FloraC: Review

2026-01-17T10:36:12Z

Review

← Older revision		Revision as of 10:36, 17 January 2026
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	{{Infobox chord}}		{{Infobox chord}}
	'''22:26:33''', the '''major minthmic ~~minor triad''' or '''neogothic~~ 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]] 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~~. We can similarly find the neogothic major third by taking the mediant of [[5/4]] and [[9/7]]~~, ~~which is (5+9)/(4+7) = [[14/11]]. The triad containing this third~~ and ~~the~~ [[3/~~2\|perfect fifth~~]] ~~is [[22:28:33]], which can be considered~~ the neogothic major ~~triad. Note that these triads only invert to each other if and only if (14/11)*(13/11)/(3/2) = [[364/363]], the minor minthma or gentle comma, is tempered out~~.		'''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.

	{{~~Todo~~\|~~expand~~}}		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]].

			== See also ==
			* [[26:33:39]] – its inverse

	[[Category:Minor triads]]		[[Category:Minor triads]]

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2026-01-17T05:23:30Z

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{{Infobox chord}}
'''22:26:33''', the '''major minthmic minor triad''' or '''neogothic 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]] 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. We can similarly find the neogothic major third by taking the mediant of [[5/4]] and [[9/7]], which is (5+9)/(4+7) = [[14/11]]. The triad containing this third and the [[3/2|perfect fifth]] is [[22:28:33]], which can be considered the neogothic major triad. Note that these triads only invert to each other if and only if (14/11)*(13/11)/(3/2) = [[364/363]], the minor minthma or gentle comma, is tempered out.

{{Todo|expand}}

[[Category:Minor triads]]

22:26:33 - Revision history

FloraC: Review

Overthink: create page