27/25: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 248468145 - Original comment: **
 
Sintel (talk | contribs)
remove unnecessary comment about 432Hz and 50hz
 
(17 intermediate revisions by 13 users not shown)
Line 1: Line 1:
<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 = large limma, acute minor second
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-25 14:18:04 UTC</tt>.<br>
| Color name = gg2, gugu 2nd
: The original revision id was <tt>248468145</tt>.<br>
| Sound = jid_27_25_pluck_adu_dr220.mp3
: 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>
 
<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">27/25, called the large limma or acute minor second, has the remarkable property at 133.238 cents of almost exactly equaling a singe step of [[9edo]], a step of which is 133 1/3 cents. Hence nine large limmas fall just short of an octave by the ennealimma (meaning "nine limmas") which is |1 -27 18&gt;, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7_6|subminor third]], since (7/6)/(27/25)^2 = 4375/4374. Turning from microtempering to exotempering, 27/25 can be tempered out, leading to [[Bug family|bug temperament]], rather than the [[Ragismic microtemperaments#Ennealimmal|ennealimmal temperament]] which tempering out both the ennealimma and 4375/4374, the ragisma, leads to.</pre></div>
'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s is a large semitone interval which is a [[81/80|syntonic comma]] above the 5-limit minor second [[16/15]], or 2 syntonic commas above the Pythagorean minor second [[256/243]]. It has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6|subminor third]], since (7/6)/(27/25)<sup>2</sup> = [[4375/4374]]. Tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to the [[Ragismic microtemperaments #Ennealimmal|ennealimmal temperament]]. Ennealimmal is an extremely accurate temperament, while still being of a somewhat manageable complexity. Turning from microtempering to exotempering, 27/25 can be [[tempering out|tempered out]], leading to the [[bug family]] of temperaments.
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;27_25&lt;/title&gt;&lt;/head&gt;&lt;body&gt;27/25, called the large limma or acute minor second, has the remarkable property at 133.238 cents of almost exactly equaling a singe step of &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt;, a step of which is 133 1/3 cents. Hence nine large limmas fall just short of an octave by the ennealimma (meaning &amp;quot;nine limmas&amp;quot;) which is |1 -27 18&amp;gt;, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a &lt;a class="wiki_link" href="/7_6"&gt;subminor third&lt;/a&gt;, since (7/6)/(27/25)^2 = 4375/4374. Turning from microtempering to exotempering, 27/25 can be tempered out, leading to &lt;a class="wiki_link" href="/Bug%20family"&gt;bug temperament&lt;/a&gt;, rather than the &lt;a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal"&gt;ennealimmal temperament&lt;/a&gt; which tempering out both the ennealimma and 4375/4374, the ragisma, leads to.&lt;/body&gt;&lt;/html&gt;</pre></div>
== See also ==
* [[Gallery of just intervals]]
* [[Large comma]]
 
[[Category:Second]]
[[Category:Semitone]]
[[Category:Limma]]
[[Category:9edo]]
[[Category:Bug]]
[[Category:Neutral second]]
[[Category:Supraminor second]]
[[Category:Commas named after their interval size]]