Harmonic series
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=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," & 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.
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, [[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 & 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".)
== ==
==External links==
[[http://en.wikipedia.org/wiki/Spectral_music|Spectral music article on wikipedia]]
[[http://www.overtone.cc|Overtone music network]] - a portal for overtone music.
==Some individual compositions==
[[http://en.wikipedia.org/wiki/Stimmung|Stimmung]] by Karlheinz Stockhausen
[[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]]Original HTML content:
<html><head><title>OverToneSeries</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Music based on the overtone series"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music based on the overtone series</h1> <br /> 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.<br /> The undertone series is its inversion: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7... ad infinitum.<br /> Steps between adjacent members of either series are called "superparticular," & they appear in the form a/(a-1), eg. 4/3, 28/27, 33/32...<br /> <br /> In just intonation theory, the overtone series is often treated as the foundation of consonance.<br /> <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, <a class="wiki_link" href="/otones12-24">12 through 24</a>, <a class="wiki_link" href="/otones20-40">20 through 40</a>... see <a class="wiki_link" href="/Overtone%20Scales">Overtone Scales</a>).</li><li>Tuning to the overtones of the overtones.</li><li>Tuning to the overtones of the overtones & 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 "<a class="wiki_link" href="/JustIntonation">just intonation</a>" than "overtone music".)</li></ul><br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><!-- ws:end:WikiTextHeadingRule:2 --> </h2> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Music based on the overtone series-External links"></a><!-- ws:end:WikiTextHeadingRule:4 -->External links</h2> <br /> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Spectral_music" rel="nofollow">Spectral music article on wikipedia</a><br /> <a class="wiki_link_ext" href="http://www.overtone.cc" rel="nofollow">Overtone music network</a> - a portal for overtone music.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Music based on the overtone series-Some individual compositions"></a><!-- ws:end:WikiTextHeadingRule:6 -->Some individual compositions</h2> <br /> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Stimmung" rel="nofollow">Stimmung</a> by Karlheinz Stockhausen<br /> <a class="wiki_link_ext" href="http://www.southern.com/southern/band/BRANC/disc.html" rel="nofollow">Symphony No.3 (Gloria)</a> by <a class="wiki_link_ext" href="http://www.glennbranca.com/" rel="nofollow">Glenn Branca</a><br /> Various by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Georg_Friedrich_Haas" rel="nofollow">Georg Friedrich Haas</a><br /> <br /> Various played with <a class="wiki_link_ext" href="http://www.fujara.sk/audio_samples.htm" rel="nofollow">Fujara</a> (slovak overtone flute)<br /> Various by <a class="wiki_link_ext" href="http://www.soundwell.com/music-e.htm" rel="nofollow">SoundWell</a> ("Snake" overtone flute)<br /> Various by <a class="wiki_link_ext" href="http://www.spectralvoices.com/review.htm" rel="nofollow">Spectral Voices</a> (meditative new age with overtone singing)<br /> Various by <a class="wiki_link_ext" href="http://www.stimmhorn.ch/" rel="nofollow">Stimmhorn</a> (experimental alphorn and yodeling combined with overtone singing)<br /> <br /> <a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/immanent.html" rel="nofollow">Immanent Sphere</a> by William Sethares<br /> <a class="wiki_link_ext" href="http://mysterybear.net/article/23/palimpsest" rel="nofollow">Palimsest</a> by Dave Seidel<br /> <a class="wiki_link_ext" href="http://mysterybear.net/article/22/owllight" rel="nofollow">Owllight</a> by Dave Seidel<br /> <a class="wiki_link_ext" href="http://mysterybear.net/article/18/threnody" rel="nofollow">Threnody</a> by Dave Seidel<br /> <a class="wiki_link_ext" href="http://www.i-ching-music.com/FREE102.html" rel="nofollow">Planetary Ripples</a> by Richard Burdick<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Music based on the overtone series-See also:"></a><!-- ws:end:WikiTextHeadingRule:8 -->See also:</h2> <a class="wiki_link" href="/Isoharmonic%20Chords">Isoharmonic Chords</a><br /> <a class="wiki_link" href="/First%20Five%20Octaves%20of%20the%20Harmonic%20Series">First Five Octaves of the Harmonic Series</a> <br /> <a class="wiki_link" href="/Overtone%20Scales">Overtone Scales</a><br /> <a class="wiki_link" href="/ListOfOvertones">ListOfOvertones</a></body></html>