Cuthbert chords: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The '''cuthbert triad''' is an [[Dyadic_chord|essentially tempered dyadic triad]] which consists of two [[13/11|13/11]] thirds making up a [[7/5|7/5]], which implies tempering by [[cuthbert|cuthbert]], the [[847/845|847/845]] comma. It is, in other words, the 847/845-tempered version of 1-13/11-7/5. The cuthbert triad can be extended to the [[garibert_tetrad|garibert tetrad]], which is the {275/273, 847/845} garibert tempering of a tetrad with steps of size 13/11-13/11-13/11-[[6/5|6/5]], leading to a garibert tempering of 1-13/11-7/5-[[5/3|5/3]]. Equal temperaments with cuthbert triads include [[29edo|29edo]], [[33edo|33edo]], [[37edo|37edo]], [[41edo|41edo]], [[46edo|46edo]], [[50edo|50edo]], [[53edo|53edo]], [[58edo|58edo]], [[70edo|70edo]], [[87edo|87edo]], [[94edo|94edo]], [[99edo|99edo]], [[103edo|103edo]], [[111edo|111edo]], [[128edo|128edo]], [[140edo|140edo]], [[149edo|149edo]], [[177edo|177edo]], [[190edo|190edo]], 198, 205, 227, 264, 284 and 388. Equal temperaments with garibert tetrads include 41, 53, and 94; and it is a characteristic chord of [[13-limit|13-limit]] [[Schismatic_family#Garibaldi|garibaldi temperament]].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
[[Category:13-limit]]
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-07 15:40:23 UTC</tt>.<br>
[[Category:chord]]
: The original revision id was <tt>283424630</tt>.<br>
[[Category:cuthbert]]
: The revision comment was: <tt></tt><br>
[[Category:dyadic]]
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
[[Category:garibaldi]]
<h4>Original Wikitext content:</h4>
[[Category:garibert]]
<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">The **cuthbert triad** is an [[dyadic chord|essentially tempered dyadic triad]] which consists of two [[13_11|13/11]] thirds making up a [[7_5|7/5]], which implies tempering by [[cuthbert]], the [[847_845|847/845]] comma. It is, in other words, the 847/845-tempered version of 1-13/11-7/5. The cuthbert triad can be extended to the [[garibert tetrad]], which is the {275/273, 847/845} garibert tempering of a tetrad with steps of size 13/11-13/11-13/11-[[6_5|6/5]], leading to a garibert tempering of 1-13/11-7/5-[[5_3|5/3]]. Equal temperaments with cuthbert triads include [[29edo]], [[33edo]], [[37edo]], [[41edo]], [[46edo]], [[50edo]], [[53edo]], [[58edo]], [[70edo]], [[87edo]], [[94edo]], [[99edo]], [[103edo]], [[111edo]], [[128edo]], [[140edo]], [[149edo]], [[177edo]], [[190edo]], 198, 205, 227, 264, 284 and 388. Equal temperaments with garibert tetrads include 41, 53, and 94; and it is a characteristic chord of [[13-limit]] [[Schismatic family#Garibaldi|garibaldi temperament]].</pre></div>
[[Category:gassorma]]
<h4>Original HTML content:</h4>
[[Category:triad]]
<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;cuthbert triad&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;strong&gt;cuthbert triad&lt;/strong&gt; is an &lt;a class="wiki_link" href="/dyadic%20chord"&gt;essentially tempered dyadic triad&lt;/a&gt; which consists of two &lt;a class="wiki_link" href="/13_11"&gt;13/11&lt;/a&gt; thirds making up a &lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt;, which implies tempering by &lt;a class="wiki_link" href="/cuthbert"&gt;cuthbert&lt;/a&gt;, the &lt;a class="wiki_link" href="/847_845"&gt;847/845&lt;/a&gt; comma. It is, in other words, the 847/845-tempered version of 1-13/11-7/5. The cuthbert triad can be extended to the &lt;a class="wiki_link" href="/garibert%20tetrad"&gt;garibert tetrad&lt;/a&gt;, which is the {275/273, 847/845} garibert tempering of a tetrad with steps of size 13/11-13/11-13/11-&lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt;, leading to a garibert tempering of 1-13/11-7/5-&lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt;. Equal temperaments with cuthbert triads include &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;, &lt;a class="wiki_link" href="/33edo"&gt;33edo&lt;/a&gt;, &lt;a class="wiki_link" href="/37edo"&gt;37edo&lt;/a&gt;, &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;, &lt;a class="wiki_link" href="/50edo"&gt;50edo&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;, &lt;a class="wiki_link" href="/58edo"&gt;58edo&lt;/a&gt;, &lt;a class="wiki_link" href="/70edo"&gt;70edo&lt;/a&gt;, &lt;a class="wiki_link" href="/87edo"&gt;87edo&lt;/a&gt;, &lt;a class="wiki_link" href="/94edo"&gt;94edo&lt;/a&gt;, &lt;a class="wiki_link" href="/99edo"&gt;99edo&lt;/a&gt;, &lt;a class="wiki_link" href="/103edo"&gt;103edo&lt;/a&gt;, &lt;a class="wiki_link" href="/111edo"&gt;111edo&lt;/a&gt;, &lt;a class="wiki_link" href="/128edo"&gt;128edo&lt;/a&gt;, &lt;a class="wiki_link" href="/140edo"&gt;140edo&lt;/a&gt;, &lt;a class="wiki_link" href="/149edo"&gt;149edo&lt;/a&gt;, &lt;a class="wiki_link" href="/177edo"&gt;177edo&lt;/a&gt;, &lt;a class="wiki_link" href="/190edo"&gt;190edo&lt;/a&gt;, 198, 205, 227, 264, 284 and 388. Equal temperaments with garibert tetrads include 41, 53, and 94; and it is a characteristic chord of &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Schismatic%20family#Garibaldi"&gt;garibaldi temperament&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The cuthbert triad is an essentially tempered dyadic triad which consists of two 13/11 thirds making up a 7/5, which implies tempering by cuthbert, the 847/845 comma. It is, in other words, the 847/845-tempered version of 1-13/11-7/5. The cuthbert triad can be extended to the garibert tetrad, which is the {275/273, 847/845} garibert tempering of a tetrad with steps of size 13/11-13/11-13/11-6/5, leading to a garibert tempering of 1-13/11-7/5-5/3. Equal temperaments with cuthbert triads include 29edo, 33edo, 37edo, 41edo, 46edo, 50edo, 53edo, 58edo, 70edo, 87edo, 94edo, 99edo, 103edo, 111edo, 128edo, 140edo, 149edo, 177edo, 190edo, 198, 205, 227, 264, 284 and 388. Equal temperaments with garibert tetrads include 41, 53, and 94; and it is a characteristic chord of 13-limit garibaldi temperament.