Hemimage temperaments: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>genewardsmith
**Imported revision 339369064 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 490297950 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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>2012-05-24 23:51:13 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-02-18 15:17:27 UTC</tt>.<br>
: The original revision id was <tt>339369064</tt>.<br>
: The original revision id was <tt>490297950</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
Line 69: Line 69:
EDOs: 60e, 80, 140, 500be, 640be, 780be
EDOs: 60e, 80, 140, 500be, 640be, 780be
Badness: 0.0327
Badness: 0.0327
=Subfourth=
Commas: 10976/10935, 65536/64827
POTE generator: ~21/16 = 475.991
Map: [&lt;1 0 17 4|, &lt;0 4 -37 -3|]
EDOs: 58, 121, 179, 300bd, 479bcd
Badness: 0.1407
==11-limit==
Commas: 540/539, 896/891, 12005/11979
POTE generator: ~21/16 = 475.995
Map: [&lt;1 0 17 4 11|, &lt;0 4 -37 -3 -19|]
EDOs: 58, 121, 179e, 300bde
Badness: 0.0453
==13-limit==
Commas: 352/351, 364/363, 540/539, 676/675
POTE generator: ~21/16 = 475.996
Map: [&lt;1 0 17 4 11 16|, &lt;0 4 -37 -3 -19 -31|]
EDOs: 58, 121, 179ef, 300bdef
Badness: 0.0238




</pre></div>
</pre></div>
<h4>Original HTML content:</h4>
<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;Hemimage temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:14:&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:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;a href="#Commatic"&gt;Commatic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&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;a href="#Chromat"&gt;Chromat&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt; | &lt;a href="#Degrees"&gt;Degrees&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;
<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;Hemimage temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:20:&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:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;a href="#Commatic"&gt;Commatic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt; | &lt;a href="#Chromat"&gt;Chromat&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt; | &lt;a href="#Degrees"&gt;Degrees&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;!-- ws:start:WikiTextTocRule:26: --&gt;&lt;!-- ws:end:WikiTextTocRule:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt;&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt; | &lt;a href="#Subfourth"&gt;Subfourth&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt;&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;
&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Hemimage temperaments temper out the hemimage comma, |5 -7 -1 3&amp;gt; = 10976/10935.&lt;br /&gt;
Hemimage temperaments temper out the hemimage comma, |5 -7 -1 3&amp;gt; = 10976/10935.&lt;br /&gt;
Line 135: Line 164:
Map: [&amp;lt;20 0 -17 -39 -26 74|, &amp;lt;0 1 2 3 3 0|]&lt;br /&gt;
Map: [&amp;lt;20 0 -17 -39 -26 74|, &amp;lt;0 1 2 3 3 0|]&lt;br /&gt;
EDOs: 60e, 80, 140, 500be, 640be, 780be&lt;br /&gt;
EDOs: 60e, 80, 140, 500be, 640be, 780be&lt;br /&gt;
Badness: 0.0327&lt;/body&gt;&lt;/html&gt;</pre></div>
Badness: 0.0327&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Subfourth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Subfourth&lt;/h1&gt;
Commas: 10976/10935, 65536/64827&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/16 = 475.991&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 17 4|, &amp;lt;0 4 -37 -3|]&lt;br /&gt;
EDOs: 58, 121, 179, 300bd, 479bcd&lt;br /&gt;
Badness: 0.1407&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="Subfourth-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;11-limit&lt;/h2&gt;
Commas: 540/539, 896/891, 12005/11979&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/16 = 475.995&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 17 4 11|, &amp;lt;0 4 -37 -3 -19|]&lt;br /&gt;
EDOs: 58, 121, 179e, 300bde&lt;br /&gt;
Badness: 0.0453&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Subfourth-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;13-limit&lt;/h2&gt;
Commas: 352/351, 364/363, 540/539, 676/675&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/16 = 475.996&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 17 4 11 16|, &amp;lt;0 4 -37 -3 -19 -31|]&lt;br /&gt;
EDOs: 58, 121, 179ef, 300bdef&lt;br /&gt;
Badness: 0.0238&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 15:17, 18 February 2014

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2014-02-18 15:17:27 UTC.
The original revision id was 490297950.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

[[toc|flat]]


Hemimage temperaments temper out the hemimage comma, |5 -7 -1 3> = 10976/10935.

=Commatic=

==7-limit==
Commas: 10976/10935, 50421/50000

POTE generator: ~81/80 = 20.377

Map: [<2 3 4 5|, <0 5 19 18|]
Wedgie: <<10 38 36 37 29 -23||
EDOs: 58, 118, 294, 412d, 530d
Badness: 0.0843

==11-limit==
Commas: 441/440, 3388/3375, 8019/8000

POTE generator: ~81/80 = 20.390

Map: [<2 3 4 5 6|, <0 5 19 18 27|]
EDOs: 58, 118, 294, 412d
Badness: 0.0305

=Chromat=
Commas: 10976/10935, 235298/234375

POTE generator: ~28/27 = 60.528

Map: [<3 4 5 6|, <0 5 13 16|]
Wedgie: <<15 39 48 27 34 2||
EDOs: 60, 99, 258, 357, 456
Badness: 0.0575

=Degrees=
Commas: 10976/10935, 390625/388962

POTE generator: ~3/2 = 703.015

Map: [<20 0 -17 -39|, <0 1 2 3|]
Wedgie: <<20 40 60 17 39 27||
EDOs: 60, 80, 140, 640b, 780b, 920b
Badness: 0.1065

==11-limit==
Commas: 1331/1323, 1375/1372, 2200/2187

POTE generator: ~3/2 = 703.231

Map: [<20 0 -17 -39 -26|, <0 1 2 3 3|]
EDOs: 80, 140, 360, 500be, 860bde
Badness: 0.0468

==13-limit==
Commas: 325/324, 352/351, 1001/1000, 1331/1323

POTE generator: ~3/2 = 703.080

Map: [<20 0 -17 -39 -26 74|, <0 1 2 3 3 0|]
EDOs: 60e, 80, 140, 500be, 640be, 780be
Badness: 0.0327

=Subfourth=
Commas: 10976/10935, 65536/64827

POTE generator: ~21/16 = 475.991

Map: [<1 0 17 4|, <0 4 -37 -3|]
EDOs: 58, 121, 179, 300bd, 479bcd
Badness: 0.1407

==11-limit==
Commas: 540/539, 896/891, 12005/11979

POTE generator: ~21/16 = 475.995

Map: [<1 0 17 4 11|, <0 4 -37 -3 -19|]
EDOs: 58, 121, 179e, 300bde
Badness: 0.0453

==13-limit==
Commas: 352/351, 364/363, 540/539, 676/675

POTE generator: ~21/16 = 475.996

Map: [<1 0 17 4 11 16|, <0 4 -37 -3 -19 -31|]
EDOs: 58, 121, 179ef, 300bdef
Badness: 0.0238




Original HTML content:

<html><head><title>Hemimage temperaments</title></head><body><!-- ws:start:WikiTextTocRule:20:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><a href="#Commatic">Commatic</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Chromat">Chromat</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | <a href="#Degrees">Degrees</a><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --> | <a href="#Subfourth">Subfourth</a><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: -->
<!-- ws:end:WikiTextTocRule:31 --><br />
<br />
Hemimage temperaments temper out the hemimage comma, |5 -7 -1 3&gt; = 10976/10935.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Commatic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Commatic</h1>
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Commatic-7-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit</h2>
Commas: 10976/10935, 50421/50000<br />
<br />
POTE generator: ~81/80 = 20.377<br />
<br />
Map: [&lt;2 3 4 5|, &lt;0 5 19 18|]<br />
Wedgie: &lt;&lt;10 38 36 37 29 -23||<br />
EDOs: 58, 118, 294, 412d, 530d<br />
Badness: 0.0843<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Commatic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2>
Commas: 441/440, 3388/3375, 8019/8000<br />
<br />
POTE generator: ~81/80 = 20.390<br />
<br />
Map: [&lt;2 3 4 5 6|, &lt;0 5 19 18 27|]<br />
EDOs: 58, 118, 294, 412d<br />
Badness: 0.0305<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Chromat"></a><!-- ws:end:WikiTextHeadingRule:6 -->Chromat</h1>
Commas: 10976/10935, 235298/234375<br />
<br />
POTE generator: ~28/27 = 60.528<br />
<br />
Map: [&lt;3 4 5 6|, &lt;0 5 13 16|]<br />
Wedgie: &lt;&lt;15 39 48 27 34 2||<br />
EDOs: 60, 99, 258, 357, 456<br />
Badness: 0.0575<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Degrees"></a><!-- ws:end:WikiTextHeadingRule:8 -->Degrees</h1>
Commas: 10976/10935, 390625/388962<br />
<br />
POTE generator: ~3/2 = 703.015<br />
<br />
Map: [&lt;20 0 -17 -39|, &lt;0 1 2 3|]<br />
Wedgie: &lt;&lt;20 40 60 17 39 27||<br />
EDOs: 60, 80, 140, 640b, 780b, 920b<br />
Badness: 0.1065<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Degrees-11-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->11-limit</h2>
Commas: 1331/1323, 1375/1372, 2200/2187<br />
<br />
POTE generator: ~3/2 = 703.231<br />
<br />
Map: [&lt;20 0 -17 -39 -26|, &lt;0 1 2 3 3|]<br />
EDOs: 80, 140, 360, 500be, 860bde<br />
Badness: 0.0468<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Degrees-13-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-limit</h2>
Commas: 325/324, 352/351, 1001/1000, 1331/1323<br />
<br />
POTE generator: ~3/2 = 703.080<br />
<br />
Map: [&lt;20 0 -17 -39 -26 74|, &lt;0 1 2 3 3 0|]<br />
EDOs: 60e, 80, 140, 500be, 640be, 780be<br />
Badness: 0.0327<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Subfourth"></a><!-- ws:end:WikiTextHeadingRule:14 -->Subfourth</h1>
Commas: 10976/10935, 65536/64827<br />
<br />
POTE generator: ~21/16 = 475.991<br />
<br />
Map: [&lt;1 0 17 4|, &lt;0 4 -37 -3|]<br />
EDOs: 58, 121, 179, 300bd, 479bcd<br />
Badness: 0.1407<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Subfourth-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2>
Commas: 540/539, 896/891, 12005/11979<br />
<br />
POTE generator: ~21/16 = 475.995<br />
<br />
Map: [&lt;1 0 17 4 11|, &lt;0 4 -37 -3 -19|]<br />
EDOs: 58, 121, 179e, 300bde<br />
Badness: 0.0453<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Subfourth-13-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->13-limit</h2>
Commas: 352/351, 364/363, 540/539, 676/675<br />
<br />
POTE generator: ~21/16 = 475.996<br />
<br />
Map: [&lt;1 0 17 4 11 16|, &lt;0 4 -37 -3 -19 -31|]<br />
EDOs: 58, 121, 179ef, 300bdef<br />
Badness: 0.0238</body></html>