89edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
89edo divides the octave into 89 steps of size 13.48 cents each, and tempers out the commas 126/125, 1728/1715, 32805/32768, 2401/2400, 176/175, 243/242, 441/440 and 540/539. It is an especially good tuning for [[Starling_temperaments|myna temperament]], both in the 7-limit, tempering out 126/126 and 1728/1715, and in the 11-limit, where 176/175 is tempered out also. It is likewise a good tuning for the rank three temperament thrush, tempering out 126/125 and 176/175.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:igliashon|igliashon]] and made on <tt>2012-12-10 14:28:02 UTC</tt>.<br>
: The original revision id was <tt>390968994</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">89edo divides the octave into 89 steps of size 13.48 cents each, and tempers out the commas 126/125, 1728/1715, 32805/32768, 2401/2400, 176/175, 243/242, 441/440 and 540/539. It is an especially good tuning for [[Starling temperaments|myna temperament]], both in the 7-limit, tempering out 126/126 and 1728/1715, and in the 11-limit, where 176/175 is tempered out also. It is likewise a good tuning for the rank three temperament thrush, tempering out 126/125 and 176/175.


89 has a fifth less than a cent flat and a major third less than five cents sharp, with a 7 two cents sharp and an 11 1.5 cents sharp. It thus delivers reasonably good 11-limit harmony and very good no-fives harmony along with the very useful approximations represented by its commas.
89 has a fifth less than a cent flat and a major third less than five cents sharp, with a 7 two cents sharp and an 11 1.5 cents sharp. It thus delivers reasonably good 11-limit harmony and very good no-fives harmony along with the very useful approximations represented by its commas.


89edo is the 24th [[prime numbers|prime]] edo.
89edo is the 24th [[prime_numbers|prime]] edo.


=Scales=  
=Scales=
[[myna7]]
[[myna7|myna7]]
[[myna11]]
[[myna15]]


= = </pre></div>
[[myna11|myna11]]
<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;89edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;89edo divides the octave into 89 steps of size 13.48 cents each, and tempers out the commas 126/125, 1728/1715, 32805/32768, 2401/2400, 176/175, 243/242, 441/440 and 540/539. It is an especially good tuning for &lt;a class="wiki_link" href="/Starling%20temperaments"&gt;myna temperament&lt;/a&gt;, both in the 7-limit, tempering out 126/126 and 1728/1715, and in the 11-limit, where 176/175 is tempered out also. It is likewise a good tuning for the rank three temperament thrush, tempering out 126/125 and 176/175.&lt;br /&gt;
[[myna15|myna15]]
&lt;br /&gt;
 
89 has a fifth less than a cent flat and a major third less than five cents sharp, with a 7 two cents sharp and an 11 1.5 cents sharp. It thus delivers reasonably good 11-limit harmony and very good no-fives harmony along with the very useful approximations represented by its commas.&lt;br /&gt;
= =
&lt;br /&gt;
[[Category:89edo]]
89edo is the 24th &lt;a class="wiki_link" href="/prime%20numbers"&gt;prime&lt;/a&gt; edo.&lt;br /&gt;
[[Category:edo]]
&lt;br /&gt;
[[Category:listen]]
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Scales&lt;/h1&gt;
[[Category:myna]]
&lt;a class="wiki_link" href="/myna7"&gt;myna7&lt;/a&gt;&lt;br /&gt;
[[Category:prime_edo]]
&lt;a class="wiki_link" href="/myna11"&gt;myna11&lt;/a&gt;&lt;br /&gt;
[[Category:thrush]]
&lt;a class="wiki_link" href="/myna15"&gt;myna15&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt; &lt;/h1&gt;
&lt;/body&gt;&lt;/html&gt;</pre></div>