Scala analysis: CD04_02_Egypt
Suite - Dâwûd Khudr Husnî (hijaz, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 139.574 cents 139.574206 2: 336.682 cents 336.681842 3: 744.875 cents 744.874639 4: 838.040 cents 838.040018 5: 1055.340 cents 1055.340118 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 144.6599 cents 144.6599 1: 139.5742 cents 139.5742 2: 197.1076 cents 197.1076 3: 408.1928 cents 408.1928 4: 93.1654 cents 93.1654 5: 217.3001 cents 217.3001 6: 144.6599 cents 144.6599
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 93.16538 cents 1: 1 139.57421 cents 1: 1 144.65988 cents 1: 1 197.10764 cents 1: 1 217.30010 cents 1: 1 408.19280 cents 2: 1 284.23409 cents 2: 1 310.46548 cents 2: 1 336.68184 cents 2: 1 361.95998 cents 2: 1 501.35818 cents 2: 1 605.30043 cents 3: 1 455.12536 cents 3: 1 481.34172 cents 3: 1 501.53419 cents 3: 1 698.46581 cents 3: 1 718.65828 cents 3: 1 744.87464 cents 4: 1 594.69957 cents 4: 1 698.64182 cents 4: 1 838.04002 cents 4: 1 863.31816 cents 4: 1 889.53452 cents 4: 1 915.76591 cents 5: 1 791.80720 cents 5: 1 982.69990 cents 5: 1 1002.89236 cents 5: 1 1055.34012 cents 5: 1 1060.42579 cents 5: 1 1106.83462 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 : 139.6 336.7 744.9 838.0 1055.3 1200.0 139.6 : 197.1 605.3 698.5 915.8 1060.4 1200.0 336.7 : 408.2 501.4 718.7 863.3 1002.9 1200.0 744.9 : 93.2 310.5 455.1 594.7 791.8 1200.0 838.0 : 217.3 362.0 501.5 698.6 1106.8 1200.0 1055.3: 144.7 284.2 481.3 889.5 982.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 93.1654 .. 408.1928 cents 315.02742 cents 93.16538 cents 2: 284.2341 .. 605.3004 cents 321.06635 cents -123.95871 cents 3: 455.1254 .. 744.8746 cents 289.74928 cents -150.17507 cents 4: 594.6996 .. 915.7659 cents 321.06635 cents -150.17507 cents 5: 791.8072 .. 1106.8346 cents 315.02742 cents -123.95871 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 93.16538 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 408.19280 cents Average / Smallest step : 2.146720 Largest / Average step : 2.040964 Largest / Smallest step : 4.381379 Median interval of one step : 170.88376 cents, amount: 0 Least squares average step : 207.43321 cents, oct.: 1244.59928 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BDFAEC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.17601 cents Scale diversity : 1.692854 Lumma stability : 0.155276 Lumma impropriety factor : 0.448056 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 : 0.17601 cents Number of recognisable fifths : 3, average 705.2553 cents Number of appreciable fifths : 2, average 698.5538 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 2 0 1 1 N T3 SD: 50.3469 c. M:-63.3182 c. 7: 1 1 2 1 1 1 P M ME SD: 30.6438 c. M: 59.1604 c. 8: 1 1 3 1 1 1 N M DE SD: 29.8554 c. M:-61.9600 c. 10: 1 2 3 1 2 1 N SD: 18.9631 c. M: 24.8746 c. 16: 2 2 6 1 3 2 N SD: 16.7286 c. M: 36.6818 c. 17: 2 3 6 1 3 2 N SD: 15.0483 c. M:-31.5959 c. 18: 2 3 6 2 3 2 N SD: 13.7304 c. M:-28.6266 c. 19: 2 3 7 1 4 2 N SD: 15.3127 c. M: 20.8924 c. 24: 3 4 8 2 4 3 N SD: 8.9805 c. M:-13.3182 c. 26: 3 4 9 2 5 3 N SD: 7.2886 c. M: 13.6049 c. 32: 4 5 11 2 6 4 N SD: 7.4632 c. M: 13.0400 c. 39: 4 7 13 3 7 5 N SD: 8.6959 c. M: 16.4973 c. 40: 5 6 14 3 7 5 N SD: 5.9438 c. M:-10.4258 c. 42: 5 7 14 3 8 5 N SD: 4.9310 c. M: 9.4686 c. 43: 5 7 15 3 8 5 N SD: 4.1711 c. M:-8.6137 c. 50: 6 8 17 4 9 6 N SD: 2.0451 c. M:-4.4258 c. 92: 11 15 31 7 17 11 N SD: 2.4219 c. M:-3.9041 c. 93: 11 15 32 7 17 11 N SD: 2.1299 c. M:-3.5125 c. 103: 12 17 35 8 19 12 N SD: 2.0903 c. M:-4.8541 c. 110: 13 18 37 9 20 13 N SD: 2.1811 c. M: 3.0565 c. 122: 14 20 42 9 22 15 N SD: 2.1560 c. M: 2.8811 c. 127: 15 21 43 10 23 15 N SD: 2.4580 c. M:-3.4756 c. 129: 15 21 44 10 23 16 N SD: 1.9083 c. M: 4.1773 c. 132: 15 22 45 10 24 16 N SD: 1.5377 c. M: 3.2106 c. 135: 16 22 46 10 25 16 N SD: 1.9807 c. M:-2.6480 c. 139: 16 23 47 11 25 17 N SD: 1.4608 c. M: 2.4286 c. 156: 18 26 53 12 28 19 N SD: 1.1868 c. M:-1.7797 c. 182: 21 30 62 14 33 22 N SD: 0.5860 c. M: 1.1127 c. 232: 27 38 79 18 42 28 N SD: 0.2138 c. M: 0.4749 c. 414: 48 68 141 32 75 50 N SD: 0.3169 c. M: 0.4500 c. 474: 55 78 161 37 86 57 N SD: 0.3080 c. M: 0.5708 c. 514: 60 84 175 40 93 62 N SD: 0.2975 c. M:-0.5036 c. 620: 72 102 211 48 112 75 N SD: 0.2552 c. M: 0.5014 c. 646: 75 106 220 50 117 78 N SD: 0.2589 c. M: 0.4589 c. 670: 78 110 228 52 121 81 N SD: 0.2073 c. M: 0.4147 c. 680: 79 112 231 53 123 82 N SD: 0.1988 c. M:-0.3770 c. 723: 84 119 246 56 131 87 N SD: 0.2224 c. M:-0.3536 c. 730: 85 120 248 57 132 88 N SD: 0.2093 c. M:-0.3161 c. 773: 90 127 263 60 140 93 N SD: 0.2147 c. M:-0.2873 c. 852: 99 140 290 66 154 103 N SD: 0.1957 c. M: 0.4105 c. 862: 100 142 293 67 156 104 N SD: 0.1821 c. M: 0.3631 c. 902: 105 148 307 70 163 109 N SD: 0.1703 c. M: 0.3512 c. 912: 106 150 310 71 165 110 N SD: 0.1115 c. M:-0.1603 c. 1144: 133 188 389 89 207 138 N SD: 0.0748 c. M: 0.1194 c. 1376: 160 226 468 107 249 166 N SD: 0.0698 c. M: 0.1076 c. 1917: 223 315 652 149 347 231 N SD: 0.0766 c. M:-0.1446 c. 1943: 226 319 661 151 352 234 N SD: 0.0732 c. M:-0.1411 c. 2099: 244 345 714 163 380 253 N SD: 0.0535 c. M: 0.0792 c. 2149: 250 353 731 167 389 259 N SD: 0.0541 c. M:-0.1173 c. 2331: 271 383 793 181 422 281 N SD: 0.0383 c. M: 0.0633 c. 2381: 277 391 810 185 431 287 N SD: 0.0429 c. M:-0.0952 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 21.4598 cents 3 x 4 x 5 x 6 S SD: 55.9598 cents 4 x 5:6 x 7:8 S SD: 27.1456 cents 5 x 6 x 8:9:10 S SD: 12.4006 cents 6 x 7:9:10:11:12 SD: 18.8646 cents 7:8:9:11 x 13:14 SD: 28.1114 cents 8:9:10:12:13:15:16 SD: 16.2745 cents 9:10:11:14:15:17:18 SD: 13.5251 cents 10:11:12:15:16:18:20 S SD: 11.7251 cents 11:12:13:17:18:20:22 SD: 9.2473 cents 13:14:16:20:21:24:26 S SD: 4.5493 cents 24:26:29:37:39:44:48 SD: 2.0095 cents 37:40:45:57:60:68:74 SD: 1.0649 cents 61:66:74:94:99:112:122 SD: 1.0643 cents 93:101:113:143:151:171:186 SD: 0.6021 cents 130:141:158:200:211:239:260 SD: 0.3514 cents 201:218:244:309:326:370:402 SD: 0.3349 cents 214:232:260:329:347:394:428 SD: 0.3217 cents 238:258:289:366:386:438:476 SD: 0.2043 cents 331:359:402:509:537:609:662 SD: 0.1856 cents 368:399:447:566:597:677:736 SD: 0.1248 cents 536:581:651:824:870:986:1072 SD: 0.1102 cents 549:595:667:844:891:1010:1098 SD: 0.1095 cents 573:621:696:881:930:1054:1146 SD: 0.0940 cents