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>2011-09-10 18:51:46 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-10 22:14:46 UTC</tt>.<br>

: The original revision id was <tt>~~252694434~~</tt>.<br>

: The original revision id was <tt>252725770</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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=Travsversal listings=

Below is a listing of some Z-polygon transverals and ~~qquasitransversals~~ for various well-known scales. Reading these into Scala and using the indicated subgroup generators for the horizonal and vertical factors in the "Lattice and player" under the "Analyze" pull-down menu in Scala, lattice diagrams of the convex closure of the scales in various planar temperaments can be obtained. Tempering the transversal in whatever tuning you favor you can make use of these convex closures; in fact, for microtemperaments such as breedsmic or ragismic you can keep the just intonation tuning and consider it tempered. The Scala Temper command gives a number of options, and another tempering possibility is to use the edo with the optimal patent val. The list below therefore covers some of the same ground as [[Diaconv scales]], but without giving an explicit tempering, something which is easily accomplished inside of Scala.

Below is a listing of some Z-polygon transverals and oblique transversals for various well-known scales. Reading these into Scala and using the indicated subgroup generators for the horizonal and vertical factors in the "Lattice and player" under the "Analyze" pull-down menu in Scala, lattice diagrams of the convex closure of the scales in various planar temperaments can be obtained. Tempering the transversal in whatever tuning you favor you can make use of these convex closures; in fact, for microtemperaments such as breedsmic or ragismic you can keep the just intonation tuning and consider it tempered. The Scala Temper command gives a number of options, and another tempering possibility is to use the edo with the optimal patent val. The list below therefore covers some of the same ground as [[Diaconv scales]], but without giving an explicit tempering, something which is easily accomplished inside of Scala.

=Septimal hexany=

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<br />

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

Below is a listing of some Z-polygon transverals and ~~qquasitransversals~~ for various well-known scales. Reading these into Scala and using the indicated subgroup generators for the horizonal and vertical factors in the &quot;Lattice and player&quot; under the &quot;Analyze&quot; pull-down menu in Scala, lattice diagrams of the convex closure of the scales in various planar temperaments can be obtained. Tempering the transversal in whatever tuning you favor you can make use of these convex closures; in fact, for microtemperaments such as breedsmic or ragismic you can keep the just intonation tuning and consider it tempered. The Scala Temper command gives a number of options, and another tempering possibility is to use the edo with the optimal patent val. The list below therefore covers some of the same ground as <a class="wiki_link" href="/Diaconv%20scales">Diaconv scales</a>, but without giving an explicit tempering, something which is easily accomplished inside of Scala.<br />

Below is a listing of some Z-polygon transverals and oblique transversals for various well-known scales. Reading these into Scala and using the indicated subgroup generators for the horizonal and vertical factors in the &quot;Lattice and player&quot; under the &quot;Analyze&quot; pull-down menu in Scala, lattice diagrams of the convex closure of the scales in various planar temperaments can be obtained. Tempering the transversal in whatever tuning you favor you can make use of these convex closures; in fact, for microtemperaments such as breedsmic or ragismic you can keep the just intonation tuning and consider it tempered. The Scala Temper command gives a number of options, and another tempering possibility is to use the edo with the optimal patent val. The list below therefore covers some of the same ground as <a class="wiki_link" href="/Diaconv%20scales">Diaconv scales</a>, but without giving an explicit tempering, something which is easily accomplished inside of Scala.<br />

<br />

<h1 id="toc3"><a name="Septimal hexany"></a>Septimal hexany</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>2011-09-10 18:51:46 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-10 22:14:46 UTC</tt>.<br>
-: The original revision id was <tt>252694434</tt>.<br>
+: The original revision id was <tt>252725770</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: @@
 =Travsversal listings=
-Below is a listing of some Z-polygon transverals and qquasitransversals for various well-known scales. Reading these into Scala and using the indicated subgroup generators for the horizonal and vertical factors in the "Lattice and player" under the "Analyze" pull-down menu in Scala, lattice diagrams of the convex closure of the scales in various planar temperaments can be obtained. Tempering the transversal in whatever tuning you favor you can make use of these convex closures; in fact, for microtemperaments such as breedsmic or ragismic you can keep the just intonation tuning and consider it tempered. The Scala Temper command gives a number of options, and another tempering possibility is to use the edo with the optimal patent val. The list below therefore covers some of the same ground as [[Diaconv scales]], but without giving an explicit tempering, something which is easily accomplished inside of Scala.
+Below is a listing of some Z-polygon transverals and oblique transversals for various well-known scales. Reading these into Scala and using the indicated subgroup generators for the horizonal and vertical factors in the "Lattice and player" under the "Analyze" pull-down menu in Scala, lattice diagrams of the convex closure of the scales in various planar temperaments can be obtained. Tempering the transversal in whatever tuning you favor you can make use of these convex closures; in fact, for microtemperaments such as breedsmic or ragismic you can keep the just intonation tuning and consider it tempered. The Scala Temper command gives a number of options, and another tempering possibility is to use the edo with the optimal patent val. The list below therefore covers some of the same ground as [[Diaconv scales]], but without giving an explicit tempering, something which is easily accomplished inside of Scala.
 =Septimal hexany=
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 &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;
-Below is a listing of some Z-polygon transverals and qquasitransversals for various well-known scales. Reading these into Scala and using the indicated subgroup generators for the horizonal and vertical factors in the &amp;quot;Lattice and player&amp;quot; under the &amp;quot;Analyze&amp;quot; pull-down menu in Scala, lattice diagrams of the convex closure of the scales in various planar temperaments can be obtained. Tempering the transversal in whatever tuning you favor you can make use of these convex closures; in fact, for microtemperaments such as breedsmic or ragismic you can keep the just intonation tuning and consider it tempered. The Scala Temper command gives a number of options, and another tempering possibility is to use the edo with the optimal patent val. The list below therefore covers some of the same ground as &lt;a class="wiki_link" href="/Diaconv%20scales"&gt;Diaconv scales&lt;/a&gt;, but without giving an explicit tempering, something which is easily accomplished inside of Scala.&lt;br /&gt;
+Below is a listing of some Z-polygon transverals and oblique transversals for various well-known scales. Reading these into Scala and using the indicated subgroup generators for the horizonal and vertical factors in the &amp;quot;Lattice and player&amp;quot; under the &amp;quot;Analyze&amp;quot; pull-down menu in Scala, lattice diagrams of the convex closure of the scales in various planar temperaments can be obtained. Tempering the transversal in whatever tuning you favor you can make use of these convex closures; in fact, for microtemperaments such as breedsmic or ragismic you can keep the just intonation tuning and consider it tempered. The Scala Temper command gives a number of options, and another tempering possibility is to use the edo with the optimal patent val. The list below therefore covers some of the same ground as &lt;a class="wiki_link" href="/Diaconv%20scales"&gt;Diaconv scales&lt;/a&gt;, but without giving an explicit tempering, something which is easily accomplished inside of Scala.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Septimal hexany"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Septimal hexany&lt;/h1&gt;