Scala analysis: xen18-erlich-meantone-02

1L 1s MOS for Meantone, L=697.57, s=504.13

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        697.570 cents     697.570000
  2:       1201.700 cents    1201.700000
SHOW/INTERVAL
  0:        504.1300 cents    504.1300
  1:        697.5700 cents    697.5700
  2:        504.1300 cents    504.1300
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 504.13000 cents
  1:   1 697.57000 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     
 0.0   : 697.6 1201.7
 697.6 : 504.1 1201.7
 1201.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  504.1300  .. 697.5700 cents      193.44000 cents                    504.13000 cents
SHOW DATA
Number of notes                     : 2
-- Interval properties --
Smallest interval                   : 504.13000 cents, class 1
Average step (divided formal octave): 600.8500 cents
Largest one step interval           : 697.57000 cents
Average / Smallest step             : 1.191855
Largest / Average step              : 1.160972
Largest / Smallest step             : 1.383711
Median interval of one step         : 600.85000 cents, amount: 0
Least squares average step          : 620.19400 cents, oct.:  1240.38800 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 193.44000 cents and 310.69000 cents, ratio: 1.606131
  generator: 504.13000 cents
ET pair of linear temperament       : 12&19
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 205-tone equal temperament with octave  1201.700 cents
  degrees: 119 205
  generator: 86
Number of contiguous 1-step segments: 0
Step pattern alph. order: AB
Step pattern size order : LS
Scale is a Constant Structure, by a margin of 504.13000 cents
Scale diversity                     : 1.399401
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.839028
Rothenberg efficiency               : 1.000000   redundancy: 0.000000
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 2 = 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: 1
Number of recognisable fifths       : 1, average 697.5700 cents
Number of recognisable fourths      : 1, average 504.1300 cents
Best fifths form a closed circle
Best major thirds form a closed circle
Steps are strictly decreasing
Formal octave complements present   : 1 = 50.0000%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions      :
 1
Inversional symmetry on intervals   :
 0-1 1-2
-- Rational properties --
FIT/MODE
  2:  1 1  SP B ME I SD: 68.3914 c. M: 96.7200 c. 
  5:  3 2  SP M ME   SD: 16.5817 c. M:-23.4500 c. 
  7:  4 3  SP M ME   SD: 7.6964 c. M: 10.8843 c. 
 12:  7 5  SP M DE   SD: 2.4195 c. M:-3.4217 c.  Niagari: Japan
 19:  11 8  SP M DE   SD: 1.3074 c. M: 1.8489 c. 
 31:  18 13  SP M DE   SD: 0.1353 c. M:-0.1913 c. 
 112: 65 47  SP M DE   SD: 0.1095 c. M: 0.1548 c. 
 143: 83 60  SP M DE   SD: 0.0564 c. M: 0.0798 c. 
 174: 101 73  SP M DE   SD: 0.0223 c. M: 0.0315 c. 
 205: 119 86  SP M DE   SD: 0.0016 c. M:-0.0022 c. 
 1404: 815 589  SP M DE   SD: 0.0014 c. M: 0.0020 c. 
 1609: 934 675  SP M DE   SD: 0.0010 c. M: 0.0014 c. 
 1814: 1053 761  SP M DE   SD: 0.0007 c. M: 0.0010 c. 
 2019: 1172 847  SP M DE   SD: 0.0005 c. M: 0.0007 c. 
 2224: 1291 933  SP M DE   SD: 0.0003 c. M: 0.0004 c. 
FIT/HARMONIC
 1 x 2  S SD: 1.7000 cents
 79:118:158    SD: 1.6960 cents
 81:121:162    SD: 1.6183 cents
 83:124:166    SD: 1.5456 cents
 85:127:170    SD: 1.4777 cents
 87:130:174    SD: 1.4143 cents
 89:133:178    SD: 1.3553 cents
 91:136:182    SD: 1.3004 cents
 93:139:186    SD: 1.2494 cents
 95:142:190    SD: 1.2021 cents
 97:145:194    SD: 1.1586 cents
 99:148:198    SD: 1.1185 cents
 101:151:202    SD: 1.0817 cents
 103:154:206    SD: 1.0482 cents
 105:157:210    SD: 1.0178 cents
 107:160:214    SD: 0.9904 cents
 109:163:218    SD: 0.9659 cents
 111:166:222    SD: 0.9441 cents
 113:169:226    SD: 0.9249 cents
 115:172:230    SD: 0.9083 cents
 117:175:234    SD: 0.8940 cents
 119:178:238    SD: 0.8820 cents
 121:181:242    SD: 0.8722 cents
 123:184:246    SD: 0.8643 cents
 125:187:250    SD: 0.8583 cents
 127:190:254    SD: 0.8540 cents
 129:193:258    SD: 0.8513 cents
 131:196:262    SD: 0.8501 cents
 256:383:513    SD: 0.8415 cents
 258:386:517    SD: 0.8273 cents
 260:389:521    SD: 0.8136 cents
 262:392:525    SD: 0.8005 cents
 264:395:529    SD: 0.7879 cents
 266:398:533    SD: 0.7758 cents
 268:401:537    SD: 0.7643 cents
 270:404:541    SD: 0.7533 cents
 272:407:545    SD: 0.7429 cents
 274:410:549    SD: 0.7330 cents
 276:413:553    SD: 0.7235 cents
 278:416:557    SD: 0.7146 cents
 280:419:561    SD: 0.7063 cents
 282:422:565    SD: 0.6984 cents
 284:425:569    SD: 0.6910 cents
 286:428:573    SD: 0.6841 cents
 288:431:577    SD: 0.6777 cents
 290:434:581    SD: 0.6717 cents
 292:437:585    SD: 0.6662 cents
 294:440:589    SD: 0.6612 cents
 296:443:593    SD: 0.6567 cents
 298:446:597    SD: 0.6526 cents
 300:449:601    SD: 0.6489 cents
 302:452:605    SD: 0.6456 cents
 304:455:609    SD: 0.6428 cents
 306:458:613    SD: 0.6403 cents
 308:461:617    SD: 0.6383 cents
 310:464:621    SD: 0.6366 cents
 312:467:625    SD: 0.6353 cents
 314:470:629    SD: 0.6344 cents
 316:473:633    SD: 0.6338 cents
 318:476:637    SD: 0.6335 cents
 331:495:663    SD: 0.6249 cents
 333:498:667    SD: 0.6084 cents
 335:501:671    SD: 0.5922 cents
 337:504:675    SD: 0.5763 cents
 339:507:679    SD: 0.5606 cents
 341:510:683    SD: 0.5452 cents
 343:513:687    SD: 0.5301 cents
 345:516:691    SD: 0.5152 cents
 347:519:695    SD: 0.5006 cents
 349:522:699    SD: 0.4862 cents
 351:525:703    SD: 0.4721 cents
 353:528:707    SD: 0.4583 cents
 355:531:711    SD: 0.4448 cents
 357:534:715    SD: 0.4315 cents
 359:537:719    SD: 0.4185 cents
 361:540:723    SD: 0.4058 cents
 363:543:727    SD: 0.3934 cents
 365:546:731    SD: 0.3814 cents
 367:549:735    SD: 0.3696 cents
 369:552:739    SD: 0.3581 cents
 371:555:743    SD: 0.3470 cents
 373:558:747    SD: 0.3363 cents
 375:561:751    SD: 0.3259 cents
 377:564:755    SD: 0.3158 cents
 379:567:759    SD: 0.3062 cents
 381:570:763    SD: 0.2969 cents
 383:573:767    SD: 0.2881 cents
 385:576:771    SD: 0.2797 cents
 387:579:775    SD: 0.2718 cents
 389:582:779    SD: 0.2643 cents
 391:585:783    SD: 0.2574 cents
 393:588:787    SD: 0.2509 cents
 395:591:791    SD: 0.2450 cents
 397:594:795    SD: 0.2397 cents
 399:597:799    SD: 0.2349 cents
 401:600:803    SD: 0.2308 cents
 403:603:807    SD: 0.2272 cents
 405:606:811    SD: 0.2242 cents
 407:609:815    SD: 0.2219 cents
 409:612:819    SD: 0.2202 cents
 411:615:823    SD: 0.2191 cents
 413:618:827    SD: 0.2186 cents
 482:721:965    SD: 0.2107 cents
 484:724:969    SD: 0.2003 cents
 486:727:973    SD: 0.1899 cents
 488:730:977    SD: 0.1795 cents
 490:733:981    SD: 0.1693 cents
 492:736:985    SD: 0.1592 cents
 494:739:989    SD: 0.1492 cents
 496:742:993    SD: 0.1393 cents
 498:745:997    SD: 0.1295 cents
 500:748:1001    SD: 0.1199 cents
 502:751:1005    SD: 0.1103 cents
 504:754:1009    SD: 0.1009 cents
 506:757:1013    SD: 0.0916 cents
 508:760:1017    SD: 0.0825 cents
 510:763:1021    SD: 0.0735 cents
 512:766:1025    SD: 0.0649 cents
 514:769:1029    SD: 0.0565 cents
 516:772:1033    SD: 0.0485 cents
 518:775:1037    SD: 0.0412 cents
 520:778:1041    SD: 0.0349 cents
 522:781:1045    SD: 0.0301 cents
 524:784:1049    SD: 0.0276 cents