User talk:FloraC: Difference between revisions

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:: But now I'm thinking it might be good to have a grand unified table of fifths and flattened/sharpened-fifth-based temperaments and their member EDOs. An obvious starting point would be to copy and paste the meantone tuning spectrum, but the table would need to have columns added to designate temperament (since some of these would be non-meantone -- for starters, especially Superpyth and Mavila) and extensions; also equivalent extension names for other meantone-like temperaments. Would require some thought of how to have enough information while keeping it readable for those having non-humongous screens, though (especially when something appears on more than one temperament and/or extension).

:: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 14:48, 6 August 2024 (UTC)

::: Closeness to an edostep is a property of a JI interval, so these things go to the interval's page. For example the page 50/33 has a section describing its proximity to 3\5. That should be enough for users looking for information on well temp design. It doesn't have to be in the meantone tuning spectrum.

::: Another problem is right in the "useful eigenmonzo". Eigenmonzo is an RTT concept, and some tunings aren't technically compatible with it. All the fractional Pythagorean-comma tunings aren't, so you gotta specify "as M2", "as m3" etc. which are pretty awkward. Same with the "full-schisma" tuning (the Kirnberger fifth is a d6; you're forcing it to be the P5). The actual tuning that tunes the Kirnberger fifth pure is the 1/11-comma tuning, which is even closer to 7\12. It's also extremely close to the 1/12-comma tuning which tunes the schisma itself pure. That aside, I don't think the Kirnberger fifth is ever actively looked for. It's more of an artifact of well temp design.

::: Speaking of well temp design, I think it has become an art in itself. God knows how many well temps have been invented in the world and so there's no point tryna document all the fifths ever used in them. If you just want a giant table of fifths there's a page for that: ''List of interesting fifths''. It's a bit unmaintained. Maybe you can help cleaning it up.

::: [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 16:08, 6 August 2024 (UTC)

@@ Line 115: / Line 115: @@
 :: But now I'm thinking it might be good to have a grand unified table of fifths and flattened/sharpened-fifth-based temperaments and their member EDOs.  An obvious starting point would be to copy and paste the meantone tuning spectrum, but the table would need to have columns added to designate temperament (since some of these would be non-meantone -- for starters, especially Superpyth and Mavila) and extensions; also equivalent extension names for other meantone-like temperaments.  Would require some thought of how to have enough information while keeping it readable for those having non-humongous screens, though (especially when something appears on more than one temperament and/or extension).
 :: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 14:48, 6 August 2024 (UTC)
+::: Closeness to an edostep is a property of a JI interval, so these things go to the interval's page. For example the page 50/33 has a section describing its proximity to 3\5. That should be enough for users looking for information on well temp design. It doesn't have to be in the meantone tuning spectrum.
+::: Another problem is right in the "useful eigenmonzo". Eigenmonzo is an RTT concept, and some tunings aren't technically compatible with it. All the fractional Pythagorean-comma tunings aren't, so you gotta specify "as M2", "as m3" etc. which are pretty awkward. Same with the "full-schisma" tuning (the Kirnberger fifth is a d6; you're forcing it to be the P5). The actual tuning that tunes the Kirnberger fifth pure is the 1/11-comma tuning, which is even closer to 7\12. It's also extremely close to the 1/12-comma tuning which tunes the schisma itself pure. That aside, I don't think the Kirnberger fifth is ever actively looked for. It's more of an artifact of well temp design.
+::: Speaking of well temp design, I think it has become an art in itself. God knows how many well temps have been invented in the world and so there's no point tryna document all the fifths ever used in them. If you just want a giant table of fifths there's a page for that: ''List of interesting fifths''. It's a bit unmaintained. Maybe you can help cleaning it up.
+::: [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 16:08, 6 August 2024 (UTC)