Didymic chords: Difference between revisions

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Rewriting some of my additions
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* 1-9/8-3/2-5/3, with steps 9/8-4/3-9/8-6/5
* 1-9/8-3/2-5/3, with steps 9/8-4/3-9/8-6/5


Every interval is an element of the [[9-odd-limit]]. In diatonic, it can be notated as C-D-G-A when built on C. The tempered essence explains why the common chord progression vi-ii-V-I does not work outside meantone unless one accepts a [[27/16]] major sixth, or a [[27/20]] acute fourth, with a [[40/27]] grave fifth and an [[81/64]] major third being additional possibilities for the intervals that appear within chords.
Every interval is an element of the [[9-odd-limit]]. In diatonic, it can be notated as C-D-G-A when built on C. The tempered essence explains why the common chord progression vi-ii-V-I does not work outside meantone unless one accepts at least either a [[27/16]] major sixth, or a [[27/20]] acute fourth, with additional options, such as a [[40/27]] grave fifth and an [[81/64]] major third being useful in such environments as well.


The chord can be extended to a pentad known as the meantone add2/6 pentad:  
The chord can be extended to a pentad known as the meantone add2/6 pentad: