Scala analysis: CD12_07_saba_Iraq
J'aperçois les traces de leur campement et me Morfonds de passion - Ensemble de Muhammad Al-Qubbbânjî (saba, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 139.667 cents 139.666997 2: 304.066 cents 304.065770 3: 570.920 cents 570.919799 4: 692.624 cents 692.623750 5: 834.040 cents 834.040192 6: 875.855 cents 875.854864 7: 995.531 cents 995.530858 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 204.4691 cents 204.4691 1: 139.6670 cents 139.6670 2: 164.3988 cents 164.3988 3: 266.8540 cents 266.8540 4: 121.7040 cents 121.7040 5: 141.4164 cents 141.4164 6: 41.8147 cents 41.8147 7: 119.6760 cents 119.6760 8: 204.4691 cents 204.4691
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 41.81467 cents 1: 1 119.67599 cents 1: 1 121.70395 cents 1: 1 139.66700 cents 1: 1 141.41644 cents 1: 1 164.39877 cents 1: 1 204.46914 cents 1: 1 266.85403 cents 2: 1 161.49067 cents 2: 1 183.23111 cents 2: 1 263.12039 cents 2: 1 304.06577 cents 2: 1 324.14514 cents 2: 1 344.13614 cents 2: 1 388.55798 cents 2: 1 431.25280 cents 3: 1 302.90711 cents 3: 1 304.93507 cents 3: 1 365.95981 cents 3: 1 463.81213 cents 3: 1 508.53491 cents 3: 1 529.97442 cents 3: 1 552.95675 cents 3: 1 570.91980 cents 4: 1 424.61106 cents 4: 1 505.62680 cents 4: 1 507.37625 cents 4: 1 571.78909 cents 4: 1 628.21091 cents 4: 1 692.62375 cents 4: 1 694.37320 cents 4: 1 775.38894 cents 5: 1 629.08020 cents 5: 1 647.04325 cents 5: 1 670.02558 cents 5: 1 691.46509 cents 5: 1 736.18787 cents 5: 1 834.04019 cents 5: 1 895.06493 cents 5: 1 897.09289 cents 6: 1 768.74720 cents 6: 1 811.44202 cents 6: 1 855.86386 cents 6: 1 875.85486 cents 6: 1 895.93423 cents 6: 1 936.87961 cents 6: 1 1016.76889 cents 6: 1 1038.50933 cents 7: 1 933.14597 cents 7: 1 995.53086 cents 7: 1 1035.60123 cents 7: 1 1058.58356 cents 7: 1 1060.33300 cents 7: 1 1078.29605 cents 7: 1 1080.32401 cents 7: 1 1158.18533 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 : 139.7 304.1 570.9 692.6 834.0 875.9 995.5 1200.0 139.7 : 164.4 431.3 553.0 694.4 736.2 855.9 1060.3 1200.0 304.1 : 266.9 388.6 530.0 571.8 691.5 895.9 1035.6 1200.0 570.9 : 121.7 263.1 304.9 424.6 629.1 768.7 933.1 1200.0 692.6 : 141.4 183.2 302.9 507.4 647.0 811.4 1078.3 1200.0 834.0 : 41.8 161.5 366.0 505.6 670.0 936.9 1058.6 1200.0 875.9 : 119.7 324.1 463.8 628.2 895.1 1016.8 1158.2 1200.0 995.5 : 204.5 344.1 508.5 775.4 897.1 1038.5 1080.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 41.8147 .. 266.8540 cents 225.03936 cents 41.81467 cents 2: 161.4907 .. 431.2528 cents 269.76214 cents -105.36336 cents 3: 302.9071 .. 570.9198 cents 268.01269 cents -128.34569 cents 4: 424.6111 .. 775.3889 cents 350.77788 cents -146.30874 cents 5: 629.0802 .. 897.0929 cents 268.01269 cents -146.30874 cents 6: 768.7472 .. 1038.5093 cents 269.76214 cents -128.34569 cents 7: 933.1460 .. 1158.1853 cents 225.03936 cents -105.36336 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 41.81467 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 266.85403 cents Average / Smallest step : 3.587258 Largest / Average step : 1.779027 Largest / Smallest step : 6.381828 Median interval of one step : 140.54172 cents, amount: 0 Least squares average step : 153.06421 cents, oct.: 1224.51369 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : DFHCEABG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.86930 cents Scale diversity : 1.657580 Lumma stability : 0.069691 Lumma impropriety factor : 0.622293 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 : 0.86930 cents Number of recognisable fifths : 3, average 692.8207 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 2 1 1 0 1 1 N T3 SD: 38.9897 c. M:-65.9598 c. 9: 1 1 2 1 1 0 1 2 N SD: 42.2885 c. M: 75.8549 c. 10: 1 2 2 1 1 0 1 2 N SD: 31.0123 c. M:-55.9342 c. 11: 1 2 2 1 2 0 1 2 N SD: 25.6574 c. M:-38.6871 c. 12: 1 2 3 1 1 1 1 2 N SD: 23.0536 c. M: 39.6670 c. Sideways scale 15: 2 2 3 2 1 1 1 3 N SD: 22.2890 c. M: 35.5309 c. 16: 2 2 4 1 2 1 1 3 N SD: 17.1966 c. M:-29.0802 c. 17: 2 2 4 2 2 0 2 3 N SD: 14.7481 c. M: 28.7960 c. 19: 2 3 4 2 2 1 2 3 N SD: 9.9358 c. M:-14.9955 c. 23: 3 3 5 2 3 1 2 4 N SD: 9.4973 c. M:-16.8547 c. 33: 4 4 8 3 4 1 3 6 N SD: 8.1511 c. M: 13.7127 c. 34: 4 5 7 4 4 1 3 6 N SD: 9.1246 c. M:-13.5813 c. 35: 4 5 8 3 4 2 3 6 N SD: 8.5591 c. M:-15.5737 c. 36: 4 5 8 4 4 1 4 6 N SD: 5.4088 c. M: 9.1882 c. 40: 5 5 9 4 5 1 4 7 N SD: 5.3784 c. M:-10.3330 c. 52: 6 7 12 5 6 2 5 9 N SD: 3.0893 c. M:-6.0033 c. 59: 7 8 13 6 7 2 6 10 N SD: 1.3429 c. M:-2.7059 c. 111: 13 15 25 11 13 4 11 19 N SD: 1.1654 c. M:-2.0532 c. 170: 20 23 38 17 20 6 17 29 N SD: 0.8364 c. M:-1.5095 c. 229: 27 31 51 23 27 8 23 39 N SD: 0.8315 c. M:-1.8177 c. 260: 30 36 58 26 31 9 26 44 N SD: 1.0409 c. M:-1.3922 c. 263: 31 36 58 27 31 9 26 45 N SD: 1.0404 c. M:-1.7779 c. 265: 31 36 59 27 31 9 27 45 N SD: 0.8573 c. M: 1.8926 c. 269: 31 37 60 27 32 9 27 46 N SD: 0.9105 c. M: 1.5054 c. 275: 32 38 61 28 32 10 27 47 N SD: 0.8752 c. M:-1.3888 c. 281: 33 38 63 28 33 10 28 48 N SD: 0.9254 c. M:-1.3222 c. 282: 33 38 63 29 33 10 28 48 N SD: 0.8953 c. M: 1.9381 c. 292: 34 40 65 30 34 10 29 50 N SD: 0.7927 c. M:-1.8968 c. 301: 35 41 67 31 35 11 30 51 N SD: 0.8983 c. M:-1.2215 c. 307: 36 42 68 31 36 11 31 52 N SD: 0.8746 c. M: 1.4669 c. 311: 36 43 69 32 36 11 31 53 N SD: 0.8048 c. M:-1.9100 c. 315: 37 43 70 32 37 11 31 54 N SD: 0.7601 c. M:-1.2854 c. 328: 38 45 73 33 39 11 33 56 N SD: 0.7318 c. M: 1.4646 c. 334: 39 46 74 34 39 12 33 57 N SD: 0.6784 c. M:-1.3235 c. 351: 41 48 78 36 41 12 35 60 N SD: 0.6231 c. M:-1.3933 c. 360: 42 49 80 37 42 13 36 61 N SD: 0.7455 c. M:-1.1358 c. 364: 42 50 81 37 43 13 36 62 N SD: 0.6745 c. M: 1.2055 c. 370: 43 51 82 38 43 13 37 63 N SD: 0.6194 c. M:-1.4303 c. 380: 44 52 85 38 45 13 38 65 N SD: 0.7807 c. M: 1.1180 c. 386: 45 53 86 39 45 14 38 66 N SD: 0.7071 c. M:-1.1009 c. 387: 45 53 86 39 46 13 39 66 N SD: 0.6728 c. M: 1.4363 c. 393: 46 54 87 40 46 14 39 67 N SD: 0.6091 c. M:-1.2777 c. 404: 47 55 90 41 48 14 40 69 N SD: 0.5748 c. M: 1.0955 c. 406: 47 56 90 41 48 14 41 69 N SD: 0.6569 c. M: 0.9981 c. 410: 48 56 91 42 48 14 41 70 N SD: 0.5702 c. M:-1.0348 c. 423: 49 58 94 43 50 15 42 72 N SD: 0.4976 c. M:-0.7409 c. 473: 55 65 105 48 56 16 47 81 N SD: 0.4964 c. M: 1.0277 c. 481: 56 66 107 49 56 17 48 82 N SD: 0.4686 c. M:-0.9313 c. 482: 56 66 107 49 57 17 48 82 N SD: 0.4195 c. M: 0.7953 c. 492: 57 68 109 50 58 17 49 84 N SD: 0.4108 c. M:-0.8123 c. 534: 62 73 119 54 63 19 53 91 N SD: 0.3983 c. M: 0.6950 c. 551: 64 76 122 56 65 19 55 94 N SD: 0.3673 c. M:-0.8344 c. 593: 69 81 132 60 70 21 59 101 N SD: 0.3331 c. M: 0.5496 c. 603: 70 83 134 61 71 21 60 103 N SD: 0.2987 c. M: 0.5060 c. 662: 77 91 147 67 78 23 66 113 N SD: 0.2605 c. M:-0.4660 c. 773: 90 106 172 78 91 27 77 132 N SD: 0.2950 c. M: 0.4468 c. 774: 90 106 172 79 91 27 77 132 N SD: 0.2253 c. M:-0.3995 c. 832: 97 114 185 84 98 29 83 142 N SD: 0.2921 c. M: 0.3863 c. 833: 97 114 185 85 98 29 83 142 N SD: 0.1992 c. M: 0.4516 c. 885: 103 121 197 90 104 31 88 151 N SD: 0.1897 c. M: 0.3370 c. 944: 110 129 210 96 111 33 94 161 N SD: 0.1589 c. M: 0.2522 c. 1085: 126 149 241 110 128 38 108 185 N SD: 0.1850 c. M: 0.3122 c. 1144: 133 157 254 116 135 40 114 195 N SD: 0.1758 c. M: 0.3161 c. 1196: 139 164 266 121 141 42 119 204 N SD: 0.1808 c. M: 0.3161 c. 1204: 140 165 268 122 142 42 120 205 N SD: 0.1434 c. M:-0.2249 c. 1263: 147 173 281 128 149 44 126 215 N SD: 0.1116 c. M:-0.1936 c. 1433: 167 196 319 145 169 50 143 244 N SD: 0.1170 c. M:-0.1898 c. 1755: 204 241 390 178 207 61 175 299 N SD: 0.1123 c. M:-0.2077 c. 1807: 210 248 402 183 213 63 180 308 N SD: 0.1122 c. M: 0.2093 c. 1814: 211 249 403 184 214 63 181 309 N SD: 0.1035 c. M:-0.2341 c. 1847: 215 253 411 187 218 64 184 315 N SD: 0.1119 c. M: 0.1871 c. 1862: 217 255 414 189 219 65 186 317 N SD: 0.1260 c. M:-0.1826 c. 1866: 217 256 415 189 220 65 186 318 N SD: 0.0798 c. M:-0.1413 c. 1925: 224 264 428 195 227 67 192 328 N SD: 0.0653 c. M:-0.1420 c. 2096: 244 287 466 213 247 73 209 357 N SD: 0.0896 c. M:-0.1243 c. 2131: 248 292 474 216 251 74 213 363 N SD: 0.0855 c. M: 0.2096 c. 2148: 250 294 478 218 253 75 214 366 N SD: 0.0825 c. M: 0.1552 c. 2207: 257 302 491 224 260 77 220 376 N SD: 0.0672 c. M: 0.1238 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: 4.6656 cents 3 x x 4 x x 5 x 6 S SD: 24.4564 cents 4 x 5 x 6 x x 7:8 S SD: 21.7442 cents 5 x 6:7 x 8 x 9:10 S SD: 6.8397 cents 6 x 7:8:9 x 10:11:12 S SD: 16.4583 cents 7 x 8:10 x 11:12 x 14 S SD: 23.1684 cents 8:9:10:11:12:13 x 14:16 S SD: 15.7263 cents 9:10:11 x 13 x 15:16:18 SD: 13.8587 cents 10:11:12:14:15:16:17:18:20 S SD: 7.6335 cents 11:12:13:15:16:18 x 20:22 SD: 10.4271 cents 12:13:14:17:18:19:20:21:24 SD: 8.6307 cents 14:15:17:19:21 x 23:25:28 SD: 8.6252 cents 15:16:18:21:22:24:25:27:30 SD: 6.7279 cents 17:18:20:24:25 x 28:30:34 SD: 8.7700 cents 18:20:21:25:27:29:30:32:36 SD: 7.3363 cents 20:22:24:28:30:32:33:36:40 S SD: 5.5589 cents 21:23:25:29:31:34:35:37:42 SD: 4.1523 cents 22:24:26:31:33:36 x 39:44 SD: 5.1727 cents 23:25:27:32:34:37:38:41:46 SD: 4.2747 cents 26:28:31:36:39:42:43:46:52 SD: 2.4107 cents 36:39:43:50:54:58:60:64:72 SD: 1.9701 cents 47:51:56:65:70:76:78:84:94 SD: 1.7885 cents 57:62:68:79:85:92:95:101:114 SD: 1.7586 cents 58:63:69:81:87:94:96:103:116 SD: 1.6859 cents 59:64:70:82:88:96:98:105:118 SD: 1.5676 cents 61:66:73:85:91:99:101:108:122 SD: 1.4753 cents 71:77:85:99:106:115:118:126:142 SD: 1.2479 cents 73:79:87:102:109:118:121:130:146 SD: 1.2396 cents 79:86:94:110:118:128:131:140:158 SD: 1.2390 cents 82:89:98:114:122:133:136:146:164 SD: 1.0391 cents 84:91:100:117:125:136:139:149:168 SD: 0.9664 cents 94:102:112:131:140:152:156:167:188 SD: 0.7050 cents 108:117:129:150:161:175:179:192:216 SD: 0.6191 cents 120:130:143:167:179:194:199:213:240 SD: 0.4607 cents 167:181:199:232:249:270:277:297:334 SD: 0.4248 cents 202:219:241:281:301:327:335:359:404 SD: 0.3380 cents 228:247:272:317:340:369:378:405:456 SD: 0.2925 cents 287:311:342:399:428:465:476:510:574 SD: 0.2319 cents 297:322:354:413:443:481:493:528:594 SD: 0.2245 cents 307:333:366:427:458:497:509:546:614 SD: 0.2235 cents 323:350:385:449:482:523:536:574:646 SD: 0.1841 cents 333:361:397:463:497:539:552:592:666 SD: 0.1679 cents 417:452:497:580:622:675:692:741:834 SD: 0.1495 cents 427:463:509:594:637:691:708:759:854 SD: 0.1438 cents 512:555:610:712:764:829:849:910:1024 SD: 0.1257 cents 583:632:695:811:870:944:967:1036:1166 SD: 0.0986 cents