Scala analysis: CD17_03_Tunisia
J'ai juré de ne jamais aimé d'autre que vous - 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: 175.108 cents 175.108169 2: 275.737 cents 275.737363 3: 476.633 cents 476.632627 4: 658.315 cents 658.314613 5: 814.777 cents 814.776559 6: 983.748 cents 983.747664 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 216.2523 cents 216.2523 1: 175.1082 cents 175.1082 2: 100.6292 cents 100.6292 3: 200.8953 cents 200.8953 4: 181.6820 cents 181.6820 5: 156.4619 cents 156.4619 6: 168.9711 cents 168.9711 7: 216.2523 cents 216.2523
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 100.62919 cents 1: 1 156.46195 cents 1: 1 168.97110 cents 1: 1 175.10817 cents 1: 1 181.68199 cents 1: 1 200.89526 cents 1: 1 216.25234 cents 2: 1 275.73736 cents 2: 1 301.52446 cents 2: 1 325.43305 cents 2: 1 338.14393 cents 2: 1 382.57725 cents 2: 1 385.22344 cents 2: 1 391.36050 cents 3: 1 476.63263 cents 3: 1 483.20644 cents 3: 1 491.98970 cents 3: 1 507.11504 cents 3: 1 539.03920 cents 3: 1 541.68539 cents 3: 1 560.33161 cents 4: 1 639.66839 cents 4: 1 658.31461 cents 4: 1 660.96080 cents 4: 1 692.88496 cents 4: 1 708.01030 cents 4: 1 716.79356 cents 4: 1 723.36737 cents 5: 1 808.63950 cents 5: 1 814.77656 cents 5: 1 817.42275 cents 5: 1 861.85607 cents 5: 1 874.56695 cents 5: 1 898.47554 cents 5: 1 924.26264 cents 6: 1 983.74766 cents 6: 1 999.10474 cents 6: 1 1018.31801 cents 6: 1 1024.89183 cents 6: 1 1031.02890 cents 6: 1 1043.53805 cents 6: 1 1099.37081 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 : 175.1 275.7 476.6 658.3 814.8 983.7 1200.0 175.1 : 100.6 301.5 483.2 639.7 808.6 1024.9 1200.0 275.7 : 200.9 382.6 539.0 708.0 924.3 1099.4 1200.0 476.6 : 181.7 338.1 507.1 723.4 898.5 999.1 1200.0 658.3 : 156.5 325.4 541.7 716.8 817.4 1018.3 1200.0 814.8 : 169.0 385.2 560.3 661.0 861.9 1043.5 1200.0 983.7 : 216.3 391.4 492.0 692.9 874.6 1031.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.6292 .. 216.2523 cents 115.62314 cents 100.62919 cents 2: 275.7374 .. 391.3605 cents 115.62314 cents 59.48503 cents 3: 476.6326 .. 560.3316 cents 83.69898 cents 85.27212 cents 4: 639.6684 .. 723.3674 cents 83.69898 cents 79.33678 cents 5: 808.6395 .. 924.2626 cents 115.62314 cents 85.27212 cents 6: 983.7477 .. 1099.3708 cents 115.62314 cents 59.48503 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 100.62919 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 216.25234 cents Average / Smallest step : 1.703567 Largest / Average step : 1.261472 Largest / Smallest step : 2.149002 Median interval of one step : 175.10817 cents, amount: 1 Least squares average step : 165.47220 cents, oct.: 1158.30540 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DAFEBCG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 59.48503 cents Scale diversity : 1.581375 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.475091 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 : 2.64619 cents Number of recognisable fifths : 3, average 705.8963 cents Number of appreciable fifths : 2, average 700.4476 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: 38.7136 c. M:-67.1198 c. Lebeng 10: 1 1 2 1 2 1 2 P M ME S SD: 35.7095 c. M: 58.3146 c. 11: 2 1 1 2 1 2 2 N D3 SD: 35.3878 c. M:-51.5354 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 23.8282 c. M:-41.6854 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: 15.6943 c. M:-31.6370 c. Tamashian 16: 2 2 2 3 2 2 3 SP M ME S SD: 18.4694 c. M: 26.6326 c. Antilydian 18: 3 1 3 3 2 3 3 P T3 SD: 13.9050 c. M:-24.8918 c. 21: 3 2 3 3 3 3 4 SP T3 SD: 15.8010 c. M: 29.7432 c. 22: 3 2 4 3 3 3 4 SP D3 SD: 7.3095 c. M:-14.2765 c. Gandhaara Grama (Sarngadeva der. sa-grama) 34: 5 3 6 5 4 5 6 SP SD: 8.7112 c. M:-17.4850 c. 35: 5 3 6 5 5 5 6 SP SD: 5.9851 c. M:-10.5381 c. 40: 6 3 7 6 5 6 7 SP SD: 4.3578 c. M:-6.2523 c. 56: 8 5 9 9 7 8 10 SP SD: 3.5540 c. M:-5.9711 c. 60: 9 5 10 9 8 8 11 SP SD: 3.7342 c. M:-5.2234 c. 62: 9 5 11 9 8 9 11 SP SD: 3.6009 c. M:-7.2383 c. 71: 10 6 12 11 9 10 13 SP SD: 3.8160 c. M: 6.0941 c. 75: 11 6 13 11 10 10 14 SP SD: 3.6446 c. M: 7.7477 c. 78: 11 7 13 12 10 11 14 SP SD: 2.6063 c. M: 5.8774 c. 84: 12 7 14 13 11 12 15 SP SD: 3.0395 c. M: 5.2041 c. 88: 13 7 15 13 12 12 16 SP SD: 2.4980 c. M: 3.7692 c. 95: 14 8 16 14 13 13 17 SP SD: 2.9965 c. M:-6.2761 c. 96: 14 8 16 15 12 14 17 SP SD: 2.3905 c. M:-4.1854 c. 100: 15 8 17 15 13 14 18 SP SD: 2.3827 c. M:-4.8918 c. 109: 16 9 18 17 14 15 20 SP SD: 2.1476 c. M: 3.9312 c. 116: 17 10 19 18 15 16 21 SP SD: 2.2385 c. M:-3.7544 c. 118: 17 10 20 18 15 17 21 SP SD: 1.8563 c. M:-2.7023 c. 131: 19 11 22 20 17 18 24 SP SD: 1.5469 c. M: 3.5950 c. 138: 20 12 23 21 18 19 25 SP SD: 1.8940 c. M:-2.6147 c. 139: 20 12 23 21 18 20 25 SP SD: 1.8983 c. M: 3.2658 c. 143: 21 12 24 21 19 20 26 SP SD: 1.8539 c. M: 3.7692 c. 144: 21 12 24 22 19 20 26 SP SD: 0.9975 c. M:-1.8901 c. 184: 27 15 31 28 24 26 33 SP SD: 0.9254 c. M: 1.8243 c. 199: 29 17 33 30 26 28 36 SP SD: 0.8526 c. M:-1.6496 c. 221: 32 19 37 33 29 31 40 SP SD: 1.0235 c. M: 1.3525 c. 234: 34 20 39 35 31 33 42 SP SD: 0.9857 c. M: 1.9044 c. 239: 35 20 40 36 31 34 43 SP SD: 0.6617 c. M: 1.3874 c. 262: 38 22 44 40 34 37 47 SP SD: 0.8277 c. M:-1.2274 c. 283: 41 24 47 43 37 40 51 SP SD: 0.9346 c. M: 1.7210 c. 287: 42 24 48 43 38 40 52 SP SD: 0.8838 c. M: 1.8686 c. 295: 43 25 49 45 38 42 53 SP SD: 0.7223 c. M: 1.2172 c. 317: 46 27 53 48 41 45 57 SP SD: 0.6088 c. M: 0.9757 c. 343: 50 29 57 52 45 48 62 SP SD: 0.5436 c. M: 0.8309 c. 370: 54 31 62 56 48 52 67 SP SD: 0.4837 c. M: 1.0450 c. 383: 56 32 64 58 50 54 69 SP SD: 0.2471 c. M: 0.3924 c. 561: 82 47 94 85 73 79 101 SP SD: 0.2942 c. M:-0.5089 c. 700: 102 59 117 106 91 99 126 SP SD: 0.2510 c. M: 0.4908 c. 760: 111 64 127 115 99 107 137 SP SD: 0.2448 c. M:-0.5784 c. 788: 115 66 132 119 103 111 142 SP SD: 0.1748 c. M: 0.4466 c. 800: 117 67 134 121 104 113 144 SP SD: 0.2757 c. M:-0.3918 c. 828: 121 69 139 125 108 117 149 SP SD: 0.2757 c. M: 0.3750 c. 831: 121 70 139 126 108 117 150 SP SD: 0.2467 c. M: 0.3789 c. 844: 123 71 141 128 110 119 152 SP SD: 0.1669 c. M: 0.3293 c. 944: 138 79 158 143 123 133 170 SP SD: 0.1544 c. M:-0.3156 c. 1015: 148 85 170 154 132 143 183 SP SD: 0.1749 c. M: 0.2694 c. 1075: 157 90 180 163 140 151 194 SP SD: 0.1738 c. M: 0.3058 c. 1088: 159 91 182 165 142 153 196 SP SD: 0.1722 c. M:-0.2970 c. 1110: 162 93 186 168 145 156 200 SP SD: 0.1483 c. M:-0.3586 c. 1150: 168 96 193 174 150 162 207 SP SD: 0.1972 c. M: 0.2591 c. 1158: 169 97 194 175 151 163 209 SP SD: 0.1969 c. M: 0.3280 c. 1165: 170 98 195 176 152 164 210 SP SD: 0.1659 c. M:-0.3141 c. 1214: 177 102 203 184 158 171 219 SP SD: 0.1639 c. M: 0.2790 c. 1227: 179 103 205 186 160 173 221 SP SD: 0.1546 c. M: 0.3490 c. 1249: 182 105 209 189 163 176 225 SP SD: 0.1274 c. M: 0.2483 c. 1261: 184 106 211 191 164 178 227 SP SD: 0.1712 c. M:-0.2341 c. 1287: 188 108 215 195 168 181 232 SP SD: 0.1486 c. M:-0.2533 c. 1309: 191 110 219 198 171 184 236 SP SD: 0.1210 c. M:-0.1985 c. 1349: 197 113 226 204 176 190 243 SP SD: 0.0916 c. M:-0.1650 c. 1692: 247 142 283 256 221 238 305 SP SD: 0.1006 c. M: 0.1586 c. 1719: 251 144 288 260 224 242 310 SP SD: 0.1029 c. M:-0.1562 c. 1732: 253 145 290 262 226 244 312 SP SD: 0.0889 c. M:-0.1805 c. 1788: 261 150 299 271 233 252 322 SP SD: 0.0891 c. M:-0.1450 c. 1803: 263 151 302 273 235 254 325 SP SD: 0.1062 c. M: 0.1966 c. 1810: 264 152 303 274 236 255 326 SP SD: 0.0647 c. M:-0.1197 c. 2180: 318 183 365 330 284 307 393 SP SD: 0.0617 c. M: 0.0977 c. 2193: 320 184 367 332 286 309 395 SP SD: 0.0488 c. M:-0.1101 c. 2324: 339 195 389 352 303 327 419 SP SD: 0.0499 c. M: 0.0988 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: 21.8202 cents 3 x x 4 x 5 x 6 S SD: 24.2674 cents 4 x x 5:6 x 7:8 S SD: 25.3533 cents 5 x 6 x 7:8:9:10 S SD: 18.4231 cents 6 x 7:8:9:10:11:12 S SD: 17.9417 cents 7 x 8:9:10:11:12:14 S SD: 15.7969 cents 8:9 x 11:12:13:14:16 SD: 15.9841 cents 9:10:11:12:13:14:16:18 S SD: 13.3688 cents 10:11:12:13:15:16:18:20 SD: 10.3494 cents 12:13:14:16:18:19:21:24 SD: 9.4420 cents 13:14:15:17:19:21:23:26 SD: 8.3069 cents 16:18:19:21:23:26:28:32 SD: 7.9874 cents 17:19:20:22:25:27:30:34 SD: 5.5923 cents 18:20:21:24:26:29:32:36 SD: 5.2138 cents 22:24:26:29:32:35:39:44 SD: 4.6308 cents 28:31:33:37:41:45:49:56 SD: 2.7918 cents 35:39:41:46:51:56:62:70 SD: 2.2453 cents 47:52:55:62:69:75:83:94 SD: 1.3971 cents 63:70:74:83:92:101:111:126 SD: 1.3191 cents 75:83:88:99:110:120:132:150 SD: 1.1641 cents 76:84:89:100:111:122:134:152 SD: 0.9328 cents 110:122:129:145:161:176:194:220 SD: 0.7080 cents 123:136:144:162:180:197:217:246 SD: 0.4855 cents 180:199:211:237:263:288:318:360 SD: 0.4340 cents 186:206:218:245:272:298:328:372 SD: 0.4114 cents 196:217:230:258:287:314:346:392 SD: 0.4109 cents 208:230:244:274:304:333:367:416 SD: 0.2852 cents 255:282:299:336:373:408:450:510 SD: 0.2485 cents 290:321:340:382:424:464:512:580 SD: 0.2306 cents 348:385:408:458:509:557:614:696 SD: 0.2131 cents 366:405:429:482:535:586:646:732 SD: 0.1931 cents 376:416:441:495:550:602:664:752 SD: 0.1508 cents 451:499:529:594:660:722:796:902 SD: 0.1470 cents 499:552:585:657:730:799:881:998 SD: 0.1268 cents 527:583:618:694:771:844:930:1054 SD: 0.1224 cents 562:622:659:740:822:900:992:1124 SD: 0.1058 cents