200edo: Difference between revisions

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**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>
=<span style="color: #007261; font-family: 'Times New Roman',Times,serif; font-size: 113%;">200 tone equal temperament</span>=
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<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>602893534</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>
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">=&lt;span style="color: #007261; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;200 tone equal temperament&lt;/span&gt;=  


==&lt;span style="font-size: 13px; font-weight: normal; line-height: 19px;"&gt;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]].&lt;/span&gt;==  
==<span style="font-size: 13px; font-weight: normal; line-height: 19px;">200 [[EDO|EDO]] divides the octave into 200 parts of exactly '''6 cents''' each, and contains a [[perfect_fifth|perfect fifth]] of exactly '''702 cents''' and a [[Perfect_fourth|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:**__
<u>'''200 tone equal modes:'''</u>


34 34 15 34 34 34 15 = [[5L 2s|Pythagorean tuning]]
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]]
32 32 20 32 32 32 20 = [[5L_2s|Meantone tuning]] in the same way of [[50edo|50edo]]
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]]
27 27 27 27 27 27 27 11 = [[7L_1s|Porcupine tuning]]
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]]
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|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
200 = [[2edo|2]]&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; * [[5edo|5]]&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;
 
200 = [[2edo|2]]<span style="vertical-align: super;">3</span> * [[5edo|5]]<span style="vertical-align: super;">2</span>
 
leads to these further divisors
leads to these further divisors
[[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
<h4>Original HTML content:</h4>
[[Category:edo]]
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;200edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x200 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #007261; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;200 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
[[Category:todo:intro]]
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x200 tone equal temperament-200 guiron temperament."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;span style="font-size: 13px; font-weight: normal; line-height: 19px;"&gt;200 &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt; divides the octave into 200 parts of exactly &lt;strong&gt;6 cents&lt;/strong&gt; each, and contains a &lt;a class="wiki_link" href="/perfect%20fifth"&gt;perfect fifth&lt;/a&gt; of exactly &lt;strong&gt;702 cents&lt;/strong&gt; and a &lt;a class="wiki_link" href="/perfect%20fourth"&gt;perfect fourth&lt;/a&gt; of exactly &lt;strong&gt;498&lt;/strong&gt; 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 &lt;a class="wiki_link" href="/Schismatic%20family#Guiron"&gt;guiron temperament&lt;/a&gt;.&lt;/span&gt;&lt;/h2&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;
34 34 15 34 34 34 15 = &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;
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;
The prime factorization&lt;br /&gt;
200 = &lt;a class="wiki_link" href="/2edo"&gt;2&lt;/a&gt;&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; * &lt;a class="wiki_link" href="/5edo"&gt;5&lt;/a&gt;&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;&lt;br /&gt;
leads to these further divisors&lt;br /&gt;
&lt;a class="wiki_link" href="/4edo"&gt;4&lt;/a&gt;, &lt;a class="wiki_link" href="/8edo"&gt;8&lt;/a&gt;, &lt;a class="wiki_link" href="/10edo"&gt;10&lt;/a&gt;, &lt;a class="wiki_link" href="/20edo"&gt;20&lt;/a&gt;, &lt;a class="wiki_link" href="/25edo"&gt;25&lt;/a&gt;, &lt;a class="wiki_link" href="/40edo"&gt;40&lt;/a&gt;, &lt;a class="wiki_link" href="/50edo"&gt;50&lt;/a&gt;, &lt;a class="wiki_link" href="/100edo"&gt;100&lt;/a&gt;&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;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>