Hecate hexad: Difference between revisions

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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]]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.  
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>
See [[hecatehex]] for the chord in Scala file.
: The original revision id was <tt>269472408</tt>.<br>
 
: The revision comment was: <tt></tt><br>
[[Category:Essentially tempered chords]]
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
[[Category:Marvel]]
<h4>Original Wikitext content:</h4>
[[Category:Hecate]]
<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.
[[Category:Hexads]]
</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;hecate hexad&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The hecate hexad is a &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;essentially tempered chord&lt;/a&gt; is the 1-9/8-5/4-7/5-14/9-7/4 chord, tempered in the &lt;a class="wiki_link" href="/Marvel%20family#Hecate"&gt;hecate&lt;/a&gt; ({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 &lt;a class="wiki_link" href="/marvel%20triad"&gt;marvel triad&lt;/a&gt;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.&lt;/body&gt;&lt;/html&gt;</pre></div>