128:160:192:225: Difference between revisions

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{{Infobox Chord|~~Name~~=5-~~limit Neapolitan~~, ~~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 [[German sixth chord]], is found rooted at the ♭II ({{Frac|16|15}}) and ♭VI ({{Frac|8|5}}) of the [[duodene]].

[[225/128]] is ~~often~~ considered an augmented sixth rather than a minor seventh, ~~and especially~~ in [[septimal meantone]] it is tuned identically to [[7/4]], so that the ~~chord reduces~~ to ~~the much simpler~~ [[4:5:6:7]]~~. However, chords employing it may still be considered a kind of~~ [[~~dominant seventh chord~~]].

[[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]] and [[marvel]] 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]] ([[12edo]] and its multiples) it is tuned identically to [[36:45:54:64]] and [[20:25:30:36]].

[[Category:Dominant seventh chords]]

If [[128/125]] is tempered out, this chord is tuned identically to both [[256:320:375:450]] and [[20:25:30:36]].

[[Category:German sixth chords|###]]

[[Category:Dominant seventh chords|###]]

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-{{Infobox Chord|Name=5-limit Neapolitan, 5-limit German sixth}}
+{{Infobox Chord|ColorName=yo layoyo-6 or y,Lyy6}}
-'''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 [[German sixth chord]], is found rooted at the ♭II ({{Frac|16|15}}) and ♭VI ({{Frac|8|5}}) of the [[duodene]].
-[[225/128]] is often considered an augmented sixth rather than a minor seventh, and especially in [[septimal meantone]] it is tuned identically to [[7/4]], so that the chord reduces to the much simpler [[4:5:6:7]]. However, chords employing it may still be considered a kind of [[dominant seventh chord]].
+[[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]] and [[marvel]] 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]] ([[12edo]] and its multiples) it is tuned identically to [[36:45:54:64]] and [[20:25:30:36]].
-[[Category:Dominant seventh chords]]
+If [[128/125]] is tempered out, this chord is tuned identically to both [[256:320:375:450]] and [[20:25:30:36]].
+[[Category:German sixth chords|###]] <!-- 3-digit first number -->
+[[Category:Dominant seventh chords|###]] <!-- 3-digit first number -->