Scala analysis: CD07_04_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: 166.468 cents 166.467606 2: 279.815 cents 279.815385 3: 443.183 cents 443.182833 4: 593.436 cents 593.436447 5: 730.295 cents 730.295368 6: 885.693 cents 885.693097 7: 1019.022 cents 1019.022394 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 180.9776 cents 180.9776 1: 166.4676 cents 166.4676 2: 113.3478 cents 113.3478 3: 163.3674 cents 163.3674 4: 150.2536 cents 150.2536 5: 136.8589 cents 136.8589 6: 155.3977 cents 155.3977 7: 133.3293 cents 133.3293 8: 180.9776 cents 180.9776
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 113.34778 cents 1: 1 133.32930 cents 1: 1 136.85892 cents 1: 1 150.25361 cents 1: 1 155.39773 cents 1: 1 163.36745 cents 1: 1 166.46761 cents 1: 1 180.97761 cents 2: 1 276.71523 cents 2: 1 279.81538 cents 2: 1 287.11254 cents 2: 1 288.72703 cents 2: 1 292.25665 cents 2: 1 313.62106 cents 2: 1 314.30690 cents 2: 1 347.44521 cents 3: 1 425.58595 cents 3: 1 426.96884 cents 3: 1 442.51026 cents 3: 1 443.18283 cents 3: 1 450.47998 cents 3: 1 460.79299 cents 3: 1 469.70463 cents 3: 1 480.77451 cents 4: 1 563.82776 cents 4: 1 575.83956 cents 4: 1 593.43645 cents 4: 1 594.12229 cents 4: 1 605.87771 cents 4: 1 606.56355 cents 4: 1 624.16044 cents 4: 1 636.17224 cents 5: 1 719.22549 cents 5: 1 730.29537 cents 5: 1 739.20701 cents 5: 1 749.52002 cents 5: 1 756.81717 cents 5: 1 757.48974 cents 5: 1 773.03116 cents 5: 1 774.41405 cents 6: 1 852.55479 cents 6: 1 885.69310 cents 6: 1 886.37894 cents 6: 1 907.74335 cents 6: 1 911.27297 cents 6: 1 912.88747 cents 6: 1 920.18462 cents 6: 1 923.28477 cents 7: 1 1019.02239 cents 7: 1 1033.53239 cents 7: 1 1036.63255 cents 7: 1 1044.60227 cents 7: 1 1049.74639 cents 7: 1 1063.14108 cents 7: 1 1066.67070 cents 7: 1 1086.65222 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 166.5 279.8 443.2 593.4 730.3 885.7 1019.0 1200.0 166.5 : 113.3 276.7 427.0 563.8 719.2 852.6 1033.5 1200.0 279.8 : 163.4 313.6 450.5 605.9 739.2 920.2 1086.7 1200.0 443.2 : 150.3 287.1 442.5 575.8 756.8 923.3 1036.6 1200.0 593.4 : 136.9 292.3 425.6 606.6 773.0 886.4 1049.7 1200.0 730.3 : 155.4 288.7 469.7 636.2 749.5 912.9 1063.1 1200.0 885.7 : 133.3 314.3 480.8 594.1 757.5 907.7 1044.6 1200.0 1019.0: 181.0 347.4 460.8 624.2 774.4 911.3 1066.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 113.3478 .. 180.9776 cents 67.62983 cents 113.34778 cents 2: 276.7152 .. 347.4452 cents 70.72999 cents 95.73762 cents 3: 425.5859 .. 480.7745 cents 55.18856 cents 78.14073 cents 4: 563.8278 .. 636.1722 cents 72.34448 cents 83.05325 cents 5: 719.2255 .. 774.4141 cents 55.18856 cents 83.05325 cents 6: 852.5548 .. 923.2848 cents 70.72999 cents 78.14073 cents 7: 1019.0224 .. 1086.6522 cents 67.62983 cents 95.73762 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 113.34778 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 180.97761 cents Average / Smallest step : 1.323361 Largest / Average step : 1.206517 Largest / Smallest step : 1.596658 Median interval of one step : 152.82567 cents, amount: 0 Least squares average step : 147.68718 cents, oct.: 1181.49744 cents Scale is strictly proper Step pattern alph. order: ABCDEFGH Step pattern size order : GAFDCEBH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 78.14073 cents Scale diversity : 1.406107 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.617132 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 0.67257 cents Number of recognisable fifths : 1, average 719.2255 cents Number of appreciable fifths : 0 Best fifths form a closed circle Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 17.0321 c. M:-30.9776 c. 20: 3 2 2 3 2 3 2 3 SP D3 SD: 13.6139 c. M: 23.1828 c. 22: 3 2 3 3 2 3 3 3 SP D3 S SD: 11.5450 c. M: 21.2045 c. 26: 4 2 4 3 3 3 3 4 SP T3 SD: 10.4556 c. M:-18.3556 c. 30: 4 3 4 4 3 4 3 5 SP T3 SD: 8.6265 c. M: 19.0224 c. 31: 4 3 4 4 4 4 3 5 SP D3 SD: 10.5205 c. M: 17.3764 c. 33: 5 3 4 4 4 4 4 5 SP SD: 9.4746 c. M:-15.3506 c. 34: 5 3 5 4 4 4 4 5 SP T3 SD: 8.2468 c. M:-15.6407 c. 35: 5 3 5 4 4 5 4 5 SP SD: 7.1028 c. M: 10.5793 c. 38: 5 4 5 5 4 5 4 6 SP T3 SD: 5.3300 c. M: 8.5729 c. 46: 6 5 6 6 5 6 5 7 SP T3 SD: 4.9669 c. M: 9.9459 c. 51: 7 5 7 6 6 7 5 8 SP SD: 4.6910 c. M:-8.4246 c. 57: 8 5 8 7 7 7 6 9 SP SD: 4.6839 c. M: 8.4961 c. 59: 8 6 8 7 7 8 6 9 SP SD: 4.5094 c. M:-9.2222 c. 64: 9 6 9 8 7 8 7 10 SP SD: 4.4724 c. M:-6.8172 c. 65: 9 6 9 8 7 9 7 10 SP SD: 4.1084 c. M: 10.2954 c. 72: 10 7 10 9 8 9 8 11 SP SD: 3.9102 c. M:-6.8172 c. 73: 10 7 10 9 8 10 8 11 SP SD: 2.7543 c. M: 7.0077 c. 74: 10 7 10 10 8 10 8 11 SP SD: 4.3707 c. M:-6.5636 c. 77: 11 7 10 10 9 10 8 12 SP SD: 3.8910 c. M: 6.8192 c. 79: 11 7 11 10 9 10 9 12 SP SD: 3.0524 c. M: 6.3977 c. 81: 11 8 11 10 9 11 9 12 SP SD: 2.6671 c. M: 4.3694 c. 87: 12 8 12 11 10 11 10 13 SP SD: 1.9948 c. M: 3.9533 c. 117: 16 11 16 15 13 15 13 18 SP SD: 2.5382 c. M: 3.6418 c. 121: 17 11 17 15 14 15 14 18 SP SD: 2.4871 c. M:-3.5889 c. 125: 17 12 17 16 14 16 14 19 SP SD: 1.8377 c. M: 3.2676 c. 133: 18 13 18 17 15 17 15 20 SP SD: 1.7550 c. M: 4.0616 c. 138: 19 13 19 17 16 18 15 21 SP SD: 1.2693 c. M: 2.1321 c. 146: 20 14 20 18 17 19 16 22 SP SD: 1.2771 c. M: 2.0840 c. 192: 27 18 26 24 22 25 21 29 SP SD: 1.2216 c. M:-2.2824 c. 194: 27 18 27 24 22 25 22 29 SP SD: 1.1923 c. M:-2.1780 c. 214: 30 20 29 27 24 28 24 32 SP SD: 1.0338 c. M:-1.7567 c. 232: 32 22 32 29 26 30 26 35 SP SD: 1.0147 c. M:-1.6448 c. 245: 34 23 33 31 28 32 27 37 SP SD: 0.9765 c. M: 2.3665 c. 253: 35 24 34 32 29 33 28 38 SP SD: 0.9347 c. M: 2.0761 c. 271: 38 25 37 34 31 35 30 41 SP SD: 0.7539 c. M:-1.7981 c. 279: 39 26 38 35 32 36 31 42 SP SD: 0.5844 c. M:-1.2743 c. 297: 41 28 41 37 34 38 33 45 SP SD: 0.8670 c. M:-1.2616 c. 301: 42 28 41 38 34 39 34 45 SP SD: 0.8444 c. M:-1.5756 c. 309: 43 29 42 39 35 40 34 47 SP SD: 0.6683 c. M: 1.5467 c. 312: 43 30 42 39 36 40 35 47 SP SD: 0.8331 c. M: 1.1288 c. 317: 44 30 43 40 36 41 35 48 SP SD: 0.4472 c. M:-0.8853 c. 352: 49 33 48 44 40 46 39 53 SP SD: 0.4432 c. M: 0.7499 c. 398: 55 38 54 50 45 52 44 60 SP SD: 0.5010 c. M:-0.7391 c. 404: 56 38 55 51 46 52 45 61 SP SD: 0.4533 c. M:-0.6230 c. 455: 63 43 62 57 52 59 50 69 SP SD: 0.4262 c. M: 1.0004 c. 463: 64 44 63 58 53 60 51 70 SP SD: 0.4194 c. M:-0.7000 c. 477: 66 45 65 60 54 62 53 72 SP SD: 0.4105 c. M: 0.7356 c. 485: 67 46 66 61 55 63 54 73 SP SD: 0.3638 c. M: 0.6944 c. 649: 90 61 89 81 74 84 72 98 SP SD: 0.3121 c. M: 0.6166 c. 656: 91 62 89 82 75 85 73 99 SP SD: 0.3737 c. M: 0.7535 c. 657: 91 62 90 82 75 85 73 99 SP SD: 0.3142 c. M:-0.6528 c. 661: 92 62 90 83 75 86 73 100 SP SD: 0.3660 c. M: 0.5655 c. 664: 92 63 90 83 76 86 74 100 SP SD: 0.3287 c. M: 0.6654 c. 669: 93 63 91 84 76 87 74 101 SP SD: 0.2459 c. M:-0.4056 c. 677: 94 64 92 85 77 88 75 102 SP SD: 0.2672 c. M:-0.5698 c. 756: 105 71 103 95 86 98 84 114 SP SD: 0.2275 c. M: 0.4503 c. 764: 106 72 104 96 87 99 85 115 SP SD: 0.2102 c. M:-0.3493 c. 874: 121 83 119 109 100 113 97 132 SP SD: 0.2410 c. M: 0.3349 c. 902: 125 85 123 113 103 117 100 136 SP SD: 0.2174 c. M: 0.4362 c. 973: 135 92 132 122 111 126 108 147 SP SD: 0.2294 c. M: 0.4285 c. 981: 136 93 133 123 112 127 109 148 SP SD: 0.1863 c. M: 0.3694 c. 1015: 141 96 138 127 116 131 113 153 SP SD: 0.2206 c. M:-0.3817 c. 1073: 149 101 146 135 122 139 119 162 SP SD: 0.2202 c. M:-0.4126 c. 1080: 150 102 147 135 123 140 120 163 SP SD: 0.1699 c. M: 0.2954 c. 1088: 151 103 148 136 124 141 121 164 SP SD: 0.1544 c. M:-0.3317 c. 1167: 162 110 159 146 133 151 130 176 SP SD: 0.1620 c. M: 0.3461 c. 1175: 163 111 160 147 134 152 131 177 SP SD: 0.1228 c. M: 0.2463 c. 1313: 182 124 179 164 150 170 146 198 SP SD: 0.1332 c. M: 0.2910 c. 1367: 190 129 186 171 156 177 152 206 SP SD: 0.1545 c. M:-0.3210 c. 1405: 195 133 191 176 160 182 156 212 SP SD: 0.1400 c. M:-0.3270 c. 1454: 202 137 198 182 166 188 162 219 SP SD: 0.1356 c. M:-0.2449 c. 1484: 206 140 202 186 169 192 165 224 SP SD: 0.1234 c. M: 0.2484 c. 1492: 207 141 203 187 170 193 166 225 SP SD: 0.0811 c. M: 0.1703 c. 1630: 226 154 222 204 186 211 181 246 SP SD: 0.0650 c. M: 0.1267 c. 1982: 275 187 270 248 226 257 220 299 SP SD: 0.0742 c. M: 0.1238 c. 1990: 276 188 271 249 227 258 221 300 SP SD: 0.0645 c. M:-0.1360 c. 2307: 320 218 314 289 263 299 256 348 SP SD: 0.0547 c. M:-0.1327 c. 2394: 332 226 326 300 273 310 266 361 SP SD: 0.0570 c. M: 0.1161 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 14.1702 cents 3 x x 4 x x 5 x 6 S SD: 18.2928 cents 4 x x 5 x 6 x 7:8 S SD: 20.2438 cents 5 x 6 x 7 x 8:9:10 S SD: 16.2356 cents 6 x 7:8 x 9:10:11:12 S SD: 11.6701 cents 7 x 8:9:10:11:12:13:14 S SD: 14.8185 cents 8:9 x 10:11:12:13:14:16 S SD: 15.5003 cents 9:10:11:12:13:14:15:16:18 S SD: 13.3601 cents 10:11:12:13:14:15:17:18:20 SD: 7.3074 cents 17:19:20:22:24:26:28:31:34 SD: 5.0827 cents 21:23:25:27:30:32:35:38:42 SD: 4.4587 cents 27:30:32:35:38:41:45:49:54 SD: 3.3411 cents 30:33:35:39:42:46:50:54:60 SD: 2.8197 cents 39:43:46:50:55:59:65:70:78 SD: 2.6299 cents 40:44:47:52:56:61:67:72:80 SD: 2.1613 cents 51:56:60:66:72:78:85:92:102 SD: 1.1251 cents 69:76:81:89:97:105:115:124:138 SD: 0.9484 cents 90:99:106:116:127:137:150:162:180 SD: 0.8710 cents 120:132:141:155:169:183:200:216:240 SD: 0.3272 cents 257:283:302:332:362:392:429:463:514 SD: 0.2068 cents 347:382:408:448:489:529:579:625:694 SD: 0.1746 cents 377:415:443:487:531:575:629:679:754 SD: 0.1370 cents 467:514:549:603:658:712:779:841:934 SD: 0.1363 cents 484:533:569:625:682:738:807:872:968 SD: 0.1329 cents 524:577:616:677:738:799:874:944:1048 SD: 0.0968 cents