Unnoticeable comma: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 597264646 - Original comment: ** |
Wikispaces>kai.lugheidh **Imported revision 599833180 - 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:kai.lugheidh|kai.lugheidh]] and made on <tt>2016-11-19 01:31:54 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>599833180</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">=List of commas, by prime limit= | <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">=Summary= | ||
These commas are called "unnoticeable" because, being equal to or less than 3.5 cents, they are smaller than the peak estimated JND (just-noticeable difference) of human pitch perception, as illustrated by the research of <range type="comment" id="597264646_1">[[Aaron Andrew Hunt]].</range id="597264646_1"> It is improbable that even a trained listener would be able to notice these intervals, and as such they a prime target for psychoacoustically informed [[Microtempering|microtempering]]. | |||
=List of commas, by prime limit= | |||
==3-limit commas== | ==3-limit commas== | ||
||~ <span style="display: block; text-align: center;">name(s)</span> ||~ <span style="display: block; text-align: center;">monzo</span> ||~ <span style="display: block; text-align: center;">cents</span> || | ||~ <span style="display: block; text-align: center;">name(s)</span> ||~ <span style="display: block; text-align: center;">monzo</span> ||~ <span style="display: block; text-align: center;">cents</span> || | ||
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||~ name(s) ||~ ratio ||~ monzo ||~ cents || | ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | ||
|| xenisma || 2058 / 2057 || | 1 1 0 3 -2 0 -1 > || 0.841 || | || xenisma || 2058 / 2057 || | 1 1 0 3 -2 0 -1 > || 0.841 || | ||
|| | || flashma || 12376 / 12375 || | 3 -2 -3 1 -1 1 1 > || 0.140 || | ||
|| | || sparkisma || 14400 / 14399 || | 6 2 2 -1 -2 0 -1 > || 0.120 || | ||
|| scintillisma || || | -4 4 -1 4 -1 -1 -1 > || 0.009 || | || scintillisma || || | -4 4 -1 4 -1 -1 -1 > || 0.009 || | ||
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|| 19-limit decimill || || | 9 -3 -3 -2 0 0 1 1> || 0.010 ||</pre></div> | || 19-limit decimill || || | 9 -3 -3 -2 0 0 1 1> || 0.010 ||</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>Unnoticeable commas</title></head><body><!-- ws:start:WikiTextHeadingRule: | <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>Unnoticeable commas</title></head><body><!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="Summary"></a><!-- ws:end:WikiTextHeadingRule:2 -->Summary</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | These commas are called &quot;unnoticeable&quot; because, being equal to or less than 3.5 cents, they are smaller than the peak estimated JND (just-noticeable difference) of human pitch perception, as illustrated by the research of <a name="comment-597264646_1-open" class="range"></a><a class="wiki_link" href="/Aaron%20Andrew%20Hunt">Aaron Andrew Hunt</a>.<a name="comment-597264646_1-close" class="range"></a> It is improbable that even a trained listener would be able to notice these intervals, and as such they a prime target for psychoacoustically informed <a class="wiki_link" href="/Microtempering">microtempering</a>.<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc1"><a name="List of commas, by prime limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->List of commas, by prime limit</h1> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc2"><a name="List of commas, by prime limit-3-limit commas"></a><!-- ws:end:WikiTextHeadingRule:6 -->3-limit commas</h2> | |||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc3"><a name="List of commas, by prime limit-5-limit commas"></a><!-- ws:end:WikiTextHeadingRule:8 -->5-limit commas</h2> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc4"><a name="List of commas, by prime limit-7-limit commas"></a><!-- ws:end:WikiTextHeadingRule:10 -->7-limit commas</h2> | ||
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</table> | </table> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc5"><a name="List of commas, by prime limit-11-limit commas"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-limit commas</h2> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc6"><a name="List of commas, by prime limit-13-limit commas"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit commas</h2> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc7"><a name="List of commas, by prime limit-17-limit commas"></a><!-- ws:end:WikiTextHeadingRule:16 -->17-limit commas</h2> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td>flashma<br /> | ||
</td> | </td> | ||
<td>12376 / 12375<br /> | <td>12376 / 12375<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td>sparkisma<br /> | ||
</td> | </td> | ||
<td>14400 / 14399<br /> | <td>14400 / 14399<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc8"><a name="List of commas, by prime limit-19-limit commas"></a><!-- ws:end:WikiTextHeadingRule:18 -->19-limit commas</h2> | ||