10ed5: Difference between revisions
Wikispaces>Kosmorsky **Imported revision 276984936 - Original comment: ** |
Wikispaces>Kosmorsky **Imported revision 280908706 - 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:Kosmorsky|Kosmorsky]] and made on <tt>2011-11- | : This revision was by author [[User:Kosmorsky|Kosmorsky]] and made on <tt>2011-11-30 22:41:18 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>280908706</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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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. | 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. | ||
Furthermore, 5ed5 is the simplest hyperpyth tuning, analogous to [[5edo]] and [[4edt]] in their own spheres. So, while the approximation of 9/5, 17/5 and 21/5 are quite far off, these are still categorically important intervals. I think this is a relatively important tuning as well, it would certainly do well on a harmonica. Though it has a step size of around 273 cents, strange melodies may still be crafted around it, however the main feature is likely to be its variety of chords and harmonies | Furthermore, 5ed5 is the simplest hyperpyth tuning, analogous to [[5edo]] and [[4edt]] in their own spheres. So, while the approximation of 9/5, 17/5 and 21/5 are quite far off, these are still categorically important intervals. I think this is a relatively important tuning as well, it would certainly do well on a harmonica. Though it has a step size of around 273 cents, strange melodies may still be crafted around it, however the main feature is likely to be its variety of chords and harmonies. | ||
Adding octaves, strangely enough, relates this tuning to [[53edo]]. | Adding octaves, strangely enough, relates this tuning to [[53edo]]. | ||
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8: 2229.051 cents "17/5" | 8: 2229.051 cents "17/5" | ||
9: 2507.682 cents 21/5 | 9: 2507.682 cents 21/5 | ||
10: 5/1</pre></div> | 10: 5/1 | ||
Music: | |||
[[http://www.youtube.com/watch?v=tjD7Es05zuI|Weird Blues]] -- Kosmorsky</pre></div> | |||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><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> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><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> | ||
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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 /> | 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 /> | <br /> | ||
Furthermore, 5ed5 is the simplest hyperpyth tuning, analogous to <a class="wiki_link" href="/5edo">5edo</a> and <a class="wiki_link" href="/4edt">4edt</a> in their own spheres. So, while the approximation of 9/5, 17/5 and 21/5 are quite far off, these are still categorically important intervals. I think this is a relatively important tuning as well, it would certainly do well on a harmonica. Though it has a step size of around 273 cents, strange melodies may still be crafted around it, however the main feature is likely to be its variety of chords and harmonies | Furthermore, 5ed5 is the simplest hyperpyth tuning, analogous to <a class="wiki_link" href="/5edo">5edo</a> and <a class="wiki_link" href="/4edt">4edt</a> in their own spheres. So, while the approximation of 9/5, 17/5 and 21/5 are quite far off, these are still categorically important intervals. I think this is a relatively important tuning as well, it would certainly do well on a harmonica. Though it has a step size of around 273 cents, strange melodies may still be crafted around it, however the main feature is likely to be its variety of chords and harmonies.<br /> | ||
<br /> | <br /> | ||
Adding octaves, strangely enough, relates this tuning to <a class="wiki_link" href="/53edo">53edo</a>.<br /> | Adding octaves, strangely enough, relates this tuning to <a class="wiki_link" href="/53edo">53edo</a>.<br /> | ||
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8: 2229.051 cents &quot;17/5&quot;<br /> | 8: 2229.051 cents &quot;17/5&quot;<br /> | ||
9: 2507.682 cents 21/5<br /> | 9: 2507.682 cents 21/5<br /> | ||
10: 5/1</body></html></pre></div> | 10: 5/1<br /> | ||
<br /> | |||
Music:<br /> | |||
<br /> | |||
<a class="wiki_link_ext" href="http://www.youtube.com/watch?v=tjD7Es05zuI" rel="nofollow">Weird Blues</a> -- Kosmorsky</body></html></pre></div> | |||