100/99: Difference between revisions
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Wikispaces>Andrew_Heathwaite **Imported revision 254141930 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 266596898 - 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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-19 19:10:39 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>266596898</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 [[Just Intonation]],100/99 is a [[superparticular]] interval around 17.4¢ which makes the difference between [[11_10|11/10]], the greater undecimal neutral second of about 165¢, and [[10_9|10/9]], the 5-limit minor whole tone of about 182.4¢. Temperaments in which 100/99 is tempered out include [[22edo]], [[41edo]] and others; in such systems, 11/10 and 10/9 are equated. This is in contrast to the more familiar tempering out of [[81_80|81/80]], which results in meantone and other temperaments, in which 10/9 is equated, not with 11/10, but with [[9_8|9/8]]. | <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 [[Just Intonation]],100/99 is a [[superparticular]] interval (the ptolemisma) of around 17.4¢ which makes the difference between [[11_10|11/10]], the greater undecimal neutral second of about 165¢, and [[10_9|10/9]], the 5-limit minor whole tone of about 182.4¢. Temperaments in which 100/99 is tempered out include [[22edo]], [[41edo]] and others; in such systems, 11/10 and 10/9 are equated. This is in contrast to the more familiar tempering out of [[81_80|81/80]], which results in meantone and other temperaments, in which 10/9 is equated, not with 11/10, but with [[9_8|9/8]]. Tempering out 100/99 allows for the [[ptolemismic triad]]. | ||
See: [[Gallery of Just Intervals|Galley of Just Intervals]]</pre></div> | See: [[Gallery of Just Intervals|Galley 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>100_99</title></head><body>In <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>,100/99 is a <a class="wiki_link" href="/superparticular">superparticular</a> interval around 17.4¢ which makes the difference between <a class="wiki_link" href="/11_10">11/10</a>, the greater undecimal neutral second of about 165¢, and <a class="wiki_link" href="/10_9">10/9</a>, the 5-limit minor whole tone of about 182.4¢. Temperaments in which 100/99 is tempered out include <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/41edo">41edo</a> and others; in such systems, 11/10 and 10/9 are equated. This is in contrast to the more familiar tempering out of <a class="wiki_link" href="/81_80">81/80</a>, which results in meantone and other temperaments, in which 10/9 is equated, not with 11/10, but with <a class="wiki_link" href="/9_8">9/8</a>.<br /> | <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>100_99</title></head><body>In <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>,100/99 is a <a class="wiki_link" href="/superparticular">superparticular</a> interval (the ptolemisma) of around 17.4¢ which makes the difference between <a class="wiki_link" href="/11_10">11/10</a>, the greater undecimal neutral second of about 165¢, and <a class="wiki_link" href="/10_9">10/9</a>, the 5-limit minor whole tone of about 182.4¢. Temperaments in which 100/99 is tempered out include <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/41edo">41edo</a> and others; in such systems, 11/10 and 10/9 are equated. This is in contrast to the more familiar tempering out of <a class="wiki_link" href="/81_80">81/80</a>, which results in meantone and other temperaments, in which 10/9 is equated, not with 11/10, but with <a class="wiki_link" href="/9_8">9/8</a>. Tempering out 100/99 allows for the <a class="wiki_link" href="/ptolemismic%20triad">ptolemismic triad</a>.<br /> | ||
<br /> | <br /> | ||
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Galley of Just Intervals</a></body></html></pre></div> | See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Galley of Just Intervals</a></body></html></pre></div> | ||
Revision as of 19:10, 19 October 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 genewardsmith and made on 2011-10-19 19:10:39 UTC.
- The original revision id was 266596898.
- 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 [[Just Intonation]],100/99 is a [[superparticular]] interval (the ptolemisma) of around 17.4¢ which makes the difference between [[11_10|11/10]], the greater undecimal neutral second of about 165¢, and [[10_9|10/9]], the 5-limit minor whole tone of about 182.4¢. Temperaments in which 100/99 is tempered out include [[22edo]], [[41edo]] and others; in such systems, 11/10 and 10/9 are equated. This is in contrast to the more familiar tempering out of [[81_80|81/80]], which results in meantone and other temperaments, in which 10/9 is equated, not with 11/10, but with [[9_8|9/8]]. Tempering out 100/99 allows for the [[ptolemismic triad]]. See: [[Gallery of Just Intervals|Galley of Just Intervals]]
Original HTML content:
<html><head><title>100_99</title></head><body>In <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>,100/99 is a <a class="wiki_link" href="/superparticular">superparticular</a> interval (the ptolemisma) of around 17.4¢ which makes the difference between <a class="wiki_link" href="/11_10">11/10</a>, the greater undecimal neutral second of about 165¢, and <a class="wiki_link" href="/10_9">10/9</a>, the 5-limit minor whole tone of about 182.4¢. Temperaments in which 100/99 is tempered out include <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/41edo">41edo</a> and others; in such systems, 11/10 and 10/9 are equated. This is in contrast to the more familiar tempering out of <a class="wiki_link" href="/81_80">81/80</a>, which results in meantone and other temperaments, in which 10/9 is equated, not with 11/10, but with <a class="wiki_link" href="/9_8">9/8</a>. Tempering out 100/99 allows for the <a class="wiki_link" href="/ptolemismic%20triad">ptolemismic triad</a>.<br /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Galley of Just Intervals</a></body></html>