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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 = undecimal minor sixth, pentacircle minor sixth |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 15:25:07 UTC</tt>.<br>
| | | Color name = 1or5, loru 5th |
| : The original revision id was <tt>513193840</tt>.<br>
| | | Sound = jid_11_7_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>
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| <h4>Original Wikitext content:</h4>
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| <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">**11/7**
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| |0 0 0 -1 1> | |
| 782.49204 cents
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| [[media type="file" key="jid_11_7_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_11_7_pluck_adu_dr220.mp3|sound sample]]
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| In [[11-limit]] [[Just Intonation]], 11/7 is an undecimal (11-based) subminor sixth, measuring about 782.5¢ It is the inversion of [[14_11|14/11]], the undecimal supermajor third. Another subminor sixth is [[14_9|14/9]], at about 764.9¢; the interval between these is [[99_98|99/98]], about 17.6¢. | | In [[11-limit]] [[just intonation]], '''11/7''' is an '''undecimal minor sixth''', specifically the '''pentacircle minor sixth''', measuring about 782.5 [[cent]]s. It is the inversion of [[14/11]], the pentacircle major third, and represents the difference between the 7th and 11th harmonics of the [[harmonic series]]. |
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| 11/7 is [[22_21|22/21]] (about 80.5¢) above the [[3_2|3/2]] perfect fifth, allowing the possibility of a resolution down by a step from 11/7 to 3/2.
| | In many notation systems (e.g. [[FJS]], [[HEJI]]), it is an imperfect fifth, as it is a [[3/2|perfect fifth (3/2)]] plus an instance of [[22/21]], which is a stack consisting of an [[33/32|undecimal quartertone (33/32)]] and a [[64/63|septimal comma (64/63)]], neither of which changes the [[scale|scale degree]] or [[interval quality|quality]]. It functions as such in voicings of the harmonic eleventh chord, [[4:5:6:7:9:11]]. |
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| See: [[Gallery of Just Intervals]]</pre></div>
| | However, it is only flat of the [[128/81|Pythagorean minor sixth]] (about 792.2{{c}}) by a [[896/891|pentacircle comma (896/891)]], which makes it function sometimes as a minor sixth, hence the names. For one thing, as it is 22/21 (about 80.5{{c}}) above the perfect fifth, it can be resolved down by a step to the perfect fifth. |
| <h4>Original HTML content:</h4>
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| <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>11_7</title></head><body><strong>11/7</strong><br />
| | It is flat of the 5-limit minor sixth of [[8/5]] (about 813.7{{c}}) by [[56/55]]. It is sharp of the 7-limit subminor sixth of [[14/9]] (about 764.9{{c}}) by a mothwellsma, [[99/98]]. And finally, it is sharp of the classic augmented fifth of [[25/16]] (about 772.6{{c}}) by a valinorsma, [[176/175]]. |
| |0 0 0 -1 1&gt;<br /> | | |
| 782.49204 cents<br />
| | == Approximation == |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_11_7_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_11_7_pluck_adu_dr220.mp3&amp;quot; width=&amp;quot;240&amp;quot; height=&amp;quot;20&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_11_7_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_11_7_pluck_adu_dr220.mp3/513193782/jid_11_7_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_11_7_pluck_adu_dr220.mp3/513193782/jid_11_7_pluck_adu_dr220.mp3');">sound sample</a><br />
| | {{Interval edo approximation|11/7}} |
| <br />
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| In <a class="wiki_link" href="/11-limit">11-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 11/7 is an undecimal (11-based) subminor sixth, measuring about 782.5¢ It is the inversion of <a class="wiki_link" href="/14_11">14/11</a>, the undecimal supermajor third. Another subminor sixth is <a class="wiki_link" href="/14_9">14/9</a>, at about 764.9¢; the interval between these is <a class="wiki_link" href="/99_98">99/98</a>, about 17.6¢.<br />
| | == Proximity with acoustic pi == |
| <br />
| | [[22/7]], one octave higher, is a fraction convergent to the continued fraction of acoustic pi. Such is the exactness, that 22/7π is an [[unnoticeable comma]] of only 0.7 cents. |
| 11/7 is <a class="wiki_link" href="/22_21">22/21</a> (about 80.5¢) above the <a class="wiki_link" href="/3_2">3/2</a> perfect fifth, allowing the possibility of a resolution down by a step from 11/7 to 3/2.<br /> | | |
| <br />
| | == See also == |
| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
| | * [[14/11]] – its [[octave complement]] |
| | * [[21/11]] – its [[twelfth complement]] |
| | * [[Ed11/7]] |
| | * [[Gallery of just intervals]] |
| | * [[:File:Ji-11-7-csound-foscil-220hz.mp3]] – another sound example |
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| | [[Category:Over-7 intervals]] |
| | [[Category:Sixth]] |
| | [[Category:Minor sixth]] |
| | [[Category:Subminor sixth]] |
| | [[Category:Pentacircle]] |
| | [[Category:Taxicab-2 intervals]] |