Scala analysis: CD02_01_Egypt
Le soleil de la perfection est apparu - Darwîsh Muhammad al-Harîrî (hicazkar, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 141.720 cents 141.719857 2: 344.364 cents 344.364409 3: 469.303 cents 469.303067 4: 633.974 cents 633.973796 5: 751.287 cents 751.287075 6: 841.026 cents 841.026401 7: 1060.266 cents 1060.266395 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 139.7336 cents 139.7336 1: 141.7199 cents 141.7199 2: 202.6446 cents 202.6446 3: 124.9387 cents 124.9387 4: 164.6707 cents 164.6707 5: 117.3133 cents 117.3133 6: 89.7393 cents 89.7393 7: 219.2400 cents 219.2400 8: 139.7336 cents 139.7336
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 89.73933 cents 1: 1 117.31328 cents 1: 1 124.93866 cents 1: 1 139.73361 cents 1: 1 141.71986 cents 1: 1 164.67073 cents 1: 1 202.64455 cents 1: 1 219.23999 cents 2: 1 207.05261 cents 2: 1 281.45346 cents 2: 1 281.98401 cents 2: 1 289.60939 cents 2: 1 308.97932 cents 2: 1 327.58321 cents 2: 1 344.36441 cents 2: 1 358.97360 cents 3: 1 371.72333 cents 3: 1 406.92267 cents 3: 1 426.29260 cents 3: 1 448.71293 cents 3: 1 469.30307 cents 3: 1 484.09801 cents 3: 1 492.25394 cents 3: 1 500.69346 cents 4: 1 496.66199 cents 4: 1 566.02620 cents 4: 1 590.43278 cents 4: 1 590.96333 cents 4: 1 609.03667 cents 4: 1 609.56722 cents 4: 1 633.97380 cents 4: 1 703.33801 cents 5: 1 699.30654 cents 5: 1 707.74606 cents 5: 1 715.90199 cents 5: 1 730.69693 cents 5: 1 751.28707 cents 5: 1 773.70740 cents 5: 1 793.07733 cents 5: 1 828.27667 cents 6: 1 841.02640 cents 6: 1 855.63559 cents 6: 1 872.41679 cents 6: 1 891.02068 cents 6: 1 910.39061 cents 6: 1 918.01599 cents 6: 1 918.54654 cents 6: 1 992.94739 cents 7: 1 980.76001 cents 7: 1 997.35545 cents 7: 1 1035.32927 cents 7: 1 1058.28014 cents 7: 1 1060.26640 cents 7: 1 1075.06134 cents 7: 1 1082.68672 cents 7: 1 1110.26067 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 141.7 344.4 469.3 634.0 751.3 841.0 1060.3 1200.0 141.7 : 202.6 327.6 492.3 609.6 699.3 918.5 1058.3 1200.0 344.4 : 124.9 289.6 406.9 496.7 715.9 855.6 997.4 1200.0 469.3 : 164.7 282.0 371.7 591.0 730.7 872.4 1075.1 1200.0 634.0 : 117.3 207.1 426.3 566.0 707.7 910.4 1035.3 1200.0 751.3 : 89.7 309.0 448.7 590.4 793.1 918.0 1082.7 1200.0 841.0 : 219.2 359.0 500.7 703.3 828.3 992.9 1110.3 1200.0 1060.3: 139.7 281.5 484.1 609.0 773.7 891.0 980.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 89.7393 .. 219.2400 cents 129.50067 cents 89.73933 cents 2: 207.0526 .. 358.9736 cents 151.92099 cents -12.18739 cents 3: 371.7233 .. 500.6935 cents 128.97012 cents 12.74974 cents 4: 496.6620 .. 703.3380 cents 206.67602 cents -4.03146 cents 5: 699.3065 .. 828.2767 cents 128.97012 cents -4.03146 cents 6: 841.0264 .. 992.9474 cents 151.92099 cents 12.74974 cents 7: 980.7600 .. 1110.2607 cents 129.50067 cents -12.18739 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 89.73933 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 219.23999 cents Average / Smallest step : 1.671508 Largest / Average step : 1.461600 Largest / Smallest step : 2.443076 Median interval of one step : 140.72673 cents, amount: 0 Least squares average step : 149.99368 cents, oct.: 1199.94947 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : EGCFBAHD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.03146 cents Scale diversity : 1.627119 Lumma stability : 0.170815 Lumma impropriety factor : 0.027031 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 0.53055 cents Number of recognisable fifths : 4, average 706.5731 cents Number of appreciable fifths : 3, average 703.4635 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 29.8926 c. M:-58.9736 c. 10: 1 2 1 1 1 1 2 1 P D3 I SD: 20.4763 c. M: 33.9738 c. 11: 1 2 1 2 1 1 2 1 P M ME SD: 24.9033 c. M: 32.9394 c. 13: 2 2 1 2 1 1 2 2 N SD: 24.8774 c. M: 44.8818 c. 15: 2 2 2 2 1 1 3 2 N SD: 22.7797 c. M: 41.0264 c. 16: 2 2 2 2 2 1 3 2 P T3 SD: 22.1571 c. M: 44.3644 c. 17: 2 3 2 2 2 1 3 2 P SD: 13.0578 c. M:-25.1835 c. 24: 3 4 2 4 2 2 4 3 P SD: 10.7083 c. M: 19.3031 c. 26: 3 4 3 4 2 2 5 3 N SD: 10.8613 c. M: 21.2875 c. 27: 3 5 3 3 3 2 5 3 P SD: 9.9256 c. M:-19.5858 c. 31: 4 5 3 4 3 3 5 4 P SD: 11.2633 c. M: 15.8032 c. 32: 4 5 3 5 3 2 6 4 N SD: 10.3961 c. M: 19.3031 c. 33: 4 5 4 4 4 2 6 4 P SD: 9.8372 c. M: 17.0917 c. 34: 4 6 3 5 3 3 6 4 P SD: 6.3847 c. M: 10.4795 c. 41: 5 7 4 6 4 3 7 5 P SD: 6.7603 c. M:-9.9286 c. 42: 5 7 4 6 4 3 8 5 N SD: 7.2160 c. M: 12.4550 c. 43: 5 7 5 6 4 3 8 5 N SD: 5.0309 c. M: 9.4807 c. 49: 6 8 5 7 5 3 9 6 N SD: 5.4485 c. M: 8.3733 c. 51: 6 9 5 7 5 4 9 6 P SD: 3.8480 c. M:-8.5768 c. 53: 6 9 6 7 5 4 10 6 N SD: 4.1514 c. M:-6.1686 c. 59: 7 10 6 8 6 4 11 7 N SD: 3.0824 c. M: 7.1281 c. 66: 8 11 7 9 6 5 12 8 N SD: 3.8901 c. M: 5.8325 c. 67: 8 11 7 9 7 5 12 8 P SD: 3.4782 c. M: 7.1081 c. 70: 8 12 7 10 7 5 13 8 N SD: 3.1942 c. M: 6.4459 c. 77: 9 13 8 11 7 6 14 9 N SD: 2.3302 c. M:-4.9872 c. 93: 11 16 9 13 9 7 17 11 N SD: 2.7548 c. M: 4.7869 c. 94: 11 16 10 13 9 7 17 11 N SD: 2.1253 c. M:-4.3241 c. 104: 12 18 11 14 10 8 19 12 N SD: 2.0429 c. M:-3.7739 c. 110: 13 19 11 15 11 8 20 13 N SD: 1.9818 c. M:-4.7265 c. 118: 14 20 12 16 12 9 21 14 P SD: 2.0752 c. M: 3.4653 c. 120: 14 20 13 16 12 9 22 14 N SD: 2.2656 c. M: 4.3644 c. 121: 14 21 12 17 12 9 22 14 N SD: 2.1508 c. M: 3.1874 c. 128: 15 22 13 18 12 10 23 15 N SD: 1.9401 c. M:-3.5262 c. 136: 16 23 14 19 13 10 25 16 N SD: 1.4305 c. M: 2.7911 c. 144: 17 24 15 20 14 11 26 17 N SD: 1.5986 c. M: 2.6977 c. 153: 18 26 16 21 15 11 28 18 N SD: 1.2412 c. M: 1.8107 c. 161: 19 27 17 22 16 12 29 19 N SD: 1.1077 c. M: 1.8813 c. 171: 20 29 18 23 17 13 31 20 N SD: 1.1368 c. M: 2.3948 c. 174: 21 29 18 24 17 13 32 20 N SD: 1.3139 c. M:-3.1077 c. 187: 22 32 19 26 18 14 34 22 N SD: 1.1122 c. M:-2.1597 c. 220: 26 37 23 30 22 16 40 26 N SD: 1.0961 c. M: 2.0846 c. 227: 27 38 24 31 22 17 42 26 N SD: 1.0614 c. M:-2.2887 c. 238: 28 40 25 33 23 18 43 28 N SD: 0.9702 c. M: 1.5073 c. 248: 29 42 26 34 24 19 45 29 N SD: 0.8262 c. M: 1.3973 c. 297: 35 50 31 41 29 22 54 35 N SD: 0.7696 c. M: 1.6805 c. 307: 36 52 32 42 30 23 56 36 N SD: 0.6882 c. M: 1.0032 c. 337: 40 57 35 46 33 25 62 39 N SD: 0.6447 c. M:-1.0362 c. 345: 41 58 36 47 34 26 63 40 N SD: 0.5697 c. M: 0.9303 c. 388: 46 65 41 53 38 29 71 45 N SD: 0.5592 c. M: 1.0654 c. 414: 49 70 43 57 40 31 76 48 N SD: 0.5019 c. M:-0.8088 c. 422: 50 71 44 58 41 32 77 49 N SD: 0.4002 c. M:-0.6798 c. 481: 57 81 50 66 47 36 88 56 N SD: 0.2755 c. M:-0.4839 c. 575: 68 97 60 79 56 43 105 67 N SD: 0.2025 c. M:-0.4610 c. 642: 76 108 67 88 63 48 117 75 N SD: 0.2878 c. M: 0.4533 c. 746: 88 126 78 102 73 56 136 87 N SD: 0.2128 c. M:-0.4020 c. 823: 97 139 86 113 80 62 150 96 N SD: 0.2631 c. M: 0.3758 c. 882: 104 149 92 121 86 66 161 103 N SD: 0.2113 c. M: 0.4024 c. 979: 116 165 102 134 96 73 179 114 N SD: 0.2102 c. M:-0.4660 c. 990: 117 167 103 136 97 74 181 115 N SD: 0.1846 c. M:-0.3397 c. 997: 118 168 104 137 97 75 182 116 N SD: 0.2199 c. M:-0.3291 c. 1049: 124 177 109 144 103 78 192 122 N SD: 0.1979 c. M:-0.2859 c. 1056: 125 178 110 145 103 79 193 123 N SD: 0.1415 c. M:-0.3256 c. 1153: 136 195 120 158 113 86 211 134 N SD: 0.1494 c. M:-0.2713 c. 1196: 141 202 125 164 117 89 219 139 N SD: 0.2142 c. M:-0.2687 c. 1209: 143 204 126 166 118 90 221 141 N SD: 0.1987 c. M: 0.3316 c. 1217: 144 205 127 167 119 91 222 142 N SD: 0.1665 c. M: 0.2828 c. 1227: 145 207 128 168 120 92 224 143 N SD: 0.1343 c. M: 0.2330 c. 1297: 153 219 135 178 127 97 237 151 N SD: 0.1378 c. M: 0.2206 c. 1348: 159 228 140 185 132 101 246 157 N SD: 0.1379 c. M:-0.2199 c. 1391: 164 235 145 191 136 104 254 162 N SD: 0.1190 c. M: 0.2389 c. 1450: 171 245 151 199 142 108 265 169 N SD: 0.1306 c. M: 0.2026 c. 1565: 185 264 163 215 153 117 286 182 N SD: 0.1218 c. M:-0.1809 c. 1575: 186 266 164 216 154 118 288 183 N SD: 0.1199 c. M:-0.3050 c. 1624: 192 274 169 223 159 121 297 189 N SD: 0.1088 c. M:-0.1908 c. 1711: 202 289 178 235 167 128 313 199 N SD: 0.0983 c. M:-0.1661 c. 1728: 204 292 180 237 169 129 316 201 N SD: 0.0922 c. M:-0.1503 c. 1872: 221 316 195 257 183 140 342 218 N SD: 0.0571 c. M: 0.1336 c. 2209: 261 373 230 303 216 165 404 257 N SD: 0.0659 c. M:-0.1229 c. 2370: 280 400 247 325 232 177 433 276 N SD: 0.0553 c. M:-0.1053 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 24.6660 cents 3 x x 4 x x 5 x 6 S SD: 17.3327 cents 4 x 5 x x 6 x 7:8 S SD: 28.0120 cents 5 x 6 x 7 x 8:9:10 S SD: 15.5455 cents 6 x 7:8 x 9:10:11:12 S SD: 17.6868 cents 7:8 x 9:10:11 x 13:14 SD: 17.1183 cents 8:9:10:11 x 12:13:15:16 SD: 17.8267 cents 9:10:11:12:13:14:15:17:18 SD: 9.8615 cents 13:14:16:17:19:20:21:24:26 SD: 4.1634 cents 22:24:27:29:32:34:36:41:44 SD: 3.8007 cents 32:35:39:42:46:49:52:59:64 SD: 2.5176 cents 45:49:55:59:65:69:73:83:90 SD: 1.7158 cents 59:64:72:77:85:91:96:109:118 SD: 1.1446 cents 81:88:99:106:117:125:132:149:162 SD: 1.1038 cents 83:90:101:109:120:128:135:153:166 SD: 0.9049 cents 109:118:133:143:157:168:177:201:218 SD: 0.7263 cents 118:128:144:155:170:182:192:218:236 SD: 0.5956 cents 131:142:160:172:189:202:213:242:262 SD: 0.5660 cents 142:154:173:186:205:219:231:262:284 SD: 0.5347 cents 154:167:188:202:222:238:250:284:308 SD: 0.4817 cents 186:202:227:244:268:287:302:343:372 SD: 0.3780 cents 219:238:267:287:316:338:356:404:438 SD: 0.3759 cents 232:252:283:304:335:358:377:428:464 SD: 0.3684 cents 237:257:289:311:342:366:385:437:474 SD: 0.3627 cents 245:266:299:321:353:378:398:452:490 SD: 0.3398 cents 267:290:326:350:385:412:434:493:534 SD: 0.3100 cents 269:292:328:353:388:415:437:496:538 SD: 0.2806 cents 283:307:345:371:408:437:460:522:566 SD: 0.2602 cents 296:321:361:388:427:457:481:546:592 SD: 0.2417 cents 305:331:372:400:440:471:496:563:610 SD: 0.2202 cents 328:356:400:430:473:506:533:605:656 SD: 0.1741 cents 350:380:427:459:505:540:569:646:700 SD: 0.1739 cents 446:484:544:585:643:688:725:823:892 SD: 0.1616 cents 459:498:560:602:662:708:746:847:918 SD: 0.1524 cents 491:533:599:644:708:758:798:906:982 SD: 0.1075 cents 504:547:615:661:727:778:819:930:1008 SD: 0.0968 cents