Val: Difference between revisions
Wikispaces>mbattaglia1 **Imported revision 288555046 - Original comment: ** |
Wikispaces>mbattaglia1 **Imported revision 288583330 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | 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>2011-12-27 | : This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2011-12-27 14:10:43 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>288583330</tt>.<br> | ||
: The revision comment was: <tt></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> | 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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=Shorthand Notation= | =Shorthand Notation= | ||
Given an explicit or assumed limit, any [[patent val]] can simply be represented by stating its first coefficient - the digit representing how many generators map to 2/1 | Given an explicit or assumed limit, any [[patent val]] can simply be represented by stating its first coefficient - the digit representing how many generators map to 2/1. So for example, the val <17 27 39], the 5-limit patent val for 17-EDO, can be represented by the phrase "17." In instances where this number may be ambiguous, the letter "p" can be added to specify that this is the patent val, so that "17p" unambiguously refers to <17 27 39]. | ||
The patent val for any EDO will use the most accurate mapping for each individual prime. However, it may often be the case that one wants to refer to vals other than the patent val. For example, the 5-limit val <17 27 40], which maps the 5/4 to the 424 cent interval rather than the 353 cent interval, is NOT the patent val for 17-EDO. One reason to prefer the use of this val in certain circumstances is that it is lower in error. | The patent val for any EDO will use the most accurate mapping for each individual prime. However, it may often be the case that one wants to refer to vals other than the patent val. For example, the 5-limit val <17 27 40], which maps the 5/4 to the 424 cent interval rather than the 353 cent interval, is NOT the patent val for 17-EDO. One reason to prefer the use of this val in certain circumstances is that it is lower in error. | ||
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Shorthand Notation"></a><!-- ws:end:WikiTextHeadingRule:4 -->Shorthand Notation</h1> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Shorthand Notation"></a><!-- ws:end:WikiTextHeadingRule:4 -->Shorthand Notation</h1> | ||
Given an explicit or assumed limit, any <a class="wiki_link" href="/patent%20val">patent val</a> can simply be represented by stating its first coefficient - the digit representing how many generators map to 2/1 | Given an explicit or assumed limit, any <a class="wiki_link" href="/patent%20val">patent val</a> can simply be represented by stating its first coefficient - the digit representing how many generators map to 2/1. So for example, the val &lt;17 27 39], the 5-limit patent val for 17-EDO, can be represented by the phrase &quot;17.&quot; In instances where this number may be ambiguous, the letter &quot;p&quot; can be added to specify that this is the patent val, so that &quot;17p&quot; unambiguously refers to &lt;17 27 39].<br /> | ||
<br /> | <br /> | ||
The patent val for any EDO will use the most accurate mapping for each individual prime. However, it may often be the case that one wants to refer to vals other than the patent val. For example, the 5-limit val &lt;17 27 40], which maps the 5/4 to the 424 cent interval rather than the 353 cent interval, is NOT the patent val for 17-EDO. One reason to prefer the use of this val in certain circumstances is that it is lower in error.<br /> | The patent val for any EDO will use the most accurate mapping for each individual prime. However, it may often be the case that one wants to refer to vals other than the patent val. For example, the 5-limit val &lt;17 27 40], which maps the 5/4 to the 424 cent interval rather than the 353 cent interval, is NOT the patent val for 17-EDO. One reason to prefer the use of this val in certain circumstances is that it is lower in error.<br /> | ||