Rational comma notation: Difference between revisions
Wikispaces>daveryan23 **Imported revision 605224593 - Original comment: ** |
Wikispaces>daveryan23 **Imported revision 605321987 - 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- | : This revision was by author [[User:daveryan23|daveryan23]] and made on <tt>2017-02-02 08:00:59 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>605321987</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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<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 system using either plaintext (ASCII) or richtext to notate any frequency in Just Intonation (JI). | <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 system using either plaintext (ASCII) or richtext to notate any frequency in Just Intonation (JI). | ||
Also names the pitch classes, which are notes up to octave equivalence. | Also names the pitch classes, which are notes up to octave equivalence. | ||
Developed in 2015-2017 by the musician and music theorist David Ryan | Developed in 2015-2017 by the musician and music theorist [[David Ryan]]. | ||
* Paper (pre-print) for defining all the prime commas by algorithm and the basic notation: http://arxiv.org/abs/1612.01860 - also compares between some different choices for algorithm. | * Paper (pre-print) for defining all the prime commas by algorithm and the basic notation: http://arxiv.org/abs/1612.01860 - also compares between some different choices for algorithm. | ||
* 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 | ||
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[1/5] = 1/[5] = 81/80 | [1/5] = 1/[5] = 81/80 | ||
[35] = [5]*[7] = 35/36 | [35] = [5]*[7] = 35/36 | ||
[5/13] = [5]/[13] = 40/39 | [5/13] = [5]/[13] = 40/39 | ||
**Notation examples:** | **Notation examples:** | ||
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<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>Rational Comma Notation (RCN)</title></head><body>A system using either plaintext (ASCII) or richtext to notate any frequency in Just Intonation (JI).<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>Rational Comma Notation (RCN)</title></head><body>A system using either plaintext (ASCII) or richtext to notate any frequency in Just Intonation (JI).<br /> | ||
Also names the pitch classes, which are notes up to octave equivalence.<br /> | Also names the pitch classes, which are notes up to octave equivalence.<br /> | ||
Developed in 2015-2017 by the musician and music theorist David Ryan<br /> | Developed in 2015-2017 by the musician and music theorist <a class="wiki_link" href="/David%20Ryan">David Ryan</a>.<br /> | ||
<ul><li>Paper (pre-print) for defining all the prime commas by algorithm and the basic notation: <!-- ws:start:WikiTextUrlRule: | <ul><li>Paper (pre-print) for defining all the prime commas by algorithm and the basic notation: <!-- ws:start:WikiTextUrlRule:130:http://arxiv.org/abs/1612.01860 --><a class="wiki_link_ext" href="http://arxiv.org/abs/1612.01860" rel="nofollow">http://arxiv.org/abs/1612.01860</a><!-- ws:end:WikiTextUrlRule:130 --> - also compares between some different choices for algorithm.</li><li>Paper (pre-print) for defining how the notation breaks down into components and enables key changes and transposition: <!-- ws:start:WikiTextUrlRule:131:http://arxiv.org/abs/1508.07739 --><a class="wiki_link_ext" href="http://arxiv.org/abs/1508.07739" rel="nofollow">http://arxiv.org/abs/1508.07739</a><!-- ws:end:WikiTextUrlRule:131 --></li></ul>The two links above give the abstract pages on arXiv, and the PDFs are free to download from arXiv.<br /> | ||
<br /> | <br /> | ||
<strong>Rational Comma Notation (RCN)</strong> is a combination of:<br /> | <strong>Rational Comma Notation (RCN)</strong> is a combination of:<br /> | ||
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[1/5] = 1/[5] = 81/80<br /> | [1/5] = 1/[5] = 81/80<br /> | ||
[35] = [5]*[7] = 35/36<br /> | [35] = [5]*[7] = 35/36<br /> | ||
[5/13] = [5]/[13] = 40/39 <br /> | [5/13] = [5]/[13] = 40/39<br /> | ||
<br /> | <br /> | ||
<strong>Notation examples:</strong><br /> | <strong>Notation examples:</strong><br /> | ||
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<br /> | <br /> | ||
Some music created using this notation is available at:<br /> | Some music created using this notation is available at:<br /> | ||
<ul><li>Dave Ryan's SoundCloud page: <!-- ws:start:WikiTextUrlRule: | <ul><li>Dave Ryan's SoundCloud page: <!-- ws:start:WikiTextUrlRule:132:http://soundcloud.com/daveryan23/tracks --><a class="wiki_link_ext" href="http://soundcloud.com/daveryan23/tracks" rel="nofollow">http://soundcloud.com/daveryan23/tracks</a><!-- ws:end:WikiTextUrlRule:132 --></li></ul><br /> | ||
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.</body></html></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.</body></html></pre></div> | ||