8/7: Difference between revisions

(34 intermediate revisions by 19 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 = septimal whole tone, supermajor second, septimal major second, septimal supermajor second

: ~~This revision was by author~~ [[~~User:genewardsmith|genewardsmith~~]] and ~~made on <tt>2011-08-08 14:40:46 UTC<~~/~~tt>~~.~~<br>~~

| Color name = r2, ru 2nd

~~: The original revision id was <tt>244879475<~~/~~tt>~~.~~<br>~~

| Sound = jid_8_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">~~[[~~http:~~//~~en.wikipedia.org~~/~~wiki/Septimal_whole_tone~~]]~~</pre></div>~~

In [[just intonation]], 8/7 is the '''septimal major second''', or '''septimal supermajor second''', of approximately 231.2{{cent}}. Although it falls between the familiar major second and minor third of [[12edo]], most people think of it more like a wide second than a narrow third. It can be found between the 7th and 8th [[harmonic]]s and is thus a [[superparticular]] ratio. In [[7-limit]] JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh ([[7/4]]) and octave. It differs from the Pythagorean major second of [[9/8]] by [[64/63]], a microtone of about 27.3{{cent}}. It is close in size to 5edo's 240{{c}} step.

~~<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>8_7</title></head><body><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_whole_tone" rel="nofollow">http://en.wikipedia.org/wiki/Septimal_whole_tone</a></body></html></pre></div>

A stack of three supermajor seconds is close to a perfect fifth ([[3/2]]). The difference is [[1029/1024]] (about 8.4{{c}}), which is tempered out in [[slendric]] systems like [[31edo]].

== Approximation ==

== See also ==

* [[7/4]] – its [[octave complement]]

* [[21/16]] – its [[fifth complement]]

* [[7/6]] – its [[fourth complement]]

* [[Gallery of just intervals]]

[[Category:Second]]

[[Category:Supermajor second]]

[[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 = septimal whole tone, supermajor second, septimal major second, septimal supermajor second
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-08 14:40:46 UTC</tt>.<br>
+| Color name = r2, ru 2nd
-: The original revision id was <tt>244879475</tt>.<br>
+| Sound = jid_8_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 whole tone}}
-<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">[[http://en.wikipedia.org/wiki/Septimal_whole_tone]]</pre></div>
+In [[just intonation]], 8/7 is the '''septimal major second''', or '''septimal supermajor second''', of approximately 231.2{{cent}}. Although it falls between the familiar major second and minor third of [[12edo]], most people think of it more like a wide second than a narrow third. It can be found between the 7th and 8th [[harmonic]]s and is thus a [[superparticular]] ratio. In [[7-limit]] JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh ([[7/4]]) and octave. It differs from the Pythagorean major second of [[9/8]] by [[64/63]], a microtone of about 27.3{{cent}}. It is close in size to 5edo's 240{{c}} step.
-<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;8_7&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_whole_tone" rel="nofollow"&gt;http://en.wikipedia.org/wiki/Septimal_whole_tone&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+A stack of three supermajor seconds is close to a perfect fifth ([[3/2]]). The difference is [[1029/1024]] (about 8.4{{c}}), which is tempered out in [[slendric]] systems like [[31edo]].
+== Approximation ==
+{{Interval edo approximation|8/7}}
+== See also ==
+* [[7/4]] – its [[octave complement]]
+* [[21/16]] – its [[fifth complement]]
+* [[7/6]] – its [[fourth complement]]
+* [[Gallery of just intervals]]
+[[Category:Second]]
+[[Category:Supermajor second]]
+[[Category:Over-7 intervals]]