Scala analysis: CD18_06_rasd_al_dhil_Tunisia
Istikhbâr, rbâb / Istikhbâr, 'ûd 'Arabî - 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: 191.563 cents 191.563133 2: 295.388 cents 295.387835 3: 362.502 cents 362.501938 4: 578.216 cents 578.215593 5: 701.729 cents 701.729019 6: 904.071 cents 904.071490 7: 1069.155 cents 1069.155411 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 130.8446 cents 130.8446 1: 191.5631 cents 191.5631 2: 103.8247 cents 103.8247 3: 67.1141 cents 67.1141 4: 215.7137 cents 215.7137 5: 123.5134 cents 123.5134 6: 202.3425 cents 202.3425 7: 165.0839 cents 165.0839 8: 130.8446 cents 130.8446
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 67.11410 cents 1: 1 103.82470 cents 1: 1 123.51343 cents 1: 1 130.84459 cents 1: 1 165.08392 cents 1: 1 191.56313 cents 1: 1 202.34247 cents 1: 1 215.71366 cents 2: 1 170.93880 cents 2: 1 282.82776 cents 2: 1 295.38784 cents 2: 1 295.92851 cents 2: 1 322.40772 cents 2: 1 325.85590 cents 2: 1 339.22708 cents 2: 1 367.42639 cents 3: 1 362.50194 cents 3: 1 386.65246 cents 3: 1 406.34118 cents 3: 1 426.23242 cents 3: 1 487.49164 cents 3: 1 490.93982 cents 3: 1 498.27098 cents 3: 1 541.56955 cents 4: 1 493.34653 cents 4: 1 510.16589 cents 4: 1 578.21559 cents 4: 1 591.31635 cents 4: 1 608.68365 cents 4: 1 621.78441 cents 4: 1 689.83411 cents 4: 1 706.65347 cents 5: 1 658.43045 cents 5: 1 701.72902 cents 5: 1 709.06018 cents 5: 1 712.50836 cents 5: 1 773.76758 cents 5: 1 793.65882 cents 5: 1 813.34754 cents 5: 1 837.49806 cents 6: 1 832.57361 cents 6: 1 860.77292 cents 6: 1 874.14410 cents 6: 1 877.59228 cents 6: 1 904.07149 cents 6: 1 904.61216 cents 6: 1 917.17224 cents 6: 1 1029.06119 cents 7: 1 984.28634 cents 7: 1 997.65753 cents 7: 1 1008.43687 cents 7: 1 1034.91608 cents 7: 1 1069.15541 cents 7: 1 1076.48657 cents 7: 1 1096.17530 cents 7: 1 1132.88590 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 191.6 295.4 362.5 578.2 701.7 904.1 1069.2 1200.0 191.6 : 103.8 170.9 386.7 510.2 712.5 877.6 1008.4 1200.0 295.4 : 67.1 282.8 406.3 608.7 773.8 904.6 1096.2 1200.0 362.5 : 215.7 339.2 541.6 706.7 837.5 1029.1 1132.9 1200.0 578.2 : 123.5 325.9 490.9 621.8 813.3 917.2 984.3 1200.0 701.7 : 202.3 367.4 498.3 689.8 793.7 860.8 1076.5 1200.0 904.1 : 165.1 295.9 487.5 591.3 658.4 874.1 997.7 1200.0 1069.2: 130.8 322.4 426.2 493.3 709.1 832.6 1034.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 67.1141 .. 215.7137 cents 148.59955 cents 67.11410 cents 2: 170.9388 .. 367.4264 cents 196.48759 cents -44.77485 cents 3: 362.5019 .. 541.5696 cents 179.06761 cents -4.92445 cents 4: 493.3465 .. 706.6535 cents 213.30695 cents -48.22303 cents 5: 658.4304 .. 837.4981 cents 179.06761 cents -48.22303 cents 6: 832.5736 .. 1029.0612 cents 196.48759 cents -4.92445 cents 7: 984.2863 .. 1132.8859 cents 148.59955 cents -44.77485 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 67.11410 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 215.71366 cents Average / Smallest step : 2.235000 Largest / Average step : 1.438091 Largest / Smallest step : 3.214133 Median interval of one step : 147.96425 cents, amount: 0 Least squares average step : 148.03857 cents, oct.: 1184.30858 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : FBAHCGED Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.40671 cents Scale diversity : 1.675704 Lumma stability : 0.111857 Lumma impropriety factor : 0.163204 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 0.54067 cents Number of recognisable fifths : 5, average 703.9570 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 0 2 1 1 1 1 N T3 SD: 33.2480 c. M: 62.5019 c. 9: 1 1 1 1 1 2 1 1 P M ME SD: 34.8711 c. M: 58.2298 c. 10: 2 1 0 2 1 2 1 1 N T3 SD: 36.3681 c. M:-64.6122 c. 11: 2 1 0 2 1 2 2 1 N SD: 31.0676 c. M: 47.1836 c. 12: 2 1 1 2 1 2 2 1 P D3 S SD: 19.1836 c. M:-37.4981 c. 16: 3 1 1 3 1 3 2 2 N SD: 18.9341 c. M:-33.4369 c. 17: 3 1 1 3 2 3 2 2 N SD: 12.0428 c. M:-20.2016 c. 20: 3 2 1 4 2 3 3 2 N SD: 11.7463 c. M:-21.7844 c. 21: 3 2 1 4 2 4 3 2 N SD: 13.9909 c. M: 20.1346 c. 24: 4 2 1 5 2 4 3 3 N SD: 11.7782 c. M:-21.7844 c. 25: 4 2 2 4 3 4 3 3 P SD: 11.6812 c. M:-21.4981 c. 27: 4 3 1 5 3 4 4 3 N SD: 10.0650 c. M:-15.7233 c. 29: 5 2 2 5 3 5 4 3 N SD: 7.5392 c. M:-15.3334 c. 31: 5 3 1 6 3 5 5 3 N SD: 10.2676 c. M:-14.7156 c. 33: 5 3 2 6 3 6 4 4 N SD: 7.7862 c. M: 14.6100 c. 36: 6 3 2 6 4 6 5 4 N SD: 5.7980 c. M: 11.5489 c. 37: 6 3 2 7 4 6 5 4 N SD: 5.4981 c. M:-11.7845 c. 44: 7 4 2 8 5 7 6 5 N SD: 5.2005 c. M: 7.9565 c. 49: 8 4 3 9 5 8 7 5 N SD: 5.9397 c. M:-9.5395 c. 50: 8 4 3 9 5 9 7 5 N SD: 5.9079 c. M:-10.8446 c. 56: 9 5 3 10 6 9 8 6 N SD: 3.1086 c. M:-5.4138 c. 73: 12 6 4 13 8 12 10 8 N SD: 2.9232 c. M:-5.6971 c. 85: 14 7 5 15 9 14 12 9 N SD: 3.3763 c. M:-6.0839 c. 89: 14 8 5 16 9 15 12 10 N SD: 1.9667 c. M: 3.9869 c. 106: 17 9 6 19 11 18 14 12 N SD: 1.9454 c. M: 5.0045 c. 118: 19 10 7 21 12 20 16 13 N SD: 1.6160 c. M:-3.5998 c. 125: 20 11 7 22 13 21 17 14 N SD: 1.9866 c. M: 3.5554 c. 126: 20 11 7 23 13 21 17 14 N SD: 1.7649 c. M:-3.0329 c. 137: 22 12 7 25 14 23 19 15 N SD: 1.7109 c. M: 3.3779 c. 139: 22 12 8 25 14 24 19 15 N SD: 1.5724 c. M: 2.4484 c. 146: 23 13 8 26 15 25 20 16 N SD: 1.7905 c. M: 3.0989 c. 149: 24 13 8 27 15 25 21 16 N SD: 1.6492 c. M:-2.5987 c. 158: 25 14 9 28 16 27 22 17 N SD: 1.6118 c. M: 2.9948 c. 162: 26 14 9 29 17 27 22 18 N SD: 1.2509 c. M: 2.4887 c. 174: 28 15 10 31 18 29 24 19 N SD: 1.4747 c. M:-3.0153 c. 175: 28 15 10 31 18 30 24 19 N SD: 1.2744 c. M: 2.3004 c. 183: 29 16 10 33 19 31 25 20 N SD: 0.9770 c. M: 1.8462 c. 195: 31 17 11 35 20 33 27 21 N SD: 0.7034 c. M:-1.6138 c. 212: 34 18 12 38 22 36 29 23 N SD: 0.8412 c. M:-1.5889 c. 239: 38 21 13 43 25 40 33 26 N SD: 0.7564 c. M:-1.1999 c. 268: 43 23 15 48 28 45 37 29 N SD: 0.7155 c. M:-1.2561 c. 284: 45 25 16 51 29 48 39 31 N SD: 0.6636 c. M: 1.4223 c. 301: 48 26 17 54 31 51 41 33 N SD: 0.4517 c. M:-0.9119 c. 357: 57 31 20 64 37 60 49 39 N SD: 0.3797 c. M:-0.7920 c. 450: 72 39 25 81 46 76 62 49 N SD: 0.3517 c. M:-0.6122 c. 540: 86 47 30 97 56 91 74 59 N SD: 0.3456 c. M:-0.4932 c. 552: 88 48 31 99 57 93 76 60 N SD: 0.3306 c. M:-0.5415 c. 633: 101 55 35 114 65 107 87 69 N SD: 0.2336 c. M: 0.4166 c. 751: 120 65 42 135 77 127 103 82 N SD: 0.2175 c. M:-0.3227 c. 807: 129 70 45 145 83 136 111 88 N SD: 0.2529 c. M:-0.5229 c. 828: 132 72 46 149 85 140 114 90 N SD: 0.2487 c. M:-0.4098 c. 901: 144 78 50 162 93 152 124 98 N SD: 0.2288 c. M:-0.3229 c. 934: 149 81 52 168 96 158 128 102 N SD: 0.2076 c. M:-0.4253 c. 990: 158 86 55 178 102 167 136 108 N SD: 0.1531 c. M:-0.3697 c. 1108: 177 96 62 199 114 187 152 121 N SD: 0.2015 c. M:-0.3139 c. 1139: 182 98 64 205 117 192 157 124 N SD: 0.1899 c. M: 0.3922 c. 1146: 183 99 64 206 118 193 158 125 N SD: 0.1895 c. M: 0.4066 c. 1185: 189 103 66 213 122 200 163 129 N SD: 0.1680 c. M:-0.3084 c. 1195: 191 103 67 215 123 201 165 130 N SD: 0.2064 c. M: 0.3058 c. 1202: 192 104 67 216 124 203 165 131 N SD: 0.1812 c. M:-0.4210 c. 1228: 196 106 69 221 126 207 169 134 N SD: 0.1604 c. M:-0.2860 c. 1264: 202 109 71 227 130 213 174 138 N SD: 0.1634 c. M: 0.2740 c. 1303: 208 113 73 234 134 220 179 142 N SD: 0.1934 c. M:-0.3530 c. 1322: 211 114 74 238 136 223 182 144 N SD: 0.1846 c. M: 0.3803 c. 1341: 214 116 75 241 138 226 185 146 N SD: 0.1480 c. M: 0.2684 c. 1378: 220 119 77 248 142 232 190 150 N SD: 0.1522 c. M: 0.2378 c. 1411: 225 122 79 254 145 238 194 154 N SD: 0.1580 c. M: 0.2780 c. 1430: 228 124 80 257 147 241 197 156 N SD: 0.1517 c. M: 0.2953 c. 1447: 231 125 81 260 149 244 199 158 N SD: 0.1332 c. M: 0.1921 c. 1459: 233 126 82 262 150 246 201 159 N SD: 0.1224 c. M:-0.2122 c. 1467: 234 127 82 264 151 247 202 160 N SD: 0.1162 c. M: 0.1860 c. 1642: 262 142 92 295 169 277 226 179 N SD: 0.0947 c. M: 0.1456 c. 1698: 271 147 95 305 175 286 234 185 N SD: 0.0904 c. M: 0.1846 c. 1934: 309 167 108 348 199 326 266 211 N SD: 0.0880 c. M:-0.1639 c. 1999: 319 173 112 359 206 337 275 218 N SD: 0.0610 c. M: 0.1265 c. 2129: 340 184 119 383 219 359 293 232 N SD: 0.0581 c. M:-0.0841 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 0.1130 cents 3 x x x 4 x 5 x 6 S SD: 27.5195 cents 4 x x 5 x 6:7 x 8 S SD: 17.2485 cents 5 x 6 x 7 x 8:9:10 S SD: 21.2193 cents 6 x 7 x 8:9:10:11:12 S SD: 14.9266 cents 7:8 x 9:10:11:12:13:14 S SD: 17.9301 cents 8:9 x 10:11:12:13:15:16 SD: 10.9228 cents 9:10 x 11:13:14:15:17:18 SD: 13.6432 cents 10:11:12 x 14:15:17:19:20 SD: 7.9720 cents 13 x 15:16:18:20:22:24:26 SD: 9.6313 cents 14:16 x 17:20:21:24:26:28 SD: 9.7496 cents 15:17:18:19:21:23:25:28:30 SD: 9.0385 cents 16:18:19:20:22:24:27:30:32 S SD: 5.3269 cents 19:21 x 23:27:29:32:35:38 SD: 8.2140 cents 20:22:24:25:28:30:34:37:40 SD: 5.4920 cents 22:25:26:27:31:33:37:41:44 SD: 4.5360 cents 25:28:30:31:35:37:42:46:50 SD: 4.4989 cents 26:29:31:32:36:39:44:48:52 SD: 2.5727 cents 42:47:50:52:59:63:71:78:84 SD: 1.9273 cents 48:54:57:59:67:72:81:89:96 SD: 1.7183 cents 60:67:71:74:84:90:101:111:120 SD: 0.9519 cents 76:85:90:94:106:114:128:141:152 SD: 0.8863 cents 86:96:102:106:120:129:145:159:172 SD: 0.6960 cents 128:143:152:158:179:192:216:237:256 SD: 0.6210 cents 146:163:173:180:204:219:246:271:292 SD: 0.3461 cents 172:192:204:212:240:258:290:319:344 SD: 0.2459 cents 232:259:275:286:324:348:391:430:464 SD: 0.2192 cents 318:355:377:392:444:477:536:590:636 SD: 0.2043 cents 366:409:434:451:511:549:617:679:732 SD: 0.1932 cents 386:431:458:476:539:579:651:716:772 SD: 0.1765 cents 426:476:505:525:595:639:718:790:852 SD: 0.1696 cents 446:498:529:550:623:669:752:827:892 SD: 0.1196 cents 494:552:586:609:690:741:833:916:988 SD: 0.1189 cents