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 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.
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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]]'s 43-tone Monophonic; this kind of thing is more often called "[[JustIntonation|just intonation]]" than "overtone music".)</li></ul>
* 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 &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".)


==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]
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* [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.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]'' by [[Norbert Oldani]]
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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]]</li><li>[[overtone scales|Overtone Scales]]</li><li>[[ListOfOvertones]]</li><li>[[The Prime Harmonic Series]]</li><li>[[Harmonic]]</li></ul>     
 
* [[Gallery of Just Intervals]]
* [[Isoharmonic chords]]
* [[First Five Octaves of the Harmonic Series]]
* [[Overtone scales]]
* [[ListOfOvertones]]
* [[The Prime Harmonic Series]]
* [[Harmonic]]
     
[[Category:Harmonic]]
[[Category:Harmonic]]
[[Category:Harmonic series]]
[[Category:Harmonic series]]
[[Category:Ji]]
[[Category:Just intonation]]
[[Category:Just]]
[[Category:Listen]]
[[Category:Listen]]
[[Category:Overtone]]
[[Category:Overtone]]
[[Category:Overview]]
[[Category:Overview]]
[[Category:People]]
[[Category:People]]

Revision as of 13:56, 7 June 2020

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

See also