Greenwoodmic temperaments: 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>2012-02-08 14:57:02 UTC</tt>.<br>
: The original revision id was <tt>299835366</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]]
 
These temper out the greenwoodma, |-3 4 1 -2&gt; = 405/392.
These temper out the greenwoodma, |-3 4 1 -2&gt; = 405/392.


Line 16: Line 8:


Map: [&lt;7 11 1 12|, &lt;0 0 2 1|]
Map: [&lt;7 11 1 12|, &lt;0 0 2 1|]
Wedgie: &lt;&lt;0 14 7 22 11 -23||
Wedgie: &lt;&lt;0 14 7 22 11 -23||
EDOs: 14c, 21, 35, 84bcd
EDOs: 14c, 21, 35, 84bcd
Badness: 0.1218
Badness: 0.1218


Line 26: Line 21:


Map: [&lt;7 11 1 12 9|, &lt;0 0 2 1 2|]
Map: [&lt;7 11 1 12 9|, &lt;0 0 2 1 2|]
EDOs: 14c, 21, 35, 49bcde, 84bcde
EDOs: 14c, 21, 35, 49bcde, 84bcde
Badness: 0.0575
Badness: 0.0575


Line 35: Line 32:


Map: [&lt;7 11 1 12 9 26|, &lt;0 0 2 1 2 0|]
Map: [&lt;7 11 1 12 9 26|, &lt;0 0 2 1 2 0|]
EDOs: 14c, 21, 35, 91bf
EDOs: 14c, 21, 35, 91bf
Badness: 0.0540
Badness: 0.0540


Line 44: Line 43:


Map: [&lt;1 1 3 2|, &lt;0 5 -6 7|]
Map: [&lt;1 1 3 2|, &lt;0 5 -6 7|]
Wedgie: &lt;&lt;5 -6 7 -21 -3 33||
Wedgie: &lt;&lt;5 -6 7 -21 -3 33||
EDOs: 9, 17, 26, 61bc, 87bc
EDOs: 9, 17, 26, 61bc, 87bc
Badness: 0.0898
Badness: 0.0898


Line 54: Line 56:


Map: [&lt;1 1 3 2 3|, &lt;0 5 -6 7 4|]
Map: [&lt;1 1 3 2 3|, &lt;0 5 -6 7 4|]
EDOs: 9, 17, 26, 61bc, 87bc
EDOs: 9, 17, 26, 61bc, 87bc
Badness: 0.0426
Badness: 0.0426


Line 63: Line 67:


Map: [&lt;1 1 3 2 3 2|, &lt;0 5 -6 7 4 15|]
Map: [&lt;1 1 3 2 3 2|, &lt;0 5 -6 7 4 15|]
EDOs: 9, 26f, 35
EDOs: 9, 26f, 35
Badness: 0.0497
Badness: 0.0497
</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;Greenwoodmic temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:12:&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:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;a href="#Greenwood"&gt;Greenwood&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt; | &lt;a href="#Secund"&gt;Secund&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;
&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;br /&gt;
These temper out the greenwoodma, |-3 4 1 -2&amp;gt; = 405/392.&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="Greenwood"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Greenwood&lt;/h1&gt;
Commas: 405/392, 1323/1280&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 241.490&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;7 11 1 12|, &amp;lt;0 0 2 1|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;0 14 7 22 11 -23||&lt;br /&gt;
EDOs: 14c, 21, 35, 84bcd&lt;br /&gt;
Badness: 0.1218&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="Greenwood-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit&lt;/h2&gt;
Commas: 45/44, 99/98, 1323/1280&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 242.711&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;7 11 1 12 9|, &amp;lt;0 0 2 1 2|]&lt;br /&gt;
EDOs: 14c, 21, 35, 49bcde, 84bcde&lt;br /&gt;
Badness: 0.0575&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="Greenwood-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;13-limit&lt;/h2&gt;
Commas: 27/26, 45/44, 99/98, 640/637&lt;br /&gt;
&lt;br /&gt;
POTE generaor: ~8/7 = 238.607&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;7 11 1 12 9 26|, &amp;lt;0 0 2 1 2 0|]&lt;br /&gt;
EDOs: 14c, 21, 35, 91bf&lt;br /&gt;
Badness: 0.0540&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Secund"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Secund&lt;/h1&gt;
Commas: 405/392, 525/512&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~16/15 = 137.958&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 2|, &amp;lt;0 5 -6 7|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;5 -6 7 -21 -3 33||&lt;br /&gt;
EDOs: 9, 17, 26, 61bc, 87bc&lt;br /&gt;
Badness: 0.0898&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="Secund-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;11-limit&lt;/h2&gt;
Commas: 45/44, 99/98, 385/384&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~12/11 = 137.900&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 2 3|, &amp;lt;0 5 -6 7 4|]&lt;br /&gt;
EDOs: 9, 17, 26, 61bc, 87bc&lt;br /&gt;
Badness: 0.0426&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="Secund-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;13-limit&lt;/h2&gt;
Commas: 27/26, 45/44, 99/98, 385/384&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~12/11 = 136.937&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 2 3 2|, &amp;lt;0 5 -6 7 4 15|]&lt;br /&gt;
EDOs: 9, 26f, 35&lt;br /&gt;
Badness: 0.0497&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

These temper out the greenwoodma, |-3 4 1 -2> = 405/392.

Greenwood

Commas: 405/392, 1323/1280

POTE generator: ~8/7 = 241.490

Map: [<7 11 1 12|, <0 0 2 1|]

Wedgie: <<0 14 7 22 11 -23||

EDOs: 14c, 21, 35, 84bcd

Badness: 0.1218

11-limit

Commas: 45/44, 99/98, 1323/1280

POTE generator: ~8/7 = 242.711

Map: [<7 11 1 12 9|, <0 0 2 1 2|]

EDOs: 14c, 21, 35, 49bcde, 84bcde

Badness: 0.0575

13-limit

Commas: 27/26, 45/44, 99/98, 640/637

POTE generaor: ~8/7 = 238.607

Map: [<7 11 1 12 9 26|, <0 0 2 1 2 0|]

EDOs: 14c, 21, 35, 91bf

Badness: 0.0540

Secund

Commas: 405/392, 525/512

POTE generator: ~16/15 = 137.958

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

Wedgie: <<5 -6 7 -21 -3 33||

EDOs: 9, 17, 26, 61bc, 87bc

Badness: 0.0898

11-limit

Commas: 45/44, 99/98, 385/384

POTE generator: ~12/11 = 137.900

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

EDOs: 9, 17, 26, 61bc, 87bc

Badness: 0.0426

13-limit

Commas: 27/26, 45/44, 99/98, 385/384

POTE generator: ~12/11 = 136.937

Map: [<1 1 3 2 3 2|, <0 5 -6 7 4 15|]

EDOs: 9, 26f, 35

Badness: 0.0497

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