Scala analysis: 703_S12

  0:          1/1               0.000000 unison, perfect prime
  1:        287.219 cents     287.218990
  2:        399.248 cents     399.247800
  3:        498.049 cents     498.049460

  0:         98.8017 cents     98.8017
  1:        287.2190 cents    287.2190
  2:        112.0288 cents    112.0288
  3:         98.8017 cents     98.8017

Interval class, Number of incidences, Size:
  1:   1 98.80166 cents
  1:   1 112.02881 cents
  1:   1 287.21899 cents
  2:   1 210.83047 cents
  2:   1 386.02065 cents
  2:   1 399.24780 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  : 287.2 399.2 498.0
 287.2: 112.0 210.8 498.0
 399.2: 98.8  386.0 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  98.8017   .. 287.2190 cents      188.41733 cents                    98.80166 cents
  2:  210.8305  .. 399.2478 cents      188.41733 cents                   -76.38852 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 98.80166 cents, class 1
Average step (divided formal octave): 166.0165 cents
Largest one step interval           : 287.21899 cents
Average / Smallest step             : 1.680301
Largest / Average step              : 1.730063
Largest / Smallest step             : 2.907026
Median interval of one step         : 112.02881 cents, amount: 1
Least squares average step          : 184.27593 cents, oct.:  552.82778 cents
Scale is not proper
Scale has trivalence property
Scale is a mode of a 1356-tone equal temperament with octave  498.049 cents
  degrees: 782 1087 1356
Least number of segments generator  : 679 of 249.392 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1205 of 442.588 cents and inv.
  generated superset size: 98 = 95 more = 3266.667%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : LMS
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 76.38852 cents
Scale diversity                     : 1.119134
Lumma stability                     : 0.396754
Lumma impropriety factor            : 0.153375
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        : 13.22715 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Steps are strictly decreasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions with margin 175.1902 cents:
 1
-- Rational properties --

  3:  2 0 1   N G T3   SD: 46.6409 c. M: 67.2148 c. 
  4:  2 1 1   P M ME S SD: 26.5822 c. M: 38.1943 c. 
  5:  3 1 1   N M DE S SD: 6.7197 c. M:-11.6107 c. 
 14:  8 3 3   N M DE S SD: 4.8180 c. M: 7.9232 c. 
 16:  9 4 3   N   T3   SD: 5.1406 c. M: 7.0662 c. 
 19:  11 4 4   N M DE S SD: 3.5534 c. M: 6.0509 c. 
 21:  12 5 4   N   T3   SD: 2.7292 c. M:-3.9351 c. 
 26:  15 6 5   N   T3   SD: 1.7466 c. M:-3.0229 c. 
 31:  18 7 6   N   T3   SD: 1.7953 c. M:-2.4050 c. 
 35:  20 8 7   N   T3   SD: 1.5826 c. M: 2.6193 c. 
 40:  23 9 8   N   T3   SD: 0.6732 c. M: 0.8406 c. 
 45:  26 10 9   N   T3   SD: 0.5621 c. M: 0.8082 c. 
 66:  38 15 13   N   T3   SD: 0.4851 c. M:-0.7010 c. 
 71:  41 16 14   N   T3   SD: 0.4097 c. M:-0.5947 c. 
 106: 61 24 21   N   T3   SD: 0.3578 c. M: 0.6056 c. 
 111: 64 25 22   N   T3   SD: 0.0606 c. M:-0.0892 c. 
 267: 154 60 53   N   T3   SD: 0.0444 c. M: 0.0621 c. 
 378: 218 85 75   N   T3   SD: 0.0137 c. M: 0.0177 c. 
 489: 282 110 97   N   T3   SD: 0.0038 c. M:-0.0066 c. 
 1356: 782 305 269   N   T3   SD: 0.0024 c. M:-0.0042 c. 
 1845: 1064 415 366   N   T3   SD: 0.0020 c. M:-0.0030 c. 
 2334: 1346 525 463   N   T3   SD: 0.0020 c. M:-0.0026 c. 

 1 x x 2  S SD: 701.9505 cents
 2 x x 3  S SD: 203.9055 cents
 3 x x 4  S SD: 0.0045 cents
 4 x 5 x  S SD: 12.9341 cents
 5:6 x 7  S SD: 44.5583 cents
 6:7 x 8  S SD: 10.1740 cents
 7:8:9 x  S SD: 33.2614 cents
 8:9:10:11  H SD: 33.2419 cents
 9 x 11:12    SD: 25.9199 cents
 10:12 x 13  S SD: 26.1217 cents
 11:13:14:15    SD: 14.3400 cents
 12:14:15:16  S SD: 8.0370 cents
 23:27:29:31    SD: 7.0479 cents
 27:32:34:36    SD: 2.3059 cents
 39:46:49:52    SD: 1.4404 cents
 66:78:83:88    SD: 1.0583 cents
 105:124:132:140    SD: 1.0511 cents
 111:131:140:148    SD: 0.8750 cents
 123:145:155:164    SD: 0.8613 cents
 138:163:174:184    SD: 0.7656 cents
 150:177:189:200    SD: 0.3646 cents
 177:209:223:236    SD: 0.2854 cents
 189:223:238:252    SD: 0.2816 cents
 216:255:272:288    SD: 0.0703 cents
 582:687:733:776    SD: 0.0421 cents