5/3: Difference between revisions
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Wikispaces>Andrew_Heathwaite **Imported revision 259796998 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 259808402 - 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>2011-09-29 | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-29 19:00:05 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>259808402</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 [[5-limit]] [[Just Intonation]], 5/3 is | <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 [[5-limit]] [[Just Intonation]], 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the [[OverToneSeries|Harmonic Series]], and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6_5|6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27_16|27/16]] (about 905.9¢) by the syntonic comma of [[81_80|81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and 27/16 are conflated. | ||
5/3 has a more mellow sound than 27/16, owing to its relative smallness. | 5/3 has a more mellow sound than 27/16, owing to its relative smallness. | ||
| Line 12: | Line 12: | ||
See: [[Gallery of Just Intervals]]</pre></div> | See: [[Gallery of Just Intervals]]</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>5_3</title></head><body>In <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 5/3 is | <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>5_3</title></head><body>In <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the <a class="wiki_link" href="/OverToneSeries">Harmonic Series</a>, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is <a class="wiki_link" href="/6_5">6/5</a>, the 5-limit minor third. It differs from the Pythagorean major sixth of <a class="wiki_link" href="/27_16">27/16</a> (about 905.9¢) by the syntonic comma of <a class="wiki_link" href="/81_80">81/80</a> (about 21.5¢). This means that in systems which temper out the syntonic comma, such as <a class="wiki_link" href="/12edo">12edo</a> and <a class="wiki_link" href="/meantone">meantone</a> systems, 5/3 and 27/16 are conflated.<br /> | ||
<br /> | <br /> | ||
5/3 has a more mellow sound than 27/16, owing to its relative smallness.<br /> | 5/3 has a more mellow sound than 27/16, owing to its relative smallness.<br /> | ||
<br /> | <br /> | ||
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | ||
Revision as of 19:00, 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 19:00:05 UTC.
- The original revision id was 259808402.
- 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]], 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the [[OverToneSeries|Harmonic Series]], and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6_5|6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27_16|27/16]] (about 905.9¢) by the syntonic comma of [[81_80|81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and 27/16 are conflated. 5/3 has a more mellow sound than 27/16, owing to its relative smallness. See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>5_3</title></head><body>In <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the <a class="wiki_link" href="/OverToneSeries">Harmonic Series</a>, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is <a class="wiki_link" href="/6_5">6/5</a>, the 5-limit minor third. It differs from the Pythagorean major sixth of <a class="wiki_link" href="/27_16">27/16</a> (about 905.9¢) by the syntonic comma of <a class="wiki_link" href="/81_80">81/80</a> (about 21.5¢). This means that in systems which temper out the syntonic comma, such as <a class="wiki_link" href="/12edo">12edo</a> and <a class="wiki_link" href="/meantone">meantone</a> systems, 5/3 and 27/16 are conflated.<br /> <br /> 5/3 has a more mellow sound than 27/16, owing to its relative smallness.<br /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>