Scala analysis: xen18-erlich-meantone-03

  0:          1/1               0.000000 unison, perfect prime
  1:        504.130 cents     504.130000
  2:        697.570 cents     697.570000
  3:       1201.700 cents    1201.700000

  0:        504.1300 cents    504.1300
  1:        504.1300 cents    504.1300
  2:        193.4400 cents    193.4400
  3:        504.1300 cents    504.1300

Interval class, Number of incidences, Size:
  1:   1 193.44000 cents
  1:   2 504.13000 cents
  2:   2 697.57000 cents
  2:   1 1008.26000 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     
 0.0   : 504.1 697.6  1201.7
 504.1 : 193.4 697.6  1201.7
 697.6 : 504.1 1008.3 1201.7
 1201.7

Interval class, Interval span, Span size, Gap to prev. class:
  1:  193.4400  .. 504.1300 cents      310.69000 cents                    193.44000 cents
  2:  697.5700  .. 1008.2600 cents     310.69000 cents                    193.44000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 193.44000 cents, class 1
Average step (divided formal octave): 400.5667 cents
Largest one step interval           : 504.13000 cents
Average / Smallest step             : 2.070754
Largest / Average step              : 1.258542
Largest / Smallest step             : 2.606131
Median interval of one step         : 504.13000 cents, amount: 2
Most common interval of one step    : 504.13000 cents, amount: 2
Least squares average step          : 393.16929 cents, oct.:  1179.50786 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 310.69000 cents and 117.25000 cents, ratio: 2.649808
  generators: 1 of 504.13000 cents and 2 of 697.57000 cents
ET pair of linear temperament       : 12&19
Scale is distributional even
Scale is a mode of a 205-tone equal temperament with octave  1201.700 cents
  degrees: 86 119 205
  generators: 86 and 119
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABA
Step pattern size order : LSL
Scale is a Constant Structure, by a margin of 193.44000 cents
Scale diversity                     : 1.412442
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.482916
Rothenberg efficiency               : 0.888889   redundancy: 0.111111
Efficiency x scale size             : 2.666667
Number of different interval sizes  : 4 = 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        : 193.44000 cents
Most common intervals               : 504.13000 cents & inv., amount: 2
Number of recognisable fifths       : 2, average 697.5700 cents
Number of recognisable fourths      : 2, average 504.1300 cents
Best major thirds form a closed circle
Best minor thirds form a closed circle
Formal octave complements present   : 3 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 1-2
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 84.5591 c. M: 103.5633 c. 
  4:  2 0 2   P M DE I SD: 78.9715 c. M: 96.7200 c. 
  5:  2 1 2  SP M ME I SD: 19.1468 c. M: 23.4500 c. 
  7:  3 1 3  SP M DE I SD: 8.8870 c. M: 10.8843 c. 
 12:  5 2 5  SP M DE I SD: 2.7938 c. M: 3.4217 c.  Raga Sarvasri, Warao tritonic: South America
 19:  8 3 8  SP M DE I SD: 1.5097 c. M: 1.8489 c. 
 31:  13 5 13  SP M DE I SD: 0.1562 c. M: 0.1913 c. 
 112: 47 18 47  SP M DE I SD: 0.1264 c. M: 0.1548 c. 
 143: 60 23 60  SP M DE I SD: 0.0651 c. M: 0.0798 c. 
 174: 73 28 73  SP M DE I SD: 0.0257 c. M: 0.0315 c. 
 205: 86 33 86  SP M DE I SD: 0.0018 c. M: 0.0022 c. 
 1404: 589 226 589  SP M DE I SD: 0.0016 c. M: 0.0020 c. 
 1609: 675 259 675  SP M DE I SD: 0.0012 c. M: 0.0014 c. 
 1814: 761 292 761  SP M DE I SD: 0.0008 c. M: 0.0010 c. 
 2019: 847 325 847  SP M DE I SD: 0.0006 c. M: 0.0007 c. 
 2224: 933 358 933  SP M DE I SD: 0.0004 c. M: 0.0004 c. 

 1 x x 2  S SD: 1.7000 cents
 2 x 3:4  S SD: 2.3515 cents
 5:7 x 10    SD: 39.2003 cents
 6:8:9:12  S SD: 2.5635 cents
 38:51:57:76    SD: 2.3538 cents
 44:59:66:88    SD: 1.9996 cents
 50:67:75:100    SD: 1.7832 cents
 56:75:84:112    SD: 1.6588 cents
 62:83:93:124    SD: 1.5950 cents
 68:91:102:136    SD: 1.5702 cents
 71:95:106:142    SD: 1.3761 cents
 77:103:115:154    SD: 1.1965 cents
 83:111:124:166    SD: 1.0712 cents
 89:119:133:178    SD: 0.9920 cents
 95:127:142:190    SD: 0.9509 cents
 101:135:151:202    SD: 0.9392 cents
 109:146:163:218    SD: 0.8889 cents
 115:154:172:230    SD: 0.7698 cents
 121:162:181:242    SD: 0.6794 cents
 127:170:190:254    SD: 0.6175 cents
 133:178:199:266    SD: 0.5832 cents
 139:186:208:278    SD: 0.5734 cents
 266:356:398:533    SD: 0.5351 cents
 272:364:407:545    SD: 0.5033 cents
 278:372:416:557    SD: 0.4784 cents
 284:380:425:569    SD: 0.4607 cents
 290:388:434:581    SD: 0.4498 cents
 296:396:443:593    SD: 0.4454 cents
 331:443:495:663    SD: 0.4417 cents
 337:451:504:675    SD: 0.3991 cents
 343:459:513:687    SD: 0.3604 cents
 349:467:522:699    SD: 0.3260 cents
 355:475:531:711    SD: 0.2965 cents
 361:483:540:723    SD: 0.2726 cents
 367:491:549:735    SD: 0.2551 cents
 373:499:558:747    SD: 0.2445 cents
 379:507:567:759    SD: 0.2410 cents
 393:526:588:787    SD: 0.2385 cents
 399:534:597:799    SD: 0.2081 cents
 405:542:606:811    SD: 0.1827 cents
 411:550:615:823    SD: 0.1637 cents
 417:558:624:835    SD: 0.1526 cents
 423:566:633:847    SD: 0.1504 cents
 488:653:730:977    SD: 0.1254 cents
 494:661:739:989    SD: 0.1003 cents
 500:669:748:1001    SD: 0.0808 cents
 506:677:757:1013    SD: 0.0709 cents