10/1: 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 = 10th harmonic, decade, decuple
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 14:03:39 UTC</tt>.<br>
| Color name = c<sup>3</sup>y3, tricoyo 3rd
: The original revision id was <tt>513249346</tt>.<br>
| Sound = jid_10_1_pluck_adu_dr55.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>
{{Wikipedia| Decade (log scale) }}
<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">**10/1**
|1 0 1&gt;
3986.3137 cents
[[media type="file" key="jid_10_1_pluck_adu_dr55.mp3"]] [[file:xenharmonic/jid_10_1_pluck_adu_dr55.mp3|sound sample]]


The 10th harmonic; three octaves above [[5_4|5/4]].
'''10/1''', the '''10th harmonic''', '''decade''' or '''decuple''' (symbol: '''dec'''), is the [[harmonic]] past [[9/1]] and before [[11/1]]. It is three [[octave]]s above [[5/4]]. As a coarse [[interval size measure]] it sees many applications in audio engineering. In harmony, it can be approached as a stack of [[2/1]] and [[5/1]], making chords like 1–2–10, 1–5–10, or 1–2–5–10.
</pre></div>
 
<h4>Original HTML content:</h4>
It is sometimes known as a ''decave'' or ''decatave''.  
<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;10_1&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;10/1&lt;/strong&gt;&lt;br /&gt;
 
|1 0 1&amp;gt;&lt;br /&gt;
== See also ==
3986.3137 cents&lt;br /&gt;
* [[Gallery of just intervals]]
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_10_1_pluck_adu_dr55.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_10_1_pluck_adu_dr55.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_10_1_pluck_adu_dr55.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_10_1_pluck_adu_dr55.mp3/513246268/jid_10_1_pluck_adu_dr55.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_10_1_pluck_adu_dr55.mp3/513246268/jid_10_1_pluck_adu_dr55.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
* [[Decave]] (disambiguation page)
&lt;br /&gt;
* [[Ed10]]
The 10th harmonic; three octaves above &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
[[Category:Taxicab-2 intervals]]

Latest revision as of 10:59, 2 April 2025

Interval information
Ratio 10/1
Factorization 2 × 5
Monzo [1 0 1
Size in cents 3986.314¢
Names 10th harmonic,
decade,
decuple
Color name c3y3, tricoyo 3rd
FJS name [math]\displaystyle{ \text{M24}^{5} }[/math]
Special properties harmonic
Tenney norm (log2 nd) 3.32193
Weil norm (log2 max(n, d)) 6.64386
Wilson norm (sopfr(nd)) 7

[sound info]
Open this interval in xen-calc
English Wikipedia has an article on:

10/1, the 10th harmonic, decade or decuple (symbol: dec), is the harmonic past 9/1 and before 11/1. It is three octaves above 5/4. As a coarse interval size measure it sees many applications in audio engineering. In harmony, it can be approached as a stack of 2/1 and 5/1, making chords like 1–2–10, 1–5–10, or 1–2–5–10.

It is sometimes known as a decave or decatave.

See also