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 04:12:51 UTC</tt>.<br>
: The original revision id was <tt>566300119</tt>.<br>
: The revision comment was: <tt></tt><br>
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<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 system of notating any fractional frequency in Just Intonation, created 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.
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>
<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 />
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>