German sixth chord: Difference between revisions
→In meantone: Typo fix (has -> have) Tags: Mobile edit Mobile web edit |
add to JI Chords category; adjust formatting for consistency with other pages in that category; add links to mentioned intervals |
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* (Meantone) 1 – 5/4 – 3/2 – 125/72 with steps 5/4, 6/5, 75/64. | * (Meantone) 1 – 5/4 – 3/2 – 125/72 with steps 5/4, 6/5, 75/64. | ||
Note the ~125/72 is simultaneously ~225/128, and the ~75/64 is simultaneously ~125/108. | Note the ~125/72 is simultaneously ~225/128, and the ~[[75/64]] is simultaneously ~[[125/108]]. | ||
However, most [[meantone]] tunings have the augmented sixth placed near [[7/4]]. In the historically-prevalent [[quarter-comma meantone]], for example, it is tuned only a few cents shy of a just 7/4, so the meantone German sixth chord can be considered to approximate the [[harmonic seventh chord]]: | However, most [[meantone]] tunings have the augmented sixth placed near [[7/4]]. In the historically-prevalent [[quarter-comma meantone]], for example, it is tuned only a few cents shy of a just 7/4, so the meantone German sixth chord can be considered to approximate the [[harmonic seventh chord]]: | ||
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== In just intonation == | == In just intonation == | ||
Because the German sixth chord is often built on the sixth degree of a minor scale, the [[128:160:192:225]] found on the ♭VI of the [[duodene]] is a good candidate for its interpretation | |||
In the [[5-limit]]: | |||
* Because the German sixth chord is often built on the sixth degree of a minor scale, the [[128:160:192:225]] found on the ♭VI of the [[duodene]] is a good candidate for its interpretation. | |||
[[Category:Just intonation chords]] | |||