Meantone 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:

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-08 18:42:49 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-08 18:57:04 UTC</tt>.

: The original revision id was <tt>~~208616070~~</tt>.

: The original revision id was <tt>208620004</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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Commas: 49/48, 81/80

Godzilla has wedgie <<2 8 1 8 -4 -20||, and tempers out 49/48, equating 8/7 with 7/6. Two of the step-and-a-half intervals these represent give a fourth, and so step-and-a-half generators generate godzilla. [[19edo]] is the perfect godzilla tuning, so much so that's there's not much point in looking elsewhere. Hence it can be more or less equated with taking 4/19 as a generator. ~~Godzilla is not well supplied with good [[MOSScales|~~MOS ~~scales]]~~, ~~though it has a pentatonic scale which could serve as an alternative to [[5edo]]~~, ~~but other options exist for those wanting to explore it~~.

Godzilla has wedgie <<2 8 1 8 -4 -20||, and tempers out 49/48, equating 8/7 with 7/6. Two of the step-and-a-half intervals these represent give a fourth, and so step-and-a-half generators generate godzilla. [[19edo]] is the perfect godzilla tuning, so much so that's there's not much point in looking elsewhere. Hence it can be more or less equated with taking 4/19 as a generator. MOS are of 5, 9, or 14 notes.

[[POTE tuning|POTE generator]]: 252.635

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Map: [<1 0 -4 2|, <0 2 8 1|]

Wedgie: <<2 8 1 8 -4 -20||

EDOs: 5, 14, 19

EDOs: 5, 9, 14, 19

Badness: 0.0267

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Commas: 49/48, 81/80

Godzilla has wedgie &lt;&lt;2 8 1 8 -4 -20||, and tempers out 49/48, equating 8/7 with 7/6. Two of the step-and-a-half intervals these represent give a fourth, and so step-and-a-half generators generate godzilla. <a class="wiki_link" href="/19edo">19edo</a> is the perfect godzilla tuning, so much so that's there's not much point in looking elsewhere. Hence it can be more or less equated with taking 4/19 as a generator. ~~Godzilla is not well supplied with good <a class="wiki_link" href="/MOSScales">~~MOS ~~scales</a>~~, ~~though it has a pentatonic scale which could serve as an alternative to <a class="wiki_link" href="/5edo">5edo</a>~~, ~~but other options exist for those wanting to explore it~~.

Godzilla has wedgie &lt;&lt;2 8 1 8 -4 -20||, and tempers out 49/48, equating 8/7 with 7/6. Two of the step-and-a-half intervals these represent give a fourth, and so step-and-a-half generators generate godzilla. <a class="wiki_link" href="/19edo">19edo</a> is the perfect godzilla tuning, so much so that's there's not much point in looking elsewhere. Hence it can be more or less equated with taking 4/19 as a generator. MOS are of 5, 9, or 14 notes.

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 252.635

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Map: [&lt;1 0 -4 2|, &lt;0 2 8 1|]

Wedgie: &lt;&lt;2 8 1 8 -4 -20||

EDOs: 5, 14, 19

EDOs: 5, 9, 14, 19

Badness: 0.0267

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Music:

By Chris Vaisvil

<a class="wiki_link_ext" href="http://tinyurl.com/25kv7cq" rel="nofollow">http://tinyurl.com/25kv7cq</a>

<a class="wiki_link_ext" href="http://tinyurl.com/25kv7cq" rel="nofollow">http://tinyurl.com/25kv7cq</a>

<a class="wiki_link_ext" href="http://tinyurl.com/24cbxse" rel="nofollow">http://tinyurl.com/24cbxse</a>

<a class="wiki_link_ext" href="http://tinyurl.com/24cbxse" rel="nofollow">http://tinyurl.com/24cbxse</a>

<h3 id="toc18"><a name="x-Squares-11-limit"></a>11-limit</h3>

@@ 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>2011-03-08 18:42:49 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-08 18:57:04 UTC</tt>.<br>
-: The original revision id was <tt>208616070</tt>.<br>
+: The original revision id was <tt>208620004</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 170: / Line 170: @@
 Commas: 49/48, 81/80
-Godzilla has wedgie &lt;&lt;2 8 1 8 -4 -20||, and tempers out 49/48, equating 8/7 with 7/6. Two of the step-and-a-half intervals these represent give a fourth, and so step-and-a-half generators generate godzilla. [[19edo]] is the perfect godzilla tuning, so much so that's there's not much point in looking elsewhere. Hence it can be more or less equated with taking 4/19 as a generator. Godzilla is not well supplied with good [[MOSScales|MOS scales]], though it has a pentatonic scale which could serve as an alternative to [[5edo]], but other options exist for those wanting to explore it.
+Godzilla has wedgie &lt;&lt;2 8 1 8 -4 -20||, and tempers out 49/48, equating 8/7 with 7/6. Two of the step-and-a-half intervals these represent give a fourth, and so step-and-a-half generators generate godzilla. [[19edo]] is the perfect godzilla tuning, so much so that's there's not much point in looking elsewhere. Hence it can be more or less equated with taking 4/19 as a generator. MOS are of 5, 9, or 14 notes.
 [[POTE tuning|POTE generator]]: 252.635
@@ Line 176: / Line 176: @@
 Map: [&lt;1 0 -4 2|, &lt;0 2 8 1|]
 Wedgie: &lt;&lt;2 8 1 8 -4 -20||
-EDOs: 5, 14, 19
+EDOs: 5, 9, 14, 19
 Badness: 0.0267
@@ Line 456: / Line 456: @@
 Commas: 49/48, 81/80&lt;br /&gt;
 &lt;br /&gt;
-Godzilla has wedgie &amp;lt;&amp;lt;2 8 1 8 -4 -20||, and tempers out 49/48, equating 8/7 with 7/6. Two of the step-and-a-half intervals these represent give a fourth, and so step-and-a-half generators generate godzilla. &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt; is the perfect godzilla tuning, so much so that's there's not much point in looking elsewhere. Hence it can be more or less equated with taking 4/19 as a generator. Godzilla is not well supplied with good &lt;a class="wiki_link" href="/MOSScales"&gt;MOS scales&lt;/a&gt;, though it has a pentatonic scale which could serve as an alternative to &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt;, but other options exist for those wanting to explore it.&lt;br /&gt;
+Godzilla has wedgie &amp;lt;&amp;lt;2 8 1 8 -4 -20||, and tempers out 49/48, equating 8/7 with 7/6. Two of the step-and-a-half intervals these represent give a fourth, and so step-and-a-half generators generate godzilla. &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt; is the perfect godzilla tuning, so much so that's there's not much point in looking elsewhere. Hence it can be more or less equated with taking 4/19 as a generator. MOS are of 5, 9, or 14 notes.&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 252.635&lt;br /&gt;
@@ Line 462: / Line 462: @@
 Map: [&amp;lt;1 0 -4 2|, &amp;lt;0 2 8 1|]&lt;br /&gt;
 Wedgie: &amp;lt;&amp;lt;2 8 1 8 -4 -20||&lt;br /&gt;
-EDOs: 5, 14, 19&lt;br /&gt;
+EDOs: 5, 9, 14, 19&lt;br /&gt;
 Badness: 0.0267&lt;br /&gt;
 &lt;br /&gt;
@@ Line 548: / Line 548: @@
 Music:&lt;br /&gt;
 By Chris Vaisvil&lt;br /&gt;
-&lt;!-- ws:start:WikiTextUrlRule:361:http://tinyurl.com/25kv7cq --&gt;&lt;a class="wiki_link_ext" href="http://tinyurl.com/25kv7cq" rel="nofollow"&gt;http://tinyurl.com/25kv7cq&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:361 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextUrlRule:359:http://tinyurl.com/25kv7cq --&gt;&lt;a class="wiki_link_ext" href="http://tinyurl.com/25kv7cq" rel="nofollow"&gt;http://tinyurl.com/25kv7cq&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:359 --&gt;&lt;br /&gt;
-&lt;!-- ws:start:WikiTextUrlRule:362:http://tinyurl.com/24cbxse --&gt;&lt;a class="wiki_link_ext" href="http://tinyurl.com/24cbxse" rel="nofollow"&gt;http://tinyurl.com/24cbxse&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:362 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextUrlRule:360:http://tinyurl.com/24cbxse --&gt;&lt;a class="wiki_link_ext" href="http://tinyurl.com/24cbxse" rel="nofollow"&gt;http://tinyurl.com/24cbxse&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:360 --&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc18"&gt;&lt;a name="x-Squares-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;11-limit&lt;/h3&gt;