Scala analysis: CD18_04_rast_Tunisia
Istikhbâr, rbâb / Istikhbâr, 'ûd 'Arabî - L'ensemble de Muhammad Ghânim (rast, Tunisia)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 179.101 cents 179.101228 2: 506.352 cents 506.352348 3: 720.285 cents 720.285024 4: 905.655 cents 905.655454 5: 1011.371 cents 1011.370729 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 188.6293 cents 188.6293 1: 179.1012 cents 179.1012 2: 327.2511 cents 327.2511 3: 213.9327 cents 213.9327 4: 185.3704 cents 185.3704 5: 105.7153 cents 105.7153 6: 188.6293 cents 188.6293
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 105.71528 cents 1: 1 179.10123 cents 1: 1 185.37043 cents 1: 1 188.62927 cents 1: 1 213.93268 cents 1: 1 327.25112 cents 2: 1 291.08570 cents 2: 1 294.34455 cents 2: 1 367.73050 cents 2: 1 399.30311 cents 2: 1 506.35235 cents 2: 1 541.18380 cents 3: 1 473.44577 cents 3: 1 479.71498 cents 3: 1 505.01838 cents 3: 1 694.98162 cents 3: 1 720.28502 cents 3: 1 726.55423 cents 4: 1 658.81620 cents 4: 1 693.64765 cents 4: 1 800.69689 cents 4: 1 832.26950 cents 4: 1 905.65545 cents 4: 1 908.91429 cents 5: 1 872.74888 cents 5: 1 986.06732 cents 5: 1 1011.37073 cents 5: 1 1014.62957 cents 5: 1 1020.89877 cents 5: 1 1094.28473 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 179.1 506.4 720.3 905.7 1011.4 1200.0 179.1 : 327.3 541.2 726.6 832.3 1020.9 1200.0 506.4 : 213.9 399.3 505.0 693.6 872.7 1200.0 720.3 : 185.4 291.1 479.7 658.8 986.1 1200.0 905.7 : 105.7 294.3 473.4 800.7 1014.6 1200.0 1011.4: 188.6 367.7 695.0 908.9 1094.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 105.7153 .. 327.2511 cents 221.53584 cents 105.71528 cents 2: 291.0857 .. 541.1838 cents 250.09809 cents -36.16541 cents 3: 473.4458 .. 726.5542 cents 253.10845 cents -67.73802 cents 4: 658.8162 .. 908.9143 cents 250.09809 cents -67.73802 cents 5: 872.7489 .. 1094.2847 cents 221.53585 cents -36.16541 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 105.71528 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 327.25112 cents Average / Smallest step : 1.891874 Largest / Average step : 1.636256 Largest / Smallest step : 3.095590 Median interval of one step : 186.99985 cents, amount: 0 Least squares average step : 211.34216 cents, oct.: 1268.05295 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BFECAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.33397 cents Scale diversity : 1.596064 Lumma stability : 0.176192 Lumma impropriety factor : 0.173172 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 1.33397 cents Number of recognisable fifths : 2, average 694.3146 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 2 1 1 1 1 N T3 SD: 107.3537 c. M: 179.1012 c. 7: 1 2 1 1 1 1 P M ME SD: 25.7108 c. M: 48.5126 c. 12: 2 3 2 2 1 2 P G D3 SD: 13.2279 c. M:-20.8988 c. Mixolydian Hexatonic, P'yongjo: Korea, Yosen: Japan, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan, Rakta Hauns 20: 3 5 4 3 2 3 N SD: 11.5599 c. M: 26.3523 c. 21: 3 6 4 3 2 3 N SD: 12.9206 c. M:-22.5721 c. 25: 4 7 4 4 2 4 N D3 SD: 10.6981 c. M:-21.6477 c. 26: 4 7 5 4 2 4 N SD: 10.6631 c. M:-18.1765 c. 27: 4 7 5 4 3 4 N SD: 11.4728 c. M: 17.4635 c. 28: 4 8 5 4 3 4 N SD: 9.2944 c. M:-17.2007 c. 32: 5 9 5 5 3 5 N D3 SD: 9.2389 c. M:-18.6477 c. 33: 5 9 6 5 3 5 N SD: 4.5075 c. M:-6.9877 c. 40: 6 11 7 6 4 6 N SD: 4.4841 c. M:-8.6293 c. 45: 7 12 8 7 4 7 N SD: 3.2221 c. M:-7.5654 c. 52: 8 14 9 8 5 8 N SD: 4.1695 c. M: 5.6555 c. 62: 9 17 11 10 5 10 N SD: 3.9053 c. M: 4.9191 c. 69: 10 19 12 11 6 11 N SD: 3.9209 c. M: 7.2415 c. 73: 11 20 13 11 7 11 N SD: 3.7815 c. M:-7.8074 c. 78: 12 21 14 12 7 12 N SD: 3.1690 c. M:-5.5142 c. 81: 12 22 15 12 7 13 N SD: 3.1650 c. M:-5.6409 c. 85: 13 23 15 13 8 13 N SD: 2.9934 c. M:-5.0999 c. 87: 13 24 15 14 7 14 N SD: 3.3480 c. M:-4.6894 c. 88: 13 24 16 13 8 14 N SD: 2.8797 c. M: 5.6555 c. 90: 13 25 16 14 8 14 N SD: 2.5273 c. M: 5.7679 c. 95: 14 26 17 15 8 15 N SD: 1.9001 c. M:-3.8182 c. 102: 15 28 18 16 9 16 N SD: 1.5442 c. M: 2.6380 c. 135: 20 37 24 21 12 21 N SD: 1.0650 c. M:-1.9626 c. 147: 22 40 26 23 13 23 N SD: 0.9086 c. M: 1.9177 c. 180: 27 49 32 28 16 28 N SD: 0.9884 c. M:-1.9626 c. 208: 31 57 37 32 18 33 N SD: 0.9755 c. M: 1.7553 c. 215: 32 59 38 33 19 34 N SD: 1.0165 c. M:-1.5546 c. 223: 33 61 40 34 20 35 N SD: 0.9937 c. M: 1.6196 c. 228: 34 62 41 35 20 36 N SD: 0.6666 c. M: 1.0892 c. 268: 40 73 48 41 24 42 N SD: 0.6097 c. M: 1.1778 c. 310: 46 85 55 48 27 49 N SD: 0.6870 c. M: 1.0481 c. 330: 49 90 59 51 29 52 N SD: 0.5753 c. M: 0.9194 c. 343: 51 94 61 53 30 54 N SD: 0.5490 c. M:-0.9363 c. 355: 53 97 63 55 31 56 N SD: 0.4227 c. M:-0.6899 c. 363: 54 99 65 56 32 57 N SD: 0.3800 c. M: 0.5888 c. 375: 56 102 67 58 33 59 N SD: 0.3389 c. M: 0.7523 c. 408: 61 111 73 63 36 64 N SD: 0.3204 c. M: 0.4700 c. 510: 76 139 91 79 45 80 N SD: 0.3125 c. M: 0.4700 c. 583: 87 159 104 90 51 92 N SD: 0.3051 c. M: 0.7361 c. 590: 88 161 105 91 52 93 N SD: 0.3422 c. M: 0.5707 c. 611: 91 167 109 94 54 96 N SD: 0.3145 c. M:-0.5006 c. 616: 92 168 110 95 54 97 N SD: 0.2659 c. M:-0.4942 c. 623: 93 170 111 96 55 98 N SD: 0.1871 c. M: 0.3585 c. 718: 107 196 128 111 63 113 N SD: 0.1678 c. M: 0.2711 c. 758: 113 207 135 117 67 119 N SD: 0.1705 c. M:-0.2440 c. 763: 114 208 136 118 67 120 N SD: 0.1359 c. M:-0.2423 c. 986: 147 269 176 152 87 155 N SD: 0.1388 c. M:-0.2018 c. 998: 149 272 178 154 88 157 N SD: 0.1333 c. M: 0.2446 c. 1031: 154 281 184 159 91 162 N SD: 0.1131 c. M:-0.1805 c. 1133: 169 309 202 175 100 178 N SD: 0.0856 c. M: 0.1074 c. 1488: 222 406 265 230 131 234 N SD: 0.0780 c. M: 0.1237 c. 1521: 227 415 271 235 134 239 N SD: 0.0758 c. M:-0.1565 c. 1749: 261 477 312 270 154 275 N SD: 0.0568 c. M:-0.1266 c. 1896: 283 517 338 293 167 298 N SD: 0.0253 c. M:-0.0407 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 9.1650 cents 3 x 4 x 5 x 6 S SD: 7.6199 cents 4 x 5:6 x 7:8 S SD: 32.1669 cents 5:6:7 x 8:9:10 S SD: 36.2991 cents 6:7:8:9:10:11:12 H SD: 16.6712 cents 8:9:11:12 x 14:16 SD: 13.8325 cents 9:10:12:14:15:16:18 S SD: 8.7542 cents 15:17:20:23:25:27:30 SD: 8.1016 cents 17:19:23:26:29:30:34 SD: 7.1678 cents 18:20:24:27:30:32:36 S SD: 5.5351 cents 20:22:27:30:34:36:40 SD: 5.0451 cents 26:29:35:39:44:47:52 SD: 4.4557 cents 27:30:36:41:46:48:54 SD: 4.0913 cents 29:32:39:44:49:52:58 SD: 1.8738 cents 54:60:72:82:91:97:108 SD: 1.6681 cents 62:69:83:94:105:111:124 SD: 1.5777 cents 64:71:86:97:108:115:128 SD: 1.0217 cents 74:82:99:112:125:133:148 SD: 0.9541 cents 83:92:111:126:140:149:166 SD: 0.7261 cents 112:124:150:170:189:201:224 SD: 0.6358 cents 147:163:197:223:248:264:294 SD: 0.4422 cents 192:213:257:291:324:344:384 SD: 0.4165 cents 194:215:260:294:327:348:388 SD: 0.3822 cents 221:245:296:335:373:396:442 SD: 0.3135 cents 256:284:343:388:432:459:512 SD: 0.1553 cents 339:376:454:514:572:608:678 SD: 0.1274 cents 368:408:493:558:621:660:736 SD: 0.1082 cents 595:660:797:902:1004:1067:1190 SD: 0.0960 cents