Scala analysis: CD11_01_rast_Iraq
Toi qui est beau comme Joseph - Ensemble de Muhammad Al-Qubbbânjî (rast, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 201.922 cents 201.922066 2: 359.663 cents 359.663264 3: 491.013 cents 491.012559 4: 704.384 cents 704.384104 5: 850.968 cents 850.968122 6: 927.240 cents 927.240218 7: 997.843 cents 997.843330 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 202.1567 cents 202.1567 1: 201.9221 cents 201.9221 2: 157.7412 cents 157.7412 3: 131.3493 cents 131.3493 4: 213.3715 cents 213.3715 5: 146.5840 cents 146.5840 6: 76.2721 cents 76.2721 7: 70.6031 cents 70.6031 8: 202.1567 cents 202.1567
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 70.60311 cents 1: 1 76.27210 cents 1: 1 131.34930 cents 1: 1 146.58402 cents 1: 1 157.74120 cents 1: 1 201.92207 cents 1: 1 202.15667 cents 1: 1 213.37154 cents 2: 1 146.87521 cents 2: 1 222.85611 cents 2: 1 272.75978 cents 2: 1 289.09049 cents 2: 1 344.72084 cents 2: 1 359.66326 cents 2: 1 359.95556 cents 2: 1 404.07874 cents 3: 1 293.45923 cents 3: 1 349.03188 cents 3: 1 436.22766 cents 3: 1 474.68185 cents 3: 1 491.01256 cents 3: 1 491.30486 cents 3: 1 502.46204 cents 3: 1 561.81993 cents 4: 1 495.61590 cents 4: 1 506.83077 cents 4: 1 550.95394 cents 4: 1 567.57695 cents 4: 1 632.42305 cents 4: 1 649.04606 cents 4: 1 693.16923 cents 4: 1 704.38410 cents 5: 1 638.18007 cents 5: 1 697.53796 cents 5: 1 708.69514 cents 5: 1 708.98744 cents 5: 1 725.31815 cents 5: 1 763.77234 cents 5: 1 850.96812 cents 5: 1 906.54077 cents 6: 1 795.92126 cents 6: 1 840.04444 cents 6: 1 840.33674 cents 6: 1 855.27916 cents 6: 1 910.90951 cents 6: 1 927.24022 cents 6: 1 977.14389 cents 6: 1 1053.12479 cents 7: 1 986.62845 cents 7: 1 997.84333 cents 7: 1 998.07793 cents 7: 1 1042.25880 cents 7: 1 1053.41598 cents 7: 1 1068.65070 cents 7: 1 1123.72790 cents 7: 1 1129.39689 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 : 201.9 359.7 491.0 704.4 851.0 927.2 997.8 1200.0 201.9 : 157.7 289.1 502.5 649.0 725.3 795.9 998.1 1200.0 359.7 : 131.3 344.7 491.3 567.6 638.2 840.3 1042.3 1200.0 491.0 : 213.4 360.0 436.2 506.8 709.0 910.9 1068.7 1200.0 704.4 : 146.6 222.9 293.5 495.6 697.5 855.3 986.6 1200.0 851.0 : 76.3 146.9 349.0 551.0 708.7 840.0 1053.4 1200.0 927.2 : 70.6 272.8 474.7 632.4 763.8 977.1 1123.7 1200.0 997.8 : 202.2 404.1 561.8 693.2 906.5 1053.1 1129.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 70.6031 .. 213.3715 cents 142.76843 cents 70.60311 cents 2: 146.8752 .. 404.0787 cents 257.20353 cents -66.49634 cents 3: 293.4592 .. 561.8199 cents 268.36071 cents -110.61951 cents 4: 495.6159 .. 704.3841 cents 208.76821 cents -66.20404 cents 5: 638.1801 .. 906.5408 cents 268.36071 cents -66.20404 cents 6: 795.9213 .. 1053.1248 cents 257.20353 cents -110.61951 cents 7: 986.6285 .. 1129.3969 cents 142.76843 cents -66.49634 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 70.60311 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 213.37154 cents Average / Smallest step : 2.124552 Largest / Average step : 1.422477 Largest / Smallest step : 3.022127 Median interval of one step : 152.16261 cents, amount: 0 Least squares average step : 154.97553 cents, oct.: 1239.80423 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : FECHDBAG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.29119 cents Scale diversity : 1.613791 Lumma stability : 0.117672 Lumma impropriety factor : 0.405533 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 : 0.23460 cents Number of recognisable fifths : 5, average 702.5548 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 2 1 0 1 1 N T3 SD: 44.5602 c. M: 59.6633 c. 10: 2 1 1 2 1 1 0 2 N SD: 23.5605 c. M:-38.0779 c. 12: 2 2 1 2 2 0 1 2 N SD: 24.7021 c. M:-49.0319 c. 13: 2 2 1 3 1 1 1 2 N SD: 19.8560 c. M:-34.0774 c. 14: 2 2 2 2 2 1 1 2 P D3 S SD: 20.3983 c. M:-30.7281 c. 17: 3 2 2 3 2 1 1 3 N SD: 6.6481 c. M:-9.8426 c. 36: 6 5 4 6 5 2 2 6 N SD: 7.4243 c. M:-15.6985 c. 41: 7 5 5 7 5 3 2 7 N SD: 5.3177 c. M:-9.3451 c. 48: 8 6 6 8 6 3 3 8 N SD: 5.0950 c. M: 9.6633 c. 49: 8 7 5 9 6 3 3 8 N SD: 5.2303 c. M:-7.6837 c. 53: 9 7 6 9 7 3 3 9 N SD: 4.4599 c. M:-9.4092 c. 54: 9 7 6 10 6 4 3 9 N SD: 4.3970 c. M:-6.7270 c. 61: 10 8 7 11 7 4 4 10 N SD: 4.1142 c. M: 5.5649 c. 66: 11 9 7 12 8 4 4 11 N SD: 2.7179 c. M:-4.7068 c. 83: 14 11 9 15 10 5 5 14 N SD: 1.8749 c. M:-4.0496 c. 100: 17 13 11 18 12 6 6 17 N SD: 2.0446 c. M:-3.6159 c. 107: 18 14 12 19 13 7 6 18 N SD: 1.8089 c. M:-3.6009 c. 113: 19 15 12 20 14 7 7 19 N SD: 2.0584 c. M: 3.4991 c. 114: 19 15 13 20 14 7 7 19 N SD: 1.9280 c. M:-3.7243 c. 123: 21 16 13 22 15 8 7 21 N SD: 2.1475 c. M: 3.2077 c. 124: 21 16 14 22 15 8 7 21 N SD: 1.5705 c. M:-2.5358 c. 137: 23 18 15 24 17 9 8 23 N SD: 1.4949 c. M: 3.6542 c. 154: 26 20 17 27 19 10 9 26 N SD: 1.3365 c. M: 3.0854 c. 179: 30 24 19 32 22 11 11 30 N SD: 1.3559 c. M:-2.3479 c. 184: 31 24 20 33 22 12 11 31 N SD: 1.4029 c. M: 3.1420 c. 186: 31 25 20 33 23 12 11 31 N SD: 1.4334 c. M:-2.1567 c. 189: 32 25 20 34 23 12 11 32 N SD: 1.2439 c. M:-2.2415 c. 190: 32 25 21 34 23 12 11 32 N SD: 1.4071 c. M:-2.9843 c. 196: 33 26 21 35 24 12 12 33 N SD: 1.2044 c. M: 2.7504 c. 203: 34 27 22 36 25 13 12 34 N SD: 0.7824 c. M:-1.1714 c. 220: 37 29 24 39 27 14 13 37 N SD: 0.3188 c. M: 0.7477 c. 237: 40 31 26 42 29 15 14 40 N SD: 0.4252 c. M: 0.6579 c. 303: 51 40 33 54 37 19 18 51 N SD: 0.4218 c. M:-0.7328 c. 457: 77 60 50 81 56 29 27 77 N SD: 0.2884 c. M: 0.6642 c. 523: 88 69 57 93 64 33 31 88 N SD: 0.2585 c. M:-0.5662 c. 564: 95 74 62 100 69 36 33 95 N SD: 0.2449 c. M:-0.4768 c. 630: 106 83 69 112 77 40 37 106 N SD: 0.3257 c. M:-0.4604 c. 647: 109 85 71 115 79 41 38 109 N SD: 0.2778 c. M:-0.4867 c. 677: 114 89 74 120 83 43 40 114 N SD: 0.2741 c. M: 0.6913 c. 731: 123 96 80 130 89 47 43 123 N SD: 0.2722 c. M: 0.6261 c. 743: 125 98 81 132 91 47 44 125 N SD: 0.2334 c. M:-0.4982 c. 760: 128 100 83 135 93 48 45 128 N SD: 0.2083 c. M: 0.3981 c. 784: 132 103 86 139 96 50 46 132 N SD: 0.1993 c. M:-0.3140 c. 814: 137 107 89 145 99 52 48 137 N SD: 0.1796 c. M: 0.3539 c. 867: 146 114 95 154 106 55 51 146 N SD: 0.1817 c. M:-0.3369 c. 1034: 174 136 113 184 126 66 61 174 N SD: 0.1420 c. M: 0.2911 c. 1087: 183 143 119 193 133 69 64 183 N SD: 0.1517 c. M:-0.2478 c. 1104: 186 145 121 196 135 70 65 186 N SD: 0.1512 c. M:-0.2918 c. 1254: 211 165 137 223 153 80 74 211 N SD: 0.1417 c. M: 0.2504 c. 1271: 214 167 139 226 155 81 75 214 N SD: 0.1305 c. M: 0.2994 c. 1307: 220 172 143 232 160 83 77 220 N SD: 0.1519 c. M:-0.2449 c. 1324: 223 174 145 235 162 84 78 223 N SD: 0.1363 c. M:-0.2261 c. 1354: 228 178 148 241 165 86 80 228 N SD: 0.1419 c. M: 0.2092 c. 1378: 232 181 151 245 168 88 81 232 N SD: 0.1246 c. M:-0.1908 c. 1574: 265 207 172 280 192 100 93 265 N SD: 0.1213 c. M:-0.1843 c. 1598: 269 210 175 284 195 102 94 269 N SD: 0.1086 c. M:-0.1690 c. 1681: 283 221 184 299 205 107 99 283 N SD: 0.1137 c. M:-0.1965 c. 1782: 300 234 195 317 218 113 105 300 N SD: 0.1054 c. M:-0.2103 c. 1835: 309 241 201 326 224 117 108 309 N SD: 0.1014 c. M: 0.1779 c. 1901: 320 250 208 338 232 121 112 320 N SD: 0.0972 c. M:-0.1577 c. 1918: 323 252 210 341 234 122 113 323 N SD: 0.0948 c. M:-0.1634 c. 2138: 360 281 234 380 261 136 126 360 N SD: 0.0850 c. M:-0.1359 c. 2358: 397 310 258 419 288 150 139 397 N SD: 0.0877 c. M:-0.1332 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 1.2146 cents 3 x x 4 x 5 x x 6 S SD: 11.3744 cents 4 x 5 x 6 x x 7:8 S SD: 9.8684 cents 5 x 6:7 x 8 x 9:10 S SD: 21.9911 cents 6:7 x 8:9:10 x 11:12 S SD: 14.9470 cents 7:8 x 9 x 11:12 x 14 SD: 18.6626 cents 8:9:10:11:12:13 x 14:16 S SD: 10.4079 cents 9:10:11:12:14:15 x 16:18 S SD: 10.4615 cents 10:11:12:13:15:16:17:18:20 SD: 10.0894 cents 12:13:15:16:18:20 x 21:24 SD: 11.7245 cents 13:15:16:17:20:21:22:23:26 SD: 9.1190 cents 14:16:17:19:21:23:24:25:28 SD: 6.8201 cents 16:18:20:21:24:26:27:28:32 S SD: 6.2965 cents 17:19:21:23:26:28:29:30:34 SD: 6.2831 cents 18:20:22:24:27:29:31:32:36 SD: 4.7146 cents 22:25:27:29:33:36:38:39:44 SD: 3.9074 cents 30:34:37:40:45:49:51:53:60 SD: 2.8515 cents 39:44:48:52:59:64:67:69:78 SD: 2.7539 cents 40:45:49:53:60:65:68:71:80 SD: 2.1528 cents 48:54:59:64:72:78:82:85:96 SD: 1.9648 cents 49:55:60:65:74:80:84:87:98 SD: 1.9010 cents 55:62:68:73:83:90:94:98:110 SD: 1.5898 cents 58:65:71:77:87:95:99:103:116 SD: 1.5066 cents 64:72:79:85:96:105:109:114:128 SD: 1.2699 cents 73:82:90:97:110:119:125:130:146 SD: 1.1223 cents 82:92:101:109:123:134:140:146:164 SD: 0.5621 cents 113:127:139:150:170:185:193:201:226 SD: 0.4994 cents 177:199:218:235:266:289:302:315:354 SD: 0.4445 cents 186:209:229:247:279:304:318:331:372 SD: 0.3484 cents 195:219:240:259:293:319:333:347:390 SD: 0.2268 cents 299:336:368:397:449:489:511:532:598 SD: 0.1366 cents 476:535:586:632:715:778:813:847:952 SD: 0.1043 cents