Tutonic hexad - Revision history

FloraC: Cleanup; recategorize

2025-01-01T13:47:30Z

Cleanup; recategorize

← Older revision		Revision as of 13:47, 1 January 2025
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	The palindromic hexads are		The palindromic hexads are
	* ~~1-9~~/~~8-5~~/~~4-7~~/~~5-14~~/~~9-7~~/4 with steps of 9/8-9/8-9/8-9/8-9/8-8/7 ([[Didymic chords\|erato hexad]], tempered by 81/80 and 126/125);		* 1–9/8–5/4–7/5–14/9–7/4 with steps of 9/8, 9/8, 9/8, 9/8, 9/8, 8/7 ([[Didymic chords\|erato hexad]], tempered by 81/80 and 126/125);
	* ~~1-9~~/~~8-9~~/~~7-10~~/~~7-11~~/~~7-7~~/4 with steps of 9/8-8/7-9/8-11/10-9/8-8/7 (euterpe hexad, tempered by 81/80 and 99/98);		* 1–9/8–9/7–10/7–11/7–7/4 with steps of 9/8, 8/7, 9/8, 11/10, 9/8, 8/7 (euterpe hexad, tempered by 81/80 and 99/98);
	* ~~1-9~~/~~8-9~~/~~7-7~~/~~5-8~~/~~5-7~~/4 with steps of 9/8-8/7-11/10-8/7-11/10-8/7 (minerva hexad, tempered by 99/98 and 176/175);		* 1–9/8–9/7–7/5–8/5–7/4 with steps of 9/8, 8/7, 11/10, 8/7, 11/10, 8/7 (minerva hexad, tempered by 99/98 and 176/175);
	* ~~1-9~~/~~8-5~~/~~4-7~~/~~5-8~~/~~5-7~~/4 with steps of 9/8-9/8-9/8-8/7-11/10-8/7 (minerva hexad, tempered by 99/98 and 176/175).		* 1–9/8–5/4–7/5–8/5–7/4 with steps of 9/8, 9/8, 9/8, 8/7, 11/10, 8/7 (minerva hexad, tempered by 99/98 and 176/175).

	The inversely related pairs of hexads are		The inversely related pairs of hexads are
	* ~~1-9~~/~~8-5~~/~~4-10~~/~~7-11~~/~~7-7~~/4 with steps of 9/8-9/8-8/7-11/10-9/8-8/7, and its inverse		* 1–9/8–5/4–10/7–11/7–7/4 with steps of 9/8, 9/8, 8/7, 11/10, 9/8, 8/7, and its inverse
	* ~~1-9~~/~~8-11~~/~~9-7~~/~~5-11~~/~~7-7~~/4 with steps of 9/8-11/10-8/7-9/8-9/8-8/7;		* 1–9/8–11/9–7/5–11/7–7/4 with steps of 9/8, 11/10, 8/7, 9/8, 9/8, 8/7;
	* ~~1-9~~/~~8-9~~/~~7-7~~/~~5-11~~/~~7-7~~/4 with steps of 9/8-8/7-11/10-9/8-9/8-8/7, and its inverse		* 1–9/8–9/7–7/5–11/7–7/4 with steps of 9/8, 8/7, 11/10, 9/8, 9/8, 8/7, and its inverse
	* ~~1-9~~/~~8-5~~/~~4-11~~/~~8-11~~/~~7-7~~/4 with steps of 9/8-9/8-11/10-8/7-9/8-8/7.		* 1–9/8–5/4–11/8–11/7–7/4 with steps of 9/8, 9/8, 11/10, 8/7, 9/8, 8/7.

	[[Category:9-odd-limit]]		[[Category:9-odd-limit chords]]
	[[Category:11-odd-limit]]		[[Category:11-odd-limit chords]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:Hexads]]		[[Category:Hexads]]
	[[Category:Tutone]]		[[Category:Tutone]]

Xenllium: Update the article

2023-11-11T12:20:31Z

Update the article

@@ Line 1: / Line 1: @@
-The '''tutonic hexad''' is an [[essentially tempered chord]] of the [[tutone]] temperament, which is every other member of the [[generator]] chain of [[11-limit]] [[meantone]] ([[Huygens]]). This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {[[81/80]], [[99/98]], [[126/125]]}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.
+A '''tutonic hexad''' is an [[essentially tempered chord]] of the [[tutone]] temperament, which is every other member of the [[generator]] chain of [[11-limit]] [[meantone]] (also called as [[Huygens]], tempered by [[81/80]], [[99/98]] and [[126/125]]).
 [[Category:11-odd-limit]]
 [[Category:Essentially tempered chords]]
 [[Category:Hexads]]
 [[Category:Tutone]]

FloraC: Recategorize

2023-05-23T11:56:04Z

Recategorize

← Older revision		Revision as of 11:56, 23 May 2023
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	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
	~~[[Category:Hexad]]~~
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
			[[Category:Hexads]]
	[[Category:Tutone]]		[[Category:Tutone]]

Fredg999: Change "sextad" to "hexad", categories

2023-04-20T20:51:46Z

Change "sextad" to "hexad", categories

← Older revision		Revision as of 20:51, 20 April 2023
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			The '''tutonic hexad''' is an [[essentially tempered chord]] of the [[tutone]] temperament, which is every other member of the [[generator]] chain of [[11-limit]] [[meantone]] ([[Huygens]]). This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {[[81/80]], [[99/98]], [[126/125]]}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.

	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
	[[Category:Hexad]]		[[Category:Hexad]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:Tutone]]		[[Category:Tutone]]
	~~[[Category:Tutonic]]~~
	The '''tutonic [[sextad]]''' is an [[essentially tempered chord]] of the [[tutone]] temperament, which is every other member of the [[generator]] chain of [[11-limit]] [[meantone]] ([[Huygens]]). This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {[[81/80]], [[99/98]], [[126/125]]}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.

Fredg999: Fredg999 moved page Tutonic sextad to Tutonic hexad: "Sextad" isn't the usual word for a 6-note chord

2023-04-20T20:51:06Z

Fredg999 moved page Tutonic sextad to Tutonic hexad: "Sextad" isn't the usual word for a 6-note chord

← Older revision	Revision as of 20:51, 20 April 2023
(No difference)

Fredg999 category edits: Moving from Category:Sextad to Category:Hexad using Cat-a-lot

2023-04-20T20:50:25Z

Moving from Category:Sextad to Category:Hexad using Cat-a-lot

← Older revision		Revision as of 20:50, 20 April 2023
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	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
	[[Category:~~Sextad~~]]		[[Category:Hexad]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:Tutone]]		[[Category:Tutone]]
	[[Category:Tutonic]]		[[Category:Tutonic]]
	The '''tutonic [[sextad]]''' is an [[essentially tempered chord]] of the [[tutone]] temperament, which is every other member of the [[generator]] chain of [[11-limit]] [[meantone]] ([[Huygens]]). This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {[[81/80]], [[99/98]], [[126/125]]}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.		The '''tutonic [[sextad]]''' is an [[essentially tempered chord]] of the [[tutone]] temperament, which is every other member of the [[generator]] chain of [[11-limit]] [[meantone]] ([[Huygens]]). This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {[[81/80]], [[99/98]], [[126/125]]}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.

BudjarnLambeth: Added links (as requested by the to:do notice)

2023-04-20T08:05:36Z

Added links (as requested by the to:do notice)

← Older revision		Revision as of 08:05, 20 April 2023
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	The '''tutonic sextad''' is an [[essentially tempered chord]] of the [[tutone]] temperament, which is every other member of the generator chain of 11-limit meantone (Huygens.) This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {81/80, 99/98, 126/125}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.

	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
	[[Category:Sextad]]		[[Category:Sextad]]
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	[[Category:Tutone]]		[[Category:Tutone]]
	[[Category:Tutonic]]		[[Category:Tutonic]]
			The '''tutonic [[sextad]]''' is an [[essentially tempered chord]] of the [[tutone]] temperament, which is every other member of the [[generator]] chain of [[11-limit]] [[meantone]] ([[Huygens]]). This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {[[81/80]], [[99/98]], [[126/125]]}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.
	{~~{todo\|add_links}~~}

Xenwolf: recat

2021-05-20T08:38:34Z

recat

← Older revision		Revision as of 08:38, 20 May 2021
Line 1:		Line 1:
	The '''tutonic sextad''' is an [[essentially tempered chord]] of the [[tutone]] temperament, which is every other member of the generator chain of 11-limit meantone (Huygens.) This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {81/80, 99/98, 126/125}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.		The '''tutonic sextad''' is an [[essentially tempered chord]] of the [[tutone]] temperament, which is every other member of the generator chain of 11-limit meantone (Huygens.) This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {81/80, 99/98, 126/125}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.

	[[Category:11-limit]]		[[Category:11-odd-limit]]
	[[Category:Sextad]]		[[Category:Sextad]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]

Xenwolf: simplify links,+cat

2021-05-20T07:17:00Z

simplify links,+cat

← Older revision		Revision as of 07:17, 20 May 2021
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	The ''tutonic sextad'' is an [[~~Dyadic_chord\|~~essentially tempered chord]] of the [[~~Chromatic_pairs#Tutone\|~~tutone]] temperament, which is every other member of the generator chain of 11-limit meantone (Huygens.) This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {81/80, 99/98, 126/125}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.		The '''tutonic sextad''' is an [[essentially tempered chord]] of the [[tutone]] temperament, which is every other member of the generator chain of 11-limit meantone (Huygens.) This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {81/80, 99/98, 126/125}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.

	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:~~sextad~~]]		[[Category:Sextad]]
	[[Category:~~todo:add_links~~]]		[[Category:Essentially tempered chords]]
	[[Category:~~tutone~~]]		[[Category:Tutone]]
	[[Category:~~tutonic~~]]		[[Category:Tutonic]]

			{{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>~~		The ''tutonic sextad'' is an [[Dyadic_chord\|essentially tempered chord]] of the [[Chromatic_pairs#Tutone\|tutone]] temperament, which is every other member of the generator chain of 11-limit meantone (Huygens.) This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {81/80, 99/98, 126/125}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~		[[Category:11-limit]]
	~~: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-09-16 20:04:41 UTC</tt>.<br>~~		[[Category:sextad]]
	~~: The original revision id was <tt>254927932</tt>.<br>~~		[[Category:todo:add_links]]
	: The ~~revision comment was: <tt></tt><br>~~		[[Category:tutone]]
	~~The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>~~		[[Category:tutonic]]
	~~<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">The //tutonic sextad// is an [[~~Dyadic chord~~\|essentially tempered chord]] of the [[~~http://xenharmonic.wikispaces.com/Chromatic+pairs~~#Tutone\|tutone]] temperament, which is every other member of the generator chain of 11-limit meantone (Huygens.) This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {81/80, 99/98, 126/125}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.~~</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>~~tutonic sextad</title></head><body>The <em>tutonic sextad</em> is an <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chord</a> of the <a href="http://xenharmonic.wikispaces.com/Chromatic+pairs#Tutone">tutone</a> temperament, which is every other member of the generator chain of 11-limit meantone (Huygens.) This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {81/80, 99/98, 126/125}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.</body></html></pre></div>