Scala analysis: CD04_05_Egypt
J'ai bu la patience jusqu'à la lie - Dâwûd Khudr Husnî (ushshaq misri, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 194.129 cents 194.129453 2: 449.538 cents 449.538462 3: 483.440 cents 483.439570 4: 702.626 cents 702.625873 5: 909.110 cents 909.109890 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 290.8901 cents 290.8901 1: 194.1295 cents 194.1295 2: 255.4090 cents 255.4090 3: 33.9011 cents 33.9011 4: 219.1863 cents 219.1863 5: 206.4840 cents 206.4840 6: 290.8901 cents 290.8901
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 33.90111 cents 1: 1 194.12945 cents 1: 1 206.48402 cents 1: 1 219.18630 cents 1: 1 255.40901 cents 1: 1 290.89011 cents 2: 1 253.08741 cents 2: 1 289.31012 cents 2: 1 425.67032 cents 2: 1 449.53846 cents 2: 1 485.01956 cents 2: 1 497.37413 cents 3: 1 459.57143 cents 3: 1 483.43957 cents 3: 1 508.49642 cents 3: 1 691.50358 cents 3: 1 716.56043 cents 3: 1 740.42857 cents 4: 1 702.62587 cents 4: 1 714.98044 cents 4: 1 750.46154 cents 4: 1 774.32968 cents 4: 1 910.68988 cents 4: 1 946.91259 cents 5: 1 909.10989 cents 5: 1 944.59099 cents 5: 1 980.81370 cents 5: 1 993.51598 cents 5: 1 1005.87055 cents 5: 1 1166.09889 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 : 194.1 449.5 483.4 702.6 909.1 1200.0 194.1 : 255.4 289.3 508.5 715.0 1005.9 1200.0 449.5 : 33.9 253.1 459.6 750.5 944.6 1200.0 483.4 : 219.2 425.7 716.6 910.7 1166.1 1200.0 702.6 : 206.5 497.4 691.5 946.9 980.8 1200.0 909.1 : 290.9 485.0 740.4 774.3 993.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 33.9011 .. 290.8901 cents 256.98900 cents 33.90111 cents 2: 253.0874 .. 497.3741 cents 244.28672 cents -37.80270 cents 3: 459.5714 .. 740.4286 cents 280.85714 cents -37.80270 cents 4: 702.6259 .. 946.9126 cents 244.28672 cents -37.80270 cents 5: 909.1099 .. 1166.0989 cents 256.98900 cents -37.80270 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 33.90111 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 290.89011 cents Average / Smallest step : 5.899512 Largest / Average step : 1.454451 Largest / Smallest step : 8.580549 Median interval of one step : 212.83516 cents, amount: 0 Least squares average step : 187.90745 cents, oct.: 1127.44471 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BEADCF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.57999 cents Scale diversity : 1.334732 Lumma stability : 0.056502 Lumma impropriety factor : 0.126009 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 : 1.57999 cents Number of recognisable fifths : 4, average 706.4176 cents Number of appreciable fifths : 2, average 697.0647 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 256.9890 cents: 5 -- Rational properties --
FIT/MODE
6: 1 1 0 1 1 2 N D3 SD: 72.9014 c. M: 109.1099 c. 7: 1 2 0 1 1 2 N SD: 37.9596 c. M:-64.7473 c. 8: 1 2 0 2 1 2 P D3 SD: 29.9809 c. M:-47.3741 c. 10: 2 2 0 2 2 2 P M DE SD: 31.4524 c. M:-50.8901 c. 12: 2 2 1 2 2 3 P G D3 SD: 21.8046 c. M: 49.5385 c. Arezzo Major Diatonic Hexachord, Guidonian Hexachord, Scottish Hexatonic, Raga Kambhoji, Devarangini, Hem Kalyan, Sama (Syama) 13: 2 3 0 3 2 3 P SD: 19.1200 c. M:-35.8357 c. 15: 2 4 0 3 2 4 N SD: 23.2873 c. M: 34.1295 c. 16: 2 4 0 3 3 4 N SD: 25.5343 c. M: 44.1295 c. 17: 3 3 1 3 3 4 P G D3 SD: 14.0534 c. M: 26.0091 c. 19: 3 4 1 3 3 5 N SD: 14.3493 c. M: 24.8994 c. 21: 3 5 0 4 4 5 N SD: 16.2145 c. M: 26.2967 c. 22: 4 4 1 4 4 5 P G D3 SD: 14.0212 c. M:-24.0524 c. 24: 4 5 1 4 4 6 N SD: 8.1528 c. M:-16.5604 c. 29: 5 6 1 5 5 7 N SD: 7.8408 c. M:-13.1122 c. 32: 5 7 1 6 5 8 N SD: 6.3395 c. M:-9.8741 c. 37: 6 8 1 7 6 9 N SD: 4.9906 c. M:-10.8876 c. 38: 6 8 1 7 7 9 N SD: 6.8185 c. M: 9.7554 c. 42: 7 9 1 8 7 10 N SD: 6.5854 c. M:-11.6598 c. 45: 7 10 1 8 8 11 N SD: 5.3890 c. M: 9.2925 c. 48: 8 10 1 9 8 12 N SD: 5.7124 c. M: 9.1099 c. 49: 8 10 2 9 8 12 N SD: 5.5683 c. M: 8.7221 c. 50: 8 11 1 9 9 12 N SD: 4.2890 c. M: 6.6259 c. 57: 9 12 2 10 10 14 N SD: 5.0754 c. M: 7.8890 c. 58: 9 13 1 11 10 14 N SD: 5.0683 c. M: 7.9226 c. 61: 10 13 2 11 10 15 N SD: 4.7224 c. M:-8.3637 c. 62: 10 13 2 11 11 15 N SD: 3.0069 c. M: 5.8517 c. 67: 11 14 2 12 12 16 N SD: 2.8034 c. M:-4.3229 c. 70: 11 15 2 13 12 17 N SD: 3.1008 c. M: 5.5580 c. 75: 12 16 2 14 13 18 N SD: 2.1975 c. M: 3.4396 c. 94: 15 20 3 17 16 23 N SD: 2.0366 c. M: 2.7300 c. 99: 16 21 3 18 17 24 N SD: 0.7411 c. M:-1.4089 c. 174: 28 37 5 32 30 42 N SD: 0.9409 c. M: 1.2626 c. 203: 33 43 6 37 35 49 N SD: 0.8975 c. M:-1.2895 c. 243: 39 52 7 44 42 59 N SD: 0.8946 c. M: 1.5369 c. 248: 40 53 7 45 43 60 N SD: 0.5895 c. M: 1.0130 c. 285: 46 61 8 52 49 69 N SD: 0.6033 c. M:-0.9879 c. 347: 56 74 10 63 60 84 N SD: 0.4576 c. M:-0.7103 c. 384: 62 82 11 70 66 93 N SD: 0.5085 c. M:-0.9354 c. 422: 68 90 12 77 73 102 N SD: 0.4870 c. M:-0.8427 c. 425: 69 90 12 78 73 103 N SD: 0.4847 c. M:-0.6941 c. 432: 70 92 12 79 74 105 N SD: 0.3978 c. M: 0.7766 c. 459: 74 98 13 84 79 111 N SD: 0.4837 c. M:-0.6940 c. 470: 76 100 13 86 81 114 N SD: 0.4287 c. M: 0.8864 c. 494: 80 105 14 90 85 120 N SD: 0.3640 c. M: 0.6079 c. 499: 81 106 14 91 86 121 N SD: 0.3299 c. M:-0.6601 c. 507: 82 108 14 93 87 123 N SD: 0.3040 c. M: 0.5993 c. 569: 92 121 16 104 98 138 N SD: 0.2871 c. M: 0.4870 c. 574: 93 122 16 105 99 139 N SD: 0.2821 c. M: 0.5127 c. 598: 97 127 17 109 103 145 N SD: 0.2545 c. M:-0.5194 c. 606: 98 129 17 111 104 147 N SD: 0.1991 c. M:-0.3444 c. 668: 108 142 19 122 115 162 N SD: 0.2297 c. M: 0.4367 c. 673: 109 143 19 123 116 163 N SD: 0.1911 c. M:-0.2512 c. 705: 114 150 20 129 121 171 N SD: 0.1802 c. M:-0.3529 c. 772: 125 164 22 141 133 187 N SD: 0.1720 c. M: 0.3157 c. 854: 138 182 24 156 147 207 N SD: 0.1060 c. M: 0.2184 c. 953: 154 203 27 174 164 231 N SD: 0.0952 c. M: 0.2155 c. 1052: 170 224 30 192 181 255 N SD: 0.1311 c. M: 0.2131 c. 1204: 195 256 34 220 207 292 N SD: 0.1111 c. M:-0.2227 c. 1303: 211 277 37 238 224 316 N SD: 0.1110 c. M:-0.1913 c. 1353: 219 288 38 247 233 328 N SD: 0.1063 c. M: 0.1868 c. 1402: 227 298 40 256 241 340 N SD: 0.1329 c. M: 0.1804 c. 1423: 230 303 40 260 245 345 N SD: 0.1409 c. M: 0.2351 c. 1428: 231 304 40 261 246 346 N SD: 0.1234 c. M: 0.2463 c. 1447: 234 308 41 264 249 351 N SD: 0.1233 c. M: 0.2071 c. 1452: 235 309 41 265 250 352 N SD: 0.0735 c. M: 0.1465 c. 1527: 247 325 43 279 263 370 N SD: 0.0829 c. M: 0.1390 c. 1551: 251 330 44 283 267 376 N SD: 0.0732 c. M:-0.1194 c. 1626: 263 346 46 297 280 394 N SD: 0.0667 c. M:-0.1152 c. 2058: 333 438 58 376 354 499 N SD: 0.0422 c. M: 0.0720 c. 2157: 349 459 61 394 371 523 N SD: 0.0334 c. M: 0.0696 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 0.3354 cents 3 x x 4 x 5:6 S SD: 9.5797 cents 4 x 5 x 6:7:8 S SD: 21.7426 cents 5:6 x 7 x 8:10 S SD: 45.8845 cents 6:7 x 8:9:10:12 S SD: 15.6432 cents 7:8:9 x 11:12:14 SD: 18.4789 cents 8:9:10:11:12:14:16 S SD: 18.4594 cents 9:10 x 12:14:15:18 S SD: 13.9190 cents 10:11:13 x 15:17:20 SD: 6.2014 cents 12:13 x 16:18:20:24 SD: 12.5107 cents 13:15:17 x 20:22:26 SD: 14.0876 cents 14:16:18:19:21:24:28 SD: 10.8089 cents 16:18 x 21:24:27:32 SD: 3.2673 cents 17:19:22 x 26:29:34 SD: 7.3175 cents 18:20:23:24:27:30:36 SD: 6.6617 cents 19:21 x 25:29:32:38 SD: 7.5233 cents 20:22:26 x 30:34:40 SD: 6.2014 cents 22:25 x 29:33:37:44 SD: 5.8260 cents 23:26:30 x 35:39:46 SD: 6.4849 cents 24:27:31:32:36:41:48 SD: 4.3303 cents 26:29:34 x 39:44:52 SD: 3.1671 cents 29:32 x 38:44:49:58 SD: 6.8376 cents 30:34:39:40:45:51:60 SD: 4.8170 cents 31:35:40:41:47:52:62 SD: 4.7948 cents 32:36:41:42:48:54:64 SD: 4.3657 cents 33:37:43:44:50:56:66 SD: 4.1700 cents 34:38:44:45:51:57:68 SD: 2.5245 cents 40:45:52:53:60:68:80 SD: 2.4883 cents 44:49:57:58:66:74:88 SD: 2.1890 cents 50:56:65:66:75:85:100 SD: 1.8653 cents 58:65:75:77:87:98:116 SD: 1.5156 cents 68:76:88:90:102:115:136 SD: 0.6796 cents 84:94:109:111:126:142:168 SD: 0.3312 cents 152:170:197:201:228:257:304 SD: 0.1707 cents 236:264:306:312:354:399:472 SD: 0.1169 cents