Scala analysis: xen18-erlich-myna-04

  0:          1/1               0.000000 unison, perfect prime
  1:        309.890 cents     309.890000
  2:        619.780 cents     619.780000
  3:        888.940 cents     888.940000
  4:       1198.830 cents    1198.830000

  0:        309.8900 cents    309.8900
  1:        309.8900 cents    309.8900
  2:        309.8900 cents    309.8900
  3:        269.1600 cents    269.1600
  4:        309.8900 cents    309.8900

Interval class, Number of incidences, Size:
  1:   1 269.16000 cents
  1:   3 309.89000 cents
  2:   2 579.05000 cents
  2:   2 619.78000 cents
  3:   3 888.94000 cents
  3:   1 929.67000 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     
 0.0   : 309.9 619.8 888.9 1198.8
 309.9 : 309.9 579.1 888.9 1198.8
 619.8 : 269.2 579.0 888.9 1198.8
 888.9 : 309.9 619.8 929.7 1198.8
 1198.8

Interval class, Interval span, Span size, Gap to prev. class:
  1:  269.1600  .. 309.8900 cents      40.73000 cents                     269.16000 cents
  2:  579.0500  .. 619.7800 cents      40.73000 cents                     269.16000 cents
  3:  888.9400  .. 929.6700 cents      40.73000 cents                     269.16000 cents

Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 269.16000 cents, class 1
Average step (divided formal octave): 299.7075 cents
Largest one step interval           : 309.89000 cents
Average / Smallest step             : 1.113492
Largest / Average step              : 1.033975
Largest / Smallest step             : 1.151323
Median interval of one step         : 309.89000 cents, amount: 3
Most common interval of one step    : 309.89000 cents, amount: 3
Least squares average step          : 300.38633 cents, oct.:  1201.54533 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 40.73000 cents and 228.43000 cents, ratio: 5.608397
  generators: 1 of 309.89000 cents and 3 of 888.94000 cents
ET pair of linear temperament       : 27&31
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 677-tone equal temperament with octave  1198.830 cents
  degrees: 175 350 502 677
  generators: 175 and 502
Number of contiguous 1-step segments: 0
Step pattern alph. order: AABA
Step pattern size order : LLSL
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 269.16000 cents
Scale diversity                     : 1.144346
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.898076
Rothenberg efficiency               : 0.833333   redundancy: 0.166667
Efficiency x scale size             : 3.333333
Number of different interval sizes  : 6 = 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        : 40.73000 cents
Most common intervals               : 309.89000 cents & inv., amount: 3
Scale is a chain of 2 triads 0.0 309.890 888.940 cents
Most common triad is 0.0 309.890 888.940 cents, amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best major thirds form a closed circle
Best minor thirds form a closed circle
Formal octave complements present   : 3 = 75.0000%
2/1 octave complements present      : 0 = 0.0000%
Limited transpositions with margin 40.7300 cents:
 1 2 3
Limited inverse transpositions      :
 1
Inversional symmetry on intervals   :
 0-1 2-3
-- Rational properties --

  4:  1 1 1 1  SP B ME I SD: 12.4710 c. M: 20.3650 c. 
 15:  4 4 3 4  SP M ME   SD: 12.0001 c. M:-19.5960 c. 
 19:  5 5 4 5  SP M ME   SD: 6.8483 c. M:-11.1832 c. 
 23:  6 6 5 6  SP M ME   SD: 3.4884 c. M:-5.6965 c. 
 27:  7 7 6 7  SP M ME   SD: 1.1240 c. M:-1.8356 c. 
 31:  8 8 7 8  SP M ME   SD: 0.6302 c. M: 1.0290 c. 
 58:  15 15 13 15  SP M DE   SD: 0.1865 c. M:-0.3045 c. 
 89:  23 23 20 23  SP M DE   SD: 0.0980 c. M: 0.1600 c. 
 147: 38 38 33 38  SP M DE   SD: 0.0142 c. M:-0.0233 c. 
 383: 99 99 86 99  SP M DE   SD: 0.0118 c. M: 0.0193 c. 
 530: 137 137 119 137  SP M DE   SD: 0.0046 c. M: 0.0075 c. 
 677: 175 175 152 175  SP M DE   SD: 0.0005 c. M: 0.0008 c. 
 2178: 563 563 489 563  SP M DE   SD: 0.0005 c. M:-0.0008 c. 

 1 x x x 2  S SD: 1.1700 cents
 2 x 3 x 4  S SD: 41.0917 cents
 3 x 4:5:6  S SD: 40.6089 cents
 4:5:6:7:8  H SD: 34.4388 cents
 5:6:7:8:10  S SD: 21.0453 cents
 9:11:13:15:18    SD: 10.3485 cents
 14:17:20:23:28    SD: 9.8897 cents
 15:18:21:25:30    SD: 9.5011 cents
 16:19:23:27:32    SD: 5.6633 cents
 21:25:30:35:42    SD: 2.4019 cents
 30:36:43:50:60    SD: 2.0535 cents
 46:55:66:77:92    SD: 1.5303 cents
 51:61:73:85:102    SD: 1.2138 cents
 67:80:96:112:134    SD: 1.0678 cents
 91:109:130:152:182    SD: 0.9313 cents
 97:116:139:162:194    SD: 0.8577 cents
 107:128:153:179:214    SD: 0.5850 cents
 128:153:183:214:256    SD: 0.4985 cents
 158:189:226:264:316    SD: 0.3052 cents
 383:458:548:640:765    SD: 0.3013 cents
 413:494:591:690:825    SD: 0.3008 cents
 423:506:605:707:845    SD: 0.2521 cents
 444:531:635:742:887    SD: 0.2161 cents
 474:567:678:792:947    SD: 0.1860 cents
 490:586:701:819:979    SD: 0.1835 cents
 495:592:708:827:989    SD: 0.1826 cents
 511:611:731:854:1021    SD: 0.1816 cents
 520:622:744:869:1039    SD: 0.1629 cents
 541:647:774:904:1081    SD: 0.1331 cents
 581:695:831:971:1161    SD: 0.1266 cents