|
|
| (16 intermediate revisions by 8 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 = septendecimal subfourth |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 15:46:35 UTC</tt>.<br>
| | | Color name = 17o3u4, sothu 4th |
| : The original revision id was <tt>513256192</tt>.<br>
| | | Sound = jid_17_13_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>
| | In [[17-limit]] [[just intonation]], '''17/13''' is the '''septendecimal subfourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics. |
| <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">**17/13**
| |
| |0 0 0 0 0 -1 1>
| |
| 464.4277 cents
| |
| [[media type="file" key="jid_17_13_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_17_13_pluck_adu_dr220.mp3|sound sample]] | |
|
| |
|
| In [[17-limit]] [[Just Intonation]], 17/13 is the "septendecimal sub-fourth," measuring about 464.4¢. It is the [[mediant]] between [[13_10|13/10]] and [[4_3|4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[OverToneSeries|harmonic series]] between the 13th and 17th harmonics.
| | It is less than 0.1 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%). |
|
| |
|
| See: [[Gallery of Just Intervals]]</pre></div> | | == See also == |
| <h4>Original HTML content:</h4>
| | * [[26/17]] – 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>17_13</title></head><body><strong>17/13</strong><br />
| | * [[Gallery of just intervals]] |
| |0 0 0 0 0 -1 1&gt;<br />
| | |
| 464.4277 cents<br />
| | [[Category:Fourth]] |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_17_13_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_17_13_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_17_13_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_17_13_pluck_adu_dr220.mp3/513249978/jid_17_13_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_17_13_pluck_adu_dr220.mp3/513249978/jid_17_13_pluck_adu_dr220.mp3');">sound sample</a><br />
| | [[Category:Subfourth]] |
| <br />
| | [[Category:Interseptimal intervals]] |
| In <a class="wiki_link" href="/17-limit">17-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 17/13 is the &quot;septendecimal sub-fourth,&quot; measuring about 464.4¢. It is the <a class="wiki_link" href="/mediant">mediant</a> between <a class="wiki_link" href="/13_10">13/10</a> and <a class="wiki_link" href="/4_3">4/3</a> and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls <a class="wiki_link" href="/interseptimal">interseptimal</a>. It appears in the <a class="wiki_link" href="/OverToneSeries">harmonic series</a> between the 13th and 17th harmonics.<br />
| | [[Category:Naiadic]] |
| <br />
| | [[Category:Taxicab-2 intervals]] |
| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
| |
In 17-limit just intonation, 17/13 is the septendecimal subfourth, measuring about 464.4¢. It differs from the 4/3 perfect fourth by the comma 52/51, about 33.6¢. It is the mediant between 13/10 and 4/3 and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls interseptimal. It appears in the harmonic series between the 13th and 17th harmonics.
It is less than 0.1 cents flat of 31edo's subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c (relative error 7.1%).
See also