128:160:192:225: Difference between revisions

Bcmills (talk | contribs)
In the second paragraph, emphasize the connections between this chord and meantone dominant sevenths, to explain its inclusion in the Dominant seventh chords category.
Bcmills (talk | contribs)
Remove reference to Neapolitan chord (turns out the Neapolitan chord is a triad, not a tetrad); omit needless words.
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{{Infobox Chord|Name=5-limit Neapolitan, 5-limit German sixth}}
{{Infobox Chord|Name=5-limit German sixth}}
'''128:160:192:225''', a [[5-limit]] interpretation of an inversion of the {{w|Neapolitan chord|''Neapolitan''}} or {{w|Augmented sixth chord #German sixth|''German sixth chord''}}, is found rooted at the ♭II ({{Frac|16|15}}) and ♭VI ({{Frac|8|5}}) of the [[duodene]].
'''128:160:192:225''', a [[5-limit]] {{w|Augmented sixth chord #German sixth|''German sixth chord''}}, is found rooted at the ♭II ({{Frac|16|15}}) and ♭VI ({{Frac|8|5}}) of the [[duodene]].


[[225/128]] is usually considered an augmented sixth rather than a minor seventh; however, it is often tempered in a way that makes this chord indistinguishable from certain kinds of [[dominant seventh chord]]. For example, in [[septimal meantone]] it is tuned identically to the much simpler harmonic seventh chord [[4:5:6:7]], and in meantone tunings that also temper out the [[Pythagorean comma]] (such as [[12edo]] and its multiples) it is tuned identically to [[36:45:54:64]] and [[20:25:30:36]].
[[225/128]] is usually considered an augmented sixth rather than a minor seventh; however, it is often tempered in a way that makes this chord indistinguishable from certain kinds of [[dominant seventh chord]]. For example, in [[septimal meantone]] it is tuned identically to the much simpler harmonic seventh chord [[4:5:6:7]], and in meantone tunings that also temper out the [[Pythagorean comma]] (such as [[12edo]] and its multiples) it is tuned identically to [[36:45:54:64]] and [[20:25:30:36]].


[[Category:Dominant seventh chords]]
[[Category:Dominant seventh chords]]