Scala analysis: Papua_New_Guinea_Phon_11

Phon 11 (Flute), Papua New Guinea

Generated by Scala: https://www.huygens-fokker.org/scala/

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        435.000 cents     435.000000
  2:        797.000 cents     797.000000
  3:       1116.000 cents    1116.000000
  4:       1281.000 cents    1281.000000
SHOW/INTERVAL
  0:        165.0000 cents    165.0000
  1:        435.0000 cents    435.0000
  2:        362.0000 cents    362.0000
  3:        319.0000 cents    319.0000
  4:        165.0000 cents    165.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 165.00000 cents
  1:   1 319.00000 cents
  1:   1 362.00000 cents
  1:   1 435.00000 cents
  2:   1 484.00000 cents
  2:   1 600.00000 cents
  2:   1 681.00000 cents
  2:   1 797.00000 cents
  3:   1 846.00000 cents
  3:   1 919.00000 cents
  3:   1 962.00000 cents
  3:   1 1116.00000 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   : 435.0 797.0 1116.0 1281.0
 435.0 : 362.0 681.0 846.0  1281.0
 797.0 : 319.0 484.0 919.0  1281.0
 1116.0: 165.0 600.0 962.0  1281.0
 1281.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  165.0000  .. 435.0000 cents      270.00000 cents                    165.00000 cents
  2:  484.0000  .. 797.0000 cents      313.00000 cents                    49.00000 cents
  3:  846.0000  .. 1116.0000 cents     270.00000 cents                    49.00000 cents
SHOW DATA
Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 165.00000 cents, class 1
Average step (divided formal octave): 320.2500 cents
Largest one step interval           : 435.00000 cents
Average / Smallest step             : 1.940909
Largest / Average step              : 1.358314
Largest / Smallest step             : 2.636364
Median interval of one step         : 340.50000 cents, amount: 0
Least squares average step          : 350.03333 cents, oct.:  1400.13333 cents
Scale is strictly proper
Scale is a mode of a 1281-tone equal temperament with octave  1281.000 cents
  degrees: 435 797 1116 1281
Least number of segments generator  : 641 of 641.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 859 of 859.000 cents and inv.
  generated superset size: 121 = 117 more = 3025.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABCD
Step pattern size order : DCBA
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 49.00000 cents
Scale diversity                     : 1.553249
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.334114
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        : 43.00000 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 1, average 484.0000 cents
Number of appreciable fourths       : 0
Best minor thirds form a closed circle
Steps are strictly decreasing
Formal octave complements present   : 1 = 25.0000%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --
FIT/MODE
  4:  1 1 1 1  SP B ME I SD: 124.2602 c. M: 156.5000 c. 
  5:  2 1 1 1   P M ME   SD: 61.4711 c. M: 91.2000 c. 
  6:  2 2 1 1   P   D3 S SD: 37.6339 c. M:-57.0000 c. 
  8:  3 2 2 1   P   T3   SD: 22.8899 c. M:-45.3750 c. 
 13:  4 4 3 2  SP        SD: 26.3291 c. M: 40.8462 c. 
 14:  5 4 3 2   P        SD: 19.5736 c. M:-26.5000 c. 
 15:  5 4 4 2  SP        SD: 15.0350 c. M: 28.4000 c. 
 18:  6 5 5 2  SP        SD: 13.9506 c. M:-22.6667 c. 
 21:  7 6 5 3  SP        SD: 10.0499 c. M: 18.0000 c. 
 23:  8 6 6 3  SP        SD: 10.1725 c. M: 17.2609 c. 
 24:  8 7 6 3  SP        SD: 5.0226 c. M: 8.0000 c. 
 32:  11 9 8 4  SP        SD: 4.0454 c. M:-5.3438 c. 
 47:  16 13 12 6  SP        SD: 3.4219 c. M: 6.5957 c. 
 53:  18 15 13 7  SP        SD: 2.1162 c. M: 4.1887 c. 
 71:  24 20 18 9  SP        SD: 2.2733 c. M: 3.1408 c. 
 77:  26 22 19 10  SP        SD: 1.6026 c. M: 2.4545 c. 
 85:  29 24 21 11  SP        SD: 1.3987 c. M:-2.0471 c. 
 109: 37 31 27 14  SP        SD: 1.1062 c. M:-2.1560 c. 
 124: 42 35 31 16  SP        SD: 0.9612 c. M: 1.5403 c. 
 156: 53 44 39 20  SP        SD: 0.4657 c. M:-0.7692 c. 
 209: 71 59 52 27  SP        SD: 0.2785 c. M: 0.4880 c. 
 365: 124 103 91 47  SP        SD: 0.1889 c. M: 0.3233 c. 
 442: 150 125 110 57  SP        SD: 0.1677 c. M: 0.2715 c. 
 474: 161 134 118 61  SP        SD: 0.1530 c. M:-0.2468 c. 
 598: 203 169 149 77  SP        SD: 0.0994 c. M: 0.1455 c. 
 683: 232 193 170 88  SP        SD: 0.0870 c. M:-0.1274 c. 
 807: 274 228 201 104  SP        SD: 0.0899 c. M: 0.1450 c. 
 839: 285 237 209 108  SP        SD: 0.0883 c. M:-0.1430 c. 
 916: 311 259 228 118  SP        SD: 0.0753 c. M:-0.1288 c. 
 1072: 364 303 267 138  SP        SD: 0.0543 c. M:-0.0951 c. 
 1281: 435 362 319 165  SP        SD: 0.0000 c. M: 0.0000 c. 
FIT/HARMONIC
 1 x x x 2  S SD: 81.0000 cents
 2 x 3 x 4  S SD: 62.4391 cents
 3:4:5 x 6  S SD: 44.9286 cents
 4:5:6 x 8  S SD: 44.6777 cents
 5:6:8 x 10  S SD: 48.4033 cents
 6:8:10:11:13    SD: 34.7862 cents
 7:9:11:13:15    SD: 15.1052 cents
 10:13:16:19:21    SD: 6.5320 cents
 21:27:33:40:44    SD: 3.6308 cents
 31:40:49:59:65    SD: 1.9805 cents
 53:68:84:101:111    SD: 0.9437 cents
 63:81:100:120:132    SD: 0.7416 cents
 84:108:133:160:176    SD: 0.3968 cents
 147:189:233:280:308    SD: 0.1958 cents
 231:297:366:440:484    SD: 0.1780 cents
 378:486:599:720:792    SD: 0.1658 cents
 508:653:805:968:1065    SD: 0.1636 cents
 539:693:854:1027:1130    SD: 0.1572 cents
 571:734:905:1088:1197    SD: 0.1517 cents
 592:761:938:1128:1241    SD: 0.1316 cents