Xen concepts for beginners: Difference between revisions

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* [[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.

* [[26edo]]: Even softer diatonic MOS than 19edo, so much that the diatonic major third is nearly exactly [[26/21]] and the diatonic minor second is nearly exactly [[13/12]]. The [[7/4]] is also nearly exact, and the edo also has a good [[14/11]] and [[11/8]].

* [[27edo]]: Even harder diatonic MOS than 22edo; has a near-exact [[7/6]] and splits the sharp fifth into two approximate [[16/13]] sharp neutral thirds.

* [[27edo]]: Even harder diatonic MOS than 22edo; the fifth is approximately about as sharp (by 9.2c) as 26edo's is flat (by 9.6c). It has a near-exact [[7/6]] and splits the sharp fifth into two approximate [[16/13]] sharp neutral thirds.

* [[29edo]]: Weird flat neogothic edo.

* [[31edo]]: Often considered the best Meantone edo. Close to historical [[quarter-comma meantone]]. Not only is its major third close to just [[5/4]], it also matches the harmonic seventh [[7/4]] well, also approximating other JI ratios like [[6/5]] (just minor third), [[7/6]] (septimal subminor third), and [[25/16]] (classical augmented fifth).

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 * [[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.
 * [[26edo]]: Even softer diatonic MOS than 19edo, so much that the diatonic major third is nearly exactly [[26/21]] and the diatonic minor second is nearly exactly [[13/12]]. The [[7/4]] is also nearly exact, and the edo also has a good [[14/11]] and [[11/8]].
-* [[27edo]]: Even harder diatonic MOS than 22edo; has a near-exact [[7/6]] and splits the sharp fifth into two approximate [[16/13]] sharp neutral thirds.
+* [[27edo]]: Even harder diatonic MOS than 22edo; the fifth is approximately about as sharp (by 9.2c) as 26edo's is flat (by 9.6c). It has a near-exact [[7/6]] and splits the sharp fifth into two approximate [[16/13]] sharp neutral thirds.
 * [[29edo]]: Weird flat neogothic edo.
 * [[31edo]]: Often considered the best Meantone edo. Close to historical [[quarter-comma meantone]]. Not only is its major third close to just [[5/4]], it also matches the harmonic seventh [[7/4]] well, also approximating other JI ratios like [[6/5]] (just minor third), [[7/6]] (septimal subminor third), and [[25/16]] (classical augmented fifth).