Augmented chords in just intonation, some: Difference between revisions

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== Harmonic augmented 7th chords based on 8:10:13 ==
 
== harmonic augmented 7th chords based on 8:10:13 ==


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 ==
== 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:Chords]]
 
[[Category:Just intonation]]
{{todo | intro | discuss title | review | inline=1}}
 
[[Category:Just intonation chords]]
[[Category:13-limit chords]]
[[Category:13-limit chords]]