6:7:8: Difference between revisions
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replaced redirect with info on semiquartal harmony Tag: Removed redirect |
replaced 4:7:12 with 4:6:7. 7/6 is more consonant than 12/7. |
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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 | '''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}} | ||
Revision as of 09:03, 17 December 2025
| Chord information |
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 perfect fourth rather than the 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 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.