Val: 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:mbattaglia1|mbattaglia1]] and made on <tt>2011-09-04 04:21:04 UTC</tt>.<br>

: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2011-09-04 19:50:58 UTC</tt>.<br>

: The original revision id was <tt>~~250578844~~</tt>.<br>

: The original revision id was <tt>250696188</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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=Definition=

A val is a map representing how the intervals in ~~an equal temperament (most abstractly,~~ a single chain of [[periods and generators|generators]]) are viewed as tempered versions of intervals in just intonation. They form the link between things like EDOs and JI, and by doing so form the basis for all of regular temperament theory.

A val is a map representing how the intervals in a single chain of [[periods and generators|generators]] - commonly an equal temperament - are viewed as tempered versions of intervals in just intonation. They form the link between things like EDOs and JI, and by doing so form the basis for all of regular temperament theory.

A val tells us which interval in the equal temperament we're going to describe as the tempered 3/2, which interval we're going to describe as the tempered 5/4, and so forth.

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<br />

<h1 id="toc0"><a name="Definition"></a>Definition</h1>

A val is a map representing how the intervals in ~~an equal temperament (most abstractly,~~ a single chain of <a class="wiki_link" href="/periods%20and%20generators">generators</a>) are viewed as tempered versions of intervals in just intonation. They form the link between things like EDOs and JI, and by doing so form the basis for all of regular temperament theory.<br />

A val is a map representing how the intervals in a single chain of <a class="wiki_link" href="/periods%20and%20generators">generators</a> - commonly an equal temperament - are viewed as tempered versions of intervals in just intonation. They form the link between things like EDOs and JI, and by doing so form the basis for all of regular temperament theory.<br />

<br />

A val tells us which interval in the equal temperament we're going to describe as the tempered 3/2, which interval we're going to describe as the tempered 5/4, and so forth.<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:mbattaglia1|mbattaglia1]] and made on <tt>2011-09-04 04:21:04 UTC</tt>.<br>
+: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2011-09-04 19:50:58 UTC</tt>.<br>
-: The original revision id was <tt>250578844</tt>.<br>
+: The original revision id was <tt>250696188</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 9: / Line 9: @@
 =Definition=
-A val is a map representing how the intervals in an equal temperament (most abstractly, a single chain of [[periods and generators|generators]]) are viewed as tempered versions of intervals in just intonation. They form the link between things like EDOs and JI, and by doing so form the basis for all of regular temperament theory.
+A val is a map representing how the intervals in a single chain of [[periods and generators|generators]] - commonly an equal temperament - are viewed as tempered versions of intervals in just intonation. They form the link between things like EDOs and JI, and by doing so form the basis for all of regular temperament theory.
 A val tells us which interval in the equal temperament we're going to describe as the tempered 3/2, which interval we're going to describe as the tempered 5/4, and so forth.
@@ Line 32: / Line 32: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Definition"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Definition&lt;/h1&gt;
-  A val is a map representing how the intervals in an equal temperament (most abstractly, a single chain of &lt;a class="wiki_link" href="/periods%20and%20generators"&gt;generators&lt;/a&gt;) are viewed as tempered versions of intervals in just intonation. They form the link between things like EDOs and JI, and by doing so form the basis for all of regular temperament theory.&lt;br /&gt;
+  A val is a map representing how the intervals in a single chain of &lt;a class="wiki_link" href="/periods%20and%20generators"&gt;generators&lt;/a&gt; - commonly an equal temperament - are viewed as tempered versions of intervals in just intonation. They form the link between things like EDOs and JI, and by doing so form the basis for all of regular temperament theory.&lt;br /&gt;
 &lt;br /&gt;
 A val tells us which interval in the equal temperament we're going to describe as the tempered 3/2, which interval we're going to describe as the tempered 5/4, and so forth.&lt;br /&gt;