Scala analysis: CD10_16_Egypt
Bi Ovoini / Ton sin / Par l'esprit et l'intercesseur / Ondos - Mîkhâ'îl Jirjis al-Batânûnî (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 171.860 cents 171.860070 2: 225.946 cents 225.945697 3: 447.956 cents 447.956368 4: 751.096 cents 751.095791 5: 997.259 cents 997.258733 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 202.7413 cents 202.7413 1: 171.8601 cents 171.8601 2: 54.0856 cents 54.0856 3: 222.0107 cents 222.0107 4: 303.1394 cents 303.1394 5: 246.1629 cents 246.1629 6: 202.7413 cents 202.7413
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 54.08563 cents 1: 1 171.86007 cents 1: 1 202.74127 cents 1: 1 222.01067 cents 1: 1 246.16294 cents 1: 1 303.13942 cents 2: 1 225.94570 cents 2: 1 276.09630 cents 2: 1 374.60134 cents 2: 1 448.90421 cents 2: 1 525.15009 cents 2: 1 549.30237 cents 3: 1 428.68696 cents 3: 1 447.95637 cents 3: 1 579.23572 cents 3: 1 620.76428 cents 3: 1 752.04363 cents 3: 1 771.31304 cents 4: 1 650.69763 cents 4: 1 674.84991 cents 4: 1 751.09579 cents 4: 1 825.39866 cents 4: 1 923.90370 cents 4: 1 974.05430 cents 5: 1 896.86058 cents 5: 1 953.83706 cents 5: 1 977.98933 cents 5: 1 997.25873 cents 5: 1 1028.13993 cents 5: 1 1145.91437 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 : 171.9 225.9 448.0 751.1 997.3 1200.0 171.9 : 54.1 276.1 579.2 825.4 1028.1 1200.0 225.9 : 222.0 525.2 771.3 974.1 1145.9 1200.0 448.0 : 303.1 549.3 752.0 923.9 978.0 1200.0 751.1 : 246.2 448.9 620.8 674.8 896.9 1200.0 997.3 : 202.7 374.6 428.7 650.7 953.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 54.0856 .. 303.1394 cents 249.05380 cents 54.08563 cents 2: 225.9457 .. 549.3024 cents 323.35667 cents -77.19373 cents 3: 428.6870 .. 771.3130 cents 342.62607 cents -120.61540 cents 4: 650.6976 .. 974.0543 cents 323.35667 cents -120.61540 cents 5: 896.8606 .. 1145.9144 cents 249.05380 cents -77.19373 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 54.08563 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 303.13942 cents Average / Smallest step : 3.697840 Largest / Average step : 1.515697 Largest / Smallest step : 5.604806 Median interval of one step : 212.37597 cents, amount: 0 Least squares average step : 188.55272 cents, oct.: 1131.31631 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BADFEC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.94784 cents Scale diversity : 1.660716 Lumma stability : 0.090143 Lumma impropriety factor : 0.329682 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 : 0.94784 cents Number of recognisable fifths : 0 Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 2 1 1 N T3 SD: 32.0520 c. M:-48.9042 c. 10: 1 1 2 2 2 2 P D3 S SD: 32.3237 c. M: 51.8601 c. 11: 2 0 2 3 2 2 N SD: 21.3544 c. M:-46.3217 c. 13: 2 0 3 3 3 2 N SD: 20.5894 c. M: 41.3303 c. 14: 2 1 2 4 3 2 N SD: 21.3820 c. M:-31.3127 c. 16: 2 1 3 4 3 3 N SD: 12.7775 c. M: 22.2587 c. 21: 3 1 4 5 4 4 N SD: 11.7370 c. M: 25.8302 c. 22: 3 1 4 6 4 4 N SD: 10.4720 c. M: 15.4406 c. 27: 4 1 5 7 5 5 N SD: 8.7618 c. M: 19.4810 c. 29: 4 1 6 7 6 5 N SD: 9.2352 c. M: 19.0491 c. 30: 4 2 5 8 6 5 N SD: 9.0212 c. M:-14.0543 c. 32: 5 1 6 8 7 5 N SD: 8.9738 c. M:-15.6399 c. 35: 5 2 6 9 7 6 N SD: 6.0794 c. M:-14.0543 c. 37: 5 2 7 9 8 6 N SD: 6.1277 c. M: 9.6979 c. 42: 6 2 8 10 9 7 N SD: 5.2736 c. M:-9.1865 c. 43: 6 2 8 11 9 7 N SD: 3.8561 c. M:-7.3924 c. 48: 7 2 9 12 10 8 N SD: 1.9852 c. M:-3.1399 c. 107: 15 5 20 27 22 18 N SD: 1.6929 c. M: 3.6358 c. 112: 16 5 21 28 23 19 N SD: 1.0914 c. M:-2.0436 c. 153: 22 7 28 39 31 26 N SD: 1.1793 c. M:-1.8454 c. 155: 22 7 29 39 32 26 N SD: 1.1319 c. M: 1.5375 c. 160: 23 7 30 40 33 27 N SD: 1.0598 c. M:-2.0436 c. 166: 24 7 31 42 34 28 N SD: 1.0616 c. M: 1.8493 c. 182: 26 8 34 46 37 31 N SD: 1.0422 c. M: 1.7699 c. 190: 27 9 35 48 39 32 N SD: 0.8810 c. M:-1.4227 c. 195: 28 9 36 49 40 33 N SD: 0.9214 c. M:-1.7466 c. 201: 29 9 37 51 41 34 N SD: 0.8035 c. M:-1.2743 c. 230: 33 10 43 58 47 39 N SD: 0.7942 c. M: 1.5979 c. 238: 34 11 44 60 49 40 N SD: 0.6886 c. M:-1.0606 c. 249: 36 11 46 63 51 42 N SD: 0.7806 c. M:-1.6339 c. 260: 37 12 48 66 53 44 N SD: 0.6933 c. M:-1.2119 c. 265: 38 12 49 67 54 45 N SD: 0.5499 c. M: 1.0323 c. 308: 44 14 57 78 63 52 N SD: 0.3965 c. M:-0.8523 c. 313: 45 14 58 79 64 53 N SD: 0.4461 c. M:-0.6639 c. 356: 51 16 66 90 73 60 N SD: 0.3496 c. M:-0.5896 c. 546: 78 25 101 138 112 92 N SD: 0.4333 c. M:-0.5526 c. 551: 79 25 102 139 113 93 N SD: 0.3909 c. M:-0.6825 c. 573: 82 26 106 145 117 97 N SD: 0.3694 c. M:-0.7367 c. 621: 89 28 115 157 127 105 N SD: 0.2994 c. M:-0.5950 c. 657: 94 30 121 166 135 111 N SD: 0.3432 c. M:-0.5383 c. 664: 95 30 123 168 136 112 N SD: 0.3425 c. M:-0.7114 c. 669: 96 30 124 169 137 113 N SD: 0.3081 c. M:-0.4741 c. 692: 99 31 128 175 142 117 N SD: 0.3370 c. M: 0.5575 c. 697: 100 31 129 176 143 118 N SD: 0.3511 c. M: 0.4502 c. 705: 101 32 130 178 145 119 N SD: 0.2964 c. M: 0.4575 c. 740: 106 33 137 187 152 125 N SD: 0.2963 c. M: 0.5403 c. 769: 110 35 142 194 158 130 N SD: 0.2686 c. M: 0.5106 c. 775: 111 35 143 196 159 131 N SD: 0.2095 c. M: 0.4725 c. 780: 112 35 144 197 160 132 N SD: 0.2980 c. M:-0.4476 c. 812: 116 37 150 205 167 137 N SD: 0.2731 c. M: 0.4315 c. 817: 117 37 151 206 168 138 N SD: 0.2454 c. M: 0.5450 c. 823: 118 37 152 208 169 139 N SD: 0.1758 c. M: 0.3257 c. 887: 127 40 164 224 182 150 N SD: 0.1443 c. M: 0.2502 c. 930: 133 42 172 235 191 157 N SD: 0.1677 c. M: 0.2472 c. 935: 134 42 173 236 192 158 N SD: 0.1339 c. M: 0.2937 c. 1088: 156 49 201 275 223 184 N SD: 0.1475 c. M: 0.1999 c. 1125: 161 51 208 284 231 190 N SD: 0.1191 c. M:-0.1876 c. 1131: 162 51 209 286 232 191 N SD: 0.1040 c. M: 0.2110 c. 1195: 171 54 221 302 245 202 N SD: 0.0827 c. M: 0.1446 c. 1243: 178 56 230 314 255 210 N SD: 0.0190 c. M: 0.0406 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 24.5704 cents 3 x x 4 x 5:6 S SD: 41.1708 cents 4 x x 5:6:7:8 S SD: 20.9509 cents 5 x 6 x 8:9:10 S SD: 27.8124 cents 6 x 7:8:9:11:12 SD: 19.3012 cents 7 x 8:9:11:12:14 SD: 14.5484 cents 8 x 9:10:12:14:16 S SD: 17.3305 cents 9:10 x 12:14:16:18 S SD: 10.6064 cents 10:11 x 13:15:18:20 SD: 10.7974 cents 13:14:15:17:20:23:26 SD: 8.7602 cents 15 x 17:19:23:27:30 SD: 9.2108 cents 16 x 18:21:25:28:32 SD: 9.5469 cents 17:19 x 22:26:30:34 SD: 5.8869 cents 20:22:23:26:31:36:40 SD: 4.7563 cents 24 x 27:31:37:43:48 SD: 5.1523 cents 25:28 x 32:39:44:50 SD: 8.2771 cents 26:29:30:34:40:46:52 SD: 5.6777 cents 27:30:31:35:42:48:54 SD: 3.6521 cents 28:31:32:36:43:50:56 SD: 3.0064 cents 37:41:42:48:57:66:74 SD: 1.7824 cents 50:55:57:65:77:89:100 SD: 1.6730 cents 57:63:65:74:88:101:114 SD: 1.3662 cents 77:85:88:100:119:137:154 SD: 1.2348 cents 78:86:89:101:120:139:156 SD: 1.1955 cents 85:94:97:110:131:151:170 SD: 0.8570 cents 114:126:130:148:176:203:228 SD: 0.7952 cents 122:135:139:158:188:217:244 SD: 0.7090 cents 135:149:154:175:208:240:270 SD: 0.6625 cents 136:150:155:176:210:242:272 SD: 0.4998 cents 173:191:197:224:267:308:346 SD: 0.3162 cents 230:254:262:298:355:409:460 SD: 0.1655 cents 403:445:459:522:622:717:806 SD: 0.1321 cents 488:539:556:632:753:868:976 SD: 0.0855 cents