10ed5: Difference between revisions
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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 /> | ||
| Line 48: | Line 52: | ||
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> | |||
Revision as of 22:41, 30 November 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Kosmorsky and made on 2011-11-30 22:41:18 UTC.
- The original revision id was 280908706.
- 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= Half of [[20ed5]] (obviously). But it has important characteristics of its own: 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. Adding octaves, strangely enough, relates this tuning to [[53edo]]. 0: 1/1 1: 278.631 cents 13/11 2: 557.263 cents 7/5 3: 835.894 cents 4: 1114.525 cents "9/5" 5: 1393.157 cents 11/5 6: 1671.788 cents 13/5 7: 1950.420 cents 8: 2229.051 cents "17/5" 9: 2507.682 cents 21/5 10: 5/1 Music: [[http://www.youtube.com/watch?v=tjD7Es05zuI|Weird Blues]] -- Kosmorsky
Original HTML content:
<html><head><title>10ed5</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><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 /> Half of <a class="wiki_link" href="/20ed5">20ed5</a> (obviously). But it has important characteristics of its own:<br /> <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 /> 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 /> Adding octaves, strangely enough, relates this tuning to <a class="wiki_link" href="/53edo">53edo</a>.<br /> <br /> 0: 1/1<br /> 1: 278.631 cents 13/11<br /> 2: 557.263 cents 7/5<br /> 3: 835.894 cents<br /> 4: 1114.525 cents "9/5"<br /> 5: 1393.157 cents 11/5<br /> 6: 1671.788 cents 13/5<br /> 7: 1950.420 cents<br /> 8: 2229.051 cents "17/5"<br /> 9: 2507.682 cents 21/5<br /> 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>