Harmonic limit: Difference between revisions
Wikispaces>k9assassin **Imported revision 536048138 - Original comment: ** |
Wikispaces>hstraub **Imported revision 536218044 - 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: | : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2015-01-05 03:09:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>536218044</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> | ||
| Line 14: | Line 14: | ||
* [[5-limit]] contains [[5_4|5/4]], the just major third | * [[5-limit]] contains [[5_4|5/4]], the just major third | ||
* [[7-limit]] contains [[7_4|7/4]], the harmonic seventh | * [[7-limit]] contains [[7_4|7/4]], the harmonic seventh | ||
* [[11-limit]] | * [[11-limit]] contains [[11_8|11/8]], the Alphorn-Fa | ||
* [[13-limit]] | * [[13-limit]] | ||
* [[17-limit]] | * [[17-limit]] | ||
| Line 32: | Line 32: | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-List of small p-limits"></a><!-- ws:end:WikiTextHeadingRule:0 -->List of small p-limits</h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-List of small p-limits"></a><!-- ws:end:WikiTextHeadingRule:0 -->List of small p-limits</h2> | ||
With increasing limits, the tonal space becomes more dense.<br /> | With increasing limits, the tonal space becomes more dense.<br /> | ||
<ul><li><a class="wiki_link" href="/2-limit">2-limit</a> contains only multiples of the <a class="wiki_link" href="/octave">octave</a> (2/1), see <a class="wiki_link" href="/1edo">1edo</a></li><li><a class="wiki_link" href="/3-limit">3-limit</a> contains <a class="wiki_link" href="/3_2">3/2</a>, the <a class="wiki_link" href="/just%20perfect%20fifth">just perfect fifth</a></li><li><a class="wiki_link" href="/5-limit">5-limit</a> contains <a class="wiki_link" href="/5_4">5/4</a>, the just major third</li><li><a class="wiki_link" href="/7-limit">7-limit</a> contains <a class="wiki_link" href="/7_4">7/4</a>, the harmonic seventh</li><li><a class="wiki_link" href="/11-limit">11-limit</a></li><li><a class="wiki_link" href="/13-limit">13-limit</a></li><li><a class="wiki_link" href="/17-limit">17-limit</a></li><li><a class="wiki_link" href="/19-limit">19-limit</a></li><li><a class="wiki_link" href="/23-limit">23-limit</a></li><li><a class="wiki_link" href="/47-limit">47-limit</a></li></ul><br /> | <ul><li><a class="wiki_link" href="/2-limit">2-limit</a> contains only multiples of the <a class="wiki_link" href="/octave">octave</a> (2/1), see <a class="wiki_link" href="/1edo">1edo</a></li><li><a class="wiki_link" href="/3-limit">3-limit</a> contains <a class="wiki_link" href="/3_2">3/2</a>, the <a class="wiki_link" href="/just%20perfect%20fifth">just perfect fifth</a></li><li><a class="wiki_link" href="/5-limit">5-limit</a> contains <a class="wiki_link" href="/5_4">5/4</a>, the just major third</li><li><a class="wiki_link" href="/7-limit">7-limit</a> contains <a class="wiki_link" href="/7_4">7/4</a>, the harmonic seventh</li><li><a class="wiki_link" href="/11-limit">11-limit</a> contains <a class="wiki_link" href="/11_8">11/8</a>, the Alphorn-Fa</li><li><a class="wiki_link" href="/13-limit">13-limit</a></li><li><a class="wiki_link" href="/17-limit">17-limit</a></li><li><a class="wiki_link" href="/19-limit">19-limit</a></li><li><a class="wiki_link" href="/23-limit">23-limit</a></li><li><a class="wiki_link" href="/47-limit">47-limit</a></li></ul><br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-See also"></a><!-- ws:end:WikiTextHeadingRule:2 -->See also</h2> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-See also"></a><!-- ws:end:WikiTextHeadingRule:2 -->See also</h2> | ||
<ul><li><a class="wiki_link" href="/Odd%20limit">Odd limit</a></li><li><a class="wiki_link" href="/Harmonic%20Class%20%28HC%29">Harmonic Class (HC)</a></li><li><a class="wiki_link" href="/consistency">consistency</a></li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Limit_%28music%29" rel="nofollow">Limit (music) - Wikipedia</a> (covers also the distinction between odd-limit and prime-limit)</li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/St%C3%B8rmer%27s_theorem" rel="nofollow">Størmer's theorem - Wikipedia</a></li></ul></body></html></pre></div> | <ul><li><a class="wiki_link" href="/Odd%20limit">Odd limit</a></li><li><a class="wiki_link" href="/Harmonic%20Class%20%28HC%29">Harmonic Class (HC)</a></li><li><a class="wiki_link" href="/consistency">consistency</a></li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Limit_%28music%29" rel="nofollow">Limit (music) - Wikipedia</a> (covers also the distinction between odd-limit and prime-limit)</li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/St%C3%B8rmer%27s_theorem" rel="nofollow">Størmer's theorem - Wikipedia</a></li></ul></body></html></pre></div> | ||