Talk:17L 2s: Difference between revisions

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:* I don't think the size of just interval that represent the generator of the temperament need to fall within an exact range. 2.3.25-restricted hanson's generator is …~36/25(631.28c)~625/432(639.39c)~…, and 2.3.25.13-restricted cata's generator is …~36/25~13/9(636.62c)~…, both of which seem to fit this mos.

: --[[User:Dummy index|Dummy index]] ([[User talk:Dummy index|talk]]) 13:30, 1 May 2025 (UTC)

:: I also noticed that problem with 36/25 (unless you make a nonstandard subgroup notation extension that lets you use both a prime and a multiple of that prime or both flat and sharp versions of that prime, depending upon a simple selection rule). Probably should add a note about that to what I proposed above. With respect to fitting into the range, if you DON'T do that (and depending upon generator constitution, often even if you do), you end up with an awful lot of EDOs where the generator doesn't map correctly — for instance, both 23/16 and 13/9 have spotty mapping in this tuning table (although at least covering enough EDOs to be useful for a decent subset of it), while the Alphatricot generator doesn't map correctly for anything other than a very narrow band close to 53edo. I've been working on this under Musical Mad Science under my user page (but it's ''nowhere near ready'' to put here or on any other official page), and found that 62/43 maps correctly to almost everything (and the very small number of exceptions are candidates for wart rescue). [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 15:25, 1 May 2025 (UTC)

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 :* I don't think the size of just interval that represent the generator of the temperament need to fall within an exact range. 2.3.25-restricted hanson's generator is …~36/25(631.28c)~625/432(639.39c)~…, and 2.3.25.13-restricted cata's generator is …~36/25~13/9(636.62c)~…, both of which seem to fit this mos.
 : --[[User:Dummy index|Dummy index]] ([[User talk:Dummy index|talk]]) 13:30, 1 May 2025 (UTC)
+:: I also noticed that problem with 36/25 (unless you make a nonstandard subgroup notation extension that lets you use both a prime and a multiple of that prime or both flat and sharp versions of that prime, depending upon a simple selection rule).  Probably should add a note about that to what I proposed above.  With respect to fitting into the range, if you DON'T do that (and depending upon generator constitution, often even if you do), you end up with an awful lot of EDOs where the generator doesn't map correctly &mdash; for instance, both 23/16 and 13/9 have spotty mapping in this tuning table (although at least covering enough EDOs to be useful for a decent subset of it), while the Alphatricot generator doesn't map correctly for anything other than a very narrow band close to 53edo.  I've been working on this under Musical Mad Science under my user page (but it's ''nowhere near ready'' to put here or on any other official page), and found that 62/43 maps correctly to almost everything (and the very small number of exceptions are candidates for wart rescue).  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 15:25, 1 May 2025 (UTC)