20/13: Difference between revisions

(18 intermediate revisions by 8 users not shown)

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 = Barbados sixth, tridecimal semitenth

~~: This revision was by author~~ [[~~User:spt3125|spt3125~~]] and ~~made on <tt>2014-06-10~~ 21~~:44:00 UTC</tt>~~.~~<br>~~

| Color name = 3uy5, thuyo 5th

: The ~~original revision id was <tt>513546468</tt>.<br>~~

| Sound = jid_20_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>~~

'''20/13''', the '''tridecimal semitenth''', is a [[13-limit]] [[interseptimal]] interval measuring about 745.8 [[cent]]s. It falls in an ambiguous zone between a narrow minor sixth such as [[14/9]] and a sharp fifth such as [[32/21]]. The descriptor "interseptimal" comes from [[Margo Schulter]], and indicates its position between those two septimal (7-based) extremes.

~~<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">**20/13**

In many notation systems based on the [[5L 2s|diatonic]] [[chain-of-fifths notation]] with commatic alterations (e.g. [[FJS]], [[HEJI]]), 20/13 is a fifth, as it is a [[3/2|perfect fifth (3/2)]] plus an instance of [[40/39]], which is a [[2187/2048|Pythagorean apotome]] minus a stack consisting of an [[81/80|syntonic comma (81/80)]] and a [[1053/1024|tridecimal quartertone (1053/1024)]], none of which changes the [[scale|scale degree]]. It functions as such in voicings of the harmonic thirteenth chord, [[4:5:6:7:9:11:13]].

|2 ~~0 1 0 0 -1>~~

~~745.7861 cents~~

However, 20/13 also appears in voicings of the relatively simple [[10:13:15]] triad, which consists of [[13/10]] and [[15/13]] that stack to make a [[3/2]] perfect fifth. This makes 20/13 function as an inframinor sixth (if the chord is not taken as a suspension).

[[~~media type="file" key="jid_20_13_pluck_adu_dr220.mp3"~~]] [[~~file:xenharmonic~~/~~jid_20_13_pluck_adu_dr220.mp3~~|~~sound sample~~]]</~~pre><~~/~~div>~~

~~<h4>Original HTML content:<~~/~~h4>~~

20/13 is the targeted as the wolf fifth in [[Gene Ward Smith]]'s [[Ratwolf]] scale.

~~<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>20_13</title></head><body><strong>20/~~13~~</strong><br />~~

~~|2 0 1 0 0 -1&gt;<br />~~

== Approximation ==

~~745.7861 cents<br~~ /~~>~~

~~<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_20_13_pluck_adu_dr220.mp3?file_extension~~=~~mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"><~~/~~embed> <a href="http~~:~~//xenharmonic.wikispaces.com/file/view/jid_20_13_pluck_adu_dr220.mp3/513545308/jid_20_13_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http~~:~~//xenharmonic.wikispaces.com/file/view/jid_20_13_pluck_adu_dr220.mp3/513545308/jid_20_13_pluck_adu_dr220.mp3');">sound sample</a></body></html></pre></div>~~

== See also ==

* [[13/10]] – its [[octave complement]]

* [[Gallery of just intervals]]

[[Category:Interseptimal intervals]]

[[Category:Cocytic]]

[[Category:Sixth]]

[[Category:Subminor sixth]]

[[Category:Fifth]]

[[Category:Superfifth]]

@@ 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 = Barbados sixth, tridecimal semitenth
-: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-10 21:44:00 UTC</tt>.<br>
+| Color name = 3uy5, thuyo 5th
-: The original revision id was <tt>513546468</tt>.<br>
+| Sound = jid_20_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>
+'''20/13''', the '''tridecimal semitenth''', is a [[13-limit]] [[interseptimal]] interval measuring about 745.8 [[cent]]s. It falls in an ambiguous zone between a narrow minor sixth such as [[14/9]] and a sharp fifth such as [[32/21]]. The descriptor "interseptimal" comes from [[Margo Schulter]], and indicates its position between those two septimal (7-based) extremes.
-<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">**20/13**
+In many notation systems based on the [[5L 2s|diatonic]] [[chain-of-fifths notation]] with commatic alterations (e.g. [[FJS]], [[HEJI]]), 20/13 is a fifth, as it is a [[3/2|perfect fifth (3/2)]] plus an instance of [[40/39]], which is a [[2187/2048|Pythagorean apotome]] minus a stack consisting of an [[81/80|syntonic comma (81/80)]] and a [[1053/1024|tridecimal quartertone (1053/1024)]], none of which changes the [[scale|scale degree]]. It functions as such in voicings of the harmonic thirteenth chord, [[4:5:6:7:9:11:13]].
-|2 0 1 0 0 -1&gt;
-.7861 cents
+However, 20/13 also appears in voicings of the relatively simple [[10:13:15]] triad, which consists of [[13/10]] and [[15/13]] that stack to make a [[3/2]] perfect fifth. This makes 20/13 function as an inframinor sixth (if the chord is not taken as a suspension).
-[[media type="file" key="jid_20_13_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_20_13_pluck_adu_dr220.mp3|sound sample]]</pre></div>
-<h4>Original HTML content:</h4>
+/13 is the targeted as the wolf fifth in [[Gene Ward Smith]]'s [[Ratwolf]] scale.
-<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;20_13&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;20/13&lt;/strong&gt;&lt;br /&gt;
-|2 0 1 0 0 -1&amp;gt;&lt;br /&gt;
+== Approximation ==
-.7861 cents&lt;br /&gt;
+{{Interval edo approximation|20/13}}
-&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_20_13_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_20_13_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_20_13_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_20_13_pluck_adu_dr220.mp3/513545308/jid_20_13_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_20_13_pluck_adu_dr220.mp3/513545308/jid_20_13_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+== See also ==
+* [[13/10]] – its [[octave complement]]
+* [[Gallery of just intervals]]
+[[Category:Interseptimal intervals]]
+[[Category:Cocytic]]
+[[Category:Sixth]]
+[[Category:Subminor sixth]]
+[[Category:Fifth]]
+[[Category:Superfifth]]