Scala analysis: Uganda_Xylophone_01
Xylophone 1 (Xylophone), Uganda
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 209.000 cents 209.000000 2: 416.000 cents 416.000000 3: 686.000 cents 686.000000 4: 926.000 cents 926.000000 5: 1144.000 cents 1144.000000 6: 1213.000 cents 1213.000000 7: 1377.000 cents 1377.000000 8: 1530.000 cents 1530.000000 9: 1826.000 cents 1826.000000 10: 2025.000 cents 2025.000000
SHOW/INTERVAL
0: 199.0000 cents 199.0000 1: 209.0000 cents 209.0000 2: 207.0000 cents 207.0000 3: 270.0000 cents 270.0000 4: 240.0000 cents 240.0000 5: 218.0000 cents 218.0000 6: 69.0000 cents 69.0000 7: 164.0000 cents 164.0000 8: 153.0000 cents 153.0000 9: 296.0000 cents 296.0000 10: 199.0000 cents 199.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 69.00000 cents 1: 1 153.00000 cents 1: 1 164.00000 cents 1: 1 199.00000 cents 1: 1 207.00000 cents 1: 1 209.00000 cents 1: 1 218.00000 cents 1: 1 240.00000 cents 1: 1 270.00000 cents 1: 1 296.00000 cents 2: 1 233.00000 cents 2: 1 287.00000 cents 2: 1 317.00000 cents 2: 1 408.00000 cents 2: 1 416.00000 cents 2: 1 449.00000 cents 2: 1 458.00000 cents 2: 1 477.00000 cents 2: 1 495.00000 cents 2: 1 510.00000 cents 3: 1 386.00000 cents 3: 1 451.00000 cents 3: 1 527.00000 cents 3: 1 613.00000 cents 3: 1 615.00000 cents 3: 1 648.00000 cents 3: 1 686.00000 cents 3: 1 704.00000 cents 3: 1 717.00000 cents 3: 1 728.00000 cents 4: 1 604.00000 cents 4: 1 682.00000 cents 4: 1 691.00000 cents 4: 1 797.00000 cents 4: 1 812.00000 cents 4: 1 857.00000 cents 4: 1 885.00000 cents 4: 1 911.00000 cents 4: 1 926.00000 cents 4: 1 935.00000 cents 5: 1 844.00000 cents 5: 1 881.00000 cents 5: 1 900.00000 cents 5: 1 961.00000 cents 5: 1 1004.00000 cents 5: 1 1021.00000 cents 5: 1 1064.00000 cents 5: 1 1125.00000 cents 5: 1 1144.00000 cents 5: 1 1181.00000 cents 6: 1 1090.00000 cents 6: 1 1099.00000 cents 6: 1 1114.00000 cents 6: 1 1140.00000 cents 6: 1 1168.00000 cents 6: 1 1213.00000 cents 6: 1 1228.00000 cents 6: 1 1334.00000 cents 6: 1 1343.00000 cents 6: 1 1421.00000 cents 7: 1 1297.00000 cents 7: 1 1308.00000 cents 7: 1 1321.00000 cents 7: 1 1339.00000 cents 7: 1 1377.00000 cents 7: 1 1410.00000 cents 7: 1 1412.00000 cents 7: 1 1498.00000 cents 7: 1 1574.00000 cents 7: 1 1639.00000 cents 8: 1 1515.00000 cents 8: 1 1530.00000 cents 8: 1 1548.00000 cents 8: 1 1567.00000 cents 8: 1 1576.00000 cents 8: 1 1609.00000 cents 8: 1 1617.00000 cents 8: 1 1708.00000 cents 8: 1 1738.00000 cents 8: 1 1792.00000 cents 9: 1 1729.00000 cents 9: 1 1755.00000 cents 9: 1 1785.00000 cents 9: 1 1807.00000 cents 9: 1 1816.00000 cents 9: 1 1818.00000 cents 9: 1 1826.00000 cents 9: 1 1861.00000 cents 9: 1 1872.00000 cents 9: 1 1956.00000 cents Highest number of different intervals for one interval class: 10 Average number of different intervals per interval class: 10.00000 = 10
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 209.0 416.0 686.0 926.0 1144.0 1213.0 1377.0 1530.0 1826.0 2025.0 209.0 : 207.0 477.0 717.0 935.0 1004.0 1168.0 1321.0 1617.0 1816.0 2025.0 416.0 : 270.0 510.0 728.0 797.0 961.0 1114.0 1410.0 1609.0 1818.0 2025.0 686.0 : 240.0 458.0 527.0 691.0 844.0 1140.0 1339.0 1548.0 1755.0 2025.0 926.0 : 218.0 287.0 451.0 604.0 900.0 1099.0 1308.0 1515.0 1785.0 2025.0 1144.0: 69.0 233.0 386.0 682.0 881.0 1090.0 1297.0 1567.0 1807.0 2025.0 1213.0: 164.0 317.0 613.0 812.0 1021.0 1228.0 1498.0 1738.0 1956.0 2025.0 1377.0: 153.0 449.0 648.0 857.0 1064.0 1334.0 1574.0 1792.0 1861.0 2025.0 1530.0: 296.0 495.0 704.0 911.0 1181.0 1421.0 1639.0 1708.0 1872.0 2025.0 1826.0: 199.0 408.0 615.0 885.0 1125.0 1343.0 1412.0 1576.0 1729.0 2025.0 2025.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 69.0000 .. 296.0000 cents 227.00000 cents 69.00000 cents 2: 233.0000 .. 510.0000 cents 277.00000 cents -63.00000 cents 3: 386.0000 .. 728.0000 cents 342.00000 cents -124.00000 cents 4: 604.0000 .. 935.0000 cents 331.00000 cents -124.00000 cents 5: 844.0000 .. 1181.0000 cents 337.00000 cents -91.00000 cents 6: 1090.0000 .. 1421.0000 cents 331.00000 cents -91.00000 cents 7: 1297.0000 .. 1639.0000 cents 342.00000 cents -124.00000 cents 8: 1515.0000 .. 1792.0000 cents 277.00000 cents -124.00000 cents 9: 1729.0000 .. 1956.0000 cents 227.00000 cents -63.00000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 69.00000 cents, class 1 Average step (divided formal octave): 202.5000 cents Largest one step interval : 296.00000 cents Average / Smallest step : 2.934783 Largest / Average step : 1.461728 Largest / Smallest step : 4.289855 Median interval of one step : 208.00000 cents, amount: 0 Least squares average step : 203.54286 cents, oct.: 2035.42857 cents Scale is not proper Scale is a mode of a 2025-tone equal temperament with octave 2025.000 cents degrees: 209 416 686 926 1144 1213 1377 1530 1826 2025 Least number of segments generator : 1013 of 1013.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1427 of 1427.000 cents and inv. generated superset size: 618 = 608 more = 6180.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGHIJ Step pattern size order : FEIHGACBJD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.00000 cents Scale diversity : 0.267691 Lumma stability : 0.068148 Lumma impropriety factor : 0.397037 Rothenberg efficiency : 0.200000 redundancy: 0.800000 Efficiency x scale size : 2.000000 Number of different interval sizes : 90 = 10.00000 / class Number of one step interval sizes : 10 Highest interval variety : 10 Mean interval variety : 10.00000 = 10 Median interval variety : 10 Lowest interval variety : 10 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 4, average 699.5000 cents Number of appreciable fifths : 2, average 697.5000 cents Number of recognisable fourths : 2, average 502.5000 cents Formal octave complements present : 1 = 10.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
10: 1 1 1 2 1 0 1 1 1 1 N T3 SD: 53.4839 c. M:-90.0000 c. 12: 1 1 2 1 2 0 1 1 2 1 N SD: 43.3989 c. M: 82.2500 c. 13: 1 2 1 2 1 1 1 1 2 1 N D3 SD: 40.9026 c. M: 62.9231 c. 15: 1 2 2 2 1 1 1 1 2 2 N SD: 42.3958 c. M: 74.0000 c. 16: 1 2 2 2 2 0 2 1 2 2 N SD: 46.1804 c. M: 82.4375 c. 18: 2 2 2 2 2 1 1 2 2 2 P D3 S SD: 25.6910 c. M:-45.0000 c. 20: 2 2 3 2 2 1 2 1 3 2 N SD: 18.9644 c. M:-40.5000 c. 25: 3 2 3 3 3 1 2 2 4 2 N SD: 23.4521 c. M: 38.0000 c. 28: 3 3 3 4 3 1 2 2 4 3 N SD: 16.4920 c. M: 35.1071 c. 29: 3 3 4 3 3 1 3 2 4 3 N SD: 15.5293 c. M: 26.7586 c. 30: 3 3 4 4 3 1 2 3 4 3 N SD: 13.8167 c. M: 27.0000 c. 35: 4 3 5 4 4 1 3 3 5 3 N SD: 16.3804 c. M:-32.1429 c. 37: 4 4 5 4 4 1 3 3 5 4 N SD: 13.5351 c. M:-25.4865 c. 38: 4 4 5 4 4 2 3 3 5 4 N SD: 13.6530 c. M: 24.9211 c. 39: 4 4 5 5 4 1 3 3 6 4 N SD: 13.9433 c. M: 27.0000 c. 40: 4 4 5 5 4 2 3 3 6 4 N SD: 15.2257 c. M: 30.2500 c. 41: 4 4 6 5 4 2 3 3 6 4 N SD: 11.5188 c. M:-21.7561 c. 42: 4 5 5 5 5 1 4 3 6 4 N SD: 12.9840 c. M:-21.2143 c. 44: 5 4 6 5 5 1 4 3 7 4 N SD: 10.8324 c. M:-21.1136 c. 48: 5 5 6 6 5 2 4 3 7 5 N SD: 8.9265 c. M:-15.1875 c. 50: 5 5 7 6 5 2 4 4 7 5 N SD: 6.3008 c. M: 11.0000 c. 68: 7 7 9 8 7 3 5 5 10 7 N SD: 7.0286 c. M: 12.3824 c. 69: 7 7 9 8 8 2 6 5 10 7 N SD: 7.6186 c. M: 16.2174 c. 70: 7 7 10 8 8 2 6 5 10 7 N SD: 7.5180 c. M:-13.1429 c. 72: 7 8 9 9 8 2 6 5 11 7 N SD: 7.3198 c. M: 12.1250 c. 74: 8 7 10 9 8 2 6 6 11 7 N SD: 6.3110 c. M:-9.9189 c. 77: 8 8 10 9 8 3 6 6 11 8 N SD: 6.9673 c. M: 13.1558 c. 78: 8 8 10 10 8 3 6 6 11 8 N SD: 5.7579 c. M: 11.0000 c. 79: 8 8 11 9 9 2 7 6 11 8 N SD: 6.3818 c. M:-9.4810 c. 83: 9 8 11 10 9 3 7 6 12 8 N SD: 6.5450 c. M:-13.6627 c. 85: 9 9 11 10 9 3 7 6 13 8 N SD: 5.9414 c. M:-12.8235 c. 87: 9 9 11 11 9 3 7 7 12 9 N SD: 5.8038 c. M: 11.0000 c. 94: 10 9 13 11 10 3 8 7 14 9 N SD: 4.1914 c. M: 6.6915 c. 103: 11 10 14 12 11 4 8 8 15 10 N SD: 3.7205 c. M:-7.2621 c. 115: 12 12 15 14 12 4 9 9 17 11 N SD: 3.8851 c. M:-7.2609 c. 122: 13 12 16 15 13 4 10 9 18 12 N SD: 3.1908 c. M:-6.7787 c. 132: 14 13 18 15 15 4 11 10 19 13 N SD: 4.0113 c. M:-6.5682 c. 135: 14 14 18 16 14 5 11 10 20 13 N SD: 3.0659 c. M:-4.0000 c. 147: 15 15 20 17 16 5 12 11 22 14 N SD: 2.6436 c. M:-6.1429 c. 172: 18 17 23 21 18 6 14 13 25 17 N SD: 2.3781 c. M:-4.0872 c. 175: 18 18 23 21 19 6 14 13 26 17 N SD: 1.7326 c. M: 3.2857 c. 184: 19 19 24 22 20 6 15 14 27 18 N SD: 1.7143 c. M: 3.6630 c. 204: 21 21 27 24 22 7 17 15 30 20 N SD: 1.7306 c. M: 2.8382 c. 225: 23 23 30 27 24 8 18 17 33 22 N SD: 1.3784 c. M: 2.0000 c. 234: 24 24 31 28 25 8 19 18 34 23 N SD: 1.2911 c. M: 2.3462 c. 262: 27 27 35 31 28 9 21 20 38 26 N SD: 1.1569 c. M: 1.9542 c. 322: 33 33 43 38 35 11 26 24 47 32 N SD: 1.2227 c. M: 2.2422 c. 331: 34 34 44 39 36 11 27 25 48 33 N SD: 1.3484 c. M: 2.8882 c. 337: 35 34 45 40 36 12 27 26 49 33 N SD: 1.3248 c. M: 2.3086 c. 347: 36 35 47 41 37 12 28 26 51 34 N SD: 1.2860 c. M:-2.6167 c. 356: 37 36 48 42 38 12 29 27 52 35 N SD: 1.0931 c. M:-2.2725 c. 357: 37 36 48 42 39 12 29 27 52 35 N SD: 1.2226 c. M: 1.9244 c. 359: 37 37 48 42 39 12 29 27 53 35 N SD: 1.1678 c. M:-2.1616 c. 384: 40 39 51 46 41 13 31 29 56 38 N SD: 1.0858 c. M:-2.1250 c. 389: 40 40 52 46 42 13 32 29 57 38 N SD: 1.0910 c. M:-2.4987 c. 396: 41 40 53 47 43 13 32 30 58 39 N SD: 1.0479 c. M: 1.7955 c. 404: 42 41 54 48 43 14 33 30 59 40 N SD: 1.0748 c. M:-1.5198 c. 409: 42 42 55 48 44 14 33 31 60 40 N SD: 0.8581 c. M:-2.2029 c. 437: 45 45 58 52 47 15 35 33 64 43 N SD: 0.6873 c. M:-1.0732 c. 531: 55 54 71 63 57 18 43 40 78 52 N SD: 0.5082 c. M: 0.7627 c. 691: 71 71 92 82 74 24 56 52 101 68 N SD: 0.4971 c. M: 1.0912 c. 765: 79 78 102 91 82 26 62 58 112 75 N SD: 0.4143 c. M: 0.6471 c. 862: 89 88 115 102 93 29 70 65 126 85 N SD: 0.4428 c. M: 0.8190 c. 912: 94 93 122 108 98 31 74 69 133 90 N SD: 0.4746 c. M: 0.8355 c. 929: 96 95 124 110 100 32 75 70 136 91 N SD: 0.5444 c. M:-1.1281 c. 938: 97 96 125 111 101 32 76 71 137 92 N SD: 0.4065 c. M:-0.6578 c. 997: 103 102 133 118 107 34 81 75 146 98 N SD: 0.3552 c. M: 0.5868 c. 1028: 106 105 137 122 111 35 83 78 150 101 N SD: 0.3444 c. M:-0.5691 c. 1087: 112 111 145 129 117 37 88 82 159 107 N SD: 0.3508 c. M: 0.5676 c. 1163: 120 119 155 138 125 40 94 88 170 114 N SD: 0.3282 c. M:-0.6071 c. 1172: 121 120 156 139 126 40 95 89 171 115 N SD: 0.3212 c. M:-0.8447 c. 1202: 124 123 160 143 129 41 97 91 176 118 N SD: 0.3130 c. M: 0.6065 c. 1222: 126 125 163 145 131 42 99 92 179 120 N SD: 0.2750 c. M: 0.5876 c. 1260: 130 129 168 149 136 43 102 95 184 124 N SD: 0.2515 c. M:-0.3929 c. 1384: 143 141 185 164 149 47 112 105 202 136 N SD: 0.2493 c. M: 0.4653 c. 1432: 148 146 191 170 154 49 116 108 209 141 N SD: 0.2432 c. M: 0.3890 c. 1494: 154 153 199 177 161 51 121 113 218 147 N SD: 0.1806 c. M:-0.2711 c. 1763: 182 180 235 209 190 60 143 133 258 173 N SD: 0.1719 c. M:-0.2904 c. 1791: 185 183 239 212 193 61 145 135 262 176 N SD: 0.1687 c. M:-0.3065 c. 1800: 186 184 240 213 194 61 146 136 263 177 N SD: 0.1723 c. M: 0.2500 c. 1841: 190 188 246 218 198 63 149 139 269 181 N SD: 0.1713 c. M:-0.3661 c. 1850: 191 189 247 219 199 63 150 140 270 182 N SD: 0.1639 c. M:-0.3108 c. 1975: 204 202 263 234 213 67 160 149 289 194 N SD: 0.1595 c. M:-0.2785 c. 2025: 209 207 270 240 218 69 164 153 296 199 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 x x 3 x S SD: 38.5297 cents 2 x x 3 x x 4 x 5:6 x S SD: 24.1919 cents 3 x 4 x 5 x 6 x 7:9:10 SD: 24.6713 cents 4 x 5:6:7 x 8:9:10:11:13 SD: 14.1713 cents 5 x 6:7:9 x 10:11:12:14:16 SD: 22.2590 cents 6:7:8:9:10 x 12:13:15:17:19 SD: 15.0233 cents 7:8:9:10:12 x 14:16:17:20:23 SD: 11.1118 cents 8:9:10:12:14:15:16:18:19:23:26 SD: 9.1086 cents 10:11:13:15:17:19:20:22:24:29:32 SD: 7.5668 cents 14:16:18:21:24:27:28:31:34:40:45 SD: 3.8760 cents 22:25:28:33:38:43:44:49:53:63:71 SD: 3.7792 cents 23:26:29:34:39:45:46:51:56:66:74 SD: 3.2594 cents 29:33:37:43:50:56:58:64:70:83:93 SD: 2.9985 cents 30:34:38:45:51:58:60:66:73:86:97 SD: 2.9592 cents 31:35:39:46:53:60:62:69:75:89:100 SD: 2.4552 cents 33:37:42:49:56:64:66:73:80:95:106 SD: 2.1652 cents 37:42:47:55:63:72:75:82:90:106:119 SD: 2.0310 cents 41:46:52:61:70:79:83:91:99:118:132 SD: 1.7297 cents 45:51:57:67:77:87:91:100:109:129:145 SD: 1.4635 cents 47:53:60:70:80:91:95:104:114:135:151 SD: 1.2443 cents 55:62:70:82:94:106:111:122:133:158:177 SD: 1.0992 cents 62:70:79:92:106:120:125:137:150:178:200 SD: 0.7409 cents 78:88:99:116:133:151:157:173:189:224:251 SD: 0.5681 cents 117:132:149:174:200:227:236:259:283:336:377 SD: 0.5495 cents 125:141:159:186:213:242:252:277:302:359:403 SD: 0.5249 cents 126:142:160:187:215:244:254:279:305:362:406 SD: 0.4455 cents 140:158:178:208:239:271:282:310:339:402:451 SD: 0.1773 cents 335:378:426:498:572:649:675:742:811:962:1079 SD: 0.1243 cents 475:536:604:706:811:920:957:1052:1149:1364:1530 SD: 0.1064 cents 553:624:703:822:944:1071:1114:1225:1338:1588:1781 SD: 0.0973 cents 600:677:763:892:1024:1162:1209:1329:1452:1723:1933 SD: 0.0970 cents