Jubilismic family: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 165788395 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 165789245 - Original comment: ** |
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<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>2010-09-27 15: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-27 15:37:50 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>165789245</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> | ||
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[|1 0 0 0>, |0 1 0 0>, |-1/4 0 1/2 1/2>, | [|1 0 0 0>, |0 1 0 0>, |-1/4 0 1/2 1/2>, | ||
|1/4 0 1/2 1/2>] | |1/4 0 1/2 1/2>] | ||
Eigenmonzos: | Eigenmonzos: 2, 3/2, 35/32 | ||
Map: [<2 0 0 1|, <0 1 0 0|, <0 0 1 1|] | Map: [<2 0 0 1|, <0 1 0 0|, <0 0 1 1|] | ||
| Line 28: | Line 28: | ||
[|1 0 0 0&gt;, |0 1 0 0&gt;, |-1/4 0 1/2 1/2&gt;, <br /> | [|1 0 0 0&gt;, |0 1 0 0&gt;, |-1/4 0 1/2 1/2&gt;, <br /> | ||
|1/4 0 1/2 1/2&gt;]<br /> | |1/4 0 1/2 1/2&gt;]<br /> | ||
Eigenmonzos: | Eigenmonzos: 2, 3/2, 35/32<br /> | ||
<br /> | <br /> | ||
Map: [&lt;2 0 0 1|, &lt;0 1 0 0|, &lt;0 0 1 1|]<br /> | Map: [&lt;2 0 0 1|, &lt;0 1 0 0|, &lt;0 0 1 1|]<br /> | ||
Generators: 7/5, 3, 5<br /> | Generators: 7/5, 3, 5<br /> | ||
Edos: 10, 12, 22, 26, 38, 48</body></html></pre></div> | Edos: 10, 12, 22, 26, 38, 48</body></html></pre></div> | ||
Revision as of 15:37, 27 September 2010
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 2010-09-27 15:37:50 UTC.
- The original revision id was 165789245.
- 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:
Jubilismic temperament tempers out the interval 50/49, variously called the tritonic diesis, jubilisma or [[http://en.wikipedia.org/wiki/Septimal_sixth-tone|septimal sixth-tone]]. It therefore identifies the two septimal tritones 7/5 and 10/7, an identification familiar from [[12edo]]. While most rank three temperaments are planar, jubilismic temperament divides the octave in two. Comma: 50/49 7 and 9 limit minimax tuning [|1 0 0 0>, |0 1 0 0>, |-1/4 0 1/2 1/2>, |1/4 0 1/2 1/2>] Eigenmonzos: 2, 3/2, 35/32 Map: [<2 0 0 1|, <0 1 0 0|, <0 0 1 1|] Generators: 7/5, 3, 5 Edos: 10, 12, 22, 26, 38, 48
Original HTML content:
<html><head><title>Jubilismic family</title></head><body>Jubilismic temperament tempers out the interval 50/49, variously called the tritonic diesis, jubilisma or <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_sixth-tone" rel="nofollow">septimal sixth-tone</a>. It therefore identifies the two septimal tritones 7/5 and 10/7, an identification familiar from <a class="wiki_link" href="/12edo">12edo</a>. While most rank three temperaments are planar, jubilismic temperament divides the octave in two.<br /> <br /> Comma: 50/49<br /> <br /> 7 and 9 limit minimax tuning<br /> [|1 0 0 0>, |0 1 0 0>, |-1/4 0 1/2 1/2>, <br /> |1/4 0 1/2 1/2>]<br /> Eigenmonzos: 2, 3/2, 35/32<br /> <br /> Map: [<2 0 0 1|, <0 1 0 0|, <0 0 1 1|]<br /> Generators: 7/5, 3, 5<br /> Edos: 10, 12, 22, 26, 38, 48</body></html>