243/224: Difference between revisions

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**Imported revision 301416690 - 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 subtone
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-13 18:15:24 UTC</tt>.<br>
| Color name = Lr1, laru unison
: The original revision id was <tt>301416690</tt>.<br>
| Sound = jid_243_224_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>
'''243/224''', the '''septimal subtone''', is [[64/63]] sharp of [[2187/2048]]. In the 13-limit, it is 729/728 (2.4{{cent}}) sharp of [[13/12]]. [[17edo|2\17]] is a good approximation to it. It is also a [[large comma]] equating five fifths ([[3/2]]) with the 7th [[harmonic]].
<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">243/224, the septimal chromatic semitone, is the interval between [[28_27|28/27]] and [[9_8|9/8]], and is about 2\17 of an octave.</pre></div>
 
<h4>Original HTML content:</h4>
== See also ==
<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;243_224&lt;/title&gt;&lt;/head&gt;&lt;body&gt;243/224, the septimal chromatic semitone, is the interval between &lt;a class="wiki_link" href="/28_27"&gt;28/27&lt;/a&gt; and &lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt;, and is about 2\17 of an octave.&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[Gallery of just intervals]]
 
[[Category:Second]]
[[Category:Neutral second]]
[[Category:Semitone]]
[[Category:Chroma]]
[[Category:Commas named after their interval size]]

Latest revision as of 06:21, 3 November 2024

Interval information
Ratio 243/224
Factorization 2-5 × 35 × 7-1
Monzo [-5 5 0 -1
Size in cents 140.9491¢
Name septimal subtone
Color name Lr1, laru unison
FJS name [math]\displaystyle{ \text{A1}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 15.7322
Weil norm (log2 max(n, d)) 15.8496
Wilson norm (sopfr(nd)) 32
Comma size large

[sound info]
Open this interval in xen-calc

243/224, the septimal subtone, is 64/63 sharp of 2187/2048. In the 13-limit, it is 729/728 (2.4 ¢) sharp of 13/12. 2\17 is a good approximation to it. It is also a large comma equating five fifths (3/2) with the 7th harmonic.

See also