4296edo: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 317701072 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 317845392 - 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:genewardsmith|genewardsmith]] and made on <tt>2012-04- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-04-05 03:39:48 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>317845392</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 4296 equal division divides the octave into 4296 steps of 0.2793 cents each, which means that one cent is exactly 3.58 steps of 4296 edo. It is an extraordinarily strong 5-limit system, tempering out raider, |71 -99 37>, pirate, |-90 -15 49> and the Kirnberger atom, |161 -84 -12>. It is divisible by 12 358 times, and is potentially of use as a device for constructing 5-limit 12-note circulating temperaments. From that point of view, one might note that 81/80 is 77 steps, 531441/524288, the Pythagorean comma, 84 steps, and 32805/32768, the schisma, 7 steps, making it exactly 1/12 of a Pythagorean comma and 1/11 of a syntonic comma, useful approximations when dealing with this problem. Senior, |-17 62 -35>, fortune, |-107 47 14> and the monzisma, |54 -37 2>, are all one step of 4296et.</pre></div> | <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 4296 equal division divides the octave into 4296 steps of 0.2793 cents each, which means that one cent is exactly 3.58 steps of 4296 edo. It is an extraordinarily strong 5-limit system, tempering out raider, |71 -99 37>, pirate, |-90 -15 49> and the Kirnberger atom, |161 -84 -12>. In the 7-limit, it tempers out the landscape comma, 250047/250000, and so supports the 7-limit version of the 612&1848 temperament. | ||
It is divisible by 12 358 times, and is potentially of use as a device for constructing 5-limit 12-note circulating temperaments. From that point of view, one might note that 81/80 is 77 steps, 531441/524288, the Pythagorean comma, 84 steps, and 32805/32768, the schisma, 7 steps, making it exactly 1/12 of a Pythagorean comma and 1/11 of a syntonic comma, useful approximations when dealing with this problem. Senior, |-17 62 -35>, fortune, |-107 47 14> and the monzisma, |54 -37 2>, are all one step of 4296et. </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"><html><head><title>4296edo</title></head><body>The 4296 equal division divides the octave into 4296 steps of 0.2793 cents each, which means that one cent is exactly 3.58 steps of 4296 edo. It is an extraordinarily strong 5-limit system, tempering out raider, |71 -99 37&gt;, pirate, |-90 -15 49&gt; and the Kirnberger atom, |161 -84 -12&gt;. It is divisible by 12 358 times, and is potentially of use as a device for constructing 5-limit 12-note circulating temperaments. From that point of view, one might note that 81/80 is 77 steps, 531441/524288, the Pythagorean comma, 84 steps, and 32805/32768, the schisma, 7 steps, making it exactly 1/12 of a Pythagorean comma and 1/11 of a syntonic comma, useful approximations when dealing with this problem. Senior, |-17 62 -35&gt;, fortune, |-107 47 14&gt; and the monzisma, |54 -37 2&gt;, are all one step of 4296et.</body></html></pre></div> | <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>4296edo</title></head><body>The 4296 equal division divides the octave into 4296 steps of 0.2793 cents each, which means that one cent is exactly 3.58 steps of 4296 edo. It is an extraordinarily strong 5-limit system, tempering out raider, |71 -99 37&gt;, pirate, |-90 -15 49&gt; and the Kirnberger atom, |161 -84 -12&gt;. In the 7-limit, it tempers out the landscape comma, 250047/250000, and so supports the 7-limit version of the 612&amp;1848 temperament.<br /> | ||
<br /> | |||
It is divisible by 12 358 times, and is potentially of use as a device for constructing 5-limit 12-note circulating temperaments. From that point of view, one might note that 81/80 is 77 steps, 531441/524288, the Pythagorean comma, 84 steps, and 32805/32768, the schisma, 7 steps, making it exactly 1/12 of a Pythagorean comma and 1/11 of a syntonic comma, useful approximations when dealing with this problem. Senior, |-17 62 -35&gt;, fortune, |-107 47 14&gt; and the monzisma, |54 -37 2&gt;, are all one step of 4296et.</body></html></pre></div> | |||
Revision as of 03:39, 5 April 2012
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2012-04-05 03:39:48 UTC.
- The original revision id was 317845392.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The 4296 equal division divides the octave into 4296 steps of 0.2793 cents each, which means that one cent is exactly 3.58 steps of 4296 edo. It is an extraordinarily strong 5-limit system, tempering out raider, |71 -99 37>, pirate, |-90 -15 49> and the Kirnberger atom, |161 -84 -12>. In the 7-limit, it tempers out the landscape comma, 250047/250000, and so supports the 7-limit version of the 612&1848 temperament. It is divisible by 12 358 times, and is potentially of use as a device for constructing 5-limit 12-note circulating temperaments. From that point of view, one might note that 81/80 is 77 steps, 531441/524288, the Pythagorean comma, 84 steps, and 32805/32768, the schisma, 7 steps, making it exactly 1/12 of a Pythagorean comma and 1/11 of a syntonic comma, useful approximations when dealing with this problem. Senior, |-17 62 -35>, fortune, |-107 47 14> and the monzisma, |54 -37 2>, are all one step of 4296et.
Original HTML content:
<html><head><title>4296edo</title></head><body>The 4296 equal division divides the octave into 4296 steps of 0.2793 cents each, which means that one cent is exactly 3.58 steps of 4296 edo. It is an extraordinarily strong 5-limit system, tempering out raider, |71 -99 37>, pirate, |-90 -15 49> and the Kirnberger atom, |161 -84 -12>. In the 7-limit, it tempers out the landscape comma, 250047/250000, and so supports the 7-limit version of the 612&1848 temperament.<br /> <br /> It is divisible by 12 358 times, and is potentially of use as a device for constructing 5-limit 12-note circulating temperaments. From that point of view, one might note that 81/80 is 77 steps, 531441/524288, the Pythagorean comma, 84 steps, and 32805/32768, the schisma, 7 steps, making it exactly 1/12 of a Pythagorean comma and 1/11 of a syntonic comma, useful approximations when dealing with this problem. Senior, |-17 62 -35>, fortune, |-107 47 14> and the monzisma, |54 -37 2>, are all one step of 4296et.</body></html>