200edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>genewardsmith
**Imported revision 461381926 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 601651352 - 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>2013-10-20 00:10:40 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-07 15:42:28 UTC</tt>.<br>
: The original revision id was <tt>461381926</tt>.<br>
: The original revision id was <tt>601651352</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 12: Line 12:
__**200 tone equal modes:**__
__**200 tone equal modes:**__


34 34 15 34 34 34 15 = [[5L 2s|Pythagorean tuning]]
34 34 15 34 34 34 15/1 = [[5L 2s|Pythagorean tuning]]
32 32 20 32 32 32 20 = [[5L 2s|Meantone tuning]] in the same way of [[50edo]]
16 11 16 11 16 11 16 11 16 11 16 11 16 11 11 = [[7L 1s|Porcupine tuning]]
27 27 27 27 27 27 27 11 = [[7L 1s|Porcupine tuning]]
26 26 26 9 26 26 26/1 26 9 = [[7L 2s|Superdiatonic tuning]]
26 26 26 9 26 26 26 26 9 = [[7L 2s|Superdiatonic tuning]]
24 24 24 16 24 24 24 24 16 = [[7L 2s|Superdiatonic tuning]] in the same way of [[25edo]]
22 22 8 22 22 22 8 22 22 22 8 = [[8L 3s|Sensi]]
16 16 16 8 16 16 16 16 8 16 16 16 16 8 = [[11L 3s|Ketradektriatoh tuning]]


The prime factorization
The prime factorization
Line 25: Line 21:
[[4edo|4]], [[8edo|8]], [[10edo|10]], [[20edo|20]], [[25edo|25]], [[40edo|40]], [[50edo|50]], [[100edo|100]]
[[4edo|4]], [[8edo|8]], [[10edo|10]], [[20edo|20]], [[25edo|25]], [[40edo|40]], [[50edo|50]], [[100edo|100]]


=Music=
=Music=  
[[http://soonlabel.com/xenharmonic/archives/1324|Fugue on Elgar’s Enigma Theme]] [[http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Claudi_Meneghin_Enigma_Fugue.mp3|play]] by Claudi Meneghin</pre></div>
[[http://soonlabel.com/xenharmonic/archives/1324|Fugue on Elgar’s Enigma Theme]] [[http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Claudi_Meneghin_Enigma_Fugue.mp3|play]] by Claudi Meneghin</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
Line 34: Line 30:
&lt;u&gt;&lt;strong&gt;200 tone equal modes:&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;200 tone equal modes:&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
34 34 15 34 34 34 15 = &lt;a class="wiki_link" href="/5L%202s"&gt;Pythagorean tuning&lt;/a&gt;&lt;br /&gt;
34 34 15 34 34 34 15/1 = &lt;a class="wiki_link" href="/5L%202s"&gt;Pythagorean tuning&lt;/a&gt;&lt;br /&gt;
32 32 20 32 32 32 20 = &lt;a class="wiki_link" href="/5L%202s"&gt;Meantone tuning&lt;/a&gt; in the same way of &lt;a class="wiki_link" href="/50edo"&gt;50edo&lt;/a&gt;&lt;br /&gt;
16 11 16 11 16 11 16 11 16 11 16 11 16 11 11 = &lt;a class="wiki_link" href="/7L%201s"&gt;Porcupine tuning&lt;/a&gt;&lt;br /&gt;
27 27 27 27 27 27 27 11 = &lt;a class="wiki_link" href="/7L%201s"&gt;Porcupine tuning&lt;/a&gt;&lt;br /&gt;
26 26 26 9 26 26 26/1 26 9 = &lt;a class="wiki_link" href="/7L%202s"&gt;Superdiatonic tuning&lt;/a&gt;&lt;br /&gt;
26 26 26 9 26 26 26 26 9 = &lt;a class="wiki_link" href="/7L%202s"&gt;Superdiatonic tuning&lt;/a&gt;&lt;br /&gt;
24 24 24 16 24 24 24 24 16 = &lt;a class="wiki_link" href="/7L%202s"&gt;Superdiatonic tuning&lt;/a&gt; in the same way of &lt;a class="wiki_link" href="/25edo"&gt;25edo&lt;/a&gt;&lt;br /&gt;
22 22 8 22 22 22 8 22 22 22 8 = &lt;a class="wiki_link" href="/8L%203s"&gt;Sensi&lt;/a&gt;&lt;br /&gt;
16 16 16 8 16 16 16 16 8 16 16 16 16 8 = &lt;a class="wiki_link" href="/11L%203s"&gt;Ketradektriatoh tuning&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The prime factorization&lt;br /&gt;
The prime factorization&lt;br /&gt;
Line 48: Line 40:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Music&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Music&lt;/h1&gt;
&lt;a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/archives/1324" rel="nofollow"&gt;Fugue on Elgar’s Enigma Theme&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Claudi_Meneghin_Enigma_Fugue.mp3" rel="nofollow"&gt;play&lt;/a&gt; by Claudi Meneghin&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/archives/1324" rel="nofollow"&gt;Fugue on Elgar’s Enigma Theme&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Claudi_Meneghin_Enigma_Fugue.mp3" rel="nofollow"&gt;play&lt;/a&gt; by Claudi Meneghin&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 15:42, 7 December 2016

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author JosephRuhf and made on 2016-12-07 15:42:28 UTC.
The original revision id was 601651352.
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:

=<span style="color: #007261; font-family: 'Times New Roman',Times,serif; font-size: 113%;">200 tone equal temperament</span>= 

==<span style="font-size: 13px; font-weight: normal; line-height: 19px;">200 [[EDO]] divides the octave into 200 parts of exactly **6 cents** each, and contains a [[perfect fifth]] of exactly **702 cents** and a [[perfect fourth]] of exactly **498** cents, which is quite accurate, with an error of about 1/22 cent. It tempers out the schisma, 32805/32768, in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports [[Schismatic family#Guiron|guiron temperament]].</span>== 

__**200 tone equal modes:**__

34 34 15 34 34 34 15/1 = [[5L 2s|Pythagorean tuning]]
16 11 16 11 16 11 16 11 16 11 16 11 16 11 11 = [[7L 1s|Porcupine tuning]]
26 26 26 9 26 26 26/1 26 9 = [[7L 2s|Superdiatonic tuning]]

The prime factorization
200 = [[2edo|2]]<span style="vertical-align: super;">3</span> * [[5edo|5]]<span style="vertical-align: super;">2</span>
leads to these further divisors
[[4edo|4]], [[8edo|8]], [[10edo|10]], [[20edo|20]], [[25edo|25]], [[40edo|40]], [[50edo|50]], [[100edo|100]]

=Music= 
[[http://soonlabel.com/xenharmonic/archives/1324|Fugue on Elgar’s Enigma Theme]] [[http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Claudi_Meneghin_Enigma_Fugue.mp3|play]] by Claudi Meneghin

Original HTML content:

<html><head><title>200edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x200 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #007261; font-family: 'Times New Roman',Times,serif; font-size: 113%;">200 tone equal temperament</span></h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x200 tone equal temperament-200 guiron temperament."></a><!-- ws:end:WikiTextHeadingRule:2 --><span style="font-size: 13px; font-weight: normal; line-height: 19px;">200 <a class="wiki_link" href="/EDO">EDO</a> divides the octave into 200 parts of exactly <strong>6 cents</strong> each, and contains a <a class="wiki_link" href="/perfect%20fifth">perfect fifth</a> of exactly <strong>702 cents</strong> and a <a class="wiki_link" href="/perfect%20fourth">perfect fourth</a> of exactly <strong>498</strong> cents, which is quite accurate, with an error of about 1/22 cent. It tempers out the schisma, 32805/32768, in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports <a class="wiki_link" href="/Schismatic%20family#Guiron">guiron temperament</a>.</span></h2>
 <br />
<u><strong>200 tone equal modes:</strong></u><br />
<br />
34 34 15 34 34 34 15/1 = <a class="wiki_link" href="/5L%202s">Pythagorean tuning</a><br />
16 11 16 11 16 11 16 11 16 11 16 11 16 11 11 = <a class="wiki_link" href="/7L%201s">Porcupine tuning</a><br />
26 26 26 9 26 26 26/1 26 9 = <a class="wiki_link" href="/7L%202s">Superdiatonic tuning</a><br />
<br />
The prime factorization<br />
200 = <a class="wiki_link" href="/2edo">2</a><span style="vertical-align: super;">3</span> * <a class="wiki_link" href="/5edo">5</a><span style="vertical-align: super;">2</span><br />
leads to these further divisors<br />
<a class="wiki_link" href="/4edo">4</a>, <a class="wiki_link" href="/8edo">8</a>, <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/20edo">20</a>, <a class="wiki_link" href="/25edo">25</a>, <a class="wiki_link" href="/40edo">40</a>, <a class="wiki_link" href="/50edo">50</a>, <a class="wiki_link" href="/100edo">100</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:4 -->Music</h1>
 <a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/archives/1324" rel="nofollow">Fugue on Elgar’s Enigma Theme</a> <a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Claudi_Meneghin_Enigma_Fugue.mp3" rel="nofollow">play</a> by Claudi Meneghin</body></html>