Scala analysis: 120_E14

  0:          1/1               0.000000 unison, perfect prime
  1:         46.920 cents      46.920021
  2:       2187/2048          113.685006 apotome
  3:          4/3             498.044999 perfect fourth

  0:       8192/6561          384.3600 Pythagorean diminished fourth
  1:         46.9200 cents     46.9200
  2:         66.7650 cents     66.7650
  3:       8192/6561          384.3600 Pythagorean diminished fourth

Interval class, Number of incidences, Size:
  1:   1 46.92002 cents
  1:   1 66.76499 cents
  1:   1 8192/6561           384.360 cents  Pythagorean diminished fourth
  2:   1 2187/2048           113.685 cents  apotome
  2:   1 431.28001 cents
  2:   1 451.12498 cents
Highest number of different intervals for one interval class: 3
Average number of different intervals per interval class: 3.00000 = 3

        1     2     3    
 0.0  : 46.9  113.7 498.0
 46.9 : 66.8  451.1 498.0
 113.7: 384.4 431.3 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  46.9200   .. 384.3600 cents      337.43997 cents                    46.92002 cents
  2:  113.6850  .. 451.1250 cents      337.43997 cents                    14348907/16777216,-270.6750 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 46.92002 cents, class 1
Average step (divided formal octave): 166.0150 cents
Largest one step interval           : 8192/6561, 384.3600 cents
Average / Smallest step             : 3.538255
Largest / Average step              : 2.315212
Largest / Smallest step             : 8.191812
Median interval of one step         : 66.76499 cents, amount: 1
Least squares average step          : 126.31607 cents, oct.:  378.94822 cents
Scale is not proper
Scale has trivalence property
Scale is a mode of a 276-tone equal temperament with octave  4/3
  degrees: 26 63 276
Least number of segments generator  : 139 of 250.827 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 163 of 294.135 cents and inv.
  generated superset size: 11 = 8 more = 366.667%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : SML
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 46.92002 cents
Scale diversity                     : 0.518064
Lumma stability                     : 0.188417
Lumma impropriety factor            : 0.543475
Rothenberg efficiency               : 0.666667   redundancy: 0.333333
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 6 = 3.00000 / class
Number of one step interval sizes   : 3
Highest interval variety            : 3
Mean interval variety               : 3.00000 = 3
Median interval variety             : 3
Lowest interval variety             : 3
Smallest interval difference        : 19.84496 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Steps are strictly increasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions with margin 317.5950 cents:
 2
-- Rational properties --
Prime limit                         : 3 (not all pitches rational)

  3:  0 1 2   N G T3   SD: 40.5788 c. M:-52.3300 c. 
  4:  0 1 3   N G T3   SD: 27.8011 c. M: 46.9200 c. 
  5:  0 1 4   N G T3   SD: 28.2820 c. M: 46.9200 c. 
  6:  0 1 5   N G T3   SD: 32.3656 c. M: 46.9200 c. 
  8:  1 1 6   N M DE S SD: 10.8380 c. M:-15.3356 c. 
  9:  1 1 7   N M DE S SD: 5.1613 c. M:-8.4183 c. 
 13:  1 2 10   N   T3   SD: 5.0223 c. M: 8.6089 c. 
 21:  2 3 16   N   T3   SD: 2.8428 c. M:-4.8971 c. 
 22:  2 3 17   N   T3   SD: 0.9905 c. M: 1.6432 c. 
 31:  3 4 24   N   T3   SD: 1.0213 c. M:-1.2779 c. 
 52:  5 7 40   N   T3   SD: 0.9124 c. M:-1.2485 c. 
 53:  5 7 41   N   T3   SD: 0.5326 c. M: 0.9201 c. 
 74:  7 10 57   N   T3   SD: 0.4363 c. M:-0.7307 c. 
 96:  9 13 74   N   T3   SD: 0.2915 c. M:-0.4503 c. 
 105: 10 14 81   N   T3   SD: 0.3091 c. M:-0.5128 c. 
 127: 12 17 98   N   T3   SD: 0.0840 c. M:-0.1393 c. 
 149: 14 20 115   N   T3   SD: 0.0747 c. M: 0.1238 c. 
 276: 26 37 213   N   T3   SD: 0.0017 c. M: 0.0027 c. 

 1 x x 2  S SD: 701.9550 cents
 2 x x 3  S SD: 203.9100 cents
 3 x x 4  S SD: 0.0000 cents
 4 x x 5  S SD: 111.7313 cents
 5 x x 7    SD: 84.4672 cents
 6 x 7:8  S SD: 76.5929 cents
 7 x 8:9  S SD: 66.6479 cents
 8 x 9:11    SD: 52.3893 cents
 9 x 10:12  S SD: 34.3594 cents
 10 x 11:13    SD: 33.7447 cents
 11 x 12:15  S SD: 26.8287 cents
 12 x 13:16    SD: 12.4438 cents
 13 x 14:17    SD: 18.3280 cents
 14 x 15:19    SD: 15.5892 cents
 15 x 16:20  S SD: 0.9769 cents
 16 x 17:21    SD: 14.3138 cents
 17 x 18:23    SD: 14.6267 cents
 18 x 19:24    SD: 10.0410 cents
 19 x 20:25  S SD: 16.9192 cents
 20 x 21:27    SD: 18.1397 cents
 21 x 22:28    SD: 16.5740 cents
 22:23 x 29    SD: 17.9837 cents
 23:24:25:31    SD: 14.9330 cents
 24:25:26:32    SD: 11.4677 cents
 25:26:27:33    SD: 11.1814 cents
 26:27:28:35  S SD: 9.5871 cents
 27:28:29:36    SD: 6.3057 cents
 30:31:32:40  S SD: 3.3463 cents
 42:43:45:56    SD: 2.8163 cents
 69:71:74:92    SD: 2.6181 cents
 71:73:76:95    SD: 2.4827 cents
 72:74:77:96    SD: 0.8667 cents
 75:77:80:100    SD: 0.7932 cents
 147:151:157:196    SD: 0.1695 cents
 399:410:426:532    SD: 0.1218 cents
 471:484:503:628    SD: 0.0812 cents
 546:561:583:728    SD: 0.0570 cents