editing disabled

32/25
|5 0 -2>
427.3726 cents
sound sample

32/25, the classic diminished fourth (approx. 427.4 cents in size), is the interval between 5/4 and 8/5. It is 225/224 flat of 9/7, and tempering out 225/224 makes 1-5/4-8/5 into the marvel triad. It is also 176/175 sharp of 14/11, and tempering out 176/175 makes 1-5/4-8/5 into the valinorsmic augmented triad.