99/98: Difference between revisions

99/98, or the mothwellsma, is a small 11-limit comma of 17.6 cents 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)²(99/98) and that 7/6 × 99/98 = 33/28, which is the fifth complement of 14/11.

Temperaments

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)^1/2 is befitting of orwell.

Etymology

This comma's name comes from a contraction of mothra and orwell, two of the rank-2 temperaments that temper out the comma.

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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:xenwolf|xenwolf]] and made on <tt>2013-04-15 03:26:04 UTC</tt>.<br>
+| Color name = 1orr-2, loruru negative<br>2nd, Loruru comma
-: The original revision id was <tt>423132200</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, represents the difference in size between the septimal and undecimal supermajor thirds -- that is, between [[9_7|9/7]] and [[14_11|14/11]].</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, represents the difference in size between the septimal and undecimal supermajor thirds -- that is, between &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt; and &lt;a class="wiki_link" href="/14_11"&gt;14/11&lt;/a&gt;.&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]]

99/98: Difference between revisions

Latest revision as of 14:56, 29 April 2025

Temperaments

Etymology

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