Scala analysis: CD08_07_Egypt
Suite - Mustafa Fahreddin Dede (isfahan, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 249.064 cents 249.064085 2: 476.035 cents 476.035081 3: 639.084 cents 639.083694 4: 775.200 cents 775.199994 5: 979.580 cents 979.580214 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 220.4198 cents 220.4198 1: 249.0641 cents 249.0641 2: 226.9710 cents 226.9710 3: 163.0486 cents 163.0486 4: 136.1163 cents 136.1163 5: 204.3802 cents 204.3802 6: 220.4198 cents 220.4198
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 136.11630 cents 1: 1 163.04861 cents 1: 1 204.38022 cents 1: 1 220.41979 cents 1: 1 226.97100 cents 1: 1 249.06408 cents 2: 1 299.16491 cents 2: 1 340.49652 cents 2: 1 390.01961 cents 2: 1 424.80001 cents 2: 1 469.48387 cents 2: 1 476.03508 cents 3: 1 503.54513 cents 3: 1 526.13591 cents 3: 1 560.91631 cents 3: 1 639.08369 cents 3: 1 673.86409 cents 3: 1 696.45487 cents 4: 1 723.96492 cents 4: 1 730.51613 cents 4: 1 775.19999 cents 4: 1 809.98039 cents 4: 1 859.50348 cents 4: 1 900.83509 cents 5: 1 950.93592 cents 5: 1 973.02900 cents 5: 1 979.58021 cents 5: 1 995.61978 cents 5: 1 1036.95139 cents 5: 1 1063.88370 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 : 249.1 476.0 639.1 775.2 979.6 1200.0 249.1 : 227.0 390.0 526.1 730.5 950.9 1200.0 476.0 : 163.0 299.2 503.5 724.0 973.0 1200.0 639.1 : 136.1 340.5 560.9 810.0 1037.0 1200.0 775.2 : 204.4 424.8 673.9 900.8 1063.9 1200.0 979.6 : 220.4 469.5 696.5 859.5 995.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 136.1163 .. 249.0641 cents 112.94778 cents 136.11630 cents 2: 299.1649 .. 476.0351 cents 176.87017 cents 50.10083 cents 3: 503.5451 .. 696.4549 cents 192.90973 cents 27.51005 cents 4: 723.9649 .. 900.8351 cents 176.87017 cents 27.51005 cents 5: 950.9359 .. 1063.8837 cents 112.94778 cents 50.10083 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 136.11630 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 249.06408 cents Average / Smallest step : 1.469332 Largest / Average step : 1.245320 Largest / Smallest step : 1.829789 Median interval of one step : 212.40000 cents, amount: 0 Least squares average step : 201.28666 cents, oct.: 1207.71998 cents Scale is strictly proper Step pattern alph. order: ABCDEF Step pattern size order : FEBACD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 27.51005 cents Scale diversity : 1.653625 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.356212 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 : 6.55121 cents Number of recognisable fifths : 1, average 696.4549 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 42.3245 c. M: 76.0351 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 9: 2 2 1 1 1 2 N SD: 34.4180 c. M:-57.2983 c. 10: 2 2 1 1 2 2 P D3 I SD: 29.0283 c. M: 55.2000 c. 11: 2 2 2 1 2 2 SP M ME SD: 22.0050 c. M: 39.6714 c. 13: 3 2 2 1 3 2 P SD: 24.7249 c. M: 36.7385 c. 15: 3 3 2 2 2 3 P SD: 13.5225 c. M:-24.8000 c. 17: 4 3 2 2 3 3 P SD: 15.9479 c. M:-33.2889 c. 20: 4 4 3 2 3 4 P SD: 12.5286 c. M:-20.9163 c. 23: 5 4 3 3 4 4 SP SD: 9.5087 c. M: 12.9967 c. 25: 5 5 3 3 4 5 P SD: 11.2592 c. M: 19.5802 c. 28: 6 5 4 3 5 5 SP SD: 5.0427 c. M:-8.0788 c. 43: 9 8 6 5 7 8 SP SD: 3.1925 c. M:-6.1954 c. 53: 11 10 7 6 9 10 SP SD: 3.9057 c. M: 5.9953 c. 71: 15 13 10 8 12 13 SP SD: 2.6879 c. M:-4.4570 c. 81: 17 15 11 9 14 15 SP SD: 2.6577 c. M: 4.8296 c. 88: 18 17 12 10 15 16 SP SD: 2.1291 c. M: 3.6095 c. 96: 20 18 13 11 16 18 SP SD: 2.0605 c. M: 4.5802 c. 105: 22 20 14 12 18 19 SP SD: 2.4720 c. M:-3.9649 c. 111: 23 21 15 13 19 20 SP SD: 2.2221 c. M:-4.2036 c. 116: 24 22 16 13 20 21 SP SD: 1.6564 c. M:-3.1784 c. 124: 26 23 17 14 21 23 SP SD: 1.6181 c. M:-2.5488 c. 141: 29 27 19 16 24 26 SP SD: 1.1022 c. M: 2.2556 c. 169: 35 32 23 19 29 31 SP SD: 0.5775 c. M: 1.2355 c. 212: 44 40 29 24 36 39 SP SD: 0.3638 c. M: 0.5634 c. 381: 79 72 52 43 65 70 SP SD: 0.2887 c. M: 0.4445 c. 539: 112 102 73 61 92 99 SP SD: 0.2727 c. M: 0.4319 c. 582: 121 110 79 66 99 107 SP SD: 0.2207 c. M:-0.4205 c. 670: 139 127 91 76 114 123 SP SD: 0.2513 c. M:-0.3828 c. 698: 145 132 95 79 119 128 SP SD: 0.2731 c. M:-0.4579 c. 723: 150 137 98 82 123 133 SP SD: 0.1963 c. M: 0.3271 c. 751: 156 142 102 85 128 138 SP SD: 0.1439 c. M: 0.2333 c. 935: 194 177 127 106 159 172 SP SD: 0.1481 c. M: 0.3289 c. 963: 200 182 131 109 164 177 SP SD: 0.1214 c. M:-0.1686 c. 1104: 229 209 150 125 188 203 SP SD: 0.1424 c. M: 0.2324 c. 1127: 234 213 153 128 192 207 SP SD: 0.1045 c. M: 0.2195 c. 1311: 272 248 178 149 223 241 SP SD: 0.1183 c. M: 0.1821 c. 1339: 278 253 182 152 228 246 SP SD: 0.0842 c. M: 0.1576 c. 1427: 296 270 194 162 243 262 SP SD: 0.0959 c. M: 0.1503 c. 1480: 307 280 201 168 252 272 SP SD: 0.1118 c. M: 0.1648 c. 1508: 313 285 205 171 257 277 SP SD: 0.0969 c. M: 0.1730 c. 1692: 351 320 230 192 288 311 SP SD: 0.1054 c. M: 0.1486 c. 1709: 355 323 232 194 291 314 SP SD: 0.0996 c. M:-0.2045 c. 1720: 357 325 234 195 293 316 SP SD: 0.0985 c. M: 0.2211 c. 1754: 364 332 238 199 299 322 SP SD: 0.0867 c. M:-0.1337 c. 1797: 373 340 244 204 306 330 SP SD: 0.0582 c. M:-0.0922 c. 1966: 408 372 267 223 335 361 SP SD: 0.0422 c. M:-0.0739 c. 2009: 417 380 273 228 342 369 SP SD: 0.0497 c. M:-0.1111 c. 2178: 452 412 296 247 371 400 SP SD: 0.0232 c. M:-0.0348 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 31.4357 cents 3 x 4 x x 5:6 S SD: 32.5774 cents 4 x 5:6 x 7:8 S SD: 27.5209 cents 5:6 x 7:8:9:10 S SD: 20.5517 cents 6:7:8:9 x 11:12 SD: 19.6203 cents 7:8:9:10:11:12:14 S SD: 11.3948 cents 12:14:16:17:19:21:24 SD: 8.5531 cents 13:15:17:19:20:23:26 SD: 6.2111 cents 18:21:24:26:28:32:36 S SD: 5.7396 cents 20:23:26:29:31:35:40 SD: 5.0861 cents 25:29:33:36:39:44:50 SD: 2.1963 cents 51:59:67:74:80:90:102 SD: 1.5247 cents 72:83:95:104:113:127:144 SD: 1.3371 cents 76:88:100:110:119:134:152 SD: 0.9195 cents 85:98:112:123:133:150:170 SD: 0.8148 cents 92:106:121:133:144:162:184 SD: 0.7213 cents 110:127:145:159:172:194:220 SD: 0.6567 cents 117:135:154:169:183:206:234 SD: 0.4894 cents 168:194:221:243:263:296:336 SD: 0.3016 cents 193:223:254:279:302:340:386 SD: 0.2976 cents 246:284:324:356:385:433:492 SD: 0.2318 cents 322:372:424:466:504:567:644 SD: 0.2182 cents 363:419:478:525:568:639:726 SD: 0.1702 cents 414:478:545:599:648:729:828 SD: 0.1085 cents 439:507:578:635:687:773:878 SD: 0.0572 cents