Scala analysis: Papua_New_Guinea_Phon_04

  0:          1/1               0.000000 unison, perfect prime
  1:        423.000 cents     423.000000
  2:        625.000 cents     625.000000
  3:        927.000 cents     927.000000
  4:       1200.000 cents    1200.000000

  0:        273.0000 cents    273.0000
  1:        423.0000 cents    423.0000
  2:        202.0000 cents    202.0000
  3:        302.0000 cents    302.0000
  4:        273.0000 cents    273.0000

Interval class, Number of incidences, Size:
  1:   1 202.00000 cents
  1:   1 273.00000 cents
  1:   1 302.00000 cents
  1:   1 423.00000 cents
  2:   1 504.00000 cents
  2:   1 575.00000 cents
  2:   1 625.00000 cents
  2:   1 696.00000 cents
  3:   1 777.00000 cents
  3:   1 898.00000 cents
  3:   1 927.00000 cents
  3:   1 998.00000 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   : 423.0 625.0 927.0 1200.0
 423.0 : 202.0 504.0 777.0 1200.0
 625.0 : 302.0 575.0 998.0 1200.0
 927.0 : 273.0 696.0 898.0 1200.0
 1200.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  202.0000  .. 423.0000 cents      221.00000 cents                    202.00000 cents
  2:  504.0000  .. 696.0000 cents      192.00000 cents                    81.00000 cents
  3:  777.0000  .. 998.0000 cents      221.00000 cents                    81.00000 cents

Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 202.00000 cents, class 1
Average step (divided formal octave): 300.0000 cents
Largest one step interval           : 423.00000 cents
Average / Smallest step             : 1.485149
Largest / Average step              : 1.410000
Largest / Smallest step             : 2.094059
Median interval of one step         : 287.50000 cents, amount: 0
Least squares average step          : 308.46667 cents, oct.:  1233.86667 cents
Scale is strictly proper
Scale is a mode of a 1200-tone equal temperament with octave  1200.000 cents
  degrees: 423 625 927 1200
Least number of segments generator  : 601 of 601.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1079 of 1079.000 cents and inv.
  generated superset size: 88 = 84 more = 2200.000%
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 81.00000 cents
Scale diversity                     : 1.639457
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.471667
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        : 29.00000 cents
Number of recognisable fifths       : 1, average 696.0000 cents
Best minor thirds form a closed circle
Formal octave complements present   : 1 = 25.0000%
-- Rational properties --

  4:  1 1 1 1  SP B ME I SD: 64.1931 c. M: 123.0000 c. 
  5:  2 1 1 1   P M ME   SD: 57.7992 c. M:-95.0000 c. 
  6:  2 1 2 1  SP B ME   SD: 40.2585 c. M:-73.0000 c.  Messiaen truncated mode 6 inverse
  8:  3 1 2 2   P   T3   SD: 22.8199 c. M: 27.0000 c. 
 12:  4 2 3 3  SP   T3   SD: 21.6968 c. M: 27.0000 c. 
 14:  5 2 4 3  SP        SD: 15.0623 c. M: 25.0000 c. 
 17:  6 3 4 4  SP        SD: 6.9593 c. M:-10.2941 c. 
 23:  8 4 6 5  SP        SD: 6.7042 c. M:-12.1304 c. 
 31:  11 5 8 7  SP        SD: 3.3119 c. M: 5.6452 c. 
 40:  14 7 10 9  SP        SD: 3.2787 c. M:-5.0000 c. 
 48:  17 8 12 11  SP        SD: 1.4142 c. M: 2.0000 c. 
 71:  25 12 18 16  SP        SD: 1.3213 c. M:-2.5775 c. 
 88:  31 15 22 20  SP        SD: 1.1526 c. M:-2.2727 c. 
 119: 42 20 30 27  SP        SD: 0.4634 c. M:-0.7311 c. 
 286: 101 48 72 65  SP        SD: 0.4206 c. M:-0.7762 c. 
 321: 113 54 81 73  SP        SD: 0.4547 c. M: 0.7009 c. 
 338: 119 57 85 77  SP        SD: 0.3263 c. M: 0.5148 c. 
 386: 136 65 97 88  SP        SD: 0.3116 c. M: 0.5751 c. 
 409: 144 69 103 93  SP        SD: 0.2642 c. M: 0.5061 c. 
 426: 150 72 107 97  SP        SD: 0.3152 c. M: 0.4648 c. 
 440: 155 74 111 100  SP        SD: 0.2981 c. M: 0.4545 c. 
 457: 161 77 115 104  SP        SD: 0.1316 c. M: 0.2429 c. 
 576: 203 97 145 131  SP        SD: 0.0589 c. M: 0.0833 c. 
 624: 220 105 157 142  SP        SD: 0.0544 c. M: 0.0769 c. 
 1081: 381 182 272 246  SP        SD: 0.0510 c. M: 0.0805 c. 
 1200: 423 202 302 273  SP        SD: 0.0000 c. M:-0.0000 c. 

 1 x x x 2  S SD: 0.0000 cents
 2 x 3 x 4  S SD: 38.4775 cents
 3:4 x 5:6  S SD: 28.7712 cents
 4:5:6:7:8  H SD: 23.7399 cents
 7:9:10:12:14    SD: 3.8732 cents
 25:32:36:43:50    SD: 3.5353 cents
 32:41:46:55:64    SD: 3.1673 cents
 37:47:53:63:74    SD: 2.7112 cents
 44:56:63:75:88    SD: 1.8866 cents
 51:65:73:87:102    SD: 1.4155 cents
 58:74:83:99:116    SD: 1.2212 cents
 62:79:89:106:124    SD: 0.9718 cents
 69:88:99:118:138    SD: 0.6813 cents
 76:97:109:130:152    SD: 0.6266 cents
 145:185:208:248:290    SD: 0.6251 cents
 170:217:244:290:340    SD: 0.6226 cents
 177:226:254:302:354    SD: 0.5160 cents
 184:235:264:314:368    SD: 0.4534 cents
 191:244:274:326:382    SD: 0.4397 cents
 195:249:280:333:390    SD: 0.3658 cents
 202:258:290:345:404    SD: 0.3118 cents
 246:314:353:420:492    SD: 0.2645 cents
 253:323:363:432:506    SD: 0.1844 cents
 260:332:373:444:520    SD: 0.1537 cents
 322:411:462:550:644    SD: 0.1325 cents
 329:420:472:562:658    SD: 0.0720 cents