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