Scala analysis: CD08_05_Egypt
Le premier salut - Mustafa Fahreddin Dede (saba, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 155.843 cents 155.843172 2: 275.316 cents 275.316087 3: 480.965 cents 480.965379 4: 656.653 cents 656.653422 5: 778.659 cents 778.658961 6: 993.519 cents 993.519046 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 206.4810 cents 206.4810 1: 155.8432 cents 155.8432 2: 119.4729 cents 119.4729 3: 205.6493 cents 205.6493 4: 175.6880 cents 175.6880 5: 122.0055 cents 122.0055 6: 214.8601 cents 214.8601 7: 206.4810 cents 206.4810
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 119.47292 cents 1: 1 122.00554 cents 1: 1 155.84317 cents 1: 1 175.68804 cents 1: 1 205.64929 cents 1: 1 206.48095 cents 1: 1 214.86008 cents 2: 1 275.31609 cents 2: 1 297.69358 cents 2: 1 325.12221 cents 2: 1 336.86562 cents 2: 1 362.32413 cents 2: 1 381.33733 cents 2: 1 421.34104 cents 3: 1 480.96538 cents 3: 1 481.79704 cents 3: 1 500.81025 cents 3: 1 503.34287 cents 3: 1 512.55367 cents 3: 1 543.34658 cents 3: 1 577.18421 cents 4: 1 622.81579 cents 4: 1 656.65342 cents 4: 1 687.44633 cents 4: 1 696.65713 cents 4: 1 699.18975 cents 4: 1 718.20296 cents 4: 1 719.03462 cents 5: 1 778.65896 cents 5: 1 818.66267 cents 5: 1 837.67587 cents 5: 1 863.13438 cents 5: 1 874.87779 cents 5: 1 902.30642 cents 5: 1 924.68391 cents 6: 1 985.13992 cents 6: 1 993.51905 cents 6: 1 994.35071 cents 6: 1 1024.31196 cents 6: 1 1044.15683 cents 6: 1 1077.99446 cents 6: 1 1080.52708 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 : 155.8 275.3 481.0 656.7 778.7 993.5 1200.0 155.8 : 119.5 325.1 500.8 622.8 837.7 1044.2 1200.0 275.3 : 205.6 381.3 503.3 718.2 924.7 1080.5 1200.0 481.0 : 175.7 297.7 512.6 719.0 874.9 994.4 1200.0 656.7 : 122.0 336.9 543.3 699.2 818.7 1024.3 1200.0 778.7 : 214.9 421.3 577.2 696.7 902.3 1078.0 1200.0 993.5 : 206.5 362.3 481.8 687.4 863.1 985.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 119.4729 .. 214.8601 cents 95.38717 cents 119.47292 cents 2: 275.3161 .. 421.3410 cents 146.02495 cents 60.45600 cents 3: 480.9654 .. 577.1842 cents 96.21883 cents 59.62434 cents 4: 622.8158 .. 719.0346 cents 96.21883 cents 45.63158 cents 5: 778.6590 .. 924.6839 cents 146.02495 cents 59.62434 cents 6: 985.1399 .. 1080.5271 cents 95.38717 cents 60.45600 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 119.47292 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 214.86008 cents Average / Smallest step : 1.434874 Largest / Average step : 1.253350 Largest / Smallest step : 1.798400 Median interval of one step : 175.68804 cents, amount: 1 Least squares average step : 164.50282 cents, oct.: 1151.51971 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CAEDBGF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 45.63158 cents Scale diversity : 1.606718 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.437282 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 : 0.83166 cents Number of recognisable fifths : 5, average 704.1062 cents Number of appreciable fifths : 2, average 697.9234 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 44.9569 c. M:-78.4839 c. Lebeng 8: 1 1 1 1 1 2 1 P M ME S SD: 35.5032 c. M: 56.6534 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 32.7369 c. M: 60.1857 c. Pseudo Pelog, Pelogic-7, Antiionian 10: 1 1 2 1 1 2 2 P D3 S SD: 38.3721 c. M: 58.6590 c. 11: 1 1 2 2 1 2 2 P D3 S SD: 33.3947 c. M: 57.1343 c. 12: 2 1 2 2 1 2 2 P M ME S SD: 27.5105 c. M:-44.1568 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 13: 2 1 2 2 1 3 2 N T3 SD: 22.0778 c. M: 40.1974 c. 14: 2 1 3 2 1 3 2 P T3 SD: 23.3266 c. M:-35.0524 c. 15: 2 1 3 2 2 2 3 P D3 SD: 21.1178 c. M: 35.3161 c. 17: 2 2 3 2 2 3 3 SP D3 S SD: 11.5049 c. M: 21.3593 c. Safi al-Din's maqam Husaini 22: 3 2 4 3 2 4 4 P SD: 8.7288 c. M: 15.0226 c. Gandhaara Grama (Sarngadeva der. ma-grama) 29: 4 3 5 4 3 5 5 SP SD: 9.4763 c. M:-15.5863 c. 31: 4 3 5 5 3 6 5 SP SD: 8.2780 c. M: 16.4492 c. 34: 4 4 6 5 3 6 6 SP SD: 9.7431 c. M: 14.6667 c. 35: 5 3 6 5 4 6 6 SP SD: 7.2805 c. M:-15.5854 c. 36: 5 3 6 6 3 7 6 P SD: 9.8742 c. M: 14.2987 c. 37: 5 3 7 5 4 7 6 SP SD: 8.6791 c. M: 15.8566 c. 38: 5 4 6 6 4 6 7 SP SD: 8.5183 c. M: 14.5717 c. 40: 5 4 7 6 4 7 7 SP SD: 3.5600 c. M: 5.8432 c. 60: 8 6 10 9 6 11 10 SP SD: 3.6869 c. M:-6.4810 c. 62: 8 6 11 9 6 11 11 SP SD: 3.6162 c. M: 6.4223 c. 69: 9 7 12 10 7 12 12 SP SD: 3.4498 c. M:-5.9911 c. 75: 10 7 13 11 8 13 13 SP SD: 2.9391 c. M:-5.3410 c. 77: 10 8 13 11 8 14 13 SP SD: 2.7136 c. M:-5.2034 c. 82: 11 8 14 12 8 15 14 SP SD: 2.7534 c. M:-5.1324 c. 88: 11 9 15 13 9 16 15 SP SD: 3.0377 c. M: 5.8432 c. 92: 12 9 16 13 10 16 16 SP SD: 2.5551 c. M: 4.4795 c. 93: 12 9 16 14 9 17 16 SP SD: 2.7883 c. M: 4.4654 c. 97: 13 9 17 14 10 17 17 SP SD: 2.7560 c. M:-4.9816 c. 99: 13 10 17 14 10 18 17 SP SD: 2.4834 c. M:-3.8831 c. 100: 13 10 17 15 10 18 17 SP SD: 1.7145 c. M:-3.3466 c. 117: 15 12 20 17 12 21 20 SP SD: 1.2145 c. M: 1.9970 c. 162: 21 16 28 24 16 29 28 SP SD: 1.2140 c. M:-2.6058 c. 170: 22 17 29 25 17 31 29 SP SD: 1.1469 c. M: 2.1884 c. 179: 23 18 31 26 18 32 31 SP SD: 1.1213 c. M:-1.7162 c. 192: 25 19 33 28 20 34 33 SP SD: 1.0195 c. M:-2.5910 c. 199: 26 20 34 29 20 36 34 SP SD: 1.2176 c. M:-2.0708 c. 205: 27 20 35 30 21 37 35 SP SD: 1.1654 c. M:-2.2056 c. 210: 27 21 36 31 21 38 36 SP SD: 1.0382 c. M: 1.5575 c. 214: 28 21 37 31 22 38 37 SP SD: 0.8643 c. M:-1.2776 c. 239: 31 24 41 35 24 43 41 SP SD: 0.7137 c. M:-1.0872 c. 245: 32 24 42 36 25 44 42 SP SD: 0.7068 c. M: 1.0304 c. 262: 34 26 45 38 27 47 45 SP SD: 0.6841 c. M: 1.6916 c. 302: 39 30 52 44 31 54 52 SP SD: 0.6758 c. M: 1.1439 c. 314: 41 31 54 46 32 56 54 SP SD: 0.5902 c. M:-0.9589 c. 331: 43 33 57 48 34 59 57 SP SD: 0.5838 c. M:-1.2098 c. 362: 47 36 62 53 37 65 62 SP SD: 0.4224 c. M:-0.9561 c. 384: 50 38 66 56 39 69 66 SP SD: 0.3480 c. M: 0.5340 c. 424: 55 42 73 62 43 76 73 SP SD: 0.3437 c. M: 0.7878 c. 484: 63 48 83 71 49 87 83 SP SD: 0.3343 c. M:-0.6958 c. 501: 65 50 86 73 51 90 86 SP SD: 0.3134 c. M:-0.4929 c. 541: 70 54 93 79 55 97 93 SP SD: 0.2914 c. M: 0.5751 c. 649: 84 65 111 95 66 116 112 SP SD: 0.3488 c. M: 0.6069 c. 663: 86 66 114 97 67 119 114 SP SD: 0.2936 c. M:-0.4826 c. 698: 91 69 120 102 71 125 120 SP SD: 0.3045 c. M:-0.6038 c. 709: 92 71 121 104 72 127 122 SP SD: 0.2483 c. M:-0.5654 c. 749: 97 75 128 110 76 134 129 SP SD: 0.2525 c. M: 0.4360 c. 784: 102 78 134 115 80 140 135 SP SD: 0.2514 c. M:-0.4227 c. 786: 102 78 135 115 80 141 135 SP SD: 0.2512 c. M: 0.5069 c. 815: 106 81 140 119 83 146 140 SP SD: 0.2639 c. M:-0.5070 c. 841: 109 84 144 123 86 150 145 SP SD: 0.2789 c. M: 0.4156 c. 846: 110 84 145 124 86 151 146 SP SD: 0.2540 c. M: 0.6112 c. 854: 111 85 146 125 87 153 147 SP SD: 0.2495 c. M: 0.4473 c. 855: 111 85 147 125 87 153 147 SP SD: 0.2370 c. M:-0.4381 c. 885: 115 88 152 129 90 159 152 SP SD: 0.2877 c. M:-0.3906 c. 888: 115 89 152 130 90 159 153 SP SD: 0.2672 c. M: 0.4378 c. 894: 116 89 153 131 91 160 154 SP SD: 0.2309 c. M: 0.4285 c. 923: 120 92 158 135 94 165 159 SP SD: 0.1713 c. M:-0.3069 c. 963: 125 96 165 141 98 172 166 SP SD: 0.1596 c. M: 0.3726 c. 1076: 140 107 184 158 109 193 185 SP SD: 0.2135 c. M: 0.2962 c. 1080: 140 108 185 158 110 193 186 SP SD: 0.1885 c. M: 0.2876 c. 1085: 141 108 186 159 110 194 187 SP SD: 0.1874 c. M: 0.3393 c. 1093: 142 109 187 160 111 196 188 SP SD: 0.1501 c. M:-0.2557 c. 1133: 147 113 194 166 115 203 195 SP SD: 0.1073 c. M: 0.1947 c. 1208: 157 120 207 177 123 216 208 SP SD: 0.1246 c. M: 0.1707 c. 1285: 167 128 220 188 131 230 221 SP SD: 0.1233 c. M:-0.1737 c. 1325: 172 132 227 194 135 237 228 SP SD: 0.0884 c. M:-0.2090 c. 1447: 188 144 248 212 147 259 249 SP SD: 0.0679 c. M:-0.1538 c. 1564: 203 156 268 229 159 280 269 SP SD: 0.1020 c. M:-0.1315 c. 1709: 222 170 293 250 174 306 294 SP SD: 0.0617 c. M: 0.1291 c. 1988: 258 198 341 291 202 356 342 SP SD: 0.0758 c. M:-0.1211 c. 2250: 292 224 386 329 229 403 387 SP SD: 0.0901 c. M: 0.1201 c. 2301: 299 229 394 337 234 412 396 SP SD: 0.0705 c. M: 0.1310 c. 2341: 304 233 401 343 238 419 403 SP SD: 0.0692 c. M: 0.1452 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: 22.6508 cents 3 x x 4 x 5 x 6 S SD: 35.6903 cents 4 x x 5:6 x 7:8 S SD: 26.9501 cents 5 x 6 x 7:8:9:10 S SD: 18.8994 cents 6 x 7:8:9 x 11:12 SD: 14.8779 cents 7 x 8:9:10:11:12:14 S SD: 16.0288 cents 8:9 x 11:12:13:14:16 SD: 19.5431 cents 9:10:11:12:13:14:16:18 S SD: 11.7728 cents 10:11:12:13:15:16:18:20 SD: 11.3250 cents 11:12:13:15:16:17:20:22 SD: 10.8463 cents 12:13:14:16:18:19:21:24 SD: 8.5820 cents 13:14:15:17:19:20:23:26 SD: 7.7019 cents 18:20:21:24:26:28:32:36 S SD: 5.8299 cents 19:21:22:25:28:30:34:38 SD: 5.2599 cents 22:24:26:29:32:34:39:44 SD: 4.3392 cents 28:31:33:37:41:44:50:56 SD: 3.5966 cents 30:33:35:40:44:47:53:60 SD: 3.3761 cents 34:37:40:45:50:53:60:68 SD: 3.1043 cents 35:38:41:46:51:55:62:70 SD: 2.4593 cents 41:45:48:54:60:64:73:82 SD: 1.7187 cents 53:58:62:70:77:83:94:106 SD: 1.5772 cents 63:69:74:83:92:99:112:126 SD: 1.0047 cents 93:102:109:123:136:146:165:186 SD: 0.8253 cents 106:116:124:140:155:166:188:212 SD: 0.6855 cents 128:140:150:169:187:201:227:256 SD: 0.4677 cents 169:185:198:223:247:265:300:338 SD: 0.2429 cents 319:349:374:421:466:500:566:638 SD: 0.1923 cents 412:451:483:544:602:646:731:824 SD: 0.1636 cents 477:522:559:630:697:748:847:954 SD: 0.1624 cents 488:534:572:644:713:765:866:976 SD: 0.1547 cents 521:570:611:688:761:817:925:1042 SD: 0.1527 cents 562:615:659:742:821:881:998:1124 SD: 0.1377 cents 574:628:673:758:839:900:1019:1148 SD: 0.0991 cents