Nuwell family: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Technical data page}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
The '''nuwell family''' of [[rank-3 temperament]]s temper out the nuwell comma, [[2430/2401]].
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-22 13:05:51 UTC</tt>.<br>
: The original revision id was <tt>247706287</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">The nuwell family of [[planar temperament]]s temper out the nuwell comma, 2430/2401.


Comma: 2430/2401
== Nuwell ==
[[Subgroup]]: 2.3.5.7


Map: [&lt;1 0 3 1|, &lt;0 1 3 2|, &lt;0 0 -4 -1|]
[[Comma list]]: 2430/2401
EDOs: 9, 22, 31, 53, 84, 137
 
Badness: 0.000519
{{Mapping|legend=1| 1 0 3 1 | 0 1 3 2 | 0 0 -4 -1 }}
 
: mapping generators: ~2, ~3, ~18/7
 
{{Optimal ET sequence|legend=1| 9, 22, 31, 53, 84, 137 }}
 
[[Badness]]: 0.519 × 10<sup>-3</sup>


[[Projection pair]]: 5 2401/486 to 2.3.7
[[Projection pair]]: 5 2401/486 to 2.3.7


==Big Brother==
== Big brother ==
Commas: 99/98, 121/120
[[Subgroup]]: 2.3.5.7.11
 
[[Comma list]]: 99/98, 121/120
 
{{Mapping|legend=1| 1 0 3 1 3 | 0 1 3 2 2 | 0 0 -4 -1 -2 }}
 
{{Optimal ET sequence|legend=1| 8d, 9, 22, 31, 53 }}
 
[[Badness]]: 0.507 × 10<sup>-3</sup>
 
[[Projection pair]]s: 5 2401/486 11 98/9 to 2.3.7
 
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 66/65, 99/98, 121/120
 
Mapping: {{mapping| 1 0 3 1 3 1 | 0 1 3 2 2 0 | 0 0 -4 -1 -2 2 }}


Map: [&lt;1 0 3 1 3|, &lt;0 1 3 2 2|, &lt;0 0 -4 -1 -2|]
{{Optimal ET sequence|legend=1| 8d, 9, 22f, 31 }}
EDOs: 9, 22, 31, 53
Badness: 0.000507


Projection pairs: 5 2401/486 11 98/9 to 2.3.7</pre></div>
[[Category:Temperament families]]
<h4>Original HTML content:</h4>
[[Category:Pages with mostly numerical content]]
<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;Nuwell family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The nuwell family of &lt;a class="wiki_link" href="/planar%20temperament"&gt;planar temperament&lt;/a&gt;s temper out the nuwell comma, 2430/2401.&lt;br /&gt;
[[Category:Nuwell family| ]] <!-- main article -->
&lt;br /&gt;
[[Category:Rank 3]]
Comma: 2430/2401&lt;br /&gt;
[[Category:Nuwell]]
&lt;br /&gt;
Map: [&amp;lt;1 0 3 1|, &amp;lt;0 1 3 2|, &amp;lt;0 0 -4 -1|]&lt;br /&gt;
EDOs: 9, 22, 31, 53, 84, 137&lt;br /&gt;
Badness: 0.000519&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Projection%20pair"&gt;Projection pair&lt;/a&gt;: 5 2401/486 to 2.3.7&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Big Brother"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Big Brother&lt;/h2&gt;
Commas: 99/98, 121/120&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 3 1 3|, &amp;lt;0 1 3 2 2|, &amp;lt;0 0 -4 -1 -2|]&lt;br /&gt;
EDOs: 9, 22, 31, 53&lt;br /&gt;
Badness: 0.000507&lt;br /&gt;
&lt;br /&gt;
Projection pairs: 5 2401/486 11 98/9 to 2.3.7&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 00:33, 24 June 2025

This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.

The nuwell family of rank-3 temperaments temper out the nuwell comma, 2430/2401.

Nuwell

Subgroup: 2.3.5.7

Comma list: 2430/2401

Mapping: [⟨1 0 3 1], ⟨0 1 3 2], ⟨0 0 -4 -1]]

mapping generators: ~2, ~3, ~18/7

Optimal ET sequence: 9, 22, 31, 53, 84, 137

Badness: 0.519 × 10-3

Projection pair: 5 2401/486 to 2.3.7

Big brother

Subgroup: 2.3.5.7.11

Comma list: 99/98, 121/120

Mapping: [⟨1 0 3 1 3], ⟨0 1 3 2 2], ⟨0 0 -4 -1 -2]]

Optimal ET sequence: 8d, 9, 22, 31, 53

Badness: 0.507 × 10-3

Projection pairs: 5 2401/486 11 98/9 to 2.3.7

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 66/65, 99/98, 121/120

Mapping: [⟨1 0 3 1 3 1], ⟨0 1 3 2 2 0], ⟨0 0 -4 -1 -2 2]]

Optimal ET sequence: 8d, 9, 22f, 31

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