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Nearest just interval: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 177738501 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 178128839 - Original comment: **
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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:genewardsmith|genewardsmith]] and made on <tt>2010-11-09 00:30:40 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-11-09 23:06:12 UTC</tt>.<br>
: The original revision id was <tt>177738501</tt>.<br>
: The original revision id was <tt>178128839</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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||= 25 / 21 ||= 9.036 ||= 301.84 ||= 1.84 ||
||= 25 / 21 ||= 9.036 ||= 301.84 ||= 1.84 ||
|| ... || ... || ... || ... ||
|| ... || ... || ... || ... ||
The best rational approximations to log2(3/2) define edos which have especially good approximations to the fifth:
|| **freq. ratio** || **log([[Tenney Height]])** || **size** in cents || **"error"** in cents ||
|| ... || ... || ... || ... ||
||= 0 / 1 || X || X ||= 701.96 ||
||= 1 / 1 || 0.0 ||= 1200.0 ||= 498.04 ||
||= 1 / 2 || 1.0 ||= -1200.0 ||= 101.96 ||
||= 2 / 3 || 2.585 ||= -701.96 ||= 98.04 ||
||= 3 / 5 || 3.907 ||= -884.36 ||= 18.04 ||
||= 4 / 7 || 4.807 ||= -968.83 ||= 16.24 ||
||= 7 / 12 || 6.392 ||= -933.129 ||= 1.955 ||
||= 17 / 29 || 8.945 ||= -924.622 ||= 1.493 ||
||= 24 / 41 || 9.943 ||= -927.107 ||= 0.484 ||
</pre></div>
</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;...&lt;br /&gt;
         &lt;td&gt;...&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
The best rational approximations to log2(3/2) define edos which have especially good approximations to the fifth:&lt;br /&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;freq. ratio&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;log(&lt;a class="wiki_link" href="/Tenney%20Height"&gt;Tenney Height&lt;/a&gt;)&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;size&lt;/strong&gt; in cents&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;&amp;quot;error&amp;quot;&lt;/strong&gt; in cents&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;...&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;...&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;...&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;...&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;0 / 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;X&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;X&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;701.96&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;1 / 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0.0&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;1200.0&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;498.04&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;1 / 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1.0&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;-1200.0&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;101.96&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;2 / 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2.585&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;-701.96&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;98.04&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;3 / 5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3.907&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;-884.36&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;18.04&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;4 / 7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4.807&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;-968.83&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;16.24&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;7 / 12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.392&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;-933.129&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;1.955&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;17 / 29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8.945&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;-924.622&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;1.493&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;24 / 41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.943&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;-927.107&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;0.484&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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