Dyadic chord: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-01 16:40:34 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-01 17:40:13 UTC</tt>.<br>

: The original revision id was <tt>~~243776663~~</tt>.<br>

: The original revision id was <tt>243785129</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>

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=Anomalous Saturated Suspensions=

An //anomalous saturated suspension//, or ASS, is a term [[http://www.webcitation.org/60VBgPSUS|introduced]] by [[Graham Breed]] for a q-limit just dyadic chord to which no pitch q-limit pitch class can be added while keeping it in the q-limit, and which is neither an otonal or a utonal chord; that is, it is not contained as a subchord of either the 1:3:5: ... :q chord or the 1:1/3:1/5: ... :1/q chord. The existence of such chords was [[http://www.webcitation.org/60VCUHe6d|discovered]] by [[Paul Erlich]].

An //anomalous saturated suspension//, or ASS, is a term [[http://www.webcitation.org/60VBgPSUS|introduced]] by [[Graham Breed]] for a q-limit just dyadic chord to which no pitch q-limit pitch class can be added while keeping it in the q-limit, and which is neither an otonal or a utonal chord; that is, it is not contained as a subchord of either the 1:3:5: ... :q chord or the 1:1/3:1/5: ... :1/q chord. The existence of such chords was [[http://www.webcitation.org/60VCUHe6d|discovered]] by [[Paul Erlich]]. Below are listed two 9-limit ASSes of special interest, as they avoid intervals smaller than a minor whole tone.

[[just added sixth chord]]

[[swiss tetrad]]

=Essentially tempered dyadic chords=

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<br />

<h1 id="toc1"><a name="Anomalous Saturated Suspensions"></a>Anomalous Saturated Suspensions</h1>

An <em>anomalous saturated suspension</em>, or ASS, is a term <a class="wiki_link_ext" href="http://www.webcitation.org/60VBgPSUS" rel="nofollow">introduced</a> by <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a> for a q-limit just dyadic chord to which no pitch q-limit pitch class can be added while keeping it in the q-limit, and which is neither an otonal or a utonal chord; that is, it is not contained as a subchord of either the 1:3:5: ... :q chord or the 1:1/3:1/5: ... :1/q chord. The existence of such chords was <a class="wiki_link_ext" href="http://www.webcitation.org/60VCUHe6d" rel="nofollow">discovered</a> by <a class="wiki_link" href="/Paul%20Erlich">Paul Erlich</a>.<br />

An <em>anomalous saturated suspension</em>, or ASS, is a term <a class="wiki_link_ext" href="http://www.webcitation.org/60VBgPSUS" rel="nofollow">introduced</a> by <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a> for a q-limit just dyadic chord to which no pitch q-limit pitch class can be added while keeping it in the q-limit, and which is neither an otonal or a utonal chord; that is, it is not contained as a subchord of either the 1:3:5: ... :q chord or the 1:1/3:1/5: ... :1/q chord. The existence of such chords was <a class="wiki_link_ext" href="http://www.webcitation.org/60VCUHe6d" rel="nofollow">discovered</a> by <a class="wiki_link" href="/Paul%20Erlich">Paul Erlich</a>. Below are listed two 9-limit ASSes of special interest, as they avoid intervals smaller than a minor whole tone.<br />

<br />

<a class="wiki_link" href="/just%20added%20sixth%20chord">just added sixth chord</a><br />

<a class="wiki_link" href="/swiss%20tetrad">swiss tetrad</a><br />

<br />

<h1 id="toc2"><a name="Essentially tempered dyadic chords"></a>Essentially tempered dyadic chords</h1>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-08-01 16:40:34 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-01 17:40:13 UTC</tt>.<br>
-: The original revision id was <tt>243776663</tt>.<br>
+: The original revision id was <tt>243785129</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>
@@ Line 14: / Line 14: @@
 =Anomalous Saturated Suspensions=
-An //anomalous saturated suspension//, or ASS, is a term [[http://www.webcitation.org/60VBgPSUS|introduced]] by [[Graham Breed]] for a q-limit just dyadic chord to which no pitch q-limit pitch class can be added while keeping it in the q-limit, and which is neither an otonal or a utonal chord; that is, it is not contained as a subchord of either the 1:3:5: ... :q chord or the 1:1/3:1/5: ... :1/q chord. The existence of such chords was [[http://www.webcitation.org/60VCUHe6d|discovered]] by [[Paul Erlich]].
+An //anomalous saturated suspension//, or ASS, is a term [[http://www.webcitation.org/60VBgPSUS|introduced]] by [[Graham Breed]] for a q-limit just dyadic chord to which no pitch q-limit pitch class can be added while keeping it in the q-limit, and which is neither an otonal or a utonal chord; that is, it is not contained as a subchord of either the 1:3:5: ... :q chord or the 1:1/3:1/5: ... :1/q chord. The existence of such chords was [[http://www.webcitation.org/60VCUHe6d|discovered]] by [[Paul Erlich]]. Below are listed two 9-limit ASSes of special interest, as they avoid intervals smaller than a minor whole tone.
+[[just added sixth chord]]
+[[swiss tetrad]]
 =Essentially tempered dyadic chords=
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Anomalous Saturated Suspensions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Anomalous Saturated Suspensions&lt;/h1&gt;
-An &lt;em&gt;anomalous saturated suspension&lt;/em&gt;, or ASS, is a term &lt;a class="wiki_link_ext" href="http://www.webcitation.org/60VBgPSUS" rel="nofollow"&gt;introduced&lt;/a&gt; by &lt;a class="wiki_link" href="/Graham%20Breed"&gt;Graham Breed&lt;/a&gt; for a q-limit just dyadic chord to which no pitch q-limit pitch class can be added while keeping it in the q-limit, and which is neither an otonal or a utonal chord; that is, it is not contained as a subchord of either the 1:3:5: ... :q chord or the 1:1/3:1/5: ... :1/q chord. The existence of such chords was &lt;a class="wiki_link_ext" href="http://www.webcitation.org/60VCUHe6d" rel="nofollow"&gt;discovered&lt;/a&gt; by &lt;a class="wiki_link" href="/Paul%20Erlich"&gt;Paul Erlich&lt;/a&gt;.&lt;br /&gt;
+An &lt;em&gt;anomalous saturated suspension&lt;/em&gt;, or ASS, is a term &lt;a class="wiki_link_ext" href="http://www.webcitation.org/60VBgPSUS" rel="nofollow"&gt;introduced&lt;/a&gt; by &lt;a class="wiki_link" href="/Graham%20Breed"&gt;Graham Breed&lt;/a&gt; for a q-limit just dyadic chord to which no pitch q-limit pitch class can be added while keeping it in the q-limit, and which is neither an otonal or a utonal chord; that is, it is not contained as a subchord of either the 1:3:5: ... :q chord or the 1:1/3:1/5: ... :1/q chord. The existence of such chords was &lt;a class="wiki_link_ext" href="http://www.webcitation.org/60VCUHe6d" rel="nofollow"&gt;discovered&lt;/a&gt; by &lt;a class="wiki_link" href="/Paul%20Erlich"&gt;Paul Erlich&lt;/a&gt;. Below are listed two 9-limit ASSes of special interest, as they avoid intervals smaller than a minor whole tone.&lt;br /&gt;
+&lt;br /&gt;
+&lt;a class="wiki_link" href="/just%20added%20sixth%20chord"&gt;just added sixth chord&lt;/a&gt;&lt;br /&gt;
+&lt;a class="wiki_link" href="/swiss%20tetrad"&gt;swiss tetrad&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Essentially tempered dyadic chords"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Essentially tempered dyadic chords&lt;/h1&gt;