Scala analysis: Papua_New_Guinea_Phon_03

  0:          1/1               0.000000 unison, perfect prime
  1:        510.000 cents     510.000000
  2:        702.000 cents     702.000000
  3:        986.000 cents     986.000000
  4:       1235.000 cents    1235.000000

  0:        249.0000 cents    249.0000
  1:        510.0000 cents    510.0000
  2:        192.0000 cents    192.0000
  3:        284.0000 cents    284.0000
  4:        249.0000 cents    249.0000

Interval class, Number of incidences, Size:
  1:   1 192.00000 cents
  1:   1 249.00000 cents
  1:   1 284.00000 cents
  1:   1 510.00000 cents
  2:   1 476.00000 cents
  2:   1 533.00000 cents
  2:   1 702.00000 cents
  2:   1 759.00000 cents
  3:   1 725.00000 cents
  3:   1 951.00000 cents
  3:   1 986.00000 cents
  3:   1 1043.00000 cents
Highest number of different intervals for one interval class: 4
Average number of different intervals per interval class: 4.00000 = 4

         1     2     3      4     
 0.0   : 510.0 702.0 986.0  1235.0
 510.0 : 192.0 476.0 725.0  1235.0
 702.0 : 284.0 533.0 1043.0 1235.0
 986.0 : 249.0 759.0 951.0  1235.0
 1235.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  192.0000  .. 510.0000 cents      318.00000 cents                    192.00000 cents
  2:  476.0000  .. 759.0000 cents      283.00000 cents                   -34.00000 cents
  3:  725.0000  .. 1043.0000 cents     318.00000 cents                   -34.00000 cents

Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 192.00000 cents, class 1
Average step (divided formal octave): 308.7500 cents
Largest one step interval           : 510.00000 cents
Average / Smallest step             : 1.608073
Largest / Average step              : 1.651822
Largest / Smallest step             : 2.656250
Median interval of one step         : 266.50000 cents, amount: 0
Least squares average step          : 327.06667 cents, oct.:  1308.26667 cents
Scale is not proper
Scale is a mode of a 1235-tone equal temperament with octave  1235.000 cents
  degrees: 510 702 986 1235
Least number of segments generator  : 618 of 618.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1201 of 1201.000 cents and inv.
  generated superset size: 82 = 78 more = 2050.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABCD
Step pattern size order : DACB
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 23.00000 cents
Scale diversity                     : 1.453087
Lumma stability                     : 0.310931
Lumma impropriety factor            : 0.055061
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        : 23.00000 cents
Number of recognisable fifths       : 1, average 702.0000 cents
Number of recognisable fourths      : 1, average 510.0000 cents
Best minor thirds form a closed circle
Formal octave complements present   : 1 = 25.0000%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --

  4:  2 0 1 1   N   T3   SD: 74.6099 c. M:-107.5000 c. 
  5:  2 1 1 1   P M ME   SD: 21.1009 c. M:-39.0000 c. 
  9:  4 1 2 2   N        SD: 24.5572 c. M:-38.8889 c. 
 12:  5 2 3 2   P G D3   SD: 23.5772 c. M:-43.1667 c.  Genus primum inverse
 13:  5 2 3 3   P        SD: 31.1849 c. M: 37.0000 c. 
 14:  6 2 3 3   N        SD: 12.5542 c. M:-19.2857 c. 
 19:  8 3 4 4   N        SD: 9.8742 c. M:-13.0000 c. 
 25:  10 4 6 5   P        SD: 9.5937 c. M: 16.0000 c. 
 26:  11 4 6 5   N        SD: 9.9844 c. M:-12.5000 c. 
 30:  12 5 7 6   P        SD: 8.1347 c. M: 16.0000 c. 
 34:  14 5 8 7   N        SD: 6.5263 c. M: 11.8529 c. 
 39:  16 6 9 8   N        SD: 3.8188 c. M: 5.3333 c. 
 44:  18 7 10 9   N        SD: 2.9969 c. M: 4.7727 c. 
 60:  25 9 14 12   N        SD: 2.7249 c. M:-4.5833 c. 
 65:  27 10 15 13   N        SD: 1.8708 c. M:-3.0000 c. 
 90:  37 14 21 18   N        SD: 1.8630 c. M: 2.2778 c. 
 95:  39 15 22 19   N        SD: 1.8028 c. M: 3.0000 c. 
 104: 43 16 24 21   N        SD: 0.7781 c. M: 1.3750 c. 
 109: 45 17 25 22   N        SD: 0.2817 c. M:-0.4771 c. 
 213: 88 33 49 43   N        SD: 0.2914 c. M: 0.4272 c. 
 322: 133 50 74 65   N        SD: 0.1712 c. M: 0.3012 c. 
 431: 178 67 99 87   N        SD: 0.1488 c. M: 0.2923 c. 
 540: 223 84 124 109   N        SD: 0.1557 c. M: 0.2870 c. 
 649: 268 101 149 131   N        SD: 0.1682 c. M: 0.2835 c. 
 695: 287 108 160 140   N        SD: 0.1210 c. M:-0.2230 c. 
 804: 332 125 185 162   N        SD: 0.0798 c. M:-0.1567 c. 
 913: 377 142 210 184   N        SD: 0.0604 c. M:-0.1062 c. 
 1017: 420 158 234 205   N        SD: 0.0604 c. M: 0.1023 c. 
 1022: 422 159 235 206   N        SD: 0.0607 c. M:-0.0890 c. 
 1126: 465 175 259 227   N        SD: 0.0273 c. M: 0.0462 c. 
 1235: 510 192 284 249   N        SD: 0.0000 c. M: 0.0000 c. 

 1 x x x 2  S SD: 35.0000 cents
 2 x 3 x 4  S SD: 17.5000 cents
 3:4 x 5:6  S SD: 36.0538 cents
 4:5:6:7:8  H SD: 32.4213 cents
 6:8:9:11:12    SD: 18.3419 cents
 8:11:12:14:16    SD: 14.2019 cents
 12:16:18:21:24  S SD: 10.1946 cents
 14:19:21:25:29    SD: 9.1147 cents
 18:24:27:32:37    SD: 4.9959 cents
 26:35:39:46:53    SD: 1.3327 cents
 70:94:105:124:143    SD: 1.0673 cents
 82:110:123:145:167    SD: 0.9944 cents
 90:121:135:159:184    SD: 0.9909 cents
 94:126:141:166:192    SD: 0.8626 cents
 102:137:153:180:208    SD: 0.7771 cents
 120:161:180:212:245    SD: 0.3903 cents
 146:196:219:258:298    SD: 0.1020 cents
 318:427:477:562:649    SD: 0.0741 cents
 464:623:696:820:947    SD: 0.0646 cents