1/2-comma meantone: Difference between revisions

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Wikispaces>glennobrien
**Imported revision 259961950 - Original comment: **
 
Wikispaces>keenanpepper
**Imported revision 260054158 - 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:glennobrien|glennobrien]] and made on <tt>2011-09-30 09:19:05 UTC</tt>.<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-09-30 13:15:57 UTC</tt>.<br>
: The original revision id was <tt>259961950</tt>.<br>
: The original revision id was <tt>260054158</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">In 1/2-comma [[meantone]] temperament, each perfect fifth is tempered by a half of a [[Syntonic Comma|syntonic comma]] from its just value of [[3_2|3/2]]. This results in minor sevenths being exactly 9/5 (and major seconds being exactly 10/9).</pre></div>
<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">In 1/2-comma [[meantone]] temperament, each perfect fifth is tempered by a half of a [[Syntonic Comma|syntonic comma]] from its just value of [[3_2|3/2]]. This results in minor sevenths being exactly 9/5 (and major seconds being exactly 10/9).
 
In this system, the "major thirds" are exactly 100/81 or approximately 365 cents, thus bordering on neutral thirds. The fifths of this temperament are even narrower than those of [[26edo]], which is the most likely candidate for a closed system approximating this meantone.</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;1-2 syntonic comma meantone&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In 1/2-comma &lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt; temperament, each perfect fifth is tempered by a half of a &lt;a class="wiki_link" href="/Syntonic%20Comma"&gt;syntonic comma&lt;/a&gt; from its just value of &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;. This results in minor sevenths being exactly 9/5 (and major seconds being exactly 10/9).&lt;/body&gt;&lt;/html&gt;</pre></div>
<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;1-2 syntonic comma meantone&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In 1/2-comma &lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt; temperament, each perfect fifth is tempered by a half of a &lt;a class="wiki_link" href="/Syntonic%20Comma"&gt;syntonic comma&lt;/a&gt; from its just value of &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;. This results in minor sevenths being exactly 9/5 (and major seconds being exactly 10/9).&lt;br /&gt;
&lt;br /&gt;
In this system, the &amp;quot;major thirds&amp;quot; are exactly 100/81 or approximately 365 cents, thus bordering on neutral thirds. The fifths of this temperament are even narrower than those of &lt;a class="wiki_link" href="/26edo"&gt;26edo&lt;/a&gt;, which is the most likely candidate for a closed system approximating this meantone.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 13:15, 30 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 keenanpepper and made on 2011-09-30 13:15:57 UTC.
The original revision id was 260054158.
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:

In 1/2-comma [[meantone]] temperament, each perfect fifth is tempered by a half of a [[Syntonic Comma|syntonic comma]] from its just value of [[3_2|3/2]]. This results in minor sevenths being exactly 9/5 (and major seconds being exactly 10/9).

In this system, the "major thirds" are exactly 100/81 or approximately 365 cents, thus bordering on neutral thirds. The fifths of this temperament are even narrower than those of [[26edo]], which is the most likely candidate for a closed system approximating this meantone.

Original HTML content:

<html><head><title>1-2 syntonic comma meantone</title></head><body>In 1/2-comma <a class="wiki_link" href="/meantone">meantone</a> temperament, each perfect fifth is tempered by a half of a <a class="wiki_link" href="/Syntonic%20Comma">syntonic comma</a> from its just value of <a class="wiki_link" href="/3_2">3/2</a>. This results in minor sevenths being exactly 9/5 (and major seconds being exactly 10/9).<br />
<br />
In this system, the &quot;major thirds&quot; are exactly 100/81 or approximately 365 cents, thus bordering on neutral thirds. The fifths of this temperament are even narrower than those of <a class="wiki_link" href="/26edo">26edo</a>, which is the most likely candidate for a closed system approximating this meantone.</body></html>