240edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 145412129 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 150986767 - 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>2010- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-06-29 15:12:55 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>150986767</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 240edo divides the octave into 240 steps of exactly five cents each. | <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 240edo divides the octave into 240 steps of exactly five cents each. One important use for is in tuning marvel temperament and marvel's extension to spectacle temperament. | ||
If we round off to the nearest five cents, we end up with a [[Vals and Tuning Space|val]] (mapping to primes) for 240edo of <240 380 557 674|. This tempers out the [[http://en.wikipedia.org/wiki/Septimal_kleisma|septimal kleisma]] of 225/224, with the resultant errors (two cents flat for the fifth, a little over a cent flat and sharp, respectively, for the major third and the 7/4) about as low as it is possible to achieve. Retuning 5-limit scales to 240edo is a simple and often very effective way to to make them function as 7-limit scales while retaining very accurate tuning. | If we round off to the nearest five cents, we end up with a [[Vals and Tuning Space|val]] (mapping to primes) for 240edo of <240 380 557 674|. This tempers out the [[http://en.wikipedia.org/wiki/Septimal_kleisma|septimal kleisma]] of 225/224, with the resultant errors (two cents flat for the fifth, a little over a cent flat and sharp, respectively, for the major third and the 7/4) about as low as it is possible to achieve. Retuning 5-limit scales to 240edo is a simple and often very effective way to to make them function as 7-limit scales while retaining very accurate tuning. | ||
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1165. | 1165. | ||
1200. | 1200. | ||
==Links== | |||
[[Shaahin Mohajeri]], an Iranian Tombak player and composer, calls his personal [[http://sites.google.com/site/240edo/|Google site]] "240edo", where he makes the point that five cents is a size close to the [[Just noticeable difference|just noticeable difference]] between pitches. | |||
</pre></div> | </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>240edo</title></head><body>The 240edo divides the octave into 240 steps of exactly five cents each. | <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>240edo</title></head><body>The 240edo divides the octave into 240 steps of exactly five cents each. One important use for is in tuning marvel temperament and marvel's extension to spectacle temperament.<br /> | ||
<br /> | <br /> | ||
If we round off to the nearest five cents, we end up with a <a class="wiki_link" href="/Vals%20and%20Tuning%20Space">val</a> (mapping to primes) for 240edo of &lt;240 380 557 674|. This tempers out the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_kleisma" rel="nofollow">septimal kleisma</a> of 225/224, with the resultant errors (two cents flat for the fifth, a little over a cent flat and sharp, respectively, for the major third and the 7/4) about as low as it is possible to achieve. Retuning 5-limit scales to 240edo is a simple and often very effective way to to make them function as 7-limit scales while retaining very accurate tuning.<br /> | If we round off to the nearest five cents, we end up with a <a class="wiki_link" href="/Vals%20and%20Tuning%20Space">val</a> (mapping to primes) for 240edo of &lt;240 380 557 674|. This tempers out the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_kleisma" rel="nofollow">septimal kleisma</a> of 225/224, with the resultant errors (two cents flat for the fifth, a little over a cent flat and sharp, respectively, for the major third and the 7/4) about as low as it is possible to achieve. Retuning 5-limit scales to 240edo is a simple and often very effective way to to make them function as 7-limit scales while retaining very accurate tuning.<br /> | ||
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1085.<br /> | 1085.<br /> | ||
1165.<br /> | 1165.<br /> | ||
1200.</body></html></pre></div> | 1200.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Links"></a><!-- ws:end:WikiTextHeadingRule:2 -->Links</h2> | |||
<a class="wiki_link" href="/Shaahin%20Mohajeri">Shaahin Mohajeri</a>, an Iranian Tombak player and composer, calls his personal <a class="wiki_link_ext" href="http://sites.google.com/site/240edo/" rel="nofollow">Google site</a> &quot;240edo&quot;, where he makes the point that five cents is a size close to the <a class="wiki_link" href="/Just%20noticeable%20difference">just noticeable difference</a> between pitches.</body></html></pre></div> | |||