Werckismic temperaments: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 202891988 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 205392820 - 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>2011-02- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-27 11:16:45 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>205392820</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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EDOs: 72, 118, 130, 159, 171, 190, 248, 289, 320 | EDOs: 72, 118, 130, 159, 171, 190, 248, 289, 320 | ||
== | ==History== | ||
Commas: 441/400, 4000/3993 | Commas: 441/400, 4000/3993 | ||
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EDOs: 72, 118, 130, 159, 171, 190, 248, 289, 320<br /> | EDOs: 72, 118, 130, 159, 171, 190, 248, 289, 320<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x- | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-History"></a><!-- ws:end:WikiTextHeadingRule:0 -->History</h2> | ||
Commas: 441/400, 4000/3993<br /> | Commas: 441/400, 4000/3993<br /> | ||
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Badness: 0.000604<br /> | Badness: 0.000604<br /> | ||
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Commas: 364/363, 441/440, 1001/1000<br /> | Commas: 364/363, 441/440, 1001/1000<br /> | ||
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Revision as of 11:16, 27 February 2011
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 2011-02-27 11:16:45 UTC.
- The original revision id was 205392820.
- 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|] EDOs: 72, 118, 130, 159, 171, 190, 248, 289, 320 ==History== 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 EDOs: 58, 72, 130, 202, 217, 289, 491 Badness: 0.000604 ===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 EDOs: 58, 72, 87, 130, 217, 289 Badness: 0.000540 ==Varuna== Commas: 441/440, 8019/8000 Map: [<2 0 0 9 12|, <0 1 0 -4 -6|, <0 0 1 2 3|] EDOs: 12, 26, 46, 58, 72, 118, 130, 248, 320 Generators: 99/70, 3, 5 Badness: 0.000419
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 /> EDOs: 72, 118, 130, 159, 171, 190, 248, 289, 320<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-History"></a><!-- ws:end:WikiTextHeadingRule:0 -->History</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 /> EDOs: 58, 72, 130, 202, 217, 289, 491<br /> Badness: 0.000604<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x-History-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<br /> EDOs: 58, 72, 87, 130, 217, 289<br /> Badness: 0.000540<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="x-Varuna"></a><!-- ws:end:WikiTextHeadingRule:4 -->Varuna</h2> Commas: 441/440, 8019/8000<br /> <br /> Map: [<2 0 0 9 12|, <0 1 0 -4 -6|, <0 0 1 2 3|]<br /> EDOs: 12, 26, 46, 58, 72, 118, 130, 248, 320<br /> Generators: 99/70, 3, 5<br /> Badness: 0.000419</body></html>