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→Septimal meantone chords: improve readability. Note the dominant seventh chord doesn't really require septimal meantone. Review the rest and leave only those that require septimal meantone
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Both chords are palindromic.
Both chords are palindromic.


== Septimal meantone chords ==
== Dominant seventh chord ==
The dominant seventh chord is an essentially tempered chord in septimal meantone:  
In septimal meantone, the [[dominant seventh chord]] is an essentially tempered chord:  
* 1-5/4-3/2-9/5 with steps of 5/4-6/5-6/5-9/8.
* 1–5/4–3/2–9/5 with steps 5/4, 6/5, 6/5, 9/8.


Built on G, it is G-B-D-F.
Built on G, it is G–B–D–F. Note that septimal meantone is not required to make it a 9-odd-limit concord. Either [[starling]] or [[marvel]] can be used, depending on what interval the top note is interpreted as, though both are required for it to represent 16/9~9/5.  


Its inversion is the half-diminished chord:  
Its inversion is the half-diminished chord:  
* 1-6/5-10/7-9/5 with steps of 6/5-6/5-5/4-9/8.
* 1–6/5–10/7–9/5 with steps 6/5, 6/5, 5/4, 9/8.


Built on B, it is B-D-F-A.
Built on B, it is B–D–F–A.


Other tetrads of septimal meantone are
== Septimal meantone chords ==
* 1-9/8-5/4-7/5 with steps of 9/8-9/8-9/8-10/7;
Since [[81/80]] is tempered out, didymic chords are septimal meantone chords. Since [[126/125]] is tempered out, [[starling chords]] are septimal meantone chords. Since [[225/224]] is tempered out, [[marvel chords]] are septimal meantone chords. There are also septimal meantone chords which are none of these, the essentially '''septimal meantone chords'''.  
* 1-9/8-7/5-14/9 with steps of 9/8-5/4-9/8-9/7;
* 1-9/8-5/4-14/9 with steps of 9/8-9/8-5/4-9/7, and its inverse
* 1-5/4-7/5-14/9 with steps of 5/4-9/8-9/8-9/7.


They can be extended to the following pentads, with two palindromic chords and two pairs of chords in inverse relationship:  
The basic form of these chords are pentads, with a unique palindromic chord and a pair of chords in inverse relationship:  
* 1-9/8-5/4-3/2-9/5 with steps of 9/8-9/8-6/5-6/5-9/8;
* 1–9/8–5/4–7/5–14/9 with steps of 9/8, 9/8, 9/8, 9/8, 9/7;
* 1-9/8-5/4-7/5-14/9 with steps of 9/8-9/8-9/8-9/8-9/7;
* 1–9/8–5/4–14/9–7/4 with steps of 9/8, 9/8, 5/4, 9/8, 8/7, and its inverse
* 1-9/8-5/4-7/5-7/4 with steps of 9/8-9/8-9/8-5/4-8/7, and its inverse
* 1–9/8–7/5–14/9–7/4 with steps of 9/8, 5/4, 9/8, 9/8, 8/7.
* 1-5/4-7/5-14/9-7/4 with steps of 5/4-9/8-9/8-9/8-8/7;
* 1-9/8-5/4-14/9-7/4 with steps of 9/8-9/8-5/4-9/8-8/7, and its inverse
* 1-9/8-7/5-14/9-7/4 with steps of 9/8-5/4-9/8-9/8-8/7.


Finally, there are a palindromic hexad,  
Finally, there is a palindromic hexad,  
* 1-9/8-5/4-7/5-14/9-7/4 with steps of 9/8-9/8-9/8-9/8-9/8-8/7.
* 1–9/8–5/4–7/5–14/9–7/4 with steps of 9/8, 9/8, 9/8, 9/8, 9/8, 8/7.


== External links ==
== External links ==
Retrieved from "https://en.xen.wiki/w/Didymic_chords"