Scala analysis: CD11_11_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: 172.795 cents 172.795323 2: 289.579 cents 289.578996 3: 491.017 cents 491.016852 4: 712.089 cents 712.088548 5: 988.322 cents 988.321609 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 211.6784 cents 211.6784 1: 172.7953 cents 172.7953 2: 116.7837 cents 116.7837 3: 201.4379 cents 201.4379 4: 221.0717 cents 221.0717 5: 276.2331 cents 276.2331 6: 211.6784 cents 211.6784
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 116.78367 cents 1: 1 172.79532 cents 1: 1 201.43786 cents 1: 1 211.67839 cents 1: 1 221.07170 cents 1: 1 276.23306 cents 2: 1 289.57900 cents 2: 1 318.22153 cents 2: 1 384.47371 cents 2: 1 422.50955 cents 2: 1 487.91145 cents 2: 1 497.30476 cents 3: 1 491.01685 cents 3: 1 501.25739 cents 3: 1 539.29322 cents 3: 1 660.70678 cents 3: 1 698.74261 cents 3: 1 708.98315 cents 4: 1 702.69524 cents 4: 1 712.08855 cents 4: 1 777.49045 cents 4: 1 815.52629 cents 4: 1 881.77847 cents 4: 1 910.42100 cents 5: 1 923.76694 cents 5: 1 978.92830 cents 5: 1 988.32161 cents 5: 1 998.56214 cents 5: 1 1027.20468 cents 5: 1 1083.21633 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 : 172.8 289.6 491.0 712.1 988.3 1200.0 172.8 : 116.8 318.2 539.3 815.5 1027.2 1200.0 289.6 : 201.4 422.5 698.7 910.4 1083.2 1200.0 491.0 : 221.1 497.3 709.0 881.8 998.6 1200.0 712.1 : 276.2 487.9 660.7 777.5 978.9 1200.0 988.3 : 211.7 384.5 501.3 702.7 923.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 116.7837 .. 276.2331 cents 159.44939 cents 116.78367 cents 2: 289.5790 .. 497.3048 cents 207.72576 cents 13.34593 cents 3: 491.0169 .. 708.9831 cents 217.96630 cents -6.28790 cents 4: 702.6952 .. 910.4210 cents 207.72576 cents -6.28790 cents 5: 923.7669 .. 1083.2163 cents 159.44939 cents 13.34594 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 116.78367 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 276.23306 cents Average / Smallest step : 1.712568 Largest / Average step : 1.381165 Largest / Smallest step : 2.365340 Median interval of one step : 206.55812 cents, amount: 0 Least squares average step : 189.17545 cents, oct.: 1135.05271 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 3.10540 cents Scale diversity : 1.601737 Lumma stability : 0.216883 Lumma impropriety factor : 0.010480 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 : 3.10540 cents Number of recognisable fifths : 4, average 705.6274 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 207.7258 cents: 3 -- Rational properties --
FIT/MODE
6: 1 0 1 2 1 1 N T3 SD: 64.4378 c. M: 91.0169 c. 7: 1 1 1 1 2 1 P M ME SD: 30.8154 c. M:-53.2781 c. 10: 1 1 2 2 2 2 P D3 S SD: 32.2271 c. M: 52.7953 c. 12: 2 1 2 2 3 2 P G D3 SD: 14.2121 c. M:-27.2047 c. Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island) 17: 2 2 3 3 4 3 P SD: 13.5407 c. M: 31.6189 c. 22: 3 2 4 4 5 4 P SD: 8.3582 c. M: 16.8517 c. 29: 4 3 5 5 7 5 P SD: 5.4944 c. M: 8.6403 c. 34: 5 3 6 6 8 6 P SD: 4.3563 c. M: 7.2261 c. 49: 7 5 8 9 11 9 P SD: 4.1149 c. M: 8.7298 c. 57: 8 6 9 11 13 10 N SD: 4.2247 c. M: 6.8063 c. 61: 9 6 10 11 14 11 P SD: 3.7942 c. M:-5.5030 c. 62: 9 6 10 12 14 11 N SD: 3.4496 c. M: 7.1459 c. 69: 10 7 11 13 16 12 N SD: 3.2769 c. M:-6.0732 c. 71: 10 7 12 13 16 13 P SD: 3.8678 c. M: 8.0399 c. 74: 11 7 12 14 17 13 N SD: 3.1577 c. M:-5.5831 c. 78: 11 8 13 14 18 14 P SD: 3.0244 c. M: 4.3962 c. 83: 12 8 14 15 19 15 P SD: 2.6221 c. M: 5.1891 c. 91: 13 9 15 17 21 16 N SD: 1.4297 c. M: 3.1048 c. 103: 15 10 17 19 24 18 N SD: 1.6034 c. M:-1.9697 c. 125: 18 12 21 23 29 22 N SD: 1.1240 c. M: 1.6885 c. 174: 25 17 29 32 40 31 N SD: 1.2595 c. M: 2.1147 c. 194: 28 19 32 36 45 34 N SD: 1.2554 c. M: 2.3571 c. 215: 31 21 36 40 49 38 N SD: 1.0084 c. M:-2.3301 c. 227: 33 22 38 42 52 40 N SD: 1.0793 c. M:-1.6540 c. 228: 33 22 38 42 53 40 N SD: 1.0763 c. M: 1.5622 c. 237: 34 23 40 44 54 42 N SD: 0.9748 c. M:-1.8355 c. 244: 35 24 41 45 56 43 N SD: 0.6450 c. M:-1.0262 c. 249: 36 24 42 46 57 44 N SD: 0.6405 c. M:-1.1645 c. 278: 40 27 47 51 64 49 N SD: 0.4738 c. M:-1.0695 c. 335: 48 33 56 62 77 59 N SD: 0.5478 c. M: 0.8550 c. 340: 49 33 57 63 78 60 N SD: 0.4015 c. M:-0.8526 c. 369: 53 36 62 68 85 65 N SD: 0.2288 c. M: 0.4376 c. 679: 98 66 114 125 156 120 N SD: 0.2860 c. M:-0.4006 c. 696: 100 68 117 128 160 123 N SD: 0.2695 c. M: 0.3906 c. 708: 102 69 119 130 163 125 N SD: 0.2627 c. M:-0.5086 c. 709: 102 69 119 131 163 125 N SD: 0.2281 c. M:-0.4643 c. 721: 104 70 121 133 166 127 N SD: 0.2035 c. M:-0.3053 c. 770: 111 75 129 142 177 136 N SD: 0.1915 c. M:-0.2911 c. 799: 115 78 134 147 184 141 N SD: 0.1543 c. M:-0.2833 c. 999: 144 97 168 184 230 176 N SD: 0.1984 c. M:-0.2744 c. 1036: 149 101 174 191 238 183 N SD: 0.1869 c. M: 0.2907 c. 1048: 151 102 176 193 241 185 N SD: 0.1327 c. M:-0.2045 c. 1139: 164 111 191 210 262 201 N SD: 0.0881 c. M:-0.1488 c. 1173: 169 114 197 216 270 207 N SD: 0.0662 c. M:-0.0947 c. 1542: 222 150 259 284 355 272 N SD: 0.0411 c. M: 0.0848 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 5.0668 cents 3 x x 4 x 5:6 S SD: 34.7334 cents 4 x 5 x 6:7:8 S SD: 24.7997 cents 5 x 6:7:8:9:10 S SD: 28.4463 cents 6 x 7:8:9:11:12 SD: 13.2571 cents 7:8 x 9:11:12:14 SD: 24.1159 cents 8:9 x 11:12:14:16 SD: 14.2648 cents 9:10:11:12:14:16:18 S SD: 13.2675 cents 10:11:12:13:15:18:20 SD: 9.2106 cents 12:13:14:16:18:21:24 S SD: 7.8511 cents 16:18:19:21:24:28:32 SD: 7.3093 cents 18:20:21:24:27:32:36 SD: 4.7738 cents 21:23:25:28:32:37:42 SD: 4.6776 cents 22:24:26:29:33:39:44 SD: 4.6087 cents 27:30:32:36:41:48:54 SD: 3.1012 cents 39:43:46:52:59:69:78 SD: 1.6614 cents 49:54:58:65:74:87:98 SD: 1.3261 cents 67:74:79:89:101:119:134 SD: 1.2913 cents 77:85:91:102:116:136:154 SD: 1.0588 cents 88:97:104:117:133:156:176 SD: 1.0412 cents 94:104:111:125:142:166:188 SD: 0.9531 cents 104:115:123:138:157:184:208 SD: 0.3856 cents 143:158:169:190:216:253:286 SD: 0.3777 cents 220:243:260:292:332:389:440 SD: 0.3322 cents 247:273:292:328:373:437:494 SD: 0.2818 cents 275:304:325:365:415:487:550 SD: 0.2746 cents 287:317:339:381:433:508:574 SD: 0.2623 cents 314:347:371:417:474:556:628 SD: 0.2455 cents 390:431:461:518:588:690:780 SD: 0.2450 cents 391:432:462:519:590:692:782 SD: 0.1749 cents 439:485:519:583:662:777:878 SD: 0.1727 cents 466:515:551:619:703:825:932 SD: 0.1636 cents 533:589:630:708:804:943:1066 SD: 0.1505 cents 543:600:642:721:819:961:1086 SD: 0.1196 cents 582:643:688:773:878:1030:1164 SD: 0.0802 cents