Minor minthmic chords - Revision history

FloraC: Cleanup

2025-03-19T14:29:41Z

Cleanup

FloraC: FloraC moved page Gentle chords to Minor minthmic chords: Address a name change

2024-01-15T13:48:31Z

FloraC moved page Gentle chords to Minor minthmic chords: Address a name change

← Older revision	Revision as of 13:48, 15 January 2024
(No difference)

FloraC: Address a name change

2024-01-15T13:48:17Z

Address a name change

← Older revision		Revision as of 13:48, 15 January 2024
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	'''~~Gentle~~ chords''' are [[Dyadic chord\|essentially tempered chords]] tempered by the ~~gentle comma~~, [[364/363]].		'''Minor minthmic chords''' are [[Dyadic chord\|essentially tempered chords]] tempered by the minor minthma, [[364/363]].

	There are 10 triads, 33 tetrads, 26 pentads and 6 hexads as 2.3.7.11.13 [[subgroup]] [[13-odd-limit]] essentially tempered chords.		There are 10 triads, 33 tetrads, 26 pentads and 6 hexads as 2.3.7.11.13 [[subgroup]] [[13-odd-limit]] essentially tempered chords.
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	* 1-12/11-13/11-14/11-3/2-18/11 with steps of 12/11-13/12-14/13-13/11-12/11-11/9.		* 1-12/11-13/11-14/11-3/2-18/11 with steps of 12/11-13/12-14/13-13/11-12/11-11/9.

	Equal temperaments with ~~gentle~~ chords include {{Optimal ET sequence\| 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456 }}.		Equal temperaments with minor minthmic chords include {{Optimal ET sequence\| 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456 }}.

	[[Category:13-odd-limit]]		[[Category:13-odd-limit]]
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	[[Category:Pentads]]		[[Category:Pentads]]
	[[Category:Hexads]]		[[Category:Hexads]]
	[[Category:~~Gentle~~]]		[[Category:Minor minthmic]]
	[[Category:Neo-gothic]]		[[Category:Neo-gothic]]

Xenllium: Update the article

2023-11-04T12:51:24Z

Update the article

Show changes

Xenllium: Update the article including adding categories

2023-09-03T11:34:22Z

Update the article including adding categories

← Older revision		Revision as of 11:34, 3 September 2023
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	A '''gentle chord''' is ~~a [[13-odd-limit]]~~ [[Dyadic chord\|essentially tempered chord]] ~~in the gentle temperament, tempering out~~ the gentle comma, [[364/363]].		A '''gentle chord''' is an [[Dyadic chord\|essentially tempered chord]] tempered by the gentle comma, [[364/363]].

	~~A gentle triad is any of four~~ 13-odd-limit essentially tempered ~~triads in the gentle temperament~~.		Gentle chords are numerous, including 10 triads and 33 tetrads as 2.3.7.11.13 [[subgroup]] [[13-odd-limit]] essentially tempered chords.

	~~The ''supermajor gentle triad'' is a tempering~~ of		For triads, there are five pairs of chords in inverse relationship.
	* 1-14/11-3/2

	~~and its inversion the~~ ''~~subminor~~ gentle triad'' is a tempering of		The ''gentle major triad'' (or ''supermajor gentle triad'') is a tempering of
	* 1-13/11-3/2		* 1-14/11-3/2 with steps of 14/11-13/11-4/3;

	~~The~~ ''~~gothic~~ gentle ~~triads~~'' ~~are the temperings~~ of		and its inversion the ''gentle minor triad'' (or ''subminor gentle triad'') is a tempering of
	* 1-7/6-11/8		* 1-13/11-3/2 with steps of 13/11-14/11-4/3.

	and its inversion		The ''gothic gentle triads'' are temperings of
	* 1-13/11-11/8.		* 1-7/6-11/8 with steps of 7/6-13/11-16/11;

			and its inversion,
			* 1-13/11-11/8 with steps of 13/11-7/6-16/11.

	The names refer to [[Margo Schulter]]'s [[Neo-gothic]] theory of harmony, which features a [[gentle region]] with a slightly sharpened fifth in which gentle triads and neogothic triads flourish.		The names refer to [[Margo Schulter]]'s [[Neo-gothic]] theory of harmony, which features a [[gentle region]] with a slightly sharpened fifth in which gentle triads and neogothic triads flourish.

	A gentle tetrad is ~~any~~ of ~~three~~ 13-~~limit essentially tempered tetrads in~~ the gentle ~~temperament~~.		The rest three inversely related pairs of triads contain semitones:
			* 1-14/11-18/13 with steps 14/11-12/11-13/9 and its inverse 1-12/11-18/13 with steps 12/11-14/11-13/9;
			* 1-14/11-11/8 with steps 14/11-13/12-16/11 and its inverse 1-13/12-11/8 with steps 13/12-14/11-16/11;
			* 1-13/11-9/7 with steps 13/11-12/11-14/9 and its inverse 1-12/11-9/7 with steps 12/11-13/11-14/9.

			For tetrads, there are five palindromic chords and fourteen pairs of chords in inverse relationship.

			The ''gentle major tetrad'' is a tempering of
			* 1-14/11-3/2-7/4 with steps of 14/11-13/11-7/6-8/7;

			and its inversion the ''gentle minor tetrad'' is a tempering of
			* 1-13/11-3/2-12/7 with steps of 13/11-14/11-8/7-7/6.

			The ''gothic gentle tetrad'' is palindromic, a tempering of pairs of
			* 1-13/11-11/8-13/8 with steps of 13/11-7/6-13/11-16/13.

			The rest four palindromic tetrads and thirteen inversely related pairs of tetrads contain semitones such as 12/11, 13/12 or 14/13.

	~~In close position, these~~ are ~~temperings of~~		There are also pentads and hexads as gentle chords, all of them contain semitones.
	* 1-14/11-3/2-7/4, with steps of 14/11-13/11-7/6-8/7
	* 1-13/11-3/2-12/7, with steps of 13/11-14/11-8/7-7/6
	* 1-13/11-11/8-13/8, ~~with steps~~ of ~~13/11-7/6-13/11-16/13~~

	~~Edo~~ with gentle chords include {{~~EDOs~~\| 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456 }}.		Equal temperaments with gentle chords include {{Optimal ET sequence\| 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456 }}.

			[[Category:13-odd-limit]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
			[[Category:Triads]]
			[[Category:Tetrads]]
	[[Category:Gentle]]		[[Category:Gentle]]
	[[Category:Neo-gothic]]		[[Category:Neo-gothic]]

FloraC: Categories

2023-02-18T12:54:24Z

FloraC: Readability improvement

2021-04-10T08:16:18Z

Readability improvement

← Older revision		Revision as of 08:16, 10 April 2021
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	A '''gentle ~~tetrad~~''' is ~~any of three~~ [[13-limit]] [[Dyadic chord\|essentially tempered ~~tetrads~~]] in the gentle temperament, tempering out [[364/363]]. ~~In close position, these have steps of size 14/11-13/11-7/6-8/7, 13/11-14/11-8/7-7/6 and 13/11-7/6-13/11-16/13, leading to the temperings of 1-14/11-3/2-7/4, 1-13/11-3/2-12/7 and 1-13/11-11/8-13/8.~~ A gentle triad is any of four 13-limit essentially tempered triads in the gentle temperament. The supermajor gentle triad is a tempering of 1-14/11-3/2, and its inversion the subminor gentle triad is a tempering of 1-13/11-3/2. The gothic gentle triads are the temperings of 1-7/6-11/8 and its inversion 1-13/11-11/8. The names refer to [[Margo Schulter]]'s [[Neo-gothic]] theory of harmony, which features a [[gentle region]] with a slightly sharpened fifth in which gentle triads and neogothic triads flourish. ~~Equal divisions~~ with gentle ~~triads~~ include {{EDOs\|17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456}}.		A '''gentle chord''' is a [[13-odd-limit]] [[Dyadic chord\|essentially tempered chord]] in the gentle temperament, tempering out the gentle comma, [[364/363]].

			A gentle triad is any of four 13-odd-limit essentially tempered triads in the gentle temperament.

			The ''supermajor gentle triad'' is a tempering of
			* 1-14/11-3/2

			and its inversion the ''subminor gentle triad'' is a tempering of
			* 1-13/11-3/2

			The ''gothic gentle triads'' are the temperings of
			* 1-7/6-11/8

			and its inversion
			* 1-13/11-11/8.

			The names refer to [[Margo Schulter]]'s [[Neo-gothic]] theory of harmony, which features a [[gentle region]] with a slightly sharpened fifth in which gentle triads and neogothic triads flourish.

			A gentle tetrad is any of three 13-limit essentially tempered tetrads in the gentle temperament.

			In close position, these are temperings of
			* 1-14/11-3/2-7/4, with steps of 14/11-13/11-7/6-8/7
			* 1-13/11-3/2-12/7, with steps of 13/11-14/11-8/7-7/6
			* 1-13/11-11/8-13/8, with steps of 13/11-7/6-13/11-16/13

			Edo with gentle chords include {{EDOs\| 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456 }}.

	[[Category:13-limit]]		[[Category:13-limit]]

FloraC: +links

2020-09-24T05:37:31Z

+links

← Older revision		Revision as of 05:37, 24 September 2020
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	A gentle tetrad is any of three 13-limit [[Dyadic chord\|essentially tempered tetrads]] in the gentle temperament, tempering out 364/363. In close position, these have steps of size 14/11-13/11-7/6-8/7, 13/11-14/11-8/7-7/6 and 13/11-7/6-13/11-16/13, leading to the temperings of 1-14/11-3/2-7/4, 1-13/11-3/2-12/7 and 1-13/11-11/8-13/8. A gentle triad is any of four 13-limit essentially tempered triads in the gentle temperament. The supermajor gentle triad is a tempering of 1-14/11-3/2, and its inversion the subminor gentle triad is a tempering of 1-13/11-3/2. The gothic gentle triads are the temperings of 1-7/6-11/8 and its inversion 1-13/11-11/8. The names refer to [[Margo Schulter]]'s Neo-gothic theory of harmony, which features a [[gentle region]] with a slightly sharpened fifth in which gentle triads and neogothic triads flourish. Equal divisions with gentle triads include 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456.		A '''gentle tetrad''' is any of three [[13-limit]] [[Dyadic chord\|essentially tempered tetrads]] in the gentle temperament, tempering out [[364/363]]. In close position, these have steps of size 14/11-13/11-7/6-8/7, 13/11-14/11-8/7-7/6 and 13/11-7/6-13/11-16/13, leading to the temperings of 1-14/11-3/2-7/4, 1-13/11-3/2-12/7 and 1-13/11-11/8-13/8. A gentle triad is any of four 13-limit essentially tempered triads in the gentle temperament. The supermajor gentle triad is a tempering of 1-14/11-3/2, and its inversion the subminor gentle triad is a tempering of 1-13/11-3/2. The gothic gentle triads are the temperings of 1-7/6-11/8 and its inversion 1-13/11-11/8. The names refer to [[Margo Schulter]]'s [[Neo-gothic]] theory of harmony, which features a [[gentle region]] with a slightly sharpened fifth in which gentle triads and neogothic triads flourish. Equal divisions with gentle triads include {{EDOs\|17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456}}.

	[[Category:13-limit]]		[[Category:13-limit]]
	[[Category:Chords]]		[[Category:Chords]]
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	[[Category:Gentle]]		[[Category:Gentle]]
	[[Category:Neo-gothic]]		[[Category:Neo-gothic]]
	~~[[Category:Todo:add links]]~~

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

2019-06-30T00:37:30Z

top: re-categorisation (AWB)

← Older revision		Revision as of 00:37, 30 June 2019
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	A gentle tetrad is any of three 13-limit [[~~Dyadic_chord~~\|essentially tempered tetrads]] in the gentle temperament, tempering out 364/363. In close position, these have steps of size 14/11-13/11-7/6-8/7, 13/11-14/11-8/7-7/6 and 13/11-7/6-13/11-16/13, leading to the temperings of 1-14/11-3/2-7/4, 1-13/11-3/2-12/7 and 1-13/11-11/8-13/8. A gentle triad is any of four 13-limit essentially tempered triads in the gentle temperament. The supermajor gentle triad is a tempering of 1-14/11-3/2, and its inversion the subminor gentle triad is a tempering of 1-13/11-3/2. The gothic gentle triads are the temperings of 1-7/6-11/8 and its inversion 1-13/11-11/8. The names refer to [[~~Margo_Schulter\|~~Margo Schulter]]'s Neo-gothic theory of harmony, which features a [[~~Gentle_region\|~~gentle region]] with a slightly sharpened fifth in which gentle triads and neogothic triads flourish. Equal divisions with gentle triads include 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456.		A gentle tetrad is any of three 13-limit [[Dyadic chord\|essentially tempered tetrads]] in the gentle temperament, tempering out 364/363. In close position, these have steps of size 14/11-13/11-7/6-8/7, 13/11-14/11-8/7-7/6 and 13/11-7/6-13/11-16/13, leading to the temperings of 1-14/11-3/2-7/4, 1-13/11-3/2-12/7 and 1-13/11-11/8-13/8. A gentle triad is any of four 13-limit essentially tempered triads in the gentle temperament. The supermajor gentle triad is a tempering of 1-14/11-3/2, and its inversion the subminor gentle triad is a tempering of 1-13/11-3/2. The gothic gentle triads are the temperings of 1-7/6-11/8 and its inversion 1-13/11-11/8. The names refer to [[Margo Schulter]]'s Neo-gothic theory of harmony, which features a [[gentle region]] with a slightly sharpened fifth in which gentle triads and neogothic triads flourish. Equal divisions with gentle triads include 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456.
	[[Category:13-limit]]		[[Category:13-limit]]
	[[Category:~~chord~~]]		[[Category:Chords]]
	[[Category:~~dyadic~~]]		[[Category:Dyadic]]
	[[Category:~~gentle~~]]		[[Category:Gentle]]
	[[Category:~~neo~~-gothic]]		[[Category:Neo-gothic]]
	[[Category:~~todo~~:~~add_links~~]]		[[Category:Todo:add links]]

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 gentle tetrad is any of three 13-limit [[Dyadic_chord\|essentially tempered tetrads]] in the gentle temperament, tempering out 364/363. In close position, these have steps of size 14/11-13/11-7/6-8/7, 13/11-14/11-8/7-7/6 and 13/11-7/6-13/11-16/13, leading to the temperings of 1-14/11-3/2-7/4, 1-13/11-3/2-12/7 and 1-13/11-11/8-13/8. A gentle triad is any of four 13-limit essentially tempered triads in the gentle temperament. The supermajor gentle triad is a tempering of 1-14/11-3/2, and its inversion the subminor gentle triad is a tempering of 1-13/11-3/2. The gothic gentle triads are the temperings of 1-7/6-11/8 and its inversion 1-13/11-11/8. The names refer to [[Margo_Schulter\|Margo Schulter]]'s Neo-gothic theory of harmony, which features a [[Gentle_region\|gentle region]] with a slightly sharpened fifth in which gentle triads and neogothic triads flourish. Equal divisions with gentle triads include 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~		[[Category:13-limit]]
	~~: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2013-10-15 00:48:58 UTC</tt>.<br>~~		[[Category:chord]]
	~~: The original revision id was <tt>459823714</tt>.<br>~~		[[Category:dyadic]]
	~~: The revision comment was: <tt></tt><br>~~		[[Category:gentle]]
	~~The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>~~		[[Category:neo-gothic]]
	~~<h4>Original Wikitext content:</h4>~~		[[Category:todo:add_links]]
	<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 gentle tetrad is any of three 13-limit [[~~dyadic chord~~\|essentially tempered tetrads]] in the gentle temperament, tempering out 364/363. In close position, these have steps of size 14/11-13/11-7/6-8/7, 13/11-14/11-8/7-7/6 and 13/11-7/6-13/11-16/13, leading to the temperings of 1-14/11-3/2-7/4, 1-13/11-3/2-12/7 and 1-13/11-11/8-13/8. A gentle triad is any of four 13-limit essentially tempered triads in the gentle temperament. The supermajor gentle triad is a tempering of 1-14/11-3/2, and its inversion the subminor gentle triad is a tempering of 1-13/11-3/2. The gothic gentle triads are the temperings of 1-7/6-11/8 and its inversion 1-13/11-11/8. The names refer to [[Margo Schulter]]'s Neo-gothic theory of harmony, which features a [[gentle region]] with a slightly sharpened fifth in which gentle triads and neogothic triads flourish. Equal divisions with gentle triads include 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456.~~</pre></div>~~
	~~<h4>Original HTML 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;width~~:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>gentle chords</title></head><body>A gentle tetrad is any of three 13-limit <a class="wiki_link" href="/dyadic%20chord">essentially tempered tetrads</a> in the gentle temperament, tempering out 364/363. In close position, these have steps of size 14/11-13/11-7/6-8/7, 13/11-14/11-8/7-7/6 and 13/11-7/6-13/11-16/13, leading to the temperings of 1-14/11-3/2-7/4, 1-13/11-3/2-12/7 and 1-13/11-11/8-13/8. A gentle triad is any of four 13-limit essentially tempered triads in the gentle temperament. The supermajor gentle triad is a tempering of 1-14/11-3/2, and its inversion the subminor gentle triad is a tempering of 1-13/11-3/2. The gothic gentle triads are the temperings of 1-7/6-11/8 and its inversion 1-13/11-11/8. The names refer to <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>'s Neo-gothic theory of harmony, which features a <a class="wiki_link" href="/gentle%20region">gentle region</a> with a slightly sharpened fifth in which gentle triads and neogothic triads flourish. Equal divisions with gentle triads include 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456.</body></html></pre></div>

← Older revision		Revision as of 12:54, 18 February 2023
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	Edo with gentle chords include {{EDOs\| 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456 }}.		Edo with gentle chords include {{EDOs\| 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456 }}.

	[[Category:~~13-limit]]~~		[[Category:Essentially tempered chords]]
	~~[[Category:Chords]]~~
	~~[[Category:Dyadic~~]]
	[[Category:Gentle]]		[[Category:Gentle]]
	[[Category:Neo-gothic]]		[[Category:Neo-gothic]]