Scala analysis: CD05_02_bayati_Egypt
Suite - ‘Abduh al-Ḥāmūlī (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 151.387 cents 151.387245 2: 308.468 cents 308.467992 3: 507.160 cents 507.159599 4: 781.920 cents 781.920489 5: 870.365 cents 870.364934 6: 1009.899 cents 1009.899409 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 190.1006 cents 190.1006 1: 151.3872 cents 151.3872 2: 157.0807 cents 157.0807 3: 198.6916 cents 198.6916 4: 274.7609 cents 274.7609 5: 88.4444 cents 88.4444 6: 139.5345 cents 139.5345 7: 190.1006 cents 190.1006
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 88.44444 cents 1: 1 139.53448 cents 1: 1 151.38725 cents 1: 1 157.08075 cents 1: 1 190.10059 cents 1: 1 198.69161 cents 1: 1 274.76089 cents 2: 1 227.97892 cents 2: 1 308.46799 cents 2: 1 329.63507 cents 2: 1 341.48784 cents 2: 1 355.77235 cents 2: 1 363.20533 cents 2: 1 473.45250 cents 3: 1 418.07951 cents 3: 1 481.02231 cents 3: 1 498.56858 cents 3: 1 502.73981 cents 3: 1 507.15960 cents 3: 1 561.89694 cents 3: 1 630.53324 cents 4: 1 569.46676 cents 4: 1 638.10306 cents 4: 1 692.84040 cents 4: 1 697.26019 cents 4: 1 701.43142 cents 4: 1 718.97769 cents 4: 1 781.92049 cents 5: 1 726.54750 cents 5: 1 836.79467 cents 5: 1 844.22765 cents 5: 1 858.51216 cents 5: 1 870.36493 cents 5: 1 891.53201 cents 5: 1 972.02108 cents 6: 1 925.23911 cents 6: 1 1001.30839 cents 6: 1 1009.89941 cents 6: 1 1042.91925 cents 6: 1 1048.61275 cents 6: 1 1060.46552 cents 6: 1 1111.55556 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 : 151.4 308.5 507.2 781.9 870.4 1009.9 1200.0 151.4 : 157.1 355.8 630.5 719.0 858.5 1048.6 1200.0 308.5 : 198.7 473.5 561.9 701.4 891.5 1042.9 1200.0 507.2 : 274.8 363.2 502.7 692.8 844.2 1001.3 1200.0 781.9 : 88.4 228.0 418.1 569.5 726.5 925.2 1200.0 870.4 : 139.5 329.6 481.0 638.1 836.8 1111.6 1200.0 1009.9: 190.1 341.5 498.6 697.3 972.0 1060.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 88.4444 .. 274.7609 cents 186.31645 cents 88.44444 cents 2: 227.9789 .. 473.4525 cents 245.47358 cents -46.78197 cents 3: 418.0795 .. 630.5332 cents 212.45373 cents -55.37299 cents 4: 569.4668 .. 781.9205 cents 212.45373 cents -61.06649 cents 5: 726.5475 .. 972.0211 cents 245.47358 cents -55.37299 cents 6: 925.2391 .. 1111.5556 cents 186.31645 cents -46.78197 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 88.44444 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 274.76089 cents Average / Smallest step : 1.938263 Largest / Average step : 1.602772 Largest / Smallest step : 3.106593 Median interval of one step : 157.08075 cents, amount: 1 Least squares average step : 173.06218 cents, oct.: 1211.43526 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : CDFGABE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 7.56981 cents Scale diversity : 1.665041 Lumma stability : 0.147407 Lumma impropriety factor : 0.221147 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 : 4.17123 cents Number of recognisable fifths : 4, average 702.6274 cents Number of appreciable fifths : 3, average 697.1773 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 2 0 1 1 N T3 SD: 33.4171 c. M:-75.2224 c. 8: 1 1 1 2 1 1 1 P M ME I SD: 31.2731 c. M: 57.1596 c. 11: 1 2 2 2 1 1 2 N D3 SD: 26.0152 c. M: 42.2963 c. 12: 2 1 2 3 1 1 2 N SD: 23.2664 c. M:-48.6128 c. 14: 2 2 2 3 1 2 2 P T3 SD: 18.0024 c. M:-34.3892 c. 15: 2 2 2 4 1 2 2 N SD: 18.0102 c. M:-30.1006 c. 17: 2 2 3 4 1 2 3 N SD: 16.8970 c. M: 26.1151 c. 19: 2 3 3 4 2 2 3 N SD: 14.4178 c. M: 25.0715 c. 21: 3 2 4 5 1 3 3 N SD: 16.1267 c. M: 22.7537 c. 22: 3 3 3 5 2 3 3 P SD: 16.0712 c. M:-26.4642 c. 23: 3 3 4 5 2 2 4 N SD: 11.2211 c. M: 18.5951 c. 26: 3 4 4 6 2 3 4 N SD: 8.1165 c. M:-14.6089 c. 31: 4 4 5 7 2 4 5 N SD: 8.0364 c. M: 18.7520 c. 38: 5 5 6 9 3 4 6 N SD: 7.0578 c. M:-13.8456 c. 40: 5 5 7 9 3 5 6 N SD: 5.1761 c. M:-10.1006 c. 43: 5 6 7 10 3 5 7 N SD: 5.6244 c. M: 11.8524 c. 48: 6 6 8 11 4 5 8 N SD: 6.4616 c. M: 9.8994 c. 52: 7 6 9 12 4 6 8 N SD: 6.0403 c. M:-10.1512 c. 54: 7 7 9 12 4 6 9 N SD: 4.9108 c. M: 9.8994 c. 55: 7 7 9 13 4 6 9 N SD: 3.7168 c. M: 6.2630 c. 62: 8 8 10 14 5 7 10 N SD: 3.7949 c. M: 7.7269 c. 63: 8 8 11 14 5 7 10 N SD: 3.7894 c. M:-7.1261 c. 69: 9 9 11 16 5 8 11 N SD: 2.8727 c. M:-5.1345 c. 81: 10 11 13 19 6 9 13 N SD: 2.9288 c. M:-3.7091 c. 94: 12 12 16 21 7 11 15 N SD: 2.3007 c. M:-3.4787 c. 95: 12 12 16 22 7 11 15 N SD: 2.2434 c. M: 5.3101 c. 101: 13 13 17 23 7 12 16 N SD: 2.3230 c. M:-3.7315 c. 109: 14 14 18 25 8 13 17 N SD: 1.5701 c. M:-2.9446 c. 120: 15 16 20 27 9 14 19 N SD: 1.5199 c. M:-2.8404 c. 121: 15 16 20 28 9 14 19 N SD: 1.7166 c. M: 2.6269 c. 132: 17 17 22 30 10 15 21 N SD: 1.7045 c. M:-3.1582 c. 135: 17 18 22 31 10 16 21 N SD: 1.6795 c. M:-3.4339 c. 149: 19 19 25 34 11 17 24 N SD: 1.6734 c. M: 3.1880 c. 152: 19 20 25 35 11 18 24 N SD: 1.2034 c. M: 1.9439 c. 175: 22 23 29 40 13 20 28 N SD: 0.7798 c. M: 1.8994 c. 190: 24 25 31 44 14 22 30 N SD: 1.0719 c. M: 1.8964 c. 215: 27 28 36 49 16 25 34 N SD: 0.7324 c. M: 1.4912 c. 229: 29 30 38 52 17 27 36 N SD: 0.9078 c. M:-1.4543 c. 270: 34 35 45 62 20 31 43 N SD: 0.8646 c. M: 1.8013 c. 272: 34 36 45 62 20 32 43 N SD: 0.8347 c. M: 1.3872 c. 284: 36 37 47 65 21 33 45 N SD: 0.2924 c. M:-0.7254 c. 499: 63 65 83 114 37 58 79 N SD: 0.3111 c. M: 0.6524 c. 506: 64 66 84 116 37 59 80 N SD: 0.3625 c. M:-0.6882 c. 525: 66 69 87 120 39 61 83 N SD: 0.3377 c. M: 0.5301 c. 580: 73 76 96 133 43 67 92 N SD: 0.3296 c. M:-0.6695 c. 594: 75 78 98 136 44 69 94 N SD: 0.2880 c. M:-0.6229 c. 611: 77 80 101 140 45 71 97 N SD: 0.2854 c. M: 0.4493 c. 681: 86 89 113 156 50 79 108 N SD: 0.2419 c. M:-0.4584 c. 778: 98 102 129 178 57 91 123 N SD: 0.2646 c. M: 0.4421 c. 783: 99 102 130 179 58 91 124 N SD: 0.2463 c. M: 0.4220 c. 809: 102 106 134 185 60 94 128 N SD: 0.1878 c. M:-0.3396 c. 833: 105 109 138 191 61 97 132 N SD: 0.1784 c. M:-0.3124 c. 942: 119 123 156 216 69 110 149 N SD: 0.2193 c. M: 0.3012 c. 953: 120 125 158 218 70 111 151 N SD: 0.1861 c. M:-0.2906 c. 1022: 129 134 169 234 75 119 162 N SD: 0.1852 c. M:-0.3383 c. 1062: 134 139 176 243 78 124 168 N SD: 0.1703 c. M: 0.3084 c. 1093: 138 143 181 250 81 127 173 N SD: 0.1545 c. M:-0.2664 c. 1117: 141 146 185 256 82 130 177 N SD: 0.1197 c. M: 0.1769 c. 1237: 156 162 205 283 91 144 196 N SD: 0.1084 c. M:-0.1969 c. 1420: 179 186 235 325 105 165 225 N SD: 0.1111 c. M: 0.2303 c. 1427: 180 187 236 327 105 166 226 N SD: 0.0865 c. M:-0.1515 c. 1521: 192 199 252 348 112 177 241 N SD: 0.0890 c. M: 0.1480 c. 1642: 207 215 272 376 121 191 260 N SD: 0.0638 c. M: 0.1083 c. 1926: 243 252 319 441 142 224 305 N SD: 0.0378 c. M:-0.0694 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: 39.9827 cents 3 x x 4 x 5 x 6 S SD: 5.5668 cents 4 x 5 x 6 x 7:8 S SD: 29.7295 cents 5 x 6:7:8 x 9:10 S SD: 16.4897 cents 6 x 7:8:9:10:11:12 S SD: 16.6342 cents 7 x 8:9:11:12:13:14 SD: 22.9301 cents 8:9:10:11 x 13:14:16 SD: 19.2540 cents 9:10:11:12:14:15:16:18 S SD: 8.1279 cents 11:12:13:15:17:18:20:22 SD: 7.8306 cents 14:15:17:19:22:23:25:28 SD: 7.0069 cents 20:22:24:27:31:33:36:40 SD: 4.5163 cents 21:23:25:28:33:35:38:42 SD: 3.6245 cents 30:33:36:40:47:50:54:60 SD: 3.4904 cents 32:35:38:43:50:53:57:64 SD: 2.7034 cents 35:38:42:47:55:58:63:70 SD: 2.1148 cents 47:51:56:63:74:78:84:94 SD: 2.0535 cents 52:57:62:70:82:86:93:104 SD: 1.9390 cents 56:61:67:75:88:93:100:112 SD: 1.5349 cents 67:73:80:90:105:111:120:134 SD: 1.0672 cents 77:84:92:103:121:127:138:154 SD: 0.7826 cents 112:122:134:150:176:185:201:224 SD: 0.7314 cents 133:145:159:178:209:220:238:266 SD: 0.6040 cents 144:157:172:193:226:238:258:288 SD: 0.3723 cents 231:252:276:310:363:382:414:462 SD: 0.3384 cents 240:262:287:322:377:397:430:480 SD: 0.3310 cents 273:298:326:366:429:451:489:546 SD: 0.3042 cents 282:308:337:378:443:466:505:564 SD: 0.2767 cents 303:331:362:406:476:501:543:606 SD: 0.2573 cents 308:336:368:413:484:509:552:616 SD: 0.2013 cents 317:346:379:425:498:524:568:634 SD: 0.1387 cents 461:503:551:618:724:762:826:922 SD: 0.1203 cents 482:526:576:646:757:797:864:964 SD: 0.1058 cents