Scala analysis: xen18-erlich-garibaldi-05

  0:          1/1               0.000000 unison, perfect prime
  1:        204.520 cents     204.520000
  2:        498.120 cents     498.120000
  3:        702.640 cents     702.640000
  4:        996.240 cents     996.240000
  5:       1200.760 cents    1200.760000

  0:        204.5200 cents    204.5200
  1:        204.5200 cents    204.5200
  2:        293.6000 cents    293.6000
  3:        204.5200 cents    204.5200
  4:        293.6000 cents    293.6000
  5:        204.5200 cents    204.5200

Interval class, Number of incidences, Size:
  1:   3 204.52000 cents
  1:   2 293.60000 cents
  2:   1 409.04000 cents
  2:   4 498.12000 cents
  3:   4 702.64000 cents
  3:   1 791.72000 cents
  4:   2 907.16000 cents
  4:   3 996.24000 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   : 204.5 498.1 702.6 996.2 1200.8
 204.5 : 293.6 498.1 791.7 996.2 1200.8
 498.1 : 204.5 498.1 702.6 907.2 1200.8
 702.6 : 293.6 498.1 702.6 996.2 1200.8
 996.2 : 204.5 409.0 702.6 907.2 1200.8
 1200.8

Interval class, Interval span, Span size, Gap to prev. class:
  1:  204.5200  .. 293.6000 cents      89.08000 cents                     204.52000 cents
  2:  409.0400  .. 498.1200 cents      89.08000 cents                     115.44000 cents
  3:  702.6400  .. 791.7200 cents      89.08000 cents                     204.52000 cents
  4:  907.1600  .. 996.2400 cents      89.08000 cents                     115.44000 cents

Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 204.52000 cents, class 1
Average step (divided formal octave): 240.1520 cents
Largest one step interval           : 293.60000 cents
Average / Smallest step             : 1.174223
Largest / Average step              : 1.222559
Largest / Smallest step             : 1.435556
Median interval of one step         : 204.52000 cents, amount: 3
Most common interval of one step    : 204.52000 cents, amount: 3
Least squares average step          : 241.77164 cents, oct.:  1208.85818 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 89.08000 cents and 115.44000 cents, ratio: 1.295914
  generators: 2 of 498.12000 cents and 3 of 702.64000 cents
ET pair of linear temperament       : 12&41
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 364-tone equal temperament with octave  1200.760 cents
  degrees: 62 151 213 302 364
  generators: 151 and 213
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABABA
Step pattern size order : SLSLS
Scale is a Constant Structure, by a margin of 115.44000 cents
Scale diversity                     : 1.278517
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.703255
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        : 89.08000 cents
Most common intervals               : 498.12000 cents & inv., amount: 4
Scale is a chain of 2 triads 0.0 498.120 996.240 cents
Most common triad is 0.0 498.120 702.640 cents, amount: 3
Number of recognisable fifths       : 4, average 702.6400 cents
Number of recognisable fourths      : 4, average 498.1200 cents
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: 25.1956 c. M: 35.6320 c. 
  7:  1 2 1 2 1   P M ME I SD: 23.3224 c. M: 32.9829 c.  Thai mode 2
 12:  2 3 2 3 2  SP M ME I SD: 3.1066 c. M: 4.3933 c.  Suspended Pentatonic, Raga Madhyamavati, Madhmat Sarang, Megh, Egyptian, Shang, Rui Bin, Jin Yu, Qing Yu: China, Yo: Japan, Ngu Cung Dao: Vietnam, Yematebela wofe: Ethiopia
 29:  5 7 5 7 5  SP M DE I SD: 1.7731 c. M: 2.5076 c. 
 41:  7 10 7 10 7  SP M DE I SD: 0.3449 c. M: 0.4878 c. 
 94:  16 23 16 23 16  SP M DE I SD: 0.0957 c. M: 0.1353 c. 
 135: 23 33 23 33 23  SP M DE I SD: 0.0381 c. M: 0.0539 c. 
 229: 39 56 39 56 39  SP M DE I SD: 0.0168 c. M: 0.0238 c. 
 364: 62 89 62 89 62  SP M DE I SD: 0.0036 c. M: 0.0051 c. 
 957: 163 234 163 234 163  SP M DE I SD: 0.0013 c. M: 0.0018 c. 
 1321: 225 323 225 323 225  SP M DE I SD: 0.0000 c. M: 0.0001 c. 

 1 x x x x 2  S SD: 0.7600 cents
 2 x x 3 x 4  S SD: 0.5116 cents
 3 x 4 x 5:6  S SD: 37.2946 cents
 4 x 5:6:7:8  S SD: 28.7807 cents
 6:7:8:9:11:12    SD: 16.3838 cents
 8:9:11:12:14:16    SD: 11.9716 cents
 14:16:19:21:25:28    SD: 8.2535 cents
 16:18:21:24:28:32  S SD: 7.7469 cents
 18:20:24:27:32:36    SD: 4.4281 cents
 24:27:32:36:43:48    SD: 2.6752 cents
 40:45:53:60:71:80    SD: 2.2718 cents
 48:54:64:72:85:96    SD: 1.4056 cents
 54:61:72:81:96:108    SD: 1.3164 cents
 72:81:96:108:128:144    SD: 0.2406 cents
 342:385:456:513:608:684    SD: 0.2315 cents
 414:466:552:621:736:828    SD: 0.2170 cents
 423:476:564:635:752:846    SD: 0.2089 cents
 495:557:660:743:880:990    SD: 0.1882 cents
 567:638:756:851:1008:1134    SD: 0.1777 cents