34edo: Difference between revisions

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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:

: This revision was by author [[User:guest|guest]] and made on <tt>2012-04-19 03:32:38 UTC</tt>.

: This revision was by author [[User:guest|guest]] and made on <tt>2012-04-19 07:18:35 UTC</tt>.

: The original revision id was <tt>~~322497592~~</tt>.

: The original revision id was <tt>322564068</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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<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">= =

34edo divides the octave into 34 equal steps of approximately 35.29412 [[cent]]s. 34edo contains two [[xenharmonic/17edo|17edo]]'s and the half-octave tritone of 600 cents.

34edo divides the octave into 34 equal steps of approximately 35.29412 [[xenharmonic/cent|cent]]s. 34edo contains two [[xenharmonic/17edo|17edo]]'s and the half-octave tritone of 600 cents.

===Approximations to Just Intonation===

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===Linear temperaments===

[[List of 34et rank two temperaments by badness]]

[[xenharmonic/List of 34et rank two temperaments by badness|List of 34et rank two temperaments by badness]]

||~ Periods

per octave ||~ Generator ||~ Cents ||~ Linear temperaments ||

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||= 20000/19683 || | 5 -9 4 > ||> 27.660 ||= Minimal Diesis ||= Tetracot Comma || ||

||= 2048/2025 ||< | 11 -4 -2 > ||> 19.553 ||= Diaschisma ||= Semicomma Majeur ||= ||

||= 393216/390625 || |

||= 393216/390625 || | 17 1 -8 > ||> 11.445 ||= Würschmidt comma ||= || ||

~~~~17 1 -8 ~~></span~~> ||> 11.445 ||= Würschmidt comma ||= || ||

||= 15625/15552 || | -6 -5 6 > ||> 8.1073 ||= Kleisma ||= Semicomma Majeur || ||

||= 1212717/1210381 ||< | 23 6 -14 > ||> 3.338 ||= Vishnuzma ||= Semisuper ||= ||

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34edo divides the octave into 34 equal steps of approximately 35.29412 <a class="wiki_link" href="/cent">cent</a>s. 34edo contains two <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17edo</a>'s and the half-octave tritone of 600 cents.

34edo divides the octave into 34 equal steps of approximately 35.29412 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent">cent</a>s. 34edo contains two <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17edo</a>'s and the half-octave tritone of 600 cents.

<h3 id="toc1"><a name="x--Approximations to Just Intonation"></a>Approximations to Just Intonation</h3>

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<h3 id="toc3"><a name="x--Linear temperaments"></a>Linear temperaments</h3>

<a class="wiki_link" href="/List%20of%2034et%20rank%20two%20temperaments%20by%20badness">List of 34et rank two temperaments by badness</a>

<a class="wiki_link" href="http://xenharmonic.wikispaces.com/List%20of%2034et%20rank%20two%20temperaments%20by%20badness">List of 34et rank two temperaments by badness</a>

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<td style="text-align: center;">393216/390625

</td>

<td>|~~ ~~

<td>| 17 1 -8 &gt;

~~~~17 1 -8 &~~gt;</span&~~gt;

</td>

<td style="text-align: right;">11.445

@@ Line 1: / 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:guest|guest]] and made on <tt>2012-04-19 03:32:38 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2012-04-19 07:18:35 UTC</tt>.<br>
-: The original revision id was <tt>322497592</tt>.<br>
+: The original revision id was <tt>322564068</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 8: / Line 8: @@
 <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">= =
-edo divides the octave into 34 equal steps of approximately 35.29412 [[cent]]s. 34edo contains two [[xenharmonic/17edo|17edo]]'s and the half-octave tritone of 600 cents.
+edo divides the octave into 34 equal steps of approximately 35.29412 [[xenharmonic/cent|cent]]s. 34edo contains two [[xenharmonic/17edo|17edo]]'s and the half-octave tritone of 600 cents.
 ===Approximations to Just Intonation===
@@ Line 19: / Line 19: @@
 ===Linear temperaments===
-[[List of 34et rank two temperaments by badness]]
+[[xenharmonic/List of 34et rank two temperaments by badness|List of 34et rank two temperaments by badness]]
 ||~ Periods
 per octave ||~ Generator ||~ Cents ||~ Linear temperaments ||
@@ Line 85: / Line 85: @@
 ||= 20000/19683 || &lt;span style="background-color: #ffffff; display: block; text-align: left;"&gt;| 5 -9 4 &gt;&lt;/span&gt; ||&gt; &lt;span style="background-color: #ffffff; display: block; text-align: right;"&gt;27.660&lt;/span&gt; ||= Minimal Diesis ||= Tetracot Comma ||   ||
 ||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;2048/2025&lt;/span&gt; ||&lt; | 11 -4 -2 &gt; ||&gt; 19.553 ||= Diaschisma ||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;Semicomma Majeur&lt;/span&gt; ||=   ||
-||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;393216/390625&lt;/span&gt; || |
+||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;393216/390625&lt;/span&gt; || | 17 1 -8 &gt; ||&gt; &lt;span style="background-color: #ffffff; display: block; text-align: right;"&gt;11.445&lt;/span&gt; ||= Würschmidt comma ||=   ||   ||
-&lt;span style="display: block; text-align: left;"&gt;17 1 -8 &gt;&lt;/span&gt; ||&gt; &lt;span style="background-color: #ffffff; display: block; text-align: right;"&gt;11.445&lt;/span&gt; ||= Würschmidt comma ||=   ||   ||
 ||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;15625/15552&lt;/span&gt; || &lt;span style="display: block; text-align: left;"&gt;| -6 -5 6 &gt;&lt;/span&gt; ||&gt; &lt;span style="display: block; text-align: right;"&gt;8.1073&lt;/span&gt; ||= &lt;span style="display: block; text-align: center;"&gt;Kleisma&lt;/span&gt; ||= &lt;span style="display: block; text-align: center;"&gt;Semicomma Majeur&lt;/span&gt; ||   ||
 ||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;&lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;1212717/1210381&lt;/span&gt;&lt;/span&gt; ||&lt; &lt;span style="background-color: #ffffff;"&gt;| 23 6 -14 &gt;&lt;/span&gt; ||&gt; 3.338 ||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;Vishnuzma&lt;/span&gt; ||= Semisuper ||=   ||
@@ Line 108: / Line 107: @@
 <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;34edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt; &lt;/h1&gt;
   &lt;br /&gt;
-edo divides the octave into 34 equal steps of approximately 35.29412 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. 34edo contains two &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo"&gt;17edo&lt;/a&gt;'s and the half-octave tritone of 600 cents.&lt;br /&gt;
+edo divides the octave into 34 equal steps of approximately 35.29412 &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent"&gt;cent&lt;/a&gt;s. 34edo contains two &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo"&gt;17edo&lt;/a&gt;'s and the half-octave tritone of 600 cents.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--Approximations to Just Intonation"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Approximations to Just Intonation&lt;/h3&gt;
@@ Line 119: / Line 118: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x--Linear temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Linear temperaments&lt;/h3&gt;
-  &lt;a class="wiki_link" href="/List%20of%2034et%20rank%20two%20temperaments%20by%20badness"&gt;List of 34et rank two temperaments by badness&lt;/a&gt;&lt;br /&gt;
+  &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/List%20of%2034et%20rank%20two%20temperaments%20by%20badness"&gt;List of 34et rank two temperaments by badness&lt;/a&gt;&lt;br /&gt;
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          &lt;td style="text-align: center;"&gt;&lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;393216/390625&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;|&lt;br /&gt;
+         &lt;td&gt;| 17 1 -8 &amp;gt;&lt;br /&gt;
-&lt;span style="display: block; text-align: left;"&gt;17 1 -8 &amp;gt;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: right;"&gt;&lt;span style="background-color: #ffffff; display: block; text-align: right;"&gt;11.445&lt;/span&gt;&lt;br /&gt;