Wesley family: Difference between revisions

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**Imported revision 327549118 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This tempers out the wesley comma, 78125/73728. The wesley comma is unchanged in Wesley Woolhouse's 7/26-comma meantone--it is an eigenmonzo, in other words. More information on that can be found [http://tech.groups.yahoo.com/group/tuning-math/message/12793 here].
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>2012-04-30 14:50:03 UTC</tt>.<br>
: The original revision id was <tt>327549118</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">This tempers out the wesley comma, 78125/73728. The wesley comma is unchanged in Wesley Woolhouse's 7/26-comma meantone--it is an eigenmonzo, in other words. More information on that can be found [[http://tech.groups.yahoo.com/group/tuning-math/message/12793|here]].


=Wesley=
=Wesley=
Line 14: Line 7:


Map: [&lt;1 4 3|, &lt;0 -7 -2|]
Map: [&lt;1 4 3|, &lt;0 -7 -2|]
EDOs: 23, 26, 29, 55c
EDOs: 23, 26, 29, 55c
Badness: 0.2477
Badness: 0.2477


Line 23: Line 18:


Map: [&lt;1 4 3 8|, &lt;0 -7 -2 -15|]
Map: [&lt;1 4 3 8|, &lt;0 -7 -2 -15|]
Wedgie: &lt;&lt;7 2 15 -13 4 29||
Wedgie: &lt;&lt;7 2 15 -13 4 29||
EDOs: 26
EDOs: 26
Badness: 0.0953
Badness: 0.0953


Line 33: Line 31:


Map: [&lt;1 4 3 8 9|, &lt;0 -7 -2 -15 -16|]
Map: [&lt;1 4 3 8 9|, &lt;0 -7 -2 -15 -16|]
EDOs: 23de, 26, 75bcd
EDOs: 23de, 26, 75bcd
Badness: 0.0491
Badness: 0.0491


Line 42: Line 42:


Map: [&lt;1 4 3 8 9 12|, &lt;0 -7 -2 -15 -16 -24|]
Map: [&lt;1 4 3 8 9 12|, &lt;0 -7 -2 -15 -16 -24|]
EDOs: 26
EDOs: 26
Badness: 0.0384
Badness: 0.0384


Line 51: Line 53:


Map: [&lt;1 4 3 9|, &lt;0 -7 -2 -18|]
Map: [&lt;1 4 3 9|, &lt;0 -7 -2 -18|]
Wedgie: &lt;&lt;7 2 18 -13 9 36||
Wedgie: &lt;&lt;7 2 18 -13 9 36||
EDOs: 29, 90cd, 119cd
EDOs: 29, 90cd, 119cd
Badness: 0.1179
Badness: 0.1179


Line 61: Line 66:


Map: [&lt;1 4 3 -1|, &lt;0 -7 -2 11|]
Map: [&lt;1 4 3 -1|, &lt;0 -7 -2 11|]
Wedgie: &lt;&lt;7 2 -11 -13 -37 -31||
Wedgie: &lt;&lt;7 2 -11 -13 -37 -31||
EDOs: 23, 26, 29, 55c
EDOs: 23, 26, 29, 55c
Badness: 0.1134
Badness: 0.1134


Line 71: Line 79:


Map: [&lt;2 1 4 5|, &lt;0 7 2 2|]
Map: [&lt;2 1 4 5|, &lt;0 7 2 2|]
Wedgie: &lt;&lt;14 4 4 -26 -33 -2||
Wedgie: &lt;&lt;14 4 4 -26 -33 -2||
EDOs: 6, 26, 58c, 84c
EDOs: 6, 26, 58c, 84c
Badness: 0.1817
Badness: 0.1817


Line 81: Line 92:


Map: [&lt;2 1 4 5 6|, &lt;0 7 2 2 3|]
Map: [&lt;2 1 4 5 6|, &lt;0 7 2 2 3|]
EDOs: 6, 26, 58c, 84c
EDOs: 6, 26, 58c, 84c
Badness: 0.0758
Badness: 0.0758


Line 90: Line 103:


Map: [&lt;2 1 4 5 6 4|, &lt;0 7 2 2 3 11|]
Map: [&lt;2 1 4 5 6 4|, &lt;0 7 2 2 3 11|]
EDOs: 26, 58c, 84c
EDOs: 26, 58c, 84c
Badness: 0.0496
Badness: 0.0496
</pre></div>
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Wesley family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This tempers out the wesley comma, 78125/73728. The wesley comma is unchanged in Wesley Woolhouse's 7/26-comma meantone--it is an eigenmonzo, in other words. More information on that can be found &lt;a class="wiki_link_ext" href="http://tech.groups.yahoo.com/group/tuning-math/message/12793" rel="nofollow"&gt;here&lt;/a&gt;.&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="Wesley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Wesley&lt;/h1&gt;
Comma: 78125/73728&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~125/96 = 414.509&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 4 3|, &amp;lt;0 -7 -2|]&lt;br /&gt;
EDOs: 23, 26, 29, 55c&lt;br /&gt;
Badness: 0.2477&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Wesley-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;7-limit&lt;/h2&gt;
Commas: 405/392, 875/864&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 415.519&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 4 3 8|, &amp;lt;0 -7 -2 -15|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;7 2 15 -13 4 29||&lt;br /&gt;
EDOs: 26&lt;br /&gt;
Badness: 0.0953&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Wesley-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;11-limit&lt;/h2&gt;
Commas: 45/44, 99/98, 875/864&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 415.769&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 4 3 8 9|, &amp;lt;0 -7 -2 -15 -16|]&lt;br /&gt;
EDOs: 23de, 26, 75bcd&lt;br /&gt;
Badness: 0.0491&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Wesley-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;13-limit&lt;/h2&gt;
Commas: 45/44, 78/77, 99/98, 325/324&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 415.645&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 4 3 8 9 12|, &amp;lt;0 -7 -2 -15 -16 -24|]&lt;br /&gt;
EDOs: 26&lt;br /&gt;
Badness: 0.0384&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Wesley-Snipes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Snipes&lt;/h2&gt;
Commas: 225/224, 6125/5832&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~35/27 = 413.513&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 4 3 9|, &amp;lt;0 -7 -2 -18|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;7 2 18 -13 9 36||&lt;br /&gt;
EDOs: 29, 90cd, 119cd&lt;br /&gt;
Badness: 0.1179&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Wesley-Crusher"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Crusher&lt;/h2&gt;
Commas: 525/512, 3125/3024&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~63/50 = 414.552&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 4 3 -1|, &amp;lt;0 -7 -2 11|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;7 2 -11 -13 -37 -31||&lt;br /&gt;
EDOs: 23, 26, 29, 55c&lt;br /&gt;
Badness: 0.1134&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Dubbla"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Dubbla&lt;/h1&gt;
Commas: 50/49, 78125/73728&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~192/175 = 185.738&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 4 5|, &amp;lt;0 7 2 2|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;14 4 4 -26 -33 -2||&lt;br /&gt;
EDOs: 6, 26, 58c, 84c&lt;br /&gt;
Badness: 0.1817&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Dubbla-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;11-limit&lt;/h2&gt;
Commas: 50/49, 125/121, 1344/1331&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/10 = 185.879&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 4 5 6|, &amp;lt;0 7 2 2 3|]&lt;br /&gt;
EDOs: 6, 26, 58c, 84c&lt;br /&gt;
Badness: 0.0758&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Dubbla-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;13-limit&lt;/h2&gt;
Commas: 50/49, 105/104, 125/121, 144/143&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/10 = 185.702&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 4 5 6 4|, &amp;lt;0 7 2 2 3 11|]&lt;br /&gt;
EDOs: 26, 58c, 84c&lt;br /&gt;
Badness: 0.0496&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

This tempers out the wesley comma, 78125/73728. The wesley comma is unchanged in Wesley Woolhouse's 7/26-comma meantone--it is an eigenmonzo, in other words. More information on that can be found here.

Wesley

Comma: 78125/73728

POTE generator: ~125/96 = 414.509

Map: [<1 4 3|, <0 -7 -2|]

EDOs: 23, 26, 29, 55c

Badness: 0.2477

7-limit

Commas: 405/392, 875/864

POTE generator: ~9/7 = 415.519

Map: [<1 4 3 8|, <0 -7 -2 -15|]

Wedgie: <<7 2 15 -13 4 29||

EDOs: 26

Badness: 0.0953

11-limit

Commas: 45/44, 99/98, 875/864

POTE generator: ~9/7 = 415.769

Map: [<1 4 3 8 9|, <0 -7 -2 -15 -16|]

EDOs: 23de, 26, 75bcd

Badness: 0.0491

13-limit

Commas: 45/44, 78/77, 99/98, 325/324

POTE generator: ~9/7 = 415.645

Map: [<1 4 3 8 9 12|, <0 -7 -2 -15 -16 -24|]

EDOs: 26

Badness: 0.0384

Snipes

Commas: 225/224, 6125/5832

POTE generator: ~35/27 = 413.513

Map: [<1 4 3 9|, <0 -7 -2 -18|]

Wedgie: <<7 2 18 -13 9 36||

EDOs: 29, 90cd, 119cd

Badness: 0.1179

Crusher

Commas: 525/512, 3125/3024

POTE generator: ~63/50 = 414.552

Map: [<1 4 3 -1|, <0 -7 -2 11|]

Wedgie: <<7 2 -11 -13 -37 -31||

EDOs: 23, 26, 29, 55c

Badness: 0.1134

Dubbla

Commas: 50/49, 78125/73728

POTE generator: ~192/175 = 185.738

Map: [<2 1 4 5|, <0 7 2 2|]

Wedgie: <<14 4 4 -26 -33 -2||

EDOs: 6, 26, 58c, 84c

Badness: 0.1817

11-limit

Commas: 50/49, 125/121, 1344/1331

POTE generator: ~11/10 = 185.879

Map: [<2 1 4 5 6|, <0 7 2 2 3|]

EDOs: 6, 26, 58c, 84c

Badness: 0.0758

13-limit

Commas: 50/49, 105/104, 125/121, 144/143

POTE generator: ~11/10 = 185.702

Map: [<2 1 4 5 6 4|, <0 7 2 2 3 11|]

EDOs: 26, 58c, 84c

Badness: 0.0496

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