Scala analysis: xen18-erlich-cynder-04

  0:          1/1               0.000000 unison, perfect prime
  1:        232.520 cents     232.520000
  2:        465.040 cents     465.040000
  3:        969.180 cents     969.180000
  4:       1201.700 cents    1201.700000

  0:        232.5200 cents    232.5200
  1:        232.5200 cents    232.5200
  2:        232.5200 cents    232.5200
  3:        504.1400 cents    504.1400
  4:        232.5200 cents    232.5200

Interval class, Number of incidences, Size:
  1:   3 232.52000 cents
  1:   1 504.14000 cents
  2:   2 465.04000 cents
  2:   2 736.66000 cents
  3:   1 697.56000 cents
  3:   3 969.18000 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   : 232.5 465.0 969.2 1201.7
 232.5 : 232.5 736.7 969.2 1201.7
 465.0 : 504.1 736.7 969.2 1201.7
 969.2 : 232.5 465.0 697.6 1201.7
 1201.7

Interval class, Interval span, Span size, Gap to prev. class:
  1:  232.5200  .. 504.1400 cents      271.62000 cents                    232.52000 cents
  2:  465.0400  .. 736.6600 cents      271.62000 cents                   -39.10000 cents
  3:  697.5600  .. 969.1800 cents      271.62000 cents                   -39.10000 cents

Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 232.52000 cents, class 1
Average step (divided formal octave): 300.4250 cents
Largest one step interval           : 504.14000 cents
Average / Smallest step             : 1.292039
Largest / Average step              : 1.678089
Largest / Smallest step             : 2.168158
Median interval of one step         : 232.52000 cents, amount: 3
Most common interval of one step    : 232.52000 cents, amount: 3
Least squares average step          : 295.89800 cents, oct.:  1183.59200 cents
Scale is not proper
Scale has Myhill's property
  chromas: 271.62000 cents and 39.10000 cents, ratio: 6.946803
  generators: 1 of 232.52000 cents and 3 of 969.18000 cents
ET pair of linear temperament       : 26&31
Scale is distributional even
Scale is a mode of a 584-tone equal temperament with octave  1201.700 cents
  degrees: 113 226 471 584
  generators: 113 and 471
Number of contiguous 1-step segments: 0
Step pattern alph. order: AABA
Step pattern size order : SSLS
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 39.10000 cents
Scale diversity                     : 1.243683
Lumma stability                     : 0.386985
Lumma impropriety factor            : 0.065074
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        : 39.10000 cents
Most common intervals               : 232.52000 cents & inv., amount: 3
Scale is a chain of 2 triads 0.0 232.520 969.180 cents
Number of recognisable fifths       : 1, average 697.5600 cents
Number of recognisable fourths      : 1, average 504.1400 cents
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      :
 1
Inversional symmetry on intervals   :
 0-1 2-3
-- Rational properties --

  4:  1 1 1 1  SP B ME I SD: 83.1663 c. M:-135.8100 c. 
  5:  1 1 2 1   P M ME   SD: 9.5775 c. M:-15.6400 c. 
 16:  3 3 7 3   N M DE   SD: 8.8197 c. M: 14.4025 c. 
 21:  4 4 9 4   N M DE   SD: 4.4394 c. M: 7.2495 c. 
 26:  5 5 11 5   N M DE   SD: 1.7438 c. M: 2.8477 c. 
 31:  6 6 13 6   N M DE   SD: 0.0822 c. M:-0.1342 c. 
 305: 59 59 128 59   N M DE   SD: 0.0735 c. M: 0.1200 c. 
 336: 65 65 141 65   N M DE   SD: 0.0591 c. M: 0.0965 c. 
 367: 71 71 154 71   N M DE   SD: 0.0472 c. M: 0.0771 c. 
 398: 77 77 167 77   N M DE   SD: 0.0371 c. M: 0.0606 c. 
 429: 83 83 180 83   N M DE   SD: 0.0285 c. M: 0.0465 c. 
 460: 89 89 193 89   N M DE   SD: 0.0210 c. M: 0.0343 c. 
 491: 95 95 206 95   N M DE   SD: 0.0145 c. M: 0.0237 c. 
 522: 101 101 219 101   N M DE   SD: 0.0088 c. M: 0.0143 c. 
 553: 107 107 232 107   N M DE   SD: 0.0037 c. M: 0.0060 c. 
 584: 113 113 245 113   N M DE   SD: 0.0009 c. M:-0.0014 c. 
 1721: 333 333 722 333   N M DE   SD: 0.0006 c. M: 0.0010 c. 
 2305: 446 446 967 446   N M DE   SD: 0.0002 c. M: 0.0003 c. 

 1 x x x 2  S SD: 1.7000 cents
 2 x 3 x 4  S SD: 118.4606 cents
 3 x 4:5:6  S SD: 30.3441 cents
 4 x 5:7:8    SD: 26.2485 cents
 6:7:8:11:12    SD: 23.3205 cents
 7:8:9:12:14  S SD: 11.7306 cents
 13:15:17:23:26    SD: 6.0191 cents
 20:23:26:35:40    SD: 3.6172 cents
 29:33:38:51:58    SD: 3.1187 cents
 35:40:46:61:70    SD: 2.8007 cents
 36:41:47:63:72    SD: 2.0790 cents
 48:55:63:84:96    SD: 1.6944 cents
 49:56:64:86:98    SD: 1.4557 cents
 68:78:89:119:136    SD: 1.3433 cents
 84:96:110:147:168    SD: 0.7118 cents
 104:119:136:182:208    SD: 0.4955 cents
 188:215:246:329:376    SD: 0.4524 cents
 285:326:373:499:571    SD: 0.4139 cents
 292:334:382:511:585    SD: 0.3301 cents
 321:367:420:562:643    SD: 0.3287 cents
 328:375:429:574:657    SD: 0.3128 cents
 341:390:446:597:683    SD: 0.2426 cents
 376:430:492:658:753    SD: 0.2159 cents
 389:445:509:681:779    SD: 0.2010 cents
 396:453:518:693:793    SD: 0.1687 cents
 425:486:556:744:851    SD: 0.1331 cents
 445:509:582:779:891    SD: 0.1274 cents
 480:549:628:840:961    SD: 0.1095 cents
 529:605:692:926:1059    SD: 0.0450 cents