Scala analysis: CD04_16_Egypt
Suite - Dâwûd Khudr Husnî (sikah, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 91.504 cents 91.503943 2: 313.660 cents 313.659591 3: 453.217 cents 453.217495 4: 603.525 cents 603.524758 5: 806.435 cents 806.434915 6: 941.585 cents 941.584676 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 258.4153 cents 258.4153 1: 91.5039 cents 91.5039 2: 222.1556 cents 222.1556 3: 139.5579 cents 139.5579 4: 150.3073 cents 150.3073 5: 202.9102 cents 202.9102 6: 135.1498 cents 135.1498 7: 258.4153 cents 258.4153
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 91.50394 cents 1: 1 135.14976 cents 1: 1 139.55790 cents 1: 1 150.30726 cents 1: 1 202.91016 cents 1: 1 222.15565 cents 1: 1 258.41532 cents 2: 1 289.86517 cents 2: 1 313.65959 cents 2: 1 338.05992 cents 2: 1 349.91927 cents 2: 1 353.21742 cents 2: 1 361.71355 cents 2: 1 393.56509 cents 3: 1 453.21750 cents 3: 1 485.06903 cents 3: 1 488.36718 cents 3: 1 492.77532 cents 3: 1 512.02082 cents 3: 1 572.07492 cents 3: 1 596.47524 cents 4: 1 603.52476 cents 4: 1 627.92508 cents 4: 1 687.97919 cents 4: 1 707.22468 cents 4: 1 711.63282 cents 4: 1 714.93097 cents 4: 1 746.78250 cents 5: 1 806.43491 cents 5: 1 838.28645 cents 5: 1 846.78258 cents 5: 1 850.08073 cents 5: 1 861.94008 cents 5: 1 886.34041 cents 5: 1 910.13483 cents 6: 1 941.58468 cents 6: 1 977.84435 cents 6: 1 997.08984 cents 6: 1 1049.69274 cents 6: 1 1060.44210 cents 6: 1 1064.85024 cents 6: 1 1108.49606 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 : 91.5 313.7 453.2 603.5 806.4 941.6 1200.0 91.5 : 222.2 361.7 512.0 714.9 850.1 1108.5 1200.0 313.7 : 139.6 289.9 492.8 627.9 886.3 977.8 1200.0 453.2 : 150.3 353.2 488.4 746.8 838.3 1060.4 1200.0 603.5 : 202.9 338.1 596.5 688.0 910.1 1049.7 1200.0 806.4 : 135.1 393.6 485.1 707.2 846.8 997.1 1200.0 941.6 : 258.4 349.9 572.1 711.6 861.9 1064.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 91.5039 .. 258.4153 cents 166.91138 cents 91.50394 cents 2: 289.8652 .. 393.5651 cents 103.69992 cents 31.44984 cents 3: 453.2175 .. 596.4752 cents 143.25775 cents 59.65241 cents 4: 603.5248 .. 746.7825 cents 143.25775 cents 7.04952 cents 5: 806.4349 .. 910.1348 cents 103.69992 cents 59.65241 cents 6: 941.5847 .. 1108.4961 cents 166.91138 cents 31.44984 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 91.50394 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 258.41532 cents Average / Smallest step : 1.873456 Largest / Average step : 1.507423 Largest / Smallest step : 2.824089 Median interval of one step : 150.30726 cents, amount: 1 Least squares average step : 161.24469 cents, oct.: 1128.71286 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : AFCDEBG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 7.04952 cents Scale diversity : 1.678765 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.310218 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 : 3.29815 cents Number of recognisable fifths : 4, average 705.4419 cents Number of appreciable fifths : 2, average 709.4287 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 100.3206 c. M: 142.2310 c. 8: 0 2 1 1 1 1 2 P D3 S SD: 43.9098 c. M: 91.5039 c. 10: 1 2 1 1 2 1 2 P M ME S SD: 27.1370 c. M:-46.3404 c. 12: 1 2 1 2 2 1 3 P D3 SD: 26.3872 c. M: 53.2175 c. Ultralocrian, Superlocrian Diminished, Mixolydian sharp 1 13: 1 2 2 2 2 1 3 P D3 S SD: 24.4113 c. M:-42.6291 c. 14: 1 3 1 2 2 2 3 P T3 SD: 19.7590 c. M: 35.0063 c. 15: 1 3 2 2 2 2 3 SP D3 S SD: 19.2755 c. M:-36.4752 c. 16: 1 3 2 2 3 2 3 P D3 SD: 16.6604 c. M:-33.4153 c. 18: 1 4 2 2 3 2 4 P SD: 13.6630 c. M: 24.8373 c. 22: 2 4 2 3 4 2 5 P SD: 12.7275 c. M:-17.5870 c. 24: 2 4 3 3 4 3 5 P SD: 7.5002 c. M: 13.6596 c. 34: 3 6 4 4 6 4 7 P SD: 7.7815 c. M:-14.3784 c. 37: 3 7 4 5 6 4 8 SP SD: 6.8589 c. M:-12.6915 c. 39: 3 7 5 5 6 5 8 SP SD: 7.9093 c. M:-12.2615 c. 40: 3 7 5 5 7 4 9 P SD: 7.1568 c. M: 13.6596 c. 42: 3 8 5 5 7 5 9 P SD: 3.8688 c. M: 6.4349 c. 61: 5 11 7 8 10 7 13 SP SD: 3.6995 c. M:-6.8567 c. 64: 5 12 7 8 11 7 14 P SD: 3.1725 c. M:-5.0904 c. 79: 6 15 9 10 13 9 17 SP SD: 2.7554 c. M:-5.3278 c. 80: 6 15 9 10 14 9 17 P SD: 2.7047 c. M:-3.5651 c. 88: 7 16 10 11 15 10 19 P SD: 2.4614 c. M:-3.9506 c. 92: 7 17 11 11 16 10 20 P SD: 2.2327 c. M: 3.5248 c. 103: 8 19 12 13 17 12 22 SP SD: 1.7429 c. M: 2.5514 c. 119: 9 22 14 15 20 13 26 SP SD: 1.6294 c. M: 3.7695 c. 143: 11 26 17 18 24 16 31 SP SD: 1.4556 c. M: 3.1701 c. 153: 12 28 18 19 26 17 33 SP SD: 1.3082 c. M:-2.6137 c. 161: 12 30 19 20 27 18 35 SP SD: 1.4602 c. M: 2.4542 c. 167: 13 31 19 21 28 19 36 SP SD: 1.3622 c. M:-2.5081 c. 173: 13 32 20 22 29 20 37 SP SD: 1.5126 c. M: 2.3504 c. 180: 14 33 21 23 30 20 39 SP SD: 1.5073 c. M:-3.1419 c. 183: 14 34 21 23 31 21 39 SP SD: 1.1407 c. M:-2.6776 c. 185: 14 34 22 23 31 21 40 SP SD: 1.3165 c. M: 2.3082 c. 195: 15 36 23 24 33 22 42 SP SD: 0.8991 c. M:-2.1671 c. 199: 15 37 23 25 34 22 43 SP SD: 0.8978 c. M:-1.6053 c. 223: 17 41 26 28 38 25 48 SP SD: 0.8540 c. M: 1.5520 c. 238: 18 44 28 30 40 27 51 SP SD: 0.9253 c. M:-1.5173 c. 241: 18 45 28 30 41 27 52 SP SD: 0.8372 c. M: 1.8774 c. 259: 20 48 30 32 44 29 56 SP SD: 0.9723 c. M:-1.3983 c. 260: 20 48 30 33 44 29 56 SP SD: 0.7820 c. M:-1.2574 c. 265: 20 49 31 33 45 30 57 SP SD: 0.7860 c. M: 1.2606 c. 275: 21 51 32 34 47 31 59 SP SD: 0.7634 c. M: 1.3429 c. 302: 23 56 35 38 51 34 65 SP SD: 0.2348 c. M:-0.4488 c. 696: 53 129 81 87 118 78 150 SP SD: 0.2229 c. M:-0.4616 c. 720: 55 133 84 90 122 81 155 SP SD: 0.1865 c. M: 0.3263 c. 799: 61 148 93 100 135 90 172 SP SD: 0.1910 c. M:-0.3495 c. 942: 72 174 110 118 159 106 203 SP SD: 0.2187 c. M:-0.2969 c. 948: 72 176 110 119 160 107 204 SP SD: 0.2160 c. M: 0.3647 c. 972: 74 180 113 122 164 110 209 SP SD: 0.2064 c. M:-0.3906 c. 998: 76 185 116 125 169 112 215 SP SD: 0.1738 c. M:-0.3787 c. 1022: 78 189 119 128 173 115 220 SP SD: 0.1126 c. M:-0.2187 c. 1064: 81 197 124 133 180 120 229 SP SD: 0.1247 c. M:-0.1660 c. 1324: 101 245 154 166 224 149 285 SP SD: 0.1028 c. M:-0.2116 c. 1366: 104 253 159 171 231 154 294 SP SD: 0.0834 c. M:-0.1430 c. 1668: 127 309 194 209 282 188 359 SP SD: 0.0813 c. M:-0.1419 c. 1875: 143 347 218 235 317 211 404 SP SD: 0.0712 c. M: 0.1447 c. 1951: 149 361 227 244 330 220 420 SP SD: 0.0944 c. M: 0.1419 c. 1970: 150 365 229 247 333 222 424 SP SD: 0.0934 c. M:-0.1412 c. 1978: 151 366 230 248 334 223 426 SP SD: 0.0874 c. M: 0.1660 c. 2058: 157 381 239 258 348 232 443 SP SD: 0.0760 c. M: 0.1563 c. 2070: 158 383 241 259 350 233 446 SP SD: 0.0817 c. M: 0.1354 c. 2150: 164 398 250 269 364 242 463 SP SD: 0.0738 c. M: 0.1759 c. 2177: 166 403 253 273 368 245 469 SP SD: 0.0638 c. M: 0.1169 c. 2219: 169 411 258 278 375 250 478 SP SD: 0.0720 c. M: 0.1258 c. 2253: 172 417 262 282 381 254 485 SP SD: 0.0666 c. M:-0.1072 c. 2372: 181 439 276 297 401 267 511 SP SD: 0.0538 c. M: 0.1007 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: 49.2151 cents 3 x x 4 x x 5:6 S SD: 24.2311 cents 4 x x 5:6 x 7:8 S SD: 30.5233 cents 5 x 6 x 7:8:9:10 S SD: 15.8440 cents 6 x 7:8:9 x 10:12 S SD: 26.2008 cents 7 x 8:9:10:11:12:14 S SD: 14.8814 cents 8 x x 10:11:13:14:16 SD: 19.0851 cents 9:10:11:12:13:14:16:18 S SD: 18.7361 cents 10:11:12:13:14:16:17:20 SD: 11.4533 cents 14:15:17:18:20:22:24:28 SD: 7.0769 cents 17:18:20:22:24:27:29:34 SD: 5.5452 cents 19:20:23:25:27:30:33:38 SD: 5.0494 cents 20:21:24:26:28:32:34:40 SD: 4.6837 cents 24:25:29:31:34:38:41:48 SD: 4.6507 cents 29:31:35:38:41:46:50:58 SD: 4.5411 cents 30:32:36:39:43:48:52:60 SD: 4.4484 cents 31:33:37:40:44:49:53:62 SD: 4.1580 cents 33:35:40:43:47:53:57:66 SD: 4.0298 cents 34:36:41:44:48:54:59:68 SD: 3.0113 cents 36:38:43:47:51:57:62:72 SD: 2.1667 cents 40:42:48:52:57:64:69:80 SD: 2.0463 cents 50:53:60:65:71:80:86:100 SD: 1.8360 cents 57:60:68:74:81:91:98:114 SD: 1.5822 cents 71:75:85:92:101:113:122:142 SD: 1.4590 cents 74:78:89:96:105:118:127:148 SD: 1.3605 cents 76:80:91:99:108:121:131:152 SD: 1.0775 cents 91:96:109:118:129:145:157:182 SD: 0.6599 cents 127:134:152:165:180:202:219:254 SD: 0.6487 cents 130:137:156:169:184:207:224:260 SD: 0.4770 cents 187:197:224:243:265:298:322:374 SD: 0.2747 cents 278:293:333:361:394:443:479:556 SD: 0.2315 cents 317:334:380:412:449:505:546:634 SD: 0.2196 cents 367:387:440:477:520:585:632:734 SD: 0.1862 cents 408:430:489:530:578:650:703:816 SD: 0.1354 cents 458:483:549:595:649:730:789:916 SD: 0.1186 cents 588:620:705:764:833:937:1013:1176 SD: 0.1170 cents