Scala analysis: xen18-erlich-dicot-04

3L 1s MOS for Dicot, L=353.22, s=148.00

Generated by Scala: https://www.huygens-fokker.org/scala/

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        353.220 cents     353.220000
  2:        501.220 cents     501.220000
  3:        854.440 cents     854.440000
  4:       1207.660 cents    1207.660000
SHOW/INTERVAL
  0:        353.2200 cents    353.2200
  1:        353.2200 cents    353.2200
  2:        148.0000 cents    148.0000
  3:        353.2200 cents    353.2200
  4:        353.2200 cents    353.2200
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 148.00000 cents
  1:   3 353.22000 cents
  2:   2 501.22000 cents
  2:   2 706.44000 cents
  3:   3 854.44000 cents
  3:   1 1059.66000 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
         1     2     3      4     
 0.0   : 353.2 501.2 854.4  1207.7
 353.2 : 148.0 501.2 854.4  1207.7
 501.2 : 353.2 706.4 1059.7 1207.7
 854.4 : 353.2 706.4 854.4  1207.7
 1207.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  148.0000  .. 353.2200 cents      205.22000 cents                    148.00000 cents
  2:  501.2200  .. 706.4400 cents      205.22000 cents                    148.00000 cents
  3:  854.4400  .. 1059.6600 cents     205.22000 cents                    148.00000 cents
SHOW DATA
Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 148.00000 cents, class 1
Average step (divided formal octave): 301.9150 cents
Largest one step interval           : 353.22000 cents
Average / Smallest step             : 2.039966
Largest / Average step              : 1.169932
Largest / Smallest step             : 2.386622
Median interval of one step         : 353.22000 cents, amount: 3
Most common interval of one step    : 353.22000 cents, amount: 3
Least squares average step          : 291.65400 cents, oct.:  1166.61600 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 205.22000 cents and 57.22000 cents, ratio: 3.586508
  generators: 1 of 353.22000 cents and 3 of 854.44000 cents
ET pair of linear temperament       : 17&24
Scale is distributional even
Scale is a mode of a 612-tone equal temperament with octave  1207.660 cents
  degrees: 179 254 433 612
  generators: 179 and 433
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 148.00000 cents
Scale diversity                     : 1.376652
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.490204
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        : 148.00000 cents
Most common intervals               : 353.22000 cents & inv., amount: 3
Scale is a chain of 2 triads 0.0 353.220 854.440 cents
Most common triad is 0.0 353.220 854.440 cents, amount: 2
Number of recognisable fifths       : 2, average 706.4400 cents
Number of recognisable fourths      : 2, average 501.2200 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      :
 3
Inversional symmetry on intervals   :
 1-2 3-4
-- Rational properties --
FIT/MODE
  4:  1 1 1 1  SP B ME I SD: 62.8355 c. M:-102.6100 c. 
  6:  2 0 2 2   P M DE   SD: 60.4207 c. M: 98.6667 c. 
  7:  2 1 2 2  SP M ME   SD: 10.0114 c. M:-16.3486 c. 
 17:  5 2 5 5  SP M DE   SD: 2.4178 c. M: 3.9482 c. 
 24:  7 3 7 7  SP M DE   SD: 1.2074 c. M:-1.9717 c. 
 41:  12 5 12 12  SP M DE   SD: 0.2957 c. M: 0.4829 c. 
 65:  19 8 19 19  SP M DE   SD: 0.2593 c. M:-0.4234 c. 
 106: 31 13 31 31  SP M DE   SD: 0.0446 c. M:-0.0728 c. 
 253: 74 31 74 74  SP M DE   SD: 0.0106 c. M: 0.0172 c. 
 359: 105 44 105 105  SP M DE   SD: 0.0057 c. M:-0.0094 c. 
 612: 179 75 179 179  SP M DE   SD: 0.0010 c. M: 0.0016 c. 
 1583: 463 194 463 463  SP M DE   SD: 0.0005 c. M:-0.0009 c. 
 2195: 642 269 642 642  SP M DE   SD: 0.0001 c. M:-0.0002 c. 
FIT/HARMONIC
 1 x x x 2  S SD: 7.6600 cents
 2 x x 3:4  S SD: 76.3386 cents
 3 x 4:5:6  S SD: 10.3488 cents
 4:5 x 7:8    SD: 39.7744 cents
 5:6:7:8:10  S SD: 24.6730 cents
 6:7:8:10:12  S SD: 22.9402 cents
 7 x 9:11:14    SD: 32.6754 cents
 8:10:11:13:16    SD: 15.5266 cents
 9:11:12:15:18    SD: 7.8965 cents
 17:21:23:28:34    SD: 7.0484 cents
 21:26:28:34:42    SD: 6.8583 cents
 22:27:29:36:44    SD: 6.0779 cents
 26:32:35:43:52    SD: 5.8684 cents
 27:33:36:44:54    SD: 3.3847 cents
 36:44:48:59:72    SD: 2.5398 cents
 53:65:71:87:106    SD: 2.4531 cents
 63:77:84:103:127    SD: 2.3922 cents
 66:81:88:108:133    SD: 1.6674 cents
 75:92:100:123:151    SD: 1.3475 cents
 80:98:107:131:161    SD: 1.0809 cents
 89:109:119:146:179    SD: 1.0687 cents
 102:125:136:167:205    SD: 0.9001 cents
 110:135:147:180:221    SD: 0.6012 cents
 119:146:159:195:239    SD: 0.2875 cents
 318:390:425:521:639    SD: 0.2668 cents
 331:406:442:542:665    SD: 0.2427 cents
 340:417:454:557:683    SD: 0.1686 cents
 420:515:561:688:844    SD: 0.1513 cents
 459:563:613:752:922    SD: 0.1417 cents
 539:661:720:883:1083    SD: 0.0928 cents