Xenismic chords - Revision history

Xenllium at 11:30, 22 November 2023

2023-11-22T11:30:59Z

← Older revision		Revision as of 11:30, 22 November 2023
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	'''Xenismic chords''' are [[essentially tempered ~~dyadic chord~~]]s tempered by the xenisma, [[2058/2057]].		'''Xenismic chords''' are [[dyadic chord\|essentially tempered chords]] 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.		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:		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 of 21/17-14/11-14/11.

	And an inversely related pair:		And an inversely related pair:
	* 1-11/7-21/11 with steps 11/7-17/14-22/21, and its inverse		* 1-11/7-21/11 with steps of 11/7-17/14-22/21, and its inverse
	* 1-17/14-21/11 with steps 17/14-11/7-22/21.		* 1-17/14-21/11 with steps of 17/14-11/7-22/21.

	They can be extended to the following palindromic tetrads:		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;		* 1-3/2-11/7-21/11 with steps of 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.		* 1-17/14-11/7-21/11 with steps of 17/14-22/17-17/14-22/21.

	And inversely related tetrads:		And inversely related tetrads:
	* 1-21/17-3/2-11/7 with steps 21/17-17/14-22/21-14/11, and its inverse		* 1-21/17-3/2-11/7 with steps of 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.		* 1-17/14-3/2-21/11 with steps of 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		* 1-21/17-11/7-21/11 with steps of 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;		* 1-17/14-17/11-21/11 with steps of 17/14-14/11-21/17-22/21.

	Then there is an inversely related pair of 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 of 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 of 17/14-21/17-22/21-17/14-22/21.

			Equal temperaments with xenismic chords include {{Optimal ET sequence\|46, 58, 63, 72, 89, 104, 118, 135, 193, 207, 253, 342, 400, 446, 535, 607 and 742}}.

	[[Category:21-odd-limit]]		[[Category:21-odd-limit]]

FloraC: +pattern of chords

2023-07-26T15:47:22Z

+pattern of chords

← Older revision		Revision as of 15:47, 26 July 2023
Line 1:		Line 1:
	'''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.

Line 18:		Line 20:
	* 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.

FloraC: Recategorize

2023-05-23T11:48:04Z

Recategorize

← Older revision		Revision as of 11:48, 23 May 2023
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	[[Category:21-odd-limit]]		[[Category:21-odd-limit]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:~~Triad~~]]		[[Category:Triads]]
	[[Category:~~Tetrad~~]]		[[Category:Tetrads]]
	[[Category:~~Pentad~~]]		[[Category:Pentads]]
	[[Category:Xenismic]]		[[Category:Xenismic]]

FloraC: +categories

2023-04-28T15:10:51Z

+categories

← Older revision		Revision as of 15:10, 28 April 2023
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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 ~~palindromic one~~ since it identifies [[34/21]] by a stack of two [[14/11]]'s:		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.

Line 24:		Line 24:
	[[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]]

FloraC at 13:38, 8 March 2023

2023-03-08T13:38:10Z

← Older revision		Revision as of 13:38, 8 March 2023
Line 2:		Line 2:

	There are three xenismic triads in the 2.3.7.11.17 subgroup 21-odd-limit, including a palindromic one since it identifies [[34/21]] by a stack of two [[14/11]]'s:		There are three xenismic triads in the 2.3.7.11.17 subgroup 21-odd-limit, including a palindromic one 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.

	And an inversely related pair:		And an inversely related pair:

FloraC: Created page with "'''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-l..."

2023-03-08T13:29:19Z

Created page with "'''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-l..."

New page

'''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 palindromic one 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.

[[Category:21-odd-limit]]
[[Category:Essentially tempered chords]]
[[Category:Xenismic]]