Octave-reduce - Revision history

Xenwolf: Redirected page to Octave reduction

2020-06-10T06:39:56Z

← Older revision		Revision as of 06:39, 10 June 2020
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	~~'''Octave-reducing''' a fraction ''r'' means to make it fit into the range from 1 (the [[unison]]) to (excluding) 2 (the [[octave]]):~~		#redirect [[Octave reduction]]

	~~<span style="font-family: monospace; font-size:150%">1 <= r < 2</span>~~

	~~If ''r'' does not satisfy this inequality, it has to be~~
	* multiplied by 2 while less than 1 or
	* divided by 2 while greater than or equal to 2

	~~== Examples ==~~
	* 3/4 is less than 1, so multiply by 2 to get [[3/2]]
	* 7/2 is greater than 2, so divide by 2 to get [[7/4]]
	* 4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1

	~~== See also ==~~
	* [[Octave reduction]]

	~~[[Category:howto]]~~
	~~[[Category:interval_measure]]~~
	~~[[Category:method]]~~
	~~[[Category:octave]]~~
	~~[[Category:term~~]]

Spt3125: link to Octave reduction; formatting

2018-12-08T19:08:51Z

link to Octave reduction; formatting

← Older revision		Revision as of 19:08, 8 December 2018
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	'''Octave-reducing''' a fraction ''r'' means to make it fit into the range from 1 (the [[~~unisone\|unisone~~]]) to (excluding) 2 (the [[~~Octave\|~~octave]]):		'''Octave-reducing''' a fraction ''r'' means to make it fit into the range from 1 (the [[unison]]) to (excluding) 2 (the [[octave]]):

	<span style="font-family: monospace; font-size:150%">1 <= r < 2</span>		<span style="font-family: monospace; font-size:150%">1 <= r < 2</span>

	If ''r'' does not satisfy this inequality, it has to be		If ''r'' does not satisfy this inequality, it has to be
			* multiplied by 2 while less than 1 or
			* divided by 2 while greater than or equal to 2

	~~<ul><li>multiplied by 2 while~~ less than 1 ~~or<~~/~~li><li>divided~~ by 2 ~~while~~ greater than or equal to 2~~</li></ul>~~		== Examples ==
			* 3/4 is less than 1, so multiply by 2 to get [[3/2]]
			* 7/2 is greater than 2, so divide by 2 to get [[7/4]]
			* 4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1

	== ~~Examples~~ ==		== See also ==
	~~<ul><li>3/4 is less than 1, so multiply by 2 to get~~ [[~~3/2\|3/2~~]]~~</li><li>7/2 is greater than 2, so divide by 2 to get [[7/4\|7/4]]</li><li>4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1</li></ul>~~ [[Category:howto]]		* [[Octave reduction]]

			[[Category:howto]]
	[[Category:interval_measure]]		[[Category:interval_measure]]
	[[Category:method]]		[[Category:method]]
	[[Category:octave]]		[[Category:octave]]
	[[Category:term]]		[[Category:term]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		'''Octave-reducing''' a fraction ''r'' means to make it fit into the range from 1 (the [[unisone\|unisone]]) to (excluding) 2 (the [[Octave\|octave]]):
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~
	~~: This revision was by author [[User:xenwolf\|xenwolf]] and made on <tt>2016-02-18 08:46:28 UTC</tt>.<br>~~
	~~: The original revision id was <tt>575157451</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">Octave-reducing a fraction //r// means to make it fit into the range from 1 (the [[unisone]]) to (excluding) 2 (the [[octave]]):

	~~<~~span style="font-family: monospace; font-size:150%"~~>~~1 <= r < 2~~<~~/span~~>~~		<span style="font-family: monospace; font-size:150%">1 <= r < 2</span>

	If //r// does not satisfy this inequality, it has to be		If ''r'' does not satisfy this inequality, it has to be
	* multiplied by 2 while less than 1 or
	* divided by 2 while greater than or equal to 2		<ul><li>multiplied by 2 while less than 1 or</li><li>divided by 2 while greater than or equal to 2</li></ul>

	== Examples ==		== Examples ==
	* 3/4 is less than 1, so multiply by 2 to get [[~~3_2~~\|3/2]]		<ul><li>3/4 is less than 1, so multiply by 2 to get [[3/2\|3/2]]</li><li>7/2 is greater than 2, so divide by 2 to get [[7/4\|7/4]]</li><li>4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1</li></ul> [[Category:howto]]
	* 7/2 is greater than 2, so divide by 2 to get [[~~7_4~~\|7/4]]		[[Category:interval_measure]]
	* 4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1</~~pre~~></~~div~~>		[[Category:method]]
	~~<h4>Original HTML content~~:~~</h4>~~		[[Category:octave]]
	~~<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>octave-reduce</title></head><body><strong>Octave-reducing</strong> a fraction <em>r</em> means to make it fit into the range from 1 (the <a class="wiki_link" href="/unisone">unisone</a>) to (excluding) 2 (the <a class="wiki_link" href="/octave">octave</a>):<br />		[[Category:term]]
	~~<br />~~
	~~<span style="font-family~~: ~~monospace; font-size:150%">1 &lt;= r &lt; 2</span><br />~~
	~~<br />~~
	~~If <em>r</em> does not satisfy this inequality, it has to be <br />~~
	~~<ul><li>multiplied by 2 while less than 1 or</li><li>divided by 2 while greater than or equal to 2</li></ul><br />~~
	~~<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:0 --> Examples </h2>~~
	<ul><li>3/4 is less than 1, so multiply by 2 to get <a class="wiki_link" href="/3_2">3/2</a></li><li>7/2 is greater than 2, so divide by 2 to get <a class="wiki_link" href="/7_4">7/4</a></li><li>4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1</li></ul></body></html></pre></div>

Wikispaces>xenwolf: Imported revision 575157451 - Original comment:

2016-02-18T08:46:28Z

**Imported revision 575157451 - Original comment: **

← Older revision		Revision as of 08:46, 18 February 2016
Line 1:		Line 1:
	<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:xenwolf\|xenwolf]] and made on <tt>~~2011~~-06-~~29 05~~:03:12 UTC</tt>.<br>		: This revision was by author [[User:xenwolf\|xenwolf]] and made on <tt>2016-02-18 08:46:28 UTC</tt>.<br>
	: The original revision id was <tt>~~239288693~~</tt>.<br>		: The original revision id was <tt>575157451</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">Octave-reducing a fraction means to make it fit into the range from 1 (the [[unisone]]) to (excluding) 2 (the [[octave]]).		<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">Octave-reducing a fraction //r// means to make it fit into the range from 1 (the [[unisone]]) to (excluding) 2 (the [[octave]]):
	~~A fraction~~ r ~~greater than~~ 2 has to be ~~divided by 2, or~~ multiplied by 2 ~~if it is~~ less than 1~~, until it satisfies the inequality~~
	~~[[math]]~~		<span style="font-family: monospace; font-size:150%">1 <= r < 2</span>
	~~1 \le r <~~ 2
	~~[[math]]~~		If //r// does not satisfy this inequality, it has to be
			* multiplied by 2 while less than 1 or
			* divided by 2 while greater than or equal to 2

	== Examples ==		== Examples ==
	* 3/4 ~~gets~~ [[3_2\|3/2]]		* 3/4 is less than 1, so multiply by 2 to get [[3_2\|3/2]]
	* 7/2 ~~gets~~ [[7_4\|7/4]]		* 7/2 is greater than 2, so divide by 2 to get [[7_4\|7/4]]
	* 4/2 ~~gets~~ 1</pre></div>		* 4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1</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>octave-reduce</title></head><body><strong>Octave-reducing</strong> a fraction means to make it fit into the range from 1 (the <a class="wiki_link" href="/unisone">unisone</a>) to (excluding) 2 (the <a class="wiki_link" href="/octave">octave</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>octave-reduce</title></head><body><strong>Octave-reducing</strong> a fraction <em>r</em> means to make it fit into the range from 1 (the <a class="wiki_link" href="/unisone">unisone</a>) to (excluding) 2 (the <a class="wiki_link" href="/octave">octave</a>):<br />
	~~A fraction r greater than 2 has to be divided by 2, or multiplied by 2 if it is less than 1, until it satisfies the inequality~~ <br />		<br />
	<!-- ws:~~start:WikiTextMathRule:0:~~		<span style="font-family: monospace; font-size:150%">1 &lt;= r &lt; 2</span><br />
	~~[[math]]~~&~~amp;lt;br/&~~gt;
	1 ~~\le r~~ &lt; 2&~~lt;br/&gt;[[math]]~~
	~~--><script type="math/tex">1 \le r &~~lt; 2</~~script><!-- ws:end:WikiTextMathRule:0 --~~><br />
	<br />		<br />
	<!-- ws:start:WikiTextHeadingRule:1:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:1 --> Examples </h2>		If <em>r</em> does not satisfy this inequality, it has to be <br />
	<ul><li>3/4 ~~gets~~ <a class="wiki_link" href="/3_2">3/2</a></li><li>7/2 ~~gets~~ <a class="wiki_link" href="/7_4">7/4</a></li><li>4/2 ~~gets~~ 1</li></ul></body></html></pre></div>		<ul><li>multiplied by 2 while less than 1 or</li><li>divided by 2 while greater than or equal to 2</li></ul><br />
			<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:0 --> Examples </h2>
			<ul><li>3/4 is less than 1, so multiply by 2 to get <a class="wiki_link" href="/3_2">3/2</a></li><li>7/2 is greater than 2, so divide by 2 to get <a class="wiki_link" href="/7_4">7/4</a></li><li>4/2 is greater than 2, so divide by 2 to get 2, which is equal to 2, so divide by 2 to get 1</li></ul></body></html></pre></div>

Wikispaces>xenwolf: Imported revision 239288693 - Original comment:

2011-06-29T05:03:12Z

**Imported revision 239288693 - Original comment: **

← Older revision		Revision as of 05:03, 29 June 2011
Line 1:		Line 1:
	<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:xenwolf\|xenwolf]] and made on <tt>2011-06-29 04:57:19 UTC</tt>.<br>		: This revision was by author [[User:xenwolf\|xenwolf]] and made on <tt>2011-06-29 05:03:12 UTC</tt>.<br>
	: The original revision id was <tt>~~239288307~~</tt>.<br>		: The original revision id was <tt>239288693</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">Octave-reducing a fraction means to make it fit into the range from 1 (~~or 1/1~~ the [[unisone]]) to (excluding) 2/1 (the [[octave]]).		<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">Octave-reducing a fraction means to make it fit into the range from 1 (the [[unisone]]) to (excluding) 2 (the [[octave]]).
	A fraction r greater than 2 has to be divided by 2, or multiplied by 2 if it is less than 1, until it satisfies the inequality		A fraction r greater than 2 has to be divided by 2, or multiplied by 2 if it is less than 1, until it satisfies the inequality
	[[math]]		[[math]]
Line 15:		Line 15:
	* 3/4 gets [[3_2\|3/2]]		* 3/4 gets [[3_2\|3/2]]
	* 7/2 gets [[7_4\|7/4]]		* 7/2 gets [[7_4\|7/4]]
	* 2/1 gets 1~~/1 (or simply 1)~~</pre></div>		* 4/2 gets 1</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>octave-reduce</title></head><body><strong>Octave-reducing</strong> a fraction means to make it fit into the range from 1 (~~or 1/1~~ the <a class="wiki_link" href="/unisone">unisone</a>) to (excluding) 2/1 (the <a class="wiki_link" href="/octave">octave</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>octave-reduce</title></head><body><strong>Octave-reducing</strong> a fraction means to make it fit into the range from 1 (the <a class="wiki_link" href="/unisone">unisone</a>) to (excluding) 2 (the <a class="wiki_link" href="/octave">octave</a>).<br />
	A fraction r greater than 2 has to be divided by 2, or multiplied by 2 if it is less than 1, until it satisfies the inequality <br />		A fraction r greater than 2 has to be divided by 2, or multiplied by 2 if it is less than 1, until it satisfies the inequality <br />
	<!-- ws:start:WikiTextMathRule:0:		<!-- ws:start:WikiTextMathRule:0:
Line 25:		Line 25:
	<br />		<br />
	<!-- ws:start:WikiTextHeadingRule:1:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:1 --> Examples </h2>		<!-- ws:start:WikiTextHeadingRule:1:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:1 --> Examples </h2>
	<ul><li>3/4 gets <a class="wiki_link" href="/3_2">3/2</a></li><li>7/2 gets <a class="wiki_link" href="/7_4">7/4</a></li><li>2/1 gets 1~~/1 (or simply 1)~~</li></ul></body></html></pre></div>		<ul><li>3/4 gets <a class="wiki_link" href="/3_2">3/2</a></li><li>7/2 gets <a class="wiki_link" href="/7_4">7/4</a></li><li>4/2 gets 1</li></ul></body></html></pre></div>

Wikispaces>xenwolf: Imported revision 239288307 - Original comment:

2011-06-29T04:57:19Z

**Imported revision 239288307 - Original comment: **

← Older revision		Revision as of 04:57, 29 June 2011
Line 1:		Line 1:
	<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:xenwolf\|xenwolf]] and made on <tt>2011-06-29 04:45:17 UTC</tt>.<br>		: This revision was by author [[User:xenwolf\|xenwolf]] and made on <tt>2011-06-29 04:57:19 UTC</tt>.<br>
	: The original revision id was <tt>~~239287393~~</tt>.<br>		: The original revision id was <tt>239288307</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">Octave-reducing ~~an interval makes~~ it fit into the range from 1/1 (or 1, the [[unisone]]) up to (excluding) 2/1 (the [[octave]]).		<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">Octave-reducing a fraction means to make it fit into the range from 1 (or 1/1 the [[unisone]]) to (excluding) 2/1 (the [[octave]]).
	~~Intervals higher~~ than 2~~/1 have~~ to be divided by 2, ~~intervals~~ less than 1/1 ~~have to be multiplied by~~ 2.		A fraction r greater than 2 has to be divided by 2, or multiplied by 2 if it is less than 1, until it satisfies the inequality
			[[math]]
			1 \le r < 2
			[[math]]

	== Examples ==		== Examples ==
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	* 2/1 gets 1/1 (or simply 1)</pre></div>		* 2/1 gets 1/1 (or simply 1)</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>octave-reduce</title></head><body><strong>Octave-reducing</strong> ~~an interval makes~~ it fit into the range from 1/1 (or 1, the <a class="wiki_link" href="/unisone">unisone</a>) up to (excluding) 2/1 (the <a class="wiki_link" href="/octave">octave</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>octave-reduce</title></head><body><strong>Octave-reducing</strong> a fraction means to make it fit into the range from 1 (or 1/1 the <a class="wiki_link" href="/unisone">unisone</a>) to (excluding) 2/1 (the <a class="wiki_link" href="/octave">octave</a>).<br />
	~~Intervals higher~~ than 2~~/1 have~~ to be divided by 2, ~~intervals~~ less than 1/1 ~~have to be multiplied by~~ 2.<br />		A fraction r greater than 2 has to be divided by 2, or multiplied by 2 if it is less than 1, until it satisfies the inequality <br />
			<!-- ws:start:WikiTextMathRule:0:
			[[math]]&lt;br/&gt;
			1 \le r &lt; 2&lt;br/&gt;[[math]]
			--><script type="math/tex">1 \le r < 2</script><!-- ws:end:WikiTextMathRule:0 --><br />
	<br />		<br />
	<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:0 --> Examples </h2>		<!-- ws:start:WikiTextHeadingRule:1:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:1 --> Examples </h2>
	<ul><li>3/4 gets <a class="wiki_link" href="/3_2">3/2</a></li><li>7/2 gets <a class="wiki_link" href="/7_4">7/4</a></li><li>2/1 gets 1/1 (or simply 1)</li></ul></body></html></pre></div>		<ul><li>3/4 gets <a class="wiki_link" href="/3_2">3/2</a></li><li>7/2 gets <a class="wiki_link" href="/7_4">7/4</a></li><li>2/1 gets 1/1 (or simply 1)</li></ul></body></html></pre></div>

Wikispaces>xenwolf: Imported revision 239287393 - Original comment:

2011-06-29T04:45:17Z

**Imported revision 239287393 - 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:xenwolf|xenwolf]] and made on <tt>2011-06-29 04:45:17 UTC</tt>.<br>
: The original revision id was <tt>239287393</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">**Octave-reducing** an interval makes it fit into the range from 1/1 (or 1, the [[unisone]]) up to (excluding) 2/1 (the [[octave]]).
Intervals higher than 2/1 have to be divided by 2, intervals less than 1/1 have to be multiplied by 2.

== Examples ==
* 3/4 gets [[3_2|3/2]]
* 7/2 gets [[7_4|7/4]]
* 2/1 gets 1/1 (or simply 1)</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>octave-reduce</title></head><body><strong>Octave-reducing</strong> an interval makes it fit into the range from 1/1 (or 1, the <a class="wiki_link" href="/unisone">unisone</a>) up to (excluding) 2/1 (the <a class="wiki_link" href="/octave">octave</a>).<br />
Intervals higher than 2/1 have to be divided by 2, intervals less than 1/1 have to be multiplied by 2.<br />
<br />
<h2 id="toc0"><a name="x-Examples"></a> Examples </h2>
<ul><li>3/4 gets <a class="wiki_link" href="/3_2">3/2</a></li><li>7/2 gets <a class="wiki_link" href="/7_4">7/4</a></li><li>2/1 gets 1/1 (or simply 1)</li></ul></body></html></pre></div>

Octave-reduce - Revision history

Xenwolf: Redirected page to Octave reduction

Spt3125: link to Octave reduction; formatting

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>xenwolf: **Imported revision 575157451 - Original comment: **

Wikispaces>xenwolf: **Imported revision 239288693 - Original comment: **

Wikispaces>xenwolf: **Imported revision 239288307 - Original comment: **

Wikispaces>xenwolf: **Imported revision 239287393 - Original comment: **

Wikispaces>xenwolf: Imported revision 575157451 - Original comment:

Wikispaces>xenwolf: Imported revision 239288693 - Original comment:

Wikispaces>xenwolf: Imported revision 239288307 - Original comment:

Wikispaces>xenwolf: Imported revision 239287393 - Original comment: