99/98: Difference between revisions

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**Imported revision 501186304 - Original comment: **
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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>
| Name = mothwellsma
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-04-07 22:47:36 UTC</tt>.<br>
| Color name = 1orr-2, loruru negative<br>2nd, Loruru comma
: The original revision id was <tt>501186304</tt>.<br>
| Comma = yes
: 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>
'''99/98''', or the '''mothwellsma''', is a [[small comma|small]] [[11-limit]] [[comma]] of 17.6 [[cent]]s in size. It represents the difference between the [[9/7]] and [[14/11]] supermajor thirds, or the difference between two [[7/6]] subminor thirds and one [[11/8]] semi-augmented fourth. Note that 11/8 = (7/6)<sup>2</sup>(99/98) and that 7/6 × 99/98 = [[33/28]], which is the fifth complement of 14/11.
<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">**99/98**, or the Mothwellsma (17.576 [[cent]]s in size), represents the difference between [[9_7|9/7]] (septimal supermajor third) and [[14_11|14/11]] (undecimal supermajor third), or the difference between two [[7_6|7/6]]s (septimal subminor thirds) and one [[11_8|11/8]] (undecimal semi-augmented fourth).</pre></div>
== Temperaments ==
<h4>Original HTML content:</h4>
Tempering out this comma alone in the 11-limit leads to the '''mothwellsmic temperament''' (→ [[Catalog of rank-4 temperaments #Mothwellsmic (99/98)]]) and enables [[mothwellsmic chords]]. It is related to 11-limit [[orwell]], as a generator between 7/6 and (11/8)<sup>1/2</sup> is befitting of orwell.
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;99_98&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;99/98&lt;/strong&gt;, or the Mothwellsma (17.576 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s in size), represents the difference between &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt; (septimal supermajor third) and &lt;a class="wiki_link" href="/14_11"&gt;14/11&lt;/a&gt; (undecimal supermajor third), or the difference between two &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;s (septimal subminor thirds) and one &lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt; (undecimal semi-augmented fourth).&lt;/body&gt;&lt;/html&gt;</pre></div>
 
== Etymology ==
This comma's name comes from a contraction of ''mothra'' and ''orwell'', two of the rank-2 temperaments that temper out the comma.
 
== See also ==
* [[99/49]] – the same interval but one octave higher
* [[Gallery of just intervals]]
 
[[Category:Mothwellsmic]]
[[Category:Commas named by combining multiple temperament names]]