53edo: Difference between revisions

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 This make 53edo excellent (for its size) in the 2.3.5.7.11.13.19.23.37.41.71.73.79.83 subgroup, although some higher error primes like 11 and 23 require the right context to be convincing.
-Note that the high primes, in rooted (/2<sup>n</sup>) position, essentially act as alternate interpretations of [[LCJI]] intervals, if you want to force a rooted interpretation; namely:
+Note that the high primes, in [[rooted]] (/2<sup>''n''</sup>) position, essentially act as alternate interpretations of [[LCJI]] intervals, if you want to force a rooted interpretation; namely: [[71/64]] as ~[[10/9]], [[73/64]] as ~[[8/7]], [[79/64]] as ~[[16/13]], and perhaps most questionably in the context of 53edo, [[83/64]] as ~[[13/10]].
-[[71/64]] as ~[[10/9]], [[73/64]] as ~[[8/7]], [[79/64]] as ~[[16/13]], and perhaps most questionably in the context of 53edo, [[83/64]] as ~[[13/10]]. (Note that [[8edo]] offers a very good approximation of [[83/64]], so if you are working with a system that maps 13/10 to 3\8 = 450.000{{cent}} it makes more sense to think of 83/64 as the rooted approximation of 13/10 in that context.)
-{{clear}}
 == Regular temperament properties ==