64/49: Difference between revisions

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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 = supersupermajor third, septatonic ultramajor third, octave-reduced 49th subharmonic
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-12 22:45:08 UTC</tt>.<br>
| Color name = rr3, ruru 3rd
: The original revision id was <tt>301087640</tt>.<br>
| Sound = Ji-64-49-csound-foscil-220hz.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>
 
<h4>Original Wikitext content:</h4>
'''64/49''', the '''supersupermajor third''', '''septatonic ultramajor third''' or '''octave-reduced 49th subharmonic''', is equal to two supermajor seconds of [[8/7]], and is the interval between [[21/16]] and [[12/7]]. It is [[1029/1024]] flat of [[21/16]], and tempering out 1029/1024 leads to [[slendric]] temperament, where three supermajor seconds make up a fifth.
<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 septatonic major third, 64/49, is composed of two supermajor seconds of [[8_7|8/7]], and is the interval between [[21_16|21/16]] and [[12_7|12/7]]. it is 1029/1024 flat of [[21_16|21/16]], and tempering out 1029/1024 leads to [[slendric]] temperament, where three supermajor seconds make up a fifth.</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;64_49&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The septatonic major third, 64/49, is composed of two supermajor seconds of &lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt;, and is the interval between &lt;a class="wiki_link" href="/21_16"&gt;21/16&lt;/a&gt; and &lt;a class="wiki_link" href="/12_7"&gt;12/7&lt;/a&gt;. it is 1029/1024 flat of &lt;a class="wiki_link" href="/21_16"&gt;21/16&lt;/a&gt;, and tempering  out 1029/1024 leads to &lt;a class="wiki_link" href="/slendric"&gt;slendric&lt;/a&gt; temperament, where three supermajor seconds make up a fifth.&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[49/32]] – its octave complement
* [[147/128]] - its fifth complement
* [[Gallery of just intervals]]
* [[:File:jid_64_49_pluck_adu_dr220.mp3]] – another sound example
 
[[Category:Subfourth]]
[[Category:Fourth]]
[[Category:Supermajor third]]
[[Category:Third]]
[[Category:Interseptimal intervals]]
[[Category:Naiadic]]

Latest revision as of 18:43, 31 January 2024

Interval information
Ratio 64/49
Factorization 26 × 7-2
Monzo [6 0 0 -2
Size in cents 462.3482¢
Names supersupermajor third,
septatonic ultramajor third,
octave-reduced 49th subharmonic
Color name rr3, ruru 3rd
FJS name [math]\displaystyle{ \text{M3}_{7,7} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 11.6147
Weil norm (log2 max(n, d)) 12
Wilson norm (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

64/49, the supersupermajor third, septatonic ultramajor third or octave-reduced 49th subharmonic, is equal to two supermajor seconds of 8/7, and is the interval between 21/16 and 12/7. It is 1029/1024 flat of 21/16, and tempering out 1029/1024 leads to slendric temperament, where three supermajor seconds make up a fifth.

See also