46032edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The ''46032 equal division'' divides the octave into 46032 equal parts of 0.0261 cents each. This creates the unit known as the '''flu''', or five-limit unit, in terms of which the cent is precisely 38.36 flus. The flu is useful when crafting irregular or circulating temperaments with twelve notes to the octave with an eye to its 5-limit approximations.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-14 14:38:13 UTC</tt>.<br>
: The original revision id was <tt>241369003</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">The //46032 equal division// divides the octave into 46032 equal parts of 0.0261 cents each. This creates the unit known as the **flu**, or five-limit unit, in terms of which the cent is precisely 38.36 flus. The flu is useful when crafting irregular or circulating temperaments with twelve notes to the octave with an eye to its 5-limit approximations.


In the 5-limit the 46032 division tempers out the atom, |161 -84 -12&gt; as well as |454 427 -487&gt;. It maps the syntonic comma, 81/80, to 825 flus and the Pythagorean comma, 531441/524228, to 900 flus. Both of these are composite numbers divisible by 3 and 5, which is convenient for the purpose of twelve-note tempering, and 825/11 = 900/12 = 75 flus, which is the measure in flus of the schisma, 32805/32768.</pre></div>
In the 5-limit the 46032 division tempers out the atom, |161 -84 -12&gt; as well as |454 427 -487&gt;. It maps the syntonic comma, 81/80, to 825 flus and the Pythagorean comma, 531441/524228, to 900 flus. Both of these are composite numbers divisible by 3 and 5, which is convenient for the purpose of twelve-note tempering, and 825/11 = 900/12 = 75 flus, which is the measure in flus of the schisma, 32805/32768.
<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;46032edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;46032 equal division&lt;/em&gt; divides the octave into 46032 equal parts of 0.0261 cents each. This creates the unit known as the &lt;strong&gt;flu&lt;/strong&gt;, or five-limit unit, in terms of which the cent is precisely 38.36 flus. The flu is useful when crafting irregular or circulating temperaments with twelve notes to the octave with an eye to its 5-limit approximations.&lt;br /&gt;
&lt;br /&gt;
In the 5-limit the 46032 division tempers out the atom, |161 -84 -12&amp;gt; as well as |454 427 -487&amp;gt;. It maps the syntonic comma, 81/80, to 825 flus and the Pythagorean comma, 531441/524228, to 900 flus. Both of these are composite numbers divisible by 3 and 5, which is convenient for the purpose of twelve-note tempering, and 825/11 = 900/12 = 75 flus, which is the measure in flus of the schisma, 32805/32768.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The 46032 equal division divides the octave into 46032 equal parts of 0.0261 cents each. This creates the unit known as the flu, or five-limit unit, in terms of which the cent is precisely 38.36 flus. The flu is useful when crafting irregular or circulating temperaments with twelve notes to the octave with an eye to its 5-limit approximations.

In the 5-limit the 46032 division tempers out the atom, |161 -84 -12> as well as |454 427 -487>. It maps the syntonic comma, 81/80, to 825 flus and the Pythagorean comma, 531441/524228, to 900 flus. Both of these are composite numbers divisible by 3 and 5, which is convenient for the purpose of twelve-note tempering, and 825/11 = 900/12 = 75 flus, which is the measure in flus of the schisma, 32805/32768.

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