Scala analysis: xen18-erlich-miracle-03

  0:          1/1               0.000000 unison, perfect prime
  1:        116.720 cents     116.720000
  2:       1083.910 cents    1083.910000
  3:       1200.630 cents    1200.630000

  0:        116.7200 cents    116.7200
  1:        116.7200 cents    116.7200
  2:        967.1900 cents    967.1900
  3:        116.7200 cents    116.7200

Interval class, Number of incidences, Size:
  1:   2 116.72000 cents
  1:   1 967.19000 cents
  2:   1 233.44000 cents
  2:   2 1083.91000 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 2.00000 = 2

         1     2      3     
 0.0   : 116.7 1083.9 1200.6
 116.7 : 967.2 1083.9 1200.6
 1083.9: 116.7 233.4  1200.6
 1200.6

Interval class, Interval span, Span size, Gap to prev. class:
  1:  116.7200  .. 967.1900 cents      850.47000 cents                    116.72000 cents
  2:  233.4400  .. 1083.9100 cents     850.47000 cents                   -733.75000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 116.72000 cents, class 1
Average step (divided formal octave): 400.2100 cents
Largest one step interval           : 967.19000 cents
Average / Smallest step             : 3.428804
Largest / Average step              : 2.416706
Largest / Smallest step             : 8.286412
Median interval of one step         : 116.72000 cents, amount: 2
Most common interval of one step    : 116.72000 cents, amount: 2
Least squares average step          : 420.45929 cents, oct.:  1261.37786 cents
Scale is not proper
Scale has Myhill's property
  chromas: 850.47000 cents and 733.75000 cents, ratio: 1.159073
  generators: 1 of 116.72000 cents and 2 of 1083.91000 cents
ET pair of linear temperament       : 10&31
Scale is distributional even
Scale is a mode of a 1255-tone equal temperament with octave  1200.630 cents
  degrees: 122 1133 1255
  generators: 122 and 1133
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABA
Step pattern size order : SLS
Scale is a Constant Structure, by a margin of 116.72000 cents
Scale diversity                     : 0.808476
Lumma stability                     : 0.194431
Lumma impropriety factor            : 0.611137
Rothenberg efficiency               : 0.888889   redundancy: 0.111111
Efficiency x scale size             : 2.666667
Number of different interval sizes  : 4 = 2.00000 / class
Number of one step interval sizes   : 2
Highest interval variety            : 2
Mean interval variety               : 2.00000 = 2
Median interval variety             : 2
Lowest interval variety             : 2
Smallest interval difference        : 116.72000 cents
Most common intervals               : 116.72000 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Formal octave complements present   : 3 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 1-2
-- Rational properties --

  3:  0 3 0   N M DE I SD: 95.3015 c. M: 116.7200 c. 
  5:  0 4 1   N G T3   SD: 98.0690 c. M: 123.4060 c. 
  6:  1 4 1   N M DE I SD: 68.0836 c. M: 83.3850 c. 
  7:  1 5 1   N M DE I SD: 44.7428 c. M: 54.7986 c. 
  8:  1 6 1   N M DE I SD: 27.2373 c. M: 33.3588 c. 
  9:  1 7 1   N M DE I SD: 13.6219 c. M: 16.6833 c. 
 10:  1 8 1   N M DE I SD: 2.7295 c. M: 3.3430 c. 
 21:  2 17 2   N M DE I SD: 1.9386 c. M: 2.3743 c. 
 31:  3 25 3   N M DE I SD: 0.4327 c. M: 0.5300 c. 
 41:  4 33 4   N M DE I SD: 0.3385 c. M: 0.4146 c. 
 72:  7 58 7   N M DE I SD: 0.0065 c. M: 0.0079 c. 
 1111: 108 895 108   N M DE I SD: 0.0058 c. M: 0.0071 c. 
 1183: 115 953 115   N M DE I SD: 0.0050 c. M: 0.0062 c. 
 1255: 122 1011 122   N M DE I SD: 0.0044 c. M: 0.0054 c. 
 1327: 129 1069 129   N M DE I SD: 0.0038 c. M: 0.0046 c. 
 1399: 136 1127 136   N M DE I SD: 0.0033 c. M: 0.0040 c. 
 1471: 143 1185 143   N M DE I SD: 0.0028 c. M: 0.0034 c. 
 1543: 150 1243 150   N M DE I SD: 0.0024 c. M: 0.0029 c. 
 1615: 157 1301 157   N M DE I SD: 0.0020 c. M: 0.0024 c. 
 1687: 164 1359 164   N M DE I SD: 0.0016 c. M: 0.0020 c. 
 1759: 171 1417 171   N M DE I SD: 0.0013 c. M: 0.0016 c. 
 1831: 178 1475 178   N M DE I SD: 0.0010 c. M: 0.0012 c. 
 1903: 185 1533 185   N M DE I SD: 0.0007 c. M: 0.0008 c. 
 1975: 192 1591 192   N M DE I SD: 0.0004 c. M: 0.0005 c. 
 2047: 199 1649 199   N M DE I SD: 0.0002 c. M: 0.0002 c. 
 2119: 206 1707 206   N M DE I SD: 0.0000 c. M: 0.0000 c. 

 1 x x 2  S SD: 0.6300 cents
 2 x x 4  S SD: 0.6300 cents
 3:4 x 6  S SD: 190.6628 cents
 4:5:7:8    SD: 97.7102 cents
 5:6:9:10  S SD: 69.8948 cents
 6:7:11:12    SD: 51.3584 cents
 7:8:13:14    SD: 38.3684 cents
 8:9:15:16    SD: 29.1004 cents
 9:10:17:18    SD: 22.6283 cents
 10:11:19:20    SD: 18.4886 cents
 11:12:21:22    SD: 16.3801 cents
 12:13:22:24    SD: 13.6277 cents
 13:14:24:26    SD: 8.4322 cents
 14:15:26:28    SD: 4.1747 cents
 15:16:28:30    SD: 2.0145 cents
 55:59:103:110    SD: 1.7868 cents
 56:60:105:112    SD: 1.7259 cents
 69:74:129:138    SD: 1.4965 cents
 70:75:131:140    SD: 0.9961 cents
 85:91:159:170    SD: 0.5096 cents
 100:107:187:200    SD: 0.2661 cents
 201:215:376:402    SD: 0.2430 cents
 301:322:563:602    SD: 0.2152 cents
 401:429:750:802    SD: 0.2148 cents
 416:445:778:832    SD: 0.2127 cents