Just perfect fifth: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 238907269 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 238907361 - 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>2011-06-27 03:52:25 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-27 03:53:36 UTC</tt>.<br>
: The original revision id was <tt>238907269</tt>.<br>
: The original revision id was <tt>238907361</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:


Some better (compared to 12edo) approximations of the perfect fifth are [[29edo]], [[41edo]], [[53edo]]...
Some better (compared to 12edo) approximations of the perfect fifth are [[29edo]], [[41edo]], [[53edo]]...
(see all at [[http://oeis.org/A060528|The On-Line Encyclopedia of Integer Sequences (OEIS)]]; also relevant are the [[http://oeis.org/A005664|denominators of the convergents to log2(3)]].
(see all at [[http://oeis.org/A060528|The On-Line Encyclopedia of Integer Sequences (OEIS)]]; also relevant are the [[http://oeis.org/A005664|denominators of the convergents to log2(3)]]).


In composition, the presence of perfect fifths can provide a "ground" upon which unusual intervals may be placed while still sounding structurally coherent. Systems excluding perfect fifths can thus sound more "xenharmonic".
In composition, the presence of perfect fifths can provide a "ground" upon which unusual intervals may be placed while still sounding structurally coherent. Systems excluding perfect fifths can thus sound more "xenharmonic".
Line 26: Line 26:
&lt;br /&gt;
&lt;br /&gt;
Some better (compared to 12edo) approximations of the perfect fifth are &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;, &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;...&lt;br /&gt;
Some better (compared to 12edo) approximations of the perfect fifth are &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;, &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;...&lt;br /&gt;
(see all at &lt;a class="wiki_link_ext" href="http://oeis.org/A060528" rel="nofollow"&gt;The On-Line Encyclopedia of Integer Sequences (OEIS)&lt;/a&gt;; also relevant are the &lt;a class="wiki_link_ext" href="http://oeis.org/A005664" rel="nofollow"&gt;denominators of the convergents to log2(3)&lt;/a&gt;.&lt;br /&gt;
(see all at &lt;a class="wiki_link_ext" href="http://oeis.org/A060528" rel="nofollow"&gt;The On-Line Encyclopedia of Integer Sequences (OEIS)&lt;/a&gt;; also relevant are the &lt;a class="wiki_link_ext" href="http://oeis.org/A005664" rel="nofollow"&gt;denominators of the convergents to log2(3)&lt;/a&gt;).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In composition, the presence of perfect fifths can provide a &amp;quot;ground&amp;quot; upon which unusual intervals may be placed while still sounding structurally coherent. Systems excluding perfect fifths can thus sound more &amp;quot;xenharmonic&amp;quot;.&lt;br /&gt;
In composition, the presence of perfect fifths can provide a &amp;quot;ground&amp;quot; upon which unusual intervals may be placed while still sounding structurally coherent. Systems excluding perfect fifths can thus sound more &amp;quot;xenharmonic&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
...see also &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Perfect_fifth" rel="nofollow"&gt;Perfect fifth on Wikipedia&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
...see also &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Perfect_fifth" rel="nofollow"&gt;Perfect fifth on Wikipedia&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>