Scala analysis: CD13_02_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (dukah, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 143.819 cents 143.819331 2: 349.809 cents 349.809395 3: 553.697 cents 553.697430 4: 843.335 cents 843.335465 5: 1049.683 cents 1049.683307 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 150.3167 cents 150.3167 1: 143.8193 cents 143.8193 2: 205.9901 cents 205.9901 3: 203.8880 cents 203.8880 4: 289.6380 cents 289.6380 5: 206.3478 cents 206.3478 6: 150.3167 cents 150.3167
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 143.81933 cents 1: 1 150.31669 cents 1: 1 203.88804 cents 1: 1 205.99006 cents 1: 1 206.34784 cents 1: 1 289.63803 cents 2: 1 294.13602 cents 2: 1 349.80939 cents 2: 1 356.66454 cents 2: 1 409.87810 cents 2: 1 493.52607 cents 2: 1 495.98588 cents 3: 1 500.12609 cents 3: 1 500.48387 cents 3: 1 553.69743 cents 3: 1 646.30257 cents 3: 1 699.51613 cents 3: 1 699.87391 cents 4: 1 704.01412 cents 4: 1 706.47393 cents 4: 1 790.12190 cents 4: 1 843.33546 cents 4: 1 850.19061 cents 4: 1 905.86398 cents 5: 1 910.36197 cents 5: 1 993.65216 cents 5: 1 994.00994 cents 5: 1 996.11196 cents 5: 1 1049.68331 cents 5: 1 1056.18067 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 143.8 349.8 553.7 843.3 1049.7 1200.0 143.8 : 206.0 409.9 699.5 905.9 1056.2 1200.0 349.8 : 203.9 493.5 699.9 850.2 994.0 1200.0 553.7 : 289.6 496.0 646.3 790.1 996.1 1200.0 843.3 : 206.3 356.7 500.5 706.5 910.4 1200.0 1049.7: 150.3 294.1 500.1 704.0 993.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 143.8193 .. 289.6380 cents 145.81870 cents 143.81933 cents 2: 294.1360 .. 495.9859 cents 201.84985 cents 4.49799 cents 3: 500.1261 .. 699.8739 cents 199.74782 cents 4.14021 cents 4: 704.0141 .. 905.8640 cents 201.84985 cents 4.14021 cents 5: 910.3620 .. 1056.1807 cents 145.81870 cents 4.49799 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 143.81933 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 289.63803 cents Average / Smallest step : 1.390634 Largest / Average step : 1.448190 Largest / Smallest step : 2.013902 Median interval of one step : 204.93905 cents, amount: 0 Least squares average step : 201.38779 cents, oct.: 1208.32673 cents Scale is strictly proper Step pattern alph. order: ABCDEF Step pattern size order : ADCFEB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.14021 cents Scale diversity : 1.481111 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.254096 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 0.35778 cents Number of recognisable fifths : 4, average 702.4695 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 45.0290 c. M:-56.1807 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 1 2 1 1 P M ME SD: 22.3616 c. M: 39.4117 c. 15: 2 2 3 4 2 2 N SD: 20.9292 c. M:-36.6645 c. 16: 2 3 2 4 3 2 P SD: 17.4766 c. M: 28.6974 c. 17: 2 3 3 4 3 2 P SD: 6.2635 c. M:-11.0085 c. 24: 3 4 4 6 4 3 P SD: 4.0088 c. M:-6.6645 c. 41: 5 7 7 10 7 5 P SD: 3.1507 c. M:-5.4450 c. 65: 8 11 11 16 11 8 P SD: 3.0980 c. M:-5.8953 c. 73: 9 12 13 17 13 9 P SD: 3.9947 c. M:-5.2067 c. 74: 9 13 12 18 13 9 P SD: 3.5918 c. M:-6.9474 c. 78: 9 14 13 19 13 10 P SD: 3.3021 c. M: 5.3578 c. 85: 10 15 14 21 14 11 P SD: 3.2939 c. M: 4.9774 c. 89: 11 15 15 22 15 11 P SD: 3.2356 c. M:-6.1027 c. 93: 11 16 16 22 16 12 SP SD: 2.8496 c. M: 4.6258 c. 102: 12 18 17 25 17 13 P SD: 2.5204 c. M:-3.7234 c. 110: 13 19 19 26 19 14 SP SD: 2.1820 c. M: 3.3355 c. 111: 13 19 19 27 19 14 P SD: 2.3188 c. M: 3.8634 c. 117: 14 20 20 28 20 15 SP SD: 1.7822 c. M: 3.5295 c. 128: 15 22 22 31 22 16 P SD: 1.7988 c. M: 3.1943 c. 134: 16 23 23 32 23 17 SP SD: 1.2251 c. M: 1.9221 c. 151: 18 26 26 36 26 19 SP SD: 1.2048 c. M:-2.5940 c. 158: 19 27 27 38 27 20 SP SD: 0.7702 c. M: 1.5820 c. 175: 21 30 30 42 30 22 SP SD: 0.7460 c. M:-1.7311 c. 182: 22 31 31 44 31 23 SP SD: 0.7996 c. M: 1.3317 c. 199: 24 34 34 48 34 25 SP SD: 0.7018 c. M:-1.0764 c. 302: 36 52 51 73 52 38 SP SD: 0.8045 c. M: 1.3795 c. 310: 37 53 53 75 53 39 SP SD: 0.7197 c. M: 1.4223 c. 319: 38 55 54 77 55 40 SP SD: 0.5472 c. M: 0.8726 c. 336: 40 58 57 81 58 42 SP SD: 0.4667 c. M: 0.9622 c. 343: 41 59 58 83 59 43 SP SD: 0.4195 c. M: 0.9278 c. 360: 43 62 61 87 62 45 SP SD: 0.2902 c. M: 0.4860 c. 501: 60 86 85 121 86 63 SP SD: 0.3092 c. M: 0.5815 c. 518: 62 89 88 125 89 65 SP SD: 0.1381 c. M: 0.2625 c. 542: 65 93 92 131 93 68 SP SD: 0.1551 c. M: 0.2368 c. 559: 67 96 95 135 96 70 SP SD: 0.1491 c. M:-0.3139 c. 902: 108 155 153 218 155 113 SP SD: 0.1348 c. M: 0.2606 c. 919: 110 158 156 222 158 115 SP SD: 0.1385 c. M:-0.1901 c. 1053: 126 181 179 254 181 132 SP SD: 0.1227 c. M: 0.2296 c. 1060: 127 182 180 256 182 133 SP SD: 0.1159 c. M: 0.2493 c. 1077: 129 185 183 260 185 135 SP SD: 0.0800 c. M:-0.1186 c. 1877: 225 322 319 453 323 235 SP SD: 0.0646 c. M: 0.1024 c. 2395: 287 411 407 578 412 300 SP SD: 0.0501 c. M: 0.0808 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 70.6902 cents 3 x x 4:5 x 6 S SD: 23.0461 cents 4 x 5 x x 7:8 SD: 29.5719 cents 5 x 6:7:8:9:10 S SD: 12.5002 cents 6 x 7:8:10:11:12 S SD: 21.5954 cents 8:9:10:11:13:15:16 SD: 13.3810 cents 10:11:12:14:16:18:20 S SD: 10.9990 cents 11:12:13:15:18:20:22 SD: 10.9299 cents 13:14:16:18:21:24:26 S SD: 4.5251 cents 22:24:27:30:36:40:44 S SD: 4.2518 cents 24:26:29:33:39:44:48 SD: 3.8494 cents 32:35:39:44:52:59:64 SD: 2.8157 cents 35:38:43:48:57:64:70 SD: 1.8016 cents 48:52:59:66:78:88:96 SD: 1.6334 cents 59:64:72:81:96:108:118 SD: 1.3884 cents 67:73:82:92:109:123:134 SD: 1.1655 cents 72:78:88:99:117:132:144 SD: 1.1419 cents 80:87:98:110:130:147:160 SD: 0.9260 cents 103:112:126:142:168:189:206 SD: 0.7781 cents 116:126:142:160:189:213:232 SD: 0.7197 cents 138:150:169:190:225:253:276 SD: 0.5340 cents 151:164:185:208:246:277:302 SD: 0.4546 cents 175:190:214:241:285:321:350 SD: 0.4003 cents 196:213:240:270:319:359:392 SD: 0.3762 cents 210:228:257:289:342:385:420 SD: 0.3325 cents 228:248:279:314:371:418:456 SD: 0.3178 cents 241:262:295:332:392:442:482 SD: 0.2854 cents 276:300:338:380:449:506:552 SD: 0.2474 cents 300:326:367:413:488:550:600 SD: 0.2322 cents 371:403:454:511:604:680:742 SD: 0.2041 cents 379:412:464:522:617:695:758 SD: 0.1806 cents 403:438:493:555:656:739:806 SD: 0.1660 cents 416:452:509:573:677:763:832 SD: 0.1621 cents 438:476:536:603:713:803:876 SD: 0.0934 cents 451:490:552:621:734:827:902 SD: 0.0484 cents