Tetracot 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~~-12-~~16 17~~:21:39 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-01-29 18:02:56 UTC</tt>.<br>

: The original revision id was <tt>~~188803379~~</tt>.<br>

: The original revision id was <tt>197086990</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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===Monkey and Bunya===

Monkey, the monkey puzzle tree temperament, tempers out the keema and has a wedgie <<4 9 -15 5 -35 -60||. The keema, 875/864, is the amount by which three just minor thirds fall short of 7/4, and tells us the 7/4 of monkey is reached by three minor thirds in succession. It can be described as the 34&41 temperament, if the vals in question are taken to be patent vals, meaning that n*log2(prime) rounded to the nearest integer gives the mapping. [[41edo]] is an excellent tuning for monkey, and has the effect of making monkey identical to bunya with the same tuning.

Monkey, the monkey puzzle tree temperament, tempers out the keema and has a wedgie <<4 9 -15 5 -35 -60||. The keema, 875/864, is the amount by which three just minor thirds fall short of 7/4, and tells us the 7/4 of monkey is reached by three minor thirds in succession. It can be described as the 34&41 temperament, if the vals in question are taken to be [[Patent val|patent vals]], meaning that n*log2(prime) rounded to the nearest integer gives the mapping. [[41edo]] is an excellent tuning for monkey, and has the effect of making monkey identical to bunya with the same tuning.

Bunya, the bunya-bunya tree temperament, adds 225/224 to the list of commas and may be described as the 41&75 temperament. It has <<4 9 26 5 30 35|| as a wedgie, and [[41edo]] can again be used as a tuning, in which case it is the same as monkey. However an excellent alternative is (14)^(1/26) as a generator, giving just 7s and an improved value for 5, at the cost of a slightly sharper, but still less than a cent sharp, fifth. Octave stretching, if employed, also serves to distinguish bunya from monkey, as its octaves should be stretched considerably less.

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<br />

<h3 id="toc1"><a name="x-Seven limit children-Monkey and Bunya"></a>Monkey and Bunya</h3>

Monkey, the monkey puzzle tree temperament, tempers out the keema and has a wedgie &lt;&lt;4 9 -15 5 -35 -60||. The keema, 875/864, is the amount by which three just minor thirds fall short of 7/4, and tells us the 7/4 of monkey is reached by three minor thirds in succession. It can be described as the 34&amp;41 temperament, if the vals in question are taken to be patent vals, meaning that n*log2(prime) rounded to the nearest integer gives the mapping. <a class="wiki_link" href="/41edo">41edo</a> is an excellent tuning for monkey, and has the effect of making monkey identical to bunya with the same tuning.<br />

Monkey, the monkey puzzle tree temperament, tempers out the keema and has a wedgie &lt;&lt;4 9 -15 5 -35 -60||. The keema, 875/864, is the amount by which three just minor thirds fall short of 7/4, and tells us the 7/4 of monkey is reached by three minor thirds in succession. It can be described as the 34&amp;41 temperament, if the vals in question are taken to be <a class="wiki_link" href="/Patent%20val">patent vals</a>, meaning that n*log2(prime) rounded to the nearest integer gives the mapping. <a class="wiki_link" href="/41edo">41edo</a> is an excellent tuning for monkey, and has the effect of making monkey identical to bunya with the same tuning.<br />

<br />

Bunya, the bunya-bunya tree temperament, adds 225/224 to the list of commas and may be described as the 41&amp;75 temperament. It has &lt;&lt;4 9 26 5 30 35|| as a wedgie, and <a class="wiki_link" href="/41edo">41edo</a> can again be used as a tuning, in which case it is the same as monkey. However an excellent alternative is (14)^(1/26) as a generator, giving just 7s and an improved value for 5, at the cost of a slightly sharper, but still less than a cent sharp, fifth. Octave stretching, if employed, also serves to distinguish bunya from monkey, as its octaves should be stretched considerably less.<br />

@@ 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>2010-12-16 17:21:39 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-01-29 18:02:56 UTC</tt>.<br>
-: The original revision id was <tt>188803379</tt>.<br>
+: The original revision id was <tt>197086990</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 17: / Line 17: @@
 ===Monkey and Bunya===
-Monkey, the monkey puzzle tree temperament, tempers out the keema and has a wedgie &lt;&lt;4 9 -15 5 -35 -60||. The keema, 875/864, is the amount by which three just minor thirds fall short of 7/4, and tells us the 7/4 of monkey is reached by three minor thirds in succession. It can be described as the 34&amp;41 temperament, if the vals in question are taken to be patent vals, meaning that n*log2(prime) rounded to the nearest integer gives the mapping. [[41edo]] is an excellent tuning for monkey, and has the effect of making monkey identical to bunya with the same tuning.
+Monkey, the monkey puzzle tree temperament, tempers out the keema and has a wedgie &lt;&lt;4 9 -15 5 -35 -60||. The keema, 875/864, is the amount by which three just minor thirds fall short of 7/4, and tells us the 7/4 of monkey is reached by three minor thirds in succession. It can be described as the 34&amp;41 temperament, if the vals in question are taken to be [[Patent val|patent vals]], meaning that n*log2(prime) rounded to the nearest integer gives the mapping. [[41edo]] is an excellent tuning for monkey, and has the effect of making monkey identical to bunya with the same tuning.
 Bunya, the bunya-bunya tree temperament, adds 225/224 to the list of commas and may be described as the 41&amp;75 temperament. It has &lt;&lt;4 9 26 5 30 35|| as a wedgie, and [[41edo]] can again be used as a tuning, in which case it is the same as monkey. However an excellent alternative is (14)^(1/26) as a generator, giving just 7s and an improved value for 5, at the cost of a slightly sharper, but still less than a cent sharp, fifth. Octave stretching, if employed, also serves to distinguish bunya from monkey, as its octaves should be stretched considerably less.
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Seven limit children-Monkey and Bunya"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Monkey and Bunya&lt;/h3&gt;
-Monkey, the monkey puzzle tree temperament, tempers out the keema and has a wedgie &amp;lt;&amp;lt;4 9 -15 5 -35 -60||. The keema, 875/864, is the amount by which three just minor thirds fall short of 7/4, and tells us the 7/4 of monkey is reached by three minor thirds in succession. It can be described as the 34&amp;amp;41 temperament, if the vals in question are taken to be patent vals, meaning that n*log2(prime) rounded to the nearest integer gives the mapping. &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt; is an excellent tuning for monkey, and has the effect of making monkey identical to bunya with the same tuning.&lt;br /&gt;
+Monkey, the monkey puzzle tree temperament, tempers out the keema and has a wedgie &amp;lt;&amp;lt;4 9 -15 5 -35 -60||. The keema, 875/864, is the amount by which three just minor thirds fall short of 7/4, and tells us the 7/4 of monkey is reached by three minor thirds in succession. It can be described as the 34&amp;amp;41 temperament, if the vals in question are taken to be &lt;a class="wiki_link" href="/Patent%20val"&gt;patent vals&lt;/a&gt;, meaning that n*log2(prime) rounded to the nearest integer gives the mapping. &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt; is an excellent tuning for monkey, and has the effect of making monkey identical to bunya with the same tuning.&lt;br /&gt;
 &lt;br /&gt;
 Bunya, the bunya-bunya tree temperament, adds 225/224 to the list of commas and may be described as the 41&amp;amp;75 temperament. It has &amp;lt;&amp;lt;4 9 26 5 30 35|| as a wedgie, and &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt; can again be used as a tuning, in which case it is the same as monkey. However an excellent alternative is (14)^(1/26) as a generator, giving just 7s and an improved value for 5, at the cost of a slightly sharper, but still less than a cent sharp, fifth. Octave stretching, if employed, also serves to distinguish bunya from monkey, as its octaves should be stretched considerably less.&lt;br /&gt;