Scala analysis: CD11_09_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (ibrahimi, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 161.515 cents 161.515215 2: 298.319 cents 298.319402 3: 497.525 cents 497.524626 4: 702.645 cents 702.644671 5: 996.873 cents 996.873324 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 203.1267 cents 203.1267 1: 161.5152 cents 161.5152 2: 136.8042 cents 136.8042 3: 199.2052 cents 199.2052 4: 205.1200 cents 205.1200 5: 294.2287 cents 294.2287 6: 203.1267 cents 203.1267
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 136.80419 cents 1: 1 161.51522 cents 1: 1 199.20522 cents 1: 1 203.12668 cents 1: 1 205.12004 cents 1: 1 294.22865 cents 2: 1 298.31940 cents 2: 1 336.00941 cents 2: 1 364.64189 cents 2: 1 404.32527 cents 2: 1 497.35533 cents 2: 1 499.34870 cents 3: 1 497.52463 cents 3: 1 501.44608 cents 3: 1 541.12946 cents 3: 1 658.87054 cents 3: 1 698.55392 cents 3: 1 702.47537 cents 4: 1 700.65130 cents 4: 1 702.64467 cents 4: 1 795.67473 cents 4: 1 835.35811 cents 4: 1 863.99059 cents 4: 1 901.68060 cents 5: 1 905.77135 cents 5: 1 994.87996 cents 5: 1 996.87332 cents 5: 1 1000.79478 cents 5: 1 1038.48478 cents 5: 1 1063.19581 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 : 161.5 298.3 497.5 702.6 996.9 1200.0 161.5 : 136.8 336.0 541.1 835.4 1038.5 1200.0 298.3 : 199.2 404.3 698.6 901.7 1063.2 1200.0 497.5 : 205.1 499.3 702.5 864.0 1000.8 1200.0 702.6 : 294.2 497.4 658.9 795.7 994.9 1200.0 996.9 : 203.1 364.6 501.4 700.7 905.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 136.8042 .. 294.2287 cents 157.42447 cents 136.80419 cents 2: 298.3194 .. 499.3487 cents 201.02930 cents 4.09075 cents 3: 497.5246 .. 702.4754 cents 204.95075 cents -1.82407 cents 4: 700.6513 .. 901.6806 cents 201.02930 cents -1.82407 cents 5: 905.7713 .. 1063.1958 cents 157.42447 cents 4.09075 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 136.80419 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 294.22865 cents Average / Smallest step : 1.461944 Largest / Average step : 1.471143 Largest / Smallest step : 2.150728 Median interval of one step : 201.16595 cents, amount: 0 Least squares average step : 189.51289 cents, oct.: 1137.07735 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BACEFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.16930 cents Scale diversity : 1.491892 Lumma stability : 0.234825 Lumma impropriety factor : 0.003040 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 : 0.16930 cents Number of recognisable fifths : 4, average 701.0813 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 1 2 1 N D3 SD: 72.1163 c. M: 102.6447 c. 7: 1 1 1 1 2 1 P M ME SD: 24.6787 c. M:-44.5377 c. 12: 2 1 2 2 3 2 P G D3 SD: 15.8472 c. M:-38.4848 c. Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island) 13: 2 1 2 3 3 2 N SD: 25.5341 c. M: 35.9862 c. 14: 2 1 3 2 4 2 N SD: 23.6859 c. M: 41.1765 c. 15: 2 2 2 3 3 3 P SD: 20.1672 c. M: 36.8733 c. 17: 2 2 3 3 4 3 P SD: 11.2938 c. M: 20.3387 c. 24: 3 3 4 4 6 4 P SD: 5.1368 c. M: 11.5152 c. 29: 4 3 5 5 7 5 P SD: 4.2208 c. M: 8.6642 c. 36: 5 4 6 6 9 6 P SD: 2.9513 c. M:-5.1515 c. 53: 7 6 9 9 13 9 P SD: 2.0947 c. M: 3.9798 c. 60: 8 7 10 10 15 10 P SD: 2.1609 c. M:-3.1267 c. 89: 12 10 15 15 22 15 P SD: 1.1439 c. M: 1.6902 c. 164: 22 19 27 28 40 28 P SD: 1.0187 c. M: 1.7514 c. 193: 26 22 32 33 47 33 P SD: 0.8440 c. M: 2.0547 c. 200: 27 23 33 34 49 34 P SD: 0.8625 c. M:-1.6806 c. 202: 27 23 34 34 50 34 P SD: 1.2365 c. M: 1.6546 c. 205: 28 23 34 35 50 35 P SD: 1.2150 c. M:-2.3872 c. 208: 28 24 34 36 51 35 N SD: 1.1252 c. M:-1.6806 c. 217: 29 25 36 37 53 37 P SD: 0.7899 c. M: 1.4816 c. 229: 31 26 38 39 56 39 P SD: 0.6878 c. M: 1.2401 c. 246: 33 28 41 42 60 42 P SD: 0.8142 c. M: 1.7514 c. 253: 34 29 42 43 62 43 P SD: 0.5300 c. M: 0.8259 c. 282: 38 32 47 48 69 48 P SD: 0.5623 c. M: 1.1286 c. 306: 41 35 51 52 75 52 P SD: 0.5740 c. M: 0.7949 c. 318: 43 36 53 54 78 54 P SD: 0.5690 c. M: 0.7579 c. 326: 44 37 54 56 80 55 N SD: 0.4487 c. M:-0.6727 c. 350: 47 40 58 60 86 59 N SD: 0.4159 c. M:-0.8410 c. 379: 51 43 63 65 93 64 N SD: 0.4021 c. M: 0.6941 c. 415: 56 47 69 71 102 70 N SD: 0.3986 c. M:-0.7170 c. 439: 59 50 73 75 108 74 N SD: 0.3947 c. M:-0.8488 c. 454: 61 52 75 78 111 77 N SD: 0.3935 c. M: 0.6083 c. 483: 65 55 80 83 118 82 N SD: 0.4090 c. M: 0.6302 c. 490: 66 56 81 84 120 83 N SD: 0.2683 c. M:-0.4561 c. 519: 70 59 86 89 127 88 N SD: 0.2780 c. M: 0.4148 c. 526: 71 60 87 90 129 89 N SD: 0.3020 c. M:-0.5399 c. 543: 73 62 90 93 133 92 N SD: 0.1674 c. M: 0.2871 c. 579: 78 66 96 99 142 98 N SD: 0.0939 c. M:-0.1428 c. 1175: 158 134 195 201 288 199 N SD: 0.1103 c. M: 0.1629 c. 1182: 159 135 196 202 290 200 N SD: 0.0962 c. M:-0.1578 c. 1211: 163 138 201 207 297 205 N SD: 0.0538 c. M: 0.0848 c. 1790: 241 204 297 306 439 303 N SD: 0.0532 c. M: 0.0945 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 0.3448 cents 3 x x 4 x 5:6 S SD: 37.5053 cents 4 x 5 x 6:7:8 S SD: 23.0897 cents 5 x 6:7:8:9:10 S SD: 28.4834 cents 6 x 7:8:9:11:12 SD: 12.2391 cents 7 x 8:9:11:12:14 SD: 27.4563 cents 8:9:10:11:12:14:16 S SD: 19.1639 cents 9:10:11:12:14:16:18 S SD: 13.6673 cents 10:11:12:13:15:18:20 SD: 8.5277 cents 12:13:14:16:18:21:24 S SD: 7.9979 cents 18:20:21:24:27:32:36 SD: 6.2953 cents 20:22:24:27:30:36:40 S SD: 5.8388 cents 21:23:25:28:32:37:42 SD: 5.2734 cents 22:24:26:29:33:39:44 SD: 4.1013 cents 30:33:36:40:45:53:60 SD: 3.5292 cents 32:35:38:43:48:57:64 SD: 2.6051 cents 42:46:50:56:63:75:84 SD: 1.4659 cents 80:88:95:107:120:142:160 SD: 1.2969 cents 84:92:100:112:126:149:168 SD: 1.1903 cents 90:99:107:120:135:160:180 SD: 0.6458 cents 132:145:157:176:198:235:264 SD: 0.4881 cents 144:158:171:192:216:256:288 SD: 0.2789 cents 234:257:278:312:351:416:468 SD: 0.2354 cents 276:303:328:368:414:491:552 SD: 0.1802 cents 388:426:461:517:582:690:776 SD: 0.1630 cents 420:461:499:560:630:747:840 SD: 0.1508 cents 511:561:607:681:767:909:1022 SD: 0.1129 cents