|
|
| (16 intermediate revisions by 12 users not shown) |
| Line 1: |
Line 1: |
| <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 = undecimal augmented fourth, undecimal grave infra-augmented fourth |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 23:09:14 UTC</tt>.<br>
| | | Color name = 1uy4, luyo 4th |
| : The original revision id was <tt>513214878</tt>.<br>
| | | Sound = jid_15_11_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">**15/11**
| |
| |0 1 1 0 -1> | |
| 536.95077 cents
| |
| [[media type="file" key="jid_15_11_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_15_11_pluck_adu_dr220.mp3|sound sample]]
| |
|
| |
|
| The undecimal augmented fourth, or 15/11, is the difference between the 11th and 15th partials of the [[OverToneSeries|harmonic series]]. It is 536.95 [[cent|cents]] wide, exactly [[45_44|45/44]] larger than a perfect fourth, and almost exactly a sixth-tone sharper than a [[12edo]] fourth. It is narrower than [[11_8|11/8]] by exactly [[121_10|121/120]]. 15/11 can be called a [[superfourth]], as it falls between the [[interval category|interval categories]] of [[perfect fourth]] and [[tritone]]. 4 steps of [[9edo]] is an excellent approximation for 15/11. | | The interval '''15/11''', known most frequently as the '''undecimal augmented fourth''', is the difference between the 11th and 15th partials of the [[harmonic series]]. It is 536.95 [[cent]]s wide, exactly [[45/44]] larger than a perfect fourth, and almost exactly a sixth-tone sharper than a [[12edo]] fourth. It is narrower than [[11/8]] by exactly [[121/120]], and is wider than [[27/20]] by exactly [[100/99]]. Additionally, it is narrower than [[243/176]] by exactly [[81/80]], which lends to it being called the '''undecimal grave infra-augmented fourth'''. 15/11 can be called a [[superfourth]], as it falls between the [[interval category|interval categories]] of [[perfect fourth]] and [[tritone]]. 4 steps of [[9edo]] is an excellent approximation for 15/11. |
|
| |
|
| See: [[Gallery of Just Intervals]]</pre></div> | | == See also == |
| <h4>Original HTML content:</h4>
| | * [[22/15]] – its [[octave complement]] |
| <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"><html><head><title>15_11</title></head><body><strong>15/11</strong><br />
| | * [[11/10]] – its [[fifth complement]] |
| |0 1 1 0 -1&gt;<br />
| | * [[Gallery of just intervals]] |
| 536.95077 cents<br />
| | |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_15_11_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_15_11_pluck_adu_dr220.mp3&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><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_15_11_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --> <a href="http://xenharmonic.wikispaces.com/file/view/jid_15_11_pluck_adu_dr220.mp3/513214838/jid_15_11_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_15_11_pluck_adu_dr220.mp3/513214838/jid_15_11_pluck_adu_dr220.mp3');">sound sample</a><br />
| | [[Category:Fourth]] |
| <br />
| | [[Category:Superfourth]] |
| The undecimal augmented fourth, or 15/11, is the difference between the 11th and 15th partials of the <a class="wiki_link" href="/OverToneSeries">harmonic series</a>. It is 536.95 <a class="wiki_link" href="/cent">cents</a> wide, exactly <a class="wiki_link" href="/45_44">45/44</a> larger than a perfect fourth, and almost exactly a sixth-tone sharper than a <a class="wiki_link" href="/12edo">12edo</a> fourth. It is narrower than <a class="wiki_link" href="/11_8">11/8</a> by exactly <a class="wiki_link" href="/121_10">121/120</a>. 15/11 can be called a <a class="wiki_link" href="/superfourth">superfourth</a>, as it falls between the <a class="wiki_link" href="/interval%20category">interval categories</a> of <a class="wiki_link" href="/perfect%20fourth">perfect fourth</a> and <a class="wiki_link" href="/tritone">tritone</a>. 4 steps of <a class="wiki_link" href="/9edo">9edo</a> is an excellent approximation for 15/11.<br />
| | [[Category:Over-11 intervals]] |
| <br />
| |
| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
| |
The interval 15/11, known most frequently as the undecimal augmented fourth, is the difference between the 11th and 15th partials of the harmonic series. It is 536.95 cents wide, exactly 45/44 larger than a perfect fourth, and almost exactly a sixth-tone sharper than a 12edo fourth. It is narrower than 11/8 by exactly 121/120, and is wider than 27/20 by exactly 100/99. Additionally, it is narrower than 243/176 by exactly 81/80, which lends to it being called the undecimal grave infra-augmented fourth. 15/11 can be called a superfourth, as it falls between the interval categories of perfect fourth and tritone. 4 steps of 9edo is an excellent approximation for 15/11.
See also