|
|
| (17 intermediate revisions by 11 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 neutral second, Alpharabian tendoneutral second |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 16:01:40 UTC</tt>.<br>
| | | Color name = 1u2, lu 2nd |
| : The original revision id was <tt>513195536</tt>.<br>
| | | Sound = jid_12_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>
| | {{Wikipedia|Neutral second}} |
| <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">**12/11**
| |
| |2 1 0 0 -1> | |
| 150.63706 cents
| |
| [[media type="file" key="jid_12_11_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_12_11_pluck_adu_dr220.mp3|sound sample]]
| |
|
| |
|
| The (lesser) neutral second is a strangely exotic interval found between the 11th and 12th partials of the harmonic series. In Just Intonation it is represented by the [[superparticular]] ratio 12/11, and is about 150.6 [[cent|cents]] large. One step of [[8edo]] is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma (12/11)^8/2 = |15 8 0 0 -8>. It follows that EDOs which are multiples of 8, such as [[16edo]] and [[24edo]], will also represent this interval well.
| | '''12/11''', the '''undecimal neutral second''' or '''(lesser) neutral second''', is an interval found between the 11th and 12th partials of the [[harmonic series]]. In [[just intonation]] it is represented by the [[superparticular]] ratio 12/11, and is about 150.6 [[cent]]s large. One step of [[8edo]] is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma [[Undecimal_octatonic_comma|(12/11)<sup>8</sup>/2 = {{Monzo|15 8 0 0 -8}}]]. It follows that EDOs which are multiples of 8, such as [[16edo]] and [[24edo]], will also represent this interval well. In [[Alpharabian tuning]] it is known as the '''Alpharabian tendoneutral second'''. |
|
| |
|
| 12/11 differs from the larger undecimal neutral second 11/10 (~165 cents) by 121/120 (~14.4 cents). Temperaments which conflate the two (thus tempering out 121/120) include [[15edo]], [[22edo]], [[31edo]], [[orwell]], [[porcupine]], [[mohajira]] and [[valentine]].</pre></div> | | 12/11 differs from the larger undecimal neutral second [[11/10]] (~165 cents) by [[121/120]] (~14.4 cents). Temperaments which conflate the two (thus tempering out 121/120) include [[15edo]], [[22edo]], [[31edo]], [[orwell]], [[porcupine]], [[mohajira]], [[valentine]], etc. |
| <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"><html><head><title>12_11</title></head><body><strong>12/11</strong><br />
| | Many Western listeners might describe 12/11 as sounding "exotic". |
| |2 1 0 0 -1&gt;<br />
| | |
| 150.63706 cents<br />
| | == See also == |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_12_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_12_11_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_12_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_12_11_pluck_adu_dr220.mp3/513195200/jid_12_11_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_12_11_pluck_adu_dr220.mp3/513195200/jid_12_11_pluck_adu_dr220.mp3');">sound sample</a><br />
| | * [[11/6]] – its [[octave complement]] |
| <br />
| | * [[11/8]] – its [[fifth complement]] |
| The (lesser) neutral second is a strangely exotic interval found between the 11th and 12th partials of the harmonic series. In Just Intonation it is represented by the <a class="wiki_link" href="/superparticular">superparticular</a> ratio 12/11, and is about 150.6 <a class="wiki_link" href="/cent">cents</a> large. One step of <a class="wiki_link" href="/8edo">8edo</a> is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma (12/11)^8/2 = |15 8 0 0 -8&gt;. It follows that EDOs which are multiples of 8, such as <a class="wiki_link" href="/16edo">16edo</a> and <a class="wiki_link" href="/24edo">24edo</a>, will also represent this interval well.<br />
| | * [[11/9]] – its [[fourth complement]] |
| <br />
| | * [[Iceface Tuning]] |
| 12/11 differs from the larger undecimal neutral second 11/10 (~165 cents) by 121/120 (~14.4 cents). Temperaments which conflate the two (thus tempering out 121/120) include <a class="wiki_link" href="/15edo">15edo</a>, <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/31edo">31edo</a>, <a class="wiki_link" href="/orwell">orwell</a>, <a class="wiki_link" href="/porcupine">porcupine</a>, <a class="wiki_link" href="/mohajira">mohajira</a> and <a class="wiki_link" href="/valentine">valentine</a>.</body></html></pre></div>
| | * [[Gallery of just intervals]] |
| | * [[List of superparticular intervals]] |
| | |
| | [[Category:Second]] |
| | [[Category:Neutral second]] |
| | [[Category:Over-11 intervals]] |
12/11, the undecimal neutral second or (lesser) neutral second, is an interval found between the 11th and 12th partials of the harmonic series. In just intonation it is represented by the superparticular ratio 12/11, and is about 150.6 cents large. One step of 8edo is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma (12/11)8/2 = [15 8 0 0 -8⟩. It follows that EDOs which are multiples of 8, such as 16edo and 24edo, will also represent this interval well. In Alpharabian tuning it is known as the Alpharabian tendoneutral second.
12/11 differs from the larger undecimal neutral second 11/10 (~165 cents) by 121/120 (~14.4 cents). Temperaments which conflate the two (thus tempering out 121/120) include 15edo, 22edo, 31edo, orwell, porcupine, mohajira, valentine, etc.
Many Western listeners might describe 12/11 as sounding "exotic".
See also
