Scala analysis: CD02_18_Egypt
Faon qui / Par le regard, par mon père, ô sublime beauté - Darwîsh Muhammad al-Harîrî (iraq, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 123.368 cents 123.368436 2: 298.845 cents 298.844638 3: 486.113 cents 486.113356 4: 700.909 cents 700.908845 5: 851.068 cents 851.067733 6: 998.504 cents 998.503851 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 201.4961 cents 201.4961 1: 123.3684 cents 123.3684 2: 175.4762 cents 175.4762 3: 187.2687 cents 187.2687 4: 214.7955 cents 214.7955 5: 150.1589 cents 150.1589 6: 147.4361 cents 147.4361 7: 201.4961 cents 201.4961
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 123.36844 cents 1: 1 147.43612 cents 1: 1 150.15889 cents 1: 1 175.47620 cents 1: 1 187.26872 cents 1: 1 201.49615 cents 1: 1 214.79549 cents 2: 1 297.59501 cents 2: 1 298.84464 cents 2: 1 324.86458 cents 2: 1 348.93227 cents 2: 1 362.74492 cents 2: 1 364.95438 cents 2: 1 402.06421 cents 3: 1 472.30070 cents 3: 1 486.11336 cents 3: 1 499.09116 cents 3: 1 500.34079 cents 3: 1 512.39050 cents 3: 1 552.22309 cents 3: 1 577.54041 cents 4: 1 622.45959 cents 4: 1 647.77691 cents 4: 1 687.60951 cents 4: 1 699.65921 cents 4: 1 700.90885 cents 4: 1 713.88664 cents 4: 1 727.69930 cents 5: 1 797.93579 cents 5: 1 835.04562 cents 5: 1 837.25508 cents 5: 1 851.06773 cents 5: 1 875.13541 cents 5: 1 901.15536 cents 5: 1 902.40499 cents 6: 1 985.20451 cents 6: 1 998.50385 cents 6: 1 1012.73128 cents 6: 1 1024.52380 cents 6: 1 1049.84111 cents 6: 1 1052.56388 cents 6: 1 1076.63156 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 123.4 298.8 486.1 700.9 851.1 998.5 1200.0 123.4 : 175.5 362.7 577.5 727.7 875.1 1076.6 1200.0 298.8 : 187.3 402.1 552.2 699.7 901.2 1024.5 1200.0 486.1 : 214.8 365.0 512.4 713.9 837.3 1012.7 1200.0 700.9 : 150.2 297.6 499.1 622.5 797.9 985.2 1200.0 851.1 : 147.4 348.9 472.3 647.8 835.0 1049.8 1200.0 998.5 : 201.5 324.9 500.3 687.6 902.4 1052.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 123.3684 .. 214.7955 cents 91.42705 cents 123.36844 cents 2: 297.5950 .. 402.0642 cents 104.46920 cents 82.79952 cents 3: 472.3007 .. 577.5404 cents 105.23971 cents 70.23650 cents 4: 622.4596 .. 727.6993 cents 105.23971 cents 44.91918 cents 5: 797.9358 .. 902.4050 cents 104.46920 cents 70.23650 cents 6: 985.2045 .. 1076.6316 cents 91.42705 cents 82.79952 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 123.36844 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 214.79549 cents Average / Smallest step : 1.389566 Largest / Average step : 1.252974 Largest / Smallest step : 1.741090 Median interval of one step : 175.47620 cents, amount: 1 Least squares average step : 168.78139 cents, oct.: 1181.46975 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : ADEGCBF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 44.91918 cents Scale diversity : 1.549188 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.498107 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 1.24963 cents Number of recognisable fifths : 4, average 700.5161 cents Number of appreciable fifths : 3, average 704.8182 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 103.2196 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 29.7907 c. M:-48.0601 c. Lebeng 10: 1 1 2 2 1 1 2 P D3 S SD: 27.9819 c. M: 58.8446 c. 12: 1 2 2 2 2 1 2 P D3 S SD: 21.1717 c. M:-48.9323 c. Mela Natakapriya, Jazz Minor inverse, Phrygian-Mixolydian, Dorian flat 2, Raga Natabharanam, Motaki, Ahiri Todi 17: 2 2 3 3 2 2 3 SP D3 S SD: 10.6866 c. M:-17.8080 c. 24: 2 4 4 4 3 3 4 P SD: 10.3127 c. M: 23.3684 c. Maqam Nawa 28: 3 4 4 5 4 3 5 SP T3 SD: 9.8227 c. M: 15.1946 c. 29: 3 4 5 5 4 3 5 SP S SD: 8.8636 c. M:-17.8978 c. 31: 3 5 5 5 4 4 5 SP SD: 8.8087 c. M:-17.1125 c. 32: 3 5 5 6 4 4 5 P SD: 9.1208 c. M:-13.9961 c. 36: 4 5 6 6 5 4 6 SP S SD: 8.7820 c. M:-15.5989 c. 37: 4 5 6 7 4 5 6 SP SD: 7.1382 c. M:-12.6047 c. 40: 4 6 6 7 5 5 7 SP SD: 7.2098 c. M: 11.0677 c. 41: 4 6 7 7 5 5 7 SP SD: 5.7028 c. M:-11.4476 c. 48: 5 7 7 9 6 6 8 SP SD: 4.3377 c. M: 11.1134 c. 49: 5 7 8 9 6 6 8 SP SD: 5.2576 c. M:-9.2952 c. 52: 5 8 8 9 7 6 9 SP SD: 5.1743 c. M: 8.6012 c. 55: 6 8 8 10 7 7 9 SP SD: 4.9531 c. M:-7.5407 c. 56: 6 8 9 10 7 7 9 SP SD: 5.6605 c. M:-8.6390 c. 59: 6 9 9 10 8 7 10 SP SD: 4.5746 c. M: 9.3834 c. 60: 6 9 9 11 8 7 10 SP SD: 4.3573 c. M:-8.9323 c. 61: 6 9 10 11 7 8 10 SP SD: 5.0370 c. M:-7.2879 c. 65: 7 9 10 12 8 8 11 SP SD: 3.5853 c. M: 6.1134 c. 72: 7 11 11 13 9 9 12 SP SD: 2.8830 c. M: 6.7018 c. 77: 8 11 12 14 10 9 13 SP SD: 2.8403 c. M:-6.0751 c. 79: 8 12 12 14 10 10 13 SP SD: 2.6483 c. M:-4.9528 c. 84: 9 12 13 15 11 10 14 SP SD: 3.1291 c. M:-6.0751 c. 89: 9 13 14 16 11 11 15 SP SD: 1.3508 c. M: 2.2154 c. 96: 10 14 15 17 12 12 16 SP SD: 1.2026 c. M:-1.6316 c. 168: 17 25 26 30 21 21 28 SP SD: 1.1626 c. M: 1.9399 c. 173: 18 25 27 31 22 21 29 SP SD: 1.0384 c. M:-2.1115 c. 185: 19 27 29 33 23 23 31 SP SD: 0.5941 c. M: 1.3380 c. 245: 25 36 38 44 31 30 41 SP SD: 0.7952 c. M: 1.2154 c. 262: 27 38 41 47 33 32 44 SP SD: 0.5958 c. M: 1.1347 c. 341: 35 50 53 61 43 42 57 SP SD: 0.5145 c. M:-0.9096 c. 351: 36 51 55 63 44 43 59 SP SD: 0.6068 c. M: 1.4087 c. 358: 37 52 56 64 45 44 60 SP SD: 0.3927 c. M:-0.6539 c. 430: 44 63 67 77 54 53 72 SP SD: 0.4141 c. M: 0.5777 c. 447: 46 65 70 80 56 55 75 SP SD: 0.3541 c. M: 0.8581 c. 543: 56 79 85 97 68 67 91 SP SD: 0.3264 c. M: 0.5021 c. 602: 62 88 94 108 75 74 101 SP SD: 0.3266 c. M:-0.7523 c. 630: 65 92 98 113 79 77 106 SP SD: 0.3149 c. M:-0.4411 c. 642: 66 94 100 115 80 79 108 SP SD: 0.2845 c. M: 0.6004 c. 654: 67 96 102 117 82 80 110 SP SD: 0.2590 c. M: 0.4327 c. 719: 74 105 112 129 90 88 121 SP SD: 0.2510 c. M: 0.4510 c. 750: 77 110 117 134 94 92 126 SP SD: 0.1989 c. M:-0.3554 c. 815: 84 119 127 146 102 100 137 SP SD: 0.1701 c. M:-0.3125 c. 839: 86 123 131 150 105 103 141 SP SD: 0.1735 c. M: 0.3649 c. 904: 93 132 141 162 113 111 152 SP SD: 0.1772 c. M: 0.2738 c. 935: 96 137 146 167 117 115 157 SP SD: 0.1715 c. M:-0.3038 c. 983: 101 144 153 176 123 121 165 SP SD: 0.1741 c. M: 0.2537 c. 1000: 103 146 156 179 125 123 168 SP SD: 0.1525 c. M: 0.2677 c. 1012: 104 148 158 181 127 124 170 SP SD: 0.1346 c. M:-0.3157 c. 1101: 113 161 172 197 138 135 185 SP SD: 0.1408 c. M: 0.2077 c. 1108: 114 162 173 198 139 136 186 SP SD: 0.1304 c. M:-0.1958 c. 1197: 123 175 187 214 150 147 201 SP SD: 0.0861 c. M: 0.1570 c. 1654: 170 242 258 296 207 203 278 SP SD: 0.0845 c. M: 0.1967 c. 1750: 180 256 273 313 219 215 294 SP SD: 0.0886 c. M:-0.1268 c. 1847: 190 270 288 331 231 227 310 SP SD: 0.0832 c. M: 0.1361 c. 2012: 207 294 314 360 252 247 338 SP SD: 0.0687 c. M: 0.1136 c. 2101: 216 307 328 376 263 258 353 SP SD: 0.0821 c. M: 0.1297 c. 2180: 224 319 340 390 273 268 366 SP SD: 0.0806 c. M: 0.1749 c. 2197: 226 321 343 393 275 270 369 SP SD: 0.0752 c. M: 0.1351 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 0.5231 cents 3 x x 4 x 5 x 6 S SD: 11.7882 cents 4 x 5 x 6 x 7:8 S SD: 23.0932 cents 5 x 6:7 x 8:9:10 S SD: 21.2948 cents 6 x 7:8:9:10:11:12 S SD: 11.6198 cents 7 x 8:9 x 11:12:14 SD: 25.4242 cents 8:9:10:11:12:13:14:16 S SD: 19.8887 cents 9:10:11:12:14:15:16:18 S SD: 15.1165 cents 10:11:12:13:15:16:18:20 SD: 9.8935 cents 12:13:14:16:18:20:21:24 S SD: 8.3128 cents 14:15:17:19:21:23:25:28 SD: 8.2282 cents 16:17:19:21:24:26:28:32 SD: 5.6584 cents 22:24:26:29:33:36:39:44 SD: 4.4156 cents 27:29:32:36:40:44:48:54 SD: 3.5589 cents 28:30:33:37:42:46:50:56 SD: 2.6148 cents 38:41:45:50:57:62:68:76 SD: 2.5519 cents 42:45:50:56:63:69:75:84 SD: 2.3307 cents 52:56:62:69:78:85:93:104 SD: 1.6525 cents 58:62:69:77:87:95:103:116 SD: 1.5334 cents 64:69:76:85:96:105:114:128 SD: 1.5238 cents 68:73:81:90:102:111:121:136 SD: 0.7334 cents 96:103:114:127:144:157:171:192 SD: 0.4310 cents 164:176:195:217:246:268:292:328 SD: 0.3374 cents 228:245:271:302:342:373:406:456 SD: 0.2891 cents 244:262:290:323:366:399:434:488 SD: 0.2811 cents 287:308:341:380:430:469:511:574 SD: 0.2504 cents 296:318:352:392:444:484:527:592 SD: 0.2489 cents 323:347:384:428:484:528:575:646 SD: 0.2447 cents 324:348:385:429:486:530:577:648 SD: 0.2252 cents 351:377:417:465:526:574:625:702 SD: 0.1880 cents 392:421:466:519:588:641:698:784 SD: 0.1852 cents 419:450:498:555:628:685:746:838 SD: 0.1014 cents 515:553:612:682:772:842:917:1030 SD: 0.0544 cents