Octagar family: 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:<br>

: This revision was by author [[User:~~genewardsmith~~|~~genewardsmith~~]] and made on <tt>2010-09-~~25 14~~:17~~:30~~ UTC</tt>.<br>

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-26 09:05:17 UTC</tt>.<br>

: The original revision id was <tt>~~165363865~~</tt>.<br>

: The original revision id was <tt>165446135</tt>.<br>

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

: The revision comment was: <tt>added some links</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">Octagar temperament is the 7-limit planar temperament tempering out 4000/3969. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7 odd limit minimax tuning has fifths and 7s 2.245 cents sharp, with just major thirds.

<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">Octagar temperament is the 7-limit [[planar temperament]] tempering out 4000/3969. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7 odd limit minimax tuning has fifths and 7s 2.245 cents sharp, with just major thirds.

===Vital statistics===

Line 14:

[|1 0 0 0>, |5/6 1/3 1/2 -1/3>,

|0 0 1 0>, |5/6 -2/3 1/2 2/3>]

Eigenmonzos: 2, 7/6, 5/4

[[Eigenmonzo|Eigenmonzos]]: 2, 7/6, 5/4

9-limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp

[|1 0 0 0>, |5/8 1/2 3/8 -1/4>,

|0 0 1 0>, |5/4 -1 3/4 1/2>]

Eigenmonzos: 2, 5/4, 9/7

[[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 9/7

Lattice basis: 63/50 length 0.8966, 21/20 length 1.0605

Angle(63/50, 21/20) = 97.743 cents

Map to lattice: [<0 -1 -2 -1|, <0 -1 0 2|]

EDOs: 162, 189, 215, 230</pre></div>

[[edo|EDOs]]: [[162edo|162]], [[189edo|189]], [[215edo|215]], [[230edo|230]]</pre></div>

<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>Octagar family</title></head><body>Octagar temperament is the 7-limit planar temperament tempering out 4000/3969. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7 odd limit minimax tuning has fifths and 7s 2.245 cents sharp, with just major thirds.<br />

<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>Octagar family</title></head><body>Octagar temperament is the 7-limit <a class="wiki_link" href="/planar%20temperament">planar temperament</a> tempering out 4000/3969. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7 odd limit minimax tuning has fifths and 7s 2.245 cents sharp, with just major thirds.<br />

<br />

<h3 id="toc0"><a name="x--Vital statistics"></a>Vital statistics</h3>

Line 34:

[|1 0 0 0&gt;, |5/6 1/3 1/2 -1/3&gt;, <br />

|0 0 1 0&gt;, |5/6 -2/3 1/2 2/3&gt;]<br />

Eigenmonzos: 2, 7/6, 5/4<br />

<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/6, 5/4<br />

<br />

9-limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp<br />

[|1 0 0 0&gt;, |5/8 1/2 3/8 -1/4&gt;, <br />

|0 0 1 0&gt;, |5/4 -1 3/4 1/2&gt;]<br />

Eigenmonzos: 2, 5/4, 9/7<br />

<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4, 9/7<br />

<br />

Lattice basis: 63/50 length 0.8966, 21/20 length 1.0605<br />

Angle(63/50, 21/20) = 97.743 cents<br />

Map to lattice: [&lt;0 -1 -2 -1|, &lt;0 -1 0 2|]<br />

EDOs: 162, 189, 215, 230</body></html></pre></div>

@@ 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:genewardsmith|genewardsmith]] and made on <tt>2010-09-25 14:17:30 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-26 09:05:17 UTC</tt>.<br>
-: The original revision id was <tt>165363865</tt>.<br>
+: The original revision id was <tt>165446135</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>added some links</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">Octagar temperament is the 7-limit planar temperament tempering out 4000/3969. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7 odd limit minimax tuning has fifths and 7s 2.245 cents sharp, with just major thirds.
+<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">Octagar temperament is the 7-limit [[planar temperament]] tempering out 4000/3969. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7 odd limit minimax tuning has fifths and 7s 2.245 cents sharp, with just major thirds.
 ===Vital statistics===
@@ Line 14: / Line 14: @@
 [|1 0 0 0&gt;, |5/6 1/3 1/2 -1/3&gt;,
 |0 0 1 0&gt;, |5/6 -2/3 1/2 2/3&gt;]
-Eigenmonzos: 2, 7/6, 5/4
+[[Eigenmonzo|Eigenmonzos]]: 2, 7/6, 5/4
 -limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp
 [|1 0 0 0&gt;, |5/8 1/2 3/8 -1/4&gt;,
 |0 0 1 0&gt;, |5/4 -1 3/4 1/2&gt;]
-Eigenmonzos: 2, 5/4, 9/7
+[[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 9/7
 Lattice basis: 63/50 length 0.8966, 21/20 length 1.0605
 Angle(63/50, 21/20) = 97.743 cents
 Map to lattice: [&lt;0 -1 -2 -1|, &lt;0 -1 0 2|]
-EDOs: 162, 189, 215, 230</pre></div>
+[[edo|EDOs]]: [[162edo|162]], [[189edo|189]], [[215edo|215]], [[230edo|230]]</pre></div>
 <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;Octagar family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Octagar temperament is the 7-limit planar temperament tempering out 4000/3969. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7 odd limit minimax tuning has fifths and 7s 2.245 cents sharp, with just major thirds.&lt;br /&gt;
+<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;Octagar family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Octagar temperament is the 7-limit &lt;a class="wiki_link" href="/planar%20temperament"&gt;planar temperament&lt;/a&gt; tempering out 4000/3969. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7 odd limit minimax tuning has fifths and 7s 2.245 cents sharp, with just major thirds.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Vital statistics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Vital statistics&lt;/h3&gt;
@@ Line 34: / Line 34: @@
 [|1 0 0 0&amp;gt;, |5/6 1/3 1/2 -1/3&amp;gt;, &lt;br /&gt;
 |0 0 1 0&amp;gt;, |5/6 -2/3 1/2 2/3&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 7/6, 5/4&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 7/6, 5/4&lt;br /&gt;
 &lt;br /&gt;
 -limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp&lt;br /&gt;
 [|1 0 0 0&amp;gt;, |5/8 1/2 3/8 -1/4&amp;gt;, &lt;br /&gt;
 |0 0 1 0&amp;gt;, |5/4 -1 3/4 1/2&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 5/4, 9/7&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 5/4, 9/7&lt;br /&gt;
 &lt;br /&gt;
 Lattice basis: 63/50 length 0.8966, 21/20 length 1.0605&lt;br /&gt;
 Angle(63/50, 21/20) = 97.743 cents&lt;br /&gt;
 Map to lattice: [&amp;lt;0 -1 -2 -1|, &amp;lt;0 -1 0 2|]&lt;br /&gt;
-EDOs: 162, 189, 215, 230&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: &lt;a class="wiki_link" href="/162edo"&gt;162&lt;/a&gt;, &lt;a class="wiki_link" href="/189edo"&gt;189&lt;/a&gt;, &lt;a class="wiki_link" href="/215edo"&gt;215&lt;/a&gt;, &lt;a class="wiki_link" href="/230edo"&gt;230&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>