David Ryan's notation: Difference between revisions
Wikispaces>daveryan23 **Imported revision 566299575 - Original comment: ** |
Wikispaces>daveryan23 **Imported revision 566300119 - 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 04:12:51 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>566300119</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> | ||
<h4>Original Wikitext content:</h4> | <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"> | <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 of notating any fractional frequency in Just Intonation, created by the musician and theorist David Ryan | ||
* Preprint: http://arxiv.org/pdf/1508.07739 | * Preprint: http://arxiv.org/pdf/1508.07739 | ||
Abstract: | 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> | 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. | ||
Key features: | |||
Can be inputted by computer keyboard alone (ASCII characters) | |||
Can freely transpose keys in JI - done by multiplying notations - any two notations can be easily multiplied | |||
Simple notations exist for 3-limit, 5-limit, 7-limit JI notes | |||
Look-up table for providing ASCII notation for higher primes (11/8, 109/100, etc) | |||
Algorithm for deriving these notations | |||
Very compact notation for octave equivalence classes | |||
Good for describing all the notes on a 5-limit or 7-limit tone lattice | |||
Challenges: | |||
Octaves are not sequential - easier to understand octave equivalence classes than exact notes . ( Example: C = 1/1 F = 4/3 G = 3/4 but 3/2 = `G so 3/2 requires an octave modifier to describe.)</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> | <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:20: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:20 --></li></ul><br /> | ||
Abstract:<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> | 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 /> | ||
<br /> | |||
Key features:<br /> | |||
Can be inputted by computer keyboard alone (ASCII characters)<br /> | |||
Can freely transpose keys in JI - done by multiplying notations - any two notations can be easily multiplied<br /> | |||
Simple notations exist for 3-limit, 5-limit, 7-limit JI notes<br /> | |||
Look-up table for providing ASCII notation for higher primes (11/8, 109/100, etc)<br /> | |||
Algorithm for deriving these notations<br /> | |||
Very compact notation for octave equivalence classes<br /> | |||
Good for describing all the notes on a 5-limit or 7-limit tone lattice<br /> | |||
<br /> | |||
Challenges:<br /> | |||
Octaves are not sequential - easier to understand octave equivalence classes than exact notes . ( Example: C = 1/1 F = 4/3 G = 3/4 but 3/2 = `G so 3/2 requires an octave modifier to describe.)</body></html></pre></div> | |||