Xenharmonic Wiki

10ed5: Difference between revisions

← Older editNewer edit →
VisualWikitext
Wikispaces>Kosmorsky
**Imported revision 280908706 - Original comment: **
Wikispaces>Kosmorsky
**Imported revision 288953957 - 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:Kosmorsky|Kosmorsky]] and made on <tt>2011-11-30 22:41:18 UTC</tt>.<br>
: This revision was by author [[User:Kosmorsky|Kosmorsky]] and made on <tt>2012-01-01 04:44:18 UTC</tt>.<br>
: The original revision id was <tt>280908706</tt>.<br>
: The original revision id was <tt>288953957</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 10: Line 10:
Half of [[20ed5]] (obviously). But it has important characteristics of its own:
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.
In general, 10ed5 is simply a smashing tuning. The relatively large small steps, about the size of a minor third or an orwell generator, actually work for melodies, and it's harmonies while strange have no lack of impact. It can be used such that the fifth harmonic is equivalent, but of course, doesn't have to.


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.
As 5ed5 is the simplest [[hyperpyth]] tuning, analogous to [[5edo]] and [[4edt]] in their own spheres, this, its double, can be compared, structurally, to, [[10edo]]. While its approximations of 9/5, 17/5 and 21/5 are quite far off, these are still categorically important intervals.


Adding octaves, strangely enough, relates this tuning to [[53edo]].
Adding octaves, strangely enough, relates this tuning to [[53edo]].
Line 36: Line 36:
Half of &lt;a class="wiki_link" href="/20ed5"&gt;20ed5&lt;/a&gt; (obviously). But it has important characteristics of its own:&lt;br /&gt;
Half of &lt;a class="wiki_link" href="/20ed5"&gt;20ed5&lt;/a&gt; (obviously). But it has important characteristics of its own:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Well, as &lt;a class="wiki_link" href="/17ed5"&gt;hyperpyth&lt;/a&gt; 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.&lt;br /&gt;
In general, 10ed5 is simply a smashing tuning. The relatively large small steps, about the size of a minor third or an orwell generator, actually work for melodies, and it's harmonies while strange have no lack of impact. It can be used such that the fifth harmonic is equivalent, but of course, doesn't have to.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Furthermore, 5ed5 is the simplest hyperpyth tuning, analogous to &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; and &lt;a class="wiki_link" href="/4edt"&gt;4edt&lt;/a&gt; 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.&lt;br /&gt;
As 5ed5 is the simplest &lt;a class="wiki_link" href="/hyperpyth"&gt;hyperpyth&lt;/a&gt; tuning, analogous to &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; and &lt;a class="wiki_link" href="/4edt"&gt;4edt&lt;/a&gt; in their own spheres, this, its double, can be compared, structurally, to, &lt;a class="wiki_link" href="/10edo"&gt;10edo&lt;/a&gt;. While its approximations of 9/5, 17/5 and 21/5 are quite far off, these are still categorically important intervals.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Adding octaves, strangely enough, relates this tuning to &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;.&lt;br /&gt;
Adding octaves, strangely enough, relates this tuning to &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;.&lt;br /&gt;
Retrieved from "https://en.xen.wiki/w/10ed5"