Scala analysis: xen18-erlich-helmholtz-05

  0:          1/1               0.000000 unison, perfect prime
  1:        203.510 cents     203.510000
  2:        498.280 cents     498.280000
  3:        701.790 cents     701.790000
  4:        996.560 cents     996.560000
  5:       1200.070 cents    1200.070000

  0:        203.5100 cents    203.5100
  1:        203.5100 cents    203.5100
  2:        294.7700 cents    294.7700
  3:        203.5100 cents    203.5100
  4:        294.7700 cents    294.7700
  5:        203.5100 cents    203.5100

Interval class, Number of incidences, Size:
  1:   3 203.51000 cents
  1:   2 294.77000 cents
  2:   1 407.02000 cents
  2:   4 498.28000 cents
  3:   4 701.79000 cents
  3:   1 793.05000 cents
  4:   2 905.30000 cents
  4:   3 996.56000 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     4     5     
 0.0   : 203.5 498.3 701.8 996.6 1200.1
 203.5 : 294.8 498.3 793.0 996.6 1200.1
 498.3 : 203.5 498.3 701.8 905.3 1200.1
 701.8 : 294.8 498.3 701.8 996.6 1200.1
 996.6 : 203.5 407.0 701.8 905.3 1200.1
 1200.1

Interval class, Interval span, Span size, Gap to prev. class:
  1:  203.5100  .. 294.7700 cents      91.26000 cents                     203.51000 cents
  2:  407.0200  .. 498.2800 cents      91.26000 cents                     112.25000 cents
  3:  701.7900  .. 793.0500 cents      91.26000 cents                     203.51000 cents
  4:  905.3000  .. 996.5600 cents      91.26000 cents                     112.25000 cents

Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 203.51000 cents, class 1
Average step (divided formal octave): 240.0140 cents
Largest one step interval           : 294.77000 cents
Average / Smallest step             : 1.179372
Largest / Average step              : 1.228137
Largest / Smallest step             : 1.448430
Median interval of one step         : 203.51000 cents, amount: 3
Most common interval of one step    : 203.51000 cents, amount: 3
Least squares average step          : 241.67327 cents, oct.:  1208.36636 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 91.26000 cents and 112.25000 cents, ratio: 1.230002
  generators: 2 of 498.28000 cents and 3 of 701.79000 cents
ET pair of linear temperament       : 12&53
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 973-tone equal temperament with octave  1200.070 cents
  degrees: 165 404 569 808 973
  generators: 404 and 569
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABABA
Step pattern size order : SLSLS
Scale is a Constant Structure, by a margin of 112.25000 cents
Ratio Whole / Half tone             : 2.230002
Scale diversity                     : 1.282541
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.695818
Rothenberg efficiency               : 0.800000   redundancy: 0.200000
Efficiency x scale size             : 4.000000
Number of different interval sizes  : 8 = 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        : 91.26000 cents
Most common intervals               : 498.28000 cents & inv., amount: 4
Scale is a chain of 2 triads 0.0 498.280 996.560 cents
Most common triad is 0.0 498.280 701.790 cents, amount: 3
Number of recognisable fifths       : 4, average 701.7900 cents
Number of recognisable fourths      : 4, average 498.2800 cents
Best fifths form a closed circle
Formal octave complements present   : 5 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 2-3
-- Rational properties --

  5:  1 1 1 1 1  SP B ME I SD: 25.8122 c. M: 36.5040 c. 
  7:  1 2 1 2 1   P M ME I SD: 22.6779 c. M: 32.0714 c.  Thai mode 2
 12:  2 3 2 3 2  SP M ME I SD: 2.4737 c. M: 3.4983 c.  Suspended Pentatonic, Raga Madhyamavati, Madhmat Sarang, Megh, Egyptian, Shang, Rui Bin, Jin Yu, Qing Yu: China, Yo: Japan, Ngu Cung Dao: Vietnam, Yematebela wofe: Ethiopia
 29:  5 7 5 7 5  SP M DE I SD: 2.4032 c. M: 3.3986 c. 
 41:  7 10 7 10 7  SP M DE I SD: 0.9758 c. M: 1.3800 c. 
 53:  9 13 9 13 9  SP M DE I SD: 0.1948 c. M: 0.2755 c. 
 118: 20 29 20 29 20  SP M DE I SD: 0.0766 c. M: 0.1083 c. 
 171: 29 42 29 42 29  SP M DE I SD: 0.0075 c. M: 0.0106 c. 
 802: 136 197 136 197 136  SP M DE I SD: 0.0048 c. M: 0.0069 c. 
 973: 165 239 165 239 165  SP M DE I SD: 0.0027 c. M: 0.0038 c. 
 1144: 194 281 194 281 194  SP M DE I SD: 0.0011 c. M: 0.0016 c. 
 1315: 223 323 223 323 223  SP M DE I SD: 0.0000 c. M: 0.0000 c. 

 1 x x x x 2  S SD: 0.0700 cents
 2 x x 3 x 4  S SD: 0.0896 cents
 3 x 4 x 5:6  S SD: 37.4005 cents
 4 x 5:6:7:8  S SD: 28.8375 cents
 6:7:8:9:11:12    SD: 16.4959 cents
 8:9:11:12:14:16    SD: 11.9706 cents
 14:16:19:21:25:28    SD: 8.3483 cents
 16:18:21:24:28:32  S SD: 7.8117 cents
 18:20:24:27:32:36    SD: 4.2227 cents
 24:27:32:36:43:48    SD: 2.6024 cents
 40:45:53:60:71:80    SD: 2.3087 cents
 42:47:56:63:75:84    SD: 2.2776 cents
 48:54:64:72:85:96    SD: 1.4526 cents
 72:81:96:108:128:144    SD: 0.1369 cents
 384:432:512:576:683:768    SD: 0.1246 cents
 456:513:608:684:811:912    SD: 0.1106 cents
 474:533:632:711:843:948    SD: 0.1101 cents
 528:594:704:792:939:1056    SD: 0.1036 cents
 546:614:728:819:971:1092    SD: 0.0885 cents