Scala analysis: Uganda_BaGanda
BaGanda, Uganda
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 225.000 cents 225.000000 2: 467.000 cents 467.000000 3: 737.000 cents 737.000000 4: 970.000 cents 970.000000
SHOW/INTERVAL
0: 233.0000 cents 233.0000 1: 225.0000 cents 225.0000 2: 242.0000 cents 242.0000 3: 270.0000 cents 270.0000 4: 233.0000 cents 233.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 225.00000 cents 1: 1 233.00000 cents 1: 1 242.00000 cents 1: 1 270.00000 cents 2: 1 458.00000 cents 2: 1 467.00000 cents 2: 1 503.00000 cents 2: 1 512.00000 cents 3: 1 700.00000 cents 3: 1 728.00000 cents 3: 1 737.00000 cents 3: 1 745.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 225.0 467.0 737.0 970.0 225.0: 242.0 512.0 745.0 970.0 467.0: 270.0 503.0 728.0 970.0 737.0: 233.0 458.0 700.0 970.0 970.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 225.0000 .. 270.0000 cents 45.00000 cents 225.00000 cents 2: 458.0000 .. 512.0000 cents 54.00000 cents 188.00000 cents 3: 700.0000 .. 745.0000 cents 45.00000 cents 188.00000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 225.00000 cents, class 1 Average step (divided formal octave): 242.5000 cents Largest one step interval : 270.00000 cents Average / Smallest step : 1.077778 Largest / Average step : 1.113402 Largest / Smallest step : 1.200000 Median interval of one step : 237.50000 cents, amount: 0 Least squares average step : 241.66667 cents, oct.: 966.66667 cents Scale is strictly proper Scale is a mode of a 970-tone equal temperament with octave 970.000 cents degrees: 225 467 737 970 Least number of segments generator : 487 of 487.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 573 of 573.000 cents and inv. generated superset size: 125 = 121 more = 3125.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCD Step pattern size order : ACDB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 188.00000 cents Scale diversity : 1.449413 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.851546 Rothenberg efficiency : 0.500000 redundancy: 0.500000 Efficiency x scale size : 2.000000 Number of different interval sizes : 12 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 8.00000 cents Number of recognisable fifths : 1, average 700.0000 cents Number of recognisable fourths : 2, average 507.5000 cents Number of appreciable fourths : 1, average 503.0000 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 25.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 45.0000 cents: 3 Limited inverse transpositions with margin 45.0000 cents: 1 2 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 13.4211 c. M:-18.0000 c. 13: 3 3 4 3 SP M ME SD: 10.6994 c. M: 19.3077 c. 17: 4 4 5 4 SP M ME SD: 6.0008 c. M: 10.5294 c. 21: 5 5 6 5 SP M ME SD: 4.0492 c. M:-5.9524 c. 25: 6 6 7 6 SP M ME SD: 3.9636 c. M:-7.8000 c. 46: 11 11 13 11 SP M DE SD: 3.8409 c. M:-6.9565 c. 60: 14 15 17 14 SP SD: 3.5208 c. M:-6.6667 c. 61: 14 15 17 15 SP D3 SD: 4.1959 c. M: 5.8525 c. 62: 14 16 17 15 SP SD: 3.3156 c. M: 5.9677 c. 64: 15 16 18 15 SP SD: 3.3754 c. M:-5.6563 c. 66: 15 17 18 16 SP SD: 3.0083 c. M: 4.5455 c. 68: 16 17 19 16 SP SD: 3.4323 c. M:-4.7647 c. 69: 16 17 19 17 SP D3 SD: 3.3675 c. M: 5.9855 c. 70: 16 18 19 17 SP SD: 2.9399 c. M:-4.1429 c. 75: 17 19 21 18 SP SD: 2.6623 c. M: 5.1333 c. 79: 18 20 22 19 SP SD: 2.0099 c. M: 3.9873 c. 83: 19 21 23 20 SP SD: 1.5390 c. M: 2.9518 c. 87: 20 22 24 21 SP SD: 1.3199 c. M: 2.0115 c. 91: 21 23 25 22 SP SD: 1.3822 c. M:-2.0110 c. 100: 23 25 28 24 SP SD: 1.1843 c. M: 1.9000 c. 104: 24 26 29 25 SP SD: 0.6687 c. M: 1.1538 c. 108: 25 27 30 26 SP SD: 0.3481 c. M: 0.5185 c. 237: 55 59 66 57 SP SD: 0.2600 c. M: 0.4177 c. 341: 79 85 95 82 SP SD: 0.3093 c. M: 0.4897 c. 345: 80 86 96 83 SP SD: 0.2304 c. M: 0.3623 c. 453: 105 113 126 109 SP SD: 0.2384 c. M: 0.3996 c. 492: 114 123 137 118 SP SD: 0.2515 c. M:-0.3577 c. 496: 115 124 138 119 SP SD: 0.2485 c. M:-0.3992 c. 513: 119 128 143 123 SP SD: 0.2143 c. M:-0.4269 c. 517: 120 129 144 124 SP SD: 0.2089 c. M:-0.3501 c. 521: 121 130 145 125 SP SD: 0.2503 c. M:-0.3129 c. 565: 131 141 157 136 SP SD: 0.2485 c. M: 0.4867 c. 582: 135 145 162 140 SP SD: 0.2357 c. M: 0.3333 c. 586: 136 146 163 141 SP SD: 0.2315 c. M: 0.3959 c. 600: 139 150 167 144 SP SD: 0.2045 c. M: 0.2833 c. 604: 140 151 168 145 SP SD: 0.1986 c. M:-0.3344 c. 617: 143 154 172 148 SP SD: 0.1918 c. M:-0.3258 c. 621: 144 155 173 149 SP SD: 0.1374 c. M:-0.2625 c. 625: 145 156 174 150 SP SD: 0.1272 c. M:-0.2000 c. 729: 169 182 203 175 SP SD: 0.0999 c. M:-0.1468 c. 733: 170 183 204 176 SP SD: 0.0841 c. M:-0.1351 c. 841: 195 210 234 202 SP SD: 0.0761 c. M:-0.1225 c. 858: 199 214 239 206 SP SD: 0.0714 c. M:-0.1096 c. 862: 200 215 240 207 SP SD: 0.0436 c. M:-0.0650 c. 970: 225 242 270 233 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x 2 S SD: 230.0000 cents 2 x x 3:4 S SD: 116.3273 cents 3 x 4 x 5 S SD: 45.5473 cents 4 x 5:6:7 S SD: 29.3254 cents 6:7:8:9:11 SD: 25.3027 cents 7:8:9:11:12 SD: 16.7439 cents 9:10:12:14:16 S SD: 16.2754 cents 12:14:16:18:21 S SD: 15.7053 cents 13:15:17:20:23 SD: 7.5660 cents 22:25:29:34:39 SD: 7.3533 cents 23:26:30:35:40 SD: 5.3463 cents 28:32:37:43:49 SD: 4.4209 cents 29:33:38:44:51 SD: 4.2515 cents 36:41:47:55:63 SD: 1.6075 cents 64:73:84:98:112 SD: 1.2217 cents 87:99:114:133:152 SD: 1.2130 cents 94:107:123:144:165 SD: 1.1563 cents 100:114:131:153:175 SD: 0.5904 cents 145:165:190:222:254 SD: 0.4348 cents 181:206:237:277:317 SD: 0.2824 cents 245:279:321:375:429 SD: 0.1928 cents 281:320:368:430:492 SD: 0.1411 cents 426:485:558:652:746 SD: 0.1401 cents 475:541:622:727:832 SD: 0.1328 cents 526:599:689:805:921 SD: 0.1242 cents