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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>
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| : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-02-18 08:46:28 UTC</tt>.<br>
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| : The original revision id was <tt>575157451</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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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">**Octave-reducing** a fraction //r// means to make it fit into the range from 1 (the [[unisone]]) to (excluding) 2 (the [[octave]]):
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| <span style="font-family: monospace; font-size:150%">1 <= r < 2</span>
| | <span style="font-family: monospace; font-size:150%">1 <= r < 2</span> |
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| 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
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| * 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> |
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| == 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]] |
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| <span style="font-family: monospace; font-size:150%">1 &lt;= r &lt; 2</span><br />
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| If <em>r</em> does not satisfy this inequality, it has to be <br />
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| <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 />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:0 --> Examples </h2>
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| <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>
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Octave-reducing a fraction r means to make it fit into the range from 1 (the unisone) to (excluding) 2 (the octave):
1 <= r < 2
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