Prime interval: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A '''prime interval''' is a musical interval which as a ratio of frequencies is a [[prime_numbers|prime number]]; that is, a number such as 2, 3, 5, 7, ... which is divisible only by itself and 1. Any musical interval in the [[Harmonic_Limit|p-limit]] can be expressed in terms of a product of prime numbers less than or equal to p.
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>2011-08-10 04:35:10 UTC</tt>.<br>
: The original revision id was <tt>245196839</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">A **prime interval** is a musical interval which as a ratio of frequencies is a [[prime numbers|prime number]]; that is, a number such as 2, 3, 5, 7, ... which is divisible only by itself and 1. Any musical interval in the [[Harmonic Limit|p-limit]] can be expressed in terms of a product of prime numbers less than or equal to p.


Question: Is [[5_3|5/3]] a prime interval?
Question: Is [[5/3|5/3]] a prime interval?


== see also ==
== see also ==
* [[Octave]]</pre></div>
<ul><li>[[Octave|Octave]]</li></ul>     [[Category:term]]
<h4>Original HTML content:</h4>
[[Category:todo:simplify]]
<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;prime interval&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;strong&gt;prime interval&lt;/strong&gt; is a musical interval which as a ratio of frequencies is a &lt;a class="wiki_link" href="/prime%20numbers"&gt;prime number&lt;/a&gt;; that is, a number such as 2, 3, 5, 7, ... which is divisible only by itself and 1. Any musical interval in the &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;p-limit&lt;/a&gt; can be expressed in terms of a product of prime numbers less than or equal to p.&lt;br /&gt;
&lt;br /&gt;
Question: Is &lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt; a prime interval?&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-see also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt; see also &lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Octave"&gt;Octave&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

A prime interval is a musical interval which as a ratio of frequencies is a prime number; that is, a number such as 2, 3, 5, 7, ... which is divisible only by itself and 1. Any musical interval in the p-limit can be expressed in terms of a product of prime numbers less than or equal to p.

Question: Is 5/3 a prime interval?

see also