Scala analysis: CD16_01_Morocco
Mon coeur t'aime et ma passion est partagée - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (hijaz al-kabir, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 205.289 cents 205.288632 2: 398.221 cents 398.220773 3: 502.499 cents 502.499292 4: 702.249 cents 702.249185 5: 1006.371 cents 1006.371475 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 193.6285 cents 193.6285 1: 205.2886 cents 205.2886 2: 192.9321 cents 192.9321 3: 104.2785 cents 104.2785 4: 199.7499 cents 199.7499 5: 304.1223 cents 304.1223 6: 193.6285 cents 193.6285
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 104.27852 cents 1: 1 192.93214 cents 1: 1 193.62853 cents 1: 1 199.74989 cents 1: 1 205.28863 cents 1: 1 304.12229 cents 2: 1 297.21066 cents 2: 1 304.02841 cents 2: 1 398.22077 cents 2: 1 398.91716 cents 2: 1 497.75081 cents 2: 1 503.87218 cents 3: 1 496.96055 cents 3: 1 502.49929 cents 3: 1 591.84930 cents 3: 1 608.15070 cents 3: 1 697.50071 cents 3: 1 703.03945 cents 4: 1 696.12782 cents 4: 1 702.24918 cents 4: 1 801.08284 cents 4: 1 801.77923 cents 4: 1 895.97159 cents 4: 1 902.78934 cents 5: 1 895.87771 cents 5: 1 994.71137 cents 5: 1 1000.25011 cents 5: 1 1006.37147 cents 5: 1 1007.06786 cents 5: 1 1095.72148 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 : 205.3 398.2 502.5 702.2 1006.4 1200.0 205.3 : 192.9 297.2 497.0 801.1 994.7 1200.0 398.2 : 104.3 304.0 608.2 801.8 1007.1 1200.0 502.5 : 199.7 503.9 697.5 902.8 1095.7 1200.0 702.2 : 304.1 497.8 703.0 896.0 1000.3 1200.0 1006.4: 193.6 398.9 591.8 696.1 895.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 104.2785 .. 304.1223 cents 199.84377 cents 104.27852 cents 2: 297.2107 .. 503.8722 cents 206.66152 cents -6.91163 cents 3: 496.9606 .. 703.0394 cents 206.07889 cents -6.91163 cents 4: 696.1278 .. 902.7893 cents 206.66152 cents -6.91163 cents 5: 895.8777 .. 1095.7215 cents 199.84377 cents -6.91163 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 104.27852 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 304.12229 cents Average / Smallest step : 1.917941 Largest / Average step : 1.520611 Largest / Smallest step : 2.916442 Median interval of one step : 196.68921 cents, amount: 0 Least squares average step : 192.85805 cents, oct.: 1157.14827 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : EBADFC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.09388 cents Scale diversity : 1.449143 Lumma stability : 0.173798 Lumma impropriety factor : 0.023039 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 : 0.09388 cents Number of recognisable fifths : 4, average 699.7293 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 56.4703 c. M:-97.7508 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 1 1 2 1 P M ME SD: 29.2027 c. M: 55.3636 c. 10: 2 1 1 2 2 2 P D3 S SD: 30.6522 c. M: 46.3715 c. 12: 2 2 1 2 3 2 P T3 SD: 3.7201 c. M: 6.3715 c. Raga Siva Kambhoji, Vivardhini, Andhali 67: 11 11 6 11 17 11 P SD: 4.3301 c. M: 8.2737 c. 69: 12 11 6 11 18 11 N SD: 3.3445 c. M: 6.5970 c. 70: 12 11 6 12 18 11 N SD: 3.4230 c. M: 5.3564 c. 75: 13 12 6 13 19 12 N SD: 3.1218 c. M: 6.4993 c. 81: 14 13 7 13 21 13 N SD: 2.7573 c. M: 5.9529 c. 82: 14 13 7 14 21 13 N SD: 2.7583 c. M: 4.9383 c. 87: 15 14 7 15 22 14 N SD: 2.6720 c. M: 5.9476 c. 93: 16 15 8 15 24 15 N SD: 2.4162 c. M: 5.4750 c. 94: 16 15 8 16 24 15 N SD: 2.3522 c. M: 4.6270 c. 105: 18 17 9 17 27 17 N SD: 2.2354 c. M: 5.1063 c. 106: 18 17 9 18 27 17 N SD: 2.1223 c. M: 4.3861 c. 118: 20 19 10 20 30 19 N SD: 2.0110 c. M: 4.1942 c. 130: 22 21 11 22 33 21 N SD: 1.9762 c. M: 4.0378 c. 132: 23 21 11 22 34 21 N SD: 2.4605 c. M:-3.8023 c. 133: 23 21 12 22 34 21 N SD: 2.3687 c. M:-4.1548 c. 135: 23 22 12 22 34 22 P SD: 2.0396 c. M:-4.1674 c. 136: 23 22 12 23 34 22 P SD: 1.8482 c. M:-3.6332 c. 138: 24 22 12 23 35 22 N SD: 2.1601 c. M:-3.4070 c. 141: 24 23 12 24 35 23 P SD: 2.0792 c. M:-4.1338 c. 142: 24 23 12 24 36 23 N SD: 1.9878 c. M: 3.9077 c. 144: 25 23 12 24 37 23 N SD: 2.1444 c. M:-3.0447 c. 145: 25 23 13 24 37 23 N SD: 1.8791 c. M:-3.2837 c. 148: 25 24 13 25 37 24 P SD: 1.7548 c. M:-3.1562 c. 150: 26 24 13 25 38 24 N SD: 1.7553 c. M:-2.7114 c. 156: 27 25 13 26 40 25 N SD: 1.9146 c. M: 2.4993 c. 157: 27 25 14 26 40 25 N SD: 1.4693 c. M:-2.5457 c. 162: 28 26 14 27 41 26 N SD: 1.4314 c. M:-2.1188 c. 169: 29 27 15 28 43 27 N SD: 1.1255 c. M:-1.9125 c. 174: 30 28 15 29 44 28 N SD: 1.1808 c. M:-1.7792 c. 181: 31 29 16 30 46 29 N SD: 0.8402 c. M:-1.3681 c. 193: 33 31 17 32 49 31 N SD: 0.6143 c. M:-1.1277 c. 205: 35 33 18 34 52 33 N SD: 0.4622 c. M:-0.9153 c. 217: 37 35 19 36 55 35 N SD: 0.4091 c. M:-0.7265 c. 473: 81 76 41 79 120 76 N SD: 0.4077 c. M:-0.8167 c. 485: 83 78 42 81 123 78 N SD: 0.3341 c. M:-0.6388 c. 497: 85 80 43 83 126 80 N SD: 0.2795 c. M:-0.4696 c. 509: 87 82 44 85 129 82 N SD: 0.2510 c. M: 0.3382 c. 690: 118 111 60 115 175 111 N SD: 0.2858 c. M:-0.5850 c. 702: 120 113 61 117 178 113 N SD: 0.2420 c. M:-0.4661 c. 714: 122 115 62 119 181 115 N SD: 0.2114 c. M:-0.3512 c. 726: 124 117 63 121 184 117 N SD: 0.1983 c. M: 0.3300 c. 829: 142 133 72 138 210 134 N SD: 0.2193 c. M: 0.3401 c. 943: 161 152 82 157 239 152 N SD: 0.2144 c. M: 0.4106 c. 986: 169 158 86 164 250 159 N SD: 0.2035 c. M:-0.3909 c. 998: 171 160 87 166 253 161 N SD: 0.1681 c. M:-0.3226 c. 1010: 173 162 88 168 256 163 N SD: 0.1401 c. M:-0.2559 c. 1022: 175 164 89 170 259 165 N SD: 0.1233 c. M:-0.1908 c. 1034: 177 166 90 172 262 167 N SD: 0.1213 c. M: 0.1819 c. 1046: 179 168 91 174 265 169 N SD: 0.1337 c. M: 0.2529 c. 1227: 210 197 107 204 311 198 N SD: 0.1141 c. M:-0.1902 c. 1239: 212 199 108 206 314 200 N SD: 0.1033 c. M:-0.1641 c. 1251: 214 201 109 208 317 202 N SD: 0.1046 c. M: 0.1392 c. 1507: 258 242 131 251 382 243 N SD: 0.0950 c. M:-0.1526 c. 1519: 260 244 132 253 385 245 N SD: 0.0702 c. M:-0.1097 c. 1531: 262 246 133 255 388 247 N SD: 0.0517 c. M: 0.0826 c. 1543: 264 248 134 257 391 249 N SD: 0.0465 c. M: 0.1014 c. 1736: 297 279 151 289 440 280 N SD: 0.0499 c. M:-0.0801 c. 1748: 299 281 152 291 443 282 N SD: 0.0327 c. M: 0.0514 c. 1760: 301 283 153 293 446 284 N SD: 0.0314 c. M: 0.0614 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 0.1471 cents 3 x x 4 x 5:6 S SD: 40.6980 cents 4 x 5 x 6:7:8 S SD: 9.8474 cents 5 x 6:7:8:9:10 S SD: 32.1034 cents 6:7 x 8:9:11:12 SD: 15.0474 cents 7:8:9 x 11:13:14 SD: 22.5707 cents 8:9:10:11:12:14:16 S SD: 10.4572 cents 10:11 x 13:15:18:20 SD: 12.7756 cents 12:14:15:16:18:21:24 S SD: 12.2063 cents 14:16:18:19:21:25:28 SD: 8.6946 cents 15:17:19:20:23:27:30 SD: 7.1158 cents 16:18:20:21:24:29:32 SD: 6.8482 cents 18:20:23:24:27:32:36 SD: 6.0847 cents 23:26:29:31:35:41:46 SD: 4.9959 cents 24:27:30:32:36:43:48 SD: 2.1972 cents 38:43:48:51:57:68:76 SD: 2.1311 cents 42:47:53:56:63:75:84 SD: 2.0975 cents 54:61:68:72:81:97:108 SD: 1.7653 cents 62:70:78:83:93:111:124 SD: 0.9685 cents 80:90:101:107:120:143:160 SD: 0.9411 cents 86:97:108:115:129:154:172 SD: 0.9135 cents 104:117:131:139:156:186:208 SD: 0.3305 cents 166:187:209:222:249:297:332 SD: 0.2599 cents 270:304:340:361:405:483:540 SD: 0.1842 cents 294:331:370:393:441:526:588 SD: 0.1341 cents 398:448:501:532:597:712:796 SD: 0.1327 cents 564:635:710:754:846:1009:1128 SD: 0.1290 cents