55/49: Difference between revisions

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**Imported revision 515320170 - 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 = werckismic tone
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-30 21:46:28 UTC</tt>.<br>
| Color name = 1orry1, loruruyo unison
: The original revision id was <tt>515320170</tt>.<br>
| Sound = jid_55_49_pluck_adu_dr220.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>
<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">**55/49**
|0 0 1 -2 1&gt;
199.9798 cents
[[media type="file" key="jid_55_49_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_55_49_pluck_adu_dr220.mp3|sound sample]]


**55/49**, the werckismic tone, is 0.02 cents flat of the 200 cent tone of 12et, and 441/440 (3.9 cents) flat of the major whole tone, [[9_8|9/8]]. This is related to the fact that two schismas are very nearly 441/440, differing only by the comma |27 -14 -3 2 -1&gt; of 0.02 cents. It arises in 11-limit scales as the interval from 7/5 to 11/7.</pre></div>
'''55/49''', the '''werckismic tone''', is 0.02{{cent}} flat of the 200 cent tone of [[12edo]], and 441/440 (3.) flat of the major whole tone, [[9/8]]. It is identified with the 200 cent tone by the [[spoob]] comma, which sets 6 instances of this interval to be equal to the octave. This is related to the fact that two schismas ([[32805/32768]] each) are very nearly [[441/440]], differing only by the comma {{Monzo|27 -14 -3 2 -1}} of 0.02{{c}}. It arises in [[11-limit]] scales as the interval from [[7/5]] to [[11/7]].
<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;55_49&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;55/49&lt;/strong&gt;&lt;br /&gt;
In [[Functional Just System]] and [[Helmholtz&ndash;Ellis notation]], this interval is represented by an augmented unison.
|0 0 1 -2 1&amp;gt;&lt;br /&gt;
 
199.9798 cents&lt;br /&gt;
== See also ==
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_55_49_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_55_49_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_55_49_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_55_49_pluck_adu_dr220.mp3/515315714/jid_55_49_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_55_49_pluck_adu_dr220.mp3/515315714/jid_55_49_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
* [[Gallery of just intervals]]
&lt;br /&gt;
 
&lt;strong&gt;55/49&lt;/strong&gt;, the werckismic tone, is 0.02 cents flat of the 200 cent tone of 12et, and 441/440 (3.9 cents) flat of the major whole tone, &lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt;. This is related to the fact that two schismas are very nearly 441/440, differing only by the comma |27 -14 -3 2 -1&amp;gt; of 0.02 cents. It arises in 11-limit scales as the interval from 7/5 to 11/7.&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Second]]
[[Category:Whole tone]]
[[Category:Werckismic]]

Latest revision as of 16:29, 15 January 2025

Interval information
Ratio 55/49
Factorization 5 × 7-2 × 11
Monzo [0 0 1 -2 1
Size in cents 199.9798¢
Name werckismic tone
Color name 1orry1, loruruyo unison
FJS name [math]\displaystyle{ \text{A1}^{5,11}_{7,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 11.3961
Weil height (log2 max(n, d)) 11.5627
Wilson height (sopfr(nd)) 30

[sound info]
Open this interval in xen-calc

55/49, the werckismic tone, is 0.02 ¢ flat of the 200 cent tone of 12edo, and 441/440 (3.9¢) flat of the major whole tone, 9/8. It is identified with the 200 cent tone by the spoob comma, which sets 6 instances of this interval to be equal to the octave. This is related to the fact that two schismas (32805/32768 each) are very nearly 441/440, differing only by the comma [27 -14 -3 2 -1 of 0.02 ¢. It arises in 11-limit scales as the interval from 7/5 to 11/7.

In Functional Just System and Helmholtz–Ellis notation, this interval is represented by an augmented unison.

See also