17edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 234382376 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 239497321 - 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:xenwolf|xenwolf]] and made on <tt>2011-06-30 10:23:12 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>239497321</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">=<span style="color: #1300ff; font-size: 103%;">[[media type="custom" key="9458070"]]17 tone equal temperament</span>= | <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">=<span style="color: #1300ff; font-size: 103%;">[[media type="custom" key="9458070"]]17 tone equal temperament</span>= | ||
17 edo divides the octave in 17 equal steps, each 70.588 cent in size. | 17 edo divides the octave in 17 equal steps, each 70.588 [[cent]] in size. | ||
==Theory== | ==Theory== | ||
An introduction to 17-EDO theory, through the eyes of the [[SeventeenTonePianoProject]]: [[SeventeenTheory]]. | An introduction to 17-EDO theory, through the eyes of the [[SeventeenTonePianoProject]]: [[SeventeenTheory]]. | ||
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==Commas== | ==Commas== | ||
17 EDO tempers out the following | 17 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes [[val]] < 17 27 39 48 59 63 |, cent values rounded to 5 digits.) | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||
||= 32805/32768 ||< | -15 8 1 > ||> 1.9537 ||= Schisma ||= ||= || | ||= 32805/32768 ||< | -15 8 1 > ||> 1.9537 ||= Schisma ||= ||= || | ||
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<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>17edo</title></head><body><!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="x17 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:1 --><span style="color: #1300ff; font-size: 103%;"><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/9458070?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;9458070&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://webplayer.yahooapis.com/player.js"> | <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>17edo</title></head><body><!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="x17 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:1 --><span style="color: #1300ff; font-size: 103%;"><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/9458070?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;9458070&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://webplayer.yahooapis.com/player.js"> | ||
</script><!-- ws:end:WikiTextMediaRule:0 -->17 tone equal temperament</span></h1> | </script><!-- ws:end:WikiTextMediaRule:0 -->17 tone equal temperament</span></h1> | ||
17 edo divides the octave in 17 equal steps, each 70.588 cent in size.<br /> | 17 edo divides the octave in 17 equal steps, each 70.588 <a class="wiki_link" href="/cent">cent</a> in size.<br /> | ||
<!-- ws:start:WikiTextHeadingRule:3:&lt;h2&gt; --><h2 id="toc1"><a name="x17 tone equal temperament-Theory"></a><!-- ws:end:WikiTextHeadingRule:3 -->Theory</h2> | <!-- ws:start:WikiTextHeadingRule:3:&lt;h2&gt; --><h2 id="toc1"><a name="x17 tone equal temperament-Theory"></a><!-- ws:end:WikiTextHeadingRule:3 -->Theory</h2> | ||
An introduction to 17-EDO theory, through the eyes of the <a class="wiki_link" href="/SeventeenTonePianoProject">SeventeenTonePianoProject</a>: <a class="wiki_link" href="/SeventeenTheory">SeventeenTheory</a>.<br /> | An introduction to 17-EDO theory, through the eyes of the <a class="wiki_link" href="/SeventeenTonePianoProject">SeventeenTonePianoProject</a>: <a class="wiki_link" href="/SeventeenTheory">SeventeenTheory</a>.<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:5:&lt;h2&gt; --><h2 id="toc2"><a name="x17 tone equal temperament-Commas"></a><!-- ws:end:WikiTextHeadingRule:5 -->Commas</h2> | <!-- ws:start:WikiTextHeadingRule:5:&lt;h2&gt; --><h2 id="toc2"><a name="x17 tone equal temperament-Commas"></a><!-- ws:end:WikiTextHeadingRule:5 -->Commas</h2> | ||
17 EDO tempers out the following | 17 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes <a class="wiki_link" href="/val">val</a> &lt; 17 27 39 48 59 63 |, cent values rounded to 5 digits.)<br /> | ||