Sensamagic chords - Revision history

FloraC: Improve readability; recategorize

2024-10-09T10:12:18Z

Improve readability; recategorize

← Older revision		Revision as of 10:12, 9 October 2024
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	The sensamagic triad is a sensamagic chord with three notes when reduced to the octave. One of the sensamagic triads in close position consists of two supermajor thirds, approximately [[9/7]], and a minor third, approximately [[6/5]], which closes at the octave because the sensamagic comma, 245/243, is tempered out:		The sensamagic triad is a sensamagic chord with three notes when reduced to the octave. One of the sensamagic triads in close position consists of two supermajor thirds, approximately [[9/7]], and a minor third, approximately [[6/5]], which closes at the octave because the sensamagic comma, 245/243, is tempered out:
	* ~~1-9~~/~~7-5~~/3 with steps of 9/7-9/7-6/5.		* 1–9/7–5/3 with steps of 9/7, 9/7, 6/5.

	[[File:sensamagic.jpg\|alt=sensamagic.jpg\|thumb\|Sensamagic triad]]		[[File:sensamagic.jpg\|alt=sensamagic.jpg\|thumb\|Sensamagic triad]]

	The other sensamagic triads are		The other sensamagic triads are
	* ~~1-7~~/~~6-9~~/7, with steps 7/6-10/9-14/9, and its inversion		* 1–7/6–9/7, with steps 7/6, 10/9, 14/9, and its inversion
	* ~~1-7~~/~~6-9~~/5, with steps 7/6-14/9-10/9.		* 1–7/6–9/5, with steps 7/6, 14/9, 10/9.

	For sensamagic tetrads there are the following palindromes:		For sensamagic tetrads there are the following palindromes:
	* ~~1-7~~/~~6-9~~/~~7-3~~/2, with steps 7/6-10/9-7/6-4/3;		* 1–7/6–9/7–3/2, with steps 7/6, 10/9, 7/6, 4/3;
	* ~~1-7~~/~~6-9~~/~~7-9~~/5 with steps 7/6-10/9-7/5-10/9.		* 1–7/6–9/7–9/5 with steps 7/6, 10/9, 7/5, 10/9.

	And the following inversely related pairs:		And the following inversely related pairs:
	* ~~1-7~~/~~6-3~~/~~2-9~~/5 with steps 7/6-9/7-6/5-10/9 and its inversion		* 1–7/6–3/2–9/5 with steps 7/6, 9/7, 6/5, 10/9 and its inversion
	* ~~1-9~~/~~7-3~~/~~2-5~~/3 with steps 9/7-7/6-10/9-6/5;		* 1–9/7–3/2–5/3 with steps 9/7, 7/6, 10/9, 6/5;
	* ~~1-7~~/~~6-7~~/~~5-9~~/5 with steps 7/6-6/5-9/7-10/9 and its inversion		* 1–7/6–7/5–9/5 with steps 7/6, 6/5, 9/7, 10/9 and its inversion
	* ~~1-7~~/~~6-9~~/~~7-5~~/3 with steps 7/6-10/9-9/7-6/5.		* 1–7/6–9/7–5/3 with steps 7/6, 10/9, 9/7, 6/5.

	For pentads there are		For pentads there are
	* ~~1-7~~/~~6-9~~/~~7-3~~/~~2-5~~/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion,		* 1–7/6–9/7–3/2–5/3 with steps 7/6, 10/9, 7/6, 10/9, 6/5 and its inversion,
	* ~~1-7~~/~~6-9~~/~~7-3~~/~~2-9~~/5 with steps 7/6-10/9-7/6-6/5-10/9.		* 1–7/6–9/7–3/2–9/5 with steps 7/6, 10/9, 7/6, 6/5, 10/9.

	Equal ~~temperaments~~ with sensamagic chords include {{EDOs\| 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283 }}, with 283edo giving the [[optimal patent val]].		[[Equal temperament]]s with sensamagic chords include {{EDOs\| 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283 }}, with 283edo giving the [[optimal patent val]].

	== See also ==		== See also ==
	* [[Undecimal sensamagic chords]]		* [[Undecimal sensamagic chords]]

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

FloraC: Place structure info on top and note on voicing

2023-07-27T03:52:11Z

Place structure info on top and note on voicing

← Older revision		Revision as of 03:52, 27 July 2023
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	A '''sensamagic chord''' is an [[essentially tempered dyadic chord]] tempered by the sensamagic comma, [[245/243]].		A '''sensamagic chord''' is an [[essentially tempered dyadic chord]] tempered by the sensamagic comma, [[245/243]].

			The [[9-odd-limit]] sensamagic chords are of [[Dyadic chord/Pattern of essentially tempered chords\|pattern 1a]], 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 sensamagic triad is a sensamagic chord with three notes when reduced to the octave. One of the sensamagic triads in close position consists of two supermajor thirds, approximately [[9/7]], and a minor third, approximately [[6/5]], which closes at the octave because the sensamagic comma, 245/243, is tempered out:		The sensamagic triad is a sensamagic chord with three notes when reduced to the octave. One of the sensamagic triads in close position consists of two supermajor thirds, approximately [[9/7]], and a minor third, approximately [[6/5]], which closes at the octave because the sensamagic comma, 245/243, is tempered out:
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	* 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion,		* 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion,
	* 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.		* 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.

	The [[9-odd-limit]] sensamagic chords are of [[Dyadic chord/Pattern of essentially tempered chords\|pattern 1a]], meaning that there are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures.

	Equal temperaments with sensamagic chords include {{EDOs\| 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283 }}, with 283edo giving the [[optimal patent val]].		Equal temperaments with sensamagic chords include {{EDOs\| 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283 }}, with 283edo giving the [[optimal patent val]].

FloraC: readability; +pattern of chords

2023-07-26T15:50:58Z

readability; +pattern of chords

← Older revision		Revision as of 15:50, 26 July 2023
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	A '''sensamagic chord''' is an [[essentially tempered dyadic chord]] tempered by the sensamagic comma, [[245/243]].		A '''sensamagic chord''' is an [[essentially tempered dyadic chord]] tempered by the sensamagic comma, [[245/243]].

	The sensamagic triad is a sensamagic chord with three notes when reduced to the octave.		The sensamagic triad is a sensamagic chord with three notes when reduced to the octave. One of the sensamagic triads in close position consists of two supermajor thirds, approximately [[9/7]], and a minor third, approximately [[6/5]], which closes at the octave because the sensamagic comma, 245/243, is tempered out:

	One of the sensamagic triads in close position consists of two supermajor thirds, approximately [[9/7]], and a minor third, approximately [[6/5]], which closes at the octave because the sensamagic comma, 245/243, is tempered out:
	* 1-9/7-5/3 with steps of 9/7-9/7-6/5.		* 1-9/7-5/3 with steps of 9/7-9/7-6/5.

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	The other sensamagic triads are		The other sensamagic triads are
	* 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9.		* 1-7/6-9/7, with steps 7/6-10/9-14/9, and its inversion
			* 1-7/6-9/5, with steps 7/6-14/9-10/9.

	For sensamagic tetrads there are		For sensamagic tetrads there are the following palindromes:
	* 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3;		* 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3;
	* 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5;
	* 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and
	* 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9.		* 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9.

			And the following inversely related pairs:
			* 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion
			* 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5;
			* 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion
			* 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5.

	For pentads there are		For pentads there are
	* 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.		* 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion,
			* 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.

	The [[9-odd-limit]] sensamagic chords ~~number is~~ triads~~: 3~~, tetrads~~: 6,~~ pentads~~: 2~~, for a total of 11.		The [[9-odd-limit]] sensamagic chords are of [[Dyadic chord/Pattern of essentially tempered chords\|pattern 1a]], meaning that there are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures.

	Equal temperaments with sensamagic chords include {{EDOs\| 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283 }}, with 283edo giving the [[optimal patent val]].		Equal temperaments with sensamagic chords include {{EDOs\| 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283 }}, with 283edo giving the [[optimal patent val]].

FloraC: +link to undecimal

2023-06-30T01:07:23Z

+link to undecimal

← Older revision		Revision as of 01:07, 30 June 2023
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	* 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.		* 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.

	The [[9-odd-limit]] sensamagic chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.		The [[9-odd-limit]] sensamagic chords number is triads: 3, tetrads: 6, pentads: 2, for a total of 11.

	Equal temperaments with sensamagic chords include {{EDOs\| 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283 }}, with 283edo giving the [[optimal patent val]].		Equal temperaments with sensamagic chords include {{EDOs\| 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283 }}, with 283edo giving the [[optimal patent val]].

			== See also ==
			* [[Undecimal sensamagic chords]]

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

FloraC: Recategorize

2023-05-23T11:46:13Z

Recategorize

← Older revision		Revision as of 11:46, 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:Sensamagic]]		[[Category:Sensamagic]]

FloraC: Categories

2022-02-08T18:09:43Z

Xenwolf: +cat

2021-05-20T07:06:27Z

+cat

← Older revision		Revision as of 07:06, 20 May 2021
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	A '''sensamagic chord''' is an [[~~Dyadic chord #Essentially tempered dyadic chords\|~~essentially tempered dyadic chord]] tempered by the sensamagic comma, [[245/243]].		A '''sensamagic chord''' is an [[essentially tempered dyadic chord]] tempered by the sensamagic comma, [[245/243]].

	The sensamagic triad is a sensamagic chord with three notes when reduced to the octave.		The sensamagic triad is a sensamagic chord with three notes when reduced to the octave.
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	[[Category:9-limit]]		[[Category:9-limit]]
	[[Category:Chords]]		[[Category:Chords]]
			[[Category:Essentially tempered chords]]
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Sensamagic]]		[[Category:Sensamagic]]
	[[Category:Triad]]		[[Category:Triad]]

FloraC: Cleanup and readability improvements

2021-04-16T14:30:58Z

Cleanup and readability improvements

← Older revision		Revision as of 14:30, 16 April 2021
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	A ''sensamagic chord'' is an [[Dyadic chord#Essentially tempered dyadic chords\|essentially tempered dyadic chord]] tempered by the sensamagic comma, 245/243. The sensamagic triad is a sensamagic chord with three notes when reduced to the octave, which in close position consists of two supermajor thirds, approximately 9/7, and a minor third, approximately 6/5, or in other words a 9/7-9/7-6/5 chord, which closes at the octave because the sensamagic comma, 245/243, is tempered out. It can also be described as a sensamagic-tempered version of 1-9/7-5/3. The other sensamagic triads are the chord 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9.		A '''sensamagic chord''' is an [[Dyadic chord #Essentially tempered dyadic chords\|essentially tempered dyadic chord]] tempered by the sensamagic comma, [[245/243]].

	~~For~~ sensamagic tetrads there are 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3; 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5; 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9. For pentads there are 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with ~~steps 7/6-10/9-7/6-6/5-10/9~~.		The sensamagic triad is a sensamagic chord with three notes when reduced to the octave.

	Sensamagic chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.		One of the sensamagic triads in close position consists of two supermajor thirds, approximately [[9/7]], and a minor third, approximately [[6/5]], which closes at the octave because the sensamagic comma, 245/243, is tempered out:
			* 1-9/7-5/3 with steps of 9/7-9/7-6/5.

			[[File:sensamagic.jpg\|alt=sensamagic.jpg\|thumb\|Sensamagic triad]]

			The other sensamagic triads are
			* 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9.

			For sensamagic tetrads there are
			* 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3;
			* 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5;
			* 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and
			* 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9.

			For pentads there are
			* 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.

			The [[9-odd-limit]] sensamagic chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.

	Equal temperaments with sensamagic chords include 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283, 324d, 411bd, 607bd and 694bd.		Equal temperaments with sensamagic chords include 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283, 324d, 411bd, 607bd and 694bd.

	~~[[File:sensamagic.jpg\|alt=sensamagic.jpg\|sensamagic.jpg]]~~

	~~Sensamagic triad~~
	[[Category:9-limit]]		[[Category:9-limit]]
	[[Category:Chords]]		[[Category:Chords]]
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Sensamagic]]		[[Category:Sensamagic]]
	~~[[Category:Todo:add links]]~~
	[[Category:Triad]]		[[Category:Triad]]

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

2019-06-30T23:57:18Z

top: re-categorisation (AWB)

← Older revision		Revision as of 23:57, 30 June 2019
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	A ''sensamagic chord'' is an [[~~Dyadic_chord~~#Essentially tempered dyadic chords\|essentially tempered dyadic chord]] tempered by the sensamagic comma, 245/243. The sensamagic triad is a sensamagic chord with three notes when reduced to the octave, which in close position consists of two supermajor thirds, approximately 9/7, and a minor third, approximately 6/5, or in other words a 9/7-9/7-6/5 chord, which closes at the octave because the sensamagic comma, 245/243, is tempered out. It can also be described as a sensamagic-tempered version of 1-9/7-5/3. The other sensamagic triads are the chord 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9.		A ''sensamagic chord'' is an [[Dyadic chord#Essentially tempered dyadic chords\|essentially tempered dyadic chord]] tempered by the sensamagic comma, 245/243. The sensamagic triad is a sensamagic chord with three notes when reduced to the octave, which in close position consists of two supermajor thirds, approximately 9/7, and a minor third, approximately 6/5, or in other words a 9/7-9/7-6/5 chord, which closes at the octave because the sensamagic comma, 245/243, is tempered out. It can also be described as a sensamagic-tempered version of 1-9/7-5/3. The other sensamagic triads are the chord 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9.

	For sensamagic tetrads there are 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3; 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5; 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9. For pentads there are 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.		For sensamagic tetrads there are 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3; 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5; 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9. For pentads there are 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.
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	Sensamagic triad		Sensamagic triad
	[[Category:9-limit]]		[[Category:9-limit]]
	[[Category:~~chord~~]]		[[Category:Chords]]
	[[Category:~~dyadic~~]]		[[Category:Dyadic]]
	[[Category:~~sensamagic~~]]		[[Category:Sensamagic]]
	[[Category:~~todo~~:~~add_links~~]]		[[Category:Todo:add links]]
	[[Category:~~triad~~]]		[[Category:Triad]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		A ''sensamagic chord'' is an [[Dyadic_chord#Essentially tempered dyadic chords\|essentially tempered dyadic chord]] tempered by the sensamagic comma, 245/243. The sensamagic triad is a sensamagic chord with three notes when reduced to the octave, which in close position consists of two supermajor thirds, approximately 9/7, and a minor third, approximately 6/5, or in other words a 9/7-9/7-6/5 chord, which closes at the octave because the sensamagic comma, 245/243, is tempered out. It can also be described as a sensamagic-tempered version of 1-9/7-5/3. The other sensamagic triads are the chord 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~
	~~: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-03-19 18:33:18 UTC</tt>.<br>~~
	~~: The original revision id was <tt>312600656</tt>.<br>~~
	~~: The revision comment was: <tt></tt><br>~~
	~~The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>~~
	~~<h4>Original Wikitext content:</h4>~~
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">A //sensamagic chord// is an [[~~Dyadic chord~~#Essentially tempered dyadic chords\|essentially tempered dyadic chord]] tempered by the sensamagic comma, 245/243. The sensamagic triad is a sensamagic chord with three notes when reduced to the octave, which in close position consists of two supermajor thirds, approximately 9/7, and a minor third, approximately 6/5, or in other words a 9/7-9/7-6/5 chord, which closes at the octave because the sensamagic comma, 245/243, is tempered out. It can also be described as a sensamagic-tempered version of 1-9/7-5/3. The other sensamagic triads are the chord 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9.

	For sensamagic tetrads there are 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3; 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5; 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9. For pentads there are 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.		For sensamagic tetrads there are 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3; 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5; 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9. For pentads there are 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.
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	Equal temperaments with sensamagic chords include 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283, 324d, 411bd, 607bd and 694bd.		Equal temperaments with sensamagic chords include 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283, 324d, 411bd, 607bd and 694bd.

	[[~~image~~:sensamagic.jpg]]		[[File:sensamagic.jpg\|alt=sensamagic.jpg\|sensamagic.jpg]]
	Sensamagic triad~~</pre></div>~~
	~~<h4>Original HTML content~~:~~</h4>~~		Sensamagic triad
	~~<div style="width~~:~~100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width~~:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>sensamagic chords</title></head><body>A <em>sensamagic chord</em> is an <a class="wiki_link" href="/Dyadic%20chord#Essentially tempered dyadic chords">essentially tempered dyadic chord</a> tempered by the sensamagic comma, 245/243. The sensamagic triad is a sensamagic chord with three notes when reduced to the octave, which in close position consists of two supermajor thirds, approximately 9/7, and a minor third, approximately 6/5, or in other words a 9/7-9/7-6/5 chord, which closes at the octave because the sensamagic comma, 245/243, is tempered out. It can also be described as a sensamagic-tempered version of 1-9/7-5/3. The other sensamagic triads are the chord 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9.<br />		[[Category:9-limit]]
	~~<br />~~		[[Category:chord]]
	~~For~~ sensamagic tetrads there are 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3; 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5; 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9. For pentads there are 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9. <br />		[[Category:dyadic]]
	~~<br />~~		[[Category:sensamagic]]
	~~Sensamagic chords number triads~~: ~~3, tetrads~~: ~~6, pentads: 2, for a total of 11.<br />~~		[[Category:todo:add_links]]
	~~<br />~~		[[Category:triad]]
	~~Equal temperaments with sensamagic chords include 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283, 324d, 411bd, 607bd and 694bd.<br />~~
	~~<br />~~
	~~<!-- ws:start:WikiTextLocalImageRule:0~~:&lt;img src=&quot;/file/view/sensamagic.jpg/312599634/sensamagic.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/sensamagic.jpg/312599634/sensamagic.jpg" alt="sensamagic.jpg" title="sensamagic.jpg" /><!-- ws:end:WikiTextLocalImageRule:0 --><br />
	~~Sensamagic~~ triad~~</body></html></pre></div>~~

← Older revision		Revision as of 18:09, 8 February 2022
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	The [[9-odd-limit]] sensamagic chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.		The [[9-odd-limit]] sensamagic chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.

	Equal temperaments with sensamagic chords include 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283, ~~324d, 411bd, 607bd and 694bd~~.		Equal temperaments with sensamagic chords include {{EDOs\| 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283 }}, with 283edo giving the [[optimal patent val]].

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