David Ryan's notation: Difference between revisions
Wikispaces>daveryan23 **Imported revision 566301293 - Original comment: ** |
Wikispaces>daveryan23 **Imported revision 566301717 - 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:daveryan23|daveryan23]] and made on <tt>2015-11-13 04: | : This revision was by author [[User:daveryan23|daveryan23]] and made on <tt>2015-11-13 04:36:16 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>566301717</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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etc! | etc! | ||
The golden rule in this notation is: to derive notation for a more complicated fraction, break it down into simpler fractions | The golden rule in this notation is: to derive notation for a more complicated fraction, break it down into simpler fractions; fractions with notation already known. In particular, separate out the fractions for each higher prime. | ||
Some music created using this notation is available at: | |||
* Dave Ryan's SoundCloud page: https://soundcloud.com/daveryan23</pre></div> | |||
<h4>Original HTML content:</h4> | <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 system of notating any fractional frequency in Just Intonation, created by the musician and theorist David Ryan<br /> | <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 system of notating any fractional frequency in Just Intonation, created by the musician and theorist David Ryan<br /> | ||
<br /> | <br /> | ||
<ul><li>Preprint: <!-- ws:start:WikiTextUrlRule: | <ul><li>Preprint: <!-- ws:start:WikiTextUrlRule:69:http://arxiv.org/pdf/1508.07739 --><a class="wiki_link_ext" href="http://arxiv.org/pdf/1508.07739" rel="nofollow">http://arxiv.org/pdf/1508.07739</a><!-- ws:end:WikiTextUrlRule:69 --></li></ul><br /> | ||
<strong>Abstract:</strong><br /> | <strong>Abstract:</strong><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.<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.<br /> | ||
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etc!<br /> | etc!<br /> | ||
<br /> | <br /> | ||
The golden rule in this notation is: to derive notation for a more complicated fraction, break it down into simpler fractions | The golden rule in this notation is: to derive notation for a more complicated fraction, break it down into simpler fractions; fractions with notation already known. In particular, separate out the fractions for each higher prime.<br /> | ||
<br /> | |||
Some music created using this notation is available at:<br /> | |||
<ul><li>Dave Ryan's SoundCloud page: <!-- ws:start:WikiTextUrlRule:70:https://soundcloud.com/daveryan23 --><a class="wiki_link_ext" href="https://soundcloud.com/daveryan23" rel="nofollow">https://soundcloud.com/daveryan23</a><!-- ws:end:WikiTextUrlRule:70 --></li></ul></body></html></pre></div> | |||