128:160:192:225: Difference between revisions

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'''128:160:192:225''', a [[5-limit]] [[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]] 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:German sixth chords|###]]

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

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 '''128:160:192:225''', a [[5-limit]] [[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]] 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:German sixth chords|###]] <!-- 3-digit first number -->
 [[Category:Dominant seventh chords|###]] <!-- 3-digit first number -->