Rational comma notation: Difference between revisions

Wikispaces>daveryan23
**Imported revision 605321987 - Original comment: **
Wikispaces>daveryan23
**Imported revision 623968641 - 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>2017-02-02 08:00:59 UTC</tt>.<br>
: This revision was by author [[User:daveryan23|daveryan23]] and made on <tt>2017-12-18 01:52:13 UTC</tt>.<br>
: The original revision id was <tt>605321987</tt>.<br>
: The original revision id was <tt>623968641</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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* Paper (pre-print) for defining how the notation breaks down into components and enables key changes and transposition: http://arxiv.org/abs/1508.07739
* Paper (pre-print) for defining how the notation breaks down into components and enables key changes and transposition: http://arxiv.org/abs/1508.07739
The two links above give the abstract pages on arXiv, and the PDFs are free to download from arXiv.
The two links above give the abstract pages on arXiv, and the PDFs are free to download from arXiv.
* [[http://www.retuner.net|ReTuner]] musical instrument, incorporating live calculation of RCN note names on instrument keys


**Rational Comma Notation (RCN)** is a combination of:
**Rational Comma Notation (RCN)** is a combination of:
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Also names the pitch classes, which are notes up to octave equivalence.&lt;br /&gt;
Also names the pitch classes, which are notes up to octave equivalence.&lt;br /&gt;
Developed in 2015-2017 by the musician and music theorist &lt;a class="wiki_link" href="/David%20Ryan"&gt;David Ryan&lt;/a&gt;.&lt;br /&gt;
Developed in 2015-2017 by the musician and music theorist &lt;a class="wiki_link" href="/David%20Ryan"&gt;David Ryan&lt;/a&gt;.&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;Paper (pre-print) for defining all the prime commas by algorithm and the basic notation: &lt;!-- ws:start:WikiTextUrlRule:130:http://arxiv.org/abs/1612.01860 --&gt;&lt;a class="wiki_link_ext" href="http://arxiv.org/abs/1612.01860" rel="nofollow"&gt;http://arxiv.org/abs/1612.01860&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:130 --&gt; - also compares between some different choices for algorithm.&lt;/li&gt;&lt;li&gt;Paper (pre-print) for defining how the notation breaks down into components and enables key changes and transposition: &lt;!-- ws:start:WikiTextUrlRule:131:http://arxiv.org/abs/1508.07739 --&gt;&lt;a class="wiki_link_ext" href="http://arxiv.org/abs/1508.07739" rel="nofollow"&gt;http://arxiv.org/abs/1508.07739&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:131 --&gt;&lt;/li&gt;&lt;/ul&gt;The two links above give the abstract pages on arXiv, and the PDFs are free to download from arXiv.&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;Paper (pre-print) for defining all the prime commas by algorithm and the basic notation: &lt;!-- ws:start:WikiTextUrlRule:135:http://arxiv.org/abs/1612.01860 --&gt;&lt;a class="wiki_link_ext" href="http://arxiv.org/abs/1612.01860" rel="nofollow"&gt;http://arxiv.org/abs/1612.01860&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:135 --&gt; - also compares between some different choices for algorithm.&lt;/li&gt;&lt;li&gt;Paper (pre-print) for defining how the notation breaks down into components and enables key changes and transposition: &lt;!-- ws:start:WikiTextUrlRule:136:http://arxiv.org/abs/1508.07739 --&gt;&lt;a class="wiki_link_ext" href="http://arxiv.org/abs/1508.07739" rel="nofollow"&gt;http://arxiv.org/abs/1508.07739&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:136 --&gt;&lt;/li&gt;&lt;/ul&gt;The two links above give the abstract pages on arXiv, and the PDFs are free to download from arXiv.&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.retuner.net" rel="nofollow"&gt;ReTuner&lt;/a&gt; musical instrument, incorporating live calculation of RCN note names on instrument keys&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;strong&gt;Rational Comma Notation (RCN)&lt;/strong&gt; is a combination of:&lt;br /&gt;
&lt;strong&gt;Rational Comma Notation (RCN)&lt;/strong&gt; is a combination of:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;3-limit notation using a modified version of Scientific Pitch Notation (SPN), e.g. C4, C5, F#3&lt;/li&gt;&lt;li&gt;Rational commas for describing higher prime information in a frequency as microtonal adjustments of a Pythagorean frequency, e.g. [5], [1/7], [77/65]&lt;/li&gt;&lt;/ul&gt;Together these are able to notate the whole of free-JI using notations of the form E4[5], Eb3[1/5], etc.&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;3-limit notation using a modified version of Scientific Pitch Notation (SPN), e.g. C4, C5, F#3&lt;/li&gt;&lt;li&gt;Rational commas for describing higher prime information in a frequency as microtonal adjustments of a Pythagorean frequency, e.g. [5], [1/7], [77/65]&lt;/li&gt;&lt;/ul&gt;Together these are able to notate the whole of free-JI using notations of the form E4[5], Eb3[1/5], etc.&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
Some music created using this notation is available at:&lt;br /&gt;
Some music created using this notation is available at:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;Dave Ryan's SoundCloud page: &lt;!-- ws:start:WikiTextUrlRule:132:http://soundcloud.com/daveryan23/tracks --&gt;&lt;a class="wiki_link_ext" href="http://soundcloud.com/daveryan23/tracks" rel="nofollow"&gt;http://soundcloud.com/daveryan23/tracks&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:132 --&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;Dave Ryan's SoundCloud page: &lt;!-- ws:start:WikiTextUrlRule:137:http://soundcloud.com/daveryan23/tracks --&gt;&lt;a class="wiki_link_ext" href="http://soundcloud.com/daveryan23/tracks" rel="nofollow"&gt;http://soundcloud.com/daveryan23/tracks&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:137 --&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
In future work, it is hoped to develop a computer based / online free-JI scoring system where the comma numbers (5, 1/7, 65/77, etc) are annotated directly onto notes in order to retune them from Pythagorean notes. The score would be Pythagorean, and commas used as accidentals to be able to compose in free-JI and enable anyone to make free-JI music online. If anyone wants to help with this project, please contact David Ryan.&lt;/body&gt;&lt;/html&gt;</pre></div>
In future work, it is hoped to develop a computer based / online free-JI scoring system where the comma numbers (5, 1/7, 65/77, etc) are annotated directly onto notes in order to retune them from Pythagorean notes. The score would be Pythagorean, and commas used as accidentals to be able to compose in free-JI and enable anyone to make free-JI music online. If anyone wants to help with this project, please contact David Ryan.&lt;/body&gt;&lt;/html&gt;</pre></div>