7/1: Difference between revisions

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**Imported revision 513249214 - 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 = 7th harmonic, septuple
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 14:02:00 UTC</tt>.<br>
| Color name = ccz7, cocozo 7th
: The original revision id was <tt>513249214</tt>.<br>
| Sound = jid_7_1_pluck_adu_dr110.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>
'''7/1''', the '''7th harmonic''' or '''septuple''', is the [[harmonic]] past [[6/1]] and before [[8/1]]. It is two [[octave]]s above [[7/4]], and is the basis of [[7-limit]] harmony, as many 7-limit intervals can be expressed as the difference between this and another harmonic.
<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">**7/1**
|0 0 0 1&gt;
3368.8259 cents
[[media type="file" key="jid_7_1_pluck_adu_dr110.mp3"]] [[file:xenharmonic/jid_7_1_pluck_adu_dr110.mp3|sound sample]]


The 7th harmonic; two octaves above [[7_4|7/4]].</pre></div>
== See also ==
<h4>Original HTML content:</h4>
* [[Gallery of just intervals]]
<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;7_1&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;7/1&lt;/strong&gt;&lt;br /&gt;
* [[Ed7]] – equal division of the 7th harmonic
|0 0 0 1&amp;gt;&lt;br /&gt;
3368.8259 cents&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_7_1_pluck_adu_dr110.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_7_1_pluck_adu_dr110.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_7_1_pluck_adu_dr110.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_7_1_pluck_adu_dr110.mp3/513246120/jid_7_1_pluck_adu_dr110.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_7_1_pluck_adu_dr110.mp3/513246120/jid_7_1_pluck_adu_dr110.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
The 7th harmonic; two octaves above &lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 10:49, 2 April 2025

Interval information
Ratio 7/1
Factorization 7
Monzo [0 0 0 1
Size in cents 3368.826¢
Names 7th harmonic,
septuple
Color name ccz7, cocozo 7th
FJS name [math]\displaystyle{ \text{m21}^{7} }[/math]
Special properties harmonic,
prime harmonic
Tenney height (log2 nd) 2.80735
Weil height (log2 max(n, d)) 5.61471
Wilson height (sopfr(nd)) 7

[sound info]
Open this interval in xen-calc

7/1, the 7th harmonic or septuple, is the harmonic past 6/1 and before 8/1. It is two octaves above 7/4, and is the basis of 7-limit harmony, as many 7-limit intervals can be expressed as the difference between this and another harmonic.

See also