6:7:9: Difference between revisions

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'''6:7:9''', a ''subminor triad'' or ''septimal minor triad'', is a triad in the [[7-limit]] sometimes used in place of a [[minor triad]].

'''6:7:9''', a ''subminor triad'' or ''septimal minor triad'', is a triad in the [[7-limit]] sometimes used in place of a [[minor triad]]. It appears as a minor triad in the [[5L 2s|diatonic scale]] of [[superpyth]], as [[64/63]] being tempered out means [[32/27]] is equated with [[7/6]]. This is in contrast to [[meantone]], where 32/27 is equated with [[6/5]].

6:7:9 is the second-simplest [[otonal]] triad of the form Root-3rd-P5, past [[4:5:6]], and is thus very [[consonant]]. However, its inverse, [[14:18:21]], may sound less stable due to its higher otonal complexity. In addition, the [[7/6]] and [[9/7]] intervals differ by [[54/49]], an interval of 168 [[cent]]s, which means the subminor and supermajor triads don't contrast very well the same way 5-limit triads do. Nonetheless, these triads may be used in progressions together with the 5-limit ones.

== See also ==

* [[14:18:21]] - the supermajor triad

* [[6:7:9:10]] - adds [[5/3]]

{{Todo|research|inline=1|text=This chord may be closely connected to 7-limit interpretations of the Blues scale.}}

[[Category:Minor triads|#]]

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 {{Infobox Chord|ColorName=zo or z}}
-'''6:7:9''', a ''subminor triad'' or ''septimal minor triad'', is a triad in the [[7-limit]] sometimes used in place of a [[minor triad]].
+'''6:7:9''', a ''subminor triad'' or ''septimal minor triad'', is a triad in the [[7-limit]] sometimes used in place of a [[minor triad]]. It appears as a minor triad in the [[5L 2s|diatonic scale]] of [[superpyth]], as [[64/63]] being tempered out means [[32/27]] is equated with [[7/6]]. This is in contrast to [[meantone]], where 32/27 is equated with [[6/5]].
-{{stub}}
+:7:9 is the second-simplest [[otonal]] triad of the form Root-3rd-P5, past [[4:5:6]], and is thus very [[consonant]]. However, its inverse, [[14:18:21]], may sound less stable due to its higher otonal complexity. In addition, the [[7/6]] and [[9/7]] intervals differ by [[54/49]], an interval of 168 [[cent]]s, which means the subminor and supermajor triads don't contrast very well the same way 5-limit triads do. Nonetheless, these triads may be used in progressions together with the 5-limit ones.
+== See also ==
+* [[14:18:21]] - the supermajor triad
+* [[6:7:9:10]] - adds [[5/3]]
+{{Todo|expand}}
 {{Todo|research|inline=1|text=This chord may be closely connected to 7-limit interpretations of the Blues scale.}}
 [[Category:Minor triads|#]] <!-- 1-digit first number -->