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]]. | ||
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 | 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. | ||
Revision as of 15:47, 26 July 2023
Xenismic chords are essentially tempered dyadic chords tempered by the xenisma, 2058/2057.
Xenismic chords are of 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 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.
And an inversely related pair:
- 1-11/7-21/11 with steps 11/7-17/14-22/21, and its inverse
- 1-17/14-21/11 with steps 17/14-11/7-22/21.
They can be extended to the following palindromic tetrads:
- 1-3/2-11/7-21/11 with steps 3/2-22/21-17/14-22/21;
- 1-17/14-11/7-21/11 with steps 17/14-22/17-17/14-22/21.
And inversely related tetrads:
- 1-21/17-3/2-11/7 with steps 21/17-17/14-22/21-14/11, and its inverse
- 1-17/14-3/2-21/11 with steps 17/14-21/17-14/11-22/21.
- 1-21/17-11/7-21/11 with steps 21/17-14/11-17/14-22/21, and its inverse
- 1-17/14-17/11-21/11 with steps 17/14-14/11-21/17-22/21;
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
- 1-17/14-3/2-11/7-21/11 with steps 17/14-21/17-22/21-17/14-22/21.