Scala analysis: Uganda_Endara_02
Endara 2 (Endara), Uganda
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 163.000 cents 163.000000 2: 312.000 cents 312.000000 3: 464.000 cents 464.000000 4: 622.000 cents 622.000000 5: 770.000 cents 770.000000 6: 918.000 cents 918.000000 7: 998.000 cents 998.000000 8: 1249.000 cents 1249.000000 9: 1425.000 cents 1425.000000
SHOW/INTERVAL
0: 176.0000 cents 176.0000 1: 163.0000 cents 163.0000 2: 149.0000 cents 149.0000 3: 152.0000 cents 152.0000 4: 158.0000 cents 158.0000 5: 148.0000 cents 148.0000 6: 148.0000 cents 148.0000 7: 80.0000 cents 80.0000 8: 251.0000 cents 251.0000 9: 176.0000 cents 176.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 80.00000 cents 1: 2 148.00000 cents 1: 1 149.00000 cents 1: 1 152.00000 cents 1: 1 158.00000 cents 1: 1 163.00000 cents 1: 1 176.00000 cents 1: 1 251.00000 cents 2: 1 228.00000 cents 2: 1 296.00000 cents 2: 1 301.00000 cents 2: 1 306.00000 cents 2: 1 310.00000 cents 2: 1 312.00000 cents 2: 1 331.00000 cents 2: 1 339.00000 cents 2: 1 427.00000 cents 3: 1 376.00000 cents 3: 1 454.00000 cents 3: 1 458.00000 cents 3: 1 459.00000 cents 3: 1 464.00000 cents 3: 1 479.00000 cents 3: 1 488.00000 cents 3: 1 507.00000 cents 3: 1 590.00000 cents 4: 1 534.00000 cents 4: 1 606.00000 cents 4: 1 607.00000 cents 4: 1 622.00000 cents 4: 1 627.00000 cents 4: 1 640.00000 cents 4: 1 655.00000 cents 4: 1 670.00000 cents 4: 1 739.00000 cents 5: 1 686.00000 cents 5: 1 755.00000 cents 5: 1 770.00000 cents 5: 1 785.00000 cents 5: 1 798.00000 cents 5: 1 803.00000 cents 5: 1 818.00000 cents 5: 1 819.00000 cents 5: 1 891.00000 cents 6: 1 835.00000 cents 6: 1 918.00000 cents 6: 1 937.00000 cents 6: 1 946.00000 cents 6: 1 961.00000 cents 6: 1 966.00000 cents 6: 1 967.00000 cents 6: 1 971.00000 cents 6: 1 1049.00000 cents 7: 1 998.00000 cents 7: 1 1086.00000 cents 7: 1 1094.00000 cents 7: 1 1113.00000 cents 7: 1 1115.00000 cents 7: 1 1119.00000 cents 7: 1 1124.00000 cents 7: 1 1129.00000 cents 7: 1 1197.00000 cents 8: 1 1174.00000 cents 8: 1 1249.00000 cents 8: 1 1262.00000 cents 8: 1 1267.00000 cents 8: 1 1273.00000 cents 8: 1 1276.00000 cents 8: 2 1277.00000 cents 8: 1 1345.00000 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 8.75000 = 35/4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 163.0 312.0 464.0 622.0 770.0 918.0 998.0 1249.0 1425.0 163.0 : 149.0 301.0 459.0 607.0 755.0 835.0 1086.0 1262.0 1425.0 312.0 : 152.0 310.0 458.0 606.0 686.0 937.0 1113.0 1276.0 1425.0 464.0 : 158.0 306.0 454.0 534.0 785.0 961.0 1124.0 1273.0 1425.0 622.0 : 148.0 296.0 376.0 627.0 803.0 966.0 1115.0 1267.0 1425.0 770.0 : 148.0 228.0 479.0 655.0 818.0 967.0 1119.0 1277.0 1425.0 918.0 : 80.0 331.0 507.0 670.0 819.0 971.0 1129.0 1277.0 1425.0 998.0 : 251.0 427.0 590.0 739.0 891.0 1049.0 1197.0 1345.0 1425.0 1249.0: 176.0 339.0 488.0 640.0 798.0 946.0 1094.0 1174.0 1425.0 1425.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 80.0000 .. 251.0000 cents 171.00000 cents 80.00000 cents 2: 228.0000 .. 427.0000 cents 199.00000 cents -23.00000 cents 3: 376.0000 .. 590.0000 cents 214.00000 cents -51.00000 cents 4: 534.0000 .. 739.0000 cents 205.00000 cents -56.00000 cents 5: 686.0000 .. 891.0000 cents 205.00000 cents -53.00000 cents 6: 835.0000 .. 1049.0000 cents 214.00000 cents -56.00000 cents 7: 998.0000 .. 1197.0000 cents 199.00000 cents -51.00000 cents 8: 1174.0000 .. 1345.0000 cents 171.00000 cents -23.00000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 80.00000 cents, class 1 Average step (divided formal octave): 158.3333 cents Largest one step interval : 251.00000 cents Average / Smallest step : 1.979167 Largest / Average step : 1.585263 Largest / Smallest step : 3.137500 Median interval of one step : 152.00000 cents, amount: 1 Most common interval of one step : 148.00000 cents, amount: 2 Least squares average step : 153.78246 cents, oct.: 1384.04211 cents Scale is not proper Scale is a mode of a 1425-tone equal temperament with octave 1425.000 cents degrees: 163 312 464 622 770 918 998 1249 1425 Least number of segments generator : 713 of 713.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 784 of 784.000 cents and inv. generated superset size: 573 = 564 more = 6366.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEEFGH Step pattern size order : FCDEBBAHG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 16.00000 cents Scale diversity : 1.122738 Lumma stability : 0.112281 Lumma impropriety factor : 0.219649 Rothenberg efficiency : 0.228395 redundancy: 0.771605 Efficiency x scale size : 2.055556 Number of different interval sizes : 70 = 8.75000 / class Number of one step interval sizes : 8 Highest interval variety : 9 Mean interval variety : 8.75000 = 35/4 Median interval variety : 8.5 Lowest interval variety : 8 Smallest interval difference : 1.00000 cents Most common intervals : 148.00000 cents & inv., amount: 2 Most common triad is 0.0 148.000 1277.000 cents, amount: 1 Number of recognisable fifths : 1, average 686.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 2, average 497.5000 cents Formal octave complements present : 1 = 11.1111% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 0 2 1 N T3 SD: 22.1173 c. M: 48.0000 c. 14: 2 1 2 1 2 1 1 2 2 N D3 SD: 27.8000 c. M:-44.9286 c. 16: 2 2 1 2 2 1 1 3 2 N SD: 22.6656 c. M:-44.2500 c. 17: 2 2 2 1 2 2 1 3 2 N SD: 20.3129 c. M:-38.9412 c. 18: 2 2 2 2 2 2 1 3 2 P T3 SD: 18.4689 c. M:-32.0000 c. 22: 3 2 2 3 2 2 1 4 3 N SD: 18.5788 c. M:-31.3182 c. 24: 3 2 3 2 3 2 2 4 3 N SD: 15.8584 c. M: 28.2500 c. 26: 3 3 2 3 3 3 1 5 3 N SD: 14.0024 c. M: 25.5385 c. 27: 3 3 3 3 3 2 2 5 3 N SD: 13.0346 c. M:-21.6667 c. 28: 3 3 3 3 3 3 1 5 4 N SD: 15.2183 c. M: 31.0357 c. 31: 4 3 3 4 3 3 2 5 4 N SD: 12.4084 c. M:-21.5484 c. 33: 4 3 4 3 4 3 2 6 4 N SD: 9.5844 c. M: 17.4545 c. 34: 4 3 4 4 3 4 2 6 4 N SD: 9.5043 c. M: 18.6176 c. 37: 4 4 4 4 4 4 2 6 5 N SD: 7.1320 c. M: 16.5676 c. 41: 5 4 4 5 4 4 3 7 5 N SD: 8.2729 c. M: 14.3415 c. 42: 5 4 5 4 5 4 2 8 5 N SD: 8.7307 c. M: 14.0714 c. 43: 5 4 5 5 4 5 2 8 5 N SD: 7.7046 c. M: 13.7442 c. 46: 5 5 5 5 5 5 2 8 6 N SD: 6.3938 c. M:-11.3478 c. 50: 6 5 5 6 5 5 3 9 6 N SD: 4.9075 c. M: 8.0000 c. 59: 7 6 6 7 6 6 3 11 7 N SD: 4.9303 c. M: 7.7458 c. 64: 7 7 7 7 7 6 4 11 8 N SD: 4.6977 c. M:-9.2969 c. 67: 8 7 7 7 7 7 4 12 8 N SD: 4.8357 c. M:-7.1493 c. 68: 8 7 7 8 7 7 4 12 8 N SD: 5.3505 c. M:-8.3529 c. 70: 8 7 8 8 7 7 4 12 9 N SD: 4.8645 c. M:-9.0714 c. 73: 8 8 8 8 7 8 4 13 9 N SD: 4.1653 c. M: 8.6986 c. 81: 9 9 8 9 9 8 5 14 10 N SD: 4.4193 c. M: 6.5926 c. 87: 10 9 9 10 9 9 5 15 11 N SD: 2.3494 c. M: 5.3793 c. 96: 11 10 10 11 10 10 5 17 12 N SD: 2.1708 c. M: 3.8437 c. 129: 15 13 14 14 14 13 7 23 16 N SD: 2.4286 c. M: 3.8140 c. 137: 16 14 15 15 14 14 8 24 17 N SD: 2.1293 c. M:-4.0657 c. 147: 17 15 16 16 15 16 8 26 18 N SD: 2.0873 c. M: 4.1837 c. 154: 18 16 16 17 16 16 9 27 19 N SD: 1.9692 c. M:-3.5584 c. 160: 18 17 17 18 16 17 9 28 20 N SD: 1.8807 c. M: 4.0625 c. 163: 19 17 17 18 17 17 9 29 20 N SD: 1.5930 c. M:-3.1043 c. 168: 19 18 18 18 18 17 10 29 21 N SD: 2.1366 c. M:-2.8929 c. 169: 19 18 18 19 17 18 9 30 21 N SD: 1.8398 c. M: 3.0296 c. 174: 20 18 19 19 18 18 10 31 21 N SD: 1.7437 c. M:-4.0172 c. 178: 20 19 19 20 18 19 10 31 22 N SD: 1.8526 c. M: 2.8876 c. 181: 21 19 19 20 19 19 10 32 22 N SD: 2.0463 c. M:-3.1326 c. 183: 21 19 20 20 19 19 10 32 23 N SD: 1.6517 c. M:-3.2131 c. 193: 22 20 21 21 20 20 11 34 24 N SD: 1.5630 c. M: 2.4560 c. 200: 23 21 21 22 21 21 11 35 25 N SD: 1.2727 c. M: 2.1250 c. 211: 24 22 23 23 22 22 12 37 26 N SD: 1.0432 c. M:-1.9953 c. 261: 30 27 28 29 27 27 15 46 32 N SD: 0.7448 c. M:-1.2874 c. 270: 31 28 29 30 28 28 15 48 33 N SD: 0.7874 c. M:-1.8333 c. 298: 34 31 32 33 31 31 17 52 37 N SD: 0.7149 c. M:-1.4128 c. 307: 35 32 33 34 32 32 17 54 38 N SD: 0.5646 c. M:-1.0554 c. 357: 41 37 38 40 37 37 20 63 44 N SD: 0.5353 c. M: 0.9748 c. 374: 43 39 40 41 39 39 21 66 46 N SD: 0.6029 c. M: 0.9439 c. 461: 53 48 49 51 48 48 26 81 57 N SD: 0.4261 c. M:-0.8286 c. 470: 54 49 50 52 49 49 26 83 58 N SD: 0.4165 c. M:-0.7234 c. 568: 65 59 61 63 59 59 32 100 70 N SD: 0.3904 c. M: 0.9085 c. 630: 72 66 67 70 65 66 35 111 78 N SD: 0.4202 c. M: 0.9524 c. 648: 74 68 69 72 67 67 37 114 80 N SD: 0.4063 c. M: 0.9861 c. 657: 75 69 70 73 68 68 37 116 81 N SD: 0.3239 c. M: 0.5342 c. 694: 79 73 74 77 72 72 39 122 86 N SD: 0.3394 c. M: 0.7882 c. 731: 84 76 78 81 76 76 41 129 90 N SD: 0.3222 c. M:-0.7483 c. 744: 85 78 79 83 77 77 42 131 92 N SD: 0.3204 c. M: 0.5605 c. 768: 88 80 82 85 80 80 43 135 95 N SD: 0.2771 c. M:-0.4570 c. 857: 98 90 91 95 89 89 48 151 106 N SD: 0.2587 c. M:-0.6021 c. 955: 109 100 102 106 99 99 54 168 118 N SD: 0.2050 c. M: 0.3560 c. 964: 110 101 103 107 100 100 54 170 119 N SD: 0.2038 c. M: 0.3963 c. 1051: 120 110 112 117 109 109 59 185 130 N SD: 0.2146 c. M:-0.3359 c. 1068: 122 112 114 118 111 111 60 188 132 N SD: 0.1789 c. M:-0.3258 c. 1118: 128 117 119 124 116 116 63 197 138 N SD: 0.1550 c. M: 0.2898 c. 1164: 133 122 124 129 121 121 65 205 144 N SD: 0.1670 c. M: 0.2887 c. 1329: 152 139 142 147 138 138 75 234 164 N SD: 0.1568 c. M:-0.2777 c. 1338: 153 140 143 148 139 139 75 236 165 N SD: 0.1528 c. M:-0.3498 c. 1416: 162 148 151 157 147 147 80 249 175 N SD: 0.1406 c. M:-0.3051 c. 1425: 163 149 152 158 148 148 80 251 176 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x x 2 x S SD: 49.0000 cents 2 x x x x 3 x x 4:5 S SD: 60.6018 cents 3 x x 4 x x 5 x 6:7 S SD: 20.0701 cents 4 x 5 x x 6 x 7:8:9 S SD: 23.5368 cents 5 x 6 x 7:8 x 9:10:11 S SD: 16.5542 cents 6 x 7:8 x 9:10:11:12:14 S SD: 17.9284 cents 7:8 x 9:10:11:12 x 14:16 S SD: 13.0370 cents 8:9:10 x 11:12 x 14:16:18 S SD: 20.4636 cents 9:10:11:12:13:14:15:16:19:20 SD: 9.9182 cents 10:11:12:13:14:16:17:18:21:23 SD: 8.2483 cents 14:15:17:18:20:22:24:25:29:32 SD: 6.9662 cents 16:18:19:21:23:25:27:28:33:36 SD: 6.5142 cents 19:21:23:25:27:30:32:34:39:43 SD: 4.5338 cents 20:22:24:26:29:31:34:36:41:46 SD: 4.1627 cents 29:32:35:38:42:45:49:52:60:66 SD: 3.6390 cents 30:33:36:39:43:47:51:53:62:68 SD: 2.3824 cents 39:43:47:51:56:61:66:69:80:89 SD: 2.1992 cents 40:44:48:52:57:62:68:71:82:91 SD: 2.1749 cents 49:54:59:64:70:76:83:87:101:112 SD: 2.0501 cents 50:55:60:65:72:78:85:89:103:114 SD: 1.6018 cents 62:68:74:81:89:97:105:110:128:141 SD: 1.5253 cents 69:76:83:90:99:108:117:123:142:157 SD: 1.4119 cents 71:78:85:93:102:111:121:126:146:162 SD: 1.1697 cents 72:79:86:94:103:112:122:128:148:164 SD: 1.0679 cents 81:89:97:106:116:126:138:144:167:184 SD: 1.0283 cents 90:99:108:118:129:140:153:160:185:205 SD: 0.9667 cents 91:100:109:119:130:142:155:162:187:207 SD: 0.7550 cents 100:110:120:131:143:156:170:178:206:228 SD: 0.7514 cents 111:122:133:145:159:173:189:198:228:253 SD: 0.7295 cents 120:132:144:157:172:187:204:214:247:273 SD: 0.7157 cents 123:135:147:161:176:192:209:219:253:280 SD: 0.5515 cents 141:155:169:184:202:220:240:251:290:321 SD: 0.5280 cents 153:168:183:200:219:239:260:272:315:348 SD: 0.5190 cents 162:178:194:212:232:253:275:288:333:369 SD: 0.4400 cents 173:190:207:226:248:270:294:308:356:394 SD: 0.2992 cents 263:289:315:344:377:410:447:468:541:599 SD: 0.2432 cents 273:300:327:357:391:426:464:486:562:622 SD: 0.1676 cents 446:490:534:583:639:696:758:794:918:1016 SD: 0.1399 cents 486:534:582:635:696:758:826:865:1000:1107 SD: 0.1369 cents 527:579:631:689:755:822:896:938:1084:1200 SD: 0.1327 cents 537:590:643:702:769:838:913:956:1105:1223 SD: 0.1294 cents 576:633:690:753:825:899:979:1025:1185:1312 SD: 0.1219 cents