Didymus chords: Difference between revisions

m FloraC moved page Didymic chords to Didymus chords: Compare archytas chords
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A '''didymic chord''' is an [[essentially tempered chord]] of 5-limit [[meantone]]. The basic form of a didymic chord is the palindromic meantone sus2/6 tetrad:  
A '''didymus chord''' is an [[essentially tempered chord]] of 5-limit [[meantone]]. The basic form of a didymus chord is the palindromic meantone sus2/6 tetrad:  


* 1–9/8–3/2–5/3 with steps of 9/8, 4/3, 9/8, 6/5.
* 1–9/8–3/2–5/3 with steps of 9/8, 4/3, 9/8, 6/5.
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Built on C, it is C–D–E–G–A.
Built on C, it is C–D–E–G–A.


There is also a didymic tetrad involving [[prime interval|prime]] [[7/1|7]]:  
There is also a didymus tetrad involving [[prime interval|prime]] [[7/1|7]]:  
* 1–9/8–9/7–10/7 with steps 9/8, 8/7, 9/8, 7/5.  
* 1–9/8–9/7–10/7 with steps 9/8, 8/7, 9/8, 7/5.  


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== Septimal meantone chords ==
== Septimal meantone chords ==
Since [[81/80]] is tempered out, didymic chords are septimal meantone chords. Since [[126/125]] and [[225/224]] are tempered out, [[starling chords|starling]] and [[marvel chords]] are also septimal meantone chords. There are also septimal meantone chords which are none of these, the essentially '''septimal meantone chords'''.  
Since [[81/80]] is tempered out, didymus chords are septimal meantone chords. Since [[126/125]] and [[225/224]] are tempered out, [[starling chords|starling]] and [[marvel chords]] are also septimal meantone chords. There are also septimal meantone chords which are none of these, the essentially '''septimal meantone chords'''.  


The basic form of these chords are pentads, with a unique palindromic chord and a pair 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: