Nearest just interval: Difference between revisions
Wikispaces>xenwolf **Imported revision 178159369 - Original comment: corrections in sizes, some precisions unified to 5 digits** |
Wikispaces>xenwolf **Imported revision 178159803 - Original comment: approximation of fifth by prime deleted** |
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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:xenwolf|xenwolf]] and made on <tt>2010-11-10 03: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-11-10 03:38:53 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>178159803</tt>.<br> | ||
: The revision comment was: <tt> | : The revision comment was: <tt>approximation of fifth by prime deleted</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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|| ... || ... || ... || ... || | || ... || ... || ... || ... || | ||
The best rational approximations to log2(3/2) define edos which have especially good approximations to the fifth: | The best rational approximations to log2(3/2) define edos which have especially good approximations to the fifth (701,955000865... cents): | ||
|| **freq. ratio** || **log([[Tenney Height]])** || **size** in cents || **"error"** in cents || | || **freq. ratio** || **log([[Tenney Height]])** || **size** in cents || **"error"** in cents || | ||
|| ... || ... || ... || ... || | || ... || ... || ... || ... || | ||
||= 1 / 1 || 0.0 ||= 1200.0 ||= 498.04 || | ||= 1 / 1 || 0.0 ||= 1200.0 ||= 498.04 || | ||
||= 1 / 2 || 1.0 ||= 600.00 ||= 101.96 || | ||= 1 / 2 || 1.0 ||= 600.00 ||= 101.96 || | ||
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<br /> | <br /> | ||
The best rational approximations to log2(3/2) define edos which have especially good approximations to the fifth:<br /> | The best rational approximations to log2(3/2) define edos which have especially good approximations to the fifth (701,955000865... cents):<br /> | ||
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</td> | </td> | ||
<td>...<br /> | <td>...<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||