Scala analysis: CD17_07_Tunisia
Tawshiya 'Irâq - L'ensemble de Muhammad Ghânim (dhil, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 169.413 cents 169.412885 2: 274.493 cents 274.492702 3: 449.344 cents 449.344443 4: 667.225 cents 667.225470 5: 805.308 cents 805.307659 6: 976.293 cents 976.292568 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 223.7074 cents 223.7074 1: 169.4129 cents 169.4129 2: 105.0798 cents 105.0798 3: 174.8517 cents 174.8517 4: 217.8810 cents 217.8810 5: 138.0822 cents 138.0822 6: 170.9849 cents 170.9849 7: 223.7074 cents 223.7074
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 105.07982 cents 1: 1 138.08219 cents 1: 1 169.41289 cents 1: 1 170.98491 cents 1: 1 174.85174 cents 1: 1 217.88103 cents 1: 1 223.70743 cents 2: 1 274.49270 cents 2: 1 279.93156 cents 2: 1 309.06710 cents 2: 1 355.96322 cents 2: 1 392.73277 cents 2: 1 393.12032 cents 2: 1 394.69234 cents 3: 1 449.34444 cents 3: 1 497.81258 cents 3: 1 498.20013 cents 3: 1 526.94812 cents 3: 1 530.81496 cents 3: 1 532.77453 cents 3: 1 564.10523 cents 4: 1 635.89477 cents 4: 1 667.22547 cents 4: 1 669.18504 cents 4: 1 673.05188 cents 4: 1 701.79987 cents 4: 1 702.18742 cents 4: 1 750.65556 cents 5: 1 805.30766 cents 5: 1 806.87968 cents 5: 1 807.26723 cents 5: 1 844.03678 cents 5: 1 890.93290 cents 5: 1 920.06844 cents 5: 1 925.50730 cents 6: 1 976.29257 cents 6: 1 982.11897 cents 6: 1 1025.14826 cents 6: 1 1029.01509 cents 6: 1 1030.58711 cents 6: 1 1061.91781 cents 6: 1 1094.92018 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 : 169.4 274.5 449.3 667.2 805.3 976.3 1200.0 169.4 : 105.1 279.9 497.8 635.9 806.9 1030.6 1200.0 274.5 : 174.9 392.7 530.8 701.8 925.5 1094.9 1200.0 449.3 : 217.9 356.0 526.9 750.7 920.1 1025.1 1200.0 667.2 : 138.1 309.1 532.8 702.2 807.3 982.1 1200.0 805.3 : 171.0 394.7 564.1 669.2 844.0 1061.9 1200.0 976.3 : 223.7 393.1 498.2 673.1 890.9 1029.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 105.0798 .. 223.7074 cents 118.62762 cents 105.07982 cents 2: 274.4927 .. 394.6923 cents 120.19964 cents 50.78527 cents 3: 449.3444 .. 564.1052 cents 114.76078 cents 54.65210 cents 4: 635.8948 .. 750.6556 cents 114.76078 cents 71.78955 cents 5: 805.3077 .. 925.5073 cents 120.19964 cents 54.65210 cents 6: 976.2926 .. 1094.9202 cents 118.62762 cents 50.78527 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 105.07982 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 223.70743 cents Average / Smallest step : 1.631413 Largest / Average step : 1.304960 Largest / Smallest step : 2.128929 Median interval of one step : 170.98491 cents, amount: 1 Least squares average step : 164.42591 cents, oct.: 1150.98136 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CAEFBDG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 50.78527 cents Scale diversity : 1.603789 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.410687 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 : 0.38755 cents Number of recognisable fifths : 2, average 701.9936 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: 45.7586 c. M:-68.3644 c. Lebeng 8: 1 1 1 1 1 1 2 P M ME S SD: 45.3977 c. M: 76.2926 c. 9: 1 1 1 2 1 1 2 P M ME S SD: 28.4651 c. M: 49.3444 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 28.8260 c. M:-50.6556 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 13: 2 1 2 2 2 2 2 SP M ME S SD: 20.7234 c. M:-39.0920 c. Tamashian 14: 2 1 2 3 1 2 3 P T3 SD: 21.8572 c. M: 33.8791 c. 15: 2 1 2 3 2 2 3 P T3 S SD: 26.0441 c. M: 49.3444 c. 16: 2 2 2 3 2 2 3 SP M ME S SD: 14.5298 c. M:-25.5073 c. Antilydian 21: 3 2 3 4 2 3 4 SP T3 SD: 9.1376 c. M:-18.4888 c. 22: 3 2 3 4 3 3 4 SP T3 S SD: 8.9606 c. M: 12.9808 c. 27: 4 2 4 5 3 4 5 SP SD: 5.1536 c. M:-8.3649 c. 43: 6 4 6 8 5 6 8 SP SD: 2.8153 c. M:-4.5771 c. 70: 10 6 10 13 8 10 13 SP SD: 1.6896 c. M: 3.6302 c. 101: 14 9 15 18 12 14 19 SP SD: 2.0719 c. M: 3.0763 c. 113: 16 10 16 21 13 16 21 SP SD: 1.7234 c. M: 3.3267 c. 128: 18 11 19 23 15 18 24 SP SD: 1.3545 c. M: 2.6177 c. 149: 21 13 22 27 17 21 28 SP SD: 1.0713 c. M: 1.7959 c. 171: 24 15 25 31 20 24 32 SP SD: 0.8986 c. M:-1.7099 c. 192: 27 17 28 35 22 27 36 SP SD: 0.9265 c. M:-1.5245 c. 198: 28 17 29 36 23 28 37 SP SD: 0.8537 c. M: 1.7654 c. 219: 31 19 32 40 25 31 41 SP SD: 0.6561 c. M:-1.2677 c. 331: 47 29 48 60 38 47 62 SP SD: 0.7030 c. M: 1.0660 c. 347: 49 30 51 63 40 49 65 SP SD: 0.6693 c. M: 1.2939 c. 349: 49 31 51 63 40 50 65 SP SD: 0.6525 c. M:-1.0854 c. 353: 50 31 51 64 41 50 66 SP SD: 0.6406 c. M: 0.9365 c. 371: 52 33 54 67 43 53 69 SP SD: 0.6403 c. M: 1.2188 c. 376: 53 33 55 68 43 54 70 SP SD: 0.4987 c. M: 1.0523 c. 390: 55 34 57 71 45 55 73 SP SD: 0.5635 c. M: 0.9080 c. 398: 56 35 58 72 46 57 74 SP SD: 0.4746 c. M: 0.8938 c. 419: 59 37 61 76 48 60 78 SP SD: 0.3535 c. M: 0.5344 c. 446: 63 39 65 81 51 64 83 SP SD: 0.3470 c. M: 0.8234 c. 489: 69 43 71 89 56 70 91 SP SD: 0.2892 c. M: 0.3997 c. 547: 77 48 80 99 63 78 102 SP SD: 0.2923 c. M: 0.4915 c. 574: 81 50 84 104 66 82 107 SP SD: 0.3174 c. M: 0.6251 c. 590: 83 52 86 107 68 84 110 SP SD: 0.2429 c. M: 0.5993 c. 617: 87 54 90 112 71 88 115 SP SD: 0.1464 c. M: 0.2626 c. 1106: 156 97 161 201 127 158 206 SP SD: 0.1465 c. M: 0.2444 c. 1255: 177 110 183 228 144 179 234 SP SD: 0.1288 c. M: 0.2081 c. 1277: 180 112 186 232 147 182 238 SP SD: 0.1275 c. M: 0.2664 c. 1487: 210 130 217 270 171 212 277 SP SD: 0.1186 c. M:-0.1701 c. 1496: 211 131 218 272 172 213 279 SP SD: 0.1236 c. M: 0.1615 c. 1530: 216 134 223 278 176 218 285 SP SD: 0.1313 c. M:-0.2255 c. 1538: 217 135 224 279 177 219 287 SP SD: 0.1271 c. M: 0.2197 c. 1565: 221 137 228 284 180 223 292 SP SD: 0.1162 c. M: 0.1958 c. 1608: 227 141 234 292 185 229 300 SP SD: 0.0979 c. M: 0.1732 c. 1770: 250 155 258 321 204 252 330 SP SD: 0.0927 c. M:-0.1471 c. 1840: 260 161 268 334 212 262 343 SP SD: 0.0823 c. M:-0.1523 c. 1989: 281 174 290 361 229 283 371 SP SD: 0.0949 c. M:-0.1277 c. 2104: 297 184 307 382 242 300 392 SP SD: 0.0897 c. M: 0.1581 c. 2147: 303 188 313 390 247 306 400 SP SD: 0.0865 c. M:-0.1397 c. 2182: 308 191 318 396 251 311 407 SP SD: 0.0994 c. M: 0.1748 c. 2189: 309 192 319 397 252 312 408 SP SD: 0.0941 c. M:-0.1759 c. 2216: 313 194 323 402 255 316 413 SP SD: 0.0736 c. M:-0.1140 c. 2225: 314 195 324 404 256 317 415 SP SD: 0.0756 c. M: 0.1128 c. 2259: 319 198 329 410 260 322 421 SP SD: 0.0664 c. M:-0.1421 c. 2387: 337 209 348 433 275 340 445 SP SD: 0.0582 c. M: 0.1119 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: 17.3648 cents 3 x x 4 x 5 x 6 S SD: 30.9494 cents 4 x x 5:6 x 7:8 S SD: 18.0879 cents 5 x 6 x 7:8:9:10 S SD: 20.6356 cents 6 x 7:8:9:10:11:12 S SD: 20.5645 cents 7 x 8:9:10:11:12:14 S SD: 13.8818 cents 8:9 x 10:12:13:14:16 S SD: 14.5919 cents 10:11:12:13:15:16:18:20 SD: 9.8132 cents 13:14:15:17:19:21:23:26 SD: 8.4418 cents 17:19:20:22:25:27:30:34 SD: 3.6716 cents 29:32:34:38:43:46:51:58 SD: 3.5247 cents 30:33:35:39:44:48:53:60 SD: 2.3424 cents 40:44:47:52:59:64:70:80 SD: 2.1329 cents 41:45:48:53:60:65:72:82 SD: 2.1081 cents 47:52:55:61:69:75:83:94 SD: 1.6269 cents 57:63:67:74:84:91:100:114 SD: 1.4094 cents 58:64:68:75:85:92:102:116 SD: 1.4000 cents 77:85:90:100:113:123:135:154 SD: 1.3651 cents 81:89:95:105:119:129:142:162 SD: 1.1417 cents 87:96:102:113:128:139:153:174 SD: 1.0128 cents 88:97:103:114:129:140:155:176 SD: 0.9904 cents 98:108:115:127:144:156:172:196 SD: 0.5494 cents 128:141:150:166:188:204:225:256 SD: 0.4493 cents 145:160:170:188:213:231:255:290 SD: 0.3475 cents 223:246:261:289:328:355:392:446 SD: 0.3405 cents 243:268:285:315:357:387:427:486 SD: 0.2912 cents 304:335:356:394:447:484:534:608 SD: 0.2910 cents 314:346:368:407:462:500:552:628 SD: 0.2859 cents 321:354:376:416:472:511:564:642 SD: 0.1625 cents 449:495:526:582:660:715:789:898 SD: 0.1282 cents 466:514:546:604:685:742:819:932 SD: 0.0797 cents