Add image in the lead section (taken from the HEJI document)
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<h4>Original Wikitext content:</h4>
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=Music based on the overtone series=
{{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 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.
Note that the terms ''overtone'' and '''overtone series''' are not quite synonymous with ''harmonic'' and ''harmonic series'', respectively, although interchangeable usage is also attested. Technically speaking, ''overtone series'' excludes the starting fundamental, so the 2nd harmonic is the 1st overtone. Because of that distinction, the math of the "overtone series" is off by one. So, "harmonic series" is arguably the preferred standard.
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]]," & they appear in the form (n+1)/n, eg. 4/3, 28/27, 33/32...
In just intonation theory, the overtone series is often treated as the foundation of consonance.
In [[just intonation]] theory, the harmonic series is often treated as the foundation of consonance.
One might compose with the overtone series by, for instance:
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.
* 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 & 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".)
== ==
[[File:HEJI harmonics 1-16.png|thumb|center|650px|Harmonic series on A, partials 1 to 16, notated in [[HEJI]].]]
==External links==
[[http://en.wikipedia.org/wiki/Spectral_music|Spectral music article on wikipedia]]
== Chord of nature ==
[[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
{{Wikipedia|Klang (music)}}
[[http://www.overtone.cc|Overtone music network]] - a portal for overtone music.
Treated as a [[chord]], the harmonic series is sometimes called the '''chord of nature'''; in German this has been called the '''Klang'''.
[[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==
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.
[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/DroneInsideAnHarmonicSeries.mp3|Drone Inside An Harmonic Series]] by [[Norbert Oldani]]
== Music based on the harmonic series ==
[[http://mysterybear.net/article/18/threnody|Threnody]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Seidel/Threnody.mp3|play]] by [[Dave Seidel]]
The [[chord of nature]] is the name sometimes given to the harmonic series, or the series up to a certain stopping point, regarded as a chord.
[[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://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://www.i-ching-music.com/FREE102.html|Planetary Ripples]] by Richard Burdick
Steps between adjacent members of the harmonic series are called "[[superparticular]]," and they appear in the form (''n''+1)/''n'' (e.g. [[4/3]], [[28/27]], [[33/32]]).
[[http://en.wikipedia.org/wiki/Stimmung|Stimmung]] by Karlheinz Stockhausen
One might compose with the harmonic series by, for instance:
[[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 played with [[http://www.fujara.sk/audio_samples.htm|Fujara]] (slovak overtone flute)
* Tuning to the first several harmonics over one fundamental;
Various by [[http://www.soundwell.com/music-e.htm|SoundWell]] ("Snake" overtone flute)
* Tuning to an octave-repeating slice of the harmonic series for use as a scale (for instance harmonics 8 though 16, [[otones12-24|12 through 24]], [[otones20-40|20 through 40]]... see [[overtone scales]]);
Various by [[http://www.spectralvoices.com/review.htm|Spectral Voices]] (meditative new age with overtone singing)
* 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".)
Various by [[http://www.stimmhorn.ch/|Stimmhorn]] (experimental alphorn and yodeling combined with overtone singing)
* Various played with Fujara (slovak overtone flute)
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>OverToneSeries</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music based on the overtone series"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music based on the overtone series</h1>
; {{w|Georg Friedrich Haas}}
<br />
* Various<sup>[''which?'']</sup>
The overtone series can be mathematically generated by <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">frequency ratios</a> 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1... ad infinitum.<br />
The undertone series is its inversion: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7... ad infinitum.<br />
; [[Dave Hill]]
Steps between adjacent members of either series are called &quot;<a class="wiki_link" href="/superparticular">superparticular</a>,&quot; &amp; they appear in the form (n+1)/n, eg. 4/3, 28/27, 33/32...<br />
* [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}}
<br />
In just intonation theory, the overtone series is often treated as the foundation of consonance.<br />
; [[Norbert Oldani]]
<br />
* ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/DroneInsideAnHarmonicSeries.mp3 Drone Inside An Harmonic Series]''{{dead link}}
One might compose with the overtone series by, for instance:<br />
<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, <a class="wiki_link" href="/otones12-24">12 through 24</a>, <a class="wiki_link" href="/otones20-40">20 through 40</a>... see <a class="wiki_link" href="/Overtone%20Scales">Overtone Scales</a>).</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 <a class="wiki_link" href="/Harry%20Partch">Harry Partch</a>'s 43-tone Monophonic; this kind of thing is more often called &quot;<a class="wiki_link" href="/JustIntonation">just intonation</a>&quot; than &quot;overtone music&quot;.)</li></ul><br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Music based on the overtone series-External links"></a><!-- ws:end:WikiTextHeadingRule:4 -->External links</h2>
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Spectral_music" rel="nofollow">Spectral music article on wikipedia</a><br />
<a class="wiki_link_ext" href="http://www.naturton-musik.de/" rel="nofollow">www.naturton-musik.de</a> - 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<br />
; [[William Sethares]]
<a class="wiki_link_ext" href="http://www.overtone.cc" rel="nofollow">Overtone music network</a> - a portal for overtone music.<br />
<a class="wiki_link_ext" href="http://www.xing.com/net/overtonenetwork" rel="nofollow">Oberton-Netzwerk (Xing)</a> - german-speaking group dedicated to overtone music on the social network platform <a class="wiki_link_ext" href="http://www.xing.com" rel="nofollow">Xing</a>. Microtonal music in general is welcome, too.<br />
* Various (experimental alphorn and yodeling combined with overtone singing)
<a class="wiki_link_ext" href="http://sonic-arts.org/hill/10-passages-ji/10-passages-ji.htm" rel="nofollow">Chord Progression on the Harmonic Overtone Series</a> <a class="wiki_link_ext" href="http://sonic-arts.org/hill/10-passages-ji/06_hill_chord-progression-on-harmonic-series.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Dave%20Hill">Dave Hill</a><br />
<br />
; {{w|Karlheinz Stockhausen}}
<a class="wiki_link_ext" href="http://www.i-ching-music.com/FREE102.html" rel="nofollow">Planetary Ripples</a> by Richard Burdick<br />
* {{w|Stimmung|''Stimmung''}} (1968)
<br />
* {{w|Sternklang|''Sternklang''}} (1971)
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Stimmung" rel="nofollow">Stimmung</a> by Karlheinz Stockhausen<br />
Various by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Georg_Friedrich_Haas" rel="nofollow">Georg Friedrich Haas</a><br />
* [https://www.youtube.com/watch?v=ECLEbVXoTvA Harmonic series 4-8, 8-16 and 16-32 on the Lumatone] (2022)
<br />
Various played with <a class="wiki_link_ext" href="http://www.fujara.sk/audio_samples.htm" rel="nofollow">Fujara</a> (slovak overtone flute)<br />
; [[Chris Vaisvil]]
Various by <a class="wiki_link_ext" href="http://www.soundwell.com/music-e.htm" rel="nofollow">SoundWell</a> (&quot;Snake&quot; overtone flute)<br />
Various by <a class="wiki_link_ext" href="http://www.spectralvoices.com/review.htm" rel="nofollow">Spectral Voices</a> (meditative new age with overtone singing)<br />
Various by <a class="wiki_link_ext" href="http://www.stimmhorn.ch/" rel="nofollow">Stimmhorn</a> (experimental alphorn and yodeling combined with overtone singing)<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Music based on the overtone series-See also:"></a><!-- ws:end:WikiTextHeadingRule:8 -->See also:</h2>
<a class="wiki_link" href="/First%20Five%20Octaves%20of%20the%20Harmonic%20Series">First Five Octaves of the Harmonic Series</a><br />
<a class="wiki_link" href="/The%20Prime%20Harmonic%20Series">The Prime Harmonic Series</a></body></html></pre></div>
* [[First Five Octaves of the Harmonic Series]]
* [[Overtone scales]]
* [[List of octave-reduced harmonics]]
* [[Prime harmonic series]]
* [[Mike Sheiman's Very Easy Scale Building From The Harmonic Series Page]]
* [[8th Octave Overtone Tuning]]
* [[Johannes Kotschy]]
== External links ==
* [https://en.wikipedia.org/wiki/Spectral_music Spectral music article on Wikipedia]
* [http://www.naturton-musik.de/ www.naturton-musik.de]{{dead link}} - 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.
* [https://www.xing.com/net/overtonenetwork Oberton-Netzwerk (Xing)]{{dead link}} - German-speaking group dedicated to overtone music on the social network platform [http://www.xing.com Xing]. Microtonal music in general is welcome, too.
The harmonic series is a sequence of tones generated by whole-number frequency ratios 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").
Note that the terms overtone and overtone series are not quite synonymous with harmonic and harmonic series, respectively, although interchangeable usage is also attested. Technically speaking, overtone series excludes the starting fundamental, so the 2nd harmonic is the 1st overtone. Because of that distinction, the math of the "overtone series" is off by one. So, "harmonic series" is arguably the preferred standard.
In just intonation theory, the harmonic series is often treated as the foundation of consonance.
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.
Harmonic series on A, partials 1 to 16, notated in HEJI.
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-limitotonality which can be equated via octave equivalence to other versions of the complete q-limit otonal chord.
Music based on the harmonic series
The chord of nature is the name sometimes given to the harmonic series, or the series up to a certain stopping point, regarded as a chord.
Steps between adjacent members of the harmonic series are called "superparticular," and they appear in the form (n+1)/n (e.g. 4/3, 28/27, 33/32).
One might compose with the harmonic series by, for instance:
Tuning to the first several harmonics over one fundamental;
Tuning to an octave-repeating slice of the harmonic series for use as a scale (for instance harmonics 8 though 16, 12 through 24, 20 through 40... see overtone scales);
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".)
www.naturton-musik.de[dead link] - 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
Oberton-Netzwerk (Xing)[dead link] - German-speaking group dedicated to overtone music on the social network platform Xing. Microtonal music in general is welcome, too.
