Odim and udim: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Odim and udim are a pair of inversely related [[chord]]s of [[7-limit]] just intonation, [[5:6:7|1-6/5-7/5]] and [[30:35:42|1-7/6-7/5]] in any position and voicing. They may also be called the major and minor Huygens triads.  
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>2014-11-25 22:43:17 UTC</tt>.<br>
They belong to a rank three [[subgroup]] of the [[7-limit]], 2.5/3.7/3, and in some ways are analogous to the major and minor [[5-limit]] triads, which also belong to a rank-three subgroup of the 7-limit.  
: The original revision id was <tt>532726282</tt>.<br>
 
: The revision comment was: <tt></tt><br>
Analogous to [[zarlino]], the 5-limit "JI diatonic", is the [[tritriadic scale]] 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to [[meantone]] is [[Subgroup temperaments#Starlingtet|starlingtet]].
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>
[[Category:7-limit chords]]
<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">Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to [[zarlino]], the 5-limit "JI diatonic", is the tritriadic scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is [[Chromatic pairs#Starlingtet|starlingtet]].</pre></div>
[[Category:Tritriadic scales]]
<h4>Original HTML content:</h4>
{{todo|review|clarify}}
<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;Odim and udim&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to &lt;a class="wiki_link" href="/zarlino"&gt;zarlino&lt;/a&gt;, the 5-limit &amp;quot;JI diatonic&amp;quot;, is the tritriadic scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is &lt;a class="wiki_link" href="/Chromatic%20pairs#Starlingtet"&gt;starlingtet&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 13:48, 25 December 2025

Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing. They may also be called the major and minor Huygens triads.

They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit.

Analogous to zarlino, the 5-limit "JI diatonic", is the tritriadic scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is starlingtet.