200edo: Difference between revisions
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Wikispaces>Osmiorisbendi **Imported revision 327189246 - Original comment: ** |
Wikispaces>Osmiorisbendi **Imported revision 429133232 - 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:Osmiorisbendi|Osmiorisbendi]] and made on <tt> | : This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2013-05-06 04:52:33 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>429133232</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> | ||
<h4>Original Wikitext content:</h4> | <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">=<span style="color: #007261; font-family: | <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">=<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>== | ==<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>== | ||
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__**200 tone equal modes:**__ | __**200 tone equal modes:**__ | ||
34 34 15 34 34 34 15 = [[5L 2s| | 34 34 15 34 34 34 15 = [[5L 2s|Pythagorean tuning]] | ||
32 32 20 32 32 32 20 = Meantone 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 | 27 27 27 27 27 27 27 11 = [[7L 1s|Porcupine tuning]] | ||
26 26 26 9 26 26 26 26 9 = | 26 26 26 9 26 26 26 26 9 = [[7L 2s|Superdiatonic tuning]] | ||
24 24 24 16 24 24 24 24 16 = [[7L 2s| | 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]] | 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 | 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]]</pre></div> | [[4edo|4]], [[8edo|8]], [[10edo|10]], [[20edo|20]], [[25edo|25]], [[40edo|40]], [[50edo|50]], [[100edo|100]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><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: | <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"><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 /> | <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> | <!-- 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> | ||
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<u><strong>200 tone equal modes:</strong></u><br /> | <u><strong>200 tone equal modes:</strong></u><br /> | ||
<br /> | <br /> | ||
34 34 15 34 34 34 15 = <a class="wiki_link" href="/5L%202s"> | 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 = Meantone tuning | 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 | 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 = | 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"> | 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 /> | 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 | 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 /> | <br /> | ||
The prime factorization<br /> | The prime factorization<br /> | ||
Revision as of 04:52, 6 May 2013
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Osmiorisbendi and made on 2013-05-06 04:52:33 UTC.
- The original revision id was 429133232.
- 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 = [[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]]
Original HTML content:
<html><head><title>200edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><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:<h2> --><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></body></html>