French sixth chord: Difference between revisions
→In temperaments: clarify conventional / septimal meantone distinction; refer to starling instead of marvel for the general essentially-tempered chord (marvel doesn't get that close!) |
mention both marvel and starling, since they temper the 7-limit chord to different 5-limit interpretations of the meantone chord |
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* ([[Septimal meantone chords|Septimal meantone]]) 1 – 5/4 – 7/5 – 7/4 | * ([[Septimal meantone chords|Septimal meantone]]) 1 – 5/4 – 7/5 – 7/4 | ||
or [[20:25:28:35]] (step sizes 5/4, 28/25, and 5/4). Since the [[28/25]] interval in this chord also represents [[10/9]] | or [[20:25:28:35]] (step sizes 5/4, 28/25, and 5/4). Since the [[28/25]] interval in this chord also represents [[9/8]] in septimal meantone and [[marvel]], and [[10/9]] in septimal meantone and [[starling]], this chord is an [[essentially tempered chord]] in those temperaments in the [[9-odd-limit]]. | ||
<!-- Note: The close approximation of the 7-limit chord is specific to quarter-comma meantone. Many other meantones, such as 12edo and 19edo, do not approximate it nearly as closely, although they may nonetheless support the septimal meantone interpretation that unifies it with the French sixth. --> | |||
<!-- Note: The close approximation of the 7-limit chord in meantone is specific to quarter-comma meantone. Many other meantones, such as 12edo and 19edo, do not approximate it nearly as closely, although they may nonetheless support the septimal meantone interpretation that unifies it with the French sixth. --> | |||
== In just intonation == | == In just intonation == | ||