Octave (interval region): Difference between revisions

Wikispaces>xenwolf
**Imported revision 239282879 - Original comment: **
Wikispaces>Sarzadoce
**Imported revision 245090655 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-29 03:43:50 UTC</tt>.<br>
: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2011-08-09 15:49:00 UTC</tt>.<br>
: The original revision id was <tt>239282879</tt>.<br>
: The original revision id was <tt>245090655</tt>.<br>
: The revision comment was: <tt></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>
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>
<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">The **octave** is one of the basic [[interval]]s for the most tonal systems.  
<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">The **octave** is one of the basic [[Gallery of Just Intervals|intervals]] for the most tonal systems. It is usually called the "interval of equivalence" because tones separated by an octave are perceived to have the same or similar pitch class to the average human listener. The reason for this phenomena is probably due to the strong region of attraction of low [[harmonic entropy]], or the strong amplitude of the second [[harmonic]] in most harmonic instruments.


Its frequency ratio of [[2_1|2:1]] which is, in [[cent]]s, 1200
It has a frequency ratio of 2/1 and a size of 1200 [[cent|cents]]. It is used as the standard of (logarithmic) measurement for all just intervals.


== Links ==
==Links==  
* [[http://www.kylegann.com/Octave.html|Anatomy of an Octave]] by [[Kyle Gann]]
* [[http://www.kylegann.com/Octave.html|Anatomy of an Octave]] by [[Kyle Gann]]
* //[[http://launch.groups.yahoo.com/group/tuning/message/100427|The corrected progression of musical cells]]// - Mario Pizarro puts "imperfection of the man ear" in relation to the detectability of differences from the pure 2:1-ratio </pre></div>
* //[[http://launch.groups.yahoo.com/group/tuning/message/100427|The corrected progression of musical cells]]// - Mario Pizarro puts "imperfection of the man ear" in relation to the detectability of differences from the pure 2:1-ratio</pre></div>
<h4>Original HTML content:</h4>
<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;Octave&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;strong&gt;octave&lt;/strong&gt; is one of the basic &lt;a class="wiki_link" href="/interval"&gt;interval&lt;/a&gt;s for the most tonal systems. &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;Octave&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;strong&gt;octave&lt;/strong&gt; is one of the basic &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;intervals&lt;/a&gt; for the most tonal systems. It is usually called the &amp;quot;interval of equivalence&amp;quot; because tones separated by an octave are perceived to have the same or similar pitch class to the average human listener. The reason for this phenomena is probably due to the strong region of attraction of low &lt;a class="wiki_link" href="/harmonic%20entropy"&gt;harmonic entropy&lt;/a&gt;, or the strong amplitude of the second &lt;a class="wiki_link" href="/harmonic"&gt;harmonic&lt;/a&gt; in most harmonic instruments.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Its frequency ratio of &lt;a class="wiki_link" href="/2_1"&gt;2:1&lt;/a&gt; which is, in &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s, 1200&lt;br /&gt;
It has a frequency ratio of 2/1 and a size of 1200 &lt;a class="wiki_link" href="/cent"&gt;cents&lt;/a&gt;. It is used as the standard of (logarithmic) measurement for all just intervals.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt; Links &lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Links&lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.kylegann.com/Octave.html" rel="nofollow"&gt;Anatomy of an Octave&lt;/a&gt; by &lt;a class="wiki_link" href="/Kyle%20Gann"&gt;Kyle Gann&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100427" rel="nofollow"&gt;The corrected progression of musical cells&lt;/a&gt;&lt;/em&gt; - Mario Pizarro puts &amp;quot;imperfection of the man ear&amp;quot; in relation to the detectability of differences from the pure 2:1-ratio&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.kylegann.com/Octave.html" rel="nofollow"&gt;Anatomy of an Octave&lt;/a&gt; by &lt;a class="wiki_link" href="/Kyle%20Gann"&gt;Kyle Gann&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100427" rel="nofollow"&gt;The corrected progression of musical cells&lt;/a&gt;&lt;/em&gt; - Mario Pizarro puts &amp;quot;imperfection of the man ear&amp;quot; in relation to the detectability of differences from the pure 2:1-ratio&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>