Scala analysis: CD01_01_hijaz_Egypt
Les nuits d'amour / Ô mon Commensal - Darwîsh Muhammad al-Harîrî (hijaz, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 134.662 cents 134.661786 2: 390.583 cents 390.582837 3: 502.628 cents 502.627574 4: 717.673 cents 717.672797 5: 851.945 cents 851.945267 6: 1009.857 cents 1009.856558 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 190.1434 cents 190.1434 1: 134.6618 cents 134.6618 2: 255.9211 cents 255.9211 3: 112.0447 cents 112.0447 4: 215.0452 cents 215.0452 5: 134.2725 cents 134.2725 6: 157.9113 cents 157.9113 7: 190.1434 cents 190.1434
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 112.04474 cents 1: 1 134.27247 cents 1: 1 134.66179 cents 1: 1 157.91129 cents 1: 1 190.14344 cents 1: 1 215.04522 cents 1: 1 255.92105 cents 2: 1 292.18376 cents 2: 1 324.80523 cents 2: 1 327.08996 cents 2: 1 348.05473 cents 2: 1 349.31769 cents 2: 1 367.96579 cents 2: 1 390.58284 cents 3: 1 461.36243 cents 3: 1 482.32720 cents 3: 1 482.71652 cents 3: 1 502.62757 cents 3: 1 507.22898 cents 3: 1 580.72628 cents 3: 1 583.01101 cents 4: 1 616.98899 cents 4: 1 619.27372 cents 4: 1 692.77102 cents 4: 1 697.37243 cents 4: 1 717.28348 cents 4: 1 717.67280 cents 4: 1 738.63757 cents 5: 1 809.41716 cents 5: 1 832.03421 cents 5: 1 850.68231 cents 5: 1 851.94527 cents 5: 1 872.91004 cents 5: 1 875.19477 cents 5: 1 907.81624 cents 6: 1 944.07895 cents 6: 1 984.95478 cents 6: 1 1009.85656 cents 6: 1 1042.08871 cents 6: 1 1065.33821 cents 6: 1 1065.72753 cents 6: 1 1087.95526 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 : 134.7 390.6 502.6 717.7 851.9 1009.9 1200.0 134.7 : 255.9 368.0 583.0 717.3 875.2 1065.3 1200.0 390.6 : 112.0 327.1 461.4 619.3 809.4 944.1 1200.0 502.6 : 215.0 349.3 507.2 697.4 832.0 1088.0 1200.0 717.7 : 134.3 292.2 482.3 617.0 872.9 985.0 1200.0 851.9 : 157.9 348.1 482.7 738.6 850.7 1065.7 1200.0 1009.9: 190.1 324.8 580.7 692.8 907.8 1042.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 112.0447 .. 255.9211 cents 143.87631 cents 112.04474 cents 2: 292.1838 .. 390.5828 cents 98.39908 cents 36.26271 cents 3: 461.3624 .. 583.0110 cents 121.64858 cents 70.77959 cents 4: 616.9890 .. 738.6376 cents 121.64858 cents 33.97798 cents 5: 809.4172 .. 907.8162 cents 98.39908 cents 70.77959 cents 6: 944.0789 .. 1087.9553 cents 143.87631 cents 36.26271 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 112.04474 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 255.92105 cents Average / Smallest step : 1.530001 Largest / Average step : 1.492873 Largest / Smallest step : 2.284097 Median interval of one step : 157.91129 cents, amount: 1 Least squares average step : 171.52334 cents, oct.: 1200.66335 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CGAFBDE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 33.97798 cents Scale diversity : 1.592779 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.393460 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 : 0.38932 cents Number of recognisable fifths : 4, average 706.2749 cents Number of appreciable fifths : 2, average 695.0717 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 121.2593 cents: 3 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 27.1610 c. M: 47.7257 c. Lebeng 10: 1 2 1 2 1 1 2 P M ME S SD: 24.7734 c. M: 49.8566 c. 13: 1 3 1 3 1 2 2 N D3 S SD: 26.3201 c. M: 42.3541 c. 15: 2 3 1 3 2 2 2 SP D3 S SD: 20.5072 c. M:-30.1434 c. 17: 2 3 2 3 2 2 3 SP M ME S SD: 17.5748 c. M: 37.6417 c. 18: 2 4 2 3 2 2 3 P T3 S SD: 15.0827 c. M:-30.7058 c. 19: 2 4 2 3 2 3 3 SP D3 SD: 15.5511 c. M: 30.8926 c. 21: 2 5 2 4 2 3 3 N SD: 15.3590 c. M:-25.1843 c. 24: 3 5 2 4 3 3 4 P SD: 10.3103 c. M: 17.6728 c. 27: 3 6 2 5 3 4 4 SP SD: 8.7131 c. M: 13.7387 c. 28: 3 6 3 5 3 4 4 P SD: 9.9481 c. M:-18.7149 c. 33: 4 7 3 6 4 4 5 SP SD: 10.9564 c. M:-20.7820 c. 34: 4 7 3 6 4 5 5 SP SD: 8.1959 c. M:-13.6729 c. 37: 4 8 3 7 4 5 6 SP SD: 7.5559 c. M: 16.1411 c. 38: 4 8 4 7 4 5 6 P SD: 6.4099 c. M: 11.6355 c. 39: 4 9 3 7 5 5 6 SP SD: 8.8769 c. M: 11.5849 c. 40: 5 8 4 7 4 6 6 SP SD: 8.7908 c. M:-15.3382 c. 42: 5 9 4 7 5 5 7 P SD: 7.8139 c. M:-11.6581 c. 43: 5 9 4 8 5 5 7 SP SD: 6.4028 c. M:-13.1710 c. 44: 5 9 4 8 5 6 7 SP SD: 6.9014 c. M: 11.7185 c. 45: 5 10 4 8 5 6 7 SP SD: 4.2459 c. M:-9.4172 c. 52: 6 11 5 9 6 7 8 SP SD: 3.4325 c. M:-5.5281 c. 55: 6 12 5 10 6 7 9 SP SD: 3.0359 c. M: 6.2202 c. 62: 7 13 6 11 7 8 10 SP SD: 1.9739 c. M: 3.4861 c. 107: 12 23 10 19 12 14 17 SP SD: 1.0939 c. M:-2.0453 c. 169: 19 36 16 30 19 22 27 SP SD: 0.8544 c. M: 1.5725 c. 196: 22 42 18 35 22 26 31 SP SD: 0.8199 c. M: 1.3463 c. 234: 26 50 22 42 26 31 37 SP SD: 0.6707 c. M: 1.3285 c. 258: 29 55 24 46 29 34 41 SP SD: 0.6563 c. M: 1.3937 c. 286: 32 61 27 51 32 38 45 SP SD: 0.6438 c. M:-1.3323 c. 296: 33 63 28 53 33 39 47 SP SD: 0.6804 c. M: 1.3936 c. 301: 34 64 28 54 34 39 48 SP SD: 0.7412 c. M: 1.2187 c. 303: 34 65 28 54 34 40 48 SP SD: 0.6843 c. M:-1.4964 c. 311: 35 66 29 56 35 41 49 SP SD: 0.7298 c. M:-1.0759 c. 341: 38 73 32 61 38 45 54 SP SD: 0.4485 c. M: 0.9374 c. 348: 39 74 33 62 39 46 55 SP SD: 0.5398 c. M: 0.9277 c. 365: 41 78 34 65 41 48 58 SP SD: 0.5341 c. M: 0.9605 c. 366: 41 78 34 66 41 48 58 SP SD: 0.4783 c. M: 0.9882 c. 403: 45 86 38 72 45 53 64 SP SD: 0.4403 c. M: 0.6667 c. 411: 46 88 38 74 46 54 65 SP SD: 0.4758 c. M:-0.6580 c. 418: 47 89 39 75 47 55 66 SP SD: 0.3910 c. M:-0.6863 c. 473: 53 101 44 85 53 62 75 SP SD: 0.2637 c. M:-0.4860 c. 580: 65 124 54 104 65 76 92 SP SD: 0.2878 c. M:-0.4685 c. 587: 66 125 55 105 66 77 93 SP SD: 0.2529 c. M:-0.5249 c. 649: 73 138 61 116 73 85 103 SP SD: 0.3258 c. M: 0.4442 c. 652: 73 139 61 117 73 86 103 SP SD: 0.3084 c. M:-0.5729 c. 669: 75 143 62 120 75 88 106 SP SD: 0.2410 c. M:-0.4486 c. 731: 82 156 68 131 82 96 116 SP SD: 0.1989 c. M: 0.3020 c. 821: 92 175 77 147 92 108 130 SP SD: 0.1797 c. M: 0.3271 c. 965: 108 206 90 173 108 127 153 SP SD: 0.1927 c. M: 0.3613 c. 1017: 114 217 95 182 114 134 161 SP SD: 0.1343 c. M: 0.2687 c. 1124: 126 240 105 201 126 148 178 SP SD: 0.1523 c. M: 0.2351 c. 1256: 141 268 117 225 141 165 199 SP SD: 0.1452 c. M:-0.2840 c. 1299: 146 277 121 233 145 171 206 SP SD: 0.1542 c. M: 0.2132 c. 1318: 148 281 123 236 148 173 209 SP SD: 0.1442 c. M:-0.2550 c. 1383: 155 295 129 248 155 182 219 SP SD: 0.1427 c. M: 0.2415 c. 1389: 156 296 130 249 155 183 220 SP SD: 0.1388 c. M:-0.2538 c. 1478: 166 315 138 265 165 195 234 SP SD: 0.1261 c. M: 0.2538 c. 1490: 167 318 139 267 167 196 236 SP SD: 0.0969 c. M: 0.1651 c. 1552: 174 331 145 278 174 204 246 SP SD: 0.1011 c. M: 0.1470 c. 1659: 186 354 155 297 186 218 263 SP SD: 0.0974 c. M:-0.1343 c. 1951: 219 416 182 350 218 257 309 SP SD: 0.0765 c. M: 0.1160 c. 2013: 226 429 188 361 225 265 319 SP SD: 0.0741 c. M: 0.1208 c. 2058: 231 439 192 369 230 271 326 SP SD: 0.0619 c. M:-0.1115 c. 2120: 238 452 198 380 237 279 336 SP SD: 0.0430 c. M:-0.0631 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: 7.8589 cents 3 x x 4 x 5 x 6 S SD: 10.9119 cents 4 x 5 x 6 x 7:8 S SD: 11.0363 cents 5 x 6:7 x 8:9:10 S SD: 23.2563 cents 6 x x 8:9:10:11:12 S SD: 10.7321 cents 7:8:9 x 11 x 13:14 SD: 27.8003 cents 8:9:10:11:12:13:14:16 S SD: 13.7360 cents 9:10:11:12:14:15:16:18 S SD: 12.4838 cents 10:11 x 13:15:16:18:20 SD: 11.8266 cents 11:12:14:15:17:18:20:22 SD: 9.1296 cents 12:13:15:16:18:20:22:24 SD: 7.7103 cents 15:16:19:20:23:25:27:30 SD: 7.1491 cents 20:22:25:27:30:33:36:40 SD: 5.9892 cents 21:23:26:28:32:34:38:42 SD: 5.9080 cents 23:25:29:31:35:38:41:46 SD: 4.2243 cents 24:26:30:32:36:39:43:48 SD: 2.9693 cents 35:38:44:47:53:57:63:70 SD: 2.3434 cents 39:42:49:52:59:64:70:78 SD: 1.5804 cents 47:51:59:63:71:77:84:94 SD: 1.5420 cents 62:67:78:83:94:101:111:124 SD: 1.5261 cents 63:68:79:84:95:103:113:126 SD: 1.2386 cents 72:78:90:96:109:118:129:144 SD: 1.1576 cents 74:80:93:99:112:121:133:148 SD: 1.0515 cents 86:93:108:115:130:141:154:172 SD: 0.8812 cents 107:116:134:143:162:175:192:214 SD: 0.8283 cents 115:124:144:154:174:188:206:230 SD: 0.7815 cents 134:145:168:179:203:219:240:268 SD: 0.4829 cents 173:187:217:231:262:283:310:346 SD: 0.4067 cents 187:202:234:250:283:306:335:374 SD: 0.3996 cents 222:240:278:297:336:363:398:444 SD: 0.2891 cents 249:269:312:333:377:407:446:498 SD: 0.2737 cents 261:282:327:349:395:427:468:522 SD: 0.2059 cents 321:347:402:429:486:525:575:642 SD: 0.2050 cents 360:389:451:481:545:589:645:720 SD: 0.1870 cents 395:427:495:528:598:646:708:790 SD: 0.0963 cents