Xenismic chords: Difference between revisions

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'''Xenismic chords''' are [[essentially tempered dyadic chord]]s tempered by the xenisma, [[2058/2057]].  
'''Xenismic chords''' are [[essentially tempered dyadic chord]]s tempered by the xenisma, [[2058/2057]].  


There are three xenismic triads in the 2.3.7.11.17 [[subgroup]] [[21-odd-limit]], including a palindrome since it identifies [[34/21]] by a stack of two [[14/11]]'s:  
Xenismic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 1a]] in the 2.3.7.11.17 [[subgroup]] [[21-odd-limit]], meaning that there are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures. In this article, voicing with the [[3/2|perfect fifth]] is prioritized.
 
There are three xenismic triads, including a palindrome since it identifies [[34/21]] by a stack of two [[14/11]]'s:  
* 1-21/17-11/7 with steps 21/17-14/11-14/11.  
* 1-21/17-11/7 with steps 21/17-14/11-14/11.  


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* 1-17/14-17/11-21/11 with steps 17/14-14/11-21/17-22/21;  
* 1-17/14-17/11-21/11 with steps 17/14-14/11-21/17-22/21;  


Then there are two inversely related pentads:  
Then there is an inversely related pair of pentads:  
* 1-21/17-3/2-11/7-21/11 with steps 21/17-17/14-22/21-17/14-22/21, and its inverse
* 1-21/17-3/2-11/7-21/11 with steps 21/17-17/14-22/21-17/14-22/21, and its inverse
* 1-17/14-3/2-11/7-21/11 with steps 17/14-21/17-22/21-17/14-22/21.  
* 1-17/14-3/2-11/7-21/11 with steps 17/14-21/17-22/21-17/14-22/21.