Harmonic series: Difference between revisions
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{{Wikipedia|Harmonic series (music)}} | {{Wikipedia|Harmonic series (music)}} | ||
The '''harmonic series''' is a sequence of [[Pitch|tone]]s 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]] (which is short for "harmonic partial"). | The '''harmonic series''' is a sequence of [[Pitch|tone]]s 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]] (which is short for "harmonic partial"). | ||
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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. | 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. | ||
[[File:HEJI harmonics 1-16.png|thumb|center|650px|Harmonic series on A, partials 1 to 16, notated in [[HEJI]].]] | |||
== Chord of nature == | |||
{{Wikipedia|Klang (music)}} | |||
Treated as a [[chord]], the harmonic series is sometimes called the '''chord of nature'''; in German this has been called the '''Klang'''. | |||
The ''q''-limit chord of nature is 1:2:3:4:...:''q'' up to some odd number ''q'', and is the basic ''q''-[[limit]] [[Otonality and utonality|otonality]] which can be equated via [[Octave reduction|octave equivalence]] to other versions of the complete ''q''-limit otonal chord. | |||
== Music based on the harmonic series == | == Music based on the harmonic series == | ||
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* {{w|Stimmung|''Stimmung''}} (1968) | * {{w|Stimmung|''Stimmung''}} (1968) | ||
* {{w|Sternklang|''Sternklang''}} (1971) | * {{w|Sternklang|''Sternklang''}} (1971) | ||
; [[Cam Taylor]] | |||
* [https://www.youtube.com/watch?v=ECLEbVXoTvA Harmonic series 4-8, 8-16 and 16-32 on the Lumatone] (2022) | |||
; [[Chris Vaisvil]] | ; [[Chris Vaisvil]] | ||
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== See also == | == See also == | ||
*[[Subharmonic series]] | * [[Subharmonic series]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[Isoharmonic chords]] | * [[Isoharmonic chords]] | ||
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* [[Mike Sheiman's Very Easy Scale Building From The Harmonic Series Page]] | * [[Mike Sheiman's Very Easy Scale Building From The Harmonic Series Page]] | ||
* [[8th Octave Overtone Tuning]] | * [[8th Octave Overtone Tuning]] | ||
* [[Johannes Kotschy]] | |||
== External links == | == External links == | ||