Dominant seventh chord: Difference between revisions

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In JI: Rephrased to emphasize why 225/128 may be considered a seventh.
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m add interval links in meantone section; typeset meantone chord intervals with spaces for legibility
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In [[meantone]] (including [[12edo]]), on which traditional tonal harmony is built, the dominant seventh chord is a [[9-odd-limit]] [[essentially tempered chord]]:  
In [[meantone]] (including [[12edo]]), on which traditional tonal harmony is built, the dominant seventh chord is a [[9-odd-limit]] [[essentially tempered chord]]:  
* (Meantone) 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 third and seventh is ~10/7. Therefore, every interval of this chord is within the 9-odd-limit tonality diamond.  
Note the ~9/5 is simultaneously ~[[16/9]], and the interval between the third and seventh is ~[[10/7]]. Therefore, every interval of this chord is within the 9-odd-limit tonality diamond.  


== In JI ==
== In JI ==