Semaphoresmic family

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Revision as of 22:31, 24 January 2011 by Wikispaces>genewardsmith (**Imported revision 195747616 - Original comment: **)
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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 2011-01-24 22:31:01 UTC.
The original revision id was 195747616.
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:

Semaphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6, and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like "semi-fourth". The name [[meantone family|"godzilla"]] identifies a rank two temperament formerly sometimes called "semaphore", for the same reason.

Comma: 49/48

Lattice basis: 3/2 1.525 5/4 2.322
Angle(3/2, 5/4) = 90 degrees
Map to lattice: 


Map: [<1 0 2 2|, <0 2 0 1|, <0 0 1 0|]
EDOs: 4, 5, 9, 10, 15, 19
Badness: 0.000116

Original HTML content:

<html><head><title>Semiphore family</title></head><body>Semaphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6, and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like &quot;semi-fourth&quot;. The name <a class="wiki_link" href="/meantone%20family">&quot;godzilla&quot;</a> identifies a rank two temperament formerly sometimes called &quot;semaphore&quot;, for the same reason.<br />
<br />
Comma: 49/48<br />
<br />
Lattice basis: 3/2 1.525 5/4 2.322<br />
Angle(3/2, 5/4) = 90 degrees<br />
Map to lattice: <br />
<br />
<br />
Map: [&lt;1 0 2 2|, &lt;0 2 0 1|, &lt;0 0 1 0|]<br />
EDOs: 4, 5, 9, 10, 15, 19<br />
Badness: 0.000116</body></html>