Hecate hexad - Revision history

FloraC: Recategorize

2023-05-23T12:15:12Z

Recategorize

← Older revision		Revision as of 12:15, 23 May 2023
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	[[Category:Marvel]]		[[Category:Marvel]]
	[[Category:Hecate]]		[[Category:Hecate]]
	[[Category:~~Hexad~~]]		[[Category:Hexads]]

FloraC: Recategorize

2023-04-28T06:54:01Z

Recategorize

← Older revision		Revision as of 06:54, 28 April 2023
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	See [[hecatehex]] for the chord in Scala file.		See [[hecatehex]] for the chord in Scala file.

	[[Category:~~Chords~~]]		[[Category:Essentially tempered chords]]
	[[Category:Marvel]]		[[Category:Marvel]]
	[[Category:Hecate]]		[[Category:Hecate]]
	[[Category:Hexad]]		[[Category:Hexad]]

FloraC: -redundant category

2023-04-28T06:53:39Z

-redundant category

← Older revision		Revision as of 06:53, 28 April 2023
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	[[Category:Chords]]		[[Category:Chords]]
	~~[[Category:Dyadic]]~~
	[[Category:Marvel]]		[[Category:Marvel]]
	[[Category:Hecate]]		[[Category:Hecate]]
	[[Category:Hexad]]		[[Category:Hexad]]

FloraC: +link; +category

2021-02-23T12:50:02Z

+link; +category

← Older revision		Revision as of 12:50, 23 February 2021
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	The '''hecate hexad''', an [[Dyadic chord\|essentially tempered chord]], is the 1-[[9/8]]-[[5/4]]-[[7/5]]-[[14/9]]-[[7/4]] chord, tempered in the [[Marvel family#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-[[10/9]]-9/8-10/9-9/8-[[8/7]]. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note [[Euler genus]] consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 [[octave reduction\|reduced to an octave]], gives a scale with two hecate hexads a fifth apart.		The '''hecate hexad''', an [[Dyadic chord\|essentially tempered chord]], is the 1-[[9/8]]-[[5/4]]-[[7/5]]-[[14/9]]-[[7/4]] chord, tempered in the [[Marvel family #Hecate\|hecate]] ({[[225/224]], [[385/384]], [[325/324]]}) temperament, which makes the steps of the scale 9/8-[[10/9]]-9/8-10/9-9/8-[[8/7]]. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note [[Euler genus]] consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 [[octave reduction\|reduced to an octave]], gives a scale with two hecate hexads a fifth apart.

			See [[hecatehex]] for the chord in Scala file.

	[[Category:Chords]]		[[Category:Chords]]
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Marvel]]		[[Category:Marvel]]
			[[Category:Hecate]]
	[[Category:Hexad]]		[[Category:Hexad]]

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

2019-06-30T00:37:34Z

top: re-categorisation (AWB)

← Older revision		Revision as of 00:37, 30 June 2019
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	The '''hecate hexad''', an [[Dyadic chord\|essentially tempered chord]], is the 1-[[9/8]]-[[5/4]]-[[7/5]]-[[14/9]]-[[7/4]] chord, tempered in the [[Marvel family#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-[[10/9]]-9/8-10/9-9/8-[[8/7]]. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[~~marvel_triad\|~~marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note [[Euler genus]] consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 [[octave reduction\|reduced to an octave]], gives a scale with two hecate hexads a fifth apart.		The '''hecate hexad''', an [[Dyadic chord\|essentially tempered chord]], is the 1-[[9/8]]-[[5/4]]-[[7/5]]-[[14/9]]-[[7/4]] chord, tempered in the [[Marvel family#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-[[10/9]]-9/8-10/9-9/8-[[8/7]]. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note [[Euler genus]] consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 [[octave reduction\|reduced to an octave]], gives a scale with two hecate hexads a fifth apart.

	[[Category:~~Chord~~]]		[[Category:Chords]]
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Marvel]]		[[Category:Marvel]]
	[[Category:Hexad]]		[[Category:Hexad]]

Xenwolf: added links and categories

2018-10-25T09:44:37Z

added links and categories

← Older revision		Revision as of 09:44, 25 October 2018
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	The hecate hexad an [[~~Dyadic_chord~~\|essentially tempered chord]], is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the [[~~Marvel_family~~#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[marvel_triad\|marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a fifth apart.		The '''hecate hexad''', an [[Dyadic chord\|essentially tempered chord]], is the 1-[[9/8]]-[[5/4]]-[[7/5]]-[[14/9]]-[[7/4]] chord, tempered in the [[Marvel family#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-[[10/9]]-9/8-10/9-9/8-[[8/7]]. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[marvel_triad\|marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note [[Euler genus]] consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 [[octave reduction\|reduced to an octave]], gives a scale with two hecate hexads a fifth apart.

			[[Category:Chord]]
			[[Category:Dyadic]]
			[[Category:Marvel]]
			[[Category:Hexad]]

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 hecate hexad an [[Dyadic_chord\|essentially tempered chord]], is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the [[Marvel_family#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[marvel_triad\|marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a fifth apart.
	~~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>2013-01-07 16:22:08 UTC</tt>.<br>~~
	~~: The original revision id was <tt>396479010</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">The hecate hexad an [[~~Dyadic chord~~\|essentially tempered chord]], is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the [[~~Marvel family~~#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a fifth apart.
	~~</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>hecate hexad</title></head><body>The hecate hexad an <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chord</a>, is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the <a class="wiki_link" href="/Marvel%20family#Hecate">hecate</a> ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two <a class="wiki_link" href="/marvel%20triad">marvel triad</a>s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a fifth apart.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 396479010 - Original comment:

2013-01-07T16:22:08Z

**Imported revision 396479010 - Original comment: **

← Older revision		Revision as of 16:22, 7 January 2013
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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>~~2011~~-10-~~28 01~~:35:43 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2013-01-07 16:22:08 UTC</tt>.<br>
	: The original revision id was <tt>~~269472878~~</tt>.<br>		: The original revision id was <tt>396479010</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>
	<h4>Original Wikitext content:</h4>		<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 hecate hexad ~~is a~~ [[Dyadic chord\|essentially tempered chord]] is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the [[Marvel family#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a fifth apart.		<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 hecate hexad an [[Dyadic chord\|essentially tempered chord]], is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the [[Marvel family#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a fifth apart.
	</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>hecate hexad</title></head><body>The hecate hexad ~~is a~~ <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chord</a> is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the <a class="wiki_link" href="/Marvel%20family#Hecate">hecate</a> ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two <a class="wiki_link" href="/marvel%20triad">marvel triad</a>s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a fifth apart.</body></html></pre></div>		<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>hecate hexad</title></head><body>The hecate hexad an <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chord</a>, is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the <a class="wiki_link" href="/Marvel%20family#Hecate">hecate</a> ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two <a class="wiki_link" href="/marvel%20triad">marvel triad</a>s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a fifth apart.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 269472878 - Original comment:

2011-10-28T01:35:43Z

**Imported revision 269472878 - Original comment: **

← Older revision		Revision as of 01:35, 28 October 2011
Line 1:		Line 1:
	<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>2011-10-28 01:30:39 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-10-28 01:35:43 UTC</tt>.<br>
	: The original revision id was <tt>~~269472408~~</tt>.<br>		: The original revision id was <tt>269472878</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>
	<h4>Original Wikitext content:</h4>		<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 hecate hexad is a [[Dyadic chord\|essentially tempered chord]] is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the [[Marvel family#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a ~~major whole tone~~ apart.		<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 hecate hexad is a [[Dyadic chord\|essentially tempered chord]] is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the [[Marvel family#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a fifth apart.
	</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>hecate hexad</title></head><body>The hecate hexad is a <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chord</a> is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the <a class="wiki_link" href="/Marvel%20family#Hecate">hecate</a> ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two <a class="wiki_link" href="/marvel%20triad">marvel triad</a>s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a ~~major whole tone~~ apart.</body></html></pre></div>		<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>hecate hexad</title></head><body>The hecate hexad is a <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chord</a> is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the <a class="wiki_link" href="/Marvel%20family#Hecate">hecate</a> ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two <a class="wiki_link" href="/marvel%20triad">marvel triad</a>s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a fifth apart.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 269472408 - Original comment:

2011-10-28T01:30:39Z

**Imported revision 269472408 - Original comment: **

← Older revision		Revision as of 01:30, 28 October 2011
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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>2011-10-28 01:28:39 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-10-28 01:30:39 UTC</tt>.<br>
	: The original revision id was <tt>~~269472232~~</tt>.<br>		: The original revision id was <tt>269472408</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>
	<h4>Original Wikitext content:</h4>		<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 hecate hexad is a [[Dyadic chord\|essentially tempered chord]] is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the [[Marvel family#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of		<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 hecate hexad is a [[Dyadic chord\|essentially tempered chord]] is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the [[Marvel family#Hecate\|hecate]] ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two [[marvel triad]]s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a major whole tone apart.
	two [[marvel ~~triads~~]] separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave.
	</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>hecate hexad</title></head><body>The hecate hexad is a <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chord</a> is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the <a class="wiki_link" href="/Marvel%20family#Hecate">hecate</a> ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of~~<br />~~		<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>hecate hexad</title></head><body>The hecate hexad is a <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chord</a> is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the <a class="wiki_link" href="/Marvel%20family#Hecate">hecate</a> ({225/224, 385/384, 325/324}) temperament, which makes the steps of the scale 9/8-10/9-9/8-10/9-9/8-8/7. Another way of viewing the hecate hexad is that it is the hecate tempering of two <a class="wiki_link" href="/marvel%20triad">marvel triad</a>s separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave, gives a scale with two hecate hexads a major whole tone apart.</body></html></pre></div>
	two <a class="wiki_link" href="/marvel%~~20triads~~">marvel ~~triads~~</a> separated by an interval of 9/8. This can be filled in with a third augmented triad at the fifth, leading to the hecate tempering of the nine-note Euler genus consisting of divisors of 225, reduced to an octave. Extending this to the marveldene, the hecate-tempered Ellis duodene which is the hecate tempering of the divisors of 675 reduced to an octave.</body></html></pre></div>

Hecate hexad - Revision history

FloraC: Recategorize

FloraC: Recategorize

FloraC: -redundant category

FloraC: +link; +category

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

Xenwolf: added links and categories

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>genewardsmith: **Imported revision 396479010 - Original comment: **

Wikispaces>genewardsmith: **Imported revision 269472878 - Original comment: **

Wikispaces>genewardsmith: **Imported revision 269472408 - Original comment: **

Wikispaces>genewardsmith: Imported revision 396479010 - Original comment:

Wikispaces>genewardsmith: Imported revision 269472878 - Original comment:

Wikispaces>genewardsmith: Imported revision 269472408 - Original comment: