Unnoticeable comma: Difference between revisions
Wikispaces>xenwolf **Imported revision 599945348 - Original comment: added a reference (for example)** |
Wikispaces>kai.lugheidh **Imported revision 600045648 - 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>2016-11-21 19:30:25 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>600045648</tt>.<br> | ||
: The revision comment was: <tt> | : 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">=Summary= | <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 | These commas are called "unnoticeable" because, being equal to or less than 3.5 cents, they are smaller than the average peak [[http://musictheory.zentral.zone/huntsystem2.html#2|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= | =List of commas, by prime limit= | ||
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||~ name(s) ||~ ratio ||~ monzo ||~ cents || | ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | ||
|| Hunt 19-minor mediant comma || 513 / 512 || | -9 3 0 0 0 0 0 1 > || 3.378 || | || Hunt 19-minor mediant comma || 513 / 512 || | -9 3 0 0 0 0 0 1 > || 3.378 || | ||
|| password || 1216 / 1215 || | 6 -5 -1 0 0 0 0 1> || 1.424 || | |||
|| Blumeyer comma || 2432 / 2431 || | 7 0 0 0 -1 -1 -1 1 > || 0.712 || | || Blumeyer comma || 2432 / 2431 || | 7 0 0 0 -1 -1 -1 1 > || 0.712 || | ||
|| 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:2:&lt;h1&gt; --><h1 id="toc0"><a name="Summary"></a><!-- ws:end:WikiTextHeadingRule:2 -->Summary</h1> | <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> | ||
These commas are called &quot;unnoticeable&quot; because, being equal to or less than 3.5 cents, they are smaller than the peak | These commas are called &quot;unnoticeable&quot; because, being equal to or less than 3.5 cents, they are smaller than the average peak <a class="wiki_link_ext" href="http://musictheory.zentral.zone/huntsystem2.html#2" rel="nofollow">JND</a> (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 /> | <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: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> | ||
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</td> | </td> | ||
<td>3.378<br /> | <td>3.378<br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<td>password<br /> | |||
</td> | |||
<td>1216 / 1215<br /> | |||
</td> | |||
<td>| 6 -5 -1 0 0 0 0 1&gt;<br /> | |||
</td> | |||
<td>1.424<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||