Scala analysis: xen18-erlich-semaphore-05

  0:          1/1               0.000000 unison, perfect prime
  1:        252.480 cents     252.480000
  2:        504.960 cents     504.960000
  3:        698.710 cents     698.710000
  4:        951.190 cents     951.190000
  5:       1203.670 cents    1203.670000

  0:        252.4800 cents    252.4800
  1:        252.4800 cents    252.4800
  2:        252.4800 cents    252.4800
  3:        193.7500 cents    193.7500
  4:        252.4800 cents    252.4800
  5:        252.4800 cents    252.4800

Interval class, Number of incidences, Size:
  1:   1 193.75000 cents
  1:   4 252.48000 cents
  2:   2 446.23000 cents
  2:   3 504.96000 cents
  3:   3 698.71000 cents
  3:   2 757.44000 cents
  4:   4 951.19000 cents
  4:   1 1009.92000 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   : 252.5 505.0 698.7 951.2  1203.7
 252.5 : 252.5 446.2 698.7 951.2  1203.7
 505.0 : 193.7 446.2 698.7 951.2  1203.7
 698.7 : 252.5 505.0 757.4 1009.9 1203.7
 951.2 : 252.5 505.0 757.4 951.2  1203.7
 1203.7

Interval class, Interval span, Span size, Gap to prev. class:
  1:  193.7500  .. 252.4800 cents      58.73000 cents                     193.75000 cents
  2:  446.2300  .. 504.9600 cents      58.73000 cents                     193.75000 cents
  3:  698.7100  .. 757.4400 cents      58.73000 cents                     193.75000 cents
  4:  951.1900  .. 1009.9200 cents     58.73000 cents                     193.75000 cents

Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 193.75000 cents, class 1
Average step (divided formal octave): 240.7340 cents
Largest one step interval           : 252.48000 cents
Average / Smallest step             : 1.242498
Largest / Average step              : 1.048792
Largest / Smallest step             : 1.303123
Median interval of one step         : 252.48000 cents, amount: 4
Most common interval of one step    : 252.48000 cents, amount: 4
Least squares average step          : 239.66618 cents, oct.:  1198.33091 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 58.73000 cents and 135.02000 cents, ratio: 2.298995
  generators: 1 of 252.48000 cents and 4 of 951.19000 cents
ET pair of linear temperament       : 19&62
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 205-tone equal temperament with octave  1203.670 cents
  degrees: 43 86 119 162 205
  generators: 43 and 162
Number of contiguous 1-step segments: 0
Step pattern alph. order: AABAA
Step pattern size order : LLSLL
Scale is a Constant Structure, by a margin of 193.75000 cents
Scale diversity                     : 1.221317
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.804830
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        : 58.73000 cents
Most common intervals               : 252.48000 cents & inv., amount: 4
Scale is a chain of 2 triads 0.0 504.960 951.190 cents
Most common triad is 0.0 252.480 951.190 cents, amount: 3
Number of recognisable fifths       : 3, average 698.7100 cents
Number of recognisable fourths      : 3, average 504.9600 cents
Best fifths form a closed circle
Best major thirds form a closed circle
Best minor thirds 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: 16.6114 c. M:-23.4920 c. 
 14:  3 3 2 3 3  SP M ME I SD: 7.7065 c. M:-10.8986 c.  Semaphore-5
 19:  4 4 3 4 4  SP M ME I SD: 1.3070 c. M:-1.8484 c.  Quasi-equal Pentatonic, Semaphore-5
 43:  9 9 7 9 9  SP M DE I SD: 0.7765 c. M:-1.0981 c. 
 62:  13 13 10 13 13  SP M DE I SD: 0.1380 c. M:-0.1952 c. 
 143: 30 30 23 30 30  SP M DE I SD: 0.0540 c. M:-0.0764 c. 
 205: 43 43 33 43 43  SP M DE I SD: 0.0041 c. M:-0.0058 c. 
 1168: 245 245 188 245 245  SP M DE I SD: 0.0030 c. M:-0.0043 c. 
 1373: 288 288 221 288 288  SP M DE I SD: 0.0020 c. M:-0.0028 c. 
 1578: 331 331 254 331 331  SP M DE I SD: 0.0012 c. M:-0.0017 c. 
 1783: 374 374 287 374 374  SP M DE I SD: 0.0006 c. M:-0.0008 c. 
 1988: 417 417 320 417 417  SP M DE I SD: 0.0001 c. M:-0.0002 c. 

 1 x x x x 2  S SD: 3.6700 cents
 2 x x 3 x 4  S SD: 2.4494 cents
 3 x 4 x 5:6  S SD: 22.4294 cents
 4 x 5:6:7:8  S SD: 30.0125 cents
 6:7:8:9:10:12  S SD: 13.7773 cents
 12:14:16:18:21:24  S SD: 4.8577 cents
 18:21:24:27:31:36    SD: 3.8998 cents
 26:30:35:39:45:52    SD: 2.3820 cents
 38:44:51:57:66:76    SD: 1.6289 cents
 56:65:75:84:97:112    SD: 1.4871 cents
 71:82:95:106:123:142    SD: 1.3842 cents
 82:95:110:123:142:164    SD: 1.3046 cents
 83:96:111:124:144:166    SD: 1.2282 cents
 89:103:119:133:154:178    SD: 1.1346 cents
 101:117:135:151:175:202    SD: 1.1162 cents
 109:126:146:163:189:218    SD: 0.9796 cents
 115:133:154:172:199:230    SD: 0.9136 cents
 127:147:170:190:220:255    SD: 0.6936 cents
 153:177:205:229:265:307    SD: 0.5179 cents
 165:191:221:247:286:331    SD: 0.4588 cents
 209:242:280:313:362:419    SD: 0.4033 cents
 236:273:316:353:409:473    SD: 0.3811 cents
 242:280:324:362:419:485    SD: 0.3544 cents
 254:294:340:380:440:509    SD: 0.3022 cents
 280:324:375:419:485:561    SD: 0.2687 cents
 396:458:530:593:686:794    SD: 0.2166 cents
 414:479:554:620:717:830    SD: 0.2035 cents
 434:502:581:650:752:870    SD: 0.1885 cents
 440:509:589:659:762:882    SD: 0.1713 cents
 452:523:605:677:783:906    SD: 0.1501 cents
 523:605:700:783:906:1048    SD: 0.1171 cents