Marveltwin chords: Difference between revisions

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There are 6 triads, 18 tetrads, 14 pentads and 3 hexads as 2.3.5.13 subgroup [[13-odd-limit]] essentially tempered chords.
There are 6 triads, 18 tetrads, 14 pentads and 3 hexads as 2.3.5.13 subgroup [[13-odd-limit]] essentially tempered chords.


One marveltwin triad consists of a stack of two [[6/5]] minor thirds followed by [[18/13]], that is,  
One marveltwin triad is a palindrome since it identifies [[13/9]] by a stack of two [[6/5]] minor thirds, that is,  
* 1–6/5–[[13/9]] with steps of 6/5, 6/5, 18/13.
* 1–6/5–13/9 with steps of 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 palindromic triad consists of [[16/13]] found as a stack of two [[10/9]] whole tones, that is,  
* 1–10/9–16/13 with steps of 10/9, 10/9, [[13/8]],
* 1–10/9–16/13 with steps of 10/9, 10/9, [[13/8]].


as well as those built by  
We also have those built by  
* 1–[[5/4]]–18/13 with steps of 5/4, 10/9, 13/9, and its inverse  
* 1–[[5/4]]–18/13 with steps of 5/4, 10/9, 13/9, and its inverse  
* 1–10/9–18/13 with steps of 10/9, 5/4, 13/9;
* 1–10/9–18/13 with steps of 10/9, 5/4, 13/9;