40/21: Difference between revisions

Wikispaces>spt3125
**Imported revision 513546128 - Original comment: **
 
Rewrite. De-highlight "septimal diminished octave" as major sources agree this is a major seventh
 
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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 = septimal acute major seventh, aberschismic major seventh
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-10 21:40:06 UTC</tt>.<br>
| Color name = ry7, ruyo 7th
: The original revision id was <tt>513546128</tt>.<br>
| Sound = jid_40_21_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>
'''40/21''', conventionally known as the '''septimal acute major seventh''', is an interval in [[7-limit]] [[just intonation]] measuring about 1115.5 [[cent]]s. Despite being approximated by the diminished octave in systems like septimal [[meantone]], and even being called the ''septimal diminished octave'' by some musicians due to analogy with [[21/20]] being called the "septimal chromatic semitone", 40/21 functions as a major seventh, as is supported by [[Sagittal notation]], [[Helmholtz–Ellis notation]] and [[Functional Just System]], viewed as the [[243/128|Pythagorean major seventh (243/128)]] altered by an [[aberschisma]]. This gives rise to the more precise name '''aberschismic major seventh'''.
<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">**40/21**
== Approximation ==  
|3 -1 1 -1&gt;
{{Interval edo approximation|40/21}}
1115.5328 cents
 
[[media type="file" key="jid_40_21_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_40_21_pluck_adu_dr220.mp3|sound sample]]
== See also ==
</pre></div>
* [[21/20]] – its [[octave complement]]
<h4>Original HTML content:</h4>
* [[Gallery of just intervals]]
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|3 -1 1 -1&amp;gt;&lt;br /&gt;
[[Category:Seventh]]
1115.5328 cents&lt;br /&gt;
[[Category:Major seventh]]
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