28/25: Difference between revisions

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**Imported revision 301034568 - 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 = (septimal) middle major second, (septimal) middle whole tone
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-12 19:26:00 UTC</tt>.<br>
| Color name = zgg3, zogugu 3rd
: The original revision id was <tt>301034568</tt>.<br>
| Sound = jid_28_25_pluck_adu_dr220.mp3
: 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>
'''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099{{cent}}, which is closely approximated by [[55edo]].
<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">The middle second, 28/25, is the interval between [[5_4/5/4]] and [[7_5|7/5]], and is intermediate in size between [[10_9|10/9]], which it is 126/125 sharp of, and [[9_8|9/8]], which it is 225/224 flat of. A meantone where the tone is tuned to be exactly 28/25 has a fifth of size 2 √14/5, or 698.099 cents.</pre></div>
== See also ==
<h4>Original HTML content:</h4>
* [[25/14]] – its [[octave complement]]
<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;28_25&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The middle second, 28/25, is the interval between [[5_4/5/4]] and &lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt;, and is intermediate in size between &lt;a class="wiki_link" href="/10_9"&gt;10/9&lt;/a&gt;, which it is 126/125 sharp of, and &lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt;, which it is 225/224 flat of. A meantone where the tone is tuned to be exactly 28/25 has a fifth of size 2 √14/5, or 698.099 cents.&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[25/21]] – its [[fourth complement]]
* [[29/26]] – a co-mediant interval
* [[Gallery of just intervals]]
* [[25-odd-limit]]
 
[[Category:Second]]
[[Category:Whole tone]]

Latest revision as of 12:38, 9 June 2025

Interval information
Ratio 28/25
Factorization 22 × 5-2 × 7
Monzo [2 0 -2 1⟩
Size in cents 196.1985¢
Names (septimal) middle major second,
(septimal) middle whole tone
Color name zgg3, zogugu 3rd
FJS name [math]\displaystyle{ \text{d3}^{7}_{5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.45121
Weil height (log2 max(n, d)) 9.61471
Wilson height (sopfr(nd)) 21

[sound info]
Open this interval in xen-calc

28/25, the (septimal) middle whole tone, is the interval between 5/4 and 7/5, and is intermediate in size between 10/9, of which it is 126/125 sharp, and 9/8, of which it is 225/224 flat. It's actually the mediant of 19/17 and 9/8. A meantone where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099 ¢, which is closely approximated by 55edo.

See also

Retrieved from "https://en.xen.wiki/index.php?title=28/25&oldid=199020"