7/6: Difference between revisions

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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 = subminor third, septimal minor third

~~: This revision was by author [[User:spt3125~~|~~spt3125]] and made on <tt>2014-06-07 12:16:35 UTC</tt>.<br>~~

| Color name = z3, zo 3rd

~~: The original revision id was <tt>513184096</tt>.<br>~~

| Sound = jid_7_6_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">**7/6**

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

~~266.87091 cents~~

~~[[media type~~=~~"file" key="~~jid_7_6_pluck_adu_dr220.mp3~~"]]~~

In 7-limit ~~Just Intonation~~, 7:6 is the septimal minor third. At about 267 cents, it is smaller than both the 5-limit minor third (6/5, ~316 cents) and the familiar 12edo minor third (300 cents).

In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a [[6:7:9]] subminor triad can sound very stable compared to a [[14:18:21]] supermajor triad. It can also be used with [[8/7]] in a [[6:7:8]] triad dividing [[4/3]] rather than [[3/2]], though this chord is better voiced as 4:6:7.

== Approximation ==

== Temperaments ==

7/6 can be used as a generator for several temperaments, most notably [[orwell]], where two subminor thirds reach [[11/8]], three reach [[8/5]], and seven reach [[3/2]]. It also generates [[septimin]].

[[~~http://en.wikipedia.org/wiki/Septimal_minor_third~~]]~~</pre></div>~~

It is almost perfectly approximated by [[9edo|2\9]], and is represented as such in the [[septiennealimmal clan]], including [[ennealimmal]].

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

== See also ==

~~<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>7_6<~~/~~title><~~/~~head><body><strong>~~7/~~6<~~/~~strong><br />~~

* [[12/7]] – its [[octave complement]]

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

* [[9/7]] – its [[fifth complement]]

~~266.87091 cents<br />~~

* [[8/7]] – its [[fourth complement]]

~~<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_7_6_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><br />

* [[7/3]] – the interval plus one [[octave]] may sound even more [[consonant]]

~~<br />~~

* [[Gallery of just intervals]]

~~In 7-limit Just Intonation, 7~~:~~6 is the septimal minor third. At about 267 cents, it is smaller than both the 5~~-~~limit minor third (6/5, ~316 cents) and the familiar 12edo minor third (300 cents).<br />~~

~~<br />~~

== References ==

~~<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_minor_third" rel="nofollow">http://en.wikipedia.org/wiki/Septimal_minor_third</a></body></html></pre></div>~~

[[Category:Third]]

[[Category:Minor third]]

[[Category:Subminor third]]

[[Category:Over-3 intervals]]

@@ 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 = subminor third, septimal minor third
-: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 12:16:35 UTC</tt>.<br>
+| Color name = z3, zo 3rd
-: The original revision id was <tt>513184096</tt>.<br>
+| Sound = jid_7_6_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|Septimal minor third}}
-<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">**7/6**
-|-1 -1 0 1&gt;
-.87091 cents
-[[media type="file" key="jid_7_6_pluck_adu_dr220.mp3"]]
-In 7-limit Just Intonation, 7:6 is the septimal minor third. At about 267 cents, it is smaller than both the 5-limit minor third (6/5, ~316 cents) and the familiar 12edo minor third (300 cents).
+In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a [[6:7:9]] subminor triad can sound very stable compared to a [[14:18:21]] supermajor triad. It can also be used with [[8/7]] in a [[6:7:8]] triad dividing [[4/3]] rather than [[3/2]], though this chord is better voiced as 4:6:7.
+== Approximation ==
+{{Interval edo approximation|7/6}}
+== Temperaments ==
+/6 can be used as a generator for several temperaments, most notably [[orwell]], where two subminor thirds reach [[11/8]], three reach [[8/5]], and seven reach [[3/2]]. It also generates [[septimin]].
-[[http://en.wikipedia.org/wiki/Septimal_minor_third]]</pre></div>
+It is almost perfectly approximated by [[9edo|2\9]], and is represented as such in the [[septiennealimmal clan]], including [[ennealimmal]].
-<h4>Original HTML content:</h4>
+== See also ==
-<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;7_6&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;7/6&lt;/strong&gt;&lt;br /&gt;
+* [[12/7]] – its [[octave complement]]
-|-1 -1 0 1&amp;gt;&lt;br /&gt;
+* [[9/7]] – its [[fifth complement]]
-.87091 cents&lt;br /&gt;
+* [[8/7]] – its [[fourth complement]]
-&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_7_6_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_7_6_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_7_6_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;br /&gt;
+* [[7/3]] – the interval plus one [[octave]] may sound even more [[consonant]]
-&lt;br /&gt;
+* [[Gallery of just intervals]]
-In 7-limit Just Intonation, 7:6 is the septimal minor third. At about 267 cents, it is smaller than both the 5-limit minor third (6/5, ~316 cents) and the familiar 12edo minor third (300 cents).&lt;br /&gt;
-&lt;br /&gt;
+== References ==
-&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_minor_third" rel="nofollow"&gt;http://en.wikipedia.org/wiki/Septimal_minor_third&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+<references />
+[[Category:Third]]
+[[Category:Minor third]]
+[[Category:Subminor third]]
+[[Category:Over-3 intervals]]
+{{Todo| expand }}