22:26:33: Difference between revisions

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'''22:26:33''', the '''major minthmic minor triad''', is a [[13-limit]] {{w|tertian harmony|tertian}} triad. This triad has a darker quality than the [[10:12:15]] classical minor triad, though not as much as the [[6:7:9]] subminor triad. Here [[13/11]] functions as a [[neogothic major and minor|neogothic]] minor third, being between [[7/6]] and [[6/5]], in fact being (7 + 6)/(6 + 5), which is the [[mediant]] of 7/6 and 6/5, and [[33/26]] functions as the corresponding neogothic major third.

'''22:26:33''', the '''major-minthmic minor triad''', is a [[13-limit]] {{w|tertian harmony|tertian}} triad. This triad has a darker quality than the [[10:12:15]] classical minor triad, though not as much as the [[6:7:9]] subminor triad. Here [[13/11]] functions as a [[neogothic major and minor|neogothic]] minor third, being between [[7/6]] and [[6/5]], in fact being (7 + 6)/(6 + 5), which is the [[mediant]] of 7/6 and 6/5, and [[33/26]] functions as the corresponding neogothic major third.

We can find another neogothic major third by taking the mediant of [[5/4]] and [[9/7]], which is {{nowrap| (5 + 9)/(4 + 7) {{=}} [[14/11]] }}. The triad containing this third and the [[3/2|perfect fifth]] is [[22:28:33]]. Note that these triads are reduced to the [[13-odd-limit]] and invert to each other if and only if {{nowrap| (14/11)⋅(13/11)/(3/2) {{=}} [[364/363]] }}, the minor minthma or gentle comma, is [[tempering out|tempered out]].

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 {{Infobox chord}}
-'''22:26:33''', the '''major minthmic minor triad''', is a [[13-limit]] {{w|tertian harmony|tertian}} triad. This triad has a darker quality than the [[10:12:15]] classical minor triad, though not as much as the [[6:7:9]] subminor triad. Here [[13/11]] functions as a [[neogothic major and minor|neogothic]] minor third, being between [[7/6]] and [[6/5]], in fact being (7 + 6)/(6 + 5), which is the [[mediant]] of 7/6 and 6/5, and [[33/26]] functions as the corresponding neogothic major third.
+'''22:26:33''', the '''major-minthmic minor triad''', is a [[13-limit]] {{w|tertian harmony|tertian}} triad. This triad has a darker quality than the [[10:12:15]] classical minor triad, though not as much as the [[6:7:9]] subminor triad. Here [[13/11]] functions as a [[neogothic major and minor|neogothic]] minor third, being between [[7/6]] and [[6/5]], in fact being (7 + 6)/(6 + 5), which is the [[mediant]] of 7/6 and 6/5, and [[33/26]] functions as the corresponding neogothic major third.
 We can find another neogothic major third by taking the mediant of [[5/4]] and [[9/7]], which is {{nowrap| (5 + 9)/(4 + 7) {{=}} [[14/11]] }}. The triad containing this third and the [[3/2|perfect fifth]] is [[22:28:33]]. Note that these triads are reduced to the [[13-odd-limit]] and invert to each other if and only if {{nowrap| (14/11)⋅(13/11)/(3/2) {{=}} [[364/363]] }}, the minor minthma or gentle comma, is [[tempering out|tempered out]].