Fokker chord - Revision history

Fredg999: Reword definition, markup, update links

2025-07-28T19:06:40Z

Reword definition, markup, update links

← Older revision		Revision as of 19:06, 28 July 2025
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	__FORCETOC__~~{{Todo\|expand\|inline=1\|text=Explain "~~arena", ~~remove wedgies}}~~		__FORCETOC__
			A '''Fokker chord''' is a chord which is also a strong [[Fokker block]]. Such chords belong to an [[arena]] of related chords, which includes its various inversions, but other chords besides. Often a Fokker chord is a [[wakalix]], so that it belongs to more than one arena.

	~~A ''~~Fokker ~~chord'' is a chord which is also a strongly epimorphic~~ [[~~Fokker block~~]]~~. Such chords belong to an~~ [[~~Fokker_blocks#First definition of a Fokker block\|arena~~]] of ~~related chords~~, ~~which includes~~ its ~~various~~ inversions, ~~but other chords besides. Often a Fokker chord is a wakalix~~, ~~so that it belongs to more than one arena~~.		== 5-limit triads ==
			The major and minor 5-limit triads are wakalixes; in terms of the [[Mathematical theory of Fokker blocks#The fb function and modal UDP notation\|Fokblock function]] the major triad in root position can be denoted by Fokblock([16/15, 10/9], [0, 1]), Fokblock([[25/24, 10/9], [2, 0]) or Fokblock([25/24, 16/15], [1, 0]) and the minor triad Fokblock([16/15, 10/9], [1, 0]), Fokblock([25/24, 10/9], [1, 0]), or Fokblock([25/24, 16/15], [0, 0]). Each of these arenas contain the three inversions of both the major and minor triads, plus the inversions of another triad. In the case of the [16/15, 10/9] arena, that's the qunital triad, in its quintal (1-9/8-3/2) and quartal (1-4/3-16/9) forms. [25/24, 10/9] adds the three inversions of the diminished triad, 1-6/5-5/3, and [25/24, 16/15] adds the three inversions of the augmented triad, 1-5/4-8/5.

	=5-limit ~~triads~~=		== 7-limit tetrads ==
	~~The major and minor 5-limit triads are wakalixes; in terms of the [[Fokker_blocks#The Fokblock function and modal UDP notation~~\|~~Fokblock function]] the major triad in root position can be denoted by Fokblock([16/15, 10/9], [0,~~ 1]), Fokblock([[25/24, 10/9], [2, 0]) or Fokblock([25/24, 16/15], [1, 0]) and the minor triad Fokblock([16/15, 10/9], [1, 0]), Fokblock([25/24, 10/9], [1, 0]), or Fokblock([25/24, 16/15], [0, 0]). Each of these arenas contain the three inversions of both the major and minor triads, plus the inversions of another triad. In the case of the [16/15, 10/9] arena, that's the qunital triad, in its quintal (1-9/8-3/2) and quartal (1-4/3-16/9) forms. [25/24, 10/9] adds the three inversions of the diminished triad, 1-6/5-5/3, and [25/24, 16/15] adds the three inversions of the augmented triad, 1-5/4-8/5.		{{Todo\|rework\|inline=1\|text=Replace wedgies}}

	~~=7-limit tetrads=~~
	The major (otonal) and minor (utonal) 7-limit tetrads are Fokker blocks in eight different ways. In the table below, the chromas defining each of these arenas are listed in the first columns, and the offsets giving the otonal and utonal tetrads in the second. Hence, from the first row, we can find that the otonal tetrad is Fokblock([21/20, 15/14, 35/32], [2, 2, 2] ) and the utonal tetrad is Fokblock([21/20, 15/14, 35/32], [3, 3, 0]). The dual Fokker group basis is given in the last column in abbreviated form. Each number corresponds to a patent val, and that val, wedged with the patent val for four, gives the Fokker group element. Hence in the first row, 1, 3, 2 is shorthand for 1&4, 3&4, 2&4, and these denote the wedgies <<2 -1 1 -6 -4 5\|\|, <<2 1 -1 -3 -7 -5\|\|, <<0 2 2 3 3 -1\|\|.		The major (otonal) and minor (utonal) 7-limit tetrads are Fokker blocks in eight different ways. In the table below, the chromas defining each of these arenas are listed in the first columns, and the offsets giving the otonal and utonal tetrads in the second. Hence, from the first row, we can find that the otonal tetrad is Fokblock([21/20, 15/14, 35/32], [2, 2, 2] ) and the utonal tetrad is Fokblock([21/20, 15/14, 35/32], [3, 3, 0]). The dual Fokker group basis is given in the last column in abbreviated form. Each number corresponds to a patent val, and that val, wedged with the patent val for four, gives the Fokker group element. Hence in the first row, 1, 3, 2 is shorthand for 1&4, 3&4, 2&4, and these denote the wedgies <<2 -1 1 -6 -4 5\|\|, <<2 1 -1 -3 -7 -5\|\|, <<0 2 2 3 3 -1\|\|.

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	\|}		\|}

	The eight overlapping but not identical arenas above contain a total of 54 ~~domes~~. Of these six are chords of 9-limit just intonation: the major tetrad, 1-5/4-3/2-7/4, the minor tetrad, 1-6/5-3/2-12/7, the supermajor tetrad, 1-9/7-3/2-9/5, the subminor tetrad, 1-7/6-3/2-5/3, the added sixth tetrad, 1-5/4-3/2-5/3, and the swiss tetrad, 1-7/6-3/2-7/4. In the 15-limit we may add 1-5/4-3/2-15/8. They also contain a number of essentially tempered tetrads.		The eight overlapping but not identical arenas above contain a total of 54 [[dome]]s. Of these six are chords of 9-[[odd-limit]] just intonation: the major tetrad, 1-5/4-3/2-7/4, the minor tetrad, 1-6/5-3/2-12/7, the supermajor tetrad, 1-9/7-3/2-9/5, the subminor tetrad, 1-7/6-3/2-5/3, the added sixth tetrad, 1-5/4-3/2-5/3, and the swiss tetrad, 1-7/6-3/2-7/4. In the 15-odd-limit we may add 1-5/4-3/2-15/8. They also contain a number of [[essentially tempered chord\|essentially tempered tetrads]].

	7-limit marvel (225/224): 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5		7-limit marvel (225/224): 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5
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	orwell: 1-7/6-7/5-12/7, 1-7/6-10/7-12/7, {1-5/4-35/24-12/7, 1-7/6-48/35-12/7, 1-7/6-35/24-12/7, 1-7/6-49/36-12/7}		orwell: 1-7/6-7/5-12/7, 1-7/6-10/7-12/7, {1-5/4-35/24-12/7, 1-7/6-48/35-12/7, 1-7/6-35/24-12/7, 1-7/6-49/36-12/7}

	[[Category:Fokker block]]		[[Category:Fokker block]]
	[[Category:Wakalixes]]		[[Category:Wakalixes]]

VectorGraphics: Rewrote the first sentence in more natural English

2025-03-23T18:27:14Z

Rewrote the first sentence in more natural English

← Older revision		Revision as of 18:27, 23 March 2025
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	__FORCETOC__		__FORCETOC__{{Todo\|expand\|inline=1\|text=Explain "arena", remove wedgies}}
	~~By a~~ ''Fokker chord'' is ~~meant~~ a chord which is also a strongly epimorphic [[Fokker block]]. Such chords belong to an [[Fokker_blocks#First definition of a Fokker block\|arena]] of related chords, which includes its various inversions, but other chords besides. Often a Fokker chord is a wakalix, so that it belongs to more than one arena.
			A ''Fokker chord'' is a chord which is also a strongly epimorphic [[Fokker block]]. Such chords belong to an [[Fokker_blocks#First definition of a Fokker block\|arena]] of related chords, which includes its various inversions, but other chords besides. Often a Fokker chord is a wakalix, so that it belongs to more than one arena.

	=5-limit triads=		=5-limit triads=

BudjarnLambeth: Link to Fokker block

2024-09-18T23:32:58Z

Link to Fokker block

← Older revision		Revision as of 23:32, 18 September 2024
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	__FORCETOC__		__FORCETOC__
	By a ''Fokker chord'' is meant a chord which is also a strongly epimorphic Fokker block. Such chords belong to an [[Fokker_blocks#First definition of a Fokker block\|arena]] of related chords, which includes its various inversions, but other chords besides. Often a Fokker chord is a wakalix, so that it belongs to more than one arena.		By a ''Fokker chord'' is meant a chord which is also a strongly epimorphic [[Fokker block]]. Such chords belong to an [[Fokker_blocks#First definition of a Fokker block\|arena]] of related chords, which includes its various inversions, but other chords besides. Often a Fokker chord is a wakalix, so that it belongs to more than one arena.

	=5-limit triads=		=5-limit triads=

BudjarnLambeth: Categories

2023-04-25T10:55:26Z

BudjarnLambeth: Noticed this page was uncategorised, so I added it to a few possibly relevant categories

2023-04-23T10:50:00Z

Noticed this page was uncategorised, so I added it to a few possibly relevant categories

← Older revision		Revision as of 10:50, 23 April 2023
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	orwell: 1-7/6-7/5-12/7, 1-7/6-10/7-12/7, {1-5/4-35/24-12/7, 1-7/6-48/35-12/7, 1-7/6-35/24-12/7, 1-7/6-49/36-12/7}		orwell: 1-7/6-7/5-12/7, 1-7/6-10/7-12/7, {1-5/4-35/24-12/7, 1-7/6-48/35-12/7, 1-7/6-35/24-12/7, 1-7/6-49/36-12/7}
			[[Category:Fokker block]]
			[[Category:Wakalixes]]
			[[Category:Chords]]
			[[Category:Lists]]
			[[Category:5-limit]]
			[[Category:7-limit]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>genewardsmith: Imported revision 500856780 - Original comment:

2014-04-06T14:22:35Z

**Imported revision 500856780 - Original comment: **

← Older revision		Revision as of 14:22, 6 April 2014
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		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>2014-04-~~05 13~~:24:33 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2014-04-06 14:22:35 UTC</tt>.<br>
	: The original revision id was <tt>~~500735786~~</tt>.<br>		: The original revision id was <tt>500856780</tt>.<br>
	: The revision comment was: <tt></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>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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	zeus: 1-5/4-35/24-8/5, 1-5/4-25/16-12/7, 1-6/5-35/24-7/4		zeus: 1-5/4-35/24-8/5, 1-5/4-25/16-12/7, 1-6/5-35/24-7/4
	minerva: 1-7/6-3/2-12/7, 1-9/7-3/2-7/4, 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5		minerva: 1-7/6-3/2-12/7, 1-9/7-3/2-7/4, 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5
	</pre></div>		jove: 1-7/6-10/7-7/4, 1-8/7-7/5-12/7
			orwell: 1-7/6-7/5-12/7, 1-7/6-10/7-12/7, {1-5/4-35/24-12/7, 1-7/6-48/35-12/7, 1-7/6-35/24-12/7, 1-7/6-49/36-12/7}</pre></div>
	<h4>Original HTML content:</h4>		<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>Fokker chord</title></head><body><!-- ws:start:WikiTextTocRule:4:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:4 --><!-- ws:start:WikiTextTocRule:5: --><a href="#x5-limit triads">5-limit triads</a><!-- ws:end:WikiTextTocRule:5 --><!-- ws:start:WikiTextTocRule:6: --> \| <a href="#x7-limit tetrads">7-limit tetrads</a><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: -->		<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>Fokker chord</title></head><body><!-- ws:start:WikiTextTocRule:4:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:4 --><!-- ws:start:WikiTextTocRule:5: --><a href="#x5-limit triads">5-limit triads</a><!-- ws:end:WikiTextTocRule:5 --><!-- ws:start:WikiTextTocRule:6: --> \| <a href="#x7-limit tetrads">7-limit tetrads</a><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: -->
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	swetismic (540/539): 1-6/5-7/5-12/7<br />		swetismic (540/539): 1-6/5-7/5-12/7<br />
	zeus: 1-5/4-35/24-8/5, 1-5/4-25/16-12/7, 1-6/5-35/24-7/4<br />		zeus: 1-5/4-35/24-8/5, 1-5/4-25/16-12/7, 1-6/5-35/24-7/4<br />
	minerva: 1-7/6-3/2-12/7, 1-9/7-3/2-7/4, 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5</body></html></pre></div>		minerva: 1-7/6-3/2-12/7, 1-9/7-3/2-7/4, 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5<br />
			jove: 1-7/6-10/7-7/4, 1-8/7-7/5-12/7<br />
			orwell: 1-7/6-7/5-12/7, 1-7/6-10/7-12/7, {1-5/4-35/24-12/7, 1-7/6-48/35-12/7, 1-7/6-35/24-12/7, 1-7/6-49/36-12/7}</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 500735786 - Original comment:

2014-04-05T13:24:33Z

**Imported revision 500735786 - Original comment: **

← Older revision		Revision as of 13:24, 5 April 2014
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		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>2014-04-~~04 08~~:26:43 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2014-04-05 13:24:33 UTC</tt>.<br>
	: The original revision id was <tt>~~500541484~~</tt>.<br>		: The original revision id was <tt>500735786</tt>.<br>
	: The revision comment was: <tt></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>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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	keenanismic (385/384): 1-5/4-3/2-12/7, 1-6/5-3/2-7/4, 1-6/5-7/5-7/4, 1-7/6-7/5-8/5, 1-7/6-35/24-8/5, 1-8/7-35/24-5/3		keenanismic (385/384): 1-5/4-3/2-12/7, 1-6/5-3/2-7/4, 1-6/5-7/5-7/4, 1-7/6-7/5-8/5, 1-7/6-35/24-8/5, 1-8/7-35/24-5/3
	werckismic (441/440): 1-5/4-10/7-7/4		werckismic (441/440): 1-5/4-10/7-7/4
	swetismic (540/539): 1-6/5-7/5-12/7</pre></div>		swetismic (540/539): 1-6/5-7/5-12/7
			zeus: 1-5/4-35/24-8/5, 1-5/4-25/16-12/7, 1-6/5-35/24-7/4
			minerva: 1-7/6-3/2-12/7, 1-9/7-3/2-7/4, 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5
			</pre></div>
	<h4>Original HTML content:</h4>		<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>Fokker chord</title></head><body><!-- ws:start:WikiTextTocRule:4:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:4 --><!-- ws:start:WikiTextTocRule:5: --><a href="#x5-limit triads">5-limit triads</a><!-- ws:end:WikiTextTocRule:5 --><!-- ws:start:WikiTextTocRule:6: --> \| <a href="#x7-limit tetrads">7-limit tetrads</a><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: -->		<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>Fokker chord</title></head><body><!-- ws:start:WikiTextTocRule:4:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:4 --><!-- ws:start:WikiTextTocRule:5: --><a href="#x5-limit triads">5-limit triads</a><!-- ws:end:WikiTextTocRule:5 --><!-- ws:start:WikiTextTocRule:6: --> \| <a href="#x7-limit tetrads">7-limit tetrads</a><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: -->
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	keenanismic (385/384): 1-5/4-3/2-12/7, 1-6/5-3/2-7/4, 1-6/5-7/5-7/4, 1-7/6-7/5-8/5, 1-7/6-35/24-8/5, 1-8/7-35/24-5/3<br />		keenanismic (385/384): 1-5/4-3/2-12/7, 1-6/5-3/2-7/4, 1-6/5-7/5-7/4, 1-7/6-7/5-8/5, 1-7/6-35/24-8/5, 1-8/7-35/24-5/3<br />
	werckismic (441/440): 1-5/4-10/7-7/4<br />		werckismic (441/440): 1-5/4-10/7-7/4<br />
	swetismic (540/539): 1-6/5-7/5-12/7</body></html></pre></div>		swetismic (540/539): 1-6/5-7/5-12/7<br />
			zeus: 1-5/4-35/24-8/5, 1-5/4-25/16-12/7, 1-6/5-35/24-7/4<br />
			minerva: 1-7/6-3/2-12/7, 1-9/7-3/2-7/4, 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 500541484 - Original comment:

2014-04-04T08:26:43Z

**Imported revision 500541484 - Original comment: **

Wikispaces>genewardsmith: Imported revision 500540184 - Original comment:

2014-04-04T08:19:31Z

**Imported revision 500540184 - Original comment: **

← Older revision		Revision as of 08:19, 4 April 2014
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		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>2014-04-04 08:12:22 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2014-04-04 08:19:31 UTC</tt>.<br>
	: The original revision id was <tt>~~500538874~~</tt>.<br>		: The original revision id was <tt>500540184</tt>.<br>
	: The revision comment was: <tt></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>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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	\|\| [49/48, 36/35, 15/14] \|\| [3, 2, 3] \|\| [2, 3, 2] \|\| 7, 1, 5 \|\|		\|\| [49/48, 36/35, 15/14] \|\| [3, 2, 3] \|\| [2, 3, 2] \|\| 7, 1, 5 \|\|

	The eight overlapping but not identical arenas above contain a total of 54 domes. Of these six are chords of 9-limit just intonation: the major tetrad, 1-5/4-3/2-7/4, the minor tetrad, 1-6/5-3/2-12/7, the supermajor tetrad, 1-9/7-3/2-9/5, the subminor tetrad, 1-7/6-3/2-5/3, the added sixth tetrad, 1-5/4-3/2-5/3, and the swiss tetrad, 1-7/6-3/2-7/4. They also contain a number of essentially tempered tetrads.		The eight overlapping but not identical arenas above contain a total of 54 domes. Of these six are chords of 9-limit just intonation: the major tetrad, 1-5/4-3/2-7/4, the minor tetrad, 1-6/5-3/2-12/7, the supermajor tetrad, 1-9/7-3/2-9/5, the subminor tetrad, 1-7/6-3/2-5/3, the added sixth tetrad, 1-5/4-3/2-5/3, and the swiss tetrad, 1-7/6-3/2-7/4. In the 15-limit we may add 1-5/4-3/2-15/8. They also contain a number of essentially tempered tetrads.

	7-limit marvel (225/224): 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5		7-limit marvel (225/224): 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5
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	<br />		<br />
	The eight overlapping but not identical arenas above contain a total of 54 domes. Of these six are chords of 9-limit just intonation: the major tetrad, 1-5/4-3/2-7/4, the minor tetrad, 1-6/5-3/2-12/7, the supermajor tetrad, 1-9/7-3/2-9/5, the subminor tetrad, 1-7/6-3/2-5/3, the added sixth tetrad, 1-5/4-3/2-5/3, and the swiss tetrad, 1-7/6-3/2-7/4. They also contain a number of essentially tempered tetrads.<br />		The eight overlapping but not identical arenas above contain a total of 54 domes. Of these six are chords of 9-limit just intonation: the major tetrad, 1-5/4-3/2-7/4, the minor tetrad, 1-6/5-3/2-12/7, the supermajor tetrad, 1-9/7-3/2-9/5, the subminor tetrad, 1-7/6-3/2-5/3, the added sixth tetrad, 1-5/4-3/2-5/3, and the swiss tetrad, 1-7/6-3/2-7/4. In the 15-limit we may add 1-5/4-3/2-15/8. They also contain a number of essentially tempered tetrads.<br />
	<br />		<br />
	7-limit marvel (225/224): 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5<br />		7-limit marvel (225/224): 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5<br />

← Older revision		Revision as of 10:55, 25 April 2023
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	[[Category:Fokker block]]		[[Category:Fokker block]]
	[[Category:Wakalixes]]		[[Category:Wakalixes]]
			[[Category:Lists of chords]]
	[[Category:Chords]]		[[Category:Chords]]
	~~[[Category:Lists]]~~
	[[Category:5-limit]]		[[Category:5-limit]]
	[[Category:7-limit]]		[[Category:7-limit]]

← Older revision		Revision as of 08:26, 4 April 2014
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		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>2014-04-04 08:19:31 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2014-04-04 08:26:43 UTC</tt>.<br>
	: The original revision id was <tt>~~500540184~~</tt>.<br>		: The original revision id was <tt>500541484</tt>.<br>
	: The revision comment was: <tt></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>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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	7-limit marvel (225/224): 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5		7-limit marvel (225/224): 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5
	7-limit starling (126/125): 1-5/4-7/5-7/4, 1-5/4-3/2-9/5, 1-6/5-3/2-5/3, 1-5/4-7/5-5/3-2, 1-6/5-10/7-8/5		7-limit starling (126/125): 1-5/4-3/2-9/5, 1-5/4-7/5-5/3, 1-5/4-7/5-7/4, 1-6/5-3/2-5/3, 1-6/5-10/7-8/5
	diminished {1-6/5-10/7-5/3, 1-6/5-7/5-5/3, 1-6/5-25/18-5/3, 1-7/6-7/5-5/3}		diminished {1-6/5-10/7-5/3, 1-6/5-7/5-5/3, 1-6/5-25/18-5/3, 1-7/6-7/5-5/3}
	keenanismic (385/384): 1-5/4-3/2-12/7, 1-6/5-3/2-7/4, 1-6/5-7/5-7/4, 1-7/6-7/5-8/5, 1-7/6-35/24-8/5, 1-8/7-35/24-5/3		keenanismic (385/384): 1-5/4-3/2-12/7, 1-6/5-3/2-7/4, 1-6/5-7/5-7/4, 1-7/6-7/5-8/5, 1-7/6-35/24-8/5, 1-8/7-35/24-5/3
	werckismic (441/440): 1-5/4-10/7-7/4		werckismic (441/440): 1-5/4-10/7-7/4
	swetismic (540/539): 1-6/5-7/5-12/7		swetismic (540/539): 1-6/5-7/5-12/7</pre></div>
	</pre></div>
	<h4>Original HTML content:</h4>		<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>Fokker chord</title></head><body><!-- ws:start:WikiTextTocRule:4:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:4 --><!-- ws:start:WikiTextTocRule:5: --><a href="#x5-limit triads">5-limit triads</a><!-- ws:end:WikiTextTocRule:5 --><!-- ws:start:WikiTextTocRule:6: --> \| <a href="#x7-limit tetrads">7-limit tetrads</a><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: -->		<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>Fokker chord</title></head><body><!-- ws:start:WikiTextTocRule:4:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:4 --><!-- ws:start:WikiTextTocRule:5: --><a href="#x5-limit triads">5-limit triads</a><!-- ws:end:WikiTextTocRule:5 --><!-- ws:start:WikiTextTocRule:6: --> \| <a href="#x7-limit tetrads">7-limit tetrads</a><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: -->
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	<br />		<br />
	7-limit marvel (225/224): 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5<br />		7-limit marvel (225/224): 1-5/4-7/5-7/4, 1-5/4-7/5-8/5, 1-5/4-10/7-8/5<br />
	7-limit starling (126/125): 1-5/4-7/5-7/4, 1-5/4-3/2-9/5, 1-6/5-3/2-5/3, 1-5/4-7/5-5/3-2, 1-6/5-10/7-8/5<br />		7-limit starling (126/125): 1-5/4-3/2-9/5, 1-5/4-7/5-5/3, 1-5/4-7/5-7/4, 1-6/5-3/2-5/3, 1-6/5-10/7-8/5<br />
	diminished {1-6/5-10/7-5/3, 1-6/5-7/5-5/3, 1-6/5-25/18-5/3, 1-7/6-7/5-5/3}<br />		diminished {1-6/5-10/7-5/3, 1-6/5-7/5-5/3, 1-6/5-25/18-5/3, 1-7/6-7/5-5/3}<br />
	keenanismic (385/384): 1-5/4-3/2-12/7, 1-6/5-3/2-7/4, 1-6/5-7/5-7/4, 1-7/6-7/5-8/5, 1-7/6-35/24-8/5, 1-8/7-35/24-5/3<br />		keenanismic (385/384): 1-5/4-3/2-12/7, 1-6/5-3/2-7/4, 1-6/5-7/5-7/4, 1-7/6-7/5-8/5, 1-7/6-35/24-8/5, 1-8/7-35/24-5/3<br />
	werckismic (441/440): 1-5/4-10/7-7/4<br />		werckismic (441/440): 1-5/4-10/7-7/4<br />
	swetismic (540/539): 1-6/5-7/5-12/7</body></html></pre></div>		swetismic (540/539): 1-6/5-7/5-12/7</body></html></pre></div>