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 [[ | 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 "[[ | 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 [[ | 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 [[ | <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 & 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 | * [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)] - | |||
==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 [[ | * ''[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 [[ | * [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 [[ | * [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 [[ | |||
[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 [[ | |||
[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>[[ | <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: | [[Category:Harmonic series]] | ||
[[Category: | [[Category:Ji]] | ||
[[Category: | [[Category:Just]] | ||
[[Category: | [[Category:Listen]] | ||
[[Category: | [[Category:Overtone]] | ||
[[Category: | [[Category:Overview]] | ||
[[Category: | [[Category:People]] |