Augmented chords in just intonation, some: Difference between revisions
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== 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]]). | |||
Some of the [[interval]]s are listed below in terms of [[cents]]. | |||
Some of the | |||
| Line 17: | Line 12: | ||
10 : 13 : 16 : 18 | aug 7 | 10 : 13 : 16 : 18 | aug 7 | ||
13 : 16 : 20 : 24 | aug neutral 7 | 13 : 16 : 20 : 24 | aug [[neutral]] 7 | ||
| Line 38: | Line 32: | ||
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. | |||
Some of the intervals are listed below in terms of cents. | Some of the intervals are listed below in terms of cents. | ||
The central triad in all three chords is 7:9:11, | The central triad in all three chords is 7:9:11, but each uses a different 7th degree, to come as close as possible to aug7 (without straying into high harmonics). | ||
but each uses a different 7th degree, | |||
to come as close as possible to aug7 (without straying into high harmonics). | |||
| Line 75: | Line 66: | ||
20 : 11 ~ 1035 cents | 20 : 11 ~ 1035 cents | ||
{{todo | intro | discuss title | review | inline=1}} | |||
[[Category:Just intonation chords]] | |||
[[Category:13-limit chords]] | |||