Scala analysis: xen18-erlich-hanson-04

  0:          1/1               0.000000 unison, perfect prime
  1:        317.070 cents     317.070000
  2:        566.150 cents     566.150000
  3:        883.220 cents     883.220000
  4:       1200.290 cents    1200.290000

  0:        317.0700 cents    317.0700
  1:        317.0700 cents    317.0700
  2:        249.0800 cents    249.0800
  3:        317.0700 cents    317.0700
  4:        317.0700 cents    317.0700

Interval class, Number of incidences, Size:
  1:   1 249.08000 cents
  1:   3 317.07000 cents
  2:   2 566.15000 cents
  2:   2 634.14000 cents
  3:   3 883.22000 cents
  3:   1 951.21000 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   : 317.1 566.1 883.2 1200.3
 317.1 : 249.1 566.1 883.2 1200.3
 566.1 : 317.1 634.1 951.2 1200.3
 883.2 : 317.1 634.1 883.2 1200.3
 1200.3

Interval class, Interval span, Span size, Gap to prev. class:
  1:  249.0800  .. 317.0700 cents      67.99000 cents                     249.08000 cents
  2:  566.1500  .. 634.1400 cents      67.99000 cents                     249.08000 cents
  3:  883.2200  .. 951.2100 cents      67.99000 cents                     249.08000 cents

Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 249.08000 cents, class 1
Average step (divided formal octave): 300.0725 cents
Largest one step interval           : 317.07000 cents
Average / Smallest step             : 1.204723
Largest / Average step              : 1.056645
Largest / Smallest step             : 1.272965
Median interval of one step         : 317.07000 cents, amount: 3
Most common interval of one step    : 317.07000 cents, amount: 3
Least squares average step          : 296.67300 cents, oct.:  1186.69200 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 67.99000 cents and 181.09000 cents, ratio: 2.663480
  generators: 1 of 317.07000 cents and 3 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 1518-tone equal temperament with octave  1200.290 cents
  degrees: 401 716 1117 1518
  generators: 401 and 1117
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABAA
Step pattern size order : LSLL
Scale is a Constant Structure, by a margin of 249.08000 cents
Scale diversity                     : 1.229080
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.830066
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        : 67.99000 cents
Most common intervals               : 317.07000 cents & inv., amount: 3
Scale is a chain of 2 triads 0.0 317.070 883.220 cents
Most common triad is 0.0 317.070 883.220 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 inverse transpositions      :
 3
Inversional symmetry on intervals   :
 1-2 3-4
-- Rational properties --

  4:  1 1 1 1  SP B ME I SD: 20.8176 c. M:-33.9950 c. 
 11:  3 2 3 3  SP M ME   SD: 12.5926 c. M: 20.5636 c. 
 15:  4 3 4 4  SP M ME   SD: 3.6832 c. M: 6.0147 c. 
 19:  5 4 5 5  SP M ME   SD: 1.4749 c. M:-2.4084 c.  Four out of 19
 34:  9 7 9 9  SP M DE   SD: 0.8008 c. M: 1.3076 c. 
 53:  14 11 14 14  SP M DE   SD: 0.0150 c. M:-0.0245 c. 
 935: 247 194 247 247  SP M DE   SD: 0.0146 c. M: 0.0239 c. 
 988: 261 205 261 261  SP M DE   SD: 0.0131 c. M: 0.0213 c. 
 1041: 275 216 275 275  SP M DE   SD: 0.0116 c. M: 0.0190 c. 
 1094: 289 227 289 289  SP M DE   SD: 0.0103 c. M: 0.0169 c. 
 1147: 303 238 303 303  SP M DE   SD: 0.0092 c. M: 0.0150 c. 
 1200: 317 249 317 317  SP M DE   SD: 0.0081 c. M: 0.0132 c. 
 1253: 331 260 331 331  SP M DE   SD: 0.0071 c. M: 0.0116 c. 
 1306: 345 271 345 345  SP M DE   SD: 0.0062 c. M: 0.0102 c. 
 1359: 359 282 359 359  SP M DE   SD: 0.0054 c. M: 0.0088 c. 
 1412: 373 293 373 373  SP M DE   SD: 0.0046 c. M: 0.0075 c. 
 1465: 387 304 387 387  SP M DE   SD: 0.0039 c. M: 0.0064 c. 
 1518: 401 315 401 401  SP M DE   SD: 0.0033 c. M: 0.0053 c. 
 1571: 415 326 415 415  SP M DE   SD: 0.0026 c. M: 0.0043 c. 
 1624: 429 337 429 429  SP M DE   SD: 0.0021 c. M: 0.0034 c. 
 1677: 443 348 443 443  SP M DE   SD: 0.0015 c. M: 0.0025 c. 
 1730: 457 359 457 457  SP M DE   SD: 0.0010 c. M: 0.0017 c. 
 1783: 471 370 471 471  SP M DE   SD: 0.0005 c. M: 0.0009 c. 
 1836: 485 381 485 485  SP M DE   SD: 0.0001 c. M: 0.0001 c. 

 1 x x x 2  S SD: 0.2900 cents
 2 x 3 x 4  S SD: 67.9027 cents
 3 x 4:5:6  S SD: 22.7050 cents
 5:6:7:8:10  S SD: 17.8619 cents
 10:12:14:17:20    SD: 9.7613 cents
 15:18:21:25:30    SD: 4.1166 cents
 31:37:43:52:62    SD: 4.0820 cents
 34:41:47:57:68    SD: 3.6096 cents
 36:43:50:60:72    SD: 2.4686 cents
 39:47:54:65:78    SD: 1.6675 cents
 54:65:75:90:108    SD: 1.2050 cents
 60:72:83:100:120    SD: 1.1867 cents
 75:90:104:125:150    SD: 0.4653 cents
 129:155:179:215:258    SD: 0.4291 cents
 189:227:262:315:378    SD: 0.3471 cents
 194:233:269:323:388    SD: 0.1921 cents
 269:323:373:448:538    SD: 0.1379 cents
 323:388:448:538:646    SD: 0.1272 cents
 398:478:552:663:796    SD: 0.1041 cents
 592:711:821:986:1184    SD: 0.0734 cents