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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox Interval |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | Ratio = 59049/57344 |
| : This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2016-02-19 20:05:49 UTC</tt>.<br>
| | | Name = Harrison's comma |
| : The original revision id was <tt>575327213</tt>.<br>
| | | Color name = Lr-2, Laru comma |
| : The revision comment was: <tt></tt><br>
| | | Comma = yes |
| 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>
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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;white-space: pre-wrap ! important" class="old-revision-html">59049/57344, or Harrison's comma, is the amount by which ten 3/2s exceed 7/4 <span style="line-height: 1.5;">(all octave-reduced). In other words, (3/2)^10 = 7 * 59049/57344. It is tempered out in </span><span style="line-height: 1.5;">[[Meantone family|septimal meantone]]</span>, where ten generators is mapped to 7/4<span style="line-height: 1.5;">. </span>
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| <span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 25px; width: 1px;">
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| || 59049/57344 || | |
| </span></pre></div>
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| <h4>Original HTML content:</h4>
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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>59049_57344</title></head><body>59049/57344, or Harrison's comma, is the amount by which ten 3/2s exceed 7/4 <span style="line-height: 1.5;">(all octave-reduced). In other words, (3/2)^10 = 7 * 59049/57344. It is tempered out in </span><span style="line-height: 1.5;"><a class="wiki_link" href="/Meantone%20family">septimal meantone</a></span>, where ten generators is mapped to 7/4<span style="line-height: 1.5;">. </span><br />
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| <span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 25px; width: 1px;"><br />
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| | '''59049/57344''', or '''Harrison's comma''', is the amount by which ten [[3/2]]'s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It factors into simpler [[comma]]s as ([[81/80]])<sup>2</sup>([[225/224]]), that is, two syntonic commas and a marvel comma. |
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| <table class="wiki_table">
| | Tempering out this comma will map the 7/4 to the augmented sixth (e.g. C-A♯), and the only notable 7-limit temperament that does that is [[septimal meantone]]. |
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| <td>59049/57344<br />
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| </tr>
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| </table>
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| </span></body></html></pre></div>
| | [[Category:Quartertone]] |
| | [[Category:Meantone]] |
| | [[Category:Commas named after individuals]] |
| | {{todo|add etymology|comment=Who was Harrison?}} |