12/7: 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 = supermajor sixth, septimal major sixth

~~: This revision was by author [[User:Andrew_Heathwaite~~|~~Andrew_Heathwaite]] and made on <tt>2011-09-29 18:25:05 UTC</tt>.<br>~~

| Color name = r6, ru 6th

~~: The original revision id was <tt>259800020</tt>.<br>~~

| Sound = jid_12_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>~~

~~<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">In [[7-limit]] [[Just Intonation]], 12/7 is the septimal~~ supermajor sixth of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5_3|5/3]] by [[36_35|36/25]] -- the septimal ~~quartertone -- a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean~~ major sixth ~~of [[27_16~~|~~27/16]] by [[64_63|64/63]] -- Archytas' comma -- about 27.3¢. And finally~~, ~~it differs from the harmonic seventh -- [[7_4~~|~~7/4]], about 968~~.~~8¢ -- by [[49_48~~|~~49/48]] -- the large septimal diesis or slendro diesis -- about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7_6|7/6]].~~

~~See:~~ [[~~Gallery of Just Intervals]]</pre></div>~~

In [[7-limit]] [[just intonation]], '''12/7''' is the '''septimal (super)major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as [[70:84:105:120|1/(12:10:8:7)]]. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].

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

== Approximation ==

<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_7</title></head><body>In <a class="wiki_link" href="/7-limit~~">7-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>~~, 12/7 is the septimal ~~supermajor~~ sixth of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of ~~<a class="wiki_link" href="/5_3">~~5/3~~</a>~~ by ~~<a class="wiki_link" href="/36_35">~~36/~~25</a> --~~ the septimal quartertone -- a ~~<a class="wiki_link" href="/~~superparticular~~">superparticular</a>~~ interval of about 48.8¢. It differs from the Pythagorean major sixth of ~~<a class="wiki_link" href="/27_16">~~27/16~~</a>~~ by ~~<a class="wiki_link" href="/64_63">~~64/63~~</a> --~~ Archytas' comma -- about 27.3¢. And finally, it differs from the harmonic seventh ~~-- <a class="wiki_link" href="/7_4">~~7/4~~</a>, about 968.8¢ --~~ by ~~<a class="wiki_link" href="/49_48">~~49/48~~</a> --~~ the large septimal diesis or slendro diesis -- about 35.7¢. 12/7 is the inversion of the septimal subminor third of ~~<a class="wiki_link" href="/7_6">~~7/6~~</a>~~.~~<br~~ /~~>~~

~~<br />~~

See~~: <a class~~=~~"wiki_link" href~~="/~~Gallery%20of%20Just%20Intervals">~~Gallery of ~~Just Intervals</a></body></html></pre></div>~~

== See also ==

* [[7/6]] – its [[octave complement]]

* [[7/4]] – its [[twelfth complement]]

* [[Gallery of just intervals]]

* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample

[[Category:Sixth]]

[[Category:Major sixth]]

[[Category:Supermajor sixth]]

[[Category:Over-7 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 = supermajor sixth, septimal major sixth
-: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-29 18:25:05 UTC</tt>.<br>
+| Color name = r6, ru 6th
-: The original revision id was <tt>259800020</tt>.<br>
+| Sound = jid_12_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>
+{{Wikipedia| Septimal major sixth }}
-<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">In [[7-limit]] [[Just Intonation]], 12/7 is the septimal supermajor sixth of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5_3|5/3]] by [[36_35|36/25]] -- the septimal quartertone -- a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27_16|27/16]] by [[64_63|64/63]] -- Archytas' comma -- about 27.3¢. And finally, it differs from the harmonic seventh -- [[7_4|7/4]], about 968.8¢ -- by [[49_48|49/48]] -- the large septimal diesis or slendro diesis -- about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7_6|7/6]].
-See: [[Gallery of Just Intervals]]</pre></div>
+In [[7-limit]] [[just intonation]], '''12/7''' is the '''septimal (super)major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as [[70:84:105:120|1/(12:10:8:7)]]. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].
-<h4>Original HTML content:</h4>
+== Approximation ==
-<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;12_7&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 12/7 is the septimal supermajor sixth of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of &lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt; by &lt;a class="wiki_link" href="/36_35"&gt;36/25&lt;/a&gt; -- the septimal quartertone -- a &lt;a class="wiki_link" href="/superparticular"&gt;superparticular&lt;/a&gt; interval of about 48.8¢. It differs from the Pythagorean major sixth of &lt;a class="wiki_link" href="/27_16"&gt;27/16&lt;/a&gt; by &lt;a class="wiki_link" href="/64_63"&gt;64/63&lt;/a&gt; -- Archytas' comma -- about 27.3¢. And finally, it differs from the harmonic seventh -- &lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;, about 968.8¢ -- by &lt;a class="wiki_link" href="/49_48"&gt;49/48&lt;/a&gt; -- the large septimal diesis or slendro diesis -- about 35.7¢. 12/7 is the inversion of the septimal subminor third of &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;.&lt;br /&gt;
+{{Interval edo approximation|12/7}}
-&lt;br /&gt;
-See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+== See also ==
+* [[7/6]] – its [[octave complement]]
+* [[7/4]] – its [[twelfth complement]]
+* [[Gallery of just intervals]]
+* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample
+[[Category:Sixth]]
+[[Category:Major sixth]]
+[[Category:Supermajor sixth]]
+[[Category:Over-7 intervals]]