Talk:Meantone family: Difference between revisions
→Sharptone "well-tuned" sharp of 5edo?: Too bad the name went to an exotemperament |
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::: Meantone clearly makes no sense beyond 3\5. Dominant doesn't make much sense beyond 10\17. I described the range of dominant as 7\12 to 10\17 in the Arhcytas clan page, which I hope you like. Unfortunately 10\17 isn't a natural boundary for meantone extensions, so maybe we'll keep 7\12 to 3\5 for dominant as we discuss it in this article. As for sharptone, the only 7-odd-limit monotone range of it is the singleton of 3\5, right? So that's the case for tuning it to 3\5. Our conventional optimization methods are least squares, which also make sense, but they obviously don't take those constraints into account. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 06:21, 11 July 2025 (UTC) | ::: Meantone clearly makes no sense beyond 3\5. Dominant doesn't make much sense beyond 10\17. I described the range of dominant as 7\12 to 10\17 in the Arhcytas clan page, which I hope you like. Unfortunately 10\17 isn't a natural boundary for meantone extensions, so maybe we'll keep 7\12 to 3\5 for dominant as we discuss it in this article. As for sharptone, the only 7-odd-limit monotone range of it is the singleton of 3\5, right? So that's the case for tuning it to 3\5. Our conventional optimization methods are least squares, which also make sense, but they obviously don't take those constraints into account. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 06:21, 11 July 2025 (UTC) | ||
:::: . . . Which leaves me wishing that the name Sharptone hadn't been taken for what is really an exotemperament extension of Meantone, so that it could have been used for something more fitting as a counterpart to Flattone, like the strong extension that gives the patent 7th harmonic for 55edo, 67edo, and 122edo (to which I gave the placeholder name Mildtone way above). [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:28, 11 July 2025 (UTC) | |||
: Put my vote in for that question as well. [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:20, 10 July 2025 (UTC) | : Put my vote in for that question as well. [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:20, 10 July 2025 (UTC) | ||
:: All I can think is that, sharp of 5edo, the M6 becomes sharp of the m7, and they cross over at 960 cents. [[User:Jerdle|Jerdle]] ([[User talk:Jerdle|talk]]) 09:50, 10 July 2025 (UTC) | :: All I can think is that, sharp of 5edo, the M6 becomes sharp of the m7, and they cross over at 960 cents. [[User:Jerdle|Jerdle]] ([[User talk:Jerdle|talk]]) 09:50, 10 July 2025 (UTC) | ||