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Porcupine: Difference between revisions

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**Imported revision 318608956 - Original comment: **
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**Imported revision 318837982 - 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:guest|guest]] and made on <tt>2012-04-08 21:16:51 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2012-04-09 15:19:00 UTC</tt>.<br>
: The original revision id was <tt>318608956</tt>.<br>
: The original revision id was <tt>318837982</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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The specific tuning shown is the full 11-limit [[POTE tuning]], but of course there is a range of acceptible porcupine tunings that includes generators as small as 160 cents ([[15edo]]) and as large as 165.5 cents ([[29edo]]).
The specific tuning shown is the full 11-limit [[POTE tuning]], but of course there is a range of acceptible porcupine tunings that includes generators as small as 160 cents ([[15edo]]) and as large as 165.5 cents ([[29edo]]).
12/11, 11/10, and 10/9 are all represented by the same interval, the generator. This makes chords such as 8:9:10:11:12 exceptionally common and easy to find.
12/11, 11/10, and 10/9 are all represented by the same interval, the generator. This makes chords such as 8:9:10:11:12 exceptionally common and easy to find.
The 11/9 interval, usually considered a "neutral third", is in porcupine identical to the 6/5 "minor third". This means that the 27/20 "wolf fifth" of the JI diatonic scale is equivalent to 11/8 (rather than becoming 4/3 as in meantone).
The 11/9 interval, usually considered a "neutral third", is in porcupine identical to the 6/5 "minor third". This means that the 27/20 "wolf fourth" of the JI diatonic scale is equivalent to 11/8 (rather than becoming 4/3 as in meantone).
The characteristic small interval of porcupine, which is 60.75 cents in this tuning but can range from &lt;50 to 80 cents in general, represents both 25/24 and 81/80.
The characteristic small interval of porcupine, which is 60.75 cents in this tuning but can range from &lt;50 to 80 cents in general, represents both 25/24 and 81/80.
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The specific tuning shown is the full 11-limit &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE tuning&lt;/a&gt;, but of course there is a range of acceptible porcupine tunings that includes generators as small as 160 cents (&lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt;) and as large as 165.5 cents (&lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;).&lt;br /&gt;
The specific tuning shown is the full 11-limit &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE tuning&lt;/a&gt;, but of course there is a range of acceptible porcupine tunings that includes generators as small as 160 cents (&lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt;) and as large as 165.5 cents (&lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;).&lt;br /&gt;
12/11, 11/10, and 10/9 are all represented by the same interval, the generator. This makes chords such as 8:9:10:11:12 exceptionally common and easy to find.&lt;br /&gt;
12/11, 11/10, and 10/9 are all represented by the same interval, the generator. This makes chords such as 8:9:10:11:12 exceptionally common and easy to find.&lt;br /&gt;
The 11/9 interval, usually considered a &amp;quot;neutral third&amp;quot;, is in porcupine identical to the 6/5 &amp;quot;minor third&amp;quot;. This means that the 27/20 &amp;quot;wolf fifth&amp;quot; of the JI diatonic scale is equivalent to 11/8 (rather than becoming 4/3 as in meantone).&lt;br /&gt;
The 11/9 interval, usually considered a &amp;quot;neutral third&amp;quot;, is in porcupine identical to the 6/5 &amp;quot;minor third&amp;quot;. This means that the 27/20 &amp;quot;wolf fourth&amp;quot; of the JI diatonic scale is equivalent to 11/8 (rather than becoming 4/3 as in meantone).&lt;br /&gt;
The characteristic small interval of porcupine, which is 60.75 cents in this tuning but can range from &amp;lt;50 to 80 cents in general, represents both 25/24 and 81/80.&lt;br /&gt;
The characteristic small interval of porcupine, which is 60.75 cents in this tuning but can range from &amp;lt;50 to 80 cents in general, represents both 25/24 and 81/80.&lt;br /&gt;
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