6:7:8: Difference between revisions

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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 4:7:12 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}}