Scala analysis: CD04_01_Egypt
L'être aux beautés uniques est apparu - Dâwûd Khudr Husnî (hijaz, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 138.592 cents 138.591528 2: 345.430 cents 345.430319 3: 742.020 cents 742.019701 4: 844.118 cents 844.118452 5: 1057.816 cents 1057.815568 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 142.1844 cents 142.1844 1: 138.5915 cents 138.5915 2: 206.8388 cents 206.8388 3: 396.5894 cents 396.5894 4: 102.0988 cents 102.0988 5: 213.6971 cents 213.6971 6: 142.1844 cents 142.1844
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 102.09875 cents 1: 1 138.59153 cents 1: 1 142.18443 cents 1: 1 206.83879 cents 1: 1 213.69712 cents 1: 1 396.58938 cents 2: 1 280.77596 cents 2: 1 315.79587 cents 2: 1 345.43032 cents 2: 1 355.88155 cents 2: 1 498.68813 cents 2: 1 603.42817 cents 3: 1 457.98030 cents 3: 1 487.61475 cents 3: 1 494.47308 cents 3: 1 705.52692 cents 3: 1 712.38525 cents 3: 1 742.01970 cents 4: 1 596.57183 cents 4: 1 701.31187 cents 4: 1 844.11845 cents 4: 1 854.56968 cents 4: 1 884.20413 cents 4: 1 919.22404 cents 5: 1 803.41062 cents 5: 1 986.30288 cents 5: 1 993.16121 cents 5: 1 1057.81557 cents 5: 1 1061.40847 cents 5: 1 1097.90125 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 : 138.6 345.4 742.0 844.1 1057.8 1200.0 138.6 : 206.8 603.4 705.5 919.2 1061.4 1200.0 345.4 : 396.6 498.7 712.4 854.6 993.2 1200.0 742.0 : 102.1 315.8 458.0 596.6 803.4 1200.0 844.1 : 213.7 355.9 494.5 701.3 1097.9 1200.0 1057.8: 142.2 280.8 487.6 884.2 986.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 102.0988 .. 396.5894 cents 294.49063 cents 102.09875 cents 2: 280.7760 .. 603.4282 cents 322.65221 cents -115.81342 cents 3: 457.9803 .. 742.0197 cents 284.03940 cents -145.44787 cents 4: 596.5718 .. 919.2240 cents 322.65221 cents -145.44787 cents 5: 803.4106 .. 1097.9012 cents 294.49063 cents -115.81342 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 102.09875 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 396.58938 cents Average / Smallest step : 1.958888 Largest / Average step : 1.982947 Largest / Smallest step : 3.884371 Median interval of one step : 174.51161 cents, amount: 0 Least squares average step : 207.92377 cents, oct.: 1247.54261 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 4.21506 cents Scale diversity : 1.631831 Lumma stability : 0.170165 Lumma impropriety factor : 0.429722 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 : 3.59290 cents Number of recognisable fifths : 3, average 706.4080 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 2 0 1 1 N T3 SD: 50.6617 c. M:-61.4085 c. 7: 1 1 2 1 1 1 P M ME SD: 29.6649 c. M: 56.3054 c. 8: 1 1 3 1 1 1 N M DE SD: 30.1153 c. M:-55.8815 c. 10: 1 2 3 1 2 1 N SD: 16.0826 c. M:-22.1844 c. 16: 2 3 5 1 3 2 N SD: 15.7840 c. M:-29.5697 c. 17: 2 3 6 1 3 2 N SD: 14.4892 c. M:-34.4509 c. 18: 2 3 6 2 3 2 N SD: 11.8054 c. M:-22.5482 c. 24: 3 4 8 2 4 3 N SD: 7.1925 c. M:-11.4085 c. 34: 4 6 11 3 6 4 N SD: 3.4992 c. M:-7.5109 c. 53: 6 9 18 4 10 6 N SD: 4.9774 c. M: 6.3826 c. 58: 7 10 19 5 10 7 N SD: 4.2945 c. M:-6.2938 c. 60: 7 10 20 5 11 7 N SD: 3.0899 c. M: 5.4303 c. 70: 8 12 23 6 13 8 N SD: 3.5328 c. M:-5.0416 c. 76: 9 13 25 6 14 9 N SD: 3.3927 c. M: 7.2763 c. 77: 9 13 26 6 14 9 N SD: 3.0564 c. M:-6.0322 c. 84: 10 14 28 7 15 10 N SD: 2.1433 c. M:-4.2656 c. 87: 10 15 29 7 16 10 N SD: 2.3902 c. M:-4.2534 c. 94: 11 16 31 8 17 11 N SD: 1.4148 c. M:-1.8340 c. 118: 14 20 39 10 21 14 N SD: 1.5584 c. M:-3.7814 c. 128: 15 22 42 11 23 15 N SD: 1.3376 c. M:-2.0335 c. 175: 20 30 58 15 31 21 N SD: 1.5594 c. M: 2.5732 c. 176: 20 31 58 15 31 21 N SD: 1.5476 c. M:-2.2970 c. 178: 21 30 59 15 32 21 N SD: 1.5317 c. M:-2.9815 c. 183: 21 32 60 16 32 22 N SD: 1.5172 c. M:-2.1107 c. 191: 22 33 63 16 34 23 N SD: 1.3509 c. M: 2.3182 c. 192: 22 33 64 16 34 23 N SD: 1.2646 c. M:-1.7303 c. 199: 23 34 66 17 35 24 N SD: 1.2580 c. M: 2.5392 c. 202: 23 35 67 17 36 24 N SD: 0.9458 c. M: 1.9579 c. 209: 24 36 69 18 37 25 N SD: 0.9282 c. M: 1.3562 c. 226: 26 39 75 19 40 27 N SD: 0.7733 c. M:-1.3431 c. 236: 27 41 78 20 42 28 N SD: 0.5733 c. M: 1.3034 c. 243: 28 42 80 21 43 29 N SD: 0.7021 c. M: 1.2790 c. 260: 30 45 86 22 46 31 N SD: 0.6710 c. M:-1.0572 c. 270: 31 47 89 23 48 32 N SD: 0.6244 c. M:-1.2363 c. 296: 34 51 98 25 53 35 N SD: 0.5964 c. M: 0.8752 c. 320: 37 55 106 27 57 38 N SD: 0.3357 c. M:-0.4803 c. 330: 38 57 109 28 59 39 N SD: 0.3097 c. M: 0.4821 c. 354: 41 61 117 30 63 42 N SD: 0.2666 c. M:-0.3915 c. 590: 68 102 195 50 105 70 N SD: 0.2434 c. M:-0.3532 c. 650: 75 112 215 55 116 77 N SD: 0.2071 c. M: 0.4261 c. 684: 79 118 226 58 122 81 N SD: 0.1380 c. M: 0.2588 c. 893: 103 154 295 76 159 106 N SD: 0.1900 c. M: 0.2568 c. 927: 107 160 306 79 165 110 N SD: 0.1714 c. M: 0.2721 c. 1004: 116 173 332 85 179 119 N SD: 0.1507 c. M: 0.2938 c. 1022: 118 176 338 87 182 121 N SD: 0.1148 c. M: 0.2248 c. 1056: 122 182 349 90 188 125 N SD: 0.1020 c. M:-0.1997 c. 1352: 156 233 447 115 241 160 N SD: 0.1118 c. M:-0.1726 c. 1376: 159 237 455 117 245 163 N SD: 0.0760 c. M:-0.1315 c. 1619: 187 279 535 138 288 192 N SD: 0.0761 c. M: 0.1256 c. 1706: 197 294 564 145 304 202 N SD: 0.0574 c. M:-0.0977 c. 1740: 201 300 575 148 310 206 N SD: 0.0640 c. M:-0.1155 c. 1949: 225 336 644 166 347 231 N SD: 0.0516 c. M: 0.1008 c. 2269: 262 391 750 193 404 269 N SD: 0.0520 c. M: 0.0809 c. 2303: 266 397 761 196 410 273 N SD: 0.0324 c. M: 0.0648 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 20.0324 cents 3 x 4 x 5 x 6 S SD: 52.6102 cents 4 x 5:6 x 7:8 S SD: 26.4525 cents 5 x 6 x 8:9:10 S SD: 14.6439 cents 6 x 7:9:10:11:12 SD: 19.4602 cents 7:8:9:11 x 13:14 SD: 27.1589 cents 8:9:10:12:13:15:16 SD: 15.3509 cents 9:10:11:14:15:17:18 SD: 12.8406 cents 10:11:12:15:16:18:20 S SD: 12.6204 cents 11:12:13:17:18:20:22 SD: 10.5848 cents 13:14:16:20:21:24:26 S SD: 3.8101 cents 24:26:29:37:39:44:48 SD: 3.5582 cents 32:35:39:49:52:59:64 SD: 2.9643 cents 36:39:44:55:59:66:72 SD: 2.7304 cents 37:40:45:57:60:68:74 SD: 2.1260 cents 45:49:55:69:73:83:90 SD: 1.9223 cents 49:53:60:75:80:90:98 SD: 1.7356 cents 59:64:72:91:96:109:118 SD: 1.6436 cents 62:67:76:95:101:114:124 SD: 1.5871 cents 71:77:87:109:116:131:142 SD: 1.5314 cents 73:79:89:112:119:134:146 SD: 1.2135 cents 86:93:105:132:140:158:172 SD: 0.9584 cents 95:103:116:146:155:175:190 SD: 0.6955 cents 108:117:132:166:176:199:216 SD: 0.5386 cents 159:172:194:244:259:293:318 SD: 0.4801 cents 191:207:233:293:311:352:382 SD: 0.3361 cents 204:221:249:313:332:376:408 SD: 0.2641 cents 299:324:365:459:487:551:598 SD: 0.1283 cents 576:624:703:884:938:1061:1152 SD: 0.1202 cents 589:638:719:904:959:1085:1178 SD: 0.0894 cents