Scala analysis: CD03_13_Egypt
Combien je gémissais loin de toi ! - Aziz 'Uthmân (sikah, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 146.993 cents 146.992855 2: 297.543 cents 297.543299 3: 493.724 cents 493.724468 4: 611.701 cents 611.700623 5: 887.833 cents 887.832631 6: 1001.784 cents 1001.783613 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 198.2164 cents 198.2164 1: 146.9929 cents 146.9929 2: 150.5504 cents 150.5504 3: 196.1812 cents 196.1812 4: 117.9762 cents 117.9762 5: 276.1320 cents 276.1320 6: 113.9510 cents 113.9510 7: 198.2164 cents 198.2164
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 113.95098 cents 1: 1 117.97615 cents 1: 1 146.99286 cents 1: 1 150.55044 cents 1: 1 196.18117 cents 1: 1 198.21639 cents 1: 1 276.13201 cents 2: 1 297.54330 cents 2: 1 312.16737 cents 2: 1 314.15732 cents 2: 1 345.20924 cents 2: 1 346.73161 cents 2: 1 390.08299 cents 2: 1 394.10816 cents 3: 1 459.16022 cents 3: 1 464.70777 cents 3: 1 493.72447 cents 3: 1 495.75969 cents 3: 1 508.05915 cents 3: 1 588.29938 cents 3: 1 590.28933 cents 4: 1 609.71067 cents 4: 1 611.70062 cents 4: 1 691.94086 cents 4: 1 704.24031 cents 4: 1 706.27553 cents 4: 1 735.29223 cents 4: 1 740.83978 cents 5: 1 805.89184 cents 5: 1 809.91701 cents 5: 1 853.26839 cents 5: 1 854.79076 cents 5: 1 885.84268 cents 5: 1 887.83263 cents 5: 1 902.45670 cents 6: 1 923.86799 cents 6: 1 1001.78361 cents 6: 1 1003.81883 cents 6: 1 1049.44956 cents 6: 1 1053.00715 cents 6: 1 1082.02385 cents 6: 1 1086.04902 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 : 147.0 297.5 493.7 611.7 887.8 1001.8 1200.0 147.0 : 150.6 346.7 464.7 740.8 854.8 1053.0 1200.0 297.5 : 196.2 314.2 590.3 704.2 902.5 1049.4 1200.0 493.7 : 118.0 394.1 508.1 706.3 853.3 1003.8 1200.0 611.7 : 276.1 390.1 588.3 735.3 885.8 1082.0 1200.0 887.8 : 114.0 312.2 459.2 609.7 805.9 923.9 1200.0 1001.8: 198.2 345.2 495.8 691.9 809.9 1086.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 113.9510 .. 276.1320 cents 162.18103 cents 113.95098 cents 2: 297.5433 .. 394.1082 cents 96.56486 cents 21.41129 cents 3: 459.1602 .. 590.2893 cents 131.12911 cents 65.05206 cents 4: 609.7107 .. 740.8398 cents 131.12911 cents 19.42134 cents 5: 805.8918 .. 902.4567 cents 96.56486 cents 65.05206 cents 6: 923.8680 .. 1086.0490 cents 162.18103 cents 21.41129 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 113.95098 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 276.13201 cents Average / Smallest step : 1.504406 Largest / Average step : 1.610770 Largest / Smallest step : 2.423253 Median interval of one step : 150.55044 cents, amount: 1 Least squares average step : 167.99943 cents, oct.: 1175.99601 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CDEBGAF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 19.42134 cents Scale diversity : 1.519317 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.350208 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 : 1.52237 cents Number of recognisable fifths : 3, average 700.8189 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 129.1392 cents: 2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 38.1925 c. M:-74.0137 c. Lebeng 8: 1 1 1 1 2 1 1 P M ME S SD: 25.4577 c. M:-48.2164 c. 12: 1 2 2 1 3 1 2 P D3 SD: 19.0558 c. M: 46.9929 c. Locrian natural 6, Maqam Tarznauyn 14: 2 2 2 1 3 2 2 P T3 SD: 26.3752 c. M:-45.3138 c. 15: 2 2 2 2 3 2 2 SP M ME S SD: 21.3292 c. M:-38.2164 c. 16: 2 2 3 1 4 1 3 P S SD: 16.8843 c. M:-31.2755 c. 17: 2 2 3 2 4 1 3 N SD: 16.4484 c. M:-29.8144 c. 18: 2 2 3 2 4 2 3 P T3 S SD: 18.7470 c. M: 30.8766 c. 19: 2 3 3 2 4 2 3 SP D3 SD: 14.0321 c. M: 20.6771 c. 23: 3 3 3 3 5 2 4 SP SD: 13.2680 c. M: 24.1593 c. 24: 3 3 4 2 6 2 4 P S SD: 6.9958 c. M:-12.1674 c. Maqam Qarjighar, Bayati Shuri 31: 4 4 5 3 7 3 5 SP S SD: 7.4224 c. M:-12.1341 c. 39: 5 5 6 4 9 4 6 SP S SD: 7.2758 c. M:-13.6010 c. 41: 5 5 7 4 9 4 7 SP S SD: 5.1751 c. M: 9.7839 c. 43: 5 6 7 4 10 4 7 SP SD: 6.0808 c. M:-9.4334 c. 47: 6 6 7 5 11 4 8 SP SD: 6.1167 c. M:-8.8397 c. 49: 6 6 8 5 11 5 8 SP S SD: 3.2269 c. M: 6.2000 c. 65: 8 8 11 6 15 6 11 SP S SD: 2.9309 c. M: 4.8605 c. 73: 9 9 12 7 17 7 12 SP S SD: 1.5597 c. M: 3.4814 c. 80: 10 10 13 8 18 8 13 SP S SD: 2.5624 c. M:-3.2994 c. 92: 11 12 15 9 21 9 15 SP SD: 2.1129 c. M: 3.5146 c. 104: 13 13 17 10 24 10 17 SP S SD: 1.9145 c. M:-3.0071 c. 116: 14 15 19 11 27 11 19 SP SD: 1.9511 c. M:-2.8273 c. 122: 15 15 20 12 28 12 20 SP S SD: 1.7910 c. M: 2.5867 c. 138: 17 17 23 13 32 13 23 SP S SD: 1.7306 c. M: 3.0050 c. 141: 17 18 23 14 32 14 23 SP SD: 1.6963 c. M: 2.7262 c. 145: 18 18 24 14 33 14 24 SP S SD: 1.6066 c. M:-2.8273 c. 153: 19 19 25 15 35 15 25 SP S SD: 1.2824 c. M:-2.1380 c. 165: 20 21 27 16 38 16 27 SP SD: 1.0570 c. M:-1.8528 c. 218: 27 27 36 21 50 21 36 SP S SD: 1.1097 c. M:-1.6884 c. 222: 27 28 36 22 51 21 37 SP SD: 1.2130 c. M: 1.8326 c. 226: 28 28 37 22 52 22 37 SP S SD: 1.0919 c. M:-1.7562 c. 230: 28 29 38 22 53 22 38 SP SD: 0.9951 c. M:-1.9277 c. 231: 28 29 38 23 53 22 38 SP SD: 1.0023 c. M: 1.5383 c. 238: 29 30 39 23 55 23 39 SP SD: 0.9299 c. M: 1.6166 c. 243: 30 30 40 24 56 23 40 SP SD: 0.8368 c. M: 1.2470 c. 253: 31 32 41 25 58 24 42 SP SD: 0.7164 c. M:-1.2709 c. 326: 40 41 53 32 75 31 54 SP SD: 0.5236 c. M: 0.7161 c. 392: 48 49 64 39 90 37 65 SP SD: 0.5352 c. M: 0.8673 c. 408: 50 51 67 40 94 39 67 SP SD: 0.5210 c. M:-1.1576 c. 416: 51 52 68 41 96 39 69 SP SD: 0.4634 c. M: 0.8221 c. 447: 55 56 73 44 103 42 74 SP SD: 0.4779 c. M:-0.7580 c. 465: 57 58 76 46 107 44 77 SP SD: 0.4684 c. M: 0.8212 c. 484: 59 61 79 48 111 46 80 SP SD: 0.4096 c. M: 0.7119 c. 489: 60 61 80 48 113 46 81 SP SD: 0.4871 c. M: 0.6577 c. 491: 60 62 80 48 113 47 81 SP SD: 0.4650 c. M: 0.7027 c. 496: 61 62 81 49 114 47 82 SP SD: 0.2851 c. M:-0.5878 c. 508: 62 64 83 50 117 48 84 SP SD: 0.2618 c. M: 0.5362 c. 545: 67 68 89 54 125 52 90 SP SD: 0.3865 c. M:-0.5301 c. 557: 68 70 91 55 128 53 92 SP SD: 0.2687 c. M: 0.4938 c. 569: 70 71 93 56 131 54 94 SP SD: 0.2670 c. M:-0.6346 c. 581: 71 73 95 57 134 55 96 SP SD: 0.2240 c. M: 0.3491 c. 661: 81 83 108 65 152 63 109 SP SD: 0.1572 c. M:-0.3344 c. 987: 121 124 161 97 227 94 163 SP SD: 0.1872 c. M:-0.3290 c. 1004: 123 126 164 99 231 95 166 SP SD: 0.1513 c. M:-0.2516 c. 1077: 132 135 176 106 248 102 178 SP SD: 0.1036 c. M:-0.1897 c. 1242: 152 156 203 122 286 118 205 SP SD: 0.0933 c. M:-0.1488 c. 1634: 200 205 267 161 376 155 270 SP SD: 0.1073 c. M: 0.2116 c. 1665: 204 209 272 164 383 158 275 SP SD: 0.0935 c. M:-0.1913 c. 1738: 213 218 284 171 400 165 287 SP SD: 0.0555 c. M:-0.0845 c. 2360: 289 296 386 232 543 224 390 SP SD: 0.0514 c. M: 0.0887 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: 45.1272 cents 3 x x 4 x 5 x 6 S SD: 1.8480 cents 4 x 5 x 6 x 7:8 S SD: 32.7034 cents 5 x 6 x 7:8:9:10 S SD: 16.6460 cents 6 x 7:8:9:10:11:12 S SD: 17.7804 cents 7 x 8:9:10:12 x 14 S SD: 19.9287 cents 8:9:10:11 x 13:14:16 SD: 22.2116 cents 9:10:11:12:13:15:16:18 SD: 9.5023 cents 10:11:12:13:14:17:18:20 SD: 9.3287 cents 12:13:14:16:17:20:21:24 SD: 6.7072 cents 21:23:25:28:30:35:37:42 SD: 3.6234 cents 31:34:37:41:44:52:55:62 SD: 3.2275 cents 33:36:39:44:47:55:59:66 SD: 1.6331 cents 54:59:64:72:77:90:96:108 SD: 1.5732 cents 64:70:76:85:91:107:114:128 SD: 1.3324 cents 69:75:82:92:98:115:123:138 SD: 1.0941 cents 91:99:108:121:130:152:162:182 SD: 0.9806 cents 101:110:120:134:144:169:180:202 SD: 0.8866 cents 112:122:133:149:159:187:200:224 SD: 0.7984 cents 124:135:147:165:177:207:221:248 SD: 0.7963 cents 133:145:158:177:189:222:237:266 SD: 0.6813 cents 134:146:159:178:191:224:239:268 SD: 0.5581 cents 149:162:177:198:212:249:266:298 SD: 0.5056 cents 170:185:202:226:242:284:303:340 SD: 0.2882 cents 203:221:241:270:289:339:362:406 SD: 0.0925 cents 597:650:709:794:850:997:1065:1194 SD: 0.0571 cents