Diminished triad: Difference between revisions
Created page with "{{Wikipedia|Diminished triad}} A '''diminished triad''' is a triad comprising a root, minor third, and diminished fifth. == In just intonation == I..." |
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In the 7-limit: | In the 7-limit: | ||
* [[5:6:7]] is an upper structure of [[4:5:6:7]], the ''harmonic seventh chord''. | * [[5:6:7]] is an upper structure of [[4:5:6:7]], the ''harmonic seventh chord''. | ||
* [[30:35:42]] (1/1 - 7/6 - 7/5) is a subharmonic chord. | |||
In the 5-limit: | In the 5-limit: | ||
* [[45:54:64]] is found on | * [[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]]. | ||
In the 3-limit: | In the 3-limit: | ||
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[[Category:Diminished triads| ]] <!-- main article --> | [[Category:Diminished triads| ]] <!-- main article --> | ||
[[Category:Just intonation chords]] | [[Category:Just intonation chords]] | ||
{{todo|inline=1|expand|add examples|comment=needs information about temperaments}} | |||