Meantone: Difference between revisions

Line 19:

'''Septimal meantone''' or '''7-limit meantone''' is a natural extension of meantone which also addresses septimal intervals including but not limited to [[7/4]], [[7/5]], and [[7/6]]. By extending the [[circle of fifths]], consonant septimal intervals start to appear. For example, 7/4 is represented by an augmented sixth and is notably present in the augmented sixth chord.

'''Septimal meantone''' or '''7-limit meantone''' is a natural extension of meantone which also addresses septimal intervals including but not limited to [[7/4]], [[7/5]], and [[7/6]]. By extending the [[circle of fifths]], consonant septimal intervals start to appear. For example, 7/4 is represented by an augmented sixth and is notably present in the augmented sixth chord; it can also be seen as a diesis-flat minor seventh.

See [[meantone vs meanpop]] for a comparison of undecimal (11-limit) extensions.

Line 34:

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

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

==== Sharptone ====

@@ Line 19: / Line 19: @@
 {{See also| Meantone family #Septimal meantone }}
-'''Septimal meantone''' or '''7-limit meantone''' is a natural extension of meantone which also addresses septimal intervals including but not limited to [[7/4]], [[7/5]], and [[7/6]]. By extending the [[circle of fifths]], consonant septimal intervals start to appear. For example, 7/4 is represented by an augmented sixth and is notably present in the augmented sixth chord.
+'''Septimal meantone''' or '''7-limit meantone''' is a natural extension of meantone which also addresses septimal intervals including but not limited to [[7/4]], [[7/5]], and [[7/6]]. By extending the [[circle of fifths]], consonant septimal intervals start to appear. For example, 7/4 is represented by an augmented sixth and is notably present in the augmented sixth chord; it can also be seen as a diesis-flat minor seventh.
 See [[meantone vs meanpop]] for a comparison of undecimal (11-limit) extensions.
@@ Line 34: / Line 34: @@
 {{Main| Dominant (temperament) }}
-Dominant is an alternative extension of meantone, which represents 7/4 isas a minor seventh rather than an augmented sixth. This equates 6/5 with 7/6 and 5/4 with 9/7, tempering out [[36/35]] (septimal quarter tone) and [[64/63]] (Archytas' comma).
+Dominant is an alternative extension of meantone, which represents 7/4 as a minor seventh rather than an augmented sixth. This equates 6/5 with 7/6 and 5/4 with 9/7, tempering out [[36/35]] (septimal quarter tone) and [[64/63]] (Archytas' comma).
 ==== Sharptone ====