Scala analysis: Uganda_Xylophone_a
Xylophone (Xylophone), Uganda
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 193.000 cents 193.000000 2: 494.000 cents 494.000000 3: 703.000 cents 703.000000 4: 909.000 cents 909.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 291.0000 cents 291.0000 1: 193.0000 cents 193.0000 2: 301.0000 cents 301.0000 3: 209.0000 cents 209.0000 4: 206.0000 cents 206.0000 5: 291.0000 cents 291.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 193.00000 cents 1: 1 206.00000 cents 1: 1 209.00000 cents 1: 1 291.00000 cents 1: 1 301.00000 cents 2: 1 415.00000 cents 2: 1 484.00000 cents 2: 1 494.00000 cents 2: 1 497.00000 cents 2: 1 510.00000 cents 3: 1 690.00000 cents 3: 1 703.00000 cents 3: 1 706.00000 cents 3: 1 716.00000 cents 3: 1 785.00000 cents 4: 1 899.00000 cents 4: 1 909.00000 cents 4: 1 991.00000 cents 4: 1 994.00000 cents 4: 1 1007.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 193.0 494.0 703.0 909.0 1200.0 193.0 : 301.0 510.0 716.0 1007.0 1200.0 494.0 : 209.0 415.0 706.0 899.0 1200.0 703.0 : 206.0 497.0 690.0 991.0 1200.0 909.0 : 291.0 484.0 785.0 994.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 193.0000 .. 301.0000 cents 108.00000 cents 193.00000 cents 2: 415.0000 .. 510.0000 cents 95.00000 cents 114.00000 cents 3: 690.0000 .. 785.0000 cents 95.00000 cents 180.00000 cents 4: 899.0000 .. 1007.0000 cents 108.00000 cents 114.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 193.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 301.00000 cents Average / Smallest step : 1.243523 Largest / Average step : 1.254167 Largest / Smallest step : 1.559585 Median interval of one step : 209.00000 cents, amount: 1 Least squares average step : 235.01818 cents, oct.: 1175.09091 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 193 494 703 909 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 703 of 703.000 cents and inv. generated superset size: 99 = 94 more = 1980.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : AECBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 114.00000 cents Scale diversity : 1.377084 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.661667 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 3.00000 cents Number of recognisable fifths : 4, average 703.7500 cents Number of appreciable fifths : 3, average 699.6667 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 108.0000 cents: 1 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 32.5423 c. M:-51.0000 c. 7: 1 2 1 1 2 P M ME S SD: 27.8021 c. M: 51.8571 c. Thai mode 5 8: 1 2 2 1 2 P M ME S SD: 34.8569 c. M:-47.0000 c. 12: 2 3 2 2 3 SP M ME S SD: 5.9161 c. M: 9.0000 c. Scottish Pentatonic, Blues Major, Ritusen, Ritsu (Gagaku): Japan, Zhi, Zheng: China, Ujo, P'yongjo: Korea, Bac: Vietnam, Lai Soutsanaen, Lai Po Sai, Lai Soi: Laos, Raga Arabhi, Devakriya, Durga, Jaldhar Kedar, Suddha Saveri, Major complement 29: 5 7 5 5 7 SP M DE S SD: 6.3504 c. M:-13.8966 c. 37: 6 9 7 6 9 SP T3 SD: 5.8365 c. M:-10.5135 c. 41: 7 10 7 7 10 SP M DE S SD: 5.6021 c. M:-11.8780 c. 44: 7 11 8 7 11 SP T3 SD: 5.1386 c. M: 9.0000 c. 46: 7 12 8 8 11 SP SD: 5.0769 c. M: 10.3913 c. 49: 8 12 9 8 12 SP T3 SD: 4.1562 c. M:-7.2041 c. 58: 9 15 10 10 14 SP SD: 3.3066 c. M: 6.7931 c. 61: 10 15 11 10 15 SP T3 SD: 3.5311 c. M:-5.1967 c. 63: 10 16 11 11 15 SP SD: 2.7909 c. M:-5.2857 c. 70: 11 18 12 12 17 SP SD: 2.4370 c. M: 4.4286 c. 75: 12 19 13 13 18 SP SD: 1.7321 c. M:-3.0000 c. 87: 14 22 15 15 21 SP SD: 1.3063 c. M:-2.5517 c. 131: 21 33 23 22 32 SP SD: 1.4738 c. M:-2.3435 c. 136: 22 34 24 23 33 SP SD: 1.3858 c. M:-2.8824 c. 148: 24 37 26 25 36 SP SD: 1.3768 c. M:-2.4054 c. 160: 26 40 28 27 39 SP SD: 1.5000 c. M:-2.0000 c. 161: 26 40 28 28 39 SP SD: 1.4619 c. M: 2.3789 c. 162: 26 41 28 28 39 SP SD: 1.4416 c. M:-2.2963 c. 173: 28 43 30 30 42 SP SD: 1.3968 c. M: 2.4220 c. 186: 30 47 32 32 45 SP SD: 1.3044 c. M:-2.7742 c. 194: 31 49 34 33 47 SP SD: 1.1824 c. M:-2.1546 c. 201: 32 51 35 34 49 SP SD: 1.4620 c. M: 1.9552 c. 205: 33 51 36 35 50 SP SD: 1.2987 c. M: 2.2927 c. 206: 33 52 36 35 50 SP SD: 1.0400 c. M:-1.8544 c. 207: 33 52 36 36 50 SP SD: 1.2763 c. M: 1.6957 c. 211: 34 53 37 36 51 SP SD: 1.1453 c. M:-2.2133 c. 218: 35 55 38 37 53 SP SD: 1.0181 c. M:-1.5872 c. 223: 36 56 39 38 54 SP SD: 1.0554 c. M:-1.9327 c. 231: 37 58 40 40 56 SP SD: 0.8688 c. M: 1.7013 c. 236: 38 59 41 41 57 SP SD: 0.8634 c. M: 1.3051 c. 243: 39 61 42 42 59 SP SD: 0.8296 c. M: 1.7654 c. 248: 40 62 43 43 60 SP SD: 0.7599 c. M: 1.3871 c. 268: 43 67 47 46 65 SP SD: 0.6864 c. M: 1.4627 c. 280: 45 70 49 48 68 SP SD: 0.5533 c. M: 1.1429 c. 292: 47 73 51 50 71 SP SD: 0.5332 c. M: 0.8493 c. 343: 55 86 60 59 83 SP SD: 0.5026 c. M: 0.7055 c. 350: 56 88 61 60 85 SP SD: 0.5071 c. M: 1.0000 c. 355: 57 89 62 61 86 SP SD: 0.2938 c. M: 0.4789 c. 367: 59 92 64 63 89 SP SD: 0.1253 c. M: 0.2670 c. 746: 120 187 130 128 181 SP SD: 0.1044 c. M: 0.1662 c. 821: 132 206 143 141 199 SP SD: 0.0714 c. M:-0.1352 c. 833: 134 209 145 143 202 SP SD: 0.0552 c. M:-0.1176 c. 1188: 191 298 207 204 288 SP SD: 0.0598 c. M:-0.0909 c. 1200: 193 301 209 206 291 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 0.5225 cents 3 x 4 x 5:6 S SD: 8.3237 cents 4 x 5:6:7:8 S SD: 30.7983 cents 5:6:7 x 8:10 S SD: 44.6934 cents 6:7:8:9:10:12 S SD: 15.5969 cents 9:10:12:14:15:18 S SD: 13.5195 cents 10:11:13:15:17:20 SD: 9.9212 cents 16:18:21:24:27:32 SD: 5.1733 cents 24:27:32:36:41:48 SD: 4.3098 cents 26:29:35:39:44:52 SD: 4.2178 cents 32:36:43:48:54:64 SD: 4.1800 cents 33:37:44:50:56:66 SD: 3.7549 cents 34:38:45:51:57:68 SD: 3.3907 cents 36:40:48:54:61:72 SD: 2.4128 cents 42:47:56:63:71:84 SD: 0.9042 cents 94:105:125:141:159:188 SD: 0.4154 cents 136:152:181:204:230:272 SD: 0.3116 cents 194:217:258:291:328:388 SD: 0.2988 cents 288:322:383:432:487:576 SD: 0.2472 cents 297:332:395:446:502:594 SD: 0.2042 cents 339:379:451:509:573:678 SD: 0.1516 cents 391:437:520:587:661:782 SD: 0.1459 cents 433:484:576:650:732:866 SD: 0.0745 cents