Augmented triad: Difference between revisions
m The → A, since there are multiple augmented triads |
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* (Augmented) 1 – 5/4 – 8/5 | * (Augmented) 1 – 5/4 – 8/5 | ||
The gap remaining to close the octave is another identical | The gap remaining to close the octave is another identical third (~5/4), giving rise to the temperament's name after this chord. | ||
If [[225/224]] is tempered out, as in [[marvel]] and [[septimal meantone]], the ~25/16 augmented fifth is tempered together with ~[[14/9]]. The resulting intervals are ~5/4, ~5/4, and ~14/9, making the augmented triad a [[9-odd-limit]] essentially tempered chord (→ [[Marvel chords]]). | If [[225/224]] is tempered out, as in [[marvel]] and [[septimal meantone]], the ~25/16 augmented fifth is tempered together with ~[[14/9]]. The resulting intervals are ~5/4, ~5/4, and ~14/9, making the augmented triad a [[9-odd-limit]] essentially tempered chord (→ [[Marvel chords]]). | ||
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In the [[7-limit]]: | In the [[7-limit]]: | ||
* [[36:45:56]] is the simplest JI tuning of the 7-limit marvel augmented chord. | * [[36:45:56]] (1/1 – 5/4 – 14/9) is the simplest JI tuning of the 7-limit marvel augmented chord. | ||
* [[35:45:56]] (1/1 –  9/7 – 8/5) | |||
* [[28:35:45]] (1/1 – 5/4 – [[45/28]]) | |||
* [[28:36:45]] (1/1 – 9/7 – [[45/28]]) | |||
In the [[5-limit]]: | In the [[5-limit]]: | ||