Scala analysis: Uganda_Harp
Harp (Harp), Uganda
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 258.000 cents 258.000000 2: 435.000 cents 435.000000 3: 743.000 cents 743.000000 4: 942.000 cents 942.000000
SHOW/INTERVAL
0: 199.0000 cents 199.0000 1: 258.0000 cents 258.0000 2: 177.0000 cents 177.0000 3: 308.0000 cents 308.0000 4: 199.0000 cents 199.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 177.00000 cents 1: 1 199.00000 cents 1: 1 258.00000 cents 1: 1 308.00000 cents 2: 1 435.00000 cents 2: 1 457.00000 cents 2: 1 485.00000 cents 2: 1 507.00000 cents 3: 1 634.00000 cents 3: 1 684.00000 cents 3: 1 743.00000 cents 3: 1 765.00000 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 : 258.0 435.0 743.0 942.0 258.0: 177.0 485.0 684.0 942.0 435.0: 308.0 507.0 765.0 942.0 743.0: 199.0 457.0 634.0 942.0 942.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 177.0000 .. 308.0000 cents 131.00000 cents 177.00000 cents 2: 435.0000 .. 507.0000 cents 72.00000 cents 127.00000 cents 3: 634.0000 .. 765.0000 cents 131.00000 cents 127.00000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 177.00000 cents, class 1 Average step (divided formal octave): 235.5000 cents Largest one step interval : 308.00000 cents Average / Smallest step : 1.330508 Largest / Average step : 1.307856 Largest / Smallest step : 1.740113 Median interval of one step : 228.50000 cents, amount: 0 Least squares average step : 237.50000 cents, oct.: 950.00000 cents Scale is strictly proper Scale is a mode of a 942-tone equal temperament with octave 942.000 cents degrees: 258 435 743 942 Least number of segments generator : 473 of 473.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 577 of 577.000 cents and inv. generated superset size: 90 = 86 more = 2250.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCD Step pattern size order : CADB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 127.00000 cents Scale diversity : 1.745524 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.645435 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 : 22.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 2, average 496.0000 cents Number of appreciable fourths : 1, average 507.0000 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 : 1 = 25.0000% Limited inverse transpositions with margin 109.0000 cents: 1 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 27.9933 c. M: 36.5000 c. 9: 2 2 3 2 SP M ME SD: 26.1821 c. M: 48.6667 c. 10: 3 2 3 2 SP B ME SD: 22.4361 c. M:-36.0000 c. 11: 3 2 4 2 SP D3 SD: 14.2871 c. M:-27.7273 c. 15: 4 3 5 3 SP D3 SD: 6.7037 c. M:-10.6000 c. 28: 8 5 9 6 SP SD: 5.8712 c. M:-11.1429 c. 32: 9 6 10 7 SP SD: 5.9387 c. M: 7.0625 c. 33: 9 6 11 7 SP SD: 3.4766 c. M: 6.8182 c. 37: 10 7 12 8 SP SD: 3.0924 c. M: 4.6757 c. 43: 12 8 14 9 SP SD: 3.0448 c. M:-4.8837 c. 48: 13 9 16 10 SP SD: 2.5686 c. M: 3.2500 c. 52: 14 10 17 11 SP SD: 2.1995 c. M: 4.3846 c. 76: 21 14 25 16 SP SD: 1.3334 c. M:-2.2895 c. 80: 22 15 26 17 SP SD: 0.8571 c. M: 1.1750 c. 95: 26 18 31 20 SP SD: 0.7383 c. M:-1.2947 c. 128: 35 24 42 27 SP SD: 0.4746 c. M: 0.7969 c. 208: 57 39 68 44 SP SD: 0.1914 c. M: 0.2692 c. 303: 83 57 99 64 SP SD: 0.1262 c. M:-0.2475 c. 431: 118 81 141 91 SP SD: 0.0795 c. M:-0.1090 c. 511: 140 96 167 108 SP SD: 0.0671 c. M: 0.0920 c. 639: 175 120 209 135 SP SD: 0.0598 c. M: 0.1174 c. 734: 201 138 240 155 SP SD: 0.0542 c. M:-0.0763 c. 942: 258 177 308 199 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x 2 S SD: 258.0000 cents 2 x x 3 x S SD: 41.0450 cents 3 x 4 x 5 S SD: 42.7118 cents 4 x 5:6:7 S SD: 23.0330 cents 5:6 x 8:9 S SD: 39.4882 cents 6:7:8:9:10 H SD: 23.7968 cents 7:8:9:11:12 SD: 12.1397 cents 11:13:14:17:19 SD: 9.3901 cents 17:20:22:26:29 SD: 8.0308 cents 18:21:23:28:31 SD: 6.4850 cents 24:28:31:37:41 SD: 5.0411 cents 25:29:32:38:43 SD: 4.9817 cents 32:37:41:49:55 SD: 2.8200 cents 43:50:55:66:74 SD: 2.4355 cents 50:58:64:77:86 SD: 2.3631 cents 56:65:72:86:96 SD: 2.2192 cents 62:72:80:95:107 SD: 2.0205 cents 69:80:89:106:119 SD: 1.5428 cents 80:93:103:123:138 SD: 1.1159 cents 101:117:130:155:174 SD: 1.0603 cents 105:122:135:161:181 SD: 0.8908 cents 112:130:144:172:193 SD: 0.0856 cents