495.3808 4: 246.6026 cents 246.6026
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 126.63661 cents 1: 1 246.60259 cents 1: 1 331.37998 cents 1: 1 495.38081 cents 2: 1 373.23920 cents 2: 1 458.01660 cents 2: 1 741.98340 cents 2: 1 826.76080 cents 3: 1 704.61919 cents 3: 1 868.62002 cents 3: 1 953.39741 cents 3: 1 1073.36339 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 126.6 458.0 953.4 1200.0 126.6 : 331.4 826.8 1073.4 1200.0 458.0 : 495.4 742.0 868.6 1200.0 953.4 : 246.6 373.2 704.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 126.6366 .. 495.3808 cents 368.74420 cents 126.63661 cents 2: 373.2392 .. 826.7608 cents 453.52159 cents -122.14161 cents 3: 704.6192 .. 1073.3634 cents 368.74420 cents -122.14161 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 126.63661 cents, class 1 Average step (divided formal octave): 300.0000 cents Largest one step interval : 495.38081 cents Average / Smallest step : 2.368983 Largest / Average step : 1.651269 Largest / Smallest step : 3.911829 Median interval of one step : 288.99129 cents, amount: 0 Least squares average step : 290.09540 cents, oct.: 1160.38161 cents Scale is not proper Step pattern alph. order: ABCD Step pattern size order : ACDB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 37.36421 cents Scale diversity : 1.682918 Lumma stability : 0.211061 Lumma impropriety factor : 0.203569 Rothenberg efficiency : 0.500000 redundancy: 0.500000 Efficiency x scale size : 2.000000 Number of different interval sizes : 12 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 37.36421 cents Number of recognisable fifths : 1, average 704.6192 cents Formal octave complements present : 1 = 25.0000% -- Rational properties --
FIT/MODE
4: 0 1 2 1 N D3 SD: 104.7107 c. M: 158.0166 c. 5: 1 1 2 1 P M ME SD: 57.8319 c. M:-113.3634 c. 6: 1 1 3 1 N M DE SD: 52.2492 c. M:-73.3634 c. 8: 1 2 3 2 P G D3 SD: 29.4168 c. M: 53.3974 c. 9: 1 2 4 2 N D3 SD: 30.8761 c. M: 58.0166 c. 10: 1 3 4 2 N SD: 11.9468 c. M:-21.9834 c. 18: 2 5 7 4 N SD: 11.4263 c. M: 20.0641 c. 19: 2 5 8 4 N SD: 8.5091 c. M: 15.9113 c. 26: 3 7 11 5 N SD: 10.0365 c. M:-15.8334 c. 28: 3 8 11 6 N SD: 8.5837 c. M:-13.4120 c. 29: 3 8 12 6 N SD: 2.0696 c. M: 2.8442 c. 68: 7 19 28 14 N SD: 1.6213 c. M: 3.1072 c. 97: 10 27 40 20 N SD: 1.5257 c. M: 2.9253 c. 102: 11 28 42 21 N SD: 1.4629 c. M:-2.7752 c. 112: 12 31 46 23 N SD: 1.6622 c. M:-2.6977 c. 113: 12 31 47 23 N SD: 1.4215 c. M:-2.3548 c. 121: 13 33 50 25 N SD: 1.6061 c. M:-2.2890 c. 123: 13 34 51 25 N SD: 1.3783 c. M:-2.7001 c. 126: 13 35 52 26 N SD: 1.5644 c. M: 2.8271 c. 131: 14 36 54 27 N SD: 0.8819 c. M:-1.6077 c. 141: 15 39 58 29 N SD: 0.9375 c. M:-1.5579 c. 160: 17 44 66 33 N SD: 0.6741 c. M: 0.8974 c. 170: 18 47 70 35 N SD: 0.5093 c. M:-0.8069 c. 199: 21 55 82 41 N SD: 0.3453 c. M: 0.6336 c. 312: 33 86 129 64 N SD: 0.3117 c. M:-0.4487 c. 322: 34 89 133 66 N SD: 0.3709 c. M:-0.6399 c. 341: 36 94 141 70 N SD: 0.3019 c. M: 0.5386 c. 351: 37 97 145 72 N SD: 0.2407 c. M:-0.4487 c. 380: 40 105 157 78 N SD: 0.2236 c. M: 0.3208 c. 482: 51 133 199 99 N SD: 0.1831 c. M:-0.3343 c. 511: 54 141 211 105 N SD: 0.0989 c. M:-0.1736 c. 550: 58 152 227 113 N SD: 0.0986 c. M:-0.1652 c. 579: 61 160 239 119 N SD: 0.1071 c. M: 0.2117 c. 710: 75 196 293 146 N SD: 0.1006 c. M: 0.1580 c. 862: 91 238 356 177 N SD: 0.1022 c. M:-0.1989 c. 891: 94 246 368 183 N SD: 0.0884 c. M:-0.1379 c. 1032: 109 285 426 212 N SD: 0.0935 c. M:-0.1229 c. 1061: 112 293 438 218 N SD: 0.0350 c. M:-0.0427 c. 1090: 115 301 450 224 N SD: 0.0234 c. M: 0.0349 c. 2151: 227 594 888 442 N SD: 0.0100 c. M:-0.0196 c.
FIT/HARMONIC
1 x x x 2 S SD: 0.0000 cents 2 x 3 x 4 S SD: 121.9692 cents 3 x 4:5:6 S SD: 26.6012 cents 4 x 5:7:8 SD: 24.4480 cents 5 x 7:9:10 SD: 46.6912 cents 6:7:8:10:12 S SD: 40.3378 cents 7:8:9:12:14 S SD: 27.2314 cents 8:9:10:14:16 SD: 26.6347 cents 9:10:12:16:18 S SD: 20.2097 cents 10:11:13:17:20 SD: 12.9771 cents 11:12:14:19:22 SD: 11.9081 cents 12:13:16:21:24 SD: 11.1321 cents 13:14:17:23:26 SD: 8.7455 cents 14:15:18:24:28 S SD: 7.8599 cents 16:17:21:28:32 SD: 7.3783 cents 23:25:30:40:46 SD: 4.6052 cents 26:28:34:45:52 SD: 1.8968 cents 53:57:69:92:106 SD: 0.5003 cents 79:85:103:137:158 SD: 0.3213 cents 132:142:172:229:264 SD: 0.1218 cents 565:608:736:980:1130 SD: 0.1107 cents 568:611:740:985:1136 SD: 0.1100 cents 591:636:770:1025:1182 SD: 0.1063 cents