Talk:Meantone: Difference between revisions

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Are historical well temperaments not a form of meantone temperament? -- [[User:VectorGraphics|VectorGraphics]] ([[User talk:VectorGraphics|talk]]) 19:24, 17 June 2025 (UTC)

: If I understand correctly (including from my reading of the article here about [[well temperament]]s), most well temperaments (historical and otherwise) would be derivatives of meantone temperament rather than meantone itself. They could be viewed as finite note subsets of rank-3 or higher (depending upon the number of different fifth sizes) temperaments derived from meantone, which is rank-2 (having all fifths the same).

: The exception would be something like 12 note 1/6-comma meantone that has a single wolf fifth that is just what is left over to close a finite section of the helix of fifths into a circle (and technically it's a diminished sixth rather than a real fifth), with the proviso that it isn't so far off from a real fifth as to put it out of diatonic range. Since this is sufficient for a circulating temperament, that kind of well temperament would qualify as a finite note subset of a rank-2 temperament (meantone) while being usable (even if not very good) as a circulating temperament.

: The same would be true if anybody had come up with an even less-flattened meantone to use as-is with a likewise finite subset of the helix of fifths being shoehorned into circle (and no purposely-resized second size of fifth). I don't know of anything other than 1/6-comma meantone being used that way in actual practice, but the [[historical temperaments]] page here mentions Romieu and 1/7-comma meantone (of which the 12 note subset would be more circulation-friendly than 12 note 1/6-comma meantone), so depending upon whether that got into actual performance, that might be another example.

: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:08, 17 June 2025 (UTC)

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 Are historical well temperaments not a form of meantone temperament? -- [[User:VectorGraphics|VectorGraphics]] ([[User talk:VectorGraphics|talk]]) 19:24, 17 June 2025 (UTC)
+: If I understand correctly (including from my reading of the article here about [[well temperament]]s), most well temperaments (historical and otherwise) would be derivatives of meantone temperament rather than meantone itself.  They could be viewed as finite note subsets of rank-3 or higher (depending upon the number of different fifth sizes) temperaments derived from meantone, which is rank-2 (having all fifths the same).
+: The exception would be something like 12 note 1/6-comma meantone that has a single wolf fifth that is just what is left over to close a finite section of the helix of fifths into a circle (and technically it's a diminished sixth rather than a real fifth), with the proviso that it isn't so far off from a real fifth as to put it out of diatonic range.  Since this is sufficient for a circulating temperament, that kind of well temperament would qualify as a finite note subset of a rank-2 temperament (meantone) while being usable (even if not very good) as a circulating temperament.
+: The same would be true if anybody had come up with an even less-flattened meantone to use as-is with a likewise finite subset of the helix of fifths being shoehorned into circle (and no purposely-resized second size of fifth).  I don't know of anything other than 1/6-comma meantone being used that way in actual practice, but the [[historical temperaments]] page here mentions Romieu and 1/7-comma meantone (of which the 12 note subset would be more circulation-friendly than 12 note 1/6-comma meantone), so depending upon whether that got into actual performance, that might be another example.
+: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:08, 17 June 2025 (UTC)