Scala analysis: CD04_20_saba_Egypt
Suite - Dâwûd Khudr Husnî (saba, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 167.390 cents 167.389740 2: 303.802 cents 303.802385 3: 410.789 cents 410.789487 4: 709.281 cents 709.280785 5: 789.557 cents 789.557404 6: 1003.456 cents 1003.456002 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 196.5440 cents 196.5440 1: 167.3897 cents 167.3897 2: 136.4126 cents 136.4126 3: 106.9871 cents 106.9871 4: 298.4913 cents 298.4913 5: 80.2766 cents 80.2766 6: 213.8986 cents 213.8986 7: 196.5440 cents 196.5440
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 80.27662 cents 1: 1 106.98710 cents 1: 1 136.41265 cents 1: 1 167.38974 cents 1: 1 196.54400 cents 1: 1 213.89860 cents 1: 1 298.49130 cents 2: 1 243.39975 cents 2: 1 294.17522 cents 2: 1 303.80239 cents 2: 1 363.93374 cents 2: 1 378.76792 cents 2: 1 405.47840 cents 2: 1 410.44260 cents 3: 1 410.78949 cents 3: 1 485.75502 cents 3: 1 490.71921 cents 3: 1 500.34638 cents 3: 1 541.89104 cents 3: 1 577.83234 cents 3: 1 592.66651 cents 4: 1 607.33349 cents 4: 1 622.16766 cents 4: 1 658.10895 cents 4: 1 699.65362 cents 4: 1 709.28079 cents 4: 1 714.24498 cents 4: 1 789.21051 cents 5: 1 789.55740 cents 5: 1 794.52160 cents 5: 1 821.23208 cents 5: 1 836.06626 cents 5: 1 896.19761 cents 5: 1 905.82478 cents 5: 1 956.60025 cents 6: 1 901.50870 cents 6: 1 986.10140 cents 6: 1 1003.45600 cents 6: 1 1032.61026 cents 6: 1 1063.58735 cents 6: 1 1093.01290 cents 6: 1 1119.72338 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 167.4 303.8 410.8 709.3 789.6 1003.5 1200.0 167.4 : 136.4 243.4 541.9 622.2 836.1 1032.6 1200.0 303.8 : 107.0 405.5 485.8 699.7 896.2 1063.6 1200.0 410.8 : 298.5 378.8 592.7 789.2 956.6 1093.0 1200.0 709.3 : 80.3 294.2 490.7 658.1 794.5 901.5 1200.0 789.6 : 213.9 410.4 577.8 714.2 821.2 1119.7 1200.0 1003.5: 196.5 363.9 500.3 607.3 905.8 986.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 80.2766 .. 298.4913 cents 218.21468 cents 80.27662 cents 2: 243.3997 .. 410.4426 cents 167.04285 cents -55.09155 cents 3: 410.7895 .. 592.6665 cents 181.87703 cents 0.34689 cents 4: 607.3335 .. 789.2105 cents 181.87703 cents 14.66697 cents 5: 789.5574 .. 956.6003 cents 167.04285 cents 0.34689 cents 6: 901.5087 .. 1119.7234 cents 218.21468 cents -55.09155 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 80.27662 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 298.49130 cents Average / Smallest step : 2.135473 Largest / Average step : 1.741199 Largest / Smallest step : 3.718284 Median interval of one step : 167.38974 cents, amount: 1 Least squares average step : 165.80721 cents, oct.: 1160.65046 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : DCBGAFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.34689 cents Scale diversity : 1.681922 Lumma stability : 0.146595 Lumma impropriety factor : 0.091819 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 0.34689 cents Number of recognisable fifths : 3, average 707.7265 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 0 2 1 1 1 N T3 SD: 41.2490 c. M: 67.9323 c. 8: 1 1 1 2 0 2 1 P D3 S SD: 32.1681 c. M:-46.5440 c. 9: 1 1 1 2 1 1 2 P M ME S SD: 36.8346 c. M: 70.1227 c. 12: 2 1 1 3 1 2 2 N T3 SD: 14.1493 c. M:-32.6103 c. Sabach (Sambah) ascending: Greece 17: 2 2 2 4 1 3 3 P SD: 15.6935 c. M: 26.2133 c. 20: 3 2 2 5 1 4 3 N SD: 10.2696 c. M:-16.5440 c. 24: 3 3 2 6 2 4 4 N SD: 9.5648 c. M: 17.3897 c. Maqam Saba 29: 4 3 3 7 2 5 5 N SD: 7.2219 c. M: 14.1472 c. 35: 5 4 3 9 2 6 6 N SD: 5.8485 c. M:-10.7192 c. 44: 6 5 4 11 3 8 7 N SD: 3.0483 c. M:-5.6349 c. 56: 8 6 5 14 4 10 9 N SD: 3.2320 c. M:-4.0388 c. 73: 10 8 7 18 5 13 12 N SD: 3.3457 c. M: 7.9120 c. 79: 11 9 7 20 5 14 13 N SD: 1.8144 c. M:-4.6433 c. 102: 14 12 9 25 7 18 17 N SD: 2.3214 c. M: 3.4560 c. 108: 15 12 10 27 7 19 18 N SD: 2.0985 c. M: 3.8024 c. 122: 17 14 11 30 8 22 20 N SD: 1.4653 c. M: 2.6722 c. 135: 19 15 12 34 9 24 22 N SD: 1.4686 c. M: 1.9006 c. 146: 20 17 13 36 10 26 24 N SD: 1.5048 c. M: 3.0062 c. 158: 22 18 14 39 11 28 26 N SD: 1.2069 c. M: 2.9517 c. 166: 23 19 15 41 11 30 27 N SD: 1.0716 c. M: 1.6056 c. 178: 25 20 16 44 12 32 29 N SD: 0.8798 c. M: 1.4156 c. 213: 30 24 19 53 14 38 35 N SD: 0.7991 c. M:-1.6243 c. 225: 31 26 20 56 15 40 37 N SD: 0.8417 c. M: 2.0564 c. 237: 33 27 21 59 16 42 39 N SD: 0.4871 c. M: 0.9244 c. 257: 36 29 23 64 17 46 42 N SD: 0.4123 c. M:-0.7036 c. 359: 50 41 32 89 24 64 59 N SD: 0.4911 c. M: 0.6995 c. 403: 56 46 36 100 27 72 66 N SD: 0.3807 c. M: 0.6404 c. 415: 58 47 37 103 28 74 68 N SD: 0.3632 c. M: 0.8471 c. 482: 67 55 43 120 32 86 79 N SD: 0.2813 c. M: 0.5848 c. 494: 69 56 44 123 33 88 81 N SD: 0.1685 c. M: 0.2632 c. 897: 125 102 80 223 60 160 147 N SD: 0.1661 c. M: 0.2597 c. 976: 136 111 87 243 65 174 160 N SD: 0.1512 c. M: 0.2131 c. 1154: 161 131 103 287 77 206 189 N SD: 0.1363 c. M: 0.3026 c. 1362: 190 155 121 339 91 243 223 N SD: 0.1171 c. M: 0.2168 c. 1391: 194 158 124 346 93 248 228 N SD: 0.1339 c. M: 0.1972 c. 1470: 205 167 131 366 98 262 241 N SD: 0.1344 c. M: 0.1907 c. 1599: 223 182 142 398 107 285 262 N SD: 0.1299 c. M: 0.2829 c. 1619: 226 184 144 403 108 289 265 N SD: 0.1201 c. M: 0.1812 c. 1734: 242 197 155 431 116 309 284 N SD: 0.1165 c. M:-0.2832 c. 1758: 245 200 157 437 118 313 288 N SD: 0.1141 c. M:-0.2037 c. 1856: 259 211 165 462 124 331 304 N SD: 0.1049 c. M: 0.2291 c. 1885: 263 214 168 469 126 336 309 N SD: 0.1311 c. M: 0.1794 c. 1892: 264 215 169 470 127 337 310 N SD: 0.1151 c. M:-0.2042 c. 1900: 265 216 169 473 127 339 311 N SD: 0.1148 c. M: 0.2632 c. 1936: 270 220 173 481 130 345 317 N SD: 0.1107 c. M: 0.1899 c. 1942: 271 221 173 483 130 346 318 N SD: 0.1180 c. M:-0.2141 c. 1959: 273 223 175 487 131 349 321 N SD: 0.1164 c. M:-0.2365 c. 1971: 275 224 176 490 132 351 323 N SD: 0.0847 c. M:-0.1694 c. 2015: 281 229 180 501 135 359 330 N SD: 0.0753 c. M:-0.1286 c. 2272: 317 258 203 565 152 405 372 N SD: 0.0740 c. M:-0.1260 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 3.6629 cents 3 x x 4 x 5 x 6 S SD: 42.9480 cents 4 x x 5:6 x 7:8 S SD: 10.7586 cents 5 x 6 x x 8:9:10 S SD: 7.5924 cents 6 x 7:8:9 x 11:12 SD: 21.1079 cents 7:8 x 9 x 11:13:14 SD: 19.3557 cents 8:9 x 10:12:13:14:16 S SD: 12.6751 cents 9:10:11 x x 14:16:18 SD: 10.5609 cents 10:11:12:13:15:16:18:20 SD: 7.6497 cents 11:12:13:14 x 17:20:22 SD: 8.8565 cents 13:14 x 16:20:21:23:26 SD: 14.3345 cents 14:15:17:18:21:22:25:28 SD: 9.0778 cents 16:18:19:20:24:25:29:32 SD: 7.8180 cents 18:20:21:23:27:28:32:36 SD: 7.1268 cents 19:21:23:24:29:30:34:38 SD: 5.2256 cents 22:24:26:28:33:35:39:44 SD: 4.3961 cents 26:29:31:33:39:41:46:52 SD: 3.9769 cents 30:33:36:38:45:47:54:60 SD: 3.3613 cents 31:34:37:39:47:49:55:62 SD: 3.1707 cents 37:41:44:47:56:58:66:74 SD: 2.5973 cents 38:42:45:48:57:60:68:76 SD: 2.3424 cents 41:45:49:52:62:65:73:82 SD: 2.0046 cents 52:57:62:66:78:82:93:104 SD: 1.6871 cents 57:63:68:72:86:90:102:114 SD: 1.4476 cents 67:74:80:85:101:106:120:134 SD: 1.3301 cents 78:86:93:99:117:123:139:156 SD: 1.2125 cents 79:87:94:100:119:125:141:158 SD: 0.8949 cents 89:98:106:113:134:140:159:178 SD: 0.8842 cents 109:120:130:138:164:172:195:218 SD: 0.7086 cents 126:139:150:160:190:199:225:252 SD: 0.7074 cents 130:143:155:165:196:205:232:260 SD: 0.5330 cents 168:185:200:213:253:265:300:336 SD: 0.3099 cents 265:292:316:336:399:418:473:530 SD: 0.2188 cents 344:379:410:436:518:543:614:688 SD: 0.1724 cents 355:391:423:450:535:560:634:710 SD: 0.1656 cents 433:477:516:549:652:683:773:866 SD: 0.1311 cents 474:522:565:601:714:748:846:948 SD: 0.1086 cents