Scala analysis: Uganda_Royal_Horns
Royal Horns (Horns), Uganda
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 179.000 cents 179.000000 2: 213.000 cents 213.000000 3: 441.000 cents 441.000000 4: 643.000 cents 643.000000 5: 958.000 cents 958.000000 6: 1162.000 cents 1162.000000 7: 1373.000 cents 1373.000000 8: 1456.000 cents 1456.000000
SHOW/INTERVAL
0: 83.0000 cents 83.0000 1: 179.0000 cents 179.0000 2: 34.0000 cents 34.0000 3: 228.0000 cents 228.0000 4: 202.0000 cents 202.0000 5: 315.0000 cents 315.0000 6: 204.0000 cents 204.0000 7: 211.0000 cents 211.0000 8: 83.0000 cents 83.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 34.00000 cents 1: 1 83.00000 cents 1: 1 179.00000 cents 1: 1 202.00000 cents 1: 1 204.00000 cents 1: 1 211.00000 cents 1: 1 228.00000 cents 1: 1 315.00000 cents 2: 1 213.00000 cents 2: 2 262.00000 cents 2: 1 294.00000 cents 2: 1 415.00000 cents 2: 1 430.00000 cents 2: 1 517.00000 cents 2: 1 519.00000 cents 3: 1 296.00000 cents 3: 1 441.00000 cents 3: 1 464.00000 cents 3: 1 473.00000 cents 3: 1 498.00000 cents 3: 1 721.00000 cents 3: 1 730.00000 cents 3: 1 745.00000 cents 4: 1 507.00000 cents 4: 1 524.00000 cents 4: 1 643.00000 cents 4: 1 677.00000 cents 4: 1 779.00000 cents 4: 1 813.00000 cents 4: 1 932.00000 cents 4: 1 949.00000 cents 5: 1 711.00000 cents 5: 1 726.00000 cents 5: 1 735.00000 cents 5: 1 958.00000 cents 5: 1 983.00000 cents 5: 1 992.00000 cents 5: 1 1015.00000 cents 5: 1 1160.00000 cents 6: 1 937.00000 cents 6: 1 939.00000 cents 6: 1 1026.00000 cents 6: 1 1041.00000 cents 6: 1 1162.00000 cents 6: 2 1194.00000 cents 6: 1 1243.00000 cents 7: 1 1141.00000 cents 7: 1 1228.00000 cents 7: 1 1245.00000 cents 7: 1 1252.00000 cents 7: 1 1254.00000 cents 7: 1 1277.00000 cents 7: 1 1373.00000 cents 7: 1 1422.00000 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 7.71429 = 54/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 179.0 213.0 441.0 643.0 958.0 1162.0 1373.0 1456.0 179.0 : 34.0 262.0 464.0 779.0 983.0 1194.0 1277.0 1456.0 213.0 : 228.0 430.0 745.0 949.0 1160.0 1243.0 1422.0 1456.0 441.0 : 202.0 517.0 721.0 932.0 1015.0 1194.0 1228.0 1456.0 643.0 : 315.0 519.0 730.0 813.0 992.0 1026.0 1254.0 1456.0 958.0 : 204.0 415.0 498.0 677.0 711.0 939.0 1141.0 1456.0 1162.0: 211.0 294.0 473.0 507.0 735.0 937.0 1252.0 1456.0 1373.0: 83.0 262.0 296.0 524.0 726.0 1041.0 1245.0 1456.0 1456.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 34.0000 .. 315.0000 cents 281.00000 cents 34.00000 cents 2: 213.0000 .. 519.0000 cents 306.00000 cents -102.00000 cents 3: 296.0000 .. 745.0000 cents 449.00000 cents -223.00000 cents 4: 507.0000 .. 949.0000 cents 442.00000 cents -238.00000 cents 5: 711.0000 .. 1160.0000 cents 449.00000 cents -238.00000 cents 6: 937.0000 .. 1243.0000 cents 306.00000 cents -223.00000 cents 7: 1141.0000 .. 1422.0000 cents 281.00000 cents -102.00000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 34.00000 cents, class 1 Average step (divided formal octave): 182.0000 cents Largest one step interval : 315.00000 cents Average / Smallest step : 5.352941 Largest / Average step : 1.730769 Largest / Smallest step : 9.264706 Median interval of one step : 203.00000 cents, amount: 0 Least squares average step : 183.92647 cents, oct.: 1471.41176 cents Scale is not proper Scale is a mode of a 1456-tone equal temperament with octave 1456.000 cents degrees: 179 213 441 643 958 1162 1373 1456 Least number of segments generator : 729 of 729.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1045 of 1045.000 cents and inv. generated superset size: 566 = 558 more = 7075.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGH Step pattern size order : CAGDHEFB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.00000 cents Scale diversity : 1.119576 Lumma stability : 0.046703 Lumma impropriety factor : 0.707418 Rothenberg efficiency : 0.258929 redundancy: 0.741071 Efficiency x scale size : 2.071429 Number of different interval sizes : 54 = 7.71429 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 7.71429 = 54/7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 2.00000 cents Most common intervals : 262.00000 cents & inv., amount: 2 Most common triad is 0.0 262.000 1194.000 cents, amount: 1 Number of recognisable fifths : 1, average 711.0000 cents Number of recognisable fourths : 2, average 502.5000 cents Formal octave complements present : 1 = 12.5000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
8: 1 0 1 1 2 1 1 1 N T3 SD: 64.5300 c. M: 99.0000 c. 9: 1 0 2 1 2 1 1 1 N SD: 38.9592 c. M: 78.7778 c. 13: 2 0 2 2 3 1 2 1 N SD: 31.9002 c. M:-50.0000 c. 14: 2 0 2 2 3 2 2 1 N SD: 19.6882 c. M:-29.0000 c. 20: 2 1 3 3 4 3 3 1 N SD: 13.9537 c. M: 33.4000 c. 23: 3 0 4 3 5 3 4 1 N SD: 14.6717 c. M: 23.0870 c. 26: 3 1 4 4 5 4 4 1 N SD: 16.1748 c. M:-29.0000 c. 27: 3 1 4 4 6 3 4 2 N SD: 16.0640 c. M: 29.5556 c. 28: 3 1 4 4 6 4 4 2 N SD: 18.6715 c. M: 25.0000 c. 29: 4 0 5 4 6 4 4 2 N SD: 12.2919 c. M:-21.8276 c. 30: 4 0 5 4 7 4 4 2 N SD: 11.8024 c. M: 18.8667 c. 32: 4 1 5 4 7 5 4 2 N SD: 10.9687 c. M:-21.0000 c. 33: 4 1 5 5 7 4 5 2 N SD: 10.1658 c. M:-18.8182 c. 34: 4 1 5 5 7 5 5 2 N SD: 8.0349 c. M: 15.8824 c. 39: 5 1 6 5 9 5 6 2 N SD: 8.2907 c. M:-12.6667 c. 40: 5 1 6 6 8 6 6 2 N SD: 7.5090 c. M:-12.2000 c. 46: 6 1 7 6 10 7 6 3 N SD: 8.6139 c. M: 11.9565 c. 47: 6 1 7 7 10 7 6 3 N SD: 7.9636 c. M:-15.1915 c. 49: 6 1 8 7 10 7 7 3 N SD: 5.7136 c. M:-10.7143 c. 50: 6 1 8 7 11 7 7 3 N SD: 4.4867 c. M: 9.1600 c. 55: 7 1 9 7 12 8 8 3 N SD: 5.3271 c. M:-9.0364 c. 56: 7 1 9 8 12 8 8 3 N SD: 4.8606 c. M:-8.0000 c. 70: 9 1 11 10 15 10 10 4 N SD: 3.9122 c. M:-8.2000 c. 73: 9 2 11 10 16 10 11 4 N SD: 3.6437 c. M:-6.3973 c. 82: 10 2 13 11 18 11 12 5 N SD: 3.8822 c. M: 7.8537 c. 84: 10 2 13 12 18 12 12 5 N SD: 4.3922 c. M: 7.6667 c. 88: 11 2 14 12 19 12 13 5 N SD: 2.9298 c. M:-5.7273 c. 90: 11 2 14 13 19 13 13 5 N SD: 2.9045 c. M: 4.2000 c. 108: 13 3 17 15 23 15 16 6 N SD: 2.8542 c. M:-4.1111 c. 109: 13 3 17 15 24 15 16 6 N SD: 2.6175 c. M: 5.3486 c. 122: 15 3 19 17 26 17 18 7 N SD: 2.1099 c. M: 4.3607 c. 123: 15 3 19 17 27 17 18 7 N SD: 1.9338 c. M: 3.7805 c. 129: 16 3 20 18 28 18 19 7 N SD: 1.7156 c. M:-3.9922 c. 138: 17 3 22 19 30 19 20 8 N SD: 1.4763 c. M:-2.1304 c. 172: 21 4 27 24 37 24 25 10 N SD: 1.3316 c. M: 2.2791 c. 179: 22 4 28 25 39 25 26 10 N SD: 1.2750 c. M:-1.8212 c. 211: 26 5 33 29 46 29 31 12 N SD: 1.2134 c. M: 2.7204 c. 228: 28 5 36 32 49 32 33 13 N SD: 1.0780 c. M: 2.2632 c. 258: 32 6 40 36 56 36 37 15 N SD: 1.1366 c. M: 1.6512 c. 261: 32 6 41 36 57 36 38 15 N SD: 1.0614 c. M: 1.6628 c. 267: 33 6 42 37 58 37 39 15 N SD: 0.9022 c. M:-1.7603 c. 301: 37 7 47 42 65 42 44 17 N SD: 0.5699 c. M: 1.0698 c. 383: 47 9 60 53 83 54 55 22 N SD: 0.5529 c. M:-1.2794 c. 416: 51 10 65 58 90 58 60 24 N SD: 0.6614 c. M:-1.0000 c. 439: 54 10 69 61 95 61 64 25 N SD: 0.5477 c. M: 1.1800 c. 471: 58 11 74 65 102 66 68 27 N SD: 0.4616 c. M:-1.0552 c. 505: 62 12 79 70 109 71 73 29 N SD: 0.3882 c. M: 0.7881 c. 561: 69 13 88 78 121 79 81 32 N SD: 0.3758 c. M:-0.7237 c. 594: 73 14 93 82 129 83 86 34 N SD: 0.3611 c. M: 0.7912 c. 600: 74 14 94 83 130 84 87 34 N SD: 0.4645 c. M:-0.6533 c. 614: 75 15 96 85 133 86 89 35 N SD: 0.4530 c. M: 1.1498 c. 634: 78 15 99 88 137 89 92 36 N SD: 0.2700 c. M:-0.5773 c. 684: 84 16 107 95 148 96 99 39 N SD: 0.1885 c. M: 0.3684 c. 772: 95 18 121 107 167 108 112 44 N SD: 0.1670 c. M:-0.3264 c. 1155: 142 27 181 160 250 162 167 66 N SD: 0.1485 c. M:-0.2788 c. 1277: 157 30 200 177 276 179 185 73 N SD: 0.1787 c. M: 0.2553 c. 1284: 158 30 201 178 278 180 186 73 N SD: 0.1784 c. M:-0.3053 c. 1318: 162 31 206 183 285 185 191 75 N SD: 0.1546 c. M: 0.2231 c. 1456: 179 34 228 202 315 204 211 83 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x 2 x x S SD: 38.0000 cents 2 x x x 3 x 4 x 5 S SD: 49.3304 cents 3 x x 4 x 5:6 x 7 S SD: 25.2974 cents 4 x x 5:6:7:8:9 x S SD: 18.9556 cents 5 x 6 x 7:9:10:11:12 SD: 25.1720 cents 6 x 7:8:9:10:12:13:14 S SD: 19.0608 cents 7 x 8:9:10:12:14:15:16 S SD: 11.5736 cents 8 x 9:10:12:14:16:18:19 S SD: 14.8385 cents 9:10 x 12:13:16:18:20:21 SD: 11.4356 cents 10:11 x 13:15:17:20:22:23 SD: 12.0376 cents 11:12 x 14:16:19:22:24:26 SD: 9.6626 cents 14 x 16:18:20:24:27:31:32 SD: 7.6724 cents 15 x 17:19:22:26:29:33:35 SD: 6.4952 cents 16 x 18:21:23:28:31:35:37 SD: 6.2793 cents 17:19 x 22:25:30:33:38:39 SD: 6.9590 cents 18:20 x 23:26:31:35:40:42 SD: 4.3716 cents 19:21 x 25:28:33:37:42:44 SD: 6.5073 cents 20:22:23:26:29:35:39:44:46 SD: 5.0335 cents 23 x 26:30:33:40:45:51:53 SD: 4.1235 cents 24 x 27:31:35:42:47:53:56 SD: 2.9643 cents 25 x 28:32:36:43:49:55:58 SD: 4.6169 cents 26:29 x 34:38:45:51:57:60 SD: 4.9477 cents 27:30:31:35:39:47:53:60:63 SD: 4.0443 cents 28:31:32:36:41:49:55:62:65 SD: 3.6402 cents 31:34:35:40:45:54:61:69:72 SD: 3.1605 cents 33 x 37:43:48:57:65:73:77 SD: 4.3943 cents 34:38 x 44:49:59:67:75:79 SD: 3.2256 cents 37:41:42:48:54:64:72:82:86 SD: 2.7505 cents 38:42:43:49:55:66:74:84:88 SD: 1.3667 cents 62:69:70:80:90:108:121:137:144 SD: 1.1686 cents 76:84:86:98:110:132:149:168:176 SD: 1.0077 cents 91:101:103:117:132:158:178:201:211 SD: 0.8798 cents 93:103:105:120:135:162:182:206:216 SD: 0.8747 cents 100:111:113:129:145:174:196:221:232 SD: 0.4964 cents 138:153:156:178:200:240:270:305:320 SD: 0.1362 cents 534:592:604:689:774:929:1045:1180:1238 SD: 0.1354 cents 551:611:623:711:799:958:1078:1218:1278 SD: 0.1222 cents