Scala analysis: xen18-erlich-hanson-03

  0:          1/1               0.000000 unison, perfect prime
  1:        317.070 cents     317.070000
  2:        883.220 cents     883.220000
  3:       1200.290 cents    1200.290000

  0:        317.0700 cents    317.0700
  1:        317.0700 cents    317.0700
  2:        566.1500 cents    566.1500
  3:        317.0700 cents    317.0700

Interval class, Number of incidences, Size:
  1:   2 317.07000 cents
  1:   1 566.15000 cents
  2:   1 634.14000 cents
  2:   2 883.22000 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   : 317.1 883.2 1200.3
 317.1 : 566.1 883.2 1200.3
 883.2 : 317.1 634.1 1200.3
 1200.3

Interval class, Interval span, Span size, Gap to prev. class:
  1:  317.0700  .. 566.1500 cents      249.08000 cents                    317.07000 cents
  2:  634.1400  .. 883.2200 cents      249.08000 cents                    67.99000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 317.07000 cents, class 1
Average step (divided formal octave): 400.0967 cents
Largest one step interval           : 566.15000 cents
Average / Smallest step             : 1.261856
Largest / Average step              : 1.415033
Largest / Smallest step             : 1.785568
Median interval of one step         : 317.07000 cents, amount: 2
Most common interval of one step    : 317.07000 cents, amount: 2
Least squares average step          : 406.02714 cents, oct.:  1218.08143 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 249.08000 cents and 67.99000 cents, ratio: 3.663480
  generators: 1 of 317.07000 cents and 2 of 883.22000 cents
ET pair of linear temperament       : 15&19
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 1253-tone equal temperament with octave  1200.290 cents
  degrees: 331 922 1253
  generators: 331 and 922
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 67.99000 cents
Scale diversity                     : 1.341624
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.584967
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        : 67.99000 cents
Most common intervals               : 317.07000 cents & inv., 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 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 1-2
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 67.7910 c. M:-83.0267 c. 
  4:  1 2 1   P M ME I SD: 13.8784 c. M:-16.9975 c. 
 11:  3 5 3  SP M DE I SD: 8.3951 c. M:-10.2818 c. 
 15:  4 7 4  SP M DE I SD: 2.4555 c. M:-3.0073 c. 
 19:  5 9 5  SP M DE I SD: 0.9832 c. M:-1.2042 c. 
 34:  9 16 9  SP M DE I SD: 0.5338 c. M:-0.6538 c. 
 53:  14 25 14  SP M DE I SD: 0.0100 c. M:-0.0123 c. 
 935: 247 441 247  SP M DE I SD: 0.0098 c. M:-0.0120 c. 
 988: 261 466 261  SP M DE I SD: 0.0087 c. M:-0.0107 c. 
 1041: 275 491 275  SP M DE I SD: 0.0077 c. M:-0.0095 c. 
 1094: 289 516 289  SP M DE I SD: 0.0069 c. M:-0.0084 c. 
 1147: 303 541 303  SP M DE I SD: 0.0061 c. M:-0.0075 c. 
 1200: 317 566 317  SP M DE I SD: 0.0054 c. M:-0.0066 c. 
 1253: 331 591 331  SP M DE I SD: 0.0047 c. M:-0.0058 c. 
 1306: 345 616 345  SP M DE I SD: 0.0041 c. M:-0.0051 c. 
 1359: 359 641 359  SP M DE I SD: 0.0036 c. M:-0.0044 c. 
 1412: 373 666 373  SP M DE I SD: 0.0031 c. M:-0.0038 c. 
 1465: 387 691 387  SP M DE I SD: 0.0026 c. M:-0.0032 c. 
 1518: 401 716 401  SP M DE I SD: 0.0022 c. M:-0.0027 c. 
 1571: 415 741 415  SP M DE I SD: 0.0018 c. M:-0.0022 c. 
 1624: 429 766 429  SP M DE I SD: 0.0014 c. M:-0.0017 c. 
 1677: 443 791 443  SP M DE I SD: 0.0010 c. M:-0.0012 c. 
 1730: 457 816 457  SP M DE I SD: 0.0007 c. M:-0.0008 c. 
 1783: 471 841 471  SP M DE I SD: 0.0004 c. M:-0.0004 c. 
 1836: 485 866 485  SP M DE I SD: 0.0001 c. M:-0.0001 c. 

 1 x x 2  S SD: 0.2900 cents
 2 x 3:4  S SD: 90.6326 cents
 3:4:5:6  H SD: 60.3263 cents
 4:5:7:8    SD: 36.7017 cents
 5:6:8:10  S SD: 23.1830 cents
 6:7:10:12    SD: 16.7376 cents
 9:11:15:18    SD: 10.1202 cents
 15:18:25:30    SD: 0.6166 cents
 114:137:190:228    SD: 0.5366 cents
 129:155:215:258    SD: 0.4751 cents
 144:173:240:288    SD: 0.4359 cents
 159:191:265:318    SD: 0.4122 cents
 164:197:273:328    SD: 0.3561 cents
 179:215:298:358    SD: 0.2891 cents
 194:233:323:388    SD: 0.2371 cents
 209:251:348:418    SD: 0.1988 cents
 224:269:373:448    SD: 0.1733 cents
 239:287:398:478    SD: 0.1598 cents
 254:305:423:508    SD: 0.1566 cents
 323:388:538:646    SD: 0.1549 cents
 338:406:563:676    SD: 0.1391 cents
 353:424:588:706    SD: 0.1296 cents
 368:442:613:736    SD: 0.1258 cents
 547:657:911:1094    SD: 0.1173 cents
 562:675:936:1124    SD: 0.1081 cents
 577:693:961:1154    SD: 0.1016 cents
 592:711:986:1184    SD: 0.0978 cents