Scala analysis: xen18-erlich-keemun-03

  0:          1/1               0.000000 unison, perfect prime
  1:        317.840 cents     317.840000
  2:        885.350 cents     885.350000
  3:       1203.190 cents    1203.190000

  0:        317.8400 cents    317.8400
  1:        317.8400 cents    317.8400
  2:        567.5100 cents    567.5100
  3:        317.8400 cents    317.8400

Interval class, Number of incidences, Size:
  1:   2 317.84000 cents
  1:   1 567.51000 cents
  2:   1 635.68000 cents
  2:   2 885.35000 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   : 317.8 885.3 1203.2
 317.8 : 567.5 885.3 1203.2
 885.3 : 317.8 635.7 1203.2
 1203.2

Interval class, Interval span, Span size, Gap to prev. class:
  1:  317.8400  .. 567.5100 cents      249.67000 cents                    317.84000 cents
  2:  635.6800  .. 885.3500 cents      249.67000 cents                    68.17000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 317.84000 cents, class 1
Average step (divided formal octave): 401.0633 cents
Largest one step interval           : 567.51000 cents
Average / Smallest step             : 1.261840
Largest / Average step              : 1.415013
Largest / Smallest step             : 1.785521
Median interval of one step         : 317.84000 cents, amount: 2
Most common interval of one step    : 317.84000 cents, amount: 2
Least squares average step          : 407.00786 cents, oct.:  1221.02357 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 249.67000 cents and 68.17000 cents, ratio: 3.662461
  generators: 1 of 317.84000 cents and 2 of 885.35000 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 1041-tone equal temperament with octave  1203.190 cents
  degrees: 275 766 1041
  generators: 275 and 766
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 68.17000 cents
Scale diversity                     : 1.336549
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.584987
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        : 68.17000 cents
Most common intervals               : 317.84000 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: 67.9516 c. M: 83.2233 c. 
  4:  1 2 1   P M ME I SD: 13.9151 c. M: 17.0425 c. 
 11:  3 5 3  SP M DE I SD: 8.4121 c. M: 10.3027 c. 
 15:  4 7 4  SP M DE I SD: 2.4582 c. M: 3.0107 c. 
 19:  5 9 5  SP M DE I SD: 0.9888 c. M: 1.2111 c. 
 34:  9 16 9  SP M DE I SD: 0.5319 c. M: 0.6515 c. 
 53:  14 25 14  SP M DE I SD: 0.0132 c. M: 0.0162 c. 
 723: 191 341 191  SP M DE I SD: 0.0124 c. M: 0.0152 c. 
 776: 205 366 205  SP M DE I SD: 0.0106 c. M: 0.0130 c. 
 829: 219 391 219  SP M DE I SD: 0.0091 c. M:-0.0112 c. 
 882: 233 416 233  SP M DE I SD: 0.0078 c. M:-0.0095 c. 
 935: 247 441 247  SP M DE I SD: 0.0066 c. M: 0.0081 c. 
 988: 261 466 261  SP M DE I SD: 0.0055 c. M: 0.0068 c. 
 1041: 275 491 275  SP M DE I SD: 0.0046 c. M: 0.0056 c. 
 1094: 289 516 289  SP M DE I SD: 0.0037 c. M: 0.0045 c. 
 1147: 303 541 303  SP M DE I SD: 0.0029 c. M: 0.0036 c. 
 1200: 317 566 317  SP M DE I SD: 0.0022 c. M: 0.0027 c. 
 1253: 331 591 331  SP M DE I SD: 0.0015 c. M: 0.0019 c. 
 1306: 345 616 345  SP M DE I SD: 0.0009 c. M: 0.0012 c. 
 1359: 359 641 359  SP M DE I SD: 0.0004 c. M: 0.0005 c. 
 1412: 373 666 373  SP M DE I SD: 0.0001 c. M: 0.0001 c. 

 1 x x 2  S SD: 3.1900 cents
 2 x 3:4  S SD: 91.7114 cents
 3:4:5:6  H SD: 60.0787 cents
 4:5:7:8    SD: 36.0047 cents
 5:6:8:10  S SD: 23.9228 cents
 6:7:10:12    SD: 17.0261 cents
 9:11:15:18    SD: 9.9187 cents
 15:18:25:30    SD: 1.3330 cents
 69:83:115:138    SD: 1.2941 cents
 84:101:140:168    SD: 1.1869 cents
 99:119:165:198    SD: 1.1386 cents
 114:137:190:228    SD: 1.1189 cents
 129:155:215:258    SD: 1.1136 cents
 144:173:240:289    SD: 0.9956 cents
 154:185:257:309    SD: 0.9158 cents
 159:191:265:319    SD: 0.8282 cents
 169:203:282:339    SD: 0.7499 cents
 174:209:290:349    SD: 0.7020 cents
 183:220:305:367    SD: 0.6864 cents
 184:221:307:369    SD: 0.6204 cents
 189:227:315:379    SD: 0.6101 cents
 193:232:322:387    SD: 0.5703 cents
 198:238:330:397    SD: 0.5652 cents
 199:239:332:399    SD: 0.5221 cents
 208:250:347:417    SD: 0.4366 cents
 223:268:372:447    SD: 0.3226 cents
 238:286:397:477    SD: 0.2263 cents
 253:304:422:507    SD: 0.1492 cents
 268:322:447:537    SD: 0.1020 cents
 551:662:919:1104    SD: 0.0966 cents