6:7:8 - Revision history

FloraC: Merge

2025-12-18T11:44:46Z

Merge

← Older revision		Revision as of 11:44, 18 December 2025
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	~~{{Infobox chord}}~~		#redirect [[4:6:7]]
	'''6:7:8''' is a 7-limit triad consisting of the intervals [[7/6]] and [[8/7]] stacked on top of each other. This chord deviates from traditional harmony in that the intervals divide the [[4/3\|perfect fourth]] rather than the [[3/2\|perfect fifth]]. The 7/6 and 8/7 intervals contrast by [[49/48]], similarly to how [[5/4]] and [[6/5]] contrast by [[25/24]] in [[4:5:6]]. By swapping the order of 7/6 and 8/7, we get the utonal inverse of 6:7:8, that being [[21:24:28\|1/(8:7:6) = 21:24:28]]. The 6:7:8 chord may be better voiced as [[4:6:7]] ~~in order to place the root on the bottom. 4:6:7 is contained in [[4:5:6:7]], the harmonic seventh chord.~~
	~~{{Todo\|expand}}~~

2025-12-17T09:03:33Z

replaced 4:7:12 with 4:6:7. 7/6 is more consonant than 12/7.

← Older revision		Revision as of 09:03, 17 December 2025
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	{{Infobox chord}}		{{Infobox chord}}
	'''6:7:8''' is a 7-limit triad consisting of the intervals [[7/6]] and [[8/7]] stacked on top of each other. This chord deviates from traditional harmony in that the intervals divide the [[4/3\|perfect fourth]] rather than the [[3/2\|perfect fifth]]. The 7/6 and 8/7 intervals contrast by [[49/48]], similarly to how [[5/4]] and [[6/5]] contrast by [[25/24]] in [[4:5:6]]. By swapping the order of 7/6 and 8/7, we get the utonal inverse of 6:7:8, that being [[21:24:28\|1/(8:7:6) = 21:24:28]]. The 6:7:8 chord may be better voiced as 4:7~~:12~~ in order to place the root on the bottom ~~and avoid clashes~~. ~~It's rotation [[~~4:6:7]] is ~~a subchord of~~ [[4:5:6:7]], the harmonic seventh chord.		'''6:7:8''' is a 7-limit triad consisting of the intervals [[7/6]] and [[8/7]] stacked on top of each other. This chord deviates from traditional harmony in that the intervals divide the [[4/3\|perfect fourth]] rather than the [[3/2\|perfect fifth]]. The 7/6 and 8/7 intervals contrast by [[49/48]], similarly to how [[5/4]] and [[6/5]] contrast by [[25/24]] in [[4:5:6]]. By swapping the order of 7/6 and 8/7, we get the utonal inverse of 6:7:8, that being [[21:24:28\|1/(8:7:6) = 21:24:28]]. The 6:7:8 chord may be better voiced as [[4:6:7]] in order to place the root on the bottom. 4:6:7 is contained in [[4:5:6:7]], the harmonic seventh chord.
	{{Todo\|expand}}		{{Todo\|expand}}

2025-12-14T04:29:53Z

replaced redirect with info on semiquartal harmony

← Older revision		Revision as of 04:29, 14 December 2025
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	~~#REDIRECT~~ [[4:6:7]]		{{Infobox chord}}
			'''6:7:8''' is a 7-limit triad consisting of the intervals [[7/6]] and [[8/7]] stacked on top of each other. This chord deviates from traditional harmony in that the intervals divide the [[4/3\|perfect fourth]] rather than the [[3/2\|perfect fifth]]. The 7/6 and 8/7 intervals contrast by [[49/48]], similarly to how [[5/4]] and [[6/5]] contrast by [[25/24]] in [[4:5:6]]. By swapping the order of 7/6 and 8/7, we get the utonal inverse of 6:7:8, that being [[21:24:28\|1/(8:7:6) = 21:24:28]]. The 6:7:8 chord may be better voiced as 4:7:12 in order to place the root on the bottom and avoid clashes. It's rotation [[4:6:7]] is a subchord of [[4:5:6:7]], the harmonic seventh chord.
			{{Todo\|expand}}

2025-11-18T23:05:24Z

Redirected page to 4:6:7

New page

#REDIRECT [[4:6:7]]