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]]

Revision as of 03:28, 12 January 2019

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," 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 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:

  • 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, 12 through 24, 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 "just intonation" than "overtone music".)

External links

Some individual compositions

Various by Georg Friedrich Haas

Various played with Fujara (slovak overtone flute)

Various by SoundWell ("Snake" overtone flute)

Various by Spectral Voices (meditative new age with overtone singing)

Various by Stimmhorn (experimental alphorn and yodeling combined with overtone singing)

See also