2/7-comma meantone: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]]) – that is, to about 695.81 [[cents]]. It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] sharply and [[69edo]] flatly, and near perfectly by [[119edo]] using the b val flat 5th.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-30 20:51:19 UTC</tt>.<br>
: The original revision id was <tt>260397316</tt>.<br>
: 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 2/7-comma meantone, the JI fifth of 3/2 is flattened by 2/7 of a syntonic comma (81/80.) It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may also be described as the regular tuning which tempers out 81/80 and tunes 2 and 25/24 purely.


[[http://www.tonalsoft.com/enc/number/2-7cmt.aspx|Tonalsoft article on 2/7 comma meantone]]</pre></div>
== Tuning profile ==
<h4>Original HTML content:</h4>
[[Projection map]]:  
<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;2-7 Syntonic Comma Meantone&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In 2/7-comma meantone, the JI fifth of 3/2 is flattened by 2/7 of a syntonic comma (81/80.) It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may also be described as the regular tuning which tempers out 81/80 and tunes 2 and 25/24 purely.&lt;br /&gt;
 
&lt;br /&gt;
{| class="right-all"
&lt;a class="wiki_link_ext" href="http://www.tonalsoft.com/enc/number/2-7cmt.aspx" rel="nofollow"&gt;Tonalsoft article on 2/7 comma meantone&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
|-
| [⟨ || 1 || 8/7 || 4/7 || -11/7 || ]
|-
| ⟨ || 0 || -1/7 || -4/7 || -10/7 || ]
|-
| ⟨ || 0 || 2/7 || 8/7 || 20/7 || ]
|-
| ⟨ || 0 || 0 || 0 || 0 || ]]
|}
 
[[Tuning map]]: {{val| 1200 1895.8103 2783.2414 3358.1035 }}
 
[[Error map]]: {{val| 0 -6.1447 -3.0723 -10.7224 }}
 
== Music ==
; [[Juhani Nuorvala]]
* [https://www.youtube.com/watch?v=kus7w1O6pCw ''Ten Chords from a Piece by Feldman''] (2025)
 
== See also ==
* [http://www.tonalsoft.com/enc/number/2-7cmt.aspx Tonalsoft Encyclopedia | ''2/7-comma meantone'']
 
[[Category:Meantone]]
[[Category:Historical]]