Scala analysis: xen18-erlich-sensisept-05

  0:          1/1               0.000000 unison, perfect prime
  1:        312.070 cents     312.070000
  2:        443.160 cents     443.160000
  3:        755.230 cents     755.230000
  4:        886.320 cents     886.320000
  5:       1198.390 cents    1198.390000

  0:        312.0700 cents    312.0700
  1:        312.0700 cents    312.0700
  2:        131.0900 cents    131.0900
  3:        312.0700 cents    312.0700
  4:        131.0900 cents    131.0900
  5:        312.0700 cents    312.0700

Interval class, Number of incidences, Size:
  1:   2 131.09000 cents
  1:   3 312.07000 cents
  2:   4 443.16000 cents
  2:   1 624.14000 cents
  3:   1 574.25000 cents
  3:   4 755.23000 cents
  4:   3 886.32000 cents
  4:   2 1067.30000 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      5     
 0.0   : 312.1 443.2 755.2 886.3  1198.4
 312.1 : 131.1 443.2 574.2 886.3  1198.4
 443.2 : 312.1 443.2 755.2 1067.3 1198.4
 755.2 : 131.1 443.2 755.2 886.3  1198.4
 886.3 : 312.1 624.1 755.2 1067.3 1198.4
 1198.4

Interval class, Interval span, Span size, Gap to prev. class:
  1:  131.0900  .. 312.0700 cents      180.98000 cents                    131.09000 cents
  2:  443.1600  .. 624.1400 cents      180.98000 cents                    131.09000 cents
  3:  574.2500  .. 755.2300 cents      180.98000 cents                   -49.89000 cents
  4:  886.3200  .. 1067.3000 cents     180.98000 cents                    131.09000 cents

Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 131.09000 cents, class 1
Average step (divided formal octave): 239.6780 cents
Largest one step interval           : 312.07000 cents
Average / Smallest step             : 1.828347
Largest / Average step              : 1.302039
Largest / Smallest step             : 2.380578
Median interval of one step         : 312.07000 cents, amount: 3
Most common interval of one step    : 312.07000 cents, amount: 3
Least squares average step          : 236.38745 cents, oct.:  1181.93727 cents
Scale is not proper
Scale has Myhill's property
  chromas: 180.98000 cents and 49.89000 cents, ratio: 3.627581
  generators: 2 of 443.16000 cents and 3 of 755.23000 cents
ET pair of linear temperament       : 19&27
Scale is distributional even
Scale is a mode of a 841-tone equal temperament with octave  1198.390 cents
  degrees: 219 311 530 622 841
  generators: 311 and 530
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABABA
Step pattern size order : LSLSL
Scale is a Constant Structure, by a margin of 49.89000 cents
Scale diversity                     : 1.323377
Lumma stability                     : 0.437554
Lumma impropriety factor            : 0.041631
Rothenberg efficiency               : 0.800000   redundancy: 0.200000
Efficiency x scale size             : 4.000000
Number of different interval sizes  : 8 = 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        : 49.89000 cents
Most common intervals               : 443.16000 cents & inv., amount: 4
Scale is a chain of 2 triads 0.0 443.160 886.320 cents
Most common triad is 0.0 443.160 755.230 cents, amount: 3
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
Formal octave complements present   : 5 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 2-3
-- Rational properties --

  5:  1 1 1 1 1  SP B ME I SD: 51.1889 c. M: 72.3920 c. 
  7:  2 1 1 1 2   N   D3 I SD: 48.5012 c. M:-70.4357 c. 
  8:  2 1 2 1 2   P M ME I SD: 8.8194 c. M: 12.4725 c. 
 19:  5 2 5 2 5   N M DE I SD: 2.3305 c. M: 3.2958 c. 
 27:  7 3 7 3 7   N M DE I SD: 0.9732 c. M: 1.3763 c. 
 46:  12 5 12 5 12   N M DE I SD: 0.3914 c. M:-0.5535 c. 
 73:  19 8 19 8 19   N M DE I SD: 0.1133 c. M: 0.1603 c. 
 119: 31 13 31 13 31   N M DE I SD: 0.0818 c. M:-0.1156 c. 
 192: 50 21 50 21 50   N M DE I SD: 0.0076 c. M:-0.0107 c. 
 649: 169 71 169 71 169   N M DE I SD: 0.0060 c. M: 0.0085 c. 
 841: 219 92 219 92 219   N M DE I SD: 0.0029 c. M: 0.0041 c. 
 1033: 269 113 269 113 269   N M DE I SD: 0.0010 c. M: 0.0014 c. 
 1225: 319 134 319 134 319   N M DE I SD: 0.0004 c. M: 0.0005 c. 
 2258: 588 247 588 247 588   N M DE I SD: 0.0002 c. M: 0.0003 c. 

 1 x x x x 2  S SD: 1.6100 cents
 2 x x 3 x 4  S SD: 26.6497 cents
 3 x 4 x 5:6  S SD: 18.3145 cents
 4 x 5:6:7:8  S SD: 28.3720 cents
 5:6 x 8 x 10  S SD: 19.5291 cents
 6:7:8:9:10:12  S SD: 17.7764 cents
 8 x 10:12:13:16    SD: 22.5960 cents
 9:11:12:14:15:18    SD: 13.2082 cents
 10:12:13:15:17:20    SD: 12.6814 cents
 11:13:14:17:18:22    SD: 9.6402 cents
 14:17:18:22:23:28    SD: 9.1912 cents
 15:18:19:23:25:30    SD: 7.4867 cents
 20:24:26:31:33:40    SD: 4.5807 cents
 24:29:31:37:40:48    SD: 3.3611 cents
 31:37:40:48:52:62    SD: 2.2478 cents
 51:61:66:79:85:102    SD: 1.0359 cents
 75:90:97:116:125:150    SD: 0.9774 cents
 106:127:137:164:177:212    SD: 0.4924 cents
 172:206:222:266:287:344    SD: 0.4340 cents
 223:267:288:345:372:446    SD: 0.3477 cents
 278:333:359:430:464:555    SD: 0.3466 cents
 298:357:385:461:497:595    SD: 0.3385 cents
 329:394:425:509:549:657    SD: 0.2143 cents
 380:455:491:588:634:759    SD: 0.2080 cents
 395:473:510:611:659:789    SD: 0.2011 cents
 435:521:562:673:726:869    SD: 0.1497 cents
 446:534:576:690:744:891    SD: 0.1470 cents
 501:600:647:775:836:1001    SD: 0.0919 cents
 552:661:713:854:921:1103    SD: 0.0587 cents