Tour of regular temperaments: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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: This revision was by author [[User:Natebedell|Natebedell]] and made on <tt>2011-09-04 14:43:00 UTC</tt>.<br>

: This revision was by author [[User:Natebedell|Natebedell]] and made on <tt>2011-09-04 14:55:30 UTC</tt>.<br>

: The original revision id was <tt>~~250642458~~</tt>.<br>

: The original revision id was <tt>250644142</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>

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===[[Diaschismic family]]===

The diaschismic family tempers out 2048/2025, the diaschisma. It has a period of half an octave and a generator of a fifth, usually a sharpened one. Diaschismic tunings include [[12edo]], [[22edo]], [[34edo]], [[46edo]], [[56edo]], [[58edo]] and [[80edo]]. Using [[22edo]] as a tuning is associated with pajara temperament, where the intervals 50/49 and 64/63 are tempered out.

The diaschismic family tempers out 2048/2025, the diaschisma, typically defined as the diference between three octaves and four perfect fifths plus two major thirds, or the difference between an augmented sixth and a pythagorean minor seventh. It has a period of half an octave and a generator of a fifth, usually a sharpened one. Diaschismic tunings include [[12edo]], [[22edo]], [[34edo]], [[46edo]], [[56edo]], [[58edo]] and [[80edo]]. Using [[22edo]] as a tuning is associated with pajara temperament, where the intervals 50/49 and 64/63 are tempered out.

===[[Porcupine family]]===

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<h3 id="toc9"><a name="Rank 2 (including &quot;linear&quot;) temperaments--Diaschismic family"></a><a class="wiki_link" href="/Diaschismic%20family">Diaschismic family</a></h3>

The diaschismic family tempers out 2048/2025, the diaschisma. It has a period of half an octave and a generator of a fifth, usually a sharpened one. Diaschismic tunings include <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/34edo">34edo</a>, <a class="wiki_link" href="/46edo">46edo</a>, <a class="wiki_link" href="/56edo">56edo</a>, <a class="wiki_link" href="/58edo">58edo</a> and <a class="wiki_link" href="/80edo">80edo</a>. Using <a class="wiki_link" href="/22edo">22edo</a> as a tuning is associated with pajara temperament, where the intervals 50/49 and 64/63 are tempered out.<br />

The diaschismic family tempers out 2048/2025, the diaschisma, typically defined as the diference between three octaves and four perfect fifths plus two major thirds, or the difference between an augmented sixth and a pythagorean minor seventh. It has a period of half an octave and a generator of a fifth, usually a sharpened one. Diaschismic tunings include <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/34edo">34edo</a>, <a class="wiki_link" href="/46edo">46edo</a>, <a class="wiki_link" href="/56edo">56edo</a>, <a class="wiki_link" href="/58edo">58edo</a> and <a class="wiki_link" href="/80edo">80edo</a>. Using <a class="wiki_link" href="/22edo">22edo</a> as a tuning is associated with pajara temperament, where the intervals 50/49 and 64/63 are tempered out.<br />

<br />

<h3 id="toc10"><a name="Rank 2 (including &quot;linear&quot;) temperaments--Porcupine family"></a><a class="wiki_link" href="/Porcupine%20family">Porcupine family</a></h3>

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 <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:Natebedell|Natebedell]] and made on <tt>2011-09-04 14:43:00 UTC</tt>.<br>
+: This revision was by author [[User:Natebedell|Natebedell]] and made on <tt>2011-09-04 14:55:30 UTC</tt>.<br>
-: The original revision id was <tt>250642458</tt>.<br>
+: The original revision id was <tt>250644142</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>
@@ Line 51: / Line 51: @@
 ===[[Diaschismic family]]===
-The diaschismic family tempers out 2048/2025, the diaschisma. It has a period of half an octave and a generator of a fifth, usually a sharpened one. Diaschismic tunings include [[12edo]], [[22edo]], [[34edo]], [[46edo]], [[56edo]], [[58edo]] and [[80edo]]. Using [[22edo]] as a tuning is associated with pajara temperament, where the intervals 50/49 and 64/63 are tempered out.
+The diaschismic family tempers out 2048/2025, the diaschisma, typically defined as the diference between three octaves and four perfect fifths plus two major thirds, or the difference between an augmented sixth and a pythagorean minor seventh. It has a period of half an octave and a generator of a fifth, usually a sharpened one. Diaschismic tunings include [[12edo]], [[22edo]], [[34edo]], [[46edo]], [[56edo]], [[58edo]] and [[80edo]]. Using [[22edo]] as a tuning is associated with pajara temperament, where the intervals 50/49 and 64/63 are tempered out.
 ===[[Porcupine family]]===
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="Rank 2 (including &amp;quot;linear&amp;quot;) temperaments--Diaschismic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;&lt;a class="wiki_link" href="/Diaschismic%20family"&gt;Diaschismic family&lt;/a&gt;&lt;/h3&gt;
-  The diaschismic family tempers out 2048/2025, the diaschisma. It has a period of half an octave and a generator of a fifth, usually a sharpened one. Diaschismic tunings include &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, &lt;a class="wiki_link" href="/34edo"&gt;34edo&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;, &lt;a class="wiki_link" href="/56edo"&gt;56edo&lt;/a&gt;, &lt;a class="wiki_link" href="/58edo"&gt;58edo&lt;/a&gt; and &lt;a class="wiki_link" href="/80edo"&gt;80edo&lt;/a&gt;. Using &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; as a tuning is associated with pajara temperament, where the intervals 50/49 and 64/63 are tempered out.&lt;br /&gt;
+  The diaschismic family tempers out 2048/2025, the diaschisma, typically defined as the diference between three octaves and four perfect fifths plus two major thirds, or the difference between an augmented sixth and a pythagorean minor seventh. It has a period of half an octave and a generator of a fifth, usually a sharpened one. Diaschismic tunings include &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, &lt;a class="wiki_link" href="/34edo"&gt;34edo&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;, &lt;a class="wiki_link" href="/56edo"&gt;56edo&lt;/a&gt;, &lt;a class="wiki_link" href="/58edo"&gt;58edo&lt;/a&gt; and &lt;a class="wiki_link" href="/80edo"&gt;80edo&lt;/a&gt;. Using &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; as a tuning is associated with pajara temperament, where the intervals 50/49 and 64/63 are tempered out.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc10"&gt;&lt;a name="Rank 2 (including &amp;quot;linear&amp;quot;) temperaments--Porcupine family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;&lt;a class="wiki_link" href="/Porcupine%20family"&gt;Porcupine family&lt;/a&gt;&lt;/h3&gt;