Harmonic series: Difference between revisions

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=Music based on the overtone series=
=Music based on the overtone series=


The overtone series can be mathematically generated by [[Gallery_of_Just_Intervals|frequency ratios]] 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1... ad infinitum.
The overtone series can be mathematically generated by [[Gallery of Just Intervals|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.
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|superparticular]]," and they appear in the form (n+1)/n, eg. 4/3, 28/27, 33/32...
Steps between adjacent members of either series are called "[[superparticular]]," and they appear in the form (n+1)/n, e.g. 4/3, 28/27, 33/32...


In just intonation theory, the overtone series is often treated as the foundation of consonance. The [[chord_of_nature|chord of nature]] is the name sometimes given to the overtone series, or the series up to a certain stopping point, regarded as a chord.
In just intonation theory, the overtone series is often treated as the foundation of consonance. The [[chord of nature]] is the name sometimes given to the overtone series, or the series up to a certain stopping point, regarded as a chord.


One might compose with the overtone series by, for instance:
One might compose with the overtone series by, for instance:


<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, [[otones12-24|12 through 24]], [[otones20-40|20 through 40]]... see [[overtone_scales|Overtone Scales]]).</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 [[Harry_Partch|Harry Partch]]'s 43-tone Monophonic; this kind of thing is more often called "[[JustIntonation|just intonation]]" than "overtone music".)</li></ul>
<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, [[otones12-24|12 through 24]], [[otones20-40|20 through 40]]... see [[overtone scales|Overtone Scales]]).</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 [[Harry Partch]]'s 43-tone Monophonic; this kind of thing is more often called "[[JustIntonation|just intonation]]" than "overtone music".)</li></ul>


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==External links==
==External links==


[http://en.wikipedia.org/wiki/Spectral_music Spectral music article on wikipedia]
* [http://en.wikipedia.org/wiki/Spectral_music Spectral music article on wikipedia]
 
* [http://www.naturton-musik.de/ www.naturton-musik.de] - web site dedicated to overtone music (by Austrian composer Johannes Kotschy) - a lot of theory material and practical guides to write music based on the overtone series
[http://www.naturton-musik.de/ www.naturton-musik.de] - web site dedicated to overtone music (by austrian composer Johannes Kotschy) - a lot of theory material and practical guides to write music based on the overtone series
* [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.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.


==Some individual compositions==
==Some individual compositions==


''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/DroneInsideAnHarmonicSeries.mp3 Drone Inside An Harmonic Series]'' by [[Norbert_Oldani|Norbert Oldani]]
* ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/DroneInsideAnHarmonicSeries.mp3 Drone Inside An Harmonic Series]'' by [[Norbert Oldani]]
 
* [http://mysterybear.net/article/18/threnody Threnody] ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Threnody.mp3 play]'' by [[Dave Seidel]]
[http://mysterybear.net/article/18/threnody Threnody] ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Threnody.mp3 play]'' by [[Dave_Seidel|Dave Seidel]]
* [http://mysterybear.net/article/22/owllight Owllight] ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Owllight.mp3 play]'' by Dave Seidel
 
* [http://mysterybear.net/article/23/palimpsest Palimsest] ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Palimpsest.mp3 play]'' by Dave Seidel
[http://mysterybear.net/article/22/owllight Owllight] ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Owllight.mp3 play]'' by Dave Seidel
* [http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/immanent.html Immanent Sphere] ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/ImmanentSphere.mp3 play]'' by [[William Sethares]]
 
* [http://sonic-arts.org/hill/10-passages-ji/10-passages-ji.htm Chord Progression on the Harmonic Overtone Series] ''[http://sonic-arts.org/hill/10-passages-ji/06_hill_chord-progression-on-harmonic-series.mp3 play]'' by [[Dave Hill]]
[http://mysterybear.net/article/23/palimpsest Palimsest] ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Palimpsest.mp3 play]'' by Dave Seidel
* [http://chrisvaisvil.com/rock-trio-in-harmonic-series/ Rock Trio in Harmonic Series] [http://micro.soonlabel.com/harmonic_series/Nevadatite20160226_harmonic_band.mp3 play] by [[Chris Vaisvil]]
 
* [http://www.i-ching-music.com/FREE102.html Planetary Ripples] by Richard Burdick
[http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/immanent.html Immanent Sphere] ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/ImmanentSphere.mp3 play]'' by [[William_Sethares|William Sethares]]
* [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]
[http://sonic-arts.org/hill/10-passages-ji/10-passages-ji.htm Chord Progression on the Harmonic Overtone Series] ''[http://sonic-arts.org/hill/10-passages-ji/06_hill_chord-progression-on-harmonic-series.mp3 play]'' by [[Dave_Hill|Dave Hill]]
 
[http://chrisvaisvil.com/rock-trio-in-harmonic-series/ Rock Trio in Harmonic Series] [http://micro.soonlabel.com/harmonic_series/Nevadatite20160226_harmonic_band.mp3 play] by [[Chris_Vaisvil|Chris Vaisvil]]
 
[http://www.i-ching-music.com/FREE102.html Planetary Ripples] by Richard Burdick
 
[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 by [http://en.wikipedia.org/wiki/Georg_Friedrich_Haas Georg Friedrich Haas]
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Various by [http://www.stimmhorn.ch/ Stimmhorn] (experimental alphorn and yodeling combined with overtone singing)
Various by [http://www.stimmhorn.ch/ Stimmhorn] (experimental alphorn and yodeling combined with overtone singing)


==See also:==
==See also==
<ul><li>[[isoharmonic_chords|Isoharmonic Chords]]</li><li>[[First_Five_Octaves_of_the_Harmonic_Series|First Five Octaves of the Harmonic Series]]</li><li>[[overtone_scales|Overtone Scales]]</li><li>[[ListOfOvertones|ListOfOvertones]]</li><li>[[The_Prime_Harmonic_Series|The Prime Harmonic Series]]</li><li>[[Harmonic|Harmonic]]</li></ul>      [[Category:harmonic]]
<ul><li>[[isoharmonic chords|Isoharmonic Chords]]</li><li>[[First Five Octaves of the Harmonic Series]]</li><li>[[overtone scales|Overtone Scales]]</li><li>[[ListOfOvertones]]</li><li>[[The Prime Harmonic Series]]</li><li>[[Harmonic]]</li></ul>      [[Category:Harmonic]]
[[Category:harmonic_series]]
[[Category:Harmonic series]]
[[Category:ji]]
[[Category:Ji]]
[[Category:just]]
[[Category:Just]]
[[Category:listen]]
[[Category:Listen]]
[[Category:overtone]]
[[Category:Overtone]]
[[Category:overview]]
[[Category:Overview]]
[[Category:people]]
[[Category:People]]