6/5: Difference between revisions

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**Imported revision 254924332 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 259813958 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-16 19:36:53 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-29 19:23:20 UTC</tt>.<br>
: The original revision id was <tt>254924332</tt>.<br>
: The original revision id was <tt>259813958</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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In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit]] is [[7_6|7/6]] (about 266.9¢), the septimal subminor third, which is [[36_35|36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit]] is [[13_11|13/11]] (about 289.2¢), which is [[66_65|66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.
In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit]] is [[7_6|7/6]] (about 266.9¢), the septimal subminor third, which is [[36_35|36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit]] is [[13_11|13/11]] (about 289.2¢), which is [[66_65|66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.


See: [[Gallery of Just Intervals]]</pre></div>
See: [[Gallery of Just Intervals]], [[List of root-3rd-P5 triads in JI]]</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;6_5&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 6/5 is the classic minor third, measuring about 315.6¢. It is sharp of the Pythagorean minor third of &lt;a class="wiki_link" href="/32_27"&gt;32/27&lt;/a&gt; (about 294.1¢) as well as the 300¢ minor third of &lt;a class="wiki_link" href="/4edo"&gt;4edo&lt;/a&gt;, &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; and all other 4n-&lt;a class="wiki_link" href="/edo"&gt;edo&lt;/a&gt;s. It arises in the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt; between the 5th and 6th overtones and appears in the 5-limit otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; falling between 12 and 15, and &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; falling between 10 and 15.&lt;br /&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;6_5&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 6/5 is the classic minor third, measuring about 315.6¢. It is sharp of the Pythagorean minor third of &lt;a class="wiki_link" href="/32_27"&gt;32/27&lt;/a&gt; (about 294.1¢) as well as the 300¢ minor third of &lt;a class="wiki_link" href="/4edo"&gt;4edo&lt;/a&gt;, &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; and all other 4n-&lt;a class="wiki_link" href="/edo"&gt;edo&lt;/a&gt;s. It arises in the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt; between the 5th and 6th overtones and appears in the 5-limit otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; falling between 12 and 15, and &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; falling between 10 and 15.&lt;br /&gt;
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In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; is &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt; (about 266.9¢), the septimal subminor third, which is &lt;a class="wiki_link" href="/36_35"&gt;36/35&lt;/a&gt; (about 48.8¢) flat of 6/5. Another in the &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; is &lt;a class="wiki_link" href="/13_11"&gt;13/11&lt;/a&gt; (about 289.2¢), which is &lt;a class="wiki_link" href="/66_65"&gt;66/65&lt;/a&gt; (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.&lt;br /&gt;
In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; is &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt; (about 266.9¢), the septimal subminor third, which is &lt;a class="wiki_link" href="/36_35"&gt;36/35&lt;/a&gt; (about 48.8¢) flat of 6/5. Another in the &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; is &lt;a class="wiki_link" href="/13_11"&gt;13/11&lt;/a&gt; (about 289.2¢), which is &lt;a class="wiki_link" href="/66_65"&gt;66/65&lt;/a&gt; (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;, &lt;a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI"&gt;List of root-3rd-P5 triads in JI&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 19:23, 29 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 Andrew_Heathwaite and made on 2011-09-29 19:23:20 UTC.
The original revision id was 259813958.
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 [[5-limit]] [[Just Intonation]], 6/5 is the classic minor third, measuring about 315.6¢. It is sharp of the Pythagorean minor third of [[32_27|32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo]], [[12edo]] and all other 4n-[[edo]]s. It arises in the [[OverToneSeries|harmonic series]] between the 5th and 6th overtones and appears in the 5-limit otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5_4|5/4]] falling between 12 and 15, and [[3_2|3/2]] falling between 10 and 15.

In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit]] is [[7_6|7/6]] (about 266.9¢), the septimal subminor third, which is [[36_35|36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit]] is [[13_11|13/11]] (about 289.2¢), which is [[66_65|66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.

See: [[Gallery of Just Intervals]], [[List of root-3rd-P5 triads in JI]]

Original HTML content:

<html><head><title>6_5</title></head><body>In <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 6/5 is the classic minor third, measuring about 315.6¢. It is sharp of the Pythagorean minor third of <a class="wiki_link" href="/32_27">32/27</a> (about 294.1¢) as well as the 300¢ minor third of <a class="wiki_link" href="/4edo">4edo</a>, <a class="wiki_link" href="/12edo">12edo</a> and all other 4n-<a class="wiki_link" href="/edo">edo</a>s. It arises in the <a class="wiki_link" href="/OverToneSeries">harmonic series</a> between the 5th and 6th overtones and appears in the 5-limit otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, <a class="wiki_link" href="/5_4">5/4</a> falling between 12 and 15, and <a class="wiki_link" href="/3_2">3/2</a> falling between 10 and 15.<br />
<br />
In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the <a class="wiki_link" href="/7-limit">7-limit</a> is <a class="wiki_link" href="/7_6">7/6</a> (about 266.9¢), the septimal subminor third, which is <a class="wiki_link" href="/36_35">36/35</a> (about 48.8¢) flat of 6/5. Another in the <a class="wiki_link" href="/13-limit">13-limit</a> is <a class="wiki_link" href="/13_11">13/11</a> (about 289.2¢), which is <a class="wiki_link" href="/66_65">66/65</a> (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a>, <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">List of root-3rd-P5 triads in JI</a></body></html>