Hemimage temperaments

Revision as of 17:10, 11 February 2012 by Wikispaces>genewardsmith (**Imported revision 300817490 - Original comment: **)

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This revision was by author genewardsmith and made on 2012-02-11 17:10:10 UTC.
The original revision id was 300817490.
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

Original HTML content:

<html><head><title>Hemimage temperaments</title></head><body><!-- ws:start:WikiTextTocRule:8:&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:8 --><!-- ws:start:WikiTextTocRule:9: --><a href="#Commatic">Commatic</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --> | <a href="#Chromat">Chromat</a><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: -->
<!-- ws:end:WikiTextTocRule:13 --><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</body></html>