3136/3125: Difference between revisions

Cmloegcmluin (talk | contribs)
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Godtone (talk | contribs)
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=== Orion ===
=== Orion ===
As [[28/25]] is close to [[19/17]] and as the latter is the mediant of [[9/8]] and [[10/9]] (which together make [[5/4]]), it is natural to temper ([[28/25]])/([[19/17]]) = [[476/475]], or equivalently stated, the [[square superparticular|semiparticular]] ([[5/4]])/([[19/17]])<sup>2</sup> = [[1445/1444]], which together imply tempering out 3136/3125 and [[2128/2125]], resulting in a rank-3 temperament. The name comes from when it was first proposed on the wiki as part of [[User:Royalmilktea #The Milky Way|The Milky Way realm]].
As [[28/25]] is close to [[19/17]] and as the latter is the mediant of [[9/8]] and [[10/9]] (which together make [[5/4]]), it is natural to temper ([[28/25]])/([[19/17]]) = [[476/475]], or equivalently stated, the [[semiparticular]] ([[5/4]])/([[19/17]])<sup>2</sup> = [[1445/1444]], which together imply tempering out 3136/3125 and [[2128/2125]], resulting in a rank-3 temperament. The name comes from when it was first proposed on the wiki as part of [[User:Royalmilktea #The Milky Way|The Milky Way realm]].


[[Subgroup]]: 2.5.7.17.19
[[Subgroup]]: 2.5.7.17.19