Augmented triad: Difference between revisions

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The gap remaining to close the octave is another identical fifth (~5/4), giving rise to the temperament's name after this chord.
The gap remaining to close the octave is another identical fifth (~5/4), giving rise to the temperament's name after this chord.


In [[marvel|marvel temperament]], the ~25/16 augmented fifth is tempered together with ~[[14/9]] (tempering out the difference of [[224/225]]). The resulting intervals are ~5/4, ~5/4, and ~14/9, making the augmented triad a [[9-odd-limit]] essentially tempered chord:
In [[marvel|marvel temperament]], the ~25/16 augmented fifth is tempered together with ~[[14/9]] (tempering out the difference of [[225/224|224/225]]). The resulting intervals are ~5/4, ~5/4, and ~14/9, making the augmented triad a [[9-odd-limit]] essentially tempered chord:


* ([[Marvel chords|Marvel]]) 1 – 5/4 – 14/9
* ([[Marvel chords|Marvel]]) 1 – 5/4 – 14/9