10ed5

Revision as of 15:16, 1 November 2011 by Wikispaces>Kosmorsky (**Imported revision 270764670 - Original comment: **)

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This revision was by author Kosmorsky and made on 2011-11-01 15:16:55 UTC.
The original revision id was 270764670.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

=10 equal divisions of the 5th harmonic= 

Well, as [[17ed5|hyperpyth]] is based on the chord 5:9:13:17:(21):25 there ought to be a companion system which emphasizes ratios of 7 and 11. 11/5 is ~30 cents away from the square root of five, so barring a relatively large and complex temperament with 60-80 cent intervals, the square root of five is an adequate approximation. 10ed5 approximates the 7/5 slightly sharp (merging it with 11/8) such that the 77/25 - an important orgone structural element, is within 3 cents of just. This is no coincidence.

Though it has a step size of around 273 cents it has a weird musical sound.

Original HTML content:

<html><head><title>10ed5</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x10 equal divisions of the 5th harmonic"></a><!-- ws:end:WikiTextHeadingRule:0 -->10 equal divisions of the 5th harmonic</h1>
 <br />
Well, as <a class="wiki_link" href="/17ed5">hyperpyth</a> is based on the chord 5:9:13:17:(21):25 there ought to be a companion system which emphasizes ratios of 7 and 11. 11/5 is ~30 cents away from the square root of five, so barring a relatively large and complex temperament with 60-80 cent intervals, the square root of five is an adequate approximation. 10ed5 approximates the 7/5 slightly sharp (merging it with 11/8) such that the 77/25 - an important orgone structural element, is within 3 cents of just. This is no coincidence.<br />
<br />
Though it has a step size of around 273 cents it has a weird musical sound.</body></html>