Scala analysis: CD11_08_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: 166.979 cents 166.978815 2: 303.673 cents 303.672554 3: 498.748 cents 498.748467 4: 705.395 cents 705.394604 5: 986.779 cents 986.778936 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 213.2211 cents 213.2211 1: 166.9788 cents 166.9788 2: 136.6937 cents 136.6937 3: 195.0759 cents 195.0759 4: 206.6461 cents 206.6461 5: 281.3843 cents 281.3843 6: 213.2211 cents 213.2211
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 136.69374 cents 1: 1 166.97881 cents 1: 1 195.07591 cents 1: 1 206.64614 cents 1: 1 213.22106 cents 1: 1 281.38433 cents 2: 1 303.67255 cents 2: 1 331.76965 cents 2: 1 380.19988 cents 2: 1 401.72205 cents 2: 1 488.03047 cents 2: 1 494.60540 cents 3: 1 498.74847 cents 3: 1 516.89362 cents 3: 1 538.41579 cents 3: 1 661.58421 cents 3: 1 683.10638 cents 3: 1 701.25153 cents 4: 1 705.39460 cents 4: 1 711.96953 cents 4: 1 798.27795 cents 4: 1 819.80012 cents 4: 1 868.23035 cents 4: 1 896.32745 cents 5: 1 918.61567 cents 5: 1 986.77894 cents 5: 1 993.35386 cents 5: 1 1004.92409 cents 5: 1 1033.02119 cents 5: 1 1063.30626 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 : 167.0 303.7 498.7 705.4 986.8 1200.0 167.0 : 136.7 331.8 538.4 819.8 1033.0 1200.0 303.7 : 195.1 401.7 683.1 896.3 1063.3 1200.0 498.7 : 206.6 488.0 701.3 868.2 1004.9 1200.0 705.4 : 281.4 494.6 661.6 798.3 993.4 1200.0 986.8 : 213.2 380.2 516.9 712.0 918.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 136.6937 .. 281.3843 cents 144.69059 cents 136.69374 cents 2: 303.6726 .. 494.6054 cents 190.93284 cents 22.28822 cents 3: 498.7485 .. 701.2515 cents 202.50307 cents 4.14307 cents 4: 705.3946 .. 896.3274 cents 190.93284 cents 4.14307 cents 5: 918.6157 .. 1063.3063 cents 144.69059 cents 22.28822 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 136.69374 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 281.38433 cents Average / Smallest step : 1.463125 Largest / Average step : 1.406922 Largest / Smallest step : 2.058502 Median interval of one step : 200.86102 cents, amount: 0 Least squares average step : 189.29717 cents, oct.: 1135.78302 cents Scale is strictly proper Step pattern alph. order: ABCDEF Step pattern size order : BACDFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.14307 cents Scale diversity : 1.544970 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.271875 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 : 4.14307 cents Number of recognisable fifths : 3, average 706.2052 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 184.3579 cents: 3 -- Rational properties --
FIT/MODE
6: 0 1 1 1 1 2 N T3 SD: 125.4164 c. M: 186.7789 c. 7: 1 1 1 1 2 1 P M ME SD: 25.5948 c. M:-41.7925 c. 12: 2 1 2 2 3 2 P G D3 SD: 14.7724 c. M:-33.0212 c. Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island) 15: 2 2 2 3 3 3 P SD: 16.3158 c. M: 26.7789 c. 17: 2 2 3 3 4 3 P SD: 13.8088 c. M: 25.8023 c. 19: 3 2 3 3 5 3 P G D3 SD: 15.1262 c. M:-23.7474 c. 21: 3 2 4 3 5 4 P SD: 14.1813 c. M: 19.6803 c. 22: 3 3 3 4 5 4 P SD: 10.5504 c. M:-23.6002 c. 24: 3 3 4 4 6 4 P SD: 9.1945 c. M: 16.9788 c. 27: 4 3 4 5 6 5 P SD: 7.9881 c. M:-10.7990 c. 29: 4 3 5 5 7 5 P SD: 6.4192 c. M: 14.0174 c. 36: 5 4 6 6 9 6 P SD: 6.0422 c. M:-13.2211 c. 43: 6 5 7 7 10 8 P SD: 5.5411 c. M: 10.0347 c. 44: 6 5 7 8 10 8 P SD: 4.5532 c. M: 7.8394 c. 51: 7 6 8 9 12 9 P SD: 2.3753 c. M: 4.6308 c. 63: 9 7 10 11 15 11 P SD: 2.8101 c. M:-4.4498 c. 80: 11 9 13 14 19 14 P SD: 2.6453 c. M: 3.7485 c. 94: 13 11 15 16 22 17 P SD: 2.3900 c. M: 3.8002 c. 106: 15 12 17 18 25 19 P SD: 2.1676 c. M: 3.5078 c. 114: 16 13 18 20 27 20 P SD: 2.1596 c. M: 4.0116 c. 122: 17 14 20 21 28 22 SP SD: 2.1556 c. M: 3.1724 c. 123: 17 14 20 21 29 22 P SD: 1.5774 c. M: 2.9556 c. 139: 19 16 23 24 32 25 SP SD: 2.1610 c. M: 2.9500 c. 142: 20 16 23 24 34 25 P SD: 2.0074 c. M: 3.9862 c. 145: 20 17 23 25 34 26 P SD: 1.8700 c. M:-2.5343 c. 146: 20 17 24 25 34 26 SP SD: 1.6402 c. M:-2.6214 c. 151: 21 17 25 26 35 27 SP SD: 1.4085 c. M:-1.9138 c. 158: 22 18 26 27 37 28 SP SD: 1.1221 c. M:-2.5174 c. 185: 26 21 30 32 43 33 SP SD: 1.1600 c. M:-1.6698 c. 202: 28 23 33 35 47 36 SP SD: 0.7899 c. M:-1.5361 c. 209: 29 24 34 36 49 37 SP SD: 0.6471 c. M:-0.8255 c. 265: 37 30 43 46 62 47 SP SD: 0.5769 c. M:-1.0205 c. 281: 39 32 46 48 66 50 SP SD: 0.5612 c. M:-0.8957 c. 308: 43 35 50 53 72 55 SP SD: 0.5053 c. M: 1.0647 c. 332: 46 38 54 57 78 59 SP SD: 0.3757 c. M: 0.7138 c. 359: 50 41 58 62 84 64 SP SD: 0.4612 c. M: 0.7065 c. 388: 54 44 63 67 91 69 SP SD: 0.4251 c. M: 0.8103 c. 395: 55 45 64 68 93 70 SP SD: 0.3994 c. M: 0.5845 c. 490: 68 56 80 84 115 87 SP SD: 0.3970 c. M:-0.8434 c. 495: 69 56 81 85 116 88 SP SD: 0.3941 c. M:-0.6455 c. 517: 72 59 84 89 121 92 SP SD: 0.2580 c. M:-0.3893 c. 546: 76 62 89 94 128 97 SP SD: 0.1726 c. M: 0.3759 c. 597: 83 68 97 103 140 106 SP SD: 0.1594 c. M: 0.2560 c. 849: 118 97 138 146 199 151 SP SD: 0.1693 c. M:-0.2144 c. 861: 120 98 140 148 202 153 SP SD: 0.1678 c. M:-0.2686 c. 878: 122 100 143 151 206 156 SP SD: 0.1623 c. M: 0.2557 c. 905: 126 103 147 156 212 161 SP SD: 0.1362 c. M: 0.2596 c. 1063: 148 121 173 183 249 189 SP SD: 0.1286 c. M:-0.2167 c. 1114: 155 127 181 192 261 198 SP SD: 0.0847 c. M:-0.1709 c. 1446: 201 165 235 249 339 257 SP SD: 0.0789 c. M: 0.1738 c. 1451: 202 165 236 250 340 258 SP SD: 0.0992 c. M: 0.1577 c. 1458: 203 166 237 251 342 259 SP SD: 0.0514 c. M:-0.0994 c. 2004: 279 228 326 345 470 356 SP SD: 0.0565 c. M:-0.0871 c. 2055: 286 234 334 354 482 365 SP SD: 0.0448 c. M:-0.0824 c. 2387: 332 272 388 411 560 424 SP SD: 0.0555 c. M: 0.0748 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 1.7198 cents 3 x x 4 x 5:6 S SD: 34.1409 cents 4 x 5 x 6:7:8 S SD: 21.1597 cents 5 x 6:7:8:9:10 S SD: 28.1684 cents 6 x 7:8:9:11:12 SD: 14.5375 cents 7:8 x 9:11:12:14 SD: 26.0741 cents 8:9:10:11:12:14:16 S SD: 17.7100 cents 9:10:11:12:14:16:18 S SD: 12.6718 cents 10:11:12:13:15:18:20 SD: 9.2676 cents 12:13:14:16:18:21:24 S SD: 8.3265 cents 18:20:21:24:27:32:36 SD: 6.8543 cents 20:22:24:27:30:35:40 S SD: 5.0389 cents 21:23:25:28:32:37:42 SD: 4.4097 cents 30:33:36:40:45:53:60 SD: 2.1204 cents 42:46:50:56:63:74:84 SD: 2.0019 cents 48:53:57:64:72:85:96 SD: 1.4680 cents 68:75:81:91:102:120:136 SD: 1.3273 cents 69:76:82:92:104:122:138 SD: 1.1555 cents 78:86:93:104:117:138:156 SD: 0.7108 cents 99:109:118:132:149:175:198 SD: 0.4310 cents 147:162:175:196:221:260:294 SD: 0.4011 cents 177:195:211:236:266:313:354 SD: 0.1892 cents 443:488:528:591:666:783:886 SD: 0.1771 cents 453:499:540:604:681:801:906 SD: 0.1718 cents 485:534:578:647:729:858:970 SD: 0.1525 cents 543:598:647:724:816:960:1086 SD: 0.1423 cents