200edo: Difference between revisions

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Wikispaces>xenwolf
**Imported revision 239484173 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 250311266 - 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:xenwolf|xenwolf]] and made on <tt>2011-06-30 08:50:18 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-02 11:13:23 UTC</tt>.<br>
: The original revision id was <tt>239484173</tt>.<br>
: The original revision id was <tt>250311266</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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<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;=  
<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]] contains a [[perfect fourth]] and [[perfect fifth]] in exactly **498 and 702 cents.**&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]] and 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;==  


**200 tone equal modes:**
**200 tone equal modes:**
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<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;&lt;strong&gt;200&lt;/strong&gt; tone equal temperament&lt;/span&gt;&lt;/h1&gt;
<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;&lt;strong&gt;200&lt;/strong&gt; tone equal temperament&lt;/span&gt;&lt;/h1&gt;
  &lt;br /&gt;
  &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 EDO contains a perfect fourth and perfect fifth in exactly 498 and 702 cents."&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; contains a &lt;a class="wiki_link" href="/perfect%20fourth"&gt;perfect fourth&lt;/a&gt; and &lt;a class="wiki_link" href="/perfect%20fifth"&gt;perfect fifth&lt;/a&gt; in exactly &lt;strong&gt;498 and 702 cents.&lt;/strong&gt;&lt;/span&gt;&lt;/h2&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; and 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;br /&gt;
&lt;strong&gt;200 tone equal modes:&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;200 tone equal modes:&lt;/strong&gt;&lt;br /&gt;

Revision as of 11:13, 2 September 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 genewardsmith and made on 2011-09-02 11:13:23 UTC.
The original revision id was 250311266.
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]] and 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 = MOS 5L2s (Pytagorean tuning)
32 32 20 32 32 32 20 = Meantone tuning (like a [[50edo]])
27 27 27 27 27 27 27 11 = MOS 7L1s (Porcupine-8 tuning (aka Octamonatonic Scale))
26 26 26 9 26 26 26 26 9 = MOS 7L2s (The most important Armodue-Hornbostel (aka Nonnadiatonic Scale), (Bright mode))
24 24 24 16 24 24 24 24 16 = Armodue-Mesotonic tuning (like a [[25edo]]), (Mellow mode)
22 22 8 22 22 22 8 22 22 22 8 = Sensi-11 (or Undecimal Triatonic)
16 16 16 8 16 16 16 16 8 16 16 16 16 8 = Tetradecimal Triatonic Scale (Witnots)

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]]

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%;"><strong>200</strong> 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> and 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 />
<strong>200 tone equal modes:</strong><br />
34 34 15 34 34 34 15 = MOS 5L2s (Pytagorean tuning)<br />
32 32 20 32 32 32 20 = Meantone tuning (like a <a class="wiki_link" href="/50edo">50edo</a>)<br />
27 27 27 27 27 27 27 11 = MOS 7L1s (Porcupine-8 tuning (aka Octamonatonic Scale))<br />
26 26 26 9 26 26 26 26 9 = MOS 7L2s (The most important Armodue-Hornbostel (aka Nonnadiatonic Scale), (Bright mode))<br />
24 24 24 16 24 24 24 24 16 = Armodue-Mesotonic tuning (like a <a class="wiki_link" href="/25edo">25edo</a>), (Mellow mode)<br />
22 22 8 22 22 22 8 22 22 22 8 = Sensi-11 (or Undecimal Triatonic)<br />
16 16 16 8 16 16 16 16 8 16 16 16 16 8 = Tetradecimal Triatonic Scale (Witnots)<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></body></html>