User:Zhenlige/EDO impressions: Difference between revisions

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*[[20edo|20]]: The fact that [[41edo]] is good indicates that 20- and 21edo are probably bad. Does anyone really think it is OK for a chord to contain a lot of inconsistent mappings involving 3?

*...

*[[22edo|22]]: The smallest EDO with decent [[11-limit]] and the smallest non-meantone EDO with decent [[5-limit]]. [[Superpyth]] and [[porcupine]]. ~~The only reasonable superpyth EDO~~. The upper bound of a good fifth. The best you can get with [[50/49]] tempered out.

*[[22edo|22]]: The smallest EDO with decent [[11-limit]] and the smallest non-meantone EDO with decent [[5-limit]]. [[Superpyth]] and [[porcupine]]. Close to optimal 2.3.7 [[archy]] with compression. The upper bound of a good fifth. The best you can get with [[50/49]] tempered out.

*[[23edo|23]]: Incomplete [[46edo]]. The largest EDO without a [[5L 2s|diatonic]], [[5edo|blackwood]] or [[7edo|whitewood]] fifth.

*[[24edo|24]]: What some non-microtonalists think microtonality is. 12edo with neutrals. Good for prime [[11/1|11]]. Accurate in subgroup 2.3.11.17.19.

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*[[47edo|47]]: Incomplete [[94edo]].

*[[48edo|48]]: A not-so-good multiple of [[12edo]].

*...

*[[49edo|49]]: Close to optimal [[7-limit]] and [[11-limit]] [[superpyth]] with compression (with the octave around 1197 cents). Useless if you don't specifically want superpyth.

*[[50edo|50]]: [[Meantone]] with a flatter fifth than [[31edo]], but I usually use [[golden meantone]] (with slight octave stretching) for this range.

*...

@@ Line 32: / Line 32: @@
 *[[20edo|20]]: The fact that [[41edo]] is good indicates that 20- and 21edo are probably bad. Does anyone really think it is OK for a chord to contain a lot of inconsistent mappings involving 3?
 *...
-*[[22edo|22]]: The smallest EDO with decent [[11-limit]] and the smallest non-meantone EDO with decent [[5-limit]]. [[Superpyth]] and [[porcupine]]. The only reasonable superpyth EDO. The upper bound of a good fifth. The best you can get with [[50/49]] tempered out.
+*[[22edo|22]]: The smallest EDO with decent [[11-limit]] and the smallest non-meantone EDO with decent [[5-limit]]. [[Superpyth]] and [[porcupine]]. Close to optimal 2.3.7 [[archy]] with compression. The upper bound of a good fifth. The best you can get with [[50/49]] tempered out.
 *[[23edo|23]]: Incomplete [[46edo]]. The largest EDO without a [[5L 2s|diatonic]], [[5edo|blackwood]] or [[7edo|whitewood]] fifth.
 *[[24edo|24]]: What some non-microtonalists think microtonality is. 12edo with neutrals. Good for prime [[11/1|11]]. Accurate in subgroup 2.3.11.17.19.
@@ Line 57: / Line 57: @@
 *[[47edo|47]]: Incomplete [[94edo]].
 *[[48edo|48]]: A not-so-good multiple of [[12edo]].
-*...
+*[[49edo|49]]: Close to optimal [[7-limit]] and [[11-limit]] [[superpyth]] with compression (with the octave around 1197 cents). Useless if you don't specifically want superpyth.
 *[[50edo|50]]: [[Meantone]] with a flatter fifth than [[31edo]], but I usually use [[golden meantone]] (with slight octave stretching) for this range.
 *...