Harmonic series: Difference between revisions

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<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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-10-17 12:20:32 UTC</tt>.<br>

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-10-17 12:26:47 UTC</tt>.<br>

: The original revision id was <tt>~~95820656~~</tt>.<br>

: The original revision id was <tt>95821238</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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One might compose with the overtone series by, for instance:

* Tuning to the first several overtones over one fundamental.

* Tuning to an octave-repeating slice of the overtone series for use as a scale (for instance overtones 8 though 16 or 12 through 24).

* Tuning to an octave-repeating slice of the overtone series for use as a scale (for instance overtones 8 though 16, [[otones12-24|12 through 24]], [[otones20-40|20 through 40]]...).

* Tuning to the overtones of the overtones.

* Tuning to the overtones of the overtones & the undertones of the undertones. (This can produce complex scales such as [[Harry Partch]]'s 43-tone Monophonic; this kind of thing is more often called "[[just intonation]]" than "overtone music".)

* Tuning to the overtones of the overtones & the undertones of the undertones. (This can produce complex scales such as [[Harry Partch]]'s 43-tone Monophonic; this kind of thing is more often called "[[JustIntonation|just intonation]]" than "overtone music".)

== ==

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<br />

One might compose with the overtone series by, for instance:<br />

<ul><li>Tuning to the first several overtones over one fundamental.</li><li>Tuning to an octave-repeating slice of the overtone series for use as a scale (for instance overtones 8 though 16 or 12 through 24).</li><li>Tuning to the overtones of the overtones.</li><li>Tuning to the overtones of the overtones &amp; the undertones of the undertones. (This can produce complex scales such as <a class="wiki_link" href="/Harry%20Partch">Harry Partch</a>'s 43-tone Monophonic; this kind of thing is more often called &quot;<a class="wiki_link" href="/~~just%20intonation~~">just intonation</a>&quot; than &quot;overtone music&quot;.)</li></ul><br />

<ul><li>Tuning to the first several overtones over one fundamental.</li><li>Tuning to an octave-repeating slice of the overtone series for use as a scale (for instance overtones 8 though 16, <a class="wiki_link" href="/otones12-24">12 through 24</a>, <a class="wiki_link" href="/otones20-40">20 through 40</a>...).</li><li>Tuning to the overtones of the overtones.</li><li>Tuning to the overtones of the overtones &amp; the undertones of the undertones. (This can produce complex scales such as <a class="wiki_link" href="/Harry%20Partch">Harry Partch</a>'s 43-tone Monophonic; this kind of thing is more often called &quot;<a class="wiki_link" href="/JustIntonation">just intonation</a>&quot; than &quot;overtone music&quot;.)</li></ul><br />

<h2 id="toc1"> </h2>

<h2 id="toc2"><a name="Music based on the overtone series-External links"></a>External links</h2>

@@ 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-10-17 12:20:32 UTC</tt>.<br>
+: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-10-17 12:26:47 UTC</tt>.<br>
-: The original revision id was <tt>95820656</tt>.<br>
+: The original revision id was <tt>95821238</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 16: / Line 16: @@
 One might compose with the overtone series by, for instance:
 * Tuning to the first several overtones over one fundamental.
-* Tuning to an octave-repeating slice of the overtone series for use as a scale (for instance overtones 8 though 16 or 12 through 24).
+* Tuning to an octave-repeating slice of the overtone series for use as a scale (for instance overtones 8 though 16, [[otones12-24|12 through 24]], [[otones20-40|20 through 40]]...).
 * Tuning to the overtones of the overtones.
-* Tuning to the overtones of the overtones &amp; the undertones of the undertones. (This can produce complex scales such as [[Harry Partch]]'s 43-tone Monophonic; this kind of thing is more often called "[[just intonation]]" than "overtone music".)
+* Tuning to the overtones of the overtones &amp; the undertones of the undertones. (This can produce complex scales such as [[Harry Partch]]'s 43-tone Monophonic; this kind of thing is more often called "[[JustIntonation|just intonation]]" than "overtone music".)
 == ==
@@ Line 52: / Line 52: @@
 &lt;br /&gt;
 One might compose with the overtone series by, for instance:&lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;Tuning to the first several overtones over one fundamental.&lt;/li&gt;&lt;li&gt;Tuning to an octave-repeating slice of the overtone series for use as a scale (for instance overtones 8 though 16 or 12 through 24).&lt;/li&gt;&lt;li&gt;Tuning to the overtones of the overtones.&lt;/li&gt;&lt;li&gt;Tuning to the overtones of the overtones &amp;amp; the undertones of the undertones. (This can produce complex scales such as &lt;a class="wiki_link" href="/Harry%20Partch"&gt;Harry Partch&lt;/a&gt;'s 43-tone Monophonic; this kind of thing is more often called &amp;quot;&lt;a class="wiki_link" href="/just%20intonation"&gt;just intonation&lt;/a&gt;&amp;quot; than &amp;quot;overtone music&amp;quot;.)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;Tuning to the first several overtones over one fundamental.&lt;/li&gt;&lt;li&gt;Tuning to an octave-repeating slice of the overtone series for use as a scale (for instance overtones 8 though 16, &lt;a class="wiki_link" href="/otones12-24"&gt;12 through 24&lt;/a&gt;, &lt;a class="wiki_link" href="/otones20-40"&gt;20 through 40&lt;/a&gt;...).&lt;/li&gt;&lt;li&gt;Tuning to the overtones of the overtones.&lt;/li&gt;&lt;li&gt;Tuning to the overtones of the overtones &amp;amp; the undertones of the undertones. (This can produce complex scales such as &lt;a class="wiki_link" href="/Harry%20Partch"&gt;Harry Partch&lt;/a&gt;'s 43-tone Monophonic; this kind of thing is more often called &amp;quot;&lt;a class="wiki_link" href="/JustIntonation"&gt;just intonation&lt;/a&gt;&amp;quot; than &amp;quot;overtone music&amp;quot;.)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt; &lt;/h2&gt;
   &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Music based on the overtone series-External links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;External links&lt;/h2&gt;