Scala analysis: CD17_11_Tunisia
Trois choses en ce bas monde me plaisent - L'ensemble de Muhammad Ghânim (rasd al-dhil, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 187.148 cents 187.147641 2: 292.474 cents 292.474438 3: 487.873 cents 487.872815 4: 649.774 cents 649.774131 5: 867.598 cents 867.598137 6: 996.065 cents 996.065015 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 203.9350 cents 203.9350 1: 187.1476 cents 187.1476 2: 105.3268 cents 105.3268 3: 195.3984 cents 195.3984 4: 161.9013 cents 161.9013 5: 217.8240 cents 217.8240 6: 128.4669 cents 128.4669 7: 203.9350 cents 203.9350
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 105.32680 cents 1: 1 128.46688 cents 1: 1 161.90132 cents 1: 1 187.14764 cents 1: 1 195.39838 cents 1: 1 203.93498 cents 1: 1 217.82401 cents 2: 1 292.47444 cents 2: 1 300.72517 cents 2: 1 332.40186 cents 2: 1 346.29088 cents 2: 1 357.29969 cents 2: 1 379.72532 cents 2: 1 391.08263 cents 3: 1 462.62649 cents 3: 1 487.87282 cents 3: 1 496.40942 cents 3: 1 508.19220 cents 3: 1 519.54950 cents 3: 1 550.22587 cents 3: 1 575.12370 cents 4: 1 624.87630 cents 4: 1 649.77413 cents 4: 1 680.45050 cents 4: 1 691.80780 cents 4: 1 703.59058 cents 4: 1 712.12718 cents 4: 1 737.37351 cents 5: 1 808.91737 cents 5: 1 820.27468 cents 5: 1 842.70031 cents 5: 1 853.70912 cents 5: 1 867.59814 cents 5: 1 899.27483 cents 5: 1 907.52556 cents 6: 1 982.17599 cents 6: 1 996.06502 cents 6: 1 1004.60162 cents 6: 1 1012.85236 cents 6: 1 1038.09868 cents 6: 1 1071.53312 cents 6: 1 1094.67320 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 : 187.1 292.5 487.9 649.8 867.6 996.1 1200.0 187.1 : 105.3 300.7 462.6 680.5 808.9 1012.9 1200.0 292.5 : 195.4 357.3 575.1 703.6 907.5 1094.7 1200.0 487.9 : 161.9 379.7 508.2 712.1 899.3 1004.6 1200.0 649.8 : 217.8 346.3 550.2 737.4 842.7 1038.1 1200.0 867.6 : 128.5 332.4 519.5 624.9 820.3 982.2 1200.0 996.1 : 203.9 391.1 496.4 691.8 853.7 1071.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 105.3268 .. 217.8240 cents 112.49721 cents 105.32680 cents 2: 292.4744 .. 391.0826 cents 98.60819 cents 74.65043 cents 3: 462.6265 .. 575.1237 cents 112.49721 cents 71.54386 cents 4: 624.8763 .. 737.3735 cents 112.49721 cents 49.75260 cents 5: 808.9174 .. 907.5256 cents 98.60819 cents 71.54386 cents 6: 982.1760 .. 1094.6732 cents 112.49721 cents 74.65043 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 105.32680 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 217.82401 cents Average / Smallest step : 1.627587 Largest / Average step : 1.270640 Largest / Smallest step : 2.068078 Median interval of one step : 187.14764 cents, amount: 1 Least squares average step : 168.20852 cents, oct.: 1177.45961 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DAECGBF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 49.75260 cents Scale diversity : 1.629720 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.460662 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 : 8.25074 cents Number of recognisable fifths : 3, average 702.5085 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: 1 1 1 1 1 1 1 SP B ME I SD: 29.1323 c. M:-50.3827 c. Lebeng 11: 2 1 1 2 2 1 2 P D3 S SD: 26.9372 c. M: 51.5092 c. 12: 2 1 2 2 2 1 2 P M ME I SD: 23.7754 c. M:-50.2259 c. G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Huseni, Kanara, Kapi, Nayaki Kanada, Ritigaula, Sriraga, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam 13: 2 1 2 2 2 2 2 SP M ME S SD: 19.5831 c. M: 36.8289 c. Tamashian 15: 2 2 2 2 3 1 3 SP D3 S SD: 21.0668 c. M: 36.0650 c. 17: 3 1 3 2 3 2 3 P T3 SD: 14.3441 c. M:-24.6171 c. 19: 3 2 3 2 4 2 3 SP D3 SD: 15.4346 c. M:-23.3150 c. 20: 3 2 3 3 3 3 3 SP M ME S SD: 15.1602 c. M: 27.5981 c. Minor quasi-equal Heptatonic 22: 3 2 4 3 4 2 4 P T3 SD: 13.1149 c. M: 23.5113 c. 24: 4 2 4 3 4 3 4 SP T3 SD: 9.9579 c. M: 17.5981 c. 28: 4 3 4 4 5 3 5 SP T3 SD: 10.9442 c. M: 16.4442 c. 29: 5 2 5 4 5 3 5 SP SD: 9.5251 c. M:-19.7489 c. 30: 5 2 5 4 6 3 5 P SD: 9.6184 c. M:-12.8524 c. 32: 5 3 5 4 6 4 5 SP SD: 8.4823 c. M:-16.4350 c. 33: 5 3 5 5 6 3 6 SP SD: 8.5548 c. M: 15.1455 c. 36: 6 3 6 5 6 4 6 SP SD: 9.7877 c. M:-16.8925 c. 37: 6 3 6 5 7 4 6 SP SD: 5.4964 c. M:-9.3404 c. 44: 7 4 7 6 8 5 7 SP SD: 6.5329 c. M:-13.0259 c. 46: 7 4 8 6 8 5 8 SP SD: 5.1445 c. M:-7.7794 c. 54: 8 5 9 7 10 6 9 SP SD: 4.5738 c. M: 9.3699 c. 57: 9 5 9 8 10 6 10 SP SD: 3.6891 c. M: 6.5913 c. 65: 10 6 10 9 12 7 11 SP SD: 3.5999 c. M: 7.8728 c. 66: 10 6 11 9 12 7 11 SP SD: 3.8662 c. M: 5.3295 c. 69: 11 6 11 9 13 7 12 SP SD: 3.6720 c. M: 6.2959 c. 76: 12 7 12 10 14 8 13 SP SD: 3.2257 c. M:-7.5256 c. 77: 12 7 12 11 14 8 13 SP SD: 3.5188 c. M:-5.1291 c. 83: 13 7 14 11 15 9 14 SP SD: 2.0116 c. M:-3.6935 c. 111: 17 10 18 15 20 12 19 SP SD: 1.8699 c. M: 3.3639 c. 116: 18 10 19 16 21 12 20 SP SD: 1.9292 c. M: 2.9616 c. 123: 19 11 20 17 22 13 21 SP SD: 1.6769 c. M:-3.8844 c. 135: 21 12 22 18 25 14 23 SP SD: 1.4825 c. M:-3.5130 c. 140: 22 12 23 19 25 15 24 SP SD: 1.3660 c. M: 1.8839 c. 148: 23 13 24 20 27 16 25 SP SD: 0.8852 c. M: 1.3863 c. 205: 32 18 33 28 37 22 35 SP SD: 0.9723 c. M: 2.0192 c. 231: 36 20 38 31 42 25 39 SP SD: 0.8136 c. M: 1.5653 c. 246: 38 22 40 33 45 26 42 SP SD: 0.8930 c. M: 1.7818 c. 270: 42 24 44 36 49 29 46 SP SD: 0.7476 c. M:-1.0161 c. 271: 42 24 44 37 49 29 46 SP SD: 0.7078 c. M: 1.1698 c. 275: 43 24 45 37 50 29 47 SP SD: 0.6622 c. M: 1.1559 c. 288: 45 25 47 39 52 31 49 SP SD: 0.5193 c. M: 0.9315 c. 307: 48 27 50 41 56 33 52 SP SD: 0.6025 c. M: 0.9142 c. 340: 53 30 55 46 62 36 58 SP SD: 0.5372 c. M: 0.8140 c. 386: 60 34 63 52 70 41 66 SP SD: 0.5478 c. M: 1.2464 c. 418: 65 37 68 56 76 45 71 SP SD: 0.5034 c. M: 0.9703 c. 423: 66 37 69 57 77 45 72 SP SD: 0.2521 c. M:-0.4870 c. 571: 89 50 93 77 104 61 97 SP SD: 0.2708 c. M: 0.3871 c. 578: 90 51 94 78 105 62 98 SP SD: 0.2486 c. M:-0.4748 c. 672: 105 59 109 91 122 72 114 SP SD: 0.3070 c. M:-0.3827 c. 693: 108 61 113 93 126 74 118 SP SD: 0.2872 c. M:-0.4389 c. 711: 111 62 116 96 129 76 121 SP SD: 0.2329 c. M: 0.4913 c. 718: 112 63 117 97 130 77 122 SP SD: 0.1665 c. M:-0.3651 c. 866: 135 76 141 117 157 93 147 SP SD: 0.1332 c. M:-0.2398 c. 1058: 165 93 172 143 192 113 180 SP SD: 0.1322 c. M: 0.2238 c. 1141: 178 100 186 154 207 122 194 SP SD: 0.1027 c. M:-0.1820 c. 1289: 201 113 210 174 234 138 219 SP SD: 0.0699 c. M: 0.1548 c. 1559: 243 137 254 210 283 167 265 SP SD: 0.0933 c. M:-0.1323 c. 1653: 258 145 269 223 300 177 281 SP SD: 0.0782 c. M:-0.1482 c. 1719: 268 151 280 232 312 184 292 SP SD: 0.0873 c. M:-0.1386 c. 1884: 294 165 307 254 342 202 320 SP SD: 0.0891 c. M: 0.1178 c. 1924: 300 169 313 260 349 206 327 SP SD: 0.0741 c. M: 0.1389 c. 2007: 313 176 327 271 364 215 341 SP SD: 0.0721 c. M:-0.1511 c. 2076: 324 182 338 280 377 222 353 SP SD: 0.0717 c. M:-0.1356 c. 2083: 325 183 339 281 378 223 354 SP SD: 0.0834 c. M:-0.1804 c. 2155: 336 189 351 291 391 231 366 SP SD: 0.0823 c. M: 0.1311 c. 2187: 341 192 356 295 397 234 372 SP SD: 0.0976 c. M: 0.1802 c. 2194: 342 193 357 296 398 235 373 SP SD: 0.0881 c. M:-0.1418 c. 2224: 347 195 362 300 404 238 378 SP SD: 0.0731 c. M: 0.1338 c. 2231: 348 196 363 301 405 239 379 SP SD: 0.0600 c. M:-0.1298 c. 2347: 366 206 382 317 426 251 399 SP SD: 0.0603 c. M: 0.1012 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: 26.0904 cents 3 x x 4 x 5 x 6 S SD: 6.5353 cents 4 x 5 x 6 x 7:8 S SD: 27.6932 cents 5 x 6 x 7:8:9:10 S SD: 18.3640 cents 6 x 7:8:9:10:11:12 S SD: 13.5436 cents 7:8 x 9:10 x 12:14 S SD: 19.7264 cents 8:9 x 11:12:13:14:16 SD: 15.3694 cents 9:10:11:12:13:15:16:18 SD: 8.5687 cents 15:17:18:20:22:25:27:30 SD: 7.0472 cents 17:19:20:23:25:28:30:34 SD: 6.2370 cents 18:20:21:24:26:30:32:36 SD: 5.0214 cents 26:29:31:34:38:43:46:52 SD: 4.1176 cents 27:30:32:36:39:45:48:54 SD: 3.4486 cents 28:31:33:37:41:46:50:56 SD: 3.0253 cents 37:41:44:49:54:61:66:74 SD: 2.0640 cents 44:49:52:58:64:73:78:88 SD: 2.0587 cents 53:59:63:70:77:87:94:106 SD: 2.0438 cents 55:61:65:73:80:91:98:110 SD: 1.5122 cents 70:78:83:93:102:116:124:140 SD: 1.5024 cents 71:79:84:94:103:117:126:142 SD: 1.1155 cents 77:86:91:102:112:127:137:154 SD: 0.8418 cents 86:96:102:114:125:142:153:172 SD: 0.7403 cents 114:127:135:151:166:188:203:228 SD: 0.5148 cents 175:195:207:232:255:289:311:350 SD: 0.4095 cents 184:205:218:244:268:304:327:368 SD: 0.3582 cents 246:274:291:326:358:406:437:492 SD: 0.3166 cents 255:284:302:338:371:421:453:510 SD: 0.2375 cents 261:291:309:346:380:431:464:522 SD: 0.2244 cents 332:370:393:440:483:548:590:664 SD: 0.1743 cents 369:411:437:489:537:609:656:738 SD: 0.1158 cents 544:606:644:721:792:898:967:1088 SD: 0.1042 cents