Xen concepts for beginners: Difference between revisions

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== Edos ==

Todo: Say something about 26edo and 27edo?

* [[5edo]]: Equalized pentatonic ("Equipentatonic").

* [[7edo]]: Equalized diatonic ("Equiheptatonic").

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* [[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).

* [[22edo]]: Diatonic MOS with a fifth so sharp that it has supermajor and subminor thirds (approximately [[9/7]] and [[7/6]]) 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 (approximately [[9/7]] and [[7/6]]) 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.

* [[24edo]]: Has both neutral thirds (and other neutral intervals) and semifourths (and other interordinals), each of these lending itself to different harmony. Has 12edo MOS scales as well as new ones.

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 == Edos ==
+Todo: Say something about 26edo and 27edo?
 * [[5edo]]: Equalized pentatonic ("Equipentatonic").
 * [[7edo]]: Equalized diatonic ("Equiheptatonic").
@@ Line 89: / Line 90: @@
 * [[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).
-* [[22edo]]: Diatonic MOS with a fifth so sharp that it has supermajor and subminor thirds (approximately [[9/7]] and [[7/6]]) 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 (approximately [[9/7]] and [[7/6]]) 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.
 * [[24edo]]: Has both neutral thirds (and other neutral intervals) and semifourths (and other interordinals), each of these lending itself to different harmony. Has 12edo MOS scales as well as new ones.