200edo

Revision as of 03:15, 30 April 2012 by Wikispaces>Osmiorisbendi (**Imported revision 327189246 - Original comment: **)

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This revision was by author Osmiorisbendi and made on 2012-04-30 03:15:28 UTC.
The original revision id was 327189246.
The revision comment was:

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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|Pytagorean tuning]]
32 32 20 32 32 32 20 = Meantone tuning (the same of [[50edo]])
27 27 27 27 27 27 27 11 = [[7L 1s|Porcupine Tuning]]
26 26 26 9 26 26 26 26 9 = Hornbostel 1/26-tone (26;9 superdiatonic relation)
24 24 24 16 24 24 24 24 16 = [[7L 2s|Armodue-Mávila]] tuning (the same 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]]

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> 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">Pytagorean tuning</a><br />
32 32 20 32 32 32 20 = Meantone tuning (the same 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 = Hornbostel 1/26-tone (26;9 superdiatonic relation)<br />
24 24 24 16 24 24 24 24 16 = <a class="wiki_link" href="/7L%202s">Armodue-Mávila</a> tuning (the same 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></body></html>