Augmented chords in just intonation, some: Difference between revisions
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== Harmonic augmented 7th chords based on 8:10:13 == | |||
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The central [[triad]] in all three [[chord]]s is 8:10:13, but each uses a different 7th degree, to come as close as possible to the familiar aug7 (without straying into [[17-limit|high harmonics]]). | The central [[triad]] in all three [[chord]]s is 8:10:13, but each uses a different 7th degree, to come as close as possible to the familiar aug7 (without straying into [[17-limit|high harmonics]]). | ||
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24 : 13 ~ 1061 cents | 24 : 13 ~ 1061 cents | ||
== | == Augmented 7th chords based on 9:11:13 == | ||
Interestingly, none of these chords has a [[5/4|5:4]]. Someone might argue that a chord with a [[neutral third scale|neutral third]] is not properly augmented, but they certainly sound closer to augmented than they do to anything else in Western music. | Interestingly, none of these chords has a [[5/4|5:4]]. Someone might argue that a chord with a [[neutral third scale|neutral third]] is not properly augmented, but they certainly sound closer to augmented than they do to anything else in Western music. | ||
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20 : 11 ~ 1035 cents | 20 : 11 ~ 1035 cents | ||
[[Category:Just intonation]] | {{todo | intro | discuss title | review | inline=1}} | ||
[[Category:Just intonation chords]] | |||
[[Category:13-limit chords]] | [[Category:13-limit chords]] |