Dominant seventh chord: Difference between revisions
→In meantone: link to septimal meantone chords instead of didymic, to clarify that the chord is only “essentially tempered” in the septimal variant of meantone |
→In meantone: this is not a "true" septimal meantone chord |
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* (Meantone) 1/1 ‒ [[5/4]] ‒ [[3/2]] ‒ [[9/5]] with steps 5/4, 6/5, 6/5. | * (Meantone) 1/1 ‒ [[5/4]] ‒ [[3/2]] ‒ [[9/5]] with steps 5/4, 6/5, 6/5. | ||
Note the ~9/5 is simultaneously ~[[16/9]], and the interval between the ~5/4 and ~9/5 is | Note the ~9/5 is simultaneously ~[[16/9]], and the interval between the ~5/4 and ~9/5 is [[36/25]]~[[64/45]]. | ||
In [[septimal meantone]], which is well-represented by the historically prevalent [[quarter-comma meantone]], that [[36/25]]~[[64/45]] is tempered to ~[[10/7]], making the chord an [[essentially tempered chord]] in the [[9-odd-limit]]. (→ [[Didymic chords #Dominant seventh chord]]) | |||
== In just intonation == | == In just intonation == | ||