Harmonic: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>~~2011~~-08-~~09 15~~:39:58 UTC</tt>.<br>

: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2012-09-06 19:03:18 UTC</tt>.<br>

: The original revision id was <tt>~~245087725~~</tt>.<br>

: The original revision id was <tt>362668078</tt>.<br>

: The revision comment was: <tt></tt><br>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>

<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">Harmonics are the basic building blocks of sounds. They may also be referred to as partials or overtones, but these words can have different meanings in the same context. //~~Harmonics~~// usually ~~refer~~ to the sine wave components which make up a sound, which are whole-number multiples of the fundamental frequency (lowest tone). //Overtones// ~~only~~ consist of all harmonics except for the fundamental; thus the 1st overtone is actually the 2nd harmonic, and so on. Unlike harmonics, //Partials// do not need to be related by whole-number multiples, but may instead be completely inharmonic.

<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">Harmonics are the basic building blocks of periodic sounds. They may also be referred to as partials or overtones, but these words can have different meanings in the same context. //Harmonic// usually refers to the sine wave components which make up a sound, which are whole-number multiples of the fundamental frequency (lowest tone). //Overtones// consist of all harmonics except for the fundamental; thus the 1st overtone is actually the 2nd harmonic, and so on. Unlike harmonics, //Partials// do not need to be related by whole-number multiples, but may instead be completely inharmonic.

Harmonic oscillators such as a bowed violin or the human voice contains a nearly-infinite amount of harmonics, starting with 1f, 2f, 3f, 4f... where f is the fundamental frequency. Each of these harmonics ~~have~~ a distinct amplitude, generally decreasing as the 'height' of the harmonic increases. The ~~distance~~ between two of these harmonics is a [[Gallery of Just Intervals|just interval]].

Harmonic oscillators such as a bowed violin or the human voice contains a nearly-infinite amount of harmonics, starting with 1f, 2f, 3f, 4f... where f is the fundamental frequency. Each of these harmonics has a distinct amplitude, generally decreasing as the 'height' of the harmonic increases. The span between any two of these harmonics is called a [[Gallery of Just Intervals|just interval]].

The ancient Greeks called these harmonics "multiples," and considered them to be a unique interval class separate from [[superparticular]] and [[Superpartient|superpartient]] ~~numbers~~.

The ancient Greeks called these harmonics "multiples," and considered them to be a unique interval class separate from [[superparticular]] and [[Superpartient|superpartient]] intervals.

http://en.wikipedia.org/wiki/Harmonic</pre></div>

<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>Harmonic</title></head><body>Harmonics are the basic building blocks of sounds. They may also be referred to as partials or overtones, but these words can have different meanings in the same context. <em>~~Harmonics~~</em> usually ~~refer~~ to the sine wave components which make up a sound, which are whole-number multiples of the fundamental frequency (lowest tone). <em>Overtones</em> ~~only~~ consist of all harmonics except for the fundamental; thus the 1st overtone is actually the 2nd harmonic, and so on. Unlike harmonics, <em>Partials</em> do not need to be related by whole-number multiples, but may instead be completely inharmonic.<br />

<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>Harmonic</title></head><body>Harmonics are the basic building blocks of periodic sounds. They may also be referred to as partials or overtones, but these words can have different meanings in the same context. <em>Harmonic</em> usually refers to the sine wave components which make up a sound, which are whole-number multiples of the fundamental frequency (lowest tone). <em>Overtones</em> consist of all harmonics except for the fundamental; thus the 1st overtone is actually the 2nd harmonic, and so on. Unlike harmonics, <em>Partials</em> do not need to be related by whole-number multiples, but may instead be completely inharmonic.<br />

<br />

Harmonic oscillators such as a bowed violin or the human voice contains a nearly-infinite amount of harmonics, starting with 1f, 2f, 3f, 4f... where f is the fundamental frequency. Each of these harmonics ~~have~~ a distinct amplitude, generally decreasing as the 'height' of the harmonic increases. The ~~distance~~ between two of these harmonics is a <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">just interval</a>.<br />

Harmonic oscillators such as a bowed violin or the human voice contains a nearly-infinite amount of harmonics, starting with 1f, 2f, 3f, 4f... where f is the fundamental frequency. Each of these harmonics has a distinct amplitude, generally decreasing as the 'height' of the harmonic increases. The span between any two of these harmonics is called a <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">just interval</a>.<br />

<br />

The ancient Greeks called these harmonics &quot;multiples,&quot; and considered them to be a unique interval class separate from <a class="wiki_link" href="/superparticular">superparticular</a> and <a class="wiki_link" href="/Superpartient">superpartient</a> ~~numbers~~.<br />

The ancient Greeks called these harmonics &quot;multiples,&quot; and considered them to be a unique interval class separate from <a class="wiki_link" href="/superparticular">superparticular</a> and <a class="wiki_link" href="/Superpartient">superpartient</a> intervals.<br />

<br />

<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Harmonic" rel="nofollow">http://en.wikipedia.org/wiki/Harmonic</a></body></html></pre></div>

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 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2011-08-09 15:39:58 UTC</tt>.<br>
+: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2012-09-06 19:03:18 UTC</tt>.<br>
-: The original revision id was <tt>245087725</tt>.<br>
+: The original revision id was <tt>362668078</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">Harmonics are the basic building blocks of sounds. They may also be referred to as partials or overtones, but these words can have different meanings in the same context. //Harmonics// usually refer to the sine wave components which make up a sound, which are whole-number multiples of the fundamental frequency (lowest tone). //Overtones// only consist of all harmonics except for the fundamental; thus the 1st overtone is actually the 2nd harmonic, and so on. Unlike harmonics, //Partials// do not need to be related by whole-number multiples, but may instead be completely inharmonic.
+<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">Harmonics are the basic building blocks of periodic sounds. They may also be referred to as partials or overtones, but these words can have different meanings in the same context. //Harmonic// usually refers to the sine wave components which make up a sound, which are whole-number multiples of the fundamental frequency (lowest tone). //Overtones// consist of all harmonics except for the fundamental; thus the 1st overtone is actually the 2nd harmonic, and so on. Unlike harmonics, //Partials// do not need to be related by whole-number multiples, but may instead be completely inharmonic.
-Harmonic oscillators such as a bowed violin or the human voice contains a nearly-infinite amount of harmonics, starting with 1f, 2f, 3f, 4f... where f is the fundamental frequency. Each of these harmonics have a distinct amplitude, generally decreasing as the 'height' of the harmonic increases. The distance between two of these harmonics is a [[Gallery of Just Intervals|just interval]].
+Harmonic oscillators such as a bowed violin or the human voice contains a nearly-infinite amount of harmonics, starting with 1f, 2f, 3f, 4f... where f is the fundamental frequency. Each of these harmonics has a distinct amplitude, generally decreasing as the 'height' of the harmonic increases. The span between any two of these harmonics is called a [[Gallery of Just Intervals|just interval]].
-The ancient Greeks called these harmonics "multiples," and considered them to be a unique interval class separate from [[superparticular]] and [[Superpartient|superpartient]] numbers.
+The ancient Greeks called these harmonics "multiples," and considered them to be a unique interval class separate from [[superparticular]] and [[Superpartient|superpartient]] intervals.
 http://en.wikipedia.org/wiki/Harmonic</pre></div>
 <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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Harmonic&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Harmonics are the basic building blocks of sounds. They may also be referred to as partials or overtones, but these words can have different meanings in the same context. &lt;em&gt;Harmonics&lt;/em&gt; usually refer to the sine wave components which make up a sound, which are whole-number multiples of the fundamental frequency (lowest tone). &lt;em&gt;Overtones&lt;/em&gt; only consist of all harmonics except for the fundamental; thus the 1st overtone is actually the 2nd harmonic, and so on. Unlike harmonics, &lt;em&gt;Partials&lt;/em&gt; do not need to be related by whole-number multiples, but may instead be completely inharmonic.&lt;br /&gt;
+<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Harmonic&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Harmonics are the basic building blocks of periodic sounds. They may also be referred to as partials or overtones, but these words can have different meanings in the same context. &lt;em&gt;Harmonic&lt;/em&gt; usually refers to the sine wave components which make up a sound, which are whole-number multiples of the fundamental frequency (lowest tone). &lt;em&gt;Overtones&lt;/em&gt; consist of all harmonics except for the fundamental; thus the 1st overtone is actually the 2nd harmonic, and so on. Unlike harmonics, &lt;em&gt;Partials&lt;/em&gt; do not need to be related by whole-number multiples, but may instead be completely inharmonic.&lt;br /&gt;
 &lt;br /&gt;
-Harmonic oscillators such as a bowed violin or the human voice contains a nearly-infinite amount of harmonics, starting with 1f, 2f, 3f, 4f... where f is the fundamental frequency. Each of these harmonics have a distinct amplitude, generally decreasing as the 'height' of the harmonic increases. The distance between two of these harmonics is a &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;just interval&lt;/a&gt;.&lt;br /&gt;
+Harmonic oscillators such as a bowed violin or the human voice contains a nearly-infinite amount of harmonics, starting with 1f, 2f, 3f, 4f... where f is the fundamental frequency. Each of these harmonics has a distinct amplitude, generally decreasing as the 'height' of the harmonic increases. The span between any two of these harmonics is called a &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;just interval&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;
-The ancient Greeks called these harmonics &amp;quot;multiples,&amp;quot; and considered them to be a unique interval class separate from &lt;a class="wiki_link" href="/superparticular"&gt;superparticular&lt;/a&gt; and &lt;a class="wiki_link" href="/Superpartient"&gt;superpartient&lt;/a&gt; numbers.&lt;br /&gt;
+The ancient Greeks called these harmonics &amp;quot;multiples,&amp;quot; and considered them to be a unique interval class separate from &lt;a class="wiki_link" href="/superparticular"&gt;superparticular&lt;/a&gt; and &lt;a class="wiki_link" href="/Superpartient"&gt;superpartient&lt;/a&gt; intervals.&lt;br /&gt;
 &lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextUrlRule:10:http://en.wikipedia.org/wiki/Harmonic --&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Harmonic" rel="nofollow"&gt;http://en.wikipedia.org/wiki/Harmonic&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:10 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>