Diminished triad: Difference between revisions

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Mention 25:30:36 before 135:160:192 in the JI section. Of the two diminished chords in the duodene but not found in Zarlino, 25:30:36 is simpler.
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In the 5-limit:
In the 5-limit:
* [[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.
* [[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.
* [[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]].
* [[135:160:192]] is found on ii<sup>o</sup> ({{Frac|9|8}}) and ♯vi<sup>o</sup> ({{Frac|45|32}}) in the [[duodene]].
* [[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]].


In the 3-limit:
In the 3-limit: