David Ryan's notation: Difference between revisions

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~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

#REDIRECT [[Rational comma notation]]

~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~

See [[Ryan_ASCII_notation|Ryan ASCII Notation]]

~~: This revision was by author~~ [[~~User:daveryan23~~|~~daveryan23~~]] ~~and made on <tt>2015-11-13 04:04:02 UTC</tt>.<br>~~

~~: The original revision id was <tt>566299575</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>~~

~~<h4>Original Wikitext content:</h4>~~

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">...a JI notation by the musician and theorist David Ryan

* Preprint: http://arxiv.org/pdf/1508.07739

(Wiki admin - this page was created in error, the link give the correct page. DR)

~~Abstract:~~

~~Musical notation systems provide ways of recording which notes musicians should play at which times. One essential parameter described is the frequency. For twelve~~-note tuning systems the frequency can be described using letters A to G with sharp or flat symbols. For Just Intonation tuning systems these symbols are insufficient. This paper provides a system for describing any frequency which is a rational number multiplied by a suitable base frequency. Explicit notation is given for low prime numbers, ~~and an algorithm for higher primes described.</pre></div>~~

~~<h4>Original HTML content:</h4>~~

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>David Ryan's notation</title></head><body>...a JI notation by the ~~musician and theorist David Ryan<br />~~

~~<br />~~

<ul><li>Preprint: <a class="wiki_link_ext" href="http://arxiv.org/pdf/1508.07739" rel="nofollow">http://arxiv.org/pdf/1508.07739</a></li></ul><br />

~~Abstract:<br />~~

~~Musical notation systems provide ways of recording which notes musicians should play at which times. One essential parameter described is the frequency. For twelve-note tuning systems~~ the frequency can be described using letters A to G with sharp or flat symbols. For Just Intonation tuning systems these symbols are insufficient. This paper provides a system for describing any frequency which is a rational number multiplied by a suitable base frequency. Explicit notation is given for low prime numbers, and an algorithm for higher primes described.~~</body></html></pre></div>~~

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-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+#REDIRECT [[Rational comma notation]]
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
+See [[Ryan_ASCII_notation|Ryan ASCII Notation]]
-: This revision was by author [[User:daveryan23|daveryan23]] and made on <tt>2015-11-13 04:04:02 UTC</tt>.<br>
-: The original revision id was <tt>566299575</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>
-<h4>Original Wikitext content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">...a JI notation by the musician and theorist David Ryan
-* Preprint: http://arxiv.org/pdf/1508.07739
+(Wiki admin - this page was created in error, the link give the correct page. DR)
-Abstract:
-Musical notation systems provide ways of recording which notes musicians should play at which times. One essential parameter described is the frequency. For twelve-note tuning systems the frequency can be described using letters A to G with sharp or flat symbols. For Just Intonation tuning systems these symbols are insufficient. This paper provides a system for describing any frequency which is a rational number multiplied by a suitable base frequency. Explicit notation is given for low prime numbers, and an algorithm for higher primes described.</pre></div>
-<h4>Original HTML content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;David Ryan's notation&lt;/title&gt;&lt;/head&gt;&lt;body&gt;...a JI notation by the musician and theorist David Ryan&lt;br /&gt;
-&lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;Preprint: &lt;!-- ws:start:WikiTextUrlRule:8:http://arxiv.org/pdf/1508.07739 --&gt;&lt;a class="wiki_link_ext" href="http://arxiv.org/pdf/1508.07739" rel="nofollow"&gt;http://arxiv.org/pdf/1508.07739&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:8 --&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
-Abstract:&lt;br /&gt;
-Musical notation systems provide ways of recording which notes musicians should play at which times. One essential parameter described is the frequency. For twelve-note tuning systems the frequency can be described using letters A to G with sharp or flat symbols. For Just Intonation tuning systems these symbols are insufficient. This paper provides a system for describing any frequency which is a rational number multiplied by a suitable base frequency. Explicit notation is given for low prime numbers, and an algorithm for higher primes described.&lt;/body&gt;&lt;/html&gt;</pre></div>