Harmonic series: Difference between revisions

m FloraC moved page Overtone series to Harmonic series over redirect: For obvious reasons
Added Wikipedia box, recast lead section, cleanup (especially harmonic vs. overtone), merged "See also" links from Chord of nature (previous version), categories, marked 15 dead links
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== Music based on the overtone series ==
{{Wikipedia|Harmonic series (music)}}


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 '''harmonic series''' (or '''overtone series''') is a sequence of notes generated by whole-number frequency [[ratio]]s over a fundamental: [[1/1]], [[2/1]], [[3/1]], [[4/1]], [[5/1]], [[6/1]], [[7/1]]... ad infinitum. Each member of this series is a [[harmonic]]; the term ''overtone'', which is not an exact synonym, is also used in the same sense by many people.


The undertone series is its inversion: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7... ad infinitum.
In [[just intonation]] theory, the harmonic series is often treated as the foundation of consonance.  


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...
The [[subharmonic series]] (or undertone series) is the inversion of the harmonic series: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7... ad infinitum.


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.
== Music based on the harmonic series ==
The [[chord of nature]] is the name sometimes given to the harmonic series, or the series up to a certain stopping point, regarded as a chord.


One might compose with the overtone series by, for instance:
Steps between adjacent members of the harmonic series are called "[[superparticular]]," and they appear in the form (''n''+1)/''n'' (e.g. [[4/3]], [[28/27]], [[33/32]]).


* Tuning to the first several overtones over one fundamental.
One might compose with the harmonic series by, for instance:
* 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 ==
* Tuning to the first several harmonics over one fundamental;
 
* Tuning to an octave-repeating slice of the harmonic 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]]);
* [http://en.wikipedia.org/wiki/Spectral_music Spectral music article on wikipedia]
* 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".)
* [https://en.wikipedia.org/wiki/Harmonic_series_(music) Harmonic series 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.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]]
* ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/DroneInsideAnHarmonicSeries.mp3 Drone Inside An Harmonic Series]''{{dead link}} 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]{{dead link}} ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Threnody.mp3 play]''{{dead link}} 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://mysterybear.net/article/22/owllight Owllight]{{dead link}} ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Owllight.mp3 play]''{{dead link}} 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/23/palimpsest Palimsest]{{dead link}} ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Palimpsest.mp3 play]''{{dead link}} 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://eceserv0.ece.wisc.edu/%7Esethares/mp3s/immanent.html Immanent Sphere]{{dead link}} ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/ImmanentSphere.mp3 play]''{{dead link}} 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://sonic-arts.org/hill/10-passages-ji/10-passages-ji.htm Chord Progression on the Harmonic Overtone Series]{{dead link}} ''[http://sonic-arts.org/hill/10-passages-ji/06_hill_chord-progression-on-harmonic-series.mp3 play]''{{dead link}} by [[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]]
* [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://www.i-ching-music.com/FREE102.html Planetary Ripples]{{dead link}} by Richard Burdick
* [http://en.wikipedia.org/wiki/Stimmung Stimmung] by Karlheinz Stockhausen
* [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://www.southern.com/southern/band/BRANC/disc.html Symphony No.3 (Gloria)]{{dead link}} 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]
* Various played with [http://www.fujara.sk/audio_samples.htm Fujara] (slovak overtone flute)
* 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.soundwell.com/en/music SoundWell] ("Snake" overtone flute)
* Various by [http://www.spectralvoices.com/review.htm Spectral Voices] (meditative new age with overtone singing)
* Various by [http://www.spectralvoices.com/ Spectral Voices] (meditative new age with overtone singing)
* 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)


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* [[List of overtones]]
* [[List of overtones]]
* [[Prime harmonic series]]
* [[Prime harmonic series]]
* [[Harmonic]]
* [[Mike Sheiman's Very Easy Scale Building From The Harmonic Series Page]]
 
== External links ==
 
* [http://en.wikipedia.org/wiki/Spectral_music Spectral music article on Wikipedia]
* [http://www.naturton-musik.de/ www.naturton-musik.de]{{dead link}} - 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)]{{dead link}} - German-speaking group dedicated to overtone music on the social network platform [http://www.xing.com Xing]. Microtonal music in general is welcome, too.
        
        
[[Category:Harmonic series]]
[[Category:Harmonic]]
[[Category:Just intonation]]
[[Category:Listen]]
[[Category:Listen]]
[[Category:Overtone]]
[[Category:Overview]]
[[Category:Overview]]
[[Category:People]]