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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* 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".) | * 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".) | ||
== | == Music == | ||
; [[Richard Burdick]] | |||
* [http://www.i-ching-music.com/FREE102.html ''Planetary Ripples'']{{dead link}} | |||
; [[Folkart Slovakia]] ([http://www.fujara.sk/audio_samples.htm site]) | |||
* Various played with Fujara (slovak overtone flute) | |||
; {{w|Georg Friedrich Haas}} | |||
* Various<sup>[''which?'']</sup> | |||
; [[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}} | |||
; [[Norbert Oldani]] | |||
* ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/DroneInsideAnHarmonicSeries.mp3 Drone Inside An Harmonic Series]''{{dead link}} | |||
; [[Dave Seidel]] | |||
* [http://mysterybear.net/article/18/threnody ''Threnody'']{{dead link}} [https://web.archive.org/web/20201127015923/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Threnody.mp3 play] | |||
* [http://mysterybear.net/article/22/owllight ''Owllight'']{{dead link}} [https://web.archive.org/web/20201127012201/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Owllight.mp3 play] | |||
* [http://mysterybear.net/article/23/palimpsest ''Palimsest'']{{dead link}} [https://web.archive.org/web/20201127012920/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Palimpsest.mp3 play] | |||
; [[William Sethares]] | |||
* ''Immanent Sphere'' – [https://sethares.engr.wisc.edu/mp3s/immanent.html detail] | [https://web.archive.org/web/20201127013148/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/ImmanentSphere.mp3 play] | |||
; [[SoundWell]] ([http://www.soundwell.com/en/music site]) | |||
* Various ("Snake" overtone flute) | |||
; [[Spectral Voices]] ([http://www.spectralvoices.com/ site]) | |||
* Various (meditative new age with overtone singing) | |||
; [[Stimmhorn]] ([http://www.stimmhorn.ch/ site]) | |||
* Various (experimental alphorn and yodeling combined with overtone singing) | |||
; {{w|Karlheinz Stockhausen}} | |||
* {{w|Stimmung|''Stimmung''}} (1968) | |||
* {{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]] | |||
* ''Rock Trio in Harmonic Series'' (2016) – [http://chrisvaisvil.com/rock-trio-in-harmonic-series/ blog] | [http://micro.soonlabel.com/harmonic_series/Nevadatite20160226_harmonic_band.mp3 play] | |||
; {{w|Glenn Branca}} ([http://www.glennbranca.com/ site]) | |||
* ''Symphony No. 3 "Gloria"'' (1983) | |||
* | |||
== 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 == | ||