200edo: Difference between revisions

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Wikispaces>JosephRuhf
**Imported revision 601651432 - Original comment: **
Wikispaces>xenwolf
**Imported revision 602893534 - Original comment: Reverted to Oct 20, 2013 6:10 am: reverted last changes that removed valuable content**
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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:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-07 15:43:21 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-29 10:53:27 UTC</tt>.<br>
: The original revision id was <tt>601651432</tt>.<br>
: The original revision id was <tt>602893534</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>Reverted to Oct 20, 2013 6:10 am: reverted last changes that removed valuable content</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
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__**200 tone equal modes:**__
__**200 tone equal modes:**__


[[tel:34 34 15 34 34 34 15|34 34 15 34 34 34 15]]/1 = [[5L 2s|Pythagorean tuning]]
34 34 15 34 34 34 15 = [[5L 2s|Pythagorean tuning]]
16 11 16 11 16 11 16/1 11 16 11 16 11 16 11/1 11 = [[7L 1s|Porcupine tuning]]
32 32 20 32 32 32 20 = [[5L 2s|Meantone tuning]] in the same way of [[50edo]]
[[tel:26 26 26 9 26 26 26|26 26 26 9 26 26 26]]/1 26 9 = [[7L 2s|Superdiatonic tuning]]
27 27 27 27 27 27 27 11 = [[7L 1s|Porcupine 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
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[[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>
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&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;
&lt;a class="wiki_link" href="http://tel.wikispaces.com/34%2034%2015%2034%2034%2034%2015"&gt;34 34 15 34 34 34 15&lt;/a&gt;/1 = &lt;a class="wiki_link" href="/5L%202s"&gt;Pythagorean tuning&lt;/a&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;
16 11 16 11 16 11 16/1 11 16 11 16 11 16 11/1 11 = &lt;a class="wiki_link" href="/7L%201s"&gt;Porcupine 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;
&lt;a class="wiki_link" href="http://tel.wikispaces.com/26%2026%2026%209%2026%2026%2026"&gt;26 26 26 9 26 26 26&lt;/a&gt;/1 26 9 = &lt;a class="wiki_link" href="/7L%202s"&gt;Superdiatonic 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 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;
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&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 10:53, 29 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 xenwolf and made on 2016-12-29 10:53:27 UTC.
The original revision id was 602893534.
The revision comment was: Reverted to Oct 20, 2013 6:10 am: reverted last changes that removed valuable content

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 = [[5L 2s|Pythagorean tuning]]
32 32 20 32 32 32 20 = [[5L 2s|Meantone tuning]] in the same way of [[50edo]]
27 27 27 27 27 27 27 11 = [[7L 1s|Porcupine 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
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 = <a class="wiki_link" href="/5L%202s">Pythagorean tuning</a><br />
32 32 20 32 32 32 20 = <a class="wiki_link" href="/5L%202s">Meantone tuning</a> in the same way of <a class="wiki_link" href="/50edo">50edo</a><br />
27 27 27 27 27 27 27 11 = <a class="wiki_link" href="/7L%201s">Porcupine tuning</a><br />
26 26 26 9 26 26 26 26 9 = <a class="wiki_link" href="/7L%202s">Superdiatonic tuning</a><br />
24 24 24 16 24 24 24 24 16 = <a class="wiki_link" href="/7L%202s">Superdiatonic tuning</a> in the same way of <a class="wiki_link" href="/25edo">25edo</a><br />
22 22 8 22 22 22 8 22 22 22 8 = <a class="wiki_link" href="/8L%203s">Sensi</a><br />
16 16 16 8 16 16 16 16 8 16 16 16 16 8 = <a class="wiki_link" href="/11L%203s">Ketradektriatoh 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>