Scala analysis: CD18_01_Tunisia
Istikhbâr, rbâb / Istikhbâr, 'ûd 'Arabî - L'ensemble de Muhammad Ghânim (rahawi, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 109.987 cents 109.986594 2: 301.711 cents 301.710943 3: 481.246 cents 481.245757 4: 604.878 cents 604.878046 5: 822.210 cents 822.210234 6: 1022.684 cents 1022.684201 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 177.3158 cents 177.3158 1: 109.9866 cents 109.9866 2: 191.7243 cents 191.7243 3: 179.5348 cents 179.5348 4: 123.6323 cents 123.6323 5: 217.3322 cents 217.3322 6: 200.4740 cents 200.4740 7: 177.3158 cents 177.3158
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 109.98659 cents 1: 1 123.63229 cents 1: 1 177.31580 cents 1: 1 179.53481 cents 1: 1 191.72435 cents 1: 1 200.47397 cents 1: 1 217.33219 cents 2: 1 287.30239 cents 2: 1 301.71094 cents 2: 1 303.16710 cents 2: 1 340.96448 cents 2: 1 371.25916 cents 2: 1 377.78977 cents 2: 1 417.80615 cents 3: 1 479.02674 cents 3: 1 481.24576 cents 3: 1 487.77636 cents 3: 1 494.89145 cents 3: 1 520.49929 cents 3: 1 541.43844 cents 3: 1 595.12195 cents 4: 1 604.87805 cents 4: 1 658.56156 cents 4: 1 679.50071 cents 4: 1 705.10855 cents 4: 1 712.22364 cents 4: 1 718.75424 cents 4: 1 720.97326 cents 5: 1 782.19385 cents 5: 1 822.21023 cents 5: 1 828.74084 cents 5: 1 859.03552 cents 5: 1 896.83290 cents 5: 1 898.28906 cents 5: 1 912.69761 cents 6: 1 982.66781 cents 6: 1 999.52603 cents 6: 1 1008.27565 cents 6: 1 1020.46519 cents 6: 1 1022.68420 cents 6: 1 1076.36771 cents 6: 1 1090.01341 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 : 110.0 301.7 481.2 604.9 822.2 1022.7 1200.0 110.0 : 191.7 371.3 494.9 712.2 912.7 1090.0 1200.0 301.7 : 179.5 303.2 520.5 721.0 898.3 1008.3 1200.0 481.2 : 123.6 341.0 541.4 718.8 828.7 1020.5 1200.0 604.9 : 217.3 417.8 595.1 705.1 896.8 1076.4 1200.0 822.2 : 200.5 377.8 487.8 679.5 859.0 982.7 1200.0 1022.7: 177.3 287.3 479.0 658.6 782.2 999.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 109.9866 .. 217.3322 cents 107.34559 cents 109.98659 cents 2: 287.3024 .. 417.8062 cents 130.50376 cents 69.97021 cents 3: 479.0267 .. 595.1220 cents 116.09521 cents 61.22059 cents 4: 604.8780 .. 720.9733 cents 116.09521 cents 9.75609 cents 5: 782.1938 .. 912.6976 cents 130.50376 cents 61.22059 cents 6: 982.6678 .. 1090.0134 cents 107.34559 cents 69.97021 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 109.98659 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 217.33219 cents Average / Smallest step : 1.558632 Largest / Average step : 1.267771 Largest / Smallest step : 1.975988 Median interval of one step : 179.53481 cents, amount: 1 Least squares average step : 165.88439 cents, oct.: 1161.19072 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : AEDBGFC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 9.75609 cents Scale diversity : 1.589771 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.410092 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 : 1.45616 cents Number of recognisable fifths : 3, average 712.0288 cents Number of appreciable fifths : 2, average 708.6661 cents Best fifths 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: 45.2757 c. M:-80.8362 c. Lebeng 8: 1 1 1 1 1 2 1 P M ME S SD: 34.9787 c. M: 72.2102 c. 10: 1 2 1 1 2 2 1 P D3 S SD: 31.9034 c. M:-58.2891 c. 12: 1 2 2 1 2 2 2 P M ME S SD: 14.5702 c. M: 22.6842 c. G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish 20: 2 3 3 2 4 3 3 P T3 SD: 8.0376 c. M:-17.7898 c. 31: 3 5 4 4 5 5 5 SP SD: 11.5929 c. M: 16.7296 c. 32: 3 5 5 3 6 5 5 P SD: 5.1222 c. M: 10.1842 c. 45: 4 7 7 5 8 7 7 SP SD: 6.1126 c. M: 9.3509 c. 47: 4 8 7 5 8 8 7 SP SD: 5.2047 c. M:-7.8879 c. 48: 4 8 7 5 9 8 7 P SD: 5.0513 c. M: 9.9866 c. 53: 5 8 8 6 9 9 8 SP SD: 5.4084 c. M: 7.3713 c. 54: 5 9 8 5 10 9 8 P SD: 4.9577 c. M:-9.4002 c. 55: 5 9 8 6 10 9 8 SP SD: 3.9236 c. M:-6.8807 c. 63: 6 10 9 7 11 11 9 SP SD: 4.1333 c. M:-5.8872 c. 67: 6 11 10 7 12 11 10 SP SD: 2.4523 c. M:-4.0772 c. 87: 8 14 13 9 16 14 13 SP SD: 2.4608 c. M:-5.3760 c. 88: 8 14 13 9 16 15 13 P SD: 2.9165 c. M: 4.8780 c. 89: 8 14 14 9 16 15 13 SP SD: 2.8084 c. M: 5.0817 c. 95: 9 15 14 10 17 16 14 SP SD: 1.7300 c. M:-3.6976 c. 107: 10 17 16 11 19 18 16 SP SD: 1.8628 c. M: 3.5186 c. 123: 11 20 18 13 22 21 18 SP SD: 2.0024 c. M: 3.1970 c. 127: 12 20 19 13 23 21 19 SP SD: 1.5737 c. M:-3.3992 c. 143: 13 23 21 15 26 24 21 SP SD: 1.2642 c. M: 2.9241 c. 155: 14 25 23 16 28 26 23 SP SD: 1.0813 c. M: 1.5995 c. 175: 16 28 26 18 32 29 26 SP SD: 0.8524 c. M: 1.4495 c. 210: 19 34 31 22 38 35 31 SP SD: 0.9271 c. M: 1.4152 c. 242: 22 39 36 25 44 40 36 SP SD: 0.7330 c. M: 1.1966 c. 270: 25 43 40 28 49 45 40 SP SD: 0.7050 c. M: 1.2458 c. 317: 29 51 47 33 57 53 47 SP SD: 0.6691 c. M:-1.1282 c. 327: 30 52 49 34 59 55 48 SP SD: 0.6209 c. M:-1.1690 c. 337: 31 54 50 35 61 56 50 SP SD: 0.5635 c. M:-0.9597 c. 339: 31 54 51 35 61 57 50 SP SD: 0.5358 c. M: 0.9713 c. 347: 32 55 52 36 63 58 51 SP SD: 0.6747 c. M:-0.9469 c. 359: 33 57 54 37 65 60 53 SP SD: 0.3636 c. M: 0.8753 c. 401: 37 64 60 41 73 67 59 SP SD: 0.5844 c. M:-0.7572 c. 406: 37 65 61 42 73 68 60 SP SD: 0.5452 c. M:-1.0333 c. 413: 38 66 62 42 75 69 61 SP SD: 0.5132 c. M:-1.0787 c. 426: 39 68 64 44 77 71 63 SP SD: 0.3788 c. M:-0.7558 c. 466: 43 74 70 48 84 78 69 SP SD: 0.4771 c. M: 0.7510 c. 482: 44 77 72 50 87 81 71 SP SD: 0.4913 c. M: 0.7478 c. 502: 46 80 75 52 91 84 74 SP SD: 0.3882 c. M: 0.7677 c. 514: 47 82 77 53 93 86 76 SP SD: 0.3148 c. M: 0.5436 c. 556: 51 89 83 57 101 93 82 SP SD: 0.3041 c. M: 0.5615 c. 569: 52 91 85 59 103 95 84 SP SD: 0.2789 c. M: 0.4022 c. 581: 53 93 87 60 105 97 86 SP SD: 0.2688 c. M: 0.5202 c. 601: 55 96 90 62 109 100 89 SP SD: 0.2436 c. M:-0.4187 c. 676: 62 108 101 70 122 113 100 SP SD: 0.2336 c. M:-0.4474 c. 696: 64 111 104 72 126 116 103 SP SD: 0.2313 c. M:-0.3582 c. 851: 78 136 127 88 154 142 126 SP SD: 0.2096 c. M: 0.3997 c. 895: 82 143 134 92 162 150 132 SP SD: 0.1903 c. M:-0.3326 c. 915: 84 146 137 94 166 153 135 SP SD: 0.1699 c. M: 0.2879 c. 962: 88 154 144 99 174 161 142 SP SD: 0.1738 c. M:-0.2511 c. 982: 90 157 147 101 178 164 145 SP SD: 0.1293 c. M:-0.2206 c. 1137: 104 182 170 117 206 190 168 SP SD: 0.1121 c. M: 0.2241 c. 1232: 113 197 184 127 223 206 182 SP SD: 0.1119 c. M:-0.2371 c. 1264: 116 202 189 130 229 211 187 SP SD: 0.1358 c. M: 0.2158 c. 1321: 121 211 198 136 239 221 195 SP SD: 0.1305 c. M:-0.2077 c. 1341: 123 214 201 138 243 224 198 SP SD: 0.1243 c. M:-0.1860 c. 1484: 136 237 222 153 269 248 219 SP SD: 0.1196 c. M:-0.2269 c. 1496: 137 239 224 154 271 250 221 SP SD: 0.0632 c. M: 0.1067 c. 1833: 168 293 274 189 332 306 271 SP SD: 0.0604 c. M: 0.0983 c. 2192: 201 350 328 226 397 366 324 SP SD: 0.0496 c. M: 0.0686 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: 48.5385 cents 3 x x 4 x 5 x 6 S SD: 21.4596 cents 4 x 5 x 6 x 7:8 S SD: 34.8947 cents 5 x 6 x 7:8:9:10 S SD: 5.6314 cents 6 x 7:8:9:10:11:12 S SD: 20.7459 cents 7 x 8:9:10:11:13:14 SD: 17.6742 cents 8:9:10 x 11:13:14:16 SD: 24.7679 cents 9:10:11:12:13:14:16:18 S SD: 16.0433 cents 10:11:12:13:14:16:18:20 S SD: 9.6368 cents 12:13:14:16:17:19:22:24 SD: 8.7351 cents 15:16:18:20:21:24:27:30 S SD: 4.6906 cents 26:28:31:34:37:42:47:52 SD: 3.8630 cents 31:33:37:41:44:50:56:62 SD: 1.1437 cents 79:84:94:104:112:127:143:158 SD: 1.1429 cents 91:97:108:120:129:146:164:182 SD: 1.0733 cents 94:100:112:124:133:151:170:188 SD: 0.9286 cents 110:117:131:145:156:177:199:220 SD: 0.8388 cents 122:130:145:161:173:196:220:244 SD: 0.5394 cents 153:163:182:202:217:246:276:306 SD: 0.2659 cents 184:196:219:243:261:296:332:368 SD: 0.2107 cents 411:438:489:543:583:661:742:822 SD: 0.1995 cents 431:459:513:569:611:693:778:862 SD: 0.1874 cents 456:486:543:602:647:733:823:912 SD: 0.1841 cents 462:492:550:610:655:743:834:924 SD: 0.1820 cents 474:505:564:626:672:762:856:948 SD: 0.1762 cents 505:538:601:667:716:812:912:1010 SD: 0.1512 cents