Marveltwin chords: Difference between revisions

Expansion
Expansion
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One marveltwin triad consists of a stack of two [[6/5]] minor thirds followed by an [[18/13]], that is,  
One marveltwin triad consists of a stack of two [[6/5]] minor thirds followed by an [[18/13]], that is,  
* 1-6/5-[[13/9]], with steps 6/5-6/5-18/13,  
* 1-6/5-[[13/9]] with steps 6/5-6/5-18/13,  


It makes for an instructive comparison with the septimal diminished triad, 1-6/5-[[10/7]] in [[starling]], and might also be called a tridecimal diminished triad.  
It makes for an instructive comparison with the septimal diminished triad, 1-6/5-[[10/7]] in [[starling]], and might also be called a tridecimal diminished triad.  


Another triad consists of a stack of two [[10/9]] whole tones followed by a [[16/13]], that is,  
Another triad consists of a stack of two [[10/9]] whole tones followed by a [[16/13]], that is,  
* 1-10/9-16/13, with steps 10/9-10/9-[[13/8]],  
* 1-10/9-16/13 with steps 10/9-10/9-[[13/8]],  


as well as one built by
as well as those built by
* 1-[[5/4]]-18/13, with steps 5/4-10/9-13/9, and its inverse
* 1-[[5/4]]-18/13 with steps 5/4-10/9-13/9, and its inverse
* 1-10/9-18/13, with steps 10/9-5/4-13/9.  
* 1-10/9-18/13 with steps 10/9-5/4-13/9.
* 1-[[5/3]]-[[24/13]], with steps 5/3-10/9-[[13/12]], and its inverse
* 1-10/9-24/13 with steps 10/9-5/3-13/12.  


Each of these has multiple ways to extend to tetrads. For example,  
Each of these has multiple ways to extend to tetrads, such as using the [[3/2|perfect fifth]] as an anchor:
* 1-[[3/2]]-[[5/3]]-[[24/13]] with steps 3/2-10/9-10/9-[[13/12]], and its inverse
* 1-5/4-18/13-[[3/2]] with steps 5/4-10/9-13/12-[[4/3]], and its inverse
* 1-13/12-6/5-3/2 with steps 13/12-10/9-5/4-4/3.
* 1-3/2-5/3-24/13 with steps 3/2-10/9-10/9-13/12, and its inverse
* 1-3/2-13/8-9/5 with steps 3/2-13/12-10/9-10/9.  
* 1-3/2-13/8-9/5 with steps 3/2-13/12-10/9-10/9.