Scala analysis: xen18-erlich-negripent-05

1L 4s MOS for Negripent, L=697.26, s=126.14

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        126.140 cents     126.140000
  2:        252.280 cents     252.280000
  3:        949.540 cents     949.540000
  4:       1075.680 cents    1075.680000
  5:       1201.820 cents    1201.820000
SHOW/INTERVAL
  0:        126.1400 cents    126.1400
  1:        126.1400 cents    126.1400
  2:        126.1400 cents    126.1400
  3:        697.2600 cents    697.2600
  4:        126.1400 cents    126.1400
  5:        126.1400 cents    126.1400
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   4 126.14000 cents
  1:   1 697.26000 cents
  2:   3 252.28000 cents
  2:   2 823.40000 cents
  3:   2 378.42000 cents
  3:   3 949.54000 cents
  4:   1 504.56000 cents
  4:   4 1075.68000 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      5     
 0.0   : 126.1 252.3 949.5 1075.7 1201.8
 126.1 : 126.1 823.4 949.5 1075.7 1201.8
 252.3 : 697.3 823.4 949.5 1075.7 1201.8
 949.5 : 126.1 252.3 378.4 504.6  1201.8
 1075.7: 126.1 252.3 378.4 1075.7 1201.8
 1201.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  126.1400  .. 697.2600 cents      571.12000 cents                    126.14000 cents
  2:  252.2800  .. 823.4000 cents      571.12000 cents                   -444.98000 cents
  3:  378.4200  .. 949.5400 cents      571.12000 cents                   -444.98000 cents
  4:  504.5600  .. 1075.6800 cents     571.12000 cents                   -444.98000 cents
SHOW DATA
Number of notes                     : 5
-- Interval properties --
Smallest interval                   : 126.14000 cents, class 1
Average step (divided formal octave): 240.3640 cents
Largest one step interval           : 697.26000 cents
Average / Smallest step             : 1.905534
Largest / Average step              : 2.900850
Largest / Smallest step             : 5.527668
Median interval of one step         : 126.14000 cents, amount: 4
Most common interval of one step    : 126.14000 cents, amount: 4
Least squares average step          : 250.74800 cents, oct.:  1253.74000 cents
Scale is not proper
Scale has Myhill's property
  chromas: 571.12000 cents and 444.98000 cents, ratio: 1.283473
  generators: 1 of 126.14000 cents and 4 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 72 271 307 343
  generators: 36 and 307
Number of contiguous 1-step segments: 0
Step pattern alph. order: AABAA
Step pattern size order : SSLSS
Scale is a Constant Structure, by a margin of 126.14000 cents
Scale diversity                     : 1.348402
Lumma stability                     : 0.209915
Lumma impropriety factor            : 0.580170
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        : 126.14000 cents
Most common intervals               : 126.14000 cents & inv., amount: 4
Scale is a chain of 2 triads 0.0 252.280 1075.680 cents
Number of recognisable fifths       : 1, average 697.2600 cents
Number of recognisable fourths      : 1, average 504.5600 cents
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 --
FIT/MODE
  5:  0 1 3 0 1   N   T3   SD: 76.4754 c. M: 126.1400 c. 
  6:  1 0 4 0 1   N   T3 I SD: 57.2775 c. M:-74.1633 c. 
  8:  1 1 4 1 1   N M DE I SD: 34.0649 c. M:-48.1750 c. 
  9:  1 1 5 1 1   N M DE I SD: 10.4589 c. M: 14.7911 c. 
 10:  1 1 6 1 1   N M DE I SD: 8.4259 c. M:-11.9160 c. 
 19:  2 2 11 2 2   N M DE I SD: 0.5195 c. M:-0.7347 c. 
 105: 11 11 61 11 11   N M DE I SD: 0.3324 c. M:-0.4701 c. 
 124: 13 13 72 13 13   N M DE I SD: 0.2019 c. M:-0.2855 c. 
 143: 15 15 83 15 15   N M DE I SD: 0.1060 c. M: 0.1499 c. 
 162: 17 17 94 17 17   N M DE I SD: 0.0326 c. M: 0.0462 c. 
 181: 19 19 105 19 19   N M DE I SD: 0.0253 c. M:-0.0358 c. 
 343: 36 36 199 36 36   N M DE I SD: 0.0021 c. M: 0.0029 c. 
 1210: 127 127 702 127 127   N M DE I SD: 0.0020 c. M: 0.0029 c. 
 1553: 163 163 901 163 163   N M DE I SD: 0.0011 c. M:-0.0016 c. 
 1896: 199 199 1100 199 199   N M DE I SD: 0.0006 c. M:-0.0008 c. 
 2239: 235 235 1299 235 235   N M DE I SD: 0.0002 c. M:-0.0002 c. 
FIT/HARMONIC
 1 x x x x 2  S SD: 1.8200 cents
 2 x x 3 x 4  S SD: 123.7958 cents
 3 x 4:5 x 6  S SD: 84.7561 cents
 4 x 5:7 x 8    SD: 45.1421 cents
 5 x 6 x 9:10  S SD: 28.6583 cents
 6 x 7:10:11:12    SD: 17.9538 cents
 7 x 8:12:13:14  S SD: 6.7727 cents
 8 x 9:14:15:16    SD: 13.4010 cents
 9:10 x 16:17:18    SD: 19.3314 cents
 10:11:12:17:19:20    SD: 17.6008 cents
 11:12:13:19:20:22    SD: 12.0559 cents
 12:13:14:21:22:24  S SD: 7.5771 cents
 14:15:16:24:26:28  S SD: 5.5813 cents
 25:27:29:43:47:50    SD: 4.4033 cents
 26:28:30:45:48:52  S SD: 3.0446 cents
 37:40:43:64:69:74    SD: 2.4871 cents
 38:41:44:66:71:76    SD: 2.1530 cents
 51:55:59:88:95:102    SD: 1.4446 cents
 52:56:60:90:97:104    SD: 1.2992 cents
 64:69:74:111:119:128    SD: 1.2433 cents
 78:84:90:135:145:156    SD: 1.1620 cents
 96:103:111:166:179:192    SD: 1.1557 cents
 103:111:119:178:192:206    SD: 1.1323 cents
 107:115:124:185:199:214    SD: 0.8701 cents
 108:116:125:187:201:216    SD: 0.6534 cents
 159:171:184:275:296:318    SD: 0.4374 cents
 223:240:258:386:415:446    SD: 0.4332 cents
 267:287:309:462:497:535    SD: 0.3837 cents
 293:315:339:507:545:587    SD: 0.3784 cents
 305:328:353:528:568:611    SD: 0.3241 cents
 318:342:368:550:592:637    SD: 0.3020 cents
 319:343:369:552:594:639    SD: 0.2497 cents
 331:356:383:573:616:663    SD: 0.2130 cents
 382:411:442:661:711:765    SD: 0.1617 cents
 383:412:443:663:713:767    SD: 0.1538 cents
 490:527:567:848:912:981    SD: 0.0912 cents
 542:583:627:938:1009:1085    SD: 0.0644 cents