Scala analysis: CD13_15_Syria
Taqsîm, qânûn - Fawzî al-Qaltaqjî (hicazkar, saba, Syria)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 113.588 cents 113.587956 2: 287.359 cents 287.359273 3: 411.416 cents 411.415939 4: 527.901 cents 527.901457 5: 826.260 cents 826.260492 6: 889.730 cents 889.730479 7: 1110.593 cents 1110.592980 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 89.4070 cents 89.4070 1: 113.5880 cents 113.5880 2: 173.7713 cents 173.7713 3: 124.0567 cents 124.0567 4: 116.4855 cents 116.4855 5: 298.3590 cents 298.3590 6: 63.4700 cents 63.4700 7: 220.8625 cents 220.8625 8: 89.4070 cents 89.4070
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 63.46999 cents 1: 1 89.40702 cents 1: 1 113.58796 cents 1: 1 116.48552 cents 1: 1 124.05667 cents 1: 1 173.77132 cents 1: 1 220.86250 cents 1: 1 298.35903 cents 2: 1 202.99498 cents 2: 1 240.54218 cents 2: 1 284.33249 cents 2: 1 287.35927 cents 2: 1 297.82798 cents 2: 1 310.26952 cents 2: 1 361.82902 cents 2: 1 414.84455 cents 3: 1 373.73951 cents 3: 1 376.76629 cents 3: 1 411.41594 cents 3: 1 414.31350 cents 3: 1 423.85748 cents 3: 1 478.31454 cents 3: 1 538.90122 cents 3: 1 582.69152 cents 4: 1 487.32746 cents 4: 1 500.82296 cents 4: 1 527.90146 cents 4: 1 597.62879 cents 4: 1 602.37121 cents 4: 1 672.09854 cents 4: 1 699.17704 cents 4: 1 712.67254 cents 5: 1 617.30848 cents 5: 1 661.09878 cents 5: 1 721.68546 cents 5: 1 776.14252 cents 5: 1 785.68650 cents 5: 1 788.58406 cents 5: 1 823.23371 cents 5: 1 826.26049 cents 6: 1 785.15545 cents 6: 1 838.17098 cents 6: 1 889.73048 cents 6: 1 902.17202 cents 6: 1 912.64073 cents 6: 1 915.66751 cents 6: 1 959.45782 cents 6: 1 997.00502 cents 7: 1 901.64097 cents 7: 1 979.13750 cents 7: 1 1026.22868 cents 7: 1 1075.94333 cents 7: 1 1083.51448 cents 7: 1 1086.41204 cents 7: 1 1110.59298 cents 7: 1 1136.53001 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 : 113.6 287.4 411.4 527.9 826.3 889.7 1110.6 1200.0 113.6 : 173.8 297.8 414.3 712.7 776.1 997.0 1086.4 1200.0 287.4 : 124.1 240.5 538.9 602.4 823.2 912.6 1026.2 1200.0 411.4 : 116.5 414.8 478.3 699.2 788.6 902.2 1075.9 1200.0 527.9 : 298.4 361.8 582.7 672.1 785.7 959.5 1083.5 1200.0 826.3 : 63.5 284.3 373.7 487.3 661.1 785.2 901.6 1200.0 889.7 : 220.9 310.3 423.9 597.6 721.7 838.2 1136.5 1200.0 1110.6: 89.4 203.0 376.8 500.8 617.3 915.7 979.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 63.4700 .. 298.3590 cents 234.88905 cents 63.46999 cents 2: 202.9950 .. 414.8446 cents 211.84958 cents -95.36406 cents 3: 373.7395 .. 582.6915 cents 208.95201 cents -41.10505 cents 4: 487.3275 .. 712.6725 cents 225.34507 cents -95.36406 cents 5: 617.3085 .. 826.2605 cents 208.95201 cents -95.36406 cents 6: 785.1554 .. 997.0050 cents 211.84958 cents -41.10505 cents 7: 901.6410 .. 1136.5300 cents 234.88905 cents -95.36406 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 63.46999 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 298.35903 cents Average / Smallest step : 2.363322 Largest / Average step : 1.989060 Largest / Smallest step : 4.700789 Median interval of one step : 120.27109 cents, amount: 0 Least squares average step : 151.36273 cents, oct.: 1210.90182 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : CFEDHAGB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.53105 cents Scale diversity : 1.679725 Lumma stability : 0.105783 Lumma impropriety factor : 0.386389 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 : 0.53105 cents Number of recognisable fifths : 2, average 705.9248 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 0 1 1 1 2 0 2 1 N T3 SD: 99.5388 c. M: 139.7305 c. 9: 1 1 1 1 2 1 1 1 P M ME SD: 26.2160 c. M: 43.9263 c. 11: 1 2 1 1 3 0 2 1 N SD: 25.9315 c. M:-46.4668 c. 12: 1 2 1 1 3 1 2 1 N T3 SD: 16.4337 c. M: 27.9015 c. 20: 2 3 2 2 5 1 4 1 N SD: 14.0533 c. M:-29.4070 c. 23: 2 4 2 2 6 1 4 2 N SD: 11.8442 c. M:-25.6842 c. 26: 2 4 3 2 7 1 5 2 N SD: 12.1382 c. M: 21.2803 c. 27: 3 3 3 3 7 1 5 2 N SD: 12.7942 c. M: 20.6926 c. 28: 3 4 3 2 7 2 5 2 N SD: 11.8664 c. M:-17.1555 c. 29: 3 4 3 3 7 2 5 2 N SD: 9.3121 c. M:-20.6143 c. 30: 3 4 3 3 8 1 6 2 N SD: 9.0828 c. M:-13.7395 c. 32: 3 5 3 3 8 2 6 2 N SD: 7.7876 c. M:-14.4070 c. 35: 3 5 4 3 9 2 6 3 N SD: 9.1298 c. M: 13.6157 c. 36: 3 6 3 4 9 2 6 3 N SD: 9.8231 c. M: 13.5880 c. 38: 4 5 4 4 9 2 7 3 N SD: 6.5061 c. M:-12.7278 c. 39: 4 5 4 4 10 2 7 3 N SD: 6.9636 c. M: 11.4159 c. 41: 4 6 4 4 10 2 8 3 N SD: 5.3498 c. M: 11.6817 c. 43: 4 6 5 4 11 2 8 3 N SD: 6.0490 c. M:-10.9488 c. 50: 5 7 5 5 12 3 9 4 N SD: 5.0614 c. M: 10.2605 c. 54: 5 8 6 5 13 3 10 4 N SD: 4.6373 c. M:-10.8063 c. 55: 5 8 6 5 14 3 10 4 N SD: 3.4968 c. M:-4.8150 c. 64: 6 9 7 6 16 3 12 5 N SD: 4.1903 c. M: 8.4805 c. 70: 7 10 7 7 17 4 13 5 N SD: 3.5039 c. M:-6.4120 c. 84: 8 12 9 8 21 4 16 6 N SD: 2.4234 c. M: 4.0162 c. 93: 9 13 10 9 23 5 17 7 N SD: 1.7143 c. M: 3.4883 c. 96: 9 14 10 9 24 5 18 7 N SD: 1.6201 c. M: 2.9015 c. 125: 12 18 13 12 31 7 23 9 N SD: 1.7261 c. M:-3.0695 c. 138: 13 20 14 14 34 7 26 10 N SD: 1.8710 c. M: 2.7740 c. 146: 14 21 15 14 37 7 27 11 N SD: 1.8127 c. M:-3.8765 c. 147: 14 21 15 15 36 8 27 11 N SD: 1.7469 c. M: 3.2527 c. 148: 14 21 16 14 37 8 27 11 N SD: 1.7052 c. M: 3.5755 c. 163: 15 24 17 16 40 9 30 12 N SD: 1.6070 c. M: 3.1585 c. 166: 16 24 17 16 41 9 31 12 N SD: 1.5835 c. M:-2.6600 c. 170: 16 25 17 17 42 9 31 13 N SD: 1.4462 c. M: 2.3577 c. 187: 18 27 19 18 47 10 34 14 N SD: 1.4455 c. M:-2.2481 c. 189: 18 27 20 18 47 10 35 14 N SD: 0.9619 c. M: 1.6450 c. 225: 21 33 23 22 56 12 41 17 N SD: 0.8755 c. M: 1.5880 c. 243: 23 35 25 24 60 13 45 18 N SD: 0.9311 c. M: 1.5691 c. 254: 24 37 26 25 63 13 47 19 N SD: 0.8036 c. M: 1.5415 c. 266: 25 39 27 26 66 14 49 20 N SD: 0.8274 c. M:-1.3625 c. 283: 27 41 29 28 70 15 52 21 N SD: 0.9585 c. M:-2.1339 c. 286: 27 41 30 28 71 15 53 21 N SD: 0.9178 c. M: 2.0446 c. 295: 28 43 30 29 73 16 54 22 N SD: 0.7801 c. M:-1.4543 c. 298: 28 43 31 29 74 16 55 22 N SD: 0.7664 c. M: 1.4532 c. 309: 29 45 32 30 77 16 57 23 N SD: 0.5103 c. M: 0.9666 c. 359: 34 52 37 35 89 19 66 27 N SD: 0.4486 c. M: 0.8437 c. 379: 36 55 39 37 94 20 70 28 N SD: 0.5127 c. M:-0.8584 c. 391: 37 57 40 38 97 21 72 29 N SD: 0.5036 c. M:-1.1318 c. 402: 38 58 42 39 100 21 74 30 N SD: 0.4408 c. M: 0.7921 c. 414: 39 60 43 40 103 22 76 31 N SD: 0.3298 c. M: 0.5445 c. 630: 60 91 65 61 157 33 116 47 N SD: 0.3270 c. M:-0.6978 c. 657: 62 95 68 64 163 35 121 49 N SD: 0.3922 c. M: 0.6897 c. 668: 63 97 69 65 166 35 123 50 N SD: 0.2902 c. M: 0.5089 c. 697: 66 101 72 68 173 37 128 52 N SD: 0.2790 c. M:-0.6495 c. 739: 70 107 76 72 184 39 136 55 N SD: 0.2441 c. M: 0.5905 c. 761: 72 110 79 74 189 40 140 57 N SD: 0.2849 c. M: 0.4747 c. 773: 73 112 80 75 192 41 142 58 N SD: 0.2955 c. M: 0.6318 c. 793: 75 115 82 77 197 42 146 59 N SD: 0.1304 c. M:-0.2196 c. 1207: 114 175 125 117 300 64 222 90 N SD: 0.1198 c. M: 0.2491 c. 1500: 142 217 155 146 373 79 276 112 N SD: 0.1395 c. M: 0.2159 c. 1512: 143 219 156 147 376 80 278 113 N SD: 0.1596 c. M: 0.3048 c. 1519: 144 220 157 147 378 80 280 113 N SD: 0.1564 c. M:-0.1983 c. 1528: 145 221 158 148 380 81 281 114 N SD: 0.1354 c. M:-0.2864 c. 1532: 145 222 158 149 381 81 282 114 N SD: 0.1006 c. M: 0.1888 c. 1625: 154 235 168 158 404 86 299 121 N SD: 0.0925 c. M:-0.1351 c. 1721: 163 249 178 167 428 91 317 128 N SD: 0.0723 c. M:-0.1566 c. 1837: 174 266 190 178 457 97 338 137 N SD: 0.0776 c. M:-0.1246 c. 1946: 184 282 201 189 484 103 358 145 N SD: 0.0722 c. M: 0.1244 c. 2080: 197 301 215 202 517 110 383 155 N SD: 0.0680 c. M: 0.1151 c. 2389: 226 346 247 232 594 126 440 178 N SD: 0.0631 c. M: 0.1533 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: 62.1527 cents 3 x x x 4 x 5 x 6 S SD: 10.1120 cents 4 x x 5 x 6:7 x 8 S SD: 37.3648 cents 5 x 6 x 7:8 x x 10 S SD: 15.6930 cents 6 x 7 x 8 x 10:11:12 S SD: 14.2677 cents 7 x 8:9:10:11:12:13:14 S SD: 18.6560 cents 8 x 9:10:11:13 x 15:16 SD: 15.6739 cents 9:10:11 x 12 x 15:17:18 SD: 16.1184 cents 10:11:12:13:14:16:17:19:20 SD: 12.0233 cents 11:12:13:14:15:18 x 21:22 S SD: 6.8020 cents 14:15:17:18:19 x 23:27:28 SD: 9.6785 cents 15:16:18:19:20:24:25:28:30 SD: 6.6009 cents 16:17:19:20:22:26:27:30:32 SD: 6.0186 cents 18:19:21:23:24:29:30:34:36 SD: 5.5882 cents 23:25:27:29:31:37:38:44:46 SD: 5.3814 cents 26:28:31:33:35:42:43:49:52 SD: 4.3971 cents 27:29:32:34:37:44:45:51:54 SD: 4.1414 cents 28:30:33:36:38:45:47:53:56 SD: 3.3319 cents 31:33:37:39:42:50:52:59:62 SD: 3.1499 cents 33:35:39:42:45:53:55:63:66 SD: 2.5115 cents 44:47:52:56:60:71:74:84:88 SD: 2.2078 cents 45:48:53:57:61:73:75:85:90 SD: 2.0697 cents 56:60:66:71:76:90:94:106:112 SD: 1.5340 cents 59:63:70:75:80:95:99:112:118 SD: 1.4476 cents 70:75:83:89:95:113:117:133:140 SD: 1.3639 cents 72:77:85:91:98:116:120:137:144 SD: 1.3452 cents 78:83:92:99:106:126:130:148:156 SD: 1.2377 cents 88:94:104:112:119:142:147:167:176 SD: 1.1123 cents 89:95:105:113:121:143:149:169:178 SD: 0.9202 cents 100:107:118:127:136:161:167:190:200 SD: 0.8451 cents 101:108:119:128:137:163:169:192:202 SD: 0.6764 cents 116:124:137:147:157:187:194:220:232 SD: 0.6658 cents 134:143:158:170:182:216:224:255:268 SD: 0.5825 cents 149:159:176:189:202:240:249:283:298 SD: 0.2765 cents 250:267:295:317:339:403:418:475:500 SD: 0.1703 cents 399:426:471:506:541:643:667:758:798 SD: 0.1216 cents