Harmonic series: Difference between revisions

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<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">=Music based on the overtone series=

The overtone series can be mathematically generated by frequency ratios 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1... ad infinitum.

The undertone series is its inversion: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7... ad infinitum.

Steps between adjacent members of either series are called "superparticular," &amp; they appear in the form a/(a-1), eg. 4/3, 28/27, 33/32...

In just intonation theory, the overtone series is often treated as the foundation of consonance.

* 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]]... see [[Overtone Scales]]).

* 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 "[[JustIntonation|just intonation]]" than "overtone music".)

[[http://en.wikipedia.org/wiki/Spectral_music|Spectral music article on wikipedia]]

[[http://www.overtone.cc|Overtone music network]] - a portal for overtone music.

[[http://www.xing.com/net/overtonenetwork|Oberton-Netzwerk (Xing)]] - german-speaking group dedicated to overtone music on the social network platform [[http://www.xing.com|Xing]]. Microtonal music in general is welcome, too.

[[http://www.southern.com/southern/band/BRANC/disc.html|Symphony No.3 (Gloria)]] by [[http://www.glennbranca.com/|Glenn Branca]]

Various by [[http://en.wikipedia.org/wiki/Georg_Friedrich_Haas|Georg Friedrich Haas]]

Various played with [[http://www.fujara.sk/audio_samples.htm|Fujara]] (slovak overtone flute)

Various by [[http://www.soundwell.com/music-e.htm|SoundWell]] ("Snake" overtone flute)

Various by [[http://www.spectralvoices.com/review.htm|Spectral Voices]] (meditative new age with overtone singing)

Various by [[http://www.stimmhorn.ch/|Stimmhorn]] (experimental alphorn and yodeling combined with overtone singing)

[[http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/immanent.html|Immanent Sphere]] by William Sethares

[[http://mysterybear.net/article/23/palimpsest|Palimsest]] by Dave Seidel

[[http://mysterybear.net/article/22/owllight|Owllight]] by Dave Seidel

[[http://mysterybear.net/article/18/threnody|Threnody]] by Dave Seidel

[[http://www.i-ching-music.com/FREE102.html|Planetary Ripples]] by Richard Burdick

==See also:==  

[[Isoharmonic Chords]]

[[First Five Octaves of the Harmonic Series]]

[[Overtone Scales]]

[[ListOfOvertones]]</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;OverToneSeries&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Music based on the overtone series"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Music based on the overtone series&lt;/h1&gt;

The overtone series can be mathematically generated by frequency ratios 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1... ad infinitum.&lt;br /&gt;

The undertone series is its inversion: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7... ad infinitum.&lt;br /&gt;

Steps between adjacent members of either series are called &amp;quot;superparticular,&amp;quot; &amp;amp; they appear in the form a/(a-1), eg. 4/3, 28/27, 33/32...&lt;br /&gt;

In just intonation theory, the overtone series is often treated as the foundation of consonance.&lt;br /&gt;

&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, &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;... see &lt;a class="wiki_link" href="/Overtone%20Scales"&gt;Overtone Scales&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;

&lt;br /&gt;

&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Spectral_music" rel="nofollow"&gt;Spectral music article on wikipedia&lt;/a&gt;&lt;br /&gt;

&lt;a class="wiki_link_ext" href="http://www.overtone.cc" rel="nofollow"&gt;Overtone music network&lt;/a&gt; - a portal for overtone music.&lt;br /&gt;

&lt;a class="wiki_link_ext" href="http://www.xing.com/net/overtonenetwork" rel="nofollow"&gt;Oberton-Netzwerk (Xing)&lt;/a&gt; - german-speaking group dedicated to overtone music on the social network platform &lt;a class="wiki_link_ext" href="http://www.xing.com" rel="nofollow"&gt;Xing&lt;/a&gt;. Microtonal music in general is welcome, too.&lt;br /&gt;

&lt;br /&gt;

&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Music based on the overtone series-Some individual compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Some individual compositions&lt;/h2&gt;

&lt;br /&gt;

&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Stimmung" rel="nofollow"&gt;Stimmung&lt;/a&gt; by Karlheinz Stockhausen&lt;br /&gt;

&lt;a class="wiki_link_ext" href="http://www.southern.com/southern/band/BRANC/disc.html" rel="nofollow"&gt;Symphony No.3 (Gloria)&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://www.glennbranca.com/" rel="nofollow"&gt;Glenn Branca&lt;/a&gt;&lt;br /&gt;

Various by &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Georg_Friedrich_Haas" rel="nofollow"&gt;Georg Friedrich Haas&lt;/a&gt;&lt;br /&gt;

&lt;br /&gt;

Various played with &lt;a class="wiki_link_ext" href="http://www.fujara.sk/audio_samples.htm" rel="nofollow"&gt;Fujara&lt;/a&gt; (slovak overtone flute)&lt;br /&gt;

Various by &lt;a class="wiki_link_ext" href="http://www.soundwell.com/music-e.htm" rel="nofollow"&gt;SoundWell&lt;/a&gt; (&amp;quot;Snake&amp;quot; overtone flute)&lt;br /&gt;

Various by &lt;a class="wiki_link_ext" href="http://www.spectralvoices.com/review.htm" rel="nofollow"&gt;Spectral Voices&lt;/a&gt; (meditative new age with overtone singing)&lt;br /&gt;

Various by &lt;a class="wiki_link_ext" href="http://www.stimmhorn.ch/" rel="nofollow"&gt;Stimmhorn&lt;/a&gt; (experimental alphorn and yodeling combined with overtone singing)&lt;br /&gt;

&lt;br /&gt;

&lt;a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/immanent.html" rel="nofollow"&gt;Immanent Sphere&lt;/a&gt; by William Sethares&lt;br /&gt;

&lt;a class="wiki_link_ext" href="http://mysterybear.net/article/23/palimpsest" rel="nofollow"&gt;Palimsest&lt;/a&gt; by Dave Seidel&lt;br /&gt;

&lt;a class="wiki_link_ext" href="http://mysterybear.net/article/22/owllight" rel="nofollow"&gt;Owllight&lt;/a&gt; by Dave Seidel&lt;br /&gt;

&lt;a class="wiki_link_ext" href="http://mysterybear.net/article/18/threnody" rel="nofollow"&gt;Threnody&lt;/a&gt; by Dave Seidel&lt;br /&gt;

&lt;a class="wiki_link_ext" href="http://www.i-ching-music.com/FREE102.html" rel="nofollow"&gt;Planetary Ripples&lt;/a&gt; by Richard Burdick&lt;br /&gt;

&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Music based on the overtone series-See also:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;See also:&lt;/h2&gt;

&lt;a class="wiki_link" href="/Isoharmonic%20Chords"&gt;Isoharmonic Chords&lt;/a&gt;&lt;br /&gt;

&lt;a class="wiki_link" href="/First%20Five%20Octaves%20of%20the%20Harmonic%20Series"&gt;First Five Octaves of the Harmonic Series&lt;/a&gt;&lt;br /&gt;

&lt;a class="wiki_link" href="/Overtone%20Scales"&gt;Overtone Scales&lt;/a&gt;&lt;br /&gt;