Landscape family: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
__FORCETOC__
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>2014-05-03 19:50:57 UTC</tt>.<br>
: The original revision id was <tt>506253498</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">[[toc|flat]]
 
The landscape family of rank three temperaments tempers out the landscape comma, 250047/250000.
The landscape family of rank three temperaments tempers out the landscape comma, 250047/250000.


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7-limit minimax tuning
7-limit minimax tuning
[|9 0 0 0&gt;, |4 3 6 -3&gt;, |0 0 9 0&gt;, |4 -6 6 6&gt;]/9
[|9 0 0 0&gt;, |4 3 6 -3&gt;, |0 0 9 0&gt;, |4 -6 6 6&gt;]/9
Eigenmonzos: 7/6, 5/4
Eigenmonzos: 7/6, 5/4


9-limit minimax tuning
9-limit minimax tuning
[|12 0 0 0&gt;, |4 6 6 -3&gt;, |0 0 12 0&gt;, |8 -12 12 6&gt;]/12
[|12 0 0 0&gt;, |4 6 6 -3&gt;, |0 0 12 0&gt;, |8 -12 12 6&gt;]/12
Eigenmonzos: 5/4, 9/7
Eigenmonzos: 5/4, 9/7


Map: [&lt;3 0 0 4|, &lt;0 1 0 -2|, &lt;0 0 1 2|]
Map: [&lt;3 0 0 4|, &lt;0 1 0 -2|, &lt;0 0 1 2|]
Generators: 63/50, 3, 5
Generators: 63/50, 3, 5
EDOs: 3, 12, 27, 45, 57, 60, 72, 99, 171, 441, 612, 1236, 1407, 1578, 1848, 2019, 6498, 8346, 8517, 10536, 12555
EDOs: 3, 12, 27, 45, 57, 60, 72, 99, 171, 441, 612, 1236, 1407, 1578, 1848, 2019, 6498, 8346, 8517, 10536, 12555
10^5*Badness: 2.130
10^5*Badness: 2.130


=[[Kalismic temperaments#Odin|Odin]]=
=[[Kalismic_temperaments#Odin|Odin]]=


=[[Lehmerismic temperaments#Tyr|Tyr]]=</pre></div>
=[[Lehmerismic_temperaments#Tyr|Tyr]]=
<h4>Original HTML content:</h4>
[[Category:family]]
<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;Landscape family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:6:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:6 --&gt;&lt;!-- ws:start:WikiTextTocRule:7: --&gt;&lt;a href="#Landscape"&gt;Landscape&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;!-- ws:start:WikiTextTocRule:8: --&gt; | &lt;a href="#Odin"&gt;Odin&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt; | &lt;a href="#Tyr"&gt;Tyr&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;
[[Category:landscape]]
&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;br /&gt;
[[Category:temperament_family]]
The landscape family of rank three temperaments tempers out the landscape comma, 250047/250000.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Landscape"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Landscape&lt;/h1&gt;
Comma: 250047/250000&lt;br /&gt;
&lt;br /&gt;
7-limit minimax tuning&lt;br /&gt;
[|9 0 0 0&amp;gt;, |4 3 6 -3&amp;gt;, |0 0 9 0&amp;gt;, |4 -6 6 6&amp;gt;]/9&lt;br /&gt;
Eigenmonzos: 7/6, 5/4&lt;br /&gt;
&lt;br /&gt;
9-limit minimax tuning&lt;br /&gt;
[|12 0 0 0&amp;gt;, |4 6 6 -3&amp;gt;, |0 0 12 0&amp;gt;, |8 -12 12 6&amp;gt;]/12&lt;br /&gt;
Eigenmonzos: 5/4, 9/7&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;3 0 0 4|, &amp;lt;0 1 0 -2|, &amp;lt;0 0 1 2|]&lt;br /&gt;
Generators: 63/50, 3, 5&lt;br /&gt;
EDOs: 3, 12, 27, 45, 57, 60, 72, 99, 171, 441, 612, 1236, 1407, 1578, 1848, 2019, 6498, 8346, 8517, 10536, 12555&lt;br /&gt;
10^5*Badness: 2.130&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Odin"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;a class="wiki_link" href="/Kalismic%20temperaments#Odin"&gt;Odin&lt;/a&gt;&lt;/h1&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Tyr"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;a class="wiki_link" href="/Lehmerismic%20temperaments#Tyr"&gt;Tyr&lt;/a&gt;&lt;/h1&gt;
&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The landscape family of rank three temperaments tempers out the landscape comma, 250047/250000.

Landscape

Comma: 250047/250000

7-limit minimax tuning

[|9 0 0 0>, |4 3 6 -3>, |0 0 9 0>, |4 -6 6 6>]/9

Eigenmonzos: 7/6, 5/4

9-limit minimax tuning

[|12 0 0 0>, |4 6 6 -3>, |0 0 12 0>, |8 -12 12 6>]/12

Eigenmonzos: 5/4, 9/7

Map: [<3 0 0 4|, <0 1 0 -2|, <0 0 1 2|]

Generators: 63/50, 3, 5

EDOs: 3, 12, 27, 45, 57, 60, 72, 99, 171, 441, 612, 1236, 1407, 1578, 1848, 2019, 6498, 8346, 8517, 10536, 12555

10^5*Badness: 2.130

Odin

Tyr

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