0edo: Difference between revisions
Wikispaces>davethecomposer **Imported revision 590988684 - Original comment: ** |
Wikispaces>PiotrGrochowski **Imported revision 590996208 - Original comment: Definitely not in standard mathematics** |
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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: | : This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-09-03 06:46:28 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>590996208</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt>Definitely not in standard mathematics</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> | ||
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There are two ways to approach this idea. | There are two ways to approach this idea. | ||
Given that //n////-//edo means that you are dividing the octave into 1///n// equal divisions and that 1/0 is undefined | Given that //n////-//edo means that you are dividing the octave into 1///n// equal divisions and that 1/0 is undefined, it would follow that 0edo would be similarly undefined and thus would comprise no sounds at all. | ||
The other way of looking at it is to see what happens as //n// gets smaller. At 1-edo you have one note per octave. At 0.5-edo you have 1/0.5 which is one note every two octaves. As //n// gets smaller you reach a point where you only have one note within an audible octave range and any other notes outside of this range. Taking this to its conclusion, and assuming you want 0edo to be defined, you would conclude that 0edo is just one note without any octaves.</pre></div> | The other way of looking at it is to see what happens as //n// gets smaller. At 1-edo you have one note per octave. At 0.5-edo you have 1/0.5 which is one note every two octaves. As //n// gets smaller you reach a point where you only have one note within an audible octave range and any other notes outside of this range. Taking this to its conclusion, and assuming you want 0edo to be defined, you would conclude that 0edo is just one note without any octaves.</pre></div> | ||
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There are two ways to approach this idea.<br /> | There are two ways to approach this idea.<br /> | ||
<br /> | <br /> | ||
Given that <em>n</em><em>-</em>edo means that you are dividing the octave into 1<em>/n</em> equal divisions and that 1/0 is undefined | Given that <em>n</em><em>-</em>edo means that you are dividing the octave into 1<em>/n</em> equal divisions and that 1/0 is undefined, it would follow that 0edo would be similarly undefined and thus would comprise no sounds at all.<br /> | ||
<br /> | <br /> | ||
The other way of looking at it is to see what happens as <em>n</em> gets smaller. At 1-edo you have one note per octave. At 0.5-edo you have 1/0.5 which is one note every two octaves. As <em>n</em> gets smaller you reach a point where you only have one note within an audible octave range and any other notes outside of this range. Taking this to its conclusion, and assuming you want 0edo to be defined, you would conclude that 0edo is just one note without any octaves.</body></html></pre></div> | The other way of looking at it is to see what happens as <em>n</em> gets smaller. At 1-edo you have one note per octave. At 0.5-edo you have 1/0.5 which is one note every two octaves. As <em>n</em> gets smaller you reach a point where you only have one note within an audible octave range and any other notes outside of this range. Taking this to its conclusion, and assuming you want 0edo to be defined, you would conclude that 0edo is just one note without any octaves.</body></html></pre></div> | ||