Scala analysis: CD12_01_Iraq
Pourquoi [te] vois-je soucieux ? - Ensemble de Muhammad Al-Qubbbânjî (mukhalif, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 88.667 cents 88.666667 2: 236.344 cents 236.343931 3: 383.838 cents 383.837838 4: 499.660 cents 499.659574 5: 715.535 cents 715.535135 6: 873.590 cents 873.589744 7: 1070.719 cents 1070.719424 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 129.2806 cents 129.2806 1: 88.6667 cents 88.6667 2: 147.6773 cents 147.6773 3: 147.4939 cents 147.4939 4: 115.8217 cents 115.8217 5: 215.8756 cents 215.8756 6: 158.0546 cents 158.0546 7: 197.1297 cents 197.1297 8: 129.2806 cents 129.2806
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 88.66667 cents 1: 1 115.82174 cents 1: 1 129.28058 cents 1: 1 147.49391 cents 1: 1 147.67726 cents 1: 1 158.05461 cents 1: 1 197.12968 cents 1: 1 215.87556 cents 2: 1 217.94724 cents 2: 1 236.34393 cents 2: 1 263.31564 cents 2: 1 295.17117 cents 2: 1 326.41026 cents 2: 1 331.69730 cents 2: 1 355.18429 cents 2: 1 373.93017 cents 3: 1 365.62451 cents 3: 1 383.83784 cents 3: 1 410.99291 cents 3: 1 415.07692 cents 3: 1 479.19120 cents 3: 1 484.46487 cents 3: 1 489.75191 cents 3: 1 571.05985 cents 4: 1 499.65957 cents 4: 1 513.11841 cents 4: 1 562.75419 cents 4: 1 573.13153 cents 4: 1 626.86847 cents 4: 1 637.24581 cents 4: 1 686.88159 cents 4: 1 700.34043 cents 5: 1 628.94015 cents 5: 1 710.24809 cents 5: 1 715.53513 cents 5: 1 720.80880 cents 5: 1 784.92308 cents 5: 1 789.00709 cents 5: 1 816.16216 cents 5: 1 834.37549 cents 6: 1 826.06983 cents 6: 1 844.81571 cents 6: 1 868.30270 cents 6: 1 873.58974 cents 6: 1 904.82883 cents 6: 1 936.68436 cents 6: 1 963.65607 cents 6: 1 982.05276 cents 7: 1 984.12444 cents 7: 1 1002.87032 cents 7: 1 1041.94539 cents 7: 1 1052.32274 cents 7: 1 1052.50609 cents 7: 1 1070.71942 cents 7: 1 1084.17826 cents 7: 1 1111.33333 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 : 88.7 236.3 383.8 499.7 715.5 873.6 1070.7 1200.0 88.7 : 147.7 295.2 411.0 626.9 784.9 982.1 1111.3 1200.0 236.3 : 147.5 263.3 479.2 637.2 834.4 963.7 1052.3 1200.0 383.8 : 115.8 331.7 489.8 686.9 816.2 904.8 1052.5 1200.0 499.7 : 215.9 373.9 571.1 700.3 789.0 936.7 1084.2 1200.0 715.5 : 158.1 355.2 484.5 573.1 720.8 868.3 984.1 1200.0 873.6 : 197.1 326.4 415.1 562.8 710.2 826.1 1041.9 1200.0 1070.7: 129.3 217.9 365.6 513.1 628.9 844.8 1002.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 88.6667 .. 215.8756 cents 127.20889 cents 88.66667 cents 2: 217.9472 .. 373.9302 cents 155.98293 cents 2.07168 cents 3: 365.6245 .. 571.0598 cents 205.43534 cents -8.30566 cents 4: 499.6596 .. 700.3404 cents 200.68085 cents -71.40028 cents 5: 628.9402 .. 834.3755 cents 205.43534 cents -71.40028 cents 6: 826.0698 .. 982.0528 cents 155.98293 cents -8.30566 cents 7: 984.1244 .. 1111.3333 cents 127.20889 cents 2.07168 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 88.66667 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 215.87556 cents Average / Smallest step : 1.691729 Largest / Average step : 1.439170 Largest / Smallest step : 2.434687 Median interval of one step : 147.58559 cents, amount: 0 Least squares average step : 145.22430 cents, oct.: 1161.79437 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : AEDBHFGC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.07168 cents Scale diversity : 1.631734 Lumma stability : 0.151231 Lumma impropriety factor : 0.132843 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 : 0.18336 cents Number of recognisable fifths : 4, average 703.2513 cents Number of appreciable fifths : 2, average 705.2943 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 0 1 1 1 1 1 2 1 N T3 SD: 82.0549 c. M: 123.5897 c. 9: 1 1 1 1 1 2 1 1 P M ME SD: 35.8531 c. M:-59.7436 c. 10: 1 1 1 1 2 1 2 1 N D3 SD: 19.9506 c. M: 33.5897 c. 15: 1 2 2 1 3 2 2 2 N SD: 14.7517 c. M: 30.7194 c. 19: 1 3 2 2 3 3 3 2 N SD: 13.8088 c. M: 25.5088 c. 22: 2 2 3 2 4 3 4 2 N SD: 12.6370 c. M:-20.4242 c. 25: 2 3 3 2 5 3 4 3 N SD: 9.8883 c. M: 19.6596 c. 27: 2 3 4 2 5 4 4 3 N SD: 10.2881 c. M:-16.1622 c. 29: 2 4 3 3 5 4 5 3 N SD: 7.9950 c. M: 12.0869 c. 37: 3 4 5 3 7 5 6 4 N SD: 6.8200 c. M: 13.1731 c. 40: 3 5 5 4 7 5 7 4 N SD: 5.9054 c. M:-10.3404 c. 52: 4 6 7 5 9 7 8 6 N SD: 5.8739 c. M: 9.1810 c. 55: 4 7 7 5 10 7 9 6 N SD: 3.9103 c. M:-8.8894 c. 56: 4 7 7 5 10 8 9 6 N SD: 4.3968 c. M: 8.3923 c. 62: 5 7 8 6 11 8 10 7 N SD: 4.3513 c. M:-8.1075 c. 65: 5 8 8 6 12 8 11 7 N SD: 3.4934 c. M: 5.8974 c. 72: 5 9 9 7 13 9 12 8 N SD: 3.5971 c. M: 6.9231 c. 77: 6 9 10 7 14 10 13 8 N SD: 3.3181 c. M:-5.7726 c. 81: 6 10 10 8 14 11 13 9 N SD: 2.6204 c. M: 4.4240 c. 82: 6 10 10 8 15 11 13 9 N SD: 2.4834 c. M:-4.4590 c. 91: 7 11 11 9 16 12 15 10 N SD: 2.4390 c. M:-3.6410 c. 96: 7 12 12 9 17 13 16 10 N SD: 2.3914 c. M:-4.2806 c. 106: 8 13 13 10 19 14 18 11 N SD: 2.2543 c. M:-4.7523 c. 113: 8 14 14 11 20 15 19 12 N SD: 2.5314 c. M: 4.0307 c. 118: 9 14 15 11 21 16 19 13 N SD: 2.3915 c. M: 3.6707 c. 121: 9 15 15 11 22 16 20 13 N SD: 1.9117 c. M: 3.7918 c. 122: 9 15 15 12 22 16 20 13 N SD: 1.3971 c. M:-2.4977 c. 146: 11 18 18 14 26 19 24 16 N SD: 1.8308 c. M:-2.4635 c. 147: 11 18 18 14 27 19 24 16 N SD: 1.3302 c. M:-2.8322 c. 151: 11 19 18 15 27 20 25 16 N SD: 1.4776 c. M: 2.3809 c. 166: 12 21 20 16 30 22 27 18 N SD: 1.2128 c. M:-2.2103 c. 187: 14 23 23 18 34 24 31 20 N SD: 1.4356 c. M:-3.1814 c. 188: 14 23 23 18 34 25 31 20 N SD: 1.0159 c. M: 1.7872 c. 213: 16 26 26 21 38 28 35 23 N SD: 0.8708 c. M:-1.7489 c. 240: 18 29 30 23 43 32 39 26 N SD: 0.9902 c. M:-1.4103 c. 243: 18 30 30 23 44 32 40 26 N SD: 0.7440 c. M:-1.3473 c. 260: 19 32 32 25 47 34 43 28 N SD: 0.8331 c. M: 1.2821 c. 269: 20 33 33 26 48 36 44 29 N SD: 0.7165 c. M: 1.7805 c. 315: 23 39 39 30 57 41 52 34 N SD: 0.7331 c. M: 1.2088 c. 324: 24 40 40 31 58 43 53 35 N SD: 0.6458 c. M:-1.3473 c. 334: 25 41 41 32 60 44 55 36 N SD: 0.6094 c. M:-1.1537 c. 341: 25 42 42 33 61 45 56 37 N SD: 0.6915 c. M: 1.1656 c. 350: 26 43 43 34 63 46 57 38 N SD: 0.6805 c. M:-1.0363 c. 379: 28 47 46 37 68 50 62 41 N SD: 0.5614 c. M:-1.1231 c. 382: 28 47 47 37 69 50 63 41 N SD: 0.5291 c. M: 0.7418 c. 391: 29 48 48 38 70 52 64 42 N SD: 0.5055 c. M:-1.0906 c. 416: 31 51 51 40 75 55 68 45 N SD: 0.4375 c. M:-0.7564 c. 456: 34 56 56 44 82 60 75 49 N SD: 0.4091 c. M:-0.8070 c. 463: 34 57 57 45 83 61 76 50 N SD: 0.3660 c. M:-0.5564 c. 569: 42 70 70 55 102 75 94 61 N SD: 0.3609 c. M:-0.6338 c. 584: 43 72 72 56 105 77 96 63 N SD: 0.3005 c. M: 0.4666 c. 651: 48 80 80 63 117 86 107 70 N SD: 0.2696 c. M: 0.4277 c. 706: 52 87 87 68 127 93 116 76 N SD: 0.1561 c. M:-0.2981 c. 919: 68 113 113 89 165 121 151 99 N SD: 0.1668 c. M:-0.4492 c. 1107: 82 136 136 107 199 146 182 119 N SD: 0.1448 c. M:-0.2833 c. 1122: 83 138 138 108 202 148 184 121 N SD: 0.1245 c. M:-0.2070 c. 1422: 105 175 175 137 256 187 234 153 N SD: 0.1079 c. M: 0.1720 c. 1585: 117 195 195 153 285 209 260 171 N SD: 0.0966 c. M: 0.1831 c. 1595: 118 196 196 154 287 210 262 172 N SD: 0.1014 c. M: 0.1388 c. 1691: 125 208 208 163 304 223 278 182 N SD: 0.0989 c. M: 0.2188 c. 1717: 127 211 211 166 309 226 282 185 N SD: 0.0897 c. M: 0.1454 c. 1801: 133 222 221 174 324 237 296 194 N SD: 0.0837 c. M:-0.1913 c. 2041: 151 251 251 197 367 269 335 220 N SD: 0.0750 c. M:-0.1133 c. 2301: 170 283 283 222 414 303 378 248 N SD: 0.0488 c. M: 0.0988 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: 6.7901 cents 3 x x x 4 x 5 x 6 S SD: 3.6298 cents 4 x x 5 x 6:7 x 8 S SD: 24.0578 cents 5 x x 6:7 x 8:9:10 S SD: 26.7775 cents 6 x 7 x 8:9:10:11:12 S SD: 6.8536 cents 7 x 8:9 x 11:12:13:14 SD: 17.2257 cents 8 x 9:10:11:12:13:15:16 SD: 10.4121 cents 9 x 10:11:12:14:15:17:18 SD: 12.5466 cents 10 x 11:12:13:15:17:19:20 SD: 17.8761 cents 11:12:13:14:15:17:18:20:22 SD: 13.8791 cents 12:13:14:15:16:18:20:22:24 S SD: 8.0891 cents 15:16:17:19:20:23:25:28:30 SD: 6.0956 cents 20:21:23:25:27:30:33:37:40 SD: 3.3348 cents 21:22:24:26:28:32:35:39:42 SD: 3.0572 cents 33:35:38:41:44:50:55:61:66 SD: 2.7530 cents 35:37:40:44:47:53:58:65:70 SD: 2.3723 cents 41:43:47:51:55:62:68:76:82 SD: 1.6032 cents 56:59:64:70:75:85:93:104:112 SD: 1.4920 cents 69:73:79:86:92:104:114:128:138 SD: 1.4769 cents 75:79:86:94:100:113:124:139:150 SD: 1.2877 cents 76:80:87:95:101:115:126:141:152 SD: 1.0514 cents 90:95:103:112:120:136:149:167:180 SD: 0.9968 cents 96:101:110:120:128:145:159:178:192 SD: 0.4930 cents 137:144:157:171:183:207:227:254:274 SD: 0.4581 cents 206:217:236:257:275:311:341:382:412 SD: 0.4572 cents 209:220:240:261:279:316:346:388:418 SD: 0.4214 cents 213:224:244:266:284:322:353:395:426 SD: 0.3969 cents 227:239:260:283:303:343:376:421:454 SD: 0.3821 cents 230:242:264:287:307:348:381:427:460 SD: 0.3625 cents 245:258:281:306:327:370:406:455:490 SD: 0.3523 cents 266:280:305:332:355:402:441:494:532 SD: 0.2594 cents 322:339:369:402:430:487:533:598:644 SD: 0.2592 cents 326:343:374:407:435:493:540:605:652 SD: 0.2205 cents 362:381:415:452:483:547:600:672:724 SD: 0.2075 cents 383:403:439:478:511:579:634:711:766 SD: 0.1645 cents 439:462:503:548:586:664:727:815:878 SD: 0.1611 cents 451:475:517:563:602:682:747:837:902 SD: 0.1561 cents 512:539:587:639:683:774:848:950:1024 SD: 0.1364 cents 535:563:613:668:714:809:886:993:1070 SD: 0.1344 cents 553:582:634:690:738:836:916:1026:1106 SD: 0.1291 cents 568:598:651:709:758:859:941:1054:1136 SD: 0.1197 cents 588:619:674:734:785:889:974:1091:1176 SD: 0.1145 cents