Orwell tetrad - Revision history

FloraC: Fixes

2025-01-01T13:45:00Z

Fixes

← Older revision		Revision as of 13:45, 1 January 2025
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	The '''orwell tetrad''' is a [[tetrad\|four-note chord]] which in close position (reduced to the octave) consists of a chain of three [[subminor]] thirds, thirds of approximately [[7/6]] in size, and a major third, of approximately [[5/4]] in size, which closes at the [[octave]] since the orwell comma, [[1728/1715]], is [[tempered out]]; in other words, a 7/6-7/6-7/6-5/4 chord. This chord contains two ~~5ths~~ that are flattened by [[36/35]], which is about a [[quartertone]]. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include {{EDOs\|22, 26, 27, 31, 53, 58, 80, 84, 111 and 137}}.		The '''orwell tetrad''' is a [[tetrad\|four-note chord]] which in close position (reduced to the octave) consists of a chain of three [[subminor]] thirds, thirds of approximately [[7/6]] in size, and a major third, of approximately [[5/4]] in size, which closes at the [[octave]] since the orwell comma, [[1728/1715]], is [[tempered out]]; in other words, a 7/6-7/6-7/6-5/4 chord. This chord contains two fifths that are flattened by [[36/35]], which is about a [[quartertone]]. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include {{EDOs\| 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137 }}.

	[[File:OrwellTetrad22edo.mp3]]		[[File:OrwellTetrad22edo.mp3]]
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	Orwell tetrad, in [[22edo]] tuning		Orwell tetrad, in [[22edo]] tuning

	The orwell tetrad can in a natural way be extended to the [[11-limit]] as ~~1-7~~/~~6-11~~/~~8-8~~/5 by tempering out [[99/98]], a comma of 11-limit [[orwell]]. With a bit more accuracy, tempering out [[176/175]] and so also [[540/539]] allows it to be seen as the [[Orwellismic family#Guanyin\|guanyin]] tetrad, a tempered version of ~~1-7~~/~~6-15~~/~~11-8~~/5. Equal temperaments with guanyin tetrads include {{~~EDIs~~\|22, 31, 53, 58, 80 and 111}}. In orwell temperament, where [[121/120]] is tempered out, the guanyin and orwell tetrads are the same.		The orwell tetrad can in a natural way be extended to the [[11-limit]] as 1–7/6–11/8–8/5 by tempering out [[99/98]], a comma of 11-limit [[orwell]]. With a bit more accuracy, tempering out [[176/175]] and so also [[540/539]] allows it to be seen as the [[Orwellismic family #Guanyin\|guanyin]] tetrad, a tempered version of 1–7/6–15/11–8/5. Equal temperaments with guanyin tetrads include {{EDOs\| 22, 31, 53, 58, 80 and 111 }}. In orwell temperament, where [[121/120]] is tempered out, the guanyin and orwell tetrads are the same.

	The tetrad can be extended to a [[15-odd~~-limit\|15~~-limit]] ~~nonad~~, the orwell-tempered version of ~~1-11~~/~~10-7~~/~~6-9~~/~~7-11~~/~~8-3~~/~~2-8~~/~~5-7~~/~~4-15~~/8, with steps of size 11/10-15/14-11/10-15/14-11/10-15/14-11/10-15/14-15/14. The orwell ~~nonad~~ is the same as the Orwell[9] ~~MOS~~, considered as a chord. Since it can be considered to be a chord, it is possible to retune music from [[12edo]] to Orwell[9] by using the [[orwell9-12]] scale. Examples of music retuned in this way are given below:		The tetrad can be extended to a [[15-odd-limit]] ennead, the orwell-tempered version of
			* 1–11/10–7/6–9/7–11/8–3/2–8/5–7/4–15/8, with steps of size 11/10, 15/14, 11/10, 15/14, 11/10, 15/14, 11/10, 15/14, 15/14.

			The orwell ennead is the same as the Orwell[9] [[mos]], considered as a chord. Since it can be considered to be a chord, it is possible to retune music from [[12edo]] to Orwell[9] by using the [[orwell9-12]] scale. Examples of music retuned in this way are given below:

	== Sound examples ==		== Sound examples ==
			* [https://web.archive.org/web/20201127013259/http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/k404-orwell9.mp3 Scarlatti K404]
	* [http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/k404-orwell9.mp3 Scarlatti K404]		* [https://web.archive.org/web/20201127013106/http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/reger135b-fantasie-orwell9.mp3 Reger Fantasie op135b]
	* [http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/reger135b-fantasie-orwell9.mp3 Reger Fantasie op135b]		* [https://web.archive.org/web/20201127012607/http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/swing-orwell9.mp3 Swing, Swing, Swing]
	* [http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/swing-orwell9.mp3 Swing, Swing, Swing]

	== See also ==		== See also ==

	* [[Chords of orwell]]		* [[Chords of orwell]]

	[[Category:11-limit]]		[[Category:11-odd-limit chords]]
	[[Category:15-odd-limit]]		[[Category:15-odd-limit chords]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:Guanyin]]		[[Category:Guanyin]]

BudjarnLambeth: Links

2024-12-24T05:57:43Z

Links

← Older revision		Revision as of 05:57, 24 December 2024
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	The '''orwell tetrad''' is a four-note chord which in close position (reduced to the octave) consists of a chain of three subminor thirds, thirds of approximately [[7/6]] in size, and a major third, of approximately [[5/4]] in size, which closes at the octave since the orwell comma, [[1728/1715]], is tempered out; in other words, a 7/6-7/6-7/6-5/4 chord. This chord contains two 5ths that are flattened by [[36/35]], which is about a quartertone. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137.		The '''orwell tetrad''' is a [[tetrad\|four-note chord]] which in close position (reduced to the octave) consists of a chain of three [[subminor]] thirds, thirds of approximately [[7/6]] in size, and a major third, of approximately [[5/4]] in size, which closes at the [[octave]] since the orwell comma, [[1728/1715]], is [[tempered out]]; in other words, a 7/6-7/6-7/6-5/4 chord. This chord contains two 5ths that are flattened by [[36/35]], which is about a [[quartertone]]. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include {{EDOs\|22, 26, 27, 31, 53, 58, 80, 84, 111 and 137}}.

	[[File:OrwellTetrad22edo.mp3]]		[[File:OrwellTetrad22edo.mp3]]
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	Orwell tetrad, in [[22edo]] tuning		Orwell tetrad, in [[22edo]] tuning

	The orwell tetrad can in a natural way be extended to the [[11-limit]] as 1-7/6-11/8-8/5 by tempering out 99/98, a comma of 11-limit [[orwell]]. With a bit more accuracy, tempering out 176/175 and so also 540/539 allows it to be seen as the [[Orwellismic family#Guanyin\|guanyin]] tetrad, a tempered version of 1-7/6-15/11-8/5. Equal temperaments with guanyin tetrads include 22, 31, 53, 58, 80 and 111. In orwell temperament, where 121/120 is tempered out, the guanyin and orwell tetrads are the same.		The orwell tetrad can in a natural way be extended to the [[11-limit]] as 1-7/6-11/8-8/5 by tempering out [[99/98]], a comma of 11-limit [[orwell]]. With a bit more accuracy, tempering out [[176/175]] and so also [[540/539]] allows it to be seen as the [[Orwellismic family#Guanyin\|guanyin]] tetrad, a tempered version of 1-7/6-15/11-8/5. Equal temperaments with guanyin tetrads include {{EDIs\|22, 31, 53, 58, 80 and 111}}. In orwell temperament, where [[121/120]] is tempered out, the guanyin and orwell tetrads are the same.

	The tetrad can be extended to a 15-limit nonad, the orwell-tempered version of 1-11/10-7/6-9/7-11/8-3/2-8/5-7/4-15/8, with steps of size 11/10-15/14-11/10-15/14-11/10-15/14-11/10-15/14-15/14. The orwell nonad is the same as the Orwell[9] MOS, considered as a chord. Since it can be considered to be a chord, it is possible to retune music from 12edo to Orwell[9] by using the [[orwell9-12]] scale. Examples of music retuned in this way are given below:		The tetrad can be extended to a [[15-odd-limit\|15-limit]] nonad, the orwell-tempered version of 1-11/10-7/6-9/7-11/8-3/2-8/5-7/4-15/8, with steps of size 11/10-15/14-11/10-15/14-11/10-15/14-11/10-15/14-15/14. The orwell nonad is the same as the Orwell[9] MOS, considered as a chord. Since it can be considered to be a chord, it is possible to retune music from [[12edo]] to Orwell[9] by using the [[orwell9-12]] scale. Examples of music retuned in this way are given below:

	== Sound examples ==		== Sound examples ==

TallKite at 07:43, 13 August 2023

2023-08-13T07:43:46Z

← Older revision		Revision as of 07:43, 13 August 2023
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	The '''orwell tetrad''' is a four-note chord which in close position (reduced to the octave) consists of a chain of three subminor thirds, thirds of approximately [[7/6]] in size, and a major third, of approximately [[5/4]] in size, which closes at the octave since the orwell comma, [[1728/1715]], is tempered out; in other words, a 7/6-7/6-7/6-5/4 chord. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137.		The '''orwell tetrad''' is a four-note chord which in close position (reduced to the octave) consists of a chain of three subminor thirds, thirds of approximately [[7/6]] in size, and a major third, of approximately [[5/4]] in size, which closes at the octave since the orwell comma, [[1728/1715]], is tempered out; in other words, a 7/6-7/6-7/6-5/4 chord. This chord contains two 5ths that are flattened by [[36/35]], which is about a quartertone. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137.

	[[File:OrwellTetrad22edo.mp3]]		[[File:OrwellTetrad22edo.mp3]]

FloraC: Recategorize

2023-05-23T11:57:14Z

Recategorize

← Older revision		Revision as of 11:57, 23 May 2023
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	[[Category:Guanyin]]		[[Category:Guanyin]]
	[[Category:Orwell]]		[[Category:Orwell]]
	[[Category:~~Tetrad~~]]		[[Category:Tetrads]]
	[[Category:Listen]]		[[Category:Listen]]

FloraC: Recategorize

2023-04-28T07:25:22Z

Recategorize

← Older revision		Revision as of 07:25, 28 April 2023
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	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:15-odd-limit]]		[[Category:15-odd-limit]]
	[[Category:~~Dyadic~~]]		[[Category:Essentially tempered chords]]
	[[Category:Guanyin]]		[[Category:Guanyin]]
	[[Category:Orwell]]		[[Category:Orwell]]
	[[Category:Tetrad]]		[[Category:Tetrad]]
	~~[[Category:Essentially tempered chords]]~~
	[[Category:Listen]]		[[Category:Listen]]

Fredg999 category edits: Moving from Category:15-limit to Category:15-odd-limit using Cat-a-lot

2023-04-20T02:43:29Z

Moving from Category:15-limit to Category:15-odd-limit using Cat-a-lot

← Older revision		Revision as of 02:43, 20 April 2023
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	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:15-limit]]		[[Category:15-odd-limit]]
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Guanyin]]		[[Category:Guanyin]]

Xenwolf: +cat

2021-05-20T07:17:35Z

+cat

← Older revision		Revision as of 07:17, 20 May 2021
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	[[Category:Orwell]]		[[Category:Orwell]]
	[[Category:Tetrad]]		[[Category:Tetrad]]
			[[Category:Essentially tempered chords]]
	[[Category:Listen]]		[[Category:Listen]]

Xenwolf: more pages link to the (still not existing) ratio instead to the name

2020-12-29T14:26:10Z

more pages link to the (still not existing) ratio instead to the name

← Older revision		Revision as of 14:26, 29 December 2020
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	The '''orwell tetrad''' is a four-note chord which in close position (reduced to the octave) consists of a chain of three subminor thirds, thirds of approximately [[7/6]] in size, and a major third, of approximately [[5/4]] in size, which closes at the octave since the [[orwell comma]], 1728/1715, is tempered out; in other words, a 7/6-7/6-7/6-5/4 chord. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137.		The '''orwell tetrad''' is a four-note chord which in close position (reduced to the octave) consists of a chain of three subminor thirds, thirds of approximately [[7/6]] in size, and a major third, of approximately [[5/4]] in size, which closes at the octave since the orwell comma, [[1728/1715]], is tempered out; in other words, a 7/6-7/6-7/6-5/4 chord. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137.

	[[File:OrwellTetrad22edo.mp3]]		[[File:OrwellTetrad22edo.mp3]]

Xenwolf: +cat

2020-06-13T16:46:42Z

+cat

← Older revision		Revision as of 16:46, 13 June 2020
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	[[Category:Orwell]]		[[Category:Orwell]]
	[[Category:Tetrad]]		[[Category:Tetrad]]
			[[Category:Listen]]

Xenwolf: simplified wiki markup, cats, sections

2020-06-13T16:44:04Z

simplified wiki markup, cats, sections

← Older revision		Revision as of 16:44, 13 June 2020
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	The orwell tetrad can in a natural way be extended to the [[11-limit]] as 1-7/6-11/8-8/5 by tempering out 99/98, a comma of 11-limit [[orwell]]. With a bit more accuracy, tempering out 176/175 and so also 540/539 allows it to be seen as the [[Orwellismic family#Guanyin\|guanyin]] tetrad, a tempered version of 1-7/6-15/11-8/5. Equal temperaments with guanyin tetrads include 22, 31, 53, 58, 80 and 111. In orwell temperament, where 121/120 is tempered out, the guanyin and orwell tetrads are the same.		The orwell tetrad can in a natural way be extended to the [[11-limit]] as 1-7/6-11/8-8/5 by tempering out 99/98, a comma of 11-limit [[orwell]]. With a bit more accuracy, tempering out 176/175 and so also 540/539 allows it to be seen as the [[Orwellismic family#Guanyin\|guanyin]] tetrad, a tempered version of 1-7/6-15/11-8/5. Equal temperaments with guanyin tetrads include 22, 31, 53, 58, 80 and 111. In orwell temperament, where 121/120 is tempered out, the guanyin and orwell tetrads are the same.

	The tetrad can be extended to a 15-limit nonad, the orwell-tempered version of 1-11/10-7/6-9/7-11/8-3/2-8/5-7/4-15/8, with steps of size 11/10-15/14-11/10-15/14-11/10-15/14-11/10-15/14-15/14. The orwell nonad is the same as the Orwell[9] MOS, considered as a chord. Since it can be considered to be a chord, it is possible to retune music from 12edo to Orwell[9] by using [[orwell9-12~~\|this scale~~]]. Examples of music retuned in this way are given below:		The tetrad can be extended to a 15-limit nonad, the orwell-tempered version of 1-11/10-7/6-9/7-11/8-3/2-8/5-7/4-15/8, with steps of size 11/10-15/14-11/10-15/14-11/10-15/14-11/10-15/14-15/14. The orwell nonad is the same as the Orwell[9] MOS, considered as a chord. Since it can be considered to be a chord, it is possible to retune music from 12edo to Orwell[9] by using the [[orwell9-12]] scale. Examples of music retuned in this way are given below:

	==~~sound~~ examples ==		== Sound examples ==
	~~[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/k404-orwell9.mp3 Scarlatti K404]~~

	[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/reger135b-fantasie-orwell9.mp3 Reger Fantasie op135b]		* [http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/k404-orwell9.mp3 Scarlatti K404]
			* [http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/reger135b-fantasie-orwell9.mp3 Reger Fantasie op135b]
			* [http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/swing-orwell9.mp3 Swing, Swing, Swing]

	~~[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/swing-orwell9.mp3 Swing, Swing, Swing]~~		== See also ==

	~~== See also ==~~		* [[Chords of orwell]]
	~~<ul><li>~~[[Chords of orwell]]~~</li></ul>~~ [[Category:11-limit]]
			[[Category:11-limit]]
	[[Category:15-limit]]		[[Category:15-limit]]
	~~[[Category:Chords]]~~
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Guanyin]]		[[Category:Guanyin]]
	[[Category:Orwell]]		[[Category:Orwell]]
	[[Category:Tetrad]]		[[Category:Tetrad]]
	~~[[Category:Todo:add links]]~~
	~~[[Category:Todo:add sound examples]]~~