Werckismic temperaments: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>genewardsmith **Imported revision 187635707 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 187637547 - 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>2010-12-13 03: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-13 03:43:30 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>187637547</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 31: | Line 31: | ||
Minimax tuning | Minimax tuning | ||
[|1 0 0 0 0 0>, |4 | [|1 0 0 0 0 0>, |5/4 0 0 -3/8 0 3/8>, |0 0 1 0 0 0>, | ||
| | |7/8 0 1 7/16 0 -7/16>, |5/4 0 1 1/8 0 -1/8>, | ||
|0 0 | |7/8 0 1 -9/16 0 9/16>] | ||
Eigenmonzos: 2, | Eigenmonzos: 2, 5, 13/7 | ||
Map: [<1 2 0 0 1 2|, <0 -6 0 7 2 -9|, <0 0 1 1 1 1|] | Map: [<1 2 0 0 1 2|, <0 -6 0 7 2 -9|, <0 0 1 1 1 1|] | ||
| Line 64: | Line 64: | ||
<br /> | <br /> | ||
Minimax tuning<br /> | Minimax tuning<br /> | ||
[|1 0 0 0 0 0&gt;, |4 | [|1 0 0 0 0 0&gt;, |5/4 0 0 -3/8 0 3/8&gt;, |0 0 1 0 0 0&gt;, <br /> | ||
| | |7/8 0 1 7/16 0 -7/16&gt;, |5/4 0 1 1/8 0 -1/8&gt;, <br /> | ||
| | |7/8 0 1 -9/16 0 9/16&gt;]<br /> | ||
Eigenmonzos: 2, | Eigenmonzos: 2, 5, 13/7<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 2 0 0 1 2|, &lt;0 -6 0 7 2 -9|, &lt;0 0 1 1 1 1|]<br /> | Map: [&lt;1 2 0 0 1 2|, &lt;0 -6 0 7 2 -9|, &lt;0 0 1 1 1 1|]<br /> | ||
Generators: 2, 21/20, 5</body></html></pre></div> | Generators: 2, 21/20, 5</body></html></pre></div> | ||
Revision as of 03:43, 13 December 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 2010-12-13 03:43:30 UTC.
- The original revision id was 187637547.
- 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:
These are rank three temperaments tempering out 441/440, but we can began by looking at the rank four temperament. Minimax tuning [|1 0 0 0 0>, |1/2 2/3 1/6 -1/3 1/6>, |0 0 1 0 0>, |1 -2/3 1/3 1/3 1/3>, |0 0 0 0 1>] Eigenmonzos: 2, 5, 11, 9/7 Map: [<1 0 0 0 -3|, <0 1 0 0 2|, <0 0 1 0 -1|, <0 0 0 1 2|] ==Babar== Commas: 441/400, 4000/3993 Minimax tuning [|1 0 0 0 0>, |4/17 12/17 0 -6/17 6/17>, |-27/17 4/17 0 -2/17 19/17>, |8/17 -10/17 0 5/17 12/17>, |0 0 0 0 1>] Eigenmonzos: 2, 11, 9/7 Map: [<1 2 0 0 1|, <0 -6 0 7 2|, <0 0 1 1 1|] Generators: 2, 21/20, 5 ===13-limit=== Commas: 364/363, 441/440, 1001/1000 Minimax tuning [|1 0 0 0 0 0>, |5/4 0 0 -3/8 0 3/8>, |0 0 1 0 0 0>, |7/8 0 1 7/16 0 -7/16>, |5/4 0 1 1/8 0 -1/8>, |7/8 0 1 -9/16 0 9/16>] Eigenmonzos: 2, 5, 13/7 Map: [<1 2 0 0 1 2|, <0 -6 0 7 2 -9|, <0 0 1 1 1 1|] Generators: 2, 21/20, 5
Original HTML content:
<html><head><title>Werckismic temperaments</title></head><body>These are rank three temperaments tempering out 441/440, but we can began by looking at the rank four temperament.<br /> <br /> Minimax tuning<br /> [|1 0 0 0 0>, |1/2 2/3 1/6 -1/3 1/6>, |0 0 1 0 0>, <br /> |1 -2/3 1/3 1/3 1/3>, |0 0 0 0 1>]<br /> Eigenmonzos: 2, 5, 11, 9/7<br /> <br /> Map: [<1 0 0 0 -3|, <0 1 0 0 2|, <0 0 1 0 -1|, <0 0 0 1 2|]<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Babar"></a><!-- ws:end:WikiTextHeadingRule:0 -->Babar</h2> Commas: 441/400, 4000/3993<br /> <br /> Minimax tuning<br /> [|1 0 0 0 0>, |4/17 12/17 0 -6/17 6/17>, <br /> |-27/17 4/17 0 -2/17 19/17>, <br /> |8/17 -10/17 0 5/17 12/17>, |0 0 0 0 1>]<br /> Eigenmonzos: 2, 11, 9/7<br /> <br /> Map: [<1 2 0 0 1|, <0 -6 0 7 2|, <0 0 1 1 1|]<br /> Generators: 2, 21/20, 5<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x-Babar-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->13-limit</h3> Commas: 364/363, 441/440, 1001/1000<br /> <br /> Minimax tuning<br /> [|1 0 0 0 0 0>, |5/4 0 0 -3/8 0 3/8>, |0 0 1 0 0 0>, <br /> |7/8 0 1 7/16 0 -7/16>, |5/4 0 1 1/8 0 -1/8>, <br /> |7/8 0 1 -9/16 0 9/16>]<br /> Eigenmonzos: 2, 5, 13/7<br /> <br /> Map: [<1 2 0 0 1 2|, <0 -6 0 7 2 -9|, <0 0 1 1 1 1|]<br /> Generators: 2, 21/20, 5</body></html>