The Archipelago: Difference between revisions
Wikispaces>genewardsmith **Imported revision 199231096 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 199240444 - 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>2011-02-07 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-07 02:32:57 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>199240444</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 55: | Line 55: | ||
Rank two temperaments tempering out 676/675 include the 13-limit versions of [[Ragismic microtemperaments|hemiennealimmal]], [[Breedsmic temperaments|harry]], [[Kleismic family|tritikleismic]], [[Kleismic family|catakleimsic]], [[Marvel temperaments|negri]], [[Hemifamity temperaments|mystery]], [[Hemifamity temperaments|buzzard]], [[Kleismic family|quadritikleismic]]. | Rank two temperaments tempering out 676/675 include the 13-limit versions of [[Ragismic microtemperaments|hemiennealimmal]], [[Breedsmic temperaments|harry]], [[Kleismic family|tritikleismic]], [[Kleismic family|catakleimsic]], [[Marvel temperaments|negri]], [[Hemifamity temperaments|mystery]], [[Hemifamity temperaments|buzzard]], [[Kleismic family|quadritikleismic]]. | ||
It is interesting to note the Graham complexity of 15/13 in these temperaments. | It is interesting to note the Graham complexity of 15/13 in these temperaments. This is 18 in hemiennealimmal, 6 in harry, 9 in tritikleismic, 3 in catakleismic, 2 in negri, 2 in buzzard, 12 in quadritikleismic. Catakleismic and buzzard are particularly interesting from an archipelago point of view. Mystery is special case, since the 15/13 part of it belongs to [[29edo]] alone. | ||
===Decitonic=== | |||
Commas: 676/675, 1001/1000, 1716/1715, 4225/4224 | |||
[[POTE tuning|POTE generator]]: ~15/13 = 248.917 | |||
Map: [<10 0 47 36 98 37|, <0 2 -3 -1 -8 0|] | |||
EDOs: 130, 270, 940, 1480 | |||
Badness: 0.0135 | |||
===Avicenna=== | |||
Commas: 676/675, 1001/1000, 3025/3024, 4096/4095 | |||
[[POTE tuning|POTE generator]]: ~13/12 = 137.777 | |||
Map: [<3 2 8 16 9 8|, <0 8 -3 -22 4 9|] | |||
EDOs: 87, 183, 270 | |||
Badness: 0.0156 | |||
</pre></div> | </pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
Line 107: | Line 125: | ||
Rank two temperaments tempering out 676/675 include the 13-limit versions of <a class="wiki_link" href="/Ragismic%20microtemperaments">hemiennealimmal</a>, <a class="wiki_link" href="/Breedsmic%20temperaments">harry</a>, <a class="wiki_link" href="/Kleismic%20family">tritikleismic</a>, <a class="wiki_link" href="/Kleismic%20family">catakleimsic</a>, <a class="wiki_link" href="/Marvel%20temperaments">negri</a>, <a class="wiki_link" href="/Hemifamity%20temperaments">mystery</a>, <a class="wiki_link" href="/Hemifamity%20temperaments">buzzard</a>, <a class="wiki_link" href="/Kleismic%20family">quadritikleismic</a>. <br /> | Rank two temperaments tempering out 676/675 include the 13-limit versions of <a class="wiki_link" href="/Ragismic%20microtemperaments">hemiennealimmal</a>, <a class="wiki_link" href="/Breedsmic%20temperaments">harry</a>, <a class="wiki_link" href="/Kleismic%20family">tritikleismic</a>, <a class="wiki_link" href="/Kleismic%20family">catakleimsic</a>, <a class="wiki_link" href="/Marvel%20temperaments">negri</a>, <a class="wiki_link" href="/Hemifamity%20temperaments">mystery</a>, <a class="wiki_link" href="/Hemifamity%20temperaments">buzzard</a>, <a class="wiki_link" href="/Kleismic%20family">quadritikleismic</a>. <br /> | ||
<br /> | <br /> | ||
It is interesting to note the Graham complexity of 15/13 in these temperaments. | It is interesting to note the Graham complexity of 15/13 in these temperaments. This is 18 in hemiennealimmal, 6 in harry, 9 in tritikleismic, 3 in catakleismic, 2 in negri, 2 in buzzard, 12 in quadritikleismic. Catakleismic and buzzard are particularly interesting from an archipelago point of view. Mystery is special case, since the 15/13 part of it belongs to <a class="wiki_link" href="/29edo">29edo</a> alone.<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:26:&lt;h3&gt; --><h3 id="toc13"><a name="x-Rank two temperaments-Decitonic"></a><!-- ws:end:WikiTextHeadingRule:26 -->Decitonic</h3> | |||
Commas: 676/675, 1001/1000, 1716/1715, 4225/4224<br /> | |||
<br /> | |||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/13 = 248.917<br /> | |||
<br /> | |||
Map: [&lt;10 0 47 36 98 37|, &lt;0 2 -3 -1 -8 0|]<br /> | |||
EDOs: 130, 270, 940, 1480<br /> | |||
Badness: 0.0135<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:28:&lt;h3&gt; --><h3 id="toc14"><a name="x-Rank two temperaments-Avicenna"></a><!-- ws:end:WikiTextHeadingRule:28 -->Avicenna</h3> | |||
Commas: 676/675, 1001/1000, 3025/3024, 4096/4095<br /> | |||
<br /> | |||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~13/12 = 137.777<br /> | |||
<br /> | |||
Map: [&lt;3 2 8 16 9 8|, &lt;0 8 -3 -22 4 9|]<br /> | |||
EDOs: 87, 183, 270<br /> | |||
Badness: 0.0156</body></html></pre></div> |