David Ryan's notation - Revision history

BudjarnLambeth: Fixed double redirect

2023-04-26T01:45:23Z

Fixed double redirect

← Older revision		Revision as of 01:45, 26 April 2023
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	#REDIRECT [[~~Ryan_ASCII_notation~~]]		#REDIRECT [[Rational comma notation]]
	See [[Ryan_ASCII_notation\|Ryan ASCII Notation]]		See [[Ryan_ASCII_notation\|Ryan ASCII Notation]]

	(Wiki admin - this page was created in error, the link give the correct page. DR)		(Wiki admin - this page was created in error, the link give the correct page. DR)

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

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-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+#REDIRECT [[Ryan_ASCII_notation]]
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
+See [[Ryan_ASCII_notation|Ryan ASCII Notation]]
-(Wiki admin - this page was created in error, the link give the correct page. DR)</pre></div>
+(Wiki admin - this page was created in error, the link give the correct page. DR)

Wikispaces>daveryan23: Imported revision 566305667 - Original comment:

2015-11-13T05:23:53Z

**Imported revision 566305667 - Original comment: **

← Older revision		Revision as of 05:23, 13 November 2015
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	: This revision was by author [[User:daveryan23\|daveryan23]] and made on <tt>2015-11-13 05:22:56 UTC</tt>.<br>		: This revision was by author [[User:daveryan23\|daveryan23]] and made on <tt>2015-11-13 05:23:53 UTC</tt>.<br>
	: The original revision id was <tt>~~566305567~~</tt>.<br>		: The original revision id was <tt>566305667</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">See [[Ryan ASCII notation\|Ryan ASCII Notation]]		<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">See [[Ryan ASCII notation\|Ryan ASCII Notation]]
	(~~This~~ page ~~can be deleted~~)</pre></div>
			(Wiki admin - this page was created in error, the link give the correct page. DR)</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>See <a class="wiki_link" href="/Ryan%20ASCII%20notation">Ryan ASCII Notation</a><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>See <a class="wiki_link" href="/Ryan%20ASCII%20notation">Ryan ASCII Notation</a><br />
	(~~This~~ page ~~can be deleted~~)</body></html></pre></div>		<br />
			(Wiki admin - this page was created in error, the link give the correct page. DR)</body></html></pre></div>

Wikispaces>daveryan23: Imported revision 566305567 - Original comment:

2015-11-13T05:22:56Z

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Wikispaces>daveryan23: Imported revision 566304323 - Original comment:

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Wikispaces>daveryan23: Imported revision 566301717 - Original comment:

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**Imported revision 566301717 - Original comment: **

← Older revision		Revision as of 04:36, 13 November 2015
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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 04:30:59 UTC</tt>.<br>		: 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>~~566301293~~</tt>.<br>		: 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 or fractions already known. In particular, ~~separating~~ out fractions for each higher prime.</pre></div>		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:62: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:62 --></li></ul><br />		<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 or fractions already known. In particular, ~~separating~~ out fractions for each higher prime.</body></html></pre></div>		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>

Wikispaces>daveryan23: Imported revision 566301293 - Original comment:

2015-11-13T04:30:59Z

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Wikispaces>daveryan23: Imported revision 566300119 - Original comment:

2015-11-13T04:12:51Z

**Imported revision 566300119 - Original comment: **

← Older revision		Revision as of 04:12, 13 November 2015
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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 04:04:02 UTC</tt>.<br>		: 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>~~566299575~~</tt>.<br>		: 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">~~...a JI notation~~ by the musician and theorist David Ryan		<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>~~...a JI notation~~ 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:8: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:8 --></li></ul><br />		<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>

Wikispaces>daveryan23: Imported revision 566299575 - Original comment:

2015-11-13T04:04:02Z

**Imported revision 566299575 - Original comment: **

New page

<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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 04:04:02 UTC</tt>.<br>
: The original revision id was <tt>566299575</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>
<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 JI notation by the musician and theorist David Ryan

* Preprint: http://arxiv.org/pdf/1508.07739

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>
<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 JI notation by the musician and theorist David Ryan<br />
<br />
<ul><li>Preprint: <a class="wiki_link_ext" href="http://arxiv.org/pdf/1508.07739" rel="nofollow">http://arxiv.org/pdf/1508.07739</a></li></ul><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>

← Older revision		Revision as of 05:12, 13 November 2015
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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 05:08:11 UTC</tt>.<br>		: This revision was by author [[User:daveryan23\|daveryan23]] and made on <tt>2015-11-13 05:12:21 UTC</tt>.<br>
	: The original revision id was <tt>~~566304323~~</tt>.<br>		: The original revision id was <tt>566304685</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">A system of using ASCII characters to notate any fractional frequency in Just Intonation. Created by the musician and theorist David Ryan		<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">Ryan ASCII Notation

			A system of using ASCII characters to notate 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
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	* Dave Ryan's SoundCloud page: https://soundcloud.com/daveryan23</pre></div>		* 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 using ASCII characters to notate 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><strong>Ryan ASCII Notation</strong><br />
			<br />
			A system of using ASCII characters to notate any fractional frequency in Just Intonation. Created by the musician and theorist David Ryan<br />
	<br />		<br />
	<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 />		<ul><li>Preprint: <!-- ws:start:WikiTextUrlRule:71: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:71 --></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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	<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: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>		<ul><li>Dave Ryan's SoundCloud page: <!-- ws:start:WikiTextUrlRule:72:https://soundcloud.com/daveryan23 --><a class="wiki_link_ext" href="https://soundcloud.com/daveryan23" rel="nofollow">https://soundcloud.com/daveryan23</a><!-- ws:end:WikiTextUrlRule:72 --></li></ul></body></html></pre></div>

← Older revision		Revision as of 05:08, 13 November 2015
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	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 04:36:16 UTC</tt>.<br>		: This revision was by author [[User:daveryan23\|daveryan23]] and made on <tt>2015-11-13 05:08:11 UTC</tt>.<br>
	: The original revision id was <tt>~~566301717~~</tt>.<br>		: The original revision id was <tt>566304323</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">A system of ~~notating~~ any fractional frequency in Just Intonation~~, created~~ by the musician and theorist David Ryan		<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 using ASCII characters to notate 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
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	* Dave Ryan's SoundCloud page: https://soundcloud.com/daveryan23</pre></div>		* 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 using ASCII characters to notate any fractional frequency in Just Intonation. Created by the musician and theorist David Ryan<br />
	<br />		<br />
	<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 />		<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 />

David Ryan's notation - Revision history

BudjarnLambeth: Fixed double redirect

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>daveryan23: **Imported revision 566305667 - Original comment: **

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