User:Zhenlige/EDO impressions: Difference between revisions

Line 18:

*[[17edo|17]]: A circle of fifths in [[34edo]]. Interesting sharp fifths. The fact that its thirds do not approximate any simple ratios well is a pity. (or benefit? I don't know)

*[[18edo|18]]: Incomplete [[36edo]].

*[[19edo|19]]: Very different tradeoffs from 12edo. Usable but imperfect for many temperaments. [[Meantone]] or [[magic]], but with a too flat fifth. Strangely large minor 2nds. Also a compressed [[Carlos Beta]]. For meantone 31edo is more preferable, and for magic 41edo. The lower bound of a good fifth. Good as a subset of [[enneadecal]].

*[[19edo|19]]: Very different tradeoffs from 12edo. Usable but imperfect for many temperaments. [[Meantone]] or [[magic]], but with a too flat fifth. Strangely large minor 2nds. Also a compressed [[Carlos Beta]]. For meantone [[31edo]] is more preferable, and for magic [[41edo]]. The lower bound of a good fifth. Good as a subset of [[enneadecal]].

*[[20edo|20]]: The fact that [[41edo]] is good indicates that 20- and 21edo are probably bad. Does anyone really think an inconsistent 27 can be used with a 3 or 9?

*...

Line 25:

*[[24edo|24]]: 12edo with neutral intervals. Good for prime [[11/1|11]]. Accurate in subgroup 2.3.11.17.19.

*...

*[[26edo|26]]: A stack of [[7/4]]. Incomplete [[130edo]].

*[[26edo|26]]: A stack of [[7/4]]. Meantone but tuned terribly. Incomplete [[130edo]].

*[[27edo|27]]: Worse than both 12- and 22edo for 7-limit. The fact that [[53edo]] is good indicates that 26- and 27edo are probably bad.

*...

@@ Line 18: / Line 18: @@
 *[[17edo|17]]: A circle of fifths in [[34edo]]. Interesting sharp fifths. The fact that its thirds do not approximate any simple ratios well is a pity. (or benefit? I don't know)
 *[[18edo|18]]: Incomplete [[36edo]].
-*[[19edo|19]]: Very different tradeoffs from 12edo. Usable but imperfect for many temperaments. [[Meantone]] or [[magic]], but with a too flat fifth. Strangely large minor 2nds. Also a compressed [[Carlos Beta]]. For meantone 31edo is more preferable, and for magic 41edo. The lower bound of a good fifth. Good as a subset of [[enneadecal]].
+*[[19edo|19]]: Very different tradeoffs from 12edo. Usable but imperfect for many temperaments. [[Meantone]] or [[magic]], but with a too flat fifth. Strangely large minor 2nds. Also a compressed [[Carlos Beta]]. For meantone [[31edo]] is more preferable, and for magic [[41edo]]. The lower bound of a good fifth. Good as a subset of [[enneadecal]].
 *[[20edo|20]]: The fact that [[41edo]] is good indicates that 20- and 21edo are probably bad. Does anyone really think an inconsistent 27 can be used with a 3 or 9?
 *...
@@ Line 25: / Line 25: @@
 *[[24edo|24]]: 12edo with neutral intervals. Good for prime [[11/1|11]]. Accurate in subgroup 2.3.11.17.19.
 *...
-*[[26edo|26]]: A stack of [[7/4]]. Incomplete [[130edo]].
+*[[26edo|26]]: A stack of [[7/4]]. Meantone but tuned terribly. Incomplete [[130edo]].
 *[[27edo|27]]: Worse than both 12- and 22edo for 7-limit. The fact that [[53edo]] is good indicates that 26- and 27edo are probably bad.
 *...