Diminished triad: Difference between revisions

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Diminished triad

A diminished triad is a triad comprising a root, minor third, and diminished fifth.

In the 7-limit:

In the 5-limit:

45:54:64 is found on vii^o (45⁄32) in Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic.
135:160:192 is found on ii^o (9⁄8) and ♯vi^o (45⁄32) in the duodene.
25:30:36 is obtained by stacking two 6/5 minor thirds, and found on iii^o (5⁄4) and vi^o (5⁄3) in the duodene.

In the 3-limit:

@@ Line 9: / Line 9: @@
 In the 5-limit:
-* [[45:54:64]] is found on the vii<sup>o</sup> ({{Frac|45|32}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common [[5-limit]] diatonic.
+* [[45:54:64]] is found on vii<sup>o</sup> ({{Frac|45|32}}) in Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common [[5-limit]] diatonic.
 * [[135:160:192]] is found on ii<sup>o</sup> ({{Frac|9|8}}) and ♯vi<sup>o</sup> ({{Frac|45|32}}) in the [[duodene]].
 * [[25:30:36]] is obtained by stacking two [[6/5]] minor thirds, and found on iii<sup>o</sup> ({{Frac|5|4}}) and vi<sup>o</sup> ({{Frac|5|3}}) in the [[duodene]].