Nearest just interval: Difference between revisions
Wikispaces>genewardsmith **Imported revision 177732685 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 177732917 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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>2010-11-08 23: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-11-08 23:43:29 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>177732917</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> | ||
| Line 13: | Line 13: | ||
==Examples== | ==Examples== | ||
The 600-cent interval (6 steps of [[12edo]], "Tritone") approximates following ratios: | The 600-cent interval sqrt(2) (6 steps of [[12edo]], "Tritone") approximates following ratios: | ||
|| **freq. ratio** || **log([[Tenney Height]])** || **size** in cents || **"error"** in cents || | || **freq. ratio** || **log([[Tenney Height]])** || **size** in cents || **"error"** in cents || | ||
|| ... || ... || ... || ... || | || ... || ... || ... || ... || | ||
| Line 21: | Line 21: | ||
|| ... || ... || ... || ... || | || ... || ... || ... || ... || | ||
The 300-cent interval (3 steps of [[12edo]], "minor third") approximates following ratios: | The 300-cent interval 2^(1/4) (3 steps of [[12edo]], "minor third") approximates following ratios: | ||
|| **freq. ratio** || **log([[Tenney Height]])** || **size** in cents || **"error"** in cents || | || **freq. ratio** || **log([[Tenney Height]])** || **size** in cents || **"error"** in cents || | ||
|| ... || ... || ... || ... || | || ... || ... || ... || ... || | ||
| Line 37: | Line 37: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:0 -->Examples</h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:0 -->Examples</h2> | ||
The 600-cent interval (6 steps of <a class="wiki_link" href="/12edo">12edo</a>, &quot;Tritone&quot;) approximates following ratios:<br /> | The 600-cent interval sqrt(2) (6 steps of <a class="wiki_link" href="/12edo">12edo</a>, &quot;Tritone&quot;) approximates following ratios:<br /> | ||
| Line 104: | Line 104: | ||
<br /> | <br /> | ||
The 300-cent interval (3 steps of <a class="wiki_link" href="/12edo">12edo</a>, &quot;minor third&quot;) approximates following ratios:<br /> | The 300-cent interval 2^(1/4) (3 steps of <a class="wiki_link" href="/12edo">12edo</a>, &quot;minor third&quot;) approximates following ratios:<br /> | ||