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]]. | '''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]] ( | [[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:German sixth chords|###]] <!-- 3-digit first number --> | ||
[[Category:Dominant seventh chords|###]] <!-- 3-digit first number --> | [[Category:Dominant seventh chords|###]] <!-- 3-digit first number --> | ||
Revision as of 01:13, 28 August 2024
| Chord information |
128:160:192:225, a 5-limit German sixth chord, is found rooted at the ♭II (16⁄15) and ♭VI (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 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.