Meantone: Difference between revisions
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See [[meantone vs meanpop]] for a comparison of undecimal (11-limit) extensions. | See [[meantone vs meanpop]] for a comparison of undecimal (11-limit) extensions. | ||
=== Other septimal extensions === | |||
There are some alternative mappings of the 7-limit meantone, including flattone, dominant and 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. | |||
==== Dominant ==== | |||
'''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]]. | |||
== Chords == | == Chords == | ||
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== Scales == | == Scales == | ||
; | ; EDO tunings | ||
* [[Meantone5]] – pentic scale in 31edo | * [[Meantone5]] – pentic scale in 31edo | ||
* [[Meantone7]] – diatonic scale in 19edo and 31edo | * [[Meantone7]] – diatonic scale in 19edo and 31edo | ||