Major and minor triads: Difference between revisions
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A '''major triad''' is a [[triad]] comprising a root, [[major]] third, and [[perfect]] fifth. | A '''major triad''' is a [[triad]] comprising a root, [[major]] third, and [[perfect]] fifth. | ||
In the | In the 3-limit: | ||
* [[ | * [[64:81:96]] is found on the I, IV, and V of the Pythagorean [[5L 2s|diatonic scale]]. | ||
In the 5-limit: | In the 5-limit: | ||
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* [[4:5:6]] is found on the I ({{Frac|1|1}}), IV ({{Frac|4|3}}), and V ({{Frac|3|2}}) of Ptolemy's intense diatonic scale ([[Zarlino]]). | * [[4:5:6]] is found on the I ({{Frac|1|1}}), IV ({{Frac|4|3}}), and V ({{Frac|3|2}}) of Ptolemy's intense diatonic scale ([[Zarlino]]). | ||
In the | In the 7-limit: | ||
* [[ | * [[14:18:21]], a ''supermajor triad'', is a [[9-odd-limit]] chord that tunes the third sharper than the 5-limit major. | ||
=== Simple minor triads === | === Simple minor triads === | ||
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A '''minor triad''' is a [[triad]] comprising a root, [[minor]] third, and fifth. | A '''minor triad''' is a [[triad]] comprising a root, [[minor]] third, and fifth. | ||
In the [[ | In the [[3-limit]]: | ||
* [[ | * [[54:64:81]] is found on the ii ({{Frac|9|8}}), iii ({{Frac|81|64}}), and vi ({{Frac|27|16}}) of the Pythagorean diatonic scale. | ||
In the [[5-limit]]: | In the [[5-limit]]: | ||
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* [[27:32:40]] is found on the ii ({{Frac|9|8}}) of Ptolemy's intense diatonic scale. | * [[27:32:40]] is found on the ii ({{Frac|9|8}}) of Ptolemy's intense diatonic scale. | ||
In the [[ | In the [[7-limit]]: | ||
* [[ | * [[6:7:9]], a ''subminor triad'', is a [[9-odd-limit]] chord that tunes the third flatter than the 5-limit minor. | ||
== SCL files == | == SCL files == | ||