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)

: More properly speaking, they 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) derivatives of meantone, which is rank-2 (all fifths the same). [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:01, 17 June 2025 (UTC)

: More properly speaking, they 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) derivatives of meantone, which is rank-2 (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 the circle of fifths (and technically it's a diminished sixth) that (barely) isn't so far off as to put it out of diatonic range. That would qualify as a finite note subset of a rank-2 temperament (meantone) while being usable 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 shoehorned circle and no purposely-resized second size of fifth, but as far as I know 1/6-comma meantone was the only one actually used that way. [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:06, 17 June 2025 (UTC)

Revision as of 20:01, 17 June 2025 view source Lucius Chiaraviglio (talk \| contribs) 1,167 edits →Meantone and being regular/rank-2: Well-tempered derivatives of meantone ← Older edit		Revision as of 20:06, 17 June 2025 view source Lucius Chiaraviglio (talk \| contribs) 1,167 edits →Meantone and being regular/rank-2: 1/6-comma meantone Newer edit →
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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)		Are historical well temperaments not a form of meantone temperament? -- [[User:VectorGraphics\|VectorGraphics]] ([[User talk:VectorGraphics\|talk]]) 19:24, 17 June 2025 (UTC)

	: More properly speaking, they 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) derivatives of meantone, which is rank-2 (all fifths the same). [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 20:01, 17 June 2025 (UTC)		: More properly speaking, they 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) derivatives of meantone, which is rank-2 (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 the circle of fifths (and technically it's a diminished sixth) that (barely) isn't so far off as to put it out of diatonic range. That would qualify as a finite note subset of a rank-2 temperament (meantone) while being usable 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 shoehorned circle and no purposely-resized second size of fifth, but as far as I know 1/6-comma meantone was the only one actually used that way. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 20:06, 17 June 2025 (UTC)