56/55: Difference between revisions

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**Imported revision 602800346 - 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 = undecimal tritonic comma, konbini comma
: This revision was by author [[User:bootmii|bootmii]] and made on <tt>2016-12-25 00:21:37 UTC</tt>.<br>
| Color name = 1uzg2, luzogu 2nd,<br>Luzogu comma
: The original revision id was <tt>602800346</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>
'''56/55''', the '''undecimal tritonic comma''' or '''konbini comma''', is an [[11-limit]] no-threes comma of about 31.2[[cent|&cent;]].  It is the difference between [[7/5]] and [[11/8]], between [[7/4]] and [[55/32]], and between [[5/4]] and [[14/11]]. When used as an interval in its own right, 56/55 acts as a sort of small quartertone.
<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">56/55 is a comma, and is the difference between [[7_5|7/5]] and [[11_8|11/8]].</pre></div>
== See also ==
<h4>Original HTML content:</h4>
* [[Medium comma]]
<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;56_55&lt;/title&gt;&lt;/head&gt;&lt;body&gt;56/55 is a comma, and is the difference between &lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt; and &lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[List of superparticular intervals]]
 
[[Category:Commas with unknown etymology]]

Latest revision as of 23:27, 22 August 2025

Interval information
Ratio 56/55
Factorization 23 × 5-1 × 7 × 11-1
Monzo [3 0 -1 1 -1⟩
Size in cents 31.19425¢
Names undecimal tritonic comma,
konbini comma
Color name 1uzg2, luzogu 2nd,
Luzogu comma
FJS name [math]\displaystyle{ \text{m2}^{7}_{5,11} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 11.5887
Weil height (log2 max(n, d)) 11.6147
Wilson height (sopfr(nd)) 29
Comma size medium
S-expression S12 × S13 × S14
Open this interval in xen-calc

56/55, the undecimal tritonic comma or konbini comma, is an 11-limit no-threes comma of about 31.2¢. It is the difference between 7/5 and 11/8, between 7/4 and 55/32, and between 5/4 and 14/11. When used as an interval in its own right, 56/55 acts as a sort of small quartertone.

See also

Retrieved from "https://en.xen.wiki/index.php?title=56/55&oldid=208060"