Gamelismic family
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- This revision was by author genewardsmith and made on 2010-06-20 02:12:22 UTC.
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Original Wikitext content:
//Gamelismic temperament// is the rank three 7-limit temperament tempering out 1029/1024. It has a [[Minkowski reduced generator basis]] given by the tempered versions of [8/7, 2, 5] (in that order.) The vals [<0 3 0 -1|, <1 1 0 3|, <0 0 1 0|] map 7-limit just intonation to the three basis elements, which may be tuned to [[118edo]] as [23/118, 118/118, 274/118]. ==11-limit temperaments== ===Prodigy=== Prodigy has normal comma list [1029/1024, 385/384] and also tempers out 441/440. It has a Minkowski generator basis [2, 8/7, 12/11], which may be mapped from the 11-limit by [<1 1 2 3 3|, <0 3 1 -1 3|, <0 0 1 0 -1|]. Once again [[118edo]] is a good tuning choice, and [[159edo]] is another one.
Original HTML content:
<html><head><title>Gamelismic family</title></head><body><em>Gamelismic temperament</em> is the rank three 7-limit temperament tempering out 1029/1024. It has a <a class="wiki_link" href="/Minkowski%20reduced%20generator%20basis">Minkowski reduced generator basis</a> given by the tempered versions of [8/7, 2, 5] (in that order.) The vals [<0 3 0 -1|, <1 1 0 3|, <0 0 1 0|] map 7-limit just intonation to the three basis elements, which may be tuned to <a class="wiki_link" href="/118edo">118edo</a> as [23/118, 118/118, 274/118].<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-11-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:0 -->11-limit temperaments</h2> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x-11-limit temperaments-Prodigy"></a><!-- ws:end:WikiTextHeadingRule:2 -->Prodigy</h3> Prodigy has normal comma list [1029/1024, 385/384] and also tempers out 441/440. It has a Minkowski generator basis [2, 8/7, 12/11], which may be mapped from the 11-limit by [<1 1 2 3 3|, <0 3 1 -1 3|, <0 0 1 0 -1|]. Once again <a class="wiki_link" href="/118edo">118edo</a> is a good tuning choice, and <a class="wiki_link" href="/159edo">159edo</a> is another one.</body></html>