Starling temperaments: 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-~~19 18~~:13:48 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-11-14 01:31:12 UTC</tt>.<br>

: The original revision id was <tt>~~163775827~~</tt>.<br>

: The original revision id was <tt>179271497</tt>.<br>

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

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===Myna temperament===

In addition to 126/125, myna tempers out 1728/1715, the orwell comma, and 2401/2400, the breedsma. It can also be described as the 27&31 temperament, or in terms of its wedgie <<10 9 7 -9 -17 -9||. It has 6/5 as a generator, and [[58edo]] can be used as a tuning, with [[89edo]] being a better one, and fans of round amounts in cents may like [[120edo]]. It is also possible to tune myna with pure fifths by taking 6^(1/10) as the generator. Myna extends naturally but with much increased complexity to the 11 and 13 limits.

Commas: 126/125, 1728/1715

7 and 9 limit minimax

[|1 0 0 0>, |0 1 0 0 >, |9/10 9/10 0 0>, |17/10 7/10 0 0>]

Eigenmonzos: 2, 3

Map: [<1 9 9 8|, <0 -10 -9 -7|]

Generators: 2, 5/3

===Sensi temperament===

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<h3 id="toc0"><a name="x--Myna temperament"></a>Myna temperament</h3>

In addition to 126/125, myna tempers out 1728/1715, the orwell comma, and 2401/2400, the breedsma. It can also be described as the 27&amp;31 temperament, or in terms of its wedgie &lt;&lt;10 9 7 -9 -17 -9||. It has 6/5 as a generator, and <a class="wiki_link" href="/58edo">58edo</a> can be used as a tuning, with <a class="wiki_link" href="/89edo">89edo</a> being a better one, and fans of round amounts in cents may like <a class="wiki_link" href="/120edo">120edo</a>. It is also possible to tune myna with pure fifths by taking 6^(1/10) as the generator. Myna extends naturally but with much increased complexity to the 11 and 13 limits.<br />

<br />

Commas: 126/125, 1728/1715<br />

<br />

7 and 9 limit minimax<br />

[|1 0 0 0&gt;, |0 1 0 0 &gt;, |9/10 9/10 0 0&gt;, |17/10 7/10 0 0&gt;]<br />

Eigenmonzos: 2, 3<br />

<br />

Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br />

Generators: 2, 5/3<br />

<br />

<h3 id="toc1"><a name="x--Sensi temperament"></a>Sensi temperament</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>2010-09-19 18:13:48 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-11-14 01:31:12 UTC</tt>.<br>
-: The original revision id was <tt>163775827</tt>.<br>
+: The original revision id was <tt>179271497</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 10: / Line 10: @@
 ===Myna temperament===
 In addition to 126/125, myna tempers out 1728/1715, the orwell comma, and 2401/2400, the breedsma. It can also be described as the 27&amp;31 temperament, or in terms of its wedgie &lt;&lt;10 9 7 -9 -17 -9||. It has 6/5 as a generator, and [[58edo]] can be used as a tuning, with [[89edo]] being a better one, and fans of round amounts in cents may like [[120edo]]. It is also possible to tune myna with pure fifths by taking 6^(1/10) as the generator. Myna extends naturally but with much increased complexity to the 11 and 13 limits.
+Commas: 126/125, 1728/1715
+and 9 limit minimax
+[|1 0 0 0&gt;, |0 1 0 0 &gt;, |9/10 9/10 0 0&gt;, |17/10 7/10 0 0&gt;]
+Eigenmonzos: 2, 3
+Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
+Generators: 2, 5/3
 ===Sensi temperament===
@@ Line 53: / Line 62: @@
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Myna temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Myna temperament&lt;/h3&gt;
 In addition to 126/125, myna tempers out 1728/1715, the orwell comma, and 2401/2400, the breedsma. It can also be described as the 27&amp;amp;31 temperament, or in terms of its wedgie &amp;lt;&amp;lt;10 9 7 -9 -17 -9||. It has 6/5 as a generator, and &lt;a class="wiki_link" href="/58edo"&gt;58edo&lt;/a&gt; can be used as a tuning, with &lt;a class="wiki_link" href="/89edo"&gt;89edo&lt;/a&gt; being a better one, and fans of round amounts in cents may like &lt;a class="wiki_link" href="/120edo"&gt;120edo&lt;/a&gt;. It is also possible to tune myna with pure fifths by taking 6^(1/10) as the generator. Myna extends naturally but with much increased complexity to the 11 and 13 limits.&lt;br /&gt;
+&lt;br /&gt;
+Commas: 126/125, 1728/1715&lt;br /&gt;
+&lt;br /&gt;
+and 9 limit minimax&lt;br /&gt;
+[|1 0 0 0&amp;gt;, |0 1 0 0 &amp;gt;, |9/10 9/10 0 0&amp;gt;, |17/10 7/10 0 0&amp;gt;]&lt;br /&gt;
+Eigenmonzos: 2, 3&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 9 9 8|, &amp;lt;0 -10 -9 -7|]&lt;br /&gt;
+Generators: 2, 5/3&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--Sensi temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Sensi temperament&lt;/h3&gt;