61/32: 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 = octave-reduced 61st harmonic
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 22:11:25 UTC</tt>.<br>
| Color name = 61o7, siwo seventh
: The original revision id was <tt>513282170</tt>.<br>
| Sound = Ji-61-32-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>
'''61/32''', the [[Octave reduction|octave-reduced]] 61st [[harmonic]]. It is sharp of the [[243/128|Pythagorean major seventh (243/128)]] by [[244/243]]. Being the octave complement of the harry minor semitone [[64/61]], it can also be used as a generator for [[harry]] and [[tritikleismic]].
<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">**61/32**
= 2&lt;span style="font-size: 80%; vertical-align: super;"&gt;-5&lt;/span&gt; * 61
1116.8848 cents
[[media type="file" key="jid_61_32_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_61_32_pluck_adu_dr220.mp3|sound sample]]


61/32, the octave reduction of the 61st harmonic, is the octave complement of the harry minor semitone [[64_61|64/61]], and so can also be used as a generator for [[harry]] and [[tritikleismic]].</pre></div>
In addition, the convergent chain of edos of representing it is {{EDOs| 14, 29, 101, 130, 231 }}. These are notable tuning systems in their own way, and they can be used to introduce 61-limit harmony into lower-limit music.
<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;61_32&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;61/32&lt;/strong&gt;&lt;br /&gt;
== See also ==
= 2&lt;span style="font-size: 80%; vertical-align: super;"&gt;-5&lt;/span&gt; * 61&lt;br /&gt;
* [[64/61]] – its [[octave complement]]
1116.8848 cents&lt;br /&gt;
* [[:File:jid_61_32_pluck_adu_dr220.mp3]] - another sound example
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_61_32_pluck_adu_dr220.mp3?h=20&amp;amp;w=240&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;jid_61_32_pluck_adu_dr220.mp3&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;20&amp;quot; width=&amp;quot;240&amp;quot;/&amp;gt; --&gt;&lt;embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_61_32_pluck_adu_dr220.mp3?file_extension=mp3&amp;autostart=false&amp;repeat=false&amp;showdigits=true&amp;showfsbutton=false&amp;width=240&amp;height=20"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt; &lt;a href="http://xenharmonic.wikispaces.com/file/view/jid_61_32_pluck_adu_dr220.mp3/513250366/jid_61_32_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_61_32_pluck_adu_dr220.mp3/513250366/jid_61_32_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
* [[Gallery of just intervals]]
&lt;br /&gt;
 
61/32, the octave reduction of the 61st harmonic, is the octave complement of the harry minor semitone &lt;a class="wiki_link" href="/64_61"&gt;64/61&lt;/a&gt;, and so can also be used as a generator for &lt;a class="wiki_link" href="/harry"&gt;harry&lt;/a&gt; and &lt;a class="wiki_link" href="/tritikleismic"&gt;tritikleismic&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Seventh]]
[[Category:Major seventh]]

Latest revision as of 10:02, 7 December 2024

Interval information
Ratio 61/32
Subgroup monzo 2.61 [-5 1
Size in cents 1116.885¢
Name octave-reduced 61st harmonic
Color name 61o7, siwo seventh
FJS name [math]\displaystyle{ \text{M7}^{61} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 10.9307
Weil height (log2 max(n, d)) 11.8615
Wilson height (sopfr(nd)) 71

[sound info]
Open this interval in xen-calc

61/32, the octave-reduced 61st harmonic. It is sharp of the Pythagorean major seventh (243/128) by 244/243. Being the octave complement of the harry minor semitone 64/61, it can also be used as a generator for harry and tritikleismic.

In addition, the convergent chain of edos of representing it is 14, 29, 101, 130, 231. These are notable tuning systems in their own way, and they can be used to introduce 61-limit harmony into lower-limit music.

See also