271edo: Difference between revisions

(12 intermediate revisions by 9 users not shown)

Line 1:

~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

~~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>2011-06-27 15:54:22 UTC</tt>.<br>~~

~~: The original revision id was <tt>239001639</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">**271 EDO** divides the [[octave]] into 271 [[equal]] intervals, each 4.428 [[cent]]s in size.

=~~Scales~~=

== Theory ==

[[~~pepperoni7~~]]

271edo is the highest edo where the [[3/2|perfect fifth]] has greater absolute error than [[12edo]]. It is in[[consistent]] in the [[5-odd-limit]]. Using the [[patent val]] nonetheless, the equal temperament [[tempering out|tempers out]] [[4000/3969]] and [[65625/65536]] in the 7-limit, [[896/891]] and 1375/1372 in the 11-limit, and [[352/351]], [[364/363]], [[676/675]], [[1575/1573]] and [[2200/2197]] in the 13-limit. It is the [[optimal patent val]] for the [[pepperoni]] temperament, tempering out 352/351 and 364/363 on the 2.3.11/7.13/7 [[subgroup]] of the 13-limit.

[[~~pepperoni12~~]]</~~pre><~~/~~div>~~

~~<h4>Original HTML content:<~~/~~h4>~~

=== Odd harmonics ===

~~<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>271edo</~~title><~~/~~head><body><strong>271 EDO<~~/~~strong> divides~~ the ~~<a class~~=~~"wiki_link" href~~=~~"/octave">octave</a> into~~ 271 ~~<a class~~=~~"wiki_link" href~~=~~"/equal">equal</a> intervals, each 4.428 <a class~~=~~"wiki_link" href~~=~~"/cent">cent</a>s in size~~.~~<br />~~

~~<br />~~

~~<h1 id~~=~~"toc0"><a name~~="Scales~~"></a>Scales</h1>~~

=== Subsets and supersets ===

~~<a class~~=~~"wiki_link" href~~=~~"/pepperoni7">pepperoni7</a><br />~~

271edo is the 58th [[prime edo]].

~~<a class="wiki_link" href="/pepperoni12">pepperoni12</a></body></html></pre></div>~~

== Scales ==

* [[Pepperoni7]]

* [[Pepperoni12]]

* [[Cantonpenta]]

[[Category:Pepperoni]]

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+{{Infobox ET}}
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
+{{ED intro}}
-: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-27 15:54:22 UTC</tt>.<br>
-: The original revision id was <tt>239001639</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">**271 EDO** divides the [[octave]] into 271 [[equal]] intervals, each 4.428 [[cent]]s in size.
-=Scales=
+== Theory ==
-[[pepperoni7]]
+edo is the highest edo where the [[3/2|perfect fifth]] has greater absolute error than [[12edo]]. It is in[[consistent]] in the [[5-odd-limit]]. Using the [[patent val]] nonetheless, the equal temperament [[tempering out|tempers out]] [[4000/3969]] and [[65625/65536]] in the 7-limit, [[896/891]] and 1375/1372 in the 11-limit, and [[352/351]], [[364/363]], [[676/675]], [[1575/1573]] and [[2200/2197]] in the 13-limit. It is the [[optimal patent val]] for the [[pepperoni]] temperament, tempering out 352/351 and 364/363 on the 2.3.11/7.13/7 [[subgroup]] of the 13-limit.
-[[pepperoni12]]</pre></div>
-<h4>Original HTML content:</h4>
+=== Odd harmonics ===
-<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;271edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;271 EDO&lt;/strong&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 271 &lt;a class="wiki_link" href="/equal"&gt;equal&lt;/a&gt; intervals, each 4.428 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s in size.&lt;br /&gt;
+{{Harmonics in equal|271}}
-&lt;br /&gt;
-&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;
+=== Subsets and supersets ===
- &lt;a class="wiki_link" href="/pepperoni7"&gt;pepperoni7&lt;/a&gt;&lt;br /&gt;
+edo is the 58th [[prime edo]].
-&lt;a class="wiki_link" href="/pepperoni12"&gt;pepperoni12&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+== Scales ==
+* [[Pepperoni7]]
+* [[Pepperoni12]]
+* [[Cantonpenta]]
+[[Category:Pepperoni]]