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