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 | 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: | ||
* 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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[[Category:21-odd-limit]] | [[Category:21-odd-limit]] | ||
[[Category:Essentially tempered chords]] | [[Category:Essentially tempered chords]] | ||
[[Category:Triad]] | |||
[[Category:Tetrad]] | |||
[[Category:Pentad]] | |||
[[Category:Xenismic]] | [[Category:Xenismic]] | ||
Revision as of 15:10, 28 April 2023
Xenismic chords are essentially tempered dyadic chords 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:
- 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 are two inversely related 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.