Optimal patent val: Difference between revisions
Wikispaces>genewardsmith **Imported revision 203276642 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 203306518 - 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>2011-02-19 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-19 08:43:11 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>203306518</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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[[Meantone family|Meantone]]: [[81edo]] 12&19 13.707 | [[Meantone family|Meantone]]: [[81edo]] 12&19 13.707 | ||
[[Starling temperaments|Myna]]: [[89edo]] 4&27 27.044 | [[Starling temperaments|Myna]]: [[89edo]] 4&27 27.044 | ||
[[Marvel temperaments|Septimin]]: [[91edo]] 9&32 | [[Marvel temperaments|Septimin]]: [[91edo]] 9&32 54.502 | ||
[[Schismatic family|Garibaldi]]: [[94edo]] 12&29 21.644 | [[Schismatic family|Garibaldi]]: [[94edo]] 12&29 21.644 | ||
[[Hemimean clan|Misty]]: [[99edo]] 12&87 36.802 | [[Hemimean clan|Misty]]: [[99edo]] 12&87 36.802 | ||
[[Starling temperaments|Nusecond]]: [[101edo]] 31&101 50.389 | [[Starling temperaments|Nusecond]]: [[101edo]] 31&101 50.389 | ||
[[Tetracot family|Octacot]]: [[109edo]] | [[Tetracot family|Octacot]]: [[109edo]] 27&41 33.845 | ||
[[Hemimean clan|Semisept]]: [[111edo]] 18&31 50.472 | [[Hemimean clan|Semisept]]: [[111edo]] 18&31 50.472 | ||
[[Gamelismic clan|Guiron]]: [[118edo]] 36&41 47.544 | [[Gamelismic clan|Guiron]]: [[118edo]] 36&41 47.544 | ||
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[[Marvel temperaments|Slender]]: [[125edo]] 1&31 56.934 | [[Marvel temperaments|Slender]]: [[125edo]] 1&31 56.934 | ||
[[Gamelismic clan|Rodan]]: [[128edo]] 5&41 37.112 | [[Gamelismic clan|Rodan]]: [[128edo]] 5&41 37.112 | ||
[[Semicomma family|Orwell]]: [[137edo]] | [[Semicomma family|Orwell]]: [[137edo]] 9&22 20.375 | ||
[[Breedsmic temperaments|Tertiaseptal]]: [[171edo]] | [[Breedsmic temperaments|Tertiaseptal]]: [[171edo]] 31&109 12.995 | ||
[[Schismatic family|Pontiac]]: [[171edo]] 53&118 14.133 | [[Schismatic family|Pontiac]]: [[171edo]] 53&118 14.133 | ||
[[Ragismic microtemperaments|Mitonic]]: [[171edo]] | [[Ragismic microtemperaments|Mitonic]]: [[171edo]] 46&125 25.184 | ||
[[Mutt family|Mutt]]: [[171edo]] | [[Mutt family|Mutt]]: [[171edo]] | ||
[[Starling temperaments|Valentine]]: [[185edo]] 15&31 31.056 | [[Starling temperaments|Valentine]]: [[185edo]] 15&31 31.056 | ||
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[[Kleismic family|Catakleismic]]: [[197edo]] 19&53 21.501 | [[Kleismic family|Catakleismic]]: [[197edo]] 19&53 21.501 | ||
[[Kleismic family|Quadritikleismic]]: [[212edo]] 4&68 39.231 | [[Kleismic family|Quadritikleismic]]: [[212edo]] 4&68 39.231 | ||
[[Ragismic microtemperaments|Octoid]]: [224edo]] 72&152 42.670 | |||
[[Pythagorean family|Compton]]: [[228edo]] | [[Pythagorean family|Compton]]: [[228edo]] | ||
[[Kleismic family|Tritikleismic]]: [[231edo]] 15&57 56.337 | [[Kleismic family|Tritikleismic]]: [[231edo]] 15&57 56.337 | ||
[[Wuerschmidt family|Hemiwuerschmidt]]: [[328edo]] | [[Wuerschmidt family|Hemiwuerschmidt]]: [[328edo]] | ||
[[Breedsmic temperaments|Hemififths]]: [[338edo]] | [[Breedsmic temperaments|Hemififths]]: [[338edo]] 41&58 22.243 | ||
[[Ragismic microtemperaments|Amity]]: [[350edo]] | [[Ragismic microtemperaments|Amity]]: [[350edo]] 7&39 23.649 | ||
[[Schismatic family|Bischismic]]: [[378edo]] 12&118 54.744 | [[Schismatic family|Bischismic]]: [[378edo]] 12&118 54.744 | ||
[[Ragismic microtemperaments|Parakleismic]]: [[415edo]] | [[Ragismic microtemperaments|Parakleismic]]: [[415edo]] 19&80 27.431 | ||
[[Ragismic microtemperaments|Gamera]]: [[422edo]] | [[Ragismic microtemperaments|Gamera]]: [[422edo]] 26&73 37.648 | ||
[[Kleismic family|Countercata]]: [[473edo]] 34&53 52.128 | [[Kleismic family|Countercata]]: [[473edo]] 34&53 52.128 | ||
[[Breedsmic temperaments|Harry]]: [[534edo]] | [[Breedsmic temperaments|Harry]]: [[534edo]] 58&72 34.077 | ||
[[Ragismic microtemperaments|Ennealimmal]]: [[612edo]] | [[Ragismic microtemperaments|Ennealimmal]]: [[612edo]] 27&45 3.610 | ||
[[Breedsmic temperaments|Quasiorwell]]: [[1111edo]] | [[Breedsmic temperaments|Quasiorwell]]: [[1111edo]] 31&177 35.832 | ||
[[Schismatic family|Sesquiquartififths]]: [[1498edo]] | [[Schismatic family|Sesquiquartififths]]: [[1498edo]] | ||
[[Schismatic family|Term]]: [[1722edo]] 12&159 19.950 | [[Schismatic family|Term]]: [[1722edo]] 12&159 19.950 | ||
[[Gammic family|Neptune]]: [[1778edo]] | [[Gammic family|Neptune]]: [[1778edo]] | ||
[[Ragismic microtemperaments|Enneadecal]]: [[2185edo]] | [[Ragismic microtemperaments|Abigail]]: [[1798edo]] 46&132 37.000 | ||
[[Ragismic microtemperaments|Supermajor]]: [[6214edo]] | [[Ragismic microtemperaments|Enneadecal]]: [[2185edo]] 19&152 10.954 | ||
[[Ragismic microtemperaments|Supermajor]]: [[6214edo]] 80&171 10.836 | |||
==7-limit rank three== | ==7-limit rank three== | ||
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<a class="wiki_link" href="/Meantone%20family">Meantone</a>: <a class="wiki_link" href="/81edo">81edo</a> 12&amp;19 13.707<br /> | <a class="wiki_link" href="/Meantone%20family">Meantone</a>: <a class="wiki_link" href="/81edo">81edo</a> 12&amp;19 13.707<br /> | ||
<a class="wiki_link" href="/Starling%20temperaments">Myna</a>: <a class="wiki_link" href="/89edo">89edo</a> 4&amp;27 27.044<br /> | <a class="wiki_link" href="/Starling%20temperaments">Myna</a>: <a class="wiki_link" href="/89edo">89edo</a> 4&amp;27 27.044<br /> | ||
<a class="wiki_link" href="/Marvel%20temperaments">Septimin</a>: <a class="wiki_link" href="/91edo">91edo</a> 9&amp;32<br /> | <a class="wiki_link" href="/Marvel%20temperaments">Septimin</a>: <a class="wiki_link" href="/91edo">91edo</a> 9&amp;32 54.502<br /> | ||
<a class="wiki_link" href="/Schismatic%20family">Garibaldi</a>: <a class="wiki_link" href="/94edo">94edo</a> 12&amp;29 21.644<br /> | <a class="wiki_link" href="/Schismatic%20family">Garibaldi</a>: <a class="wiki_link" href="/94edo">94edo</a> 12&amp;29 21.644<br /> | ||
<a class="wiki_link" href="/Hemimean%20clan">Misty</a>: <a class="wiki_link" href="/99edo">99edo</a> 12&amp;87 36.802<br /> | <a class="wiki_link" href="/Hemimean%20clan">Misty</a>: <a class="wiki_link" href="/99edo">99edo</a> 12&amp;87 36.802<br /> | ||
<a class="wiki_link" href="/Starling%20temperaments">Nusecond</a>: <a class="wiki_link" href="/101edo">101edo</a> 31&amp;101 50.389<br /> | <a class="wiki_link" href="/Starling%20temperaments">Nusecond</a>: <a class="wiki_link" href="/101edo">101edo</a> 31&amp;101 50.389<br /> | ||
<a class="wiki_link" href="/Tetracot%20family">Octacot</a>: <a class="wiki_link" href="/109edo">109edo</a><br /> | <a class="wiki_link" href="/Tetracot%20family">Octacot</a>: <a class="wiki_link" href="/109edo">109edo</a> 27&amp;41 33.845<br /> | ||
<a class="wiki_link" href="/Hemimean%20clan">Semisept</a>: <a class="wiki_link" href="/111edo">111edo</a> 18&amp;31 50.472<br /> | <a class="wiki_link" href="/Hemimean%20clan">Semisept</a>: <a class="wiki_link" href="/111edo">111edo</a> 18&amp;31 50.472<br /> | ||
<a class="wiki_link" href="/Gamelismic%20clan">Guiron</a>: <a class="wiki_link" href="/118edo">118edo</a> 36&amp;41 47.544<br /> | <a class="wiki_link" href="/Gamelismic%20clan">Guiron</a>: <a class="wiki_link" href="/118edo">118edo</a> 36&amp;41 47.544<br /> | ||
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<a class="wiki_link" href="/Marvel%20temperaments">Slender</a>: <a class="wiki_link" href="/125edo">125edo</a> 1&amp;31 56.934<br /> | <a class="wiki_link" href="/Marvel%20temperaments">Slender</a>: <a class="wiki_link" href="/125edo">125edo</a> 1&amp;31 56.934<br /> | ||
<a class="wiki_link" href="/Gamelismic%20clan">Rodan</a>: <a class="wiki_link" href="/128edo">128edo</a> 5&amp;41 37.112<br /> | <a class="wiki_link" href="/Gamelismic%20clan">Rodan</a>: <a class="wiki_link" href="/128edo">128edo</a> 5&amp;41 37.112<br /> | ||
<a class="wiki_link" href="/Semicomma%20family">Orwell</a>: <a class="wiki_link" href="/137edo">137edo</a><br /> | <a class="wiki_link" href="/Semicomma%20family">Orwell</a>: <a class="wiki_link" href="/137edo">137edo</a> 9&amp;22 20.375<br /> | ||
<a class="wiki_link" href="/Breedsmic%20temperaments">Tertiaseptal</a>: <a class="wiki_link" href="/171edo">171edo</a><br /> | <a class="wiki_link" href="/Breedsmic%20temperaments">Tertiaseptal</a>: <a class="wiki_link" href="/171edo">171edo</a> 31&amp;109 12.995<br /> | ||
<a class="wiki_link" href="/Schismatic%20family">Pontiac</a>: <a class="wiki_link" href="/171edo">171edo</a> 53&amp;118 14.133<br /> | <a class="wiki_link" href="/Schismatic%20family">Pontiac</a>: <a class="wiki_link" href="/171edo">171edo</a> 53&amp;118 14.133<br /> | ||
<a class="wiki_link" href="/Ragismic%20microtemperaments">Mitonic</a>: <a class="wiki_link" href="/171edo">171edo</a><br /> | <a class="wiki_link" href="/Ragismic%20microtemperaments">Mitonic</a>: <a class="wiki_link" href="/171edo">171edo</a> 46&amp;125 25.184<br /> | ||
<a class="wiki_link" href="/Mutt%20family">Mutt</a>: <a class="wiki_link" href="/171edo">171edo</a><br /> | <a class="wiki_link" href="/Mutt%20family">Mutt</a>: <a class="wiki_link" href="/171edo">171edo</a><br /> | ||
<a class="wiki_link" href="/Starling%20temperaments">Valentine</a>: <a class="wiki_link" href="/185edo">185edo</a> 15&amp;31 31.056<br /> | <a class="wiki_link" href="/Starling%20temperaments">Valentine</a>: <a class="wiki_link" href="/185edo">185edo</a> 15&amp;31 31.056<br /> | ||
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<a class="wiki_link" href="/Kleismic%20family">Catakleismic</a>: <a class="wiki_link" href="/197edo">197edo</a> 19&amp;53 21.501<br /> | <a class="wiki_link" href="/Kleismic%20family">Catakleismic</a>: <a class="wiki_link" href="/197edo">197edo</a> 19&amp;53 21.501<br /> | ||
<a class="wiki_link" href="/Kleismic%20family">Quadritikleismic</a>: <a class="wiki_link" href="/212edo">212edo</a> 4&amp;68 39.231<br /> | <a class="wiki_link" href="/Kleismic%20family">Quadritikleismic</a>: <a class="wiki_link" href="/212edo">212edo</a> 4&amp;68 39.231<br /> | ||
<a class="wiki_link" href="/Ragismic%20microtemperaments">Octoid</a>: [224edo]] 72&amp;152 42.670<br /> | |||
<a class="wiki_link" href="/Pythagorean%20family">Compton</a>: <a class="wiki_link" href="/228edo">228edo</a><br /> | <a class="wiki_link" href="/Pythagorean%20family">Compton</a>: <a class="wiki_link" href="/228edo">228edo</a><br /> | ||
<a class="wiki_link" href="/Kleismic%20family">Tritikleismic</a>: <a class="wiki_link" href="/231edo">231edo</a> 15&amp;57 56.337<br /> | <a class="wiki_link" href="/Kleismic%20family">Tritikleismic</a>: <a class="wiki_link" href="/231edo">231edo</a> 15&amp;57 56.337<br /> | ||
<a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a>: <a class="wiki_link" href="/328edo">328edo</a><br /> | <a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a>: <a class="wiki_link" href="/328edo">328edo</a><br /> | ||
<a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a>: <a class="wiki_link" href="/338edo">338edo</a><br /> | <a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a>: <a class="wiki_link" href="/338edo">338edo</a> 41&amp;58 22.243<br /> | ||
<a class="wiki_link" href="/Ragismic%20microtemperaments">Amity</a>: <a class="wiki_link" href="/350edo">350edo</a><br /> | <a class="wiki_link" href="/Ragismic%20microtemperaments">Amity</a>: <a class="wiki_link" href="/350edo">350edo</a> 7&amp;39 23.649<br /> | ||
<a class="wiki_link" href="/Schismatic%20family">Bischismic</a>: <a class="wiki_link" href="/378edo">378edo</a> 12&amp;118 54.744<br /> | <a class="wiki_link" href="/Schismatic%20family">Bischismic</a>: <a class="wiki_link" href="/378edo">378edo</a> 12&amp;118 54.744<br /> | ||
<a class="wiki_link" href="/Ragismic%20microtemperaments">Parakleismic</a>: <a class="wiki_link" href="/415edo">415edo</a><br /> | <a class="wiki_link" href="/Ragismic%20microtemperaments">Parakleismic</a>: <a class="wiki_link" href="/415edo">415edo</a> 19&amp;80 27.431<br /> | ||
<a class="wiki_link" href="/Ragismic%20microtemperaments">Gamera</a>: <a class="wiki_link" href="/422edo">422edo</a><br /> | <a class="wiki_link" href="/Ragismic%20microtemperaments">Gamera</a>: <a class="wiki_link" href="/422edo">422edo</a> 26&amp;73 37.648<br /> | ||
<a class="wiki_link" href="/Kleismic%20family">Countercata</a>: <a class="wiki_link" href="/473edo">473edo</a> 34&amp;53 52.128<br /> | <a class="wiki_link" href="/Kleismic%20family">Countercata</a>: <a class="wiki_link" href="/473edo">473edo</a> 34&amp;53 52.128<br /> | ||
<a class="wiki_link" href="/Breedsmic%20temperaments">Harry</a>: <a class="wiki_link" href="/534edo">534edo</a><br /> | <a class="wiki_link" href="/Breedsmic%20temperaments">Harry</a>: <a class="wiki_link" href="/534edo">534edo</a> 58&amp;72 34.077<br /> | ||
<a class="wiki_link" href="/Ragismic%20microtemperaments">Ennealimmal</a>: <a class="wiki_link" href="/612edo">612edo</a><br /> | <a class="wiki_link" href="/Ragismic%20microtemperaments">Ennealimmal</a>: <a class="wiki_link" href="/612edo">612edo</a> 27&amp;45 3.610<br /> | ||
<a class="wiki_link" href="/Breedsmic%20temperaments">Quasiorwell</a>: <a class="wiki_link" href="/1111edo">1111edo</a><br /> | <a class="wiki_link" href="/Breedsmic%20temperaments">Quasiorwell</a>: <a class="wiki_link" href="/1111edo">1111edo</a> 31&amp;177 35.832<br /> | ||
<a class="wiki_link" href="/Schismatic%20family">Sesquiquartififths</a>: <a class="wiki_link" href="/1498edo">1498edo</a><br /> | <a class="wiki_link" href="/Schismatic%20family">Sesquiquartififths</a>: <a class="wiki_link" href="/1498edo">1498edo</a><br /> | ||
<a class="wiki_link" href="/Schismatic%20family">Term</a>: <a class="wiki_link" href="/1722edo">1722edo</a> 12&amp;159 19.950<br /> | <a class="wiki_link" href="/Schismatic%20family">Term</a>: <a class="wiki_link" href="/1722edo">1722edo</a> 12&amp;159 19.950<br /> | ||
<a class="wiki_link" href="/Gammic%20family">Neptune</a>: <a class="wiki_link" href="/1778edo">1778edo</a><br /> | <a class="wiki_link" href="/Gammic%20family">Neptune</a>: <a class="wiki_link" href="/1778edo">1778edo</a><br /> | ||
<a class="wiki_link" href="/Ragismic%20microtemperaments">Enneadecal</a>: <a class="wiki_link" href="/2185edo">2185edo</a><br /> | <a class="wiki_link" href="/Ragismic%20microtemperaments">Abigail</a>: <a class="wiki_link" href="/1798edo">1798edo</a> 46&amp;132 37.000<br /> | ||
<a class="wiki_link" href="/Ragismic%20microtemperaments">Supermajor</a>: <a class="wiki_link" href="/6214edo">6214edo</a><br /> | <a class="wiki_link" href="/Ragismic%20microtemperaments">Enneadecal</a>: <a class="wiki_link" href="/2185edo">2185edo</a> 19&amp;152 10.954<br /> | ||
<a class="wiki_link" href="/Ragismic%20microtemperaments">Supermajor</a>: <a class="wiki_link" href="/6214edo">6214edo</a> 80&amp;171 10.836<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-7-limit rank three"></a><!-- ws:end:WikiTextHeadingRule:4 -->7-limit rank three</h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-7-limit rank three"></a><!-- ws:end:WikiTextHeadingRule:4 -->7-limit rank three</h2> |