13/11: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>Andrew_Heathwaite **Imported revision 259387940 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 259388380 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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>2011-09-28 20: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-28 20:07:03 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>259388380</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 [[13-limit]] [[Just Intonation]], 13/11 is the tridecimal minor third, measuring about 289.2¢. It is the difference between the 11th and 13th harmonics. While the 11th harmonic ([[11_8|11/8]], about 551.3¢) and the 13th harmonic ([[13_8|13/8]], about 840.5¢) are both quite xenharmonic and demand new interval categories, 13/11 sounds like some kind of low minor third. It can even function as such in a relatively consonant 13-limit minor triad which goes 22:26:33, with a [[3_2|3/2]] perfect fifth between 33 and 22. Compare this to 22:26:32 (11:13:16), which has the much more dissonant [[16_11|16/11]] in place of 3/2. The latter triad sounds more like a very xenharmonic version of a diminished triad, and could not be confused with simpler diminished triads such as 5:6:7.</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 [[13-limit]] [[Just Intonation]], 13/11 is the tridecimal minor third, measuring about 289.2¢. It is the difference between the 11th and 13th harmonics. While the 11th harmonic ([[11_8|11/8]], about 551.3¢) and the 13th harmonic ([[13_8|13/8]], about 840.5¢) are both quite xenharmonic and demand new interval categories, 13/11 sounds like some kind of low minor third. It can even function as such in a relatively consonant 13-limit minor triad which goes 22:26:33, with a [[3_2|3/2]] perfect fifth between 33 and 22. Compare this to 22:26:32 (11:13:16), which has the much more dissonant [[16_11|16/11]] in place of 3/2. The latter triad sounds more like a very xenharmonic version of a diminished triad, and could not be confused with simpler diminished triads such as 5:6:7. | ||
See: [[Gallery of Just Intonation 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>13_11</title></head><body>In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 13/11 is the tridecimal minor third, measuring about 289.2¢. It is the difference between the 11th and 13th harmonics. While the 11th harmonic (<a class="wiki_link" href="/11_8">11/8</a>, about 551.3¢) and the 13th harmonic (<a class="wiki_link" href="/13_8">13/8</a>, about 840.5¢) are both quite xenharmonic and demand new interval categories, 13/11 sounds like some kind of low minor third. It can even function as such in a relatively consonant 13-limit minor triad which goes 22:26:33, with a <a class="wiki_link" href="/3_2">3/2</a> perfect fifth between 33 and 22. Compare this to 22:26:32 (11:13:16), which has the much more dissonant <a class="wiki_link" href="/16_11">16/11</a> in place of 3/2. The latter triad sounds more like a very xenharmonic version of a diminished triad, and could not be confused with simpler diminished triads such as 5:6:7.</body></html></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"><html><head><title>13_11</title></head><body>In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 13/11 is the tridecimal minor third, measuring about 289.2¢. It is the difference between the 11th and 13th harmonics. While the 11th harmonic (<a class="wiki_link" href="/11_8">11/8</a>, about 551.3¢) and the 13th harmonic (<a class="wiki_link" href="/13_8">13/8</a>, about 840.5¢) are both quite xenharmonic and demand new interval categories, 13/11 sounds like some kind of low minor third. It can even function as such in a relatively consonant 13-limit minor triad which goes 22:26:33, with a <a class="wiki_link" href="/3_2">3/2</a> perfect fifth between 33 and 22. Compare this to 22:26:32 (11:13:16), which has the much more dissonant <a class="wiki_link" href="/16_11">16/11</a> in place of 3/2. The latter triad sounds more like a very xenharmonic version of a diminished triad, and could not be confused with simpler diminished triads such as 5:6:7.<br /> | ||
<br /> | |||
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intonation%20Intervals">Gallery of Just Intonation Intervals</a></body></html></pre></div> | |||
Revision as of 20:07, 28 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 2011-09-28 20:07:03 UTC.
- The original revision id was 259388380.
- 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 [[13-limit]] [[Just Intonation]], 13/11 is the tridecimal minor third, measuring about 289.2¢. It is the difference between the 11th and 13th harmonics. While the 11th harmonic ([[11_8|11/8]], about 551.3¢) and the 13th harmonic ([[13_8|13/8]], about 840.5¢) are both quite xenharmonic and demand new interval categories, 13/11 sounds like some kind of low minor third. It can even function as such in a relatively consonant 13-limit minor triad which goes 22:26:33, with a [[3_2|3/2]] perfect fifth between 33 and 22. Compare this to 22:26:32 (11:13:16), which has the much more dissonant [[16_11|16/11]] in place of 3/2. The latter triad sounds more like a very xenharmonic version of a diminished triad, and could not be confused with simpler diminished triads such as 5:6:7. See: [[Gallery of Just Intonation Intervals]]
Original HTML content:
<html><head><title>13_11</title></head><body>In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 13/11 is the tridecimal minor third, measuring about 289.2¢. It is the difference between the 11th and 13th harmonics. While the 11th harmonic (<a class="wiki_link" href="/11_8">11/8</a>, about 551.3¢) and the 13th harmonic (<a class="wiki_link" href="/13_8">13/8</a>, about 840.5¢) are both quite xenharmonic and demand new interval categories, 13/11 sounds like some kind of low minor third. It can even function as such in a relatively consonant 13-limit minor triad which goes 22:26:33, with a <a class="wiki_link" href="/3_2">3/2</a> perfect fifth between 33 and 22. Compare this to 22:26:32 (11:13:16), which has the much more dissonant <a class="wiki_link" href="/16_11">16/11</a> in place of 3/2. The latter triad sounds more like a very xenharmonic version of a diminished triad, and could not be confused with simpler diminished triads such as 5:6:7.<br /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intonation%20Intervals">Gallery of Just Intonation Intervals</a></body></html>