Scala analysis: xen18-erlich-negripent-04

  0:          1/1               0.000000 unison, perfect prime
  1:        126.140 cents     126.140000
  2:        252.280 cents     252.280000
  3:       1075.680 cents    1075.680000
  4:       1201.820 cents    1201.820000

  0:        126.1400 cents    126.1400
  1:        126.1400 cents    126.1400
  2:        126.1400 cents    126.1400
  3:        823.4000 cents    823.4000
  4:        126.1400 cents    126.1400

Interval class, Number of incidences, Size:
  1:   3 126.14000 cents
  1:   1 823.40000 cents
  2:   2 252.28000 cents
  2:   2 949.54000 cents
  3:   1 378.42000 cents
  3:   3 1075.68000 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   : 126.1 252.3 1075.7 1201.8
 126.1 : 126.1 949.5 1075.7 1201.8
 252.3 : 823.4 949.5 1075.7 1201.8
 1075.7: 126.1 252.3 378.4  1201.8
 1201.8

Interval class, Interval span, Span size, Gap to prev. class:
  1:  126.1400  .. 823.4000 cents      697.26000 cents                    126.14000 cents
  2:  252.2800  .. 949.5400 cents      697.26000 cents                   -571.12000 cents
  3:  378.4200  .. 1075.6800 cents     697.26000 cents                   -571.12000 cents

Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 126.14000 cents, class 1
Average step (divided formal octave): 300.4550 cents
Largest one step interval           : 823.40000 cents
Average / Smallest step             : 2.381917
Largest / Average step              : 2.740510
Largest / Smallest step             : 6.527668
Median interval of one step         : 126.14000 cents, amount: 3
Most common interval of one step    : 126.14000 cents, amount: 3
Least squares average step          : 288.83400 cents, oct.:  1155.33600 cents
Scale is not proper
Scale has Myhill's property
  chromas: 697.26000 cents and 571.12000 cents, ratio: 1.220864
  generators: 1 of 126.14000 cents and 3 of 1075.68000 cents
ET pair of linear temperament       : 10&19
Scale is distributional even
Scale is a mode of a 343-tone equal temperament with octave  1201.820 cents
  degrees: 36 72 307 343
  generators: 36 and 307
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 126.14000 cents
Scale diversity                     : 1.148429
Lumma stability                     : 0.209915
Lumma impropriety factor            : 0.580170
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        : 126.14000 cents
Most common intervals               : 126.14000 cents & inv., amount: 3
Scale is a chain of 2 triads 0.0 126.140 1075.680 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
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:  0 1 3 0   N        SD: 92.3897 c. M:-126.1400 c. 
  5:  0 1 3 1   N   D3   SD: 85.2942 c. M: 126.1400 c. 
  6:  0 1 4 1   N   D3   SD: 77.6419 c. M: 126.1400 c. 
  8:  1 1 5 1   N M DE   SD: 29.5010 c. M:-48.1750 c. 
  9:  1 1 6 1   N M DE   SD: 9.0577 c. M:-14.7911 c. 
 10:  1 1 7 1   N M DE   SD: 7.2970 c. M: 11.9160 c. 
 19:  2 2 13 2   N M DE   SD: 0.4499 c. M:-0.7347 c. 
 105: 11 11 72 11   N M DE   SD: 0.2879 c. M: 0.4701 c. 
 124: 13 13 85 13   N M DE   SD: 0.1748 c. M: 0.2855 c. 
 143: 15 15 98 15   N M DE   SD: 0.0918 c. M: 0.1499 c. 
 162: 17 17 111 17   N M DE   SD: 0.0283 c. M: 0.0462 c. 
 181: 19 19 124 19   N M DE   SD: 0.0219 c. M:-0.0358 c. 
 343: 36 36 235 36   N M DE   SD: 0.0018 c. M: 0.0029 c. 
 1210: 127 127 829 127   N M DE   SD: 0.0018 c. M:-0.0029 c. 
 1553: 163 163 1064 163   N M DE   SD: 0.0010 c. M:-0.0016 c. 
 1896: 199 199 1299 199   N M DE   SD: 0.0005 c. M:-0.0008 c. 
 2239: 235 235 1534 235   N M DE   SD: 0.0001 c. M:-0.0002 c. 

 1 x x x 2  S SD: 1.8200 cents
 2 x x x 4  S SD: 1.8200 cents
 3 x 4 x 6  S SD: 122.8859 cents
 4 x 5:7:8    SD: 57.1413 cents
 5 x 6:9:10  S SD: 28.6583 cents
 6 x 7:11:12    SD: 10.0487 cents
 7 x 8:13:14    SD: 7.1848 cents
 8 x 9:15:16    SD: 16.6715 cents
 9:10 x 17:18    SD: 20.5813 cents
 11:12:13:20:22    SD: 15.0467 cents
 12:13:14:22:24    SD: 8.1523 cents
 13:14:15:24:26    SD: 3.8055 cents
 37:40:43:69:74    SD: 3.1010 cents
 38:41:44:71:76    SD: 2.1965 cents
 51:55:59:95:102    SD: 1.2706 cents
 64:69:74:119:128    SD: 1.2378 cents
 94:101:109:175:188    SD: 1.1957 cents
 95:102:110:177:190    SD: 1.0489 cents
 107:115:124:199:214    SD: 1.0071 cents
 108:116:125:201:216    SD: 0.7874 cents
 146:157:169:272:292    SD: 0.6442 cents
 159:171:184:296:318    SD: 0.4790 cents
 267:287:309:497:535    SD: 0.4747 cents
 280:301:324:521:561    SD: 0.4381 cents
 305:328:353:568:611    SD: 0.3825 cents
 318:342:368:592:637    SD: 0.2703 cents
 331:356:383:616:663    SD: 0.2344 cents
 369:397:427:687:739    SD: 0.2288 cents
 370:398:428:689:741    SD: 0.2243 cents
 382:411:442:711:765    SD: 0.1925 cents
 383:412:443:713:767    SD: 0.1546 cents
 477:513:552:888:955    SD: 0.1498 cents
 490:527:567:912:981    SD: 0.1140 cents
 491:528:568:914:983    SD: 0.0962 cents
 542:583:627:1009:1085    SD: 0.0805 cents