Gamelismic family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 170649957 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 190448684 - 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> | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-01-01 20:50:03 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>190448684</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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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">//Gamelismic temperament// is the rank three [[Harmonic Limit|7-limit]] [[Regular Temperaments|temperament]] tempering out 1029/1024. | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">//Gamelismic temperament// is the rank three [[Harmonic Limit|7-limit]] [[Regular Temperaments|temperament]] tempering out 1029/1024. | ||
[[Comma]] c = 1029/1024 | [[Comma]]: c = 1029/1024 | ||
7-limit minimax tuning: 3, 5, and 7 1/4c flat | 7-limit minimax tuning: 3, 5, and 7 1/4c flat | ||
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Map to lattice: [<0 3 0 -1|, <0 0 1 0|] | Map to lattice: [<0 3 0 -1|, <0 0 1 0|] | ||
[[edo|EDOs]]: [[118edo|118]], [[159edo|159]] | Map: [<1 1 0 3|, <0 3 0 -1|,<0 0 1 0|] | ||
[[edo|EDOs]]: 5, 10, 15, 26, 31, 41, 72, 118, [[118edo|118]], [[159edo|159]], 190 | |||
==Portent== | |||
Portent has a [[Normal lists|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440. | Portent has a [[Normal lists|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440. | ||
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Map: [<1 1 0 3 5|, <0 3 0 -1 4| <0 0 1 0 -1|] | Map: [<1 1 0 3 5|, <0 3 0 -1 4| <0 0 1 0 -1|] | ||
[[Generator|Generators]]: 2, 8/7, 5 | [[Generator|Generators]]: 2, 8/7, 5 | ||
Edos: 26, 31, 46, 57, 72, 77, 103, 149 | Edos: 26, 31, 46, 57, 72, 77, 103, 118, 149, 159, 190 | ||
===13-limit=== | |||
Commas: 325/324, 364/363, 441/440 | |||
Map: [<1 1 0 3 5 6|, <0 3 0 -1 4 12| <0 0 1 0 -1 -2|] | |||
EDOs: 15, 26, 41, 46, 72, 87, 159 | |||
===Portentous=== | |||
Commas: 1029/1024, 385/384, 625/624 | Commas: 1029/1024, 385/384, 625/624 | ||
Commas: 385/384, 441/440, 685/684 | |||
Commas: | |||
EDOs: 15, 31, 56, 72, 87, 103, 159, 190 | |||
===Ominous=== | |||
Commas: 351/350, 385/384, 441/440 | |||
Map: [<1 1 0 3 5 1|, <0 3 0 -1 4 -10| <0 0 1 0 -1 2|] | |||
EDOs: 26, 31, 46, 72, 103, 149 | |||
17-limit | ====17-limit==== | ||
Commas: 273/272, 351/350, 441/440, 561/560 | Commas: 273/272, 351/350, 441/440, 561/560 | ||
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|0 0 1 0 -1 2 2>] | |0 0 1 0 -1 2 2>] | ||
Generators: 2, 8/7, 5 | Generators: 2, 8/7, 5 | ||
EDOs: 26, 31, 46, 72, 103, 149 | |||
====Momentous==== | ====Momentous==== | ||
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Gamelismic family</title></head><body><em>Gamelismic temperament</em> is the rank three <a class="wiki_link" href="/Harmonic%20Limit">7-limit</a> <a class="wiki_link" href="/Regular%20Temperaments">temperament</a> tempering out 1029/1024. <br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Gamelismic family</title></head><body><em>Gamelismic temperament</em> is the rank three <a class="wiki_link" href="/Harmonic%20Limit">7-limit</a> <a class="wiki_link" href="/Regular%20Temperaments">temperament</a> tempering out 1029/1024. <br /> | ||
<br /> | <br /> | ||
< | <br /> | ||
<a class="wiki_link" href="/Comma">Comma</a> c = 1029/1024<br /> | <a class="wiki_link" href="/Comma">Comma</a>: c = 1029/1024<br /> | ||
<br /> | <br /> | ||
7-limit minimax tuning: 3, 5, and 7 1/4c flat<br /> | 7-limit minimax tuning: 3, 5, and 7 1/4c flat<br /> | ||
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Map to lattice: [&lt;0 3 0 -1|, &lt;0 0 1 0|] <br /> | Map to lattice: [&lt;0 3 0 -1|, &lt;0 0 1 0|] <br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/159edo">159</a><br / | Map: [&lt;1 1 0 3|, &lt;0 3 0 -1|,&lt;0 0 1 0|]<br /> | ||
<a class="wiki_link" href="/edo">EDOs</a>: 5, 10, 15, 26, 31, 41, 72, 118, <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/159edo">159</a>, 190<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Portent"></a><!-- ws:end:WikiTextHeadingRule:0 -->Portent</h2> | ||
Portent has a <a class="wiki_link" href="/Normal%20lists">normal comma list</a> [1029/1024, 385/384] and also tempers out 441/440. <br /> | Portent has a <a class="wiki_link" href="/Normal%20lists">normal comma list</a> [1029/1024, 385/384] and also tempers out 441/440. <br /> | ||
<br /> | <br /> | ||
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Map: [&lt;1 1 0 3 5|, &lt;0 3 0 -1 4| &lt;0 0 1 0 -1|]<br /> | Map: [&lt;1 1 0 3 5|, &lt;0 3 0 -1 4| &lt;0 0 1 0 -1|]<br /> | ||
<a class="wiki_link" href="/Generator">Generators</a>: 2, 8/7, 5<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 8/7, 5<br /> | ||
Edos: 26, 31, 46, 57, 72, 77, 103, 149<br /> | Edos: 26, 31, 46, 57, 72, 77, 103, 118, 149, 159, 190<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Portent-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->13-limit</h3> | |||
Commas: 325/324, 364/363, 441/440<br /> | |||
<br /> | <br /> | ||
Map: [&lt;1 1 0 3 5 6|, &lt;0 3 0 -1 4 12| &lt;0 0 1 0 -1 -2|]<br /> | |||
EDOs: 15, 26, 41, 46, 72, 87, 159<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-Portent-Portentous"></a><!-- ws:end:WikiTextHeadingRule:4 -->Portentous</h3> | ||
Commas: 1029/1024, 385/384, 625/624<br /> | Commas: 1029/1024, 385/384, 625/624<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | Commas: 385/384, 441/440, 685/684<br /> | ||
Commas: | <br /> | ||
<br /> | |||
EDOs: 15, 31, 56, 72, 87, 103, 159, 190<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-Portent-Ominous"></a><!-- ws:end:WikiTextHeadingRule:6 -->Ominous</h3> | |||
Commas: 351/350, 385/384, 441/440<br /> | |||
<br /> | |||
Map: [&lt;1 1 0 3 5 1|, &lt;0 3 0 -1 4 -10| &lt;0 0 1 0 -1 2|]<br /> | |||
EDOs: 26, 31, 46, 72, 103, 149<br /> | |||
<br /> | <br /> | ||
17-limit< | <!-- ws:start:WikiTextHeadingRule:8:&lt;h4&gt; --><h4 id="toc4"><a name="x-Portent-Ominous-17-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->17-limit</h4> | ||
Commas: 273/272, 351/350, 441/440, 561/560<br /> | Commas: 273/272, 351/350, 441/440, 561/560<br /> | ||
<br /> | <br /> | ||
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|0 0 1 0 -1 2 2&gt;]<br /> | |0 0 1 0 -1 2 2&gt;]<br /> | ||
Generators: 2, 8/7, 5<br /> | Generators: 2, 8/7, 5<br /> | ||
EDOs: 26, 31, 46, 72, 103, 149<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h4&gt; --><h4 id="toc5"><a name="x- | <!-- ws:start:WikiTextHeadingRule:10:&lt;h4&gt; --><h4 id="toc5"><a name="x-Portent-Ominous-Momentous"></a><!-- ws:end:WikiTextHeadingRule:10 -->Momentous</h4> | ||
Commas: 1029/1024, 385/384, 196/195<br /> | Commas: 1029/1024, 385/384, 196/195<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h4&gt; --><h4 id="toc6"><a name="x- | <!-- ws:start:WikiTextHeadingRule:12:&lt;h4&gt; --><h4 id="toc6"><a name="x-Portent-Ominous-Foreboding"></a><!-- ws:end:WikiTextHeadingRule:12 -->Foreboding</h4> | ||
Commas: 1029/1024, 385/384, 105/104<br /> | Commas: 1029/1024, 385/384, 105/104<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/159edo">159</a>, <a class="wiki_link" href="/190edo">190</a></body></html></pre></div> | <a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/159edo">159</a>, <a class="wiki_link" href="/190edo">190</a></body></html></pre></div> | ||