Scala analysis: CD12_04_Iraq
Suite - 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: 145.923 cents 145.922765 2: 295.126 cents 295.125779 3: 406.625 cents 406.624934 4: 625.345 cents 625.345237 5: 771.349 cents 771.349111 6: 985.161 cents 985.160813 7: 1067.960 cents 1067.959787 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 132.0402 cents 132.0402 1: 145.9228 cents 145.9228 2: 149.2030 cents 149.2030 3: 111.4992 cents 111.4992 4: 218.7203 cents 218.7203 5: 146.0039 cents 146.0039 6: 213.8117 cents 213.8117 7: 82.7990 cents 82.7990 8: 132.0402 cents 132.0402
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 82.79897 cents 1: 1 111.49916 cents 1: 1 132.04021 cents 1: 1 145.92276 cents 1: 1 146.00387 cents 1: 1 149.20301 cents 1: 1 213.81170 cents 1: 1 218.72030 cents 2: 1 214.83919 cents 2: 1 260.70217 cents 2: 1 277.96298 cents 2: 1 295.12578 cents 2: 1 296.61068 cents 2: 1 330.21946 cents 2: 1 359.81558 cents 2: 1 364.72418 cents 3: 1 360.76195 cents 3: 1 406.62493 cents 3: 1 427.16599 cents 3: 1 428.65089 cents 3: 1 442.61455 cents 3: 1 476.22333 cents 3: 1 479.42247 cents 3: 1 578.53588 cents 4: 1 509.96497 cents 4: 1 538.66515 cents 4: 1 574.57365 cents 4: 1 574.65476 cents 4: 1 625.34524 cents 4: 1 625.42635 cents 4: 1 661.33485 cents 4: 1 690.03503 cents 5: 1 621.46412 cents 5: 1 720.57753 cents 5: 1 723.77667 cents 5: 1 757.38545 cents 5: 1 771.34911 cents 5: 1 772.83401 cents 5: 1 793.37507 cents 5: 1 839.23805 cents 6: 1 835.27582 cents 6: 1 840.18442 cents 6: 1 869.78054 cents 6: 1 903.38932 cents 6: 1 904.87422 cents 6: 1 922.03702 cents 6: 1 939.29783 cents 6: 1 985.16081 cents 7: 1 981.27970 cents 7: 1 986.18830 cents 7: 1 1050.79699 cents 7: 1 1053.99613 cents 7: 1 1054.07723 cents 7: 1 1067.95979 cents 7: 1 1088.50085 cents 7: 1 1117.20103 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 : 145.9 295.1 406.6 625.3 771.3 985.2 1068.0 1200.0 145.9 : 149.2 260.7 479.4 625.4 839.2 922.0 1054.1 1200.0 295.1 : 111.5 330.2 476.2 690.0 772.8 904.9 1050.8 1200.0 406.6 : 218.7 364.7 578.5 661.3 793.4 939.3 1088.5 1200.0 625.3 : 146.0 359.8 442.6 574.7 720.6 869.8 981.3 1200.0 771.3 : 213.8 296.6 428.7 574.6 723.8 835.3 1054.0 1200.0 985.2 : 82.8 214.8 360.8 510.0 621.5 840.2 986.2 1200.0 1068.0: 132.0 278.0 427.2 538.7 757.4 903.4 1117.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.7990 .. 218.7203 cents 135.92133 cents 82.79897 cents 2: 214.8392 .. 364.7242 cents 149.88499 cents -3.88112 cents 3: 360.7620 .. 578.5359 cents 217.77393 cents -3.96223 cents 4: 509.9650 .. 690.0350 cents 180.07007 cents -68.57091 cents 5: 621.4641 .. 839.2380 cents 217.77393 cents -68.57091 cents 6: 835.2758 .. 985.1608 cents 149.88499 cents -3.96223 cents 7: 981.2797 .. 1117.2010 cents 135.92133 cents -3.88112 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 82.79897 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 218.72030 cents Average / Smallest step : 1.811617 Largest / Average step : 1.458135 Largest / Smallest step : 2.641582 Median interval of one step : 145.96332 cents, amount: 0 Least squares average step : 153.43558 cents, oct.: 1227.48467 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : DFBHEGAC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.94638 cents Scale diversity : 1.628254 Lumma stability : 0.137998 Lumma impropriety factor : 0.127357 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 : 0.08111 cents Number of recognisable fifths : 1, average 690.0350 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 2 0 1 N T3 SD: 30.7136 c. M:-64.8392 c. 9: 1 1 1 2 1 1 1 1 P M ME SD: 27.9025 c. M: 51.8275 c. 11: 1 2 1 2 1 2 1 1 P D3 SD: 24.3012 c. M: 36.8319 c. 15: 2 2 1 3 2 2 1 2 P D3 SD: 20.3446 c. M:-28.6509 c. 16: 2 2 1 3 2 3 1 2 N T3 SD: 17.9042 c. M: 31.6249 c. 17: 2 2 2 3 2 3 1 2 N SD: 9.2842 c. M:-16.9045 c. 29: 4 3 3 5 4 5 2 3 N SD: 10.2055 c. M:-19.5945 c. 33: 4 4 3 6 4 6 2 4 N SD: 6.7436 c. M: 13.4143 c. 39: 5 5 3 7 5 7 3 4 N SD: 7.4911 c. M:-12.5665 c. 44: 5 6 4 8 5 8 3 5 N SD: 5.1755 c. M: 9.5591 c. 50: 6 6 5 9 6 9 3 6 N SD: 5.1693 c. M: 11.9598 c. 56: 7 7 5 10 7 10 4 6 N SD: 2.9227 c. M:-4.8742 c. 73: 9 9 7 13 9 13 5 8 N SD: 1.8401 c. M:-4.3340 c. 106: 13 13 10 19 13 19 7 12 N SD: 1.8463 c. M: 3.8088 c. 107: 13 13 10 20 13 19 7 12 N SD: 2.3398 c. M: 3.5370 c. 115: 14 14 11 21 14 20 8 13 N SD: 2.2788 c. M: 4.2912 c. 117: 14 15 11 21 14 21 8 13 N SD: 1.9529 c. M:-3.6315 c. 121: 15 15 11 22 15 21 9 13 N SD: 2.2312 c. M: 3.3426 c. 123: 15 15 12 22 15 22 8 14 N SD: 2.1777 c. M: 4.5452 c. 129: 16 16 12 23 16 23 9 14 N SD: 1.9726 c. M:-2.9144 c. 134: 16 17 12 25 16 24 9 15 N SD: 1.9159 c. M: 3.6399 c. 138: 17 17 13 25 17 24 10 15 N SD: 1.7465 c. M:-2.5639 c. 146: 18 18 13 27 18 26 10 16 N SD: 1.7102 c. M: 3.8852 c. 154: 19 19 14 28 19 27 11 17 N SD: 1.6872 c. M: 3.3426 c. 156: 19 19 15 28 19 28 11 17 N SD: 1.6078 c. M: 2.8181 c. 157: 19 20 14 29 19 28 11 17 N SD: 1.5447 c. M:-2.9634 c. 163: 20 20 15 30 20 29 11 18 N SD: 1.1209 c. M: 1.7170 c. 174: 21 22 16 32 21 31 12 19 N SD: 1.2025 c. M:-2.2410 c. 190: 23 24 17 35 23 34 13 21 N SD: 1.1322 c. M: 2.4144 c. 207: 25 26 19 38 25 37 14 23 N SD: 0.7422 c. M: 1.2931 c. 263: 32 33 24 48 32 47 18 29 N SD: 0.5877 c. M:-1.4522 c. 280: 34 35 26 51 34 50 19 31 N SD: 0.4709 c. M: 0.8169 c. 428: 52 53 40 78 52 76 30 47 N SD: 0.4804 c. M: 1.0487 c. 436: 53 54 41 79 53 78 30 48 N SD: 0.4705 c. M:-0.7145 c. 484: 59 60 45 88 59 86 34 53 N SD: 0.4561 c. M: 0.8633 c. 493: 60 61 46 90 60 88 34 54 N SD: 0.3993 c. M:-0.6404 c. 520: 63 65 48 95 63 93 36 57 N SD: 0.3902 c. M: 0.5799 c. 526: 64 65 49 96 64 94 36 58 N SD: 0.4095 c. M: 0.8292 c. 537: 65 67 50 98 65 96 37 59 N SD: 0.3358 c. M: 0.6714 c. 593: 72 74 55 108 72 106 41 65 N SD: 0.2882 c. M:-0.5056 c. 626: 76 78 58 114 76 112 43 69 N SD: 0.3394 c. M: 0.7421 c. 635: 77 79 59 116 77 113 44 70 N SD: 0.3400 c. M: 0.5939 c. 643: 78 80 60 117 78 115 44 71 N SD: 0.3300 c. M: 0.5871 c. 658: 80 82 61 120 80 117 46 72 N SD: 0.3184 c. M:-0.7332 c. 664: 81 82 62 121 81 118 46 73 N SD: 0.2940 c. M: 0.5475 c. 675: 82 84 63 123 82 120 47 74 N SD: 0.3155 c. M:-0.4862 c. 691: 84 86 64 126 84 123 48 76 N SD: 0.2359 c. M: 0.5009 c. 708: 86 88 66 129 86 126 49 78 N SD: 0.2017 c. M: 0.4151 c. 764: 93 95 71 139 93 136 53 84 N SD: 0.1863 c. M: 0.3441 c. 871: 106 108 81 159 106 155 60 96 N SD: 0.1752 c. M: 0.2923 c. 927: 113 115 86 169 113 165 64 102 N SD: 0.1551 c. M:-0.3556 c. 944: 115 117 88 172 115 168 65 104 N SD: 0.1728 c. M:-0.2637 c. 971: 118 121 90 177 118 173 67 107 N SD: 0.1494 c. M:-0.2398 c. 1134: 138 141 105 207 138 202 78 125 N SD: 0.1437 c. M: 0.2757 c. 1207: 147 150 112 220 147 215 83 133 N SD: 0.1324 c. M:-0.2247 c. 1257: 153 156 117 229 153 224 87 138 N SD: 0.1297 c. M:-0.2980 c. 1447: 176 180 134 264 176 258 100 159 N SD: 0.1281 c. M: 0.2670 c. 1464: 178 182 136 267 178 261 101 161 N SD: 0.0560 c. M:-0.0851 c. 2172: 264 270 202 396 264 387 150 239 N SD: 0.0623 c. M: 0.0982 c. 2228: 271 277 207 406 271 397 154 245 N SD: 0.0497 c. M:-0.0833 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: 34.6971 cents 3 x x 4 x x 5 x 6 S SD: 45.3611 cents 4 x x 5 x 6:7 x 8 S SD: 18.5319 cents 5 x 6 x 7:8:9 x 10 S SD: 14.2829 cents 6 x 7:8 x 9 x 11:12 SD: 23.9310 cents 7 x 8:9:10:11:12:13:14 S SD: 12.6224 cents 8:9 x 10:11:13:14:15:16 SD: 17.3323 cents 9:10:11 x 13:14:16:17:18 SD: 10.5432 cents 11:12:13:14:16:17:19:20:22 SD: 7.5404 cents 12:13:14:15:17:19:21:22:24 SD: 6.8041 cents 16:17:19:20:23:25:28:30:32 SD: 6.5979 cents 20:22:24:25:29:31:35:37:40 SD: 5.5247 cents 21:23:25:27:30:33:37:39:42 SD: 4.3482 cents 22:24:26:28:32:34:39:41:44 SD: 4.2679 cents 23:25:27:29:33:36:41:43:46 SD: 3.6111 cents 32:35:38:40:46:50:57:59:64 SD: 3.5252 cents 33:36:39:42:47:52:58:61:66 SD: 3.3022 cents 34:37:40:43:49:53:60:63:68 SD: 1.9964 cents 48:52:57:61:69:75:85:89:96 SD: 1.5667 cents 60:65:71:76:86:94:106:111:120 SD: 1.3819 cents 69:75:82:87:99:108:122:128:138 SD: 1.0349 cents 80:87:95:101:115:125:141:148:160 SD: 0.8893 cents 102:111:121:129:146:159:180:189:204 SD: 0.7050 cents 103:112:122:130:148:161:182:191:206 SD: 0.6608 cents 124:135:147:157:178:194:219:230:248 SD: 0.5682 cents 150:163:178:190:215:234:265:278:300 SD: 0.5453 cents 171:186:203:216:245:267:302:317:342 SD: 0.5128 cents 182:198:216:230:261:284:322:337:364 SD: 0.4833 cents 184:200:218:233:264:287:325:341:368 SD: 0.4453 cents 193:210:229:244:277:301:341:358:386 SD: 0.3574 cents 205:223:243:259:294:320:362:380:410 SD: 0.3088 cents 237:258:281:300:340:370:419:439:474 SD: 0.3068 cents 253:275:300:320:363:395:447:469:506 SD: 0.2165 cents 317:345:376:401:455:495:560:587:634 SD: 0.1960 cents 340:370:403:430:488:531:601:630:680 SD: 0.1898 cents 420:457:498:531:603:656:742:778:840 SD: 0.1768 cents 442:481:524:559:634:690:781:819:884 SD: 0.1479 cents 510:555:605:645:732:796:901:945:1020 SD: 0.1299 cents 522:568:619:660:749:815:922:967:1044 SD: 0.1170 cents 570:620:676:721:818:890:1007:1056:1140 SD: 0.0816 cents