Nearest just interval
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2010-06-06 17:12:15 UTC.
- The original revision id was 147266335.
- The revision comment was: the inverse isn't so interesting...
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
An interval given by its logarhithmic size measure (like [[cent]]s or amount of edo-atoms) has an infinite list of //nearest just intervals// ==Example== The 600-cent interval (6 steps of [[12edo]], "Tritone") approximates following ratios: || **freq. ratio** || **log([[Tenney Height]])** || **size** in cents || **"error"** in cents || || ... || ... || ... || ... || ||= 3 / 2 ||= 2.585 ||= 701.96 ||= 101.96 || ||= 7 / 5 ||= 5.129 ||= 582.51 ||= 17.49 || ||= 17 / 12 ||= 7.672 ||= 603.00 ||= 3.000 || || ... || ... || ... || ... ||
Original HTML content:
<html><head><title>Nearest just interval</title></head><body>An interval given by its logarhithmic size measure (like <a class="wiki_link" href="/cent">cent</a>s or amount of edo-atoms) has an infinite list of <em>nearest just intervals</em><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Example"></a><!-- ws:end:WikiTextHeadingRule:0 -->Example</h2>
The 600-cent interval (6 steps of <a class="wiki_link" href="/12edo">12edo</a>, "Tritone") approximates following ratios:<br />
<br />
<table class="wiki_table">
<tr>
<td><strong>freq. ratio</strong><br />
</td>
<td><strong>log(<a class="wiki_link" href="/Tenney%20Height">Tenney Height</a>)</strong><br />
</td>
<td><strong>size</strong> in cents<br />
</td>
<td><strong>"error"</strong> in cents<br />
</td>
</tr>
<tr>
<td>...<br />
</td>
<td>...<br />
</td>
<td>...<br />
</td>
<td>...<br />
</td>
</tr>
<tr>
<td style="text-align: center;">3 / 2<br />
</td>
<td style="text-align: center;">2.585<br />
</td>
<td style="text-align: center;">701.96<br />
</td>
<td style="text-align: center;">101.96<br />
</td>
</tr>
<tr>
<td style="text-align: center;">7 / 5<br />
</td>
<td style="text-align: center;">5.129<br />
</td>
<td style="text-align: center;">582.51<br />
</td>
<td style="text-align: center;">17.49<br />
</td>
</tr>
<tr>
<td style="text-align: center;">17 / 12<br />
</td>
<td style="text-align: center;">7.672<br />
</td>
<td style="text-align: center;">603.00<br />
</td>
<td style="text-align: center;">3.000<br />
</td>
</tr>
<tr>
<td>...<br />
</td>
<td>...<br />
</td>
<td>...<br />
</td>
<td>...<br />
</td>
</tr>
</table>
</body></html>