Superfourth: Difference between revisions

Wikispaces>Andrew_Heathwaite
**Imported revision 262976924 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 262977970 - 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>2011-10-09 11:52:38 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-10-09 11:59:13 UTC</tt>.<br>
: The original revision id was <tt>262976924</tt>.<br>
: The original revision id was <tt>262977970</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">A "superfourth" is an interval too wide to sound like a [[perfect fourth]] and too narrow to sound like a [[tritone]]. [[Margo Schulter]], in her article [[http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt|Regions of the Interval Spectrum]], proposes an approximate range for a superfourth to be from 528¢ to 560¢. Some of the simplest superfourths in [[Just Intonation]] are [[11_8|11/8]] (about 551.3¢) and [[15_11|15/11]] (about 537¢), both undecimal (11-based) superfourths, and [[48_35|48/35]] (about 546.8¢), a septimal superfourth.
<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">A "superfourth" is an interval too wide to sound like a [[perfect fourth]] and too narrow to sound like a [[tritone]]. [[Margo Schulter]], in her article [[http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt|Regions of the Interval Spectrum]], proposes an approximate range for a superfourth to be from 528¢ to 560¢. Some of the simplest superfourths in [[Just Intonation]] are [[11_8|11/8]] (about 551.3¢) and [[15_11|15/11]] (about 537¢), both undecimal (11-based) superfourths; and [[48_35|48/35]] (about 546.8¢) and [[49_36|49/36]] (about 533.7¢), both septimal (7-based) superfourths.


The inversion of a superfourth is a [[subfifth]].
The inversion of a superfourth is a [[subfifth]].
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|| 34/25 || 532.328 || 17 ||
|| 34/25 || 532.328 || 17 ||
|| 4\[[9edo]] || 533.333 || - ||
|| 4\[[9edo]] || 533.333 || - ||
|| [[49_36|49/36]] || 533.742 || 7 ||
|| 64/47 || 534.493 || 47 ||
|| 64/47 || 534.493 || 47 ||
|| [[15_11|15/11]] || 536.951 || 11 ||
|| [[15_11|15/11]] || 536.951 || 11 ||
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|| 40/29 || 556.737 || 29 ||
|| 40/29 || 556.737 || 29 ||
|| 13\[[28edo]] || 557.143 || - ||
|| 13\[[28edo]] || 557.143 || - ||
|| 243/176 || 558.457 || 11 ||
|| 29/21 || 558.796 || 29 ||
|| 29/21 || 558.796 || 29 ||
|| 47/34 || 560.551 || 47 ||
|| 47/34 || 560.551 || 47 ||
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See: [[Interval Category]], [[Gallery of Just Intervals]]</pre></div>
See: [[Interval Category]], [[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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Superfourth&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &amp;quot;superfourth&amp;quot; is an interval too wide to sound like a &lt;a class="wiki_link" href="/perfect%20fourth"&gt;perfect fourth&lt;/a&gt; and too narrow to sound like a &lt;a class="wiki_link" href="/tritone"&gt;tritone&lt;/a&gt;. &lt;a class="wiki_link" href="/Margo%20Schulter"&gt;Margo Schulter&lt;/a&gt;, in her article &lt;a class="wiki_link_ext" href="http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt" rel="nofollow"&gt;Regions of the Interval Spectrum&lt;/a&gt;, proposes an approximate range for a superfourth to be from 528¢ to 560¢. Some of the simplest superfourths in &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt; are &lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt; (about 551.3¢) and &lt;a class="wiki_link" href="/15_11"&gt;15/11&lt;/a&gt; (about 537¢), both undecimal (11-based) superfourths, and &lt;a class="wiki_link" href="/48_35"&gt;48/35&lt;/a&gt; (about 546.8¢), a septimal superfourth.&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;Superfourth&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &amp;quot;superfourth&amp;quot; is an interval too wide to sound like a &lt;a class="wiki_link" href="/perfect%20fourth"&gt;perfect fourth&lt;/a&gt; and too narrow to sound like a &lt;a class="wiki_link" href="/tritone"&gt;tritone&lt;/a&gt;. &lt;a class="wiki_link" href="/Margo%20Schulter"&gt;Margo Schulter&lt;/a&gt;, in her article &lt;a class="wiki_link_ext" href="http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt" rel="nofollow"&gt;Regions of the Interval Spectrum&lt;/a&gt;, proposes an approximate range for a superfourth to be from 528¢ to 560¢. Some of the simplest superfourths in &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt; are &lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt; (about 551.3¢) and &lt;a class="wiki_link" href="/15_11"&gt;15/11&lt;/a&gt; (about 537¢), both undecimal (11-based) superfourths; and &lt;a class="wiki_link" href="/48_35"&gt;48/35&lt;/a&gt; (about 546.8¢) and &lt;a class="wiki_link" href="/49_36"&gt;49/36&lt;/a&gt; (about 533.7¢), both septimal (7-based) superfourths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The inversion of a superfourth is a &lt;a class="wiki_link" href="/subfifth"&gt;subfifth&lt;/a&gt;.&lt;br /&gt;
The inversion of a superfourth is a &lt;a class="wiki_link" href="/subfifth"&gt;subfifth&lt;/a&gt;.&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;-&lt;br /&gt;
         &lt;td&gt;-&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/49_36"&gt;49/36&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;533.742&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;-&lt;br /&gt;
         &lt;td&gt;-&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;243/176&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;558.457&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;