Xen concepts for beginners: Difference between revisions
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* 17edo: the smallest edo after 12edo with a diatonic scale, which can be harmonically very different from 12edo diatonic depending on how you use it. First neutral diatonic edo (providing neutral seconds, thirds, sixths, and sevenths). | * 17edo: the smallest edo after 12edo with a diatonic scale, which can be harmonically very different from 12edo diatonic depending on how you use it. First neutral diatonic edo (providing neutral seconds, thirds, sixths, and sevenths). | ||
* 18edo: has two fifths, 733c and 667c, that are nearly equally off from 3/2. | * 18edo: has two fifths, 733c and 667c, that are nearly equally off from 3/2. | ||
* 19edo: the smallest edo after 12edo which supports Meantone. Just major and minor thirds are better approximated than in 12edo. First [[interordinal]] diatonic edo (interordinals are semifourths, semisixths, semitenths, and semitwelfths). | * 19edo: the smallest edo after 12edo which supports [[Meantone]]. Just major and minor thirds are better approximated than in 12edo. First [[interordinal]] diatonic edo (interordinals are semifourths, semisixths, semitenths, and semitwelfths). | ||
* 22edo: diatonic MOS with a fifth so sharp that it has supermajor and subminor thirds for its major and minor thirds. Has a 5-limit major third (approximate 5/4) which *cannot* be reached by stacking four fifths. Supports [[Superpyth]] like 27edo. | * 22edo: diatonic MOS with a fifth so sharp that it has supermajor and subminor thirds for its major and minor thirds. Has a 5-limit major third (approximate 5/4) which *cannot* be reached by stacking four fifths. Supports [[Superpyth]] like 27edo. | ||
* 23edo: the largest edo without a diatonic, 5edo, or 7edo fifth. | * 23edo: the largest edo without a diatonic, 5edo, or 7edo fifth. | ||