Dominant seventh sharp five chord: Difference between revisions

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fix Archytas steps
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In [[archytas]] temperament, which tempers out [[64/63]], ~16/9 is equated with ~[[7/4]], giving another 25-odd essentially tempered chord:
In [[archytas]] temperament, which tempers out [[64/63]], ~16/9 is equated with ~[[7/4]], giving another 25-odd essentially tempered chord:


* (Archytas) 1/1 ‒ [[5/4]] ‒ [[25/16]] ‒ [[7/4]], with steps ~5/4, ~5/4, ~8/7.
* (Archytas) 1/1 ‒ [[5/4]] ‒ [[25/16]] ‒ [[7/4]], with steps ~5/4, ~5/4, ~28/25.


In [[marvel]] temperament, which tempers out [[225/224]], ~25/16 is equated with ~[[14/9]], and the ~[[64/45]] tritone between a ~5/4 major third a ~[[16/9]] minor seventh is equated with ~[[10/7]], yielding a [[9-odd-limit]] [[essentially tempered chord]]:
In [[marvel]] temperament, which tempers out [[225/224]], ~25/16 is equated with ~[[14/9]], and the ~[[64/45]] tritone between a ~5/4 major third a ~[[16/9]] minor seventh is equated with ~[[10/7]], yielding a [[9-odd-limit]] [[essentially tempered chord]]: