Gallery of Z-polygon transversals: 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>2011-09-12 12:05:52 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-12 20:18:18 UTC</tt>.<br>

: The original revision id was <tt>~~253171516~~</tt>.<br>

: The original revision id was <tt>253344854</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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=Oblique transversals=

Sometimes a normal sort of transversal using only two odd primes cannot be found for a given planar temperament, in which case the transversal will not work with Scala's lattice drawing command. In these cases an //oblique// transversal can be given; these have completely incorrect values considered as approximations, but with a correctly chosen val or tuning map, will give correct results for the temperament tuning. Since there is no reason not to, we use 2.3.5 5-limit vals for oblique vals, and give a corresponding //valid val// which will give correct N-edo tunings for the given oblique transversal. Oblique transversals are listed with an asterisk, like Roger Maris supposedly was.

Sometimes a normal sort of transversal using only two odd primes cannot be found for a given planar temperament, in which case the transversal will not work with Scala's lattice drawing command. In these cases an //oblique// transversal can be given; these have completely incorrect values considered as approximations, but with a correctly chosen val or tuning map, will give correct results for the temperament tuning. Since there is no reason not to, we use 2.3.5 5-limit vals for oblique vals, and give a corresponding //valid val// which will give correct N-edo tunings for the given oblique transversal. In Scala, under the pull-down menu for Modify, scroll down to Project, and check the Project the val option. Put the valid val into the box, apply it, and you transform the oblique transversal into the correct tuning. Oblique transversals are listed with an asterisk, like Roger Maris supposedly was.

=Travsversal listings=

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<br />

<h1 id="toc1"><a name="Oblique transversals"></a>Oblique transversals</h1>

Sometimes a normal sort of transversal using only two odd primes cannot be found for a given planar temperament, in which case the transversal will not work with Scala's lattice drawing command. In these cases an <em>oblique</em> transversal can be given; these have completely incorrect values considered as approximations, but with a correctly chosen val or tuning map, will give correct results for the temperament tuning. Since there is no reason not to, we use 2.3.5 5-limit vals for oblique vals, and give a corresponding <em>valid val</em> which will give correct N-edo tunings for the given oblique transversal. Oblique transversals are listed with an asterisk, like Roger Maris supposedly was.<br />

Sometimes a normal sort of transversal using only two odd primes cannot be found for a given planar temperament, in which case the transversal will not work with Scala's lattice drawing command. In these cases an <em>oblique</em> transversal can be given; these have completely incorrect values considered as approximations, but with a correctly chosen val or tuning map, will give correct results for the temperament tuning. Since there is no reason not to, we use 2.3.5 5-limit vals for oblique vals, and give a corresponding <em>valid val</em> which will give correct N-edo tunings for the given oblique transversal. In Scala, under the pull-down menu for Modify, scroll down to Project, and check the Project the val option. Put the valid val into the box, apply it, and you transform the oblique transversal into the correct tuning. Oblique transversals are listed with an asterisk, like Roger Maris supposedly was.<br />

<br />

<h1 id="toc2"><a name="Travsversal listings"></a>Travsversal listings</h1>

@@ 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>2011-09-12 12:05:52 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-12 20:18:18 UTC</tt>.<br>
-: The original revision id was <tt>253171516</tt>.<br>
+: The original revision id was <tt>253344854</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 14: / Line 14: @@
 =Oblique transversals=
-Sometimes a normal sort of transversal using only two odd primes cannot be found for a given planar temperament, in which case the transversal will not work with Scala's lattice drawing command. In these cases an //oblique// transversal can be given; these have completely incorrect values considered as approximations, but with a correctly chosen val or tuning map, will give correct results for the temperament tuning. Since there is no reason not to, we use 2.3.5 5-limit vals for oblique vals, and give a corresponding //valid val// which will give correct N-edo tunings for the given oblique transversal. Oblique transversals are listed with an asterisk, like Roger Maris supposedly was.
+Sometimes a normal sort of transversal using only two odd primes cannot be found for a given planar temperament, in which case the transversal will not work with Scala's lattice drawing command. In these cases an //oblique// transversal can be given; these have completely incorrect values considered as approximations, but with a correctly chosen val or tuning map, will give correct results for the temperament tuning. Since there is no reason not to, we use 2.3.5 5-limit vals for oblique vals, and give a corresponding //valid val// which will give correct N-edo tunings for the given oblique transversal. In Scala, under the pull-down menu for Modify, scroll down to Project, and check the Project the val option. Put the valid val into the box, apply it, and you transform the oblique transversal into the correct tuning. Oblique transversals are listed with an asterisk, like Roger Maris supposedly was.
 =Travsversal listings=
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Oblique transversals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Oblique transversals&lt;/h1&gt;
-Sometimes a normal sort of transversal using only two odd primes cannot be found for a given planar temperament, in which case the transversal will not work with Scala's lattice drawing command. In these cases an &lt;em&gt;oblique&lt;/em&gt; transversal can be given; these have completely incorrect values considered as approximations, but with a correctly chosen val or tuning map, will give correct results for the temperament tuning. Since there is no reason not to, we use 2.3.5 5-limit vals for oblique vals, and give a corresponding &lt;em&gt;valid val&lt;/em&gt; which will give correct N-edo tunings for the given oblique transversal. Oblique transversals are listed with an asterisk, like Roger Maris supposedly was.&lt;br /&gt;
+Sometimes a normal sort of transversal using only two odd primes cannot be found for a given planar temperament, in which case the transversal will not work with Scala's lattice drawing command. In these cases an &lt;em&gt;oblique&lt;/em&gt; transversal can be given; these have completely incorrect values considered as approximations, but with a correctly chosen val or tuning map, will give correct results for the temperament tuning. Since there is no reason not to, we use 2.3.5 5-limit vals for oblique vals, and give a corresponding &lt;em&gt;valid val&lt;/em&gt; which will give correct N-edo tunings for the given oblique transversal. In Scala, under the pull-down menu for Modify, scroll down to Project, and check the Project the val option. Put the valid val into the box, apply it, and you transform the oblique transversal into the correct tuning. Oblique transversals are listed with an asterisk, like Roger Maris supposedly was.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Travsversal listings"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Travsversal listings&lt;/h1&gt;