Marvel chords - Revision history

TallKite at 05:44, 24 September 2024

2024-09-24T05:44:42Z

← Older revision		Revision as of 05:44, 24 September 2024
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	* 1–9/8–5/4–7/5–8/5 with steps 9/8, 10/9, 9/8, 8/7, 5/4.		* 1–9/8–5/4–7/5–8/5 with steps 9/8, 10/9, 9/8, 8/7, 5/4.

	If we allow the [[15-odd-limit]], there are many more possibilities. One notable 15-odd-limit tetrad is 1–4/3–3/2–15/8 which has as its homonym 1–9/8–7/5–3/2.		If we allow the [[15-odd-limit]], there are many more possibilities. One notable 15-odd-limit tetrad is 1–4/3–3/2–15/8 which has as its [[Chord homonym\|homonym]] 1–9/8–7/5–3/2.

	Equal temperaments with marvel chords include {{EDOs\| 19, 22, 31, 41, 43, 50, 53, 72, 84, 94, 103, 166 and 197 }}.		Equal temperaments with marvel chords include {{EDOs\| 19, 22, 31, 41, 43, 50, 53, 72, 84, 94, 103, 166 and 197 }}.

FloraC: Recategorize

2024-08-24T10:25:55Z

Recategorize

← Older revision		Revision as of 10:25, 24 August 2024
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	* [[Undecimal marvel chords]]		* [[Undecimal marvel chords]]

	[[Category:9-odd-limit]]		[[Category:9-odd-limit chords]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:Triads]]		[[Category:Triads]]

FloraC: Readability

2024-08-24T09:15:17Z

Readability

← Older revision		Revision as of 09:15, 24 August 2024
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	'''Marvel chords''' are [[essentially tempered dyadic chord]]s tempered by the marvel comma, [[225/224]].		'''Marvel chords''' are [[essentially tempered dyadic chord]]s tempered by the marvel comma, [[225/224]].

	The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a ~~1-5~~/4-[[14/9]] chord.		The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4, 5/4, 9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1–5/4–[[14/9]] chord.

	The [[9-odd-limit]] marvel chords are of [[Dyadic chord/Pattern of essentially tempered chords\|pattern 1b]], 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.		The [[9-odd-limit]] marvel chords are of [[Dyadic chord/Pattern of essentially tempered chords\|pattern 1b]], 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.
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	The three 9-odd-limit marvel triads are		The three 9-odd-limit marvel triads are
	* The aforementioned marvel augmented triad;		* The aforementioned marvel augmented triad;
	* ~~1-5~~/~~4-7~~/5 with steps 5/4-[[9/8]]-[[10/7]], and its inverse		* 1–5/4–7/5 with steps 5/4, [[9/8]], [[10/7]], and its inverse
	* ~~1-9~~/~~8-7~~/5 with steps 9/8-5/4-10/7.		* 1–9/8–7/5 with steps 9/8, 5/4, 10/7.

	[[File:marvel.jpg\|alt=marvel.jpg\|thumb\|Marvel triad]]		[[File:marvel.jpg\|alt=marvel.jpg\|thumb\|Marvel triad]]

	The six 9-odd-limit marvel [[tetrad]]s are		The six 9-odd-limit marvel [[tetrad]]s are
	* ~~1-5~~/~~4-7~~/~~5-7~~/4 with steps 5/4-9/8-5/4-8/7;		* 1–5/4–7/5–7/4 with steps 5/4, 9/8, 5/4, 8/7;
	* ~~1-9~~/~~8-5~~/~~4-7~~/5 with steps 9/8-10/9-9/8-10/7;		* 1–9/8–5/4–7/5 with steps 9/8, 10/9, 9/8, 10/7;
	* ~~1-5~~/~~4-7~~/~~5-14~~/9 with steps 5/4-9/8-10/9-9/7, and its inverse		* 1–5/4–7/5–14/9 with steps 5/4, 9/8, 10/9, 9/7, and its inverse
	* ~~1-9~~/~~8-7~~/~~5-9~~/5 with steps 9/8-5/4-9/7-10/9;		* 1–9/8–7/5–9/5 with steps 9/8, 5/4, 9/7, 10/9;
	* ~~1-9~~/~~8-7~~/~~5-7~~/4 with steps 9/8-5/4-5/4-8/7, and its inverse		* 1–9/8–7/5–7/4 with steps 9/8, 5/4, 5/4, 8/7, and its inverse
	* ~~1-5~~/~~4-7~~/~~5-8~~/5 with steps 5/4-9/8-8/7-5/4.		* 1–5/4–7/5–8/5 with steps 5/4, 9/8, 8/7, 5/4.

	The last four tetrads contain the marvel augmented triad.		The last four tetrads contain the marvel augmented triad.

	The two 9-odd-limit marvel [[pentad]]s are:		The two 9-odd-limit marvel [[pentad]]s are:
	* ~~1-9~~/~~8-5~~/~~4-7~~/~~5-7~~/4 with steps 9/8-10/9-9/8-5/4-8/7, and its inverse		* 1–9/8–5/4–7/5–7/4 with steps 9/8, 10/9, 9/8, 5/4, 8/7, and its inverse
	* ~~1-9~~/~~8-5~~/~~4-7~~/~~5-8~~/5 with steps 9/8-10/9-9/8-8/7-5/4.		* 1–9/8–5/4–7/5–8/5 with steps 9/8, 10/9, 9/8, 8/7, 5/4.

	If we allow the [[15-odd-limit]], there are many more possibilities. One notable 15-odd-limit tetrad is ~~1-4~~/~~3-3~~/~~2-15~~/8 which has as its homonym ~~1-9~~/~~8-7~~/~~5-3~~/2.		If we allow the [[15-odd-limit]], there are many more possibilities. One notable 15-odd-limit tetrad is 1–4/3–3/2–15/8 which has as its homonym 1–9/8–7/5–3/2.

	Equal temperaments with marvel chords include {{EDOs\| 19, 22, 31, 41, 43, 50, 53, 72, 84, 94, 103, 166 and 197 }}.		Equal temperaments with marvel chords include {{EDOs\| 19, 22, 31, 41, 43, 50, 53, 72, 84, 94, 103, 166 and 197 }}.

	== See also ==		== See also ==
	* [[Battaglia chord]]		* [[Battaglia chord]] – a 15-odd-limit hexad
	* [[Undecimal marvel chords]]		* [[Undecimal marvel chords]]

FloraC: Rework to address its pattern

2023-07-27T04:29:03Z

Rework to address its pattern

← Older revision		Revision as of 04:29, 27 July 2023
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	'''Marvel chords''' are [[essentially tempered dyadic chord]]s tempered by the marvel comma, [[225/224]]. The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1-5/4-[[14/9]] chord.		'''Marvel chords''' are [[essentially tempered dyadic chord]]s tempered by the marvel comma, [[225/224]].

	~~There are three~~ [[9-~~odd~~-~~limit~~]] marvel ~~triads:~~		The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1-5/4-[[14/9]] chord.

			The [[9-odd-limit]] marvel chords are of [[Dyadic chord/Pattern of essentially tempered chords\|pattern 1b]], 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.

			The three 9-odd-limit marvel triads are
	* The aforementioned marvel augmented triad;		* The aforementioned marvel augmented triad;
	* 5/4-[[9/8]]-[[10/7]] and its ~~inversion, temperings of~~ 1-5/4-7/5 ~~and 1~~-5/4-16/9.		* 1-5/4-7/5 with steps 5/4-[[9/8]]-[[10/7]], and its inverse
			* 1-9/8-7/5 with steps 9/8-5/4-10/7.

	[[File:marvel.jpg\|alt=marvel.jpg\|thumb\|Marvel triad]]		[[File:marvel.jpg\|alt=marvel.jpg\|thumb\|Marvel triad]]

	~~There are~~ six 9-odd-limit marvel [[tetrad]]s:		The six 9-odd-limit marvel [[tetrad]]s are
			* 1-5/4-7/5-7/4 with steps 5/4-9/8-5/4-8/7;
			* 1-9/8-5/4-7/5 with steps 9/8-10/9-9/8-10/7;
			* 1-5/4-7/5-14/9 with steps 5/4-9/8-10/9-9/7, and its inverse
			* 1-9/8-7/5-9/5 with steps 9/8-5/4-9/7-10/9;
			* 1-9/8-7/5-7/4 with steps 9/8-5/4-5/4-8/7, and its inverse
			* 1-5/4-7/5-8/5 with steps 5/4-9/8-8/7-5/4.

	* 5/4-9/8-10/9-9/7 and its inversion, temperings of 1-5/4-7/5-14/9 and 1-5/4-8/5-[[16/9]];		The last four tetrads contain the marvel augmented triad.
	* 5/4-9/8-[[8/7]]-5/4 and its inversion, temperings of 1-9/8-7/5-7/4 and 1-5/4-7/5-8/5;
	* 5/4-9/8-5/4-8/7, the tempering of 1-5/4-7/5-7/4;
	* 9/8-10/9-9/8-10/7, the tempering of 1-9/8-5/4-7/5.
	The ~~first~~ four tetrads contain the marvel augmented triad.

	~~There are~~ two 9-odd-limit marvel [[pentad]]s:		The two 9-odd-limit marvel [[pentad]]s are:
	* 9/8-10/9-9/8-5/4-8/7 and its inverse~~, which are the temperings of~~ 1-9/8-5/4-7/5-7/~~4 and 1-~~9/8-5/4-7/5-8/5.		* 1-9/8-5/4-7/5-7/4 with steps 9/8-10/9-9/8-5/4-8/7, and its inverse
	One notable 15-odd-limit tetrad is 1-4/3-3/2-15/8 which has as its homonym 1-9/8-7/5-3/2.		* 1-9/8-5/4-7/5-8/5 with steps 9/8-10/9-9/8-8/7-5/4.

			If we allow the [[15-odd-limit]], there are many more possibilities. One notable 15-odd-limit tetrad is 1-4/3-3/2-15/8 which has as its homonym 1-9/8-7/5-3/2.

	Equal temperaments with marvel chords include {{EDOs\| 19, 22, 31, 41, 43, 50, 53, 72, 84, 94, 103, 166 and 197 }}.		Equal temperaments with marvel chords include {{EDOs\| 19, 22, 31, 41, 43, 50, 53, 72, 84, 94, 103, 166 and 197 }}.

			== See also ==
			* [[Battaglia chord]]
			* [[Undecimal marvel chords]]

	[[Category:9-odd-limit]]		[[Category:9-odd-limit]]

FloraC: Recategorize

2023-05-23T11:41:21Z

Recategorize

← Older revision		Revision as of 11:41, 23 May 2023
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	[[Category:9-odd-limit]]		[[Category:9-odd-limit]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:~~Triad~~]]		[[Category:Triads]]
	[[Category:~~Tetrad~~]]		[[Category:Tetrads]]
	[[Category:~~Pentad~~]]		[[Category:Pentads]]
	[[Category:Marvel]]		[[Category:Marvel]]

FloraC: Categories

2022-02-08T18:11:26Z

TallKite: clarifications, also added a 15-limit chord.

2021-09-21T08:40:55Z

clarifications, also added a 15-limit chord.

← Older revision		Revision as of 08:40, 21 September 2021
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	'''Marvel chords''' are [[essentially tempered dyadic chord]]s tempered by the marvel comma, [[225/224]]. The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1-5/4-[[14/9]] chord.		'''Marvel chords''' are [[essentially tempered dyadic chord]]s tempered by the marvel comma, [[225/224]]. The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1-5/4-[[14/9]] chord.

	~~Another~~ marvel ~~essentially tempered~~ triad ~~is the~~ 5/4-[[9/8]]-[[10/7]] ~~chord~~ and its inversion, ~~which means the marvel tempering~~ of 1-5/4-7/5 and 1-10/7-~~[[8~~/~~5]]~~.		There are three [[9-odd-limit]] marvel triads:

			* The aforementioned marvel augmented triad;
			* 5/4-[[9/8]]-[[10/7]] and its inversion, temperings of 1-5/4-7/5 and 1-5/4-16/9.

	[[File:marvel.jpg\|alt=marvel.jpg\|thumb\|Marvel triad]]		[[File:marvel.jpg\|alt=marvel.jpg\|thumb\|Marvel triad]]

	There are ~~also~~ marvel [[tetrad]]s:		There are six 9-odd-limit marvel [[tetrad]]s:

	* 5/4-9/8-10/9-9/7 and its inversion, temperings of 1-5/4-7/5-14/9 and 1-5/4-8/5-[[16/9]];		* 5/4-9/8-10/9-9/7 and its inversion, temperings of 1-5/4-7/5-14/9 and 1-5/4-8/5-[[16/9]];
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	* 5/4-9/8-5/4-8/7, the tempering of 1-5/4-7/5-7/4;		* 5/4-9/8-5/4-8/7, the tempering of 1-5/4-7/5-7/4;
	* 9/8-10/9-9/8-10/7, the tempering of 1-9/8-5/4-7/5.		* 9/8-10/9-9/8-10/7, the tempering of 1-9/8-5/4-7/5.
			The first four tetrads contain the marvel augmented triad.

	There are ~~also~~ two marvel [[pentad]]s:		There are two 9-odd-limit marvel [[pentad]]s:
	* 9/8-10/9-9/8-5/4-8/7 and its inverse, which are the temperings of 1-9/8-5/4-7/5-7/4 and 1-9/8-5/4-7/5-8/5.		* 9/8-10/9-9/8-5/4-8/7 and its inverse, which are the temperings of 1-9/8-5/4-7/5-7/4 and 1-9/8-5/4-7/5-8/5.
			One notable 15-odd-limit tetrad is 1-4/3-3/2-15/8 which has as its homonym 1-9/8-7/5-3/2.
	~~The [[9~~-odd-limit~~]] marvel chords number triads:~~ 3~~, tetrads: 6, pentads:~~ 2~~, for a total of 11~~.

	Equal temperaments with marvel chords include [[19edo]], [[22edo]], [[31edo]], [[41edo]], [[43edo]], [[50edo]], [[53edo]], [[72edo]], [[84edo]], [[94edo]], [[103edo]], [[166edo]] and [[197edo]].		Equal temperaments with marvel chords include [[19edo]], [[22edo]], [[31edo]], [[41edo]], [[43edo]], [[50edo]], [[53edo]], [[72edo]], [[84edo]], [[94edo]], [[103edo]], [[166edo]] and [[197edo]].

Xenwolf: simplify link, +cat

2021-05-20T07:08:24Z

simplify link, +cat

← Older revision		Revision as of 07:08, 20 May 2021
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	'''Marvel chords''' are [[~~Dyadic chord #Essentially tempered dyadic chords\|~~essentially tempered dyadic ~~chords~~]] tempered by the marvel comma, [[225/224]]. The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1-5/4-[[14/9]] chord.		'''Marvel chords''' are [[essentially tempered dyadic chord]]s tempered by the marvel comma, [[225/224]]. The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1-5/4-[[14/9]] chord.

	Another marvel essentially tempered triad is the 5/4-[[9/8]]-[[10/7]] chord and its inversion, which means the marvel tempering of 1-5/4-7/5 and 1-10/7-[[8/5]].		Another marvel essentially tempered triad is the 5/4-[[9/8]]-[[10/7]] chord and its inversion, which means the marvel tempering of 1-5/4-7/5 and 1-10/7-[[8/5]].
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	[[Category:9-limit]]		[[Category:9-limit]]
	[[Category:Chords]]		[[Category:Chords]]
			[[Category:Essentially tempered chords]]
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Marvel]]		[[Category:Marvel]]

FloraC: Readability improvement

2021-02-21T11:35:35Z

Readability improvement

← Older revision		Revision as of 11:35, 21 February 2021
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	'''Marvel chords''' are [[Dyadic chord#Essentially tempered dyadic chords\|essentially tempered dyadic chords]] tempered by the marvel comma, [[225/224]]. The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1-5/4-[[14/9]] chord.		'''Marvel chords''' are [[Dyadic chord #Essentially tempered dyadic chords\|essentially tempered dyadic chords]] tempered by the marvel comma, [[225/224]]. The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1-5/4-[[14/9]] chord.

	Another marvel essentially tempered triad is the 5/4-[[9/8]]-[[10/7]] chord and its inversion, which means the marvel tempering of 1-5/4-7/5 and 1-10/7-[[8/5]]. There are also marvel [[tetrad]]s: the 5/4-9/8-10/9-9/7 chord and its inversion, temperings of 1-5/4-7/5-14/9 and 1-5/4-8/5-[[16/9]]; the 5/4-9/8-[[8/7]]-5/4 chord and its inversion, temperings of 1-9/8-7/5-7/4 and 1-5/4-7/5-8/5; the 5/4-9/8-5/4-8/7 chord, the tempering of 1-5/4-7/5-7/4; and the 9/8-10/9-9/8-10/7 chord, the tempering of 1-9/8-5/4-7/5. There are also two marvel [[pentad]]s, the 9/8-10/9-9/8-5/4-8/7 and its inverse, which are the temperings of 1-9/8-5/4-7/5-7/4 and 1-9/8-5/4-7/5-8/5.		Another marvel essentially tempered triad is the 5/4-[[9/8]]-[[10/7]] chord and its inversion, which means the marvel tempering of 1-5/4-7/5 and 1-10/7-[[8/5]].

	~~The~~ [[~~9-limit~~]] ~~marvel chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.~~		[[File:marvel.jpg\|alt=marvel.jpg\|thumb\|Marvel triad]]

	~~Equal temperaments with~~ marvel ~~chords include~~ [[~~19edo~~]], [[~~22edo~~]], [[~~31edo~~]], ~~[[41edo]], [[43edo]]~~, ~~[[50edo]]~~, [[~~53edo]], [[72edo]], [[84edo]], [[94edo]], [[103edo~~]], ~~[[166edo]]~~ and ~~[[197edo]]~~.		There are also marvel [[tetrad]]s:

			* 5/4-9/8-10/9-9/7 and its inversion, temperings of 1-5/4-7/5-14/9 and 1-5/4-8/5-[[16/9]];
			* 5/4-9/8-[[8/7]]-5/4 and its inversion, temperings of 1-9/8-7/5-7/4 and 1-5/4-7/5-8/5;
			* 5/4-9/8-5/4-8/7, the tempering of 1-5/4-7/5-7/4;
			* 9/8-10/9-9/8-10/7, the tempering of 1-9/8-5/4-7/5.

			There are also two marvel [[pentad]]s:
			* 9/8-10/9-9/8-5/4-8/7 and its inverse, which are the temperings of 1-9/8-5/4-7/5-7/4 and 1-9/8-5/4-7/5-8/5.

	[[~~File~~:~~marvel.jpg\|alt=marvel.jpg\|marvel~~.~~jpg]]~~		The [[9-odd-limit]] marvel chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.

	~~Marvel triad~~		Equal temperaments with marvel chords include [[19edo]], [[22edo]], [[31edo]], [[41edo]], [[43edo]], [[50edo]], [[53edo]], [[72edo]], [[84edo]], [[94edo]], [[103edo]], [[166edo]] and [[197edo]].

	[[Category:9-limit]]		[[Category:9-limit]]

ResonantFrequencies: /* top */re-categorisation (AWB)

2019-06-30T23:55:59Z

top: re-categorisation (AWB)

← Older revision		Revision as of 23:55, 30 June 2019
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	'''Marvel chords''' are [[Dyadic chord#Essentially tempered dyadic chords\|essentially tempered dyadic chords]] tempered by the marvel comma, [[225/224]]. The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[~~triad\|~~triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1-5/4-[[14/9]] chord.		'''Marvel chords''' are [[Dyadic chord#Essentially tempered dyadic chords\|essentially tempered dyadic chords]] tempered by the marvel comma, [[225/224]]. The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1-5/4-[[14/9]] chord.

	Another marvel essentially tempered triad is the 5/4-[[9/8]]-[[10/7]] chord and its inversion, which means the marvel tempering of 1-5/4-7/5 and 1-10/7-[[8/5]]. There are also marvel [[tetrad]]s: the 5/4-9/8-10/9-9/7 chord and its inversion, temperings of 1-5/4-7/5-14/9 and 1-5/4-8/5-[[16/9]]; the 5/4-9/8-[[8/7]]-5/4 chord and its inversion, temperings of 1-9/8-7/5-7/4 and 1-5/4-7/5-8/5; the 5/4-9/8-5/4-8/7 chord, the tempering of 1-5/4-7/5-7/4; and the 9/8-10/9-9/8-10/7 chord, the tempering of 1-9/8-5/4-7/5. There are also two marvel [[pentad]]s, the 9/8-10/9-9/8-5/4-8/7 and its inverse, which are the temperings of 1-9/8-5/4-7/5-7/4 and 1-9/8-5/4-7/5-8/5.		Another marvel essentially tempered triad is the 5/4-[[9/8]]-[[10/7]] chord and its inversion, which means the marvel tempering of 1-5/4-7/5 and 1-10/7-[[8/5]]. There are also marvel [[tetrad]]s: the 5/4-9/8-10/9-9/7 chord and its inversion, temperings of 1-5/4-7/5-14/9 and 1-5/4-8/5-[[16/9]]; the 5/4-9/8-[[8/7]]-5/4 chord and its inversion, temperings of 1-9/8-7/5-7/4 and 1-5/4-7/5-8/5; the 5/4-9/8-5/4-8/7 chord, the tempering of 1-5/4-7/5-7/4; and the 9/8-10/9-9/8-10/7 chord, the tempering of 1-9/8-5/4-7/5. There are also two marvel [[pentad]]s, the 9/8-10/9-9/8-5/4-8/7 and its inverse, which are the temperings of 1-9/8-5/4-7/5-7/4 and 1-9/8-5/4-7/5-8/5.
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	[[Category:9-limit]]		[[Category:9-limit]]
	[[Category:~~Chord~~]]		[[Category:Chords]]
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Marvel]]		[[Category:Marvel]]

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	One notable 15-odd-limit tetrad is 1-4/3-3/2-15/8 which has as its homonym 1-9/8-7/5-3/2.		One notable 15-odd-limit tetrad is 1-4/3-3/2-15/8 which has as its homonym 1-9/8-7/5-3/2.

	Equal temperaments with marvel chords include ~~[[19edo]]~~, ~~[[22edo]]~~, ~~[[31edo]]~~, ~~[[41edo]]~~, ~~[[43edo]]~~, ~~[[50edo]]~~, ~~[[53edo]]~~, ~~[[72edo]]~~, ~~[[84edo]]~~, ~~[[94edo]]~~, ~~[[103edo]]~~, ~~[[166edo]]~~ and ~~[[197edo]]~~.		Equal temperaments with marvel chords include {{EDOs\| 19, 22, 31, 41, 43, 50, 53, 72, 84, 94, 103, 166 and 197 }}.

	[[Category:9-limit]]		[[Category:9-odd-limit]]
	~~[[Category:Chords~~]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	~~[[Category:Dyadic]]~~
	~~[[Category:Marvel]]~~
	[[Category:Triad]]		[[Category:Triad]]
	[[Category:Tetrad]]		[[Category:Tetrad]]
	[[Category:Pentad]]		[[Category:Pentad]]
			[[Category:Marvel]]