Tablet

Revision as of 20:54, 14 September 2011 by Wikispaces>genewardsmith (**Imported revision 254167432 - Original comment: **)

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This revision was by author genewardsmith and made on 2011-09-14 20:54:34 UTC.
The original revision id was 254167432.
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Original Wikitext content:

[[toc|flat]]

=What is a tablet?=
By a //tablet// (the name by analogy with tablature) is meant a pair [n, c] consisting of an approximate note-number n (an integer) and a chord denoting element c, typically a [[http://en.wikipedia.org/wiki/Tuple|tuple]] of integers, which defines a type of chord up to octave equivalence. Together they define a note in a just intonation group or regular temperament. The representation of the note is non-unique, as for any note there will be a variety of tablets for it depending on the specified type of chord and chord element, but by means of a val or val-like mapping, the number n in the tablet is definable from the note.

There is really no better way of defining more precisely what a tablet is than by giving examples, which are considered below.

=The meantone add6/9 tablet=

=The 5-limit 3et tablet=

=The 7-limit 4et tablet=

=The 7-limit 5et tablet=

=The 13-limit 7et tablet=

Original HTML content:

<html><head><title>Tablets</title></head><body><!-- ws:start:WikiTextTocRule:12:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#What is a tablet?">What is a tablet?</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#The meantone add6/9 tablet">The meantone add6/9 tablet</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#The 5-limit 3et tablet">The 5-limit 3et tablet</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#The 7-limit 4et tablet">The 7-limit 4et tablet</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#The 7-limit 5et tablet">The 7-limit 5et tablet</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#The 13-limit 7et tablet">The 13-limit 7et tablet</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: -->
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="What is a tablet?"></a><!-- ws:end:WikiTextHeadingRule:0 -->What is a tablet?</h1>
By a <em>tablet</em> (the name by analogy with tablature) is meant a pair [n, c] consisting of an approximate note-number n (an integer) and a chord denoting element c, typically a <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Tuple" rel="nofollow">tuple</a> of integers, which defines a type of chord up to octave equivalence. Together they define a note in a just intonation group or regular temperament. The representation of the note is non-unique, as for any note there will be a variety of tablets for it depending on the specified type of chord and chord element, but by means of a val or val-like mapping, the number n in the tablet is definable from the note.<br />
<br />
There is really no better way of defining more precisely what a tablet is than by giving examples, which are considered below.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="The meantone add6/9 tablet"></a><!-- ws:end:WikiTextHeadingRule:2 -->The meantone add6/9 tablet</h1>
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="The 5-limit 3et tablet"></a><!-- ws:end:WikiTextHeadingRule:4 -->The 5-limit 3et tablet</h1>
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="The 7-limit 4et tablet"></a><!-- ws:end:WikiTextHeadingRule:6 -->The 7-limit 4et tablet</h1>
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<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="The 7-limit 5et tablet"></a><!-- ws:end:WikiTextHeadingRule:8 -->The 7-limit 5et tablet</h1>
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<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="The 13-limit 7et tablet"></a><!-- ws:end:WikiTextHeadingRule:10 -->The 13-limit 7et tablet</h1>
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