Scala analysis: CD13_13_Iraq
Taqsîm mesuré, Jôza, Dumbakk - Ensemble de Muhammad Al-Qubbbânjî (jabburi, awshar, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 84.087 cents 84.086700 2: 195.931 cents 195.930966 3: 270.734 cents 270.734057 4: 365.780 cents 365.780181 5: 520.191 cents 520.191024 6: 600.928 cents 600.927657 7: 752.045 cents 752.045167 8: 878.810 cents 878.809851 9: 1101.244 cents 1101.244373 10: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 98.7556 cents 98.7556 1: 84.0867 cents 84.0867 2: 111.8443 cents 111.8443 3: 74.8031 cents 74.8031 4: 95.0461 cents 95.0461 5: 154.4108 cents 154.4108 6: 80.7366 cents 80.7366 7: 151.1175 cents 151.1175 8: 126.7647 cents 126.7647 9: 222.4345 cents 222.4345 10: 98.7556 cents 98.7556
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 74.80309 cents 1: 1 80.73663 cents 1: 1 84.08670 cents 1: 1 95.04612 cents 1: 1 98.75563 cents 1: 1 111.84427 cents 1: 1 126.76468 cents 1: 1 151.11751 cents 1: 1 154.41084 cents 1: 1 222.43452 cents 2: 1 169.84921 cents 2: 1 182.84233 cents 2: 1 186.64736 cents 2: 1 195.93097 cents 2: 1 231.85414 cents 2: 1 235.14748 cents 2: 1 249.45697 cents 2: 1 277.88219 cents 2: 1 321.19015 cents 2: 1 349.19921 cents 3: 1 270.73406 cents 3: 1 281.69348 cents 3: 1 294.68659 cents 3: 1 324.26006 cents 3: 1 330.19360 cents 3: 1 358.61883 cents 3: 1 386.26499 cents 3: 1 405.27685 cents 3: 1 447.95483 cents 3: 1 500.31672 cents 4: 1 365.78018 cents 4: 1 369.48968 cents 4: 1 404.99669 cents 4: 1 436.10432 cents 4: 1 481.31111 cents 4: 1 513.02967 cents 4: 1 517.12112 cents 4: 1 532.04153 cents 4: 1 581.05335 cents 4: 1 599.07234 cents 5: 1 464.53581 cents 5: 1 516.84096 cents 5: 1 520.19102 cents 5: 1 556.11420 cents 5: 1 591.92421 cents 5: 1 608.07579 cents 5: 1 643.88580 cents 5: 1 679.80898 cents 5: 1 683.15904 cents 5: 1 735.46419 cents 6: 1 600.92766 cents 6: 1 618.94665 cents 6: 1 667.95847 cents 6: 1 682.87888 cents 6: 1 686.97033 cents 6: 1 718.68889 cents 6: 1 763.89568 cents 6: 1 795.00331 cents 6: 1 830.51032 cents 6: 1 834.21982 cents 7: 1 699.68328 cents 7: 1 752.04517 cents 7: 1 794.72315 cents 7: 1 813.73501 cents 7: 1 841.38117 cents 7: 1 869.80640 cents 7: 1 875.73994 cents 7: 1 905.31341 cents 7: 1 918.30652 cents 7: 1 929.26594 cents 8: 1 850.80079 cents 8: 1 878.80985 cents 8: 1 922.11781 cents 8: 1 950.54303 cents 8: 1 964.85252 cents 8: 1 968.14586 cents 8: 1 1004.06903 cents 8: 1 1013.35264 cents 8: 1 1017.15767 cents 8: 1 1030.15079 cents 9: 1 977.56548 cents 9: 1 1045.58916 cents 9: 1 1048.88249 cents 9: 1 1073.23532 cents 9: 1 1088.15573 cents 9: 1 1101.24437 cents 9: 1 1104.95388 cents 9: 1 1115.91330 cents 9: 1 1119.26337 cents 9: 1 1125.19691 cents Highest number of different intervals for one interval class: 10 Average number of different intervals per interval class: 10.00000 = 10
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 84.1 195.9 270.7 365.8 520.2 600.9 752.0 878.8 1101.2 1200.0 84.1 : 111.8 186.6 281.7 436.1 516.8 668.0 794.7 1017.2 1115.9 1200.0 195.9 : 74.8 169.8 324.3 405.0 556.1 682.9 905.3 1004.1 1088.2 1200.0 270.7 : 95.0 249.5 330.2 481.3 608.1 830.5 929.3 1013.4 1125.2 1200.0 365.8 : 154.4 235.1 386.3 513.0 735.5 834.2 918.3 1030.2 1105.0 1200.0 520.2 : 80.7 231.9 358.6 581.1 679.8 763.9 875.7 950.5 1045.6 1200.0 600.9 : 151.1 277.9 500.3 599.1 683.2 795.0 869.8 964.9 1119.3 1200.0 752.0 : 126.8 349.2 448.0 532.0 643.9 718.7 813.7 968.1 1048.9 1200.0 878.8 : 222.4 321.2 405.3 517.1 591.9 687.0 841.4 922.1 1073.2 1200.0 1101.2: 98.8 182.8 294.7 369.5 464.5 618.9 699.7 850.8 977.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 74.8031 .. 222.4345 cents 147.63143 cents 74.80309 cents 2: 169.8492 .. 349.1992 cents 179.34999 cents -52.58531 cents 3: 270.7341 .. 500.3167 cents 229.58266 cents -78.46515 cents 4: 365.7802 .. 599.0723 cents 233.29216 cents -134.53653 cents 5: 464.5358 .. 735.4642 cents 270.92838 cents -134.53653 cents 6: 600.9277 .. 834.2198 cents 233.29216 cents -134.53653 cents 7: 699.6833 .. 929.2659 cents 229.58266 cents -134.53653 cents 8: 850.8008 .. 1030.1508 cents 179.34999 cents -78.46515 cents 9: 977.5655 .. 1125.1969 cents 147.63143 cents -52.58531 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 74.80309 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 222.43452 cents Average / Smallest step : 1.604212 Largest / Average step : 1.853621 Largest / Smallest step : 2.973601 Median interval of one step : 105.29995 cents, amount: 0 Least squares average step : 112.11373 cents, oct.: 1121.13732 cents Scale is not proper Step pattern alph. order: ABCDEFGHIJ Step pattern size order : CFADIBHGJE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.28016 cents Scale diversity : 1.693674 Lumma stability : 0.124672 Lumma impropriety factor : 0.607238 Rothenberg efficiency : 0.200000 redundancy: 0.800000 Efficiency x scale size : 2.000000 Number of different interval sizes : 90 = 10.00000 / class Number of one step interval sizes : 10 Highest interval variety : 10 Mean interval variety : 10.00000 = 10 Median interval variety : 10 Lowest interval variety : 10 Smallest interval difference : 0.28016 cents Number of recognisable fifths : 3, average 701.7808 cents Number of appreciable fifths : 1, average 699.6833 cents Formal octave complements present : 1 = 10.0000% -- Rational properties --
FIT/MODE
10: 0 1 1 1 1 1 1 1 2 1 N T3 SD: 42.9123 c. M: 84.0867 c. 11: 1 1 1 0 2 1 1 1 2 1 N SD: 30.9694 c. M:-56.5387 c. 12: 1 1 1 1 1 1 2 1 2 1 N D3 SD: 23.3582 c. M:-47.9548 c. 13: 1 1 1 1 2 1 1 2 2 1 N SD: 23.6845 c. M:-45.2262 c. 14: 1 1 1 1 2 1 2 1 3 1 N SD: 15.3759 c. M: 24.5024 c. 16: 1 2 1 1 2 1 2 2 3 1 N SD: 17.0605 c. M:-29.2659 c. 22: 2 2 1 2 3 1 3 2 4 2 N SD: 15.1617 c. M:-25.2635 c. 23: 2 2 1 2 3 2 2 3 4 2 N SD: 13.6789 c. M:-25.1593 c. 25: 2 2 2 2 3 2 3 2 5 2 N SD: 13.6464 c. M:-23.0723 c. 26: 2 2 2 2 3 2 3 3 5 2 N SD: 7.9534 c. M: 13.5836 c. 30: 2 3 2 2 4 2 4 3 6 2 N SD: 7.5491 c. M:-18.7556 c. 40: 3 4 2 3 5 3 5 4 8 3 N SD: 7.2803 c. M:-14.0690 c. 44: 3 4 3 3 6 3 5 5 8 4 N SD: 7.4510 c. M: 15.6815 c. 46: 3 5 2 4 6 3 6 5 8 4 N SD: 6.4455 c. M:-12.7647 c. 48: 3 5 3 4 6 3 6 5 9 4 N SD: 4.9655 c. M:-9.2198 c. 53: 4 5 3 4 7 4 6 6 10 4 N SD: 5.7764 c. M:-10.3931 c. 56: 4 5 4 4 7 4 7 6 10 5 N SD: 4.3136 c. M: 8.3872 c. 62: 4 6 4 5 8 4 8 6 12 5 N SD: 3.6583 c. M: 7.8421 c. 70: 5 6 5 5 9 5 9 7 13 6 N SD: 4.2530 c. M: 7.3595 c. 72: 5 7 4 6 9 5 9 8 13 6 N SD: 2.7190 c. M:-4.5235 c. 86: 6 8 5 7 11 6 11 9 16 7 N SD: 2.4587 c. M: 5.6178 c. 97: 7 9 6 8 12 7 12 10 18 8 N SD: 2.7576 c. M:-5.3538 c. 102: 7 10 6 8 13 7 13 11 19 8 N SD: 2.5087 c. M:-4.6380 c. 110: 8 10 7 9 14 7 14 12 20 9 N SD: 2.7828 c. M:-5.1289 c. 111: 8 10 7 9 14 8 14 11 21 9 N SD: 2.5840 c. M:-4.7116 c. 115: 8 11 7 9 15 8 14 12 22 9 N SD: 2.3764 c. M:-4.8426 c. 117: 8 11 7 10 15 8 14 13 21 10 N SD: 3.0947 c. M:-4.2005 c. 118: 8 11 7 10 15 8 15 12 22 10 N SD: 2.9156 c. M: 6.3273 c. 120: 8 12 7 10 15 8 15 13 22 10 N SD: 2.4423 c. M:-4.2198 c. 124: 9 11 8 10 16 8 16 13 23 10 N SD: 2.0077 c. M:-3.0101 c. 134: 9 13 8 11 17 9 17 14 25 11 N SD: 1.5033 c. M: 3.4897 c. 160: 11 15 10 13 20 11 20 17 30 13 N SD: 1.4986 c. M: 2.6910 c. 171: 12 16 11 13 22 12 21 18 32 14 N SD: 1.4657 c. M:-2.9502 c. 180: 13 16 12 14 23 12 23 19 33 15 N SD: 1.6269 c. M:-2.5993 c. 182: 13 17 11 14 24 12 23 19 34 15 N SD: 1.4582 c. M: 3.1428 c. 183: 13 17 11 15 23 13 23 19 34 15 N SD: 1.4877 c. M:-2.3510 c. 184: 13 17 12 14 24 12 23 20 34 15 N SD: 1.4808 c. M:-3.1790 c. 190: 13 18 12 15 24 13 24 20 35 16 N SD: 1.3195 c. M: 2.2970 c. 198: 14 18 13 15 26 13 25 21 37 16 N SD: 1.3598 c. M: 2.1438 c. 203: 14 19 13 16 26 14 25 22 37 17 N SD: 1.3107 c. M:-2.0280 c. 204: 14 19 13 16 26 14 26 21 38 17 N SD: 1.5042 c. M: 2.5440 c. 209: 15 19 13 17 27 14 26 22 39 17 N SD: 1.3700 c. M:-2.2970 c. 214: 15 20 13 17 28 14 27 23 39 18 N SD: 1.2015 c. M: 2.1790 c. 217: 15 20 14 17 28 15 27 23 40 18 N SD: 1.0957 c. M: 2.3826 c. 239: 17 22 15 19 31 16 30 25 44 20 N SD: 1.1298 c. M:-1.9847 c. 240: 17 22 15 19 31 16 30 26 44 20 N SD: 1.0437 c. M: 2.0452 c. 243: 17 23 15 19 31 17 30 26 45 20 N SD: 1.0349 c. M: 1.6725 c. 244: 17 23 15 19 32 16 31 26 45 20 N SD: 0.9523 c. M: 1.8458 c. 247: 17 23 16 19 32 17 31 26 46 20 N SD: 1.2136 c. M: 1.5990 c. 252: 18 23 16 20 32 17 32 27 46 21 N SD: 1.1321 c. M:-2.1425 c. 254: 18 23 16 20 33 17 32 27 47 21 N SD: 1.1850 c. M: 2.2302 c. 256: 18 24 16 20 33 17 32 27 48 21 N SD: 1.1185 c. M: 2.2474 c. 257: 18 24 16 20 33 18 32 27 48 21 N SD: 0.9842 c. M: 1.9031 c. 258: 18 24 16 21 33 17 33 27 48 21 N SD: 0.9431 c. M:-1.6617 c. 269: 19 25 17 21 35 18 34 28 50 22 N SD: 1.0514 c. M:-1.8582 c. 270: 19 25 17 21 35 18 34 29 50 22 N SD: 0.7961 c. M: 1.3357 c. 302: 21 28 19 24 39 20 38 32 56 25 N SD: 0.7155 c. M: 1.2290 c. 314: 22 29 20 25 40 21 40 33 58 26 N SD: 0.6897 c. M:-1.0988 c. 332: 23 31 21 26 43 22 42 35 62 27 N SD: 0.6871 c. M:-1.1653 c. 341: 24 32 21 27 44 23 43 36 63 28 N SD: 0.6815 c. M:-1.1365 c. 351: 25 32 22 28 45 24 44 37 65 29 N SD: 0.6741 c. M:-1.3834 c. 367: 26 34 23 29 47 25 46 39 68 30 N SD: 0.5603 c. M:-0.9269 c. 399: 28 37 25 32 51 27 50 42 74 33 N SD: 0.4999 c. M:-1.1371 c. 429: 30 40 27 34 55 29 54 45 80 35 N SD: 0.4673 c. M:-0.8535 c. 496: 35 46 31 39 64 33 63 52 92 41 N SD: 0.4635 c. M: 0.9277 c. 501: 35 47 31 40 64 34 63 53 93 41 N SD: 0.3726 c. M:-0.6869 c. 531: 37 50 33 42 68 36 67 56 98 44 N SD: 0.4468 c. M: 0.6794 c. 557: 39 52 35 44 71 38 70 59 103 46 N SD: 0.4382 c. M: 0.9810 c. 571: 40 53 36 45 74 38 72 60 106 47 N SD: 0.4029 c. M:-0.9999 c. 595: 42 55 37 47 77 40 75 63 110 49 N SD: 0.4002 c. M: 0.7382 c. 643: 45 60 40 51 83 43 81 68 119 53 N SD: 0.1835 c. M:-0.4933 c. 669: 47 62 42 53 86 45 84 71 124 55 N SD: 0.2245 c. M: 0.4757 c. 803: 56 75 50 64 103 54 101 85 149 66 N SD: 0.2411 c. M: 0.4005 c. 900: 63 84 56 71 116 61 113 95 167 74 N SD: 0.2117 c. M: 0.4468 c. 957: 67 89 60 76 123 64 121 101 177 79 N SD: 0.2446 c. M:-0.3640 c. 994: 70 92 62 79 128 67 125 105 184 82 N SD: 0.2372 c. M:-0.4203 c. 997: 70 93 62 79 128 67 126 105 185 82 N SD: 0.1876 c. M: 0.3259 c. 1010: 71 94 63 80 130 68 127 107 187 83 N SD: 0.2060 c. M:-0.3981 c. 1024: 72 95 64 81 132 69 129 108 190 84 N SD: 0.2084 c. M:-0.3181 c. 1072: 75 100 67 85 138 72 135 113 199 88 N SD: 0.1914 c. M:-0.3314 c. 1144: 80 107 71 91 147 77 144 121 212 94 N SD: 0.1660 c. M:-0.3037 c. 1200: 84 112 75 95 154 81 151 127 222 99 N SD: 0.1646 c. M:-0.2659 c. 1214: 85 113 76 96 156 82 153 128 225 100 N SD: 0.1333 c. M: 0.2569 c. 1312: 92 122 82 104 169 88 165 139 243 108 N SD: 0.1324 c. M:-0.2358 c. 1543: 108 144 96 122 199 104 194 163 286 127 N SD: 0.1237 c. M: 0.2585 c. 1569: 110 146 98 124 202 106 197 166 291 129 N SD: 0.1354 c. M: 0.2287 c. 1628: 114 152 101 129 210 109 205 172 302 134 N SD: 0.1595 c. M: 0.2181 c. 1640: 115 153 102 130 211 110 207 173 304 135 N SD: 0.1009 c. M: 0.1959 c. 1857: 130 173 116 147 239 125 234 196 344 153 N SD: 0.0768 c. M:-0.1358 c. 2309: 162 215 144 183 297 155 291 244 428 190 N SD: 0.0672 c. M: 0.1481 c. 2358: 165 220 147 187 303 159 297 249 437 194 N SD: 0.0804 c. M:-0.1231 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x 4 S SD: 25.0451 cents 3 x x x x 4 x x 5 x 6 S SD: 7.6102 cents 4 x x x 5 x x 6:7 x 8 S SD: 26.2602 cents 5 x x 6 x x 7:8 x 9:10 S SD: 22.9368 cents 6 x x 7 x 8 x 9:10:11:12 S SD: 12.6237 cents 7 x 8 x 9 x 10:11:12:13:14 S SD: 15.0304 cents 8 x 9 x 10:11 x 12:13:15:16 SD: 10.6877 cents 9 x 10 x 11:12:13:14:15:17:18 SD: 6.2265 cents 10 x 11:12 x x 14:15:17:19:20 SD: 12.3775 cents 11 x 12:13:14:15:16:17:18:21:22 S SD: 10.3350 cents 12:13 x 14:15:16:17:19:20:23:24 SD: 8.9256 cents 13:14 x 15:16 x 18:20:22:25:26 SD: 9.6394 cents 14:15:16 x 17:19:20:22:23:26:28 SD: 8.5291 cents 15:16:17:18:19:20:21:23:25:28:30 SD: 8.0834 cents 16:17:18:19:20:22:23:25:27:30:32 SD: 6.8400 cents 17:18:19:20:21:23:24:26:28:32:34 SD: 3.0058 cents 35:37:39:41:43:47:50:54:58:66:70 SD: 2.6841 cents 39:41:44:46:48:53:55:60:65:74:78 SD: 2.6794 cents 41:43:46:48:51:55:58:63:68:77:82 SD: 2.1928 cents 42:44:47:49:52:57:59:65:70:79:84 SD: 1.9418 cents 57:60:64:67:70:77:81:88:95:108:114 SD: 1.8472 cents 58:61:65:68:72:78:82:90:96:110:116 SD: 1.7993 cents 59:62:66:69:73:80:83:91:98:111:118 SD: 1.4773 cents 60:63:67:70:74:81:85:93:100:113:120 SD: 1.2429 cents 77:81:86:90:95:104:109:119:128:145:154 SD: 0.8540 cents 101:106:113:118:125:136:143:156:168:191:202 SD: 0.7124 cents 118:124:132:138:146:159:167:182:196:223:236 SD: 0.5834 cents 142:149:159:166:175:192:201:219:236:268:284 SD: 0.5362 cents 160:168:179:187:198:216:226:247:266:302:320 SD: 0.5163 cents 166:174:186:194:205:224:235:256:276:314:332 SD: 0.4778 cents 183:192:205:214:226:247:259:283:304:346:366 SD: 0.3485 cents 200:210:224:234:247:270:283:309:332:378:400 SD: 0.2387 cents 325:341:364:380:401:439:460:502:540:614:650 SD: 0.2380 cents 342:359:383:400:422:462:484:528:568:646:684 SD: 0.2114 cents 360:378:403:421:445:486:509:556:598:680:720 SD: 0.2108 cents 366:384:410:428:452:494:518:565:608:691:732 SD: 0.1966 cents 408:428:457:477:504:551:577:630:678:771:816 SD: 0.1769 cents 425:446:476:497:525:574:601:656:706:803:850 SD: 0.1412 cents 443:465:496:518:547:598:627:684:736:837:886 SD: 0.1229 cents 502:527:562:587:620:678:710:775:834:948:1004 SD: 0.1158 cents