Scala analysis: CD18_05_Tunisia
Istikhbâr, rbâb / Istikhbâr, 'ûd 'Arabî - L'ensemble de Muhammad Ghânim (nawa, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 125.365 cents 125.365400 2: 313.732 cents 313.732416 3: 413.134 cents 413.134204 4: 508.931 cents 508.930544 5: 627.172 cents 627.171693 6: 716.644 cents 716.643851 7: 819.536 cents 819.536482 8: 1033.095 cents 1033.094670 9: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 166.9053 cents 166.9053 1: 125.3654 cents 125.3654 2: 188.3670 cents 188.3670 3: 99.4018 cents 99.4018 4: 95.7963 cents 95.7963 5: 118.2411 cents 118.2411 6: 89.4722 cents 89.4722 7: 102.8926 cents 102.8926 8: 213.5582 cents 213.5582 9: 166.9053 cents 166.9053
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 89.47216 cents 1: 1 95.79634 cents 1: 1 99.40179 cents 1: 1 102.89263 cents 1: 1 118.24115 cents 1: 1 125.36540 cents 1: 1 166.90533 cents 1: 1 188.36702 cents 1: 1 213.55819 cents 2: 1 192.36479 cents 2: 1 195.19813 cents 2: 1 207.71331 cents 2: 1 214.03749 cents 2: 1 287.76880 cents 2: 1 292.27073 cents 2: 1 313.73242 cents 2: 1 316.45082 cents 2: 1 380.46352 cents 3: 1 303.50965 cents 3: 1 310.60594 cents 3: 1 313.43928 cents 3: 1 383.56514 cents 3: 1 405.92298 cents 3: 1 413.13420 cents 3: 1 480.63775 cents 3: 1 483.35615 cents 3: 1 505.82892 cents 4: 1 402.91143 cents 4: 1 406.40228 cents 4: 1 501.80629 cents 4: 1 508.93054 cents 4: 1 524.16413 cents 4: 1 572.82831 cents 4: 1 580.03953 cents 4: 1 608.72155 cents 4: 1 694.19593 cents 5: 1 505.80407 cents 5: 1 591.27845 cents 5: 1 619.96047 cents 5: 1 627.17169 cents 5: 1 675.83587 cents 5: 1 691.06946 cents 5: 1 698.19371 cents 5: 1 793.59772 cents 5: 1 797.08857 cents 6: 1 694.17108 cents 6: 1 716.64385 cents 6: 1 719.36225 cents 6: 1 786.86580 cents 6: 1 794.07702 cents 6: 1 816.43486 cents 6: 1 886.56072 cents 6: 1 889.39406 cents 6: 1 896.49035 cents 7: 1 819.53648 cents 7: 1 883.54918 cents 7: 1 886.26758 cents 7: 1 907.72927 cents 7: 1 912.23120 cents 7: 1 985.96251 cents 7: 1 992.28669 cents 7: 1 1004.80187 cents 7: 1 1007.63521 cents 8: 1 986.44181 cents 8: 1 1011.63298 cents 8: 1 1033.09467 cents 8: 1 1074.63460 cents 8: 1 1081.75885 cents 8: 1 1097.10737 cents 8: 1 1100.59821 cents 8: 1 1104.20366 cents 8: 1 1110.52784 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 9.00000 = 9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 125.4 313.7 413.1 508.9 627.2 716.6 819.5 1033.1 1200.0 125.4 : 188.4 287.8 383.6 501.8 591.3 694.2 907.7 1074.6 1200.0 313.7 : 99.4 195.2 313.4 402.9 505.8 719.4 886.3 1011.6 1200.0 413.1 : 95.8 214.0 303.5 406.4 620.0 786.9 912.2 1100.6 1200.0 508.9 : 118.2 207.7 310.6 524.2 691.1 816.4 1004.8 1104.2 1200.0 627.2 : 89.5 192.4 405.9 572.8 698.2 886.6 986.0 1081.8 1200.0 716.6 : 102.9 316.5 483.4 608.7 797.1 896.5 992.3 1110.5 1200.0 819.5 : 213.6 380.5 505.8 694.2 793.6 889.4 1007.6 1097.1 1200.0 1033.1: 166.9 292.3 480.6 580.0 675.8 794.1 883.5 986.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 89.4722 .. 213.5582 cents 124.08603 cents 89.47216 cents 2: 192.3648 .. 380.4635 cents 188.09873 cents -21.19340 cents 3: 303.5096 .. 505.8289 cents 202.31927 cents -76.95387 cents 4: 402.9114 .. 694.1959 cents 291.28450 cents -102.91748 cents 5: 505.8041 .. 797.0886 cents 291.28450 cents -188.39187 cents 6: 694.1711 .. 896.4904 cents 202.31927 cents -102.91748 cents 7: 819.5365 .. 1007.6352 cents 188.09873 cents -76.95387 cents 8: 986.4418 .. 1110.5278 cents 124.08603 cents -21.19340 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 89.47216 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 213.55819 cents Average / Smallest step : 1.490221 Largest / Average step : 1.601686 Largest / Smallest step : 2.386868 Median interval of one step : 118.24115 cents, amount: 1 Least squares average step : 127.24628 cents, oct.: 1145.21650 cents Scale is not proper Step pattern alph. order: ABCDEFGHI Step pattern size order : FHCBEADIG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.02485 cents Scale diversity : 1.464915 Lumma stability : 0.149120 Lumma impropriety factor : 0.492060 Rothenberg efficiency : 0.222222 redundancy: 0.777778 Efficiency x scale size : 2.000000 Number of different interval sizes : 72 = 9.00000 / class Number of one step interval sizes : 9 Highest interval variety : 9 Mean interval variety : 9.00000 = 9 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 0.02485 cents Number of recognisable fifths : 6, average 702.2727 cents Number of appreciable fifths : 4, average 694.4075 cents Formal octave complements present : 1 = 11.1111% -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 0 1 2 1 N T3 SD: 30.9354 c. M: 49.9772 c. 12: 1 2 1 1 1 1 1 2 2 N SD: 19.9346 c. M: 33.0947 c. 15: 2 2 1 1 2 1 1 3 2 N SD: 17.8061 c. M:-34.6346 c. 17: 2 2 2 1 2 1 2 3 2 N SD: 18.7480 c. M: 31.3795 c. 19: 2 3 1 2 2 1 2 3 3 N SD: 15.6287 c. M: 34.1868 c. 21: 2 3 2 2 2 1 2 4 3 N SD: 16.5653 c. M: 30.9296 c. 23: 2 4 2 2 2 2 2 4 3 N SD: 11.3335 c. M: 21.0176 c. 27: 3 4 2 2 3 2 2 5 4 N SD: 11.5447 c. M: 20.0417 c. 28: 3 4 3 2 3 2 2 5 4 N SD: 10.0121 c. M:-15.6854 c. 29: 3 5 2 2 3 2 3 5 4 N SD: 9.0517 c. M:-17.3021 c. 35: 4 5 3 3 3 3 3 6 5 N SD: 6.1487 c. M:-11.7775 c. 37: 4 6 3 3 3 3 3 7 5 N SD: 7.6847 c. M: 10.9555 c. 38: 4 6 3 3 4 3 3 7 5 N SD: 4.9648 c. M:-9.6719 c. 50: 5 8 4 4 5 4 4 9 7 N SD: 3.6131 c. M: 5.3654 c. 57: 6 9 5 4 6 4 5 10 8 N SD: 3.4325 c. M:-7.9184 c. 84: 9 13 7 7 8 6 7 15 12 N SD: 3.2683 c. M:-5.3552 c. 85: 9 13 7 7 8 7 7 15 12 N SD: 3.0017 c. M: 5.9952 c. 92: 10 14 8 7 9 7 8 16 13 N SD: 2.5389 c. M:-5.0694 c. 95: 10 15 8 7 10 7 8 17 13 N SD: 2.8398 c. M:-4.4073 c. 99: 10 16 8 8 10 7 9 17 14 N SD: 2.6307 c. M:-4.7059 c. 102: 11 16 8 8 10 8 9 18 14 N SD: 2.9424 c. M:-4.0464 c. 104: 11 16 9 8 10 8 9 19 14 N SD: 2.6053 c. M:-5.3669 c. 107: 11 17 9 8 11 8 9 19 15 N SD: 1.8247 c. M: 4.2576 c. 116: 12 18 10 9 12 8 10 21 16 N SD: 2.3045 c. M:-3.8628 c. 122: 13 19 10 10 12 9 10 22 17 N SD: 1.8604 c. M: 3.1430 c. 130: 14 20 11 10 13 10 11 23 18 N SD: 2.0456 c. M:-3.8654 c. 134: 14 21 11 11 13 10 12 23 19 N SD: 1.9252 c. M:-4.3441 c. 142: 15 22 12 11 14 11 12 25 20 N SD: 1.4180 c. M: 2.1088 c. 172: 18 27 14 14 17 13 14 31 24 N SD: 1.4058 c. M: 3.2574 c. 174: 18 28 14 14 17 13 15 31 24 N SD: 1.4922 c. M:-3.5090 c. 180: 19 28 15 14 18 13 16 32 25 N SD: 1.4339 c. M: 3.3105 c. 186: 19 30 15 15 18 14 16 33 26 N SD: 1.3732 c. M: 2.7848 c. 189: 20 29 16 15 19 14 16 34 26 N SD: 1.3690 c. M: 2.6213 c. 201: 21 31 17 16 20 15 17 36 28 N SD: 1.3834 c. M: 3.2847 c. 203: 21 32 17 16 20 15 18 36 28 N SD: 1.1129 c. M:-2.1384 c. 209: 22 33 17 17 20 16 18 37 29 N SD: 1.2852 c. M:-2.0742 c. 214: 22 34 18 17 21 16 18 38 30 N SD: 1.2319 c. M: 2.0009 c. 218: 23 34 18 17 22 16 19 39 30 N SD: 1.1870 c. M: 2.5085 c. 229: 24 36 19 18 23 17 19 41 32 N SD: 1.1017 c. M: 2.0692 c. 230: 24 36 19 18 23 17 20 41 32 N SD: 1.2611 c. M: 2.8436 c. 233: 24 37 19 19 23 17 20 42 32 N SD: 1.1625 c. M:-2.0985 c. 236: 25 37 19 19 23 18 20 42 33 N SD: 1.1523 c. M:-1.7532 c. 238: 25 37 20 19 23 18 21 42 33 N SD: 1.1478 c. M:-2.3123 c. 249: 26 39 21 20 24 19 21 44 35 N SD: 1.1218 c. M:-1.9128 c. 250: 26 39 21 20 25 18 22 44 35 N SD: 1.1046 c. M: 1.7324 c. 253: 26 40 21 20 25 19 22 45 35 N SD: 1.0604 c. M: 2.0452 c. 259: 27 41 21 21 25 20 22 46 36 N SD: 0.9646 c. M: 1.6891 c. 268: 28 42 22 22 26 20 23 48 37 N SD: 0.7819 c. M:-1.5172 c. 278: 29 44 23 22 27 21 24 49 39 N SD: 0.9279 c. M: 1.4400 c. 287: 30 45 24 23 28 21 25 51 40 N SD: 0.7398 c. M: 1.6613 c. 316: 33 50 26 25 31 24 27 56 44 N SD: 0.7312 c. M:-1.4575 c. 325: 34 51 27 26 32 24 28 58 45 N SD: 0.4149 c. M:-0.7515 c. 375: 39 59 31 30 37 28 32 67 52 N SD: 0.3091 c. M: 0.5654 c. 467: 49 73 39 37 46 35 40 83 65 N SD: 0.3082 c. M:-0.5703 c. 653: 68 103 54 52 64 49 56 116 91 N SD: 0.3227 c. M: 0.5254 c. 662: 69 104 55 53 65 49 57 118 92 N SD: 0.2937 c. M: 0.6318 c. 700: 73 110 58 56 69 52 60 125 97 N SD: 0.2498 c. M:-0.6196 c. 735: 77 115 61 59 72 55 63 131 102 N SD: 0.2606 c. M:-0.4572 c. 785: 82 123 65 63 77 59 67 140 109 N SD: 0.2732 c. M: 0.4201 c. 792: 83 124 66 63 78 59 68 141 110 N SD: 0.2437 c. M:-0.5022 c. 804: 84 126 67 64 79 60 69 143 112 N SD: 0.2132 c. M: 0.3060 c. 842: 88 132 70 67 83 63 72 150 117 N SD: 0.1392 c. M:-0.2208 c. 1167: 122 183 97 93 115 87 100 208 162 N SD: 0.1465 c. M:-0.3244 c. 1179: 123 185 98 94 116 88 101 210 164 N SD: 0.1459 c. M: 0.2464 c. 1351: 141 212 112 108 133 101 116 240 188 N SD: 0.1458 c. M:-0.3007 c. 1473: 154 231 122 118 145 110 126 262 205 N SD: 0.1389 c. M:-0.2604 c. 1502: 157 236 124 120 148 112 129 267 209 N SD: 0.1096 c. M:-0.2489 c. 1504: 157 236 125 120 148 112 129 268 209 N SD: 0.1250 c. M: 0.1686 c. 1653: 173 259 137 132 163 123 142 294 230 N SD: 0.1045 c. M:-0.2244 c. 1703: 178 267 141 136 168 127 146 303 237 N SD: 0.1176 c. M: 0.2158 c. 1827: 191 287 151 146 180 136 157 325 254 N SD: 0.1120 c. M:-0.2249 c. 1839: 192 289 152 147 181 137 158 327 256 N SD: 0.1007 c. M: 0.1675 c. 1877: 196 295 155 150 185 140 161 334 261 N SD: 0.0818 c. M:-0.1728 c. 2019: 211 317 167 161 199 151 173 359 281 N SD: 0.1029 c. M: 0.1638 c. 2028: 212 318 168 162 200 151 174 361 282 N SD: 0.0727 c. M: 0.1229 c. 2344: 245 368 194 187 231 175 201 417 326 N SD: 0.0586 c. M:-0.0901 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x 4 S SD: 7.3444 cents 3 x x x 4 x x 5 x 6 S SD: 21.9100 cents 4 x x 5 x x 6 x 7:8 S SD: 17.7932 cents 5 x 6 x x 7 x 8:9:10 S SD: 9.5342 cents 6 x 7 x 8 x 9:10:11:12 S SD: 13.9412 cents 7 x 8:9 x 10 x 11:13:14 SD: 16.8772 cents 8:9 x 10:11 x 12:13:15:16 SD: 15.8988 cents 9:10:11 x 12:13:14 x 16:18 S SD: 13.0107 cents 10:11:12:13 x 14:15:16:18:20 S SD: 9.4762 cents 11:12:13:14:15:16:17:18:20:22 S SD: 7.8345 cents 12:13:14:15:16:17:18:19:22:24 SD: 7.7363 cents 13:14:16 x 17:19:20:21:24:26 SD: 10.2599 cents 14:15:17:18:19:20:21:22:25:28 SD: 6.9821 cents 15:16:18:19:20:22:23:24:27:30 S SD: 5.4779 cents 21:23:25:27:28:30:32:34:38:42 SD: 5.3060 cents 23:25:28:29:31:33:35:37:42:46 SD: 4.2909 cents 25:27:30:32:34:36:38:40:45:50 SD: 3.8088 cents 26:28:31:33:35:37:39:42:47:52 SD: 3.1232 cents 37:40:44:47:50:53:56:59:67:74 SD: 2.7765 cents 41:44:49:52:55:59:62:66:74:82 SD: 1.5190 cents 55:59:66:70:74:79:83:88:100:110 SD: 1.1970 cents 81:87:97:103:109:116:123:130:147:162 SD: 1.1839 cents 82:88:98:104:110:118:124:132:149:164 SD: 0.9341 cents 94:101:113:119:126:135:142:151:171:188 SD: 0.9137 cents 96:103:115:122:129:138:145:154:174:192 SD: 0.7557 cents 119:128:143:151:160:171:180:191:216:238 SD: 0.6536 cents 131:141:157:166:176:188:198:210:238:262 SD: 0.6260 cents 137:147:164:174:184:197:207:220:249:274 SD: 0.6015 cents 146:157:175:185:196:210:221:234:265:292 SD: 0.5755 cents 160:172:192:203:215:230:242:257:291:320 SD: 0.4912 cents 170:183:204:216:228:244:257:273:309:340 SD: 0.4601 cents 185:199:222:235:248:266:280:297:336:370 SD: 0.3677 cents 211:227:253:268:283:303:319:339:383:422 SD: 0.2963 cents 252:271:302:320:338:362:381:405:458:504 SD: 0.2918 cents 281:302:337:357:377:404:425:451:510:562 SD: 0.2821 cents 293:315:351:372:393:421:443:470:532:586 SD: 0.2414 cents 316:340:379:401:424:454:478:507:574:632 SD: 0.2388 cents 337:362:404:428:452:484:510:541:612:674 SD: 0.2163 cents 357:384:428:453:479:513:540:573:648:714 SD: 0.1908 cents 398:428:477:505:534:572:602:639:723:796 SD: 0.1514 cents 468:503:561:594:628:672:708:751:850:936 SD: 0.1460 cents 598:643:717:759:802:859:905:960:1086:1196 SD: 0.1382 cents 600:645:719:762:805:862:908:963:1090:1200 SD: 0.1378 cents