Meantone: Difference between revisions

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=== Other septimal extensions ===

There are some alternative mappings of the 7-limit meantone, including flattone, dominant and sharptone.

There are some alternative mappings of the 7-limit meantone, including [[Meantone family #Flattone|flattone]], [[Meantone family #Dominant|dominant]] and [[Meantone family #Sharptone|sharptone]].

==== Flattone ====

'''Flattone''' is an alternative extension of meantone, which 7/4 is represented by a diminished seventh rather than augmented sixth. The fifth interval is adjusted narrower, nine of which give 8/7 and thirteen of which give 10/7 with octave reduction. Alternatively, stacking three minor thirds results in a diminished seventh that is close to 7/4.

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'''Dominant''' is an alternative extension of meantone, which 7/4 is represented by a minor seventh rather than augmented sixth. This results equating 6/5 with 7/6 and 5/4 with 9/7, or tempering out [[36/35]] (septimal quarter tone) and [[64/63]] (Archytas comma).

==== Sharptone ====

'''Sharptone''' is a low-accuracy temperament ~~which~~ which 7/4 is represented by a major sixth. This results equating 7/6 with 9/8 and 4/3 with 7/5, or tempering out [[21/20]] and [[28/27]].

'''Sharptone''' is a low-accuracy temperament which 7/4 is represented by a major sixth. This results equating 7/6 with 9/8 and 4/3 with 7/5, or tempering out [[21/20]] and [[28/27]].

== Chords ==

@@ Line 23: / Line 23: @@
 === Other septimal extensions ===
-There are some alternative mappings of the 7-limit meantone, including flattone, dominant and sharptone.
+There are some alternative mappings of the 7-limit meantone, including [[Meantone family #Flattone|flattone]], [[Meantone family #Dominant|dominant]] and [[Meantone family #Sharptone|sharptone]].
 ==== Flattone ====
 '''Flattone''' is an alternative extension of meantone, which 7/4 is represented by a diminished seventh rather than augmented sixth. The fifth interval is adjusted narrower, nine of which give 8/7 and thirteen of which give 10/7 with octave reduction. Alternatively, stacking three minor thirds results in a diminished seventh that is close to 7/4.
@@ Line 29: / Line 29: @@
 '''Dominant''' is an alternative extension of meantone, which 7/4 is represented by a minor seventh rather than augmented sixth. This results equating 6/5 with 7/6 and 5/4 with 9/7, or tempering out [[36/35]] (septimal quarter tone) and [[64/63]] (Archytas comma).
 ==== Sharptone ====
-'''Sharptone''' is a low-accuracy temperament which which 7/4 is represented by a major sixth. This results equating 7/6 with 9/8 and 4/3 with 7/5, or tempering out [[21/20]] and [[28/27]].
+'''Sharptone''' is a low-accuracy temperament which 7/4 is represented by a major sixth. This results equating 7/6 with 9/8 and 4/3 with 7/5, or tempering out [[21/20]] and [[28/27]].
 == Chords ==