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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 = 67108864/66430125 |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-07 16:09:49 UTC</tt>.<br>
| | | Name = misty comma |
| : The original revision id was <tt>251684638</tt>.<br>
| | |Color name = ssg<sup>3</sup>3, sasatrigu 3rd,<br>Sasatrigu 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>
| | The '''misty comma''', '''67108864/66430125''' = {{monzo| 26 -12 -3 }}, is a [[small comma]] of 17.599 cents. It is the amount by which a stack of three [[512/405|ptolemaic diminished fourths (512/405)]] exceed the [[octave]]. It can be written as ([[81/80]])/([[32805/32768]])<sup>2</sup>, ([[2048/2025]])/([[32805/32768]]), ([[128/125]])/([[531441/524288]]). Since these are commas of [[12edo]], so is the misty comma. It factors into simpler commas as ([[393216/390625]])([[1600000/1594323]]). However, the [[misty]] temperament, the 5-limit temperament tempering out the misty comma, is much more accurate than 12 equal can provide, and is also a comma of [[87edo]] and [[99edo]]. This temperament is notably in the [[schismic–Pythagorean equivalence continuum]], with ''n'' = 3. |
| <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">67108864/66430125 = |26 -12 -3>, the misty comma of 17.599 cents, can be written as (81/80)/(32805/32768)^2, (2048/2025)/(32805/32768) and 393216/390625 * 1600000/1594323. Since these are commas of 12et, so is the misty comma. However, [[Misty family|misty temperament]], the 5-limit temperament tempering out the misty comma, is much more accurate than 12 equal can provide, and is also a comma of [[87edo]] and [[99edo]].</pre></div>
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| <h4>Original HTML content:</h4>
| | == Etymology == |
| <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>misty comma</title></head><body>67108864/66430125 = |26 -12 -3&gt;, the misty comma of 17.599 cents, can be written as (81/80)/(32805/32768)^2, (2048/2025)/(32805/32768) and 393216/390625 * 1600000/1594323. Since these are commas of 12et, so is the misty comma. However, <a class="wiki_link" href="/Misty%20family">misty temperament</a>, the 5-limit temperament tempering out the misty comma, is much more accurate than 12 equal can provide, and is also a comma of <a class="wiki_link" href="/87edo">87edo</a> and <a class="wiki_link" href="/99edo">99edo</a>.</body></html></pre></div>
| | The misty comma seems to have been named by [[Paul Erlich]] in 2002, referring to the fact that [[Carl Lumma]] "missed" this comma in a 5-limit comma search<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>. |
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| | == Notes == |
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| | [[Category:Misty]] |
| | [[Category:Commas named following events]] |