Xen concepts for beginners: Difference between revisions

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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 for its major and minor thirds. "Minor sevenths" such as A–G and C–B♭ are approximately 7/4 instead of 16/9 or 9/5. 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. "Minor sevenths" such as A–G and C–B♭ are approximately 7/4 instead of 16/9 or 9/5. 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 (350c) and semifourths (250c), each of these lending itself to different harmony. Has 12edo MOS scales as well as new ones.

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* 36edo: Good for primes 3 and 7.

* 37edo: Good for primes 5, 7, 11 and 13, in return for a sharp 3/2.

* 41edo: Good 3; flat 5 and 7; sharp 11 and 13. Known for [[Kite guitar]].

* 41edo: Good 3; flat 5 and 7; sharp 11 and 13. Known for the [[Kite guitar]].

* 46edo: Neogothic 3; sharp 5; flat 7, 11, and 13; good 17. Supports [[Parapyth]]. Some favor it over 41edo.

* 53edo: Is a stack of near-just 3/2's which also approximates primes 5, 7, 13, and 19.

@@ Line 89: / Line 89: @@
 * 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 for its major and minor thirds. "Minor sevenths" such as A&ndash;G and C&ndash;B&#x266D; are approximately 7/4 instead of 16/9 or 9/5. 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. "Minor sevenths" such as A&ndash;G and C&ndash;B&#x266D; are approximately 7/4 instead of 16/9 or 9/5. 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 (350c) and semifourths (250c), each of these lending itself to different harmony. Has 12edo MOS scales as well as new ones.
@@ Line 97: / Line 97: @@
 * 36edo: Good for primes 3 and 7.
 * 37edo: Good for primes 5, 7, 11 and 13, in return for a sharp 3/2.
-* 41edo: Good 3; flat 5 and 7; sharp 11 and 13. Known for [[Kite guitar]].
+* 41edo: Good 3; flat 5 and 7; sharp 11 and 13. Known for the [[Kite guitar]].
 * 46edo: Neogothic 3; sharp 5; flat 7, 11, and 13; good 17. Supports [[Parapyth]]. Some favor it over 41edo.
 * 53edo: Is a stack of near-just 3/2's which also approximates primes 5, 7, 13, and 19.