Subgroup temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 473497884 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 474339428 - 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>2013- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-12-03 13:29:00 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>474339428</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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Map: [<1 2 3 4|, <0 -3 -5 -4|] | Map: [<1 2 3 4|, <0 -3 -5 -4|] | ||
EDOs: 7, 15, 22, 37, 73cd, 95cd, 117bcd | EDOs: 7, 15, 22, 37, 73cd, 95cd, 117bcd | ||
[[ | [[Tp tuning#T2%20tuning|RMS error]]: 2.287 cents | ||
==Mohaha== | ==Mohaha== | ||
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Map: [<1 1 0 2|, <0 2 8 5|] | Map: [<1 1 0 2|, <0 2 8 5|] | ||
EDOs: 7, 10, 17, 24, 31, 55, 69d, 100d, 131bd | EDOs: 7, 10, 17, 24, 31, 55, 69d, 100d, 131bd | ||
[[ | [[Tp tuning#T2%20tuning|RMS error]]: 1.392 cents | ||
===Music=== | ===Music=== | ||
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Sval map: [<9 0 11 24|, <0 2 2 1|] | Sval map: [<9 0 11 24|, <0 2 2 1|] | ||
EDOs: 54, 63, 68, 72, 135, 342, 477, 525, 613, 681, 749, 817, 2159bcd, 3336bcd, 4153bcd | EDOs: 54, 63, 68, 72, 135, 342, 477, 525, 613, 681, 749, 817, 2159bcd, 3336bcd, 4153bcd | ||
[[ | [[Tp tuning#T2%20tuning|RMS error]]: 0.0383 cents | ||
==Supra== | ==Supra== | ||
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Sval map: [<1 0 6 13|, <0 1 -2 -6|] | Sval map: [<1 0 6 13|, <0 1 -2 -6|] | ||
EDOs: 5, 12, 17, 39c, 56c | EDOs: 5, 12, 17, 39c, 56c | ||
[[ | [[Tp tuning#T2%20tuning|RMS error]]: 1.977 cents | ||
==Skwares== | ==Skwares== | ||
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Sval map: [<1 3 6 7|, <0 -4 -9 -10|] | Sval map: [<1 3 6 7|, <0 -4 -9 -10|] | ||
EDOs: 14, 17, 31, 48, 79, 127, 206bcd | EDOs: 14, 17, 31, 48, 79, 127, 206bcd | ||
[[ | [[Tp tuning#T2%20tuning|RMS error]]: 1.099 cents | ||
==Hemif (11 limit)== | ==Hemif (11 limit)== | ||
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Sval map: [<1 1 -1 2|, <0 2 13 5|] | Sval map: [<1 1 -1 2|, <0 2 13 5|] | ||
EDOs: 7, 17, 41, 58, 99d | EDOs: 7, 17, 41, 58, 99d | ||
[[ | [[Tp tuning#T2%20tuning|RMS error]]: 0.6108 cents | ||
=2.3.7.11.13= | =2.3.7.11.13= | ||
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Map: [<1 1 -1 2 4|, <0 2 13 5 -1|] | Map: [<1 1 -1 2 4|, <0 2 13 5 -1|] | ||
EDOs: 7, 10, 17, 24, 41, 58 | EDOs: 7, 10, 17, 24, 41, 58 | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.7167 cents | ||
==Parapyth (Rank 3)== | ==Parapyth (Rank 3)== | ||
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Sval map: [<1 0 0 7 12|, <0 1 0 -4 -7|, <0 0 1 1 1|] | Sval map: [<1 0 0 7 12|, <0 1 0 -4 -7|, <0 0 1 1 1|] | ||
EDOs: 17, 41, 46, 58, 87, 104 | EDOs: 17, 41, 46, 58, 87, 104 | ||
[[ | [[Tp tuning#T2%20tuning|RMS error]]: 0.3789 cents | ||
==Leapfrog== | ==Leapfrog== | ||
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Sval map: [<1 0 -21 -14 -9|, <0 1 15 11 8|] | Sval map: [<1 0 -21 -14 -9|, <0 1 15 11 8|] | ||
EDOs: 17, 46, 63 | EDOs: 17, 46, 63 | ||
[[ | [[Tp tuning#T2%20tuning|RMS error]]: 0.7541 cents | ||
==Bleu== | ==Bleu== | ||
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Map: [<1 1 2 3 3|, <0 5 7 4 6|] | Map: [<1 1 2 3 3|, <0 5 7 4 6|] | ||
EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]] | EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]] | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.752 cents | ||
=2.3.5.11= | =2.3.5.11= | ||
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Map: [&lt;1 2 3 4|, &lt;0 -3 -5 -4|]<br /> | Map: [&lt;1 2 3 4|, &lt;0 -3 -5 -4|]<br /> | ||
EDOs: 7, 15, 22, 37, 73cd, 95cd, 117bcd<br /> | EDOs: 7, 15, 22, 37, 73cd, 95cd, 117bcd<br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.287 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x2.3.5.11-Mohaha"></a><!-- ws:end:WikiTextHeadingRule:16 -->Mohaha</h2> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x2.3.5.11-Mohaha"></a><!-- ws:end:WikiTextHeadingRule:16 -->Mohaha</h2> | ||
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Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br /> | Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br /> | ||
EDOs: 7, 10, 17, 24, 31, 55, 69d, 100d, 131bd<br /> | EDOs: 7, 10, 17, 24, 31, 55, 69d, 100d, 131bd<br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.392 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="x2.3.5.11-Mohaha-Music"></a><!-- ws:end:WikiTextHeadingRule:18 -->Music</h3> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="x2.3.5.11-Mohaha-Music"></a><!-- ws:end:WikiTextHeadingRule:18 -->Music</h3> | ||
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Sval map: [&lt;9 0 11 24|, &lt;0 2 2 1|]<br /> | Sval map: [&lt;9 0 11 24|, &lt;0 2 2 1|]<br /> | ||
EDOs: 54, 63, 68, 72, 135, 342, 477, 525, 613, 681, 749, 817, 2159bcd, 3336bcd, 4153bcd<br /> | EDOs: 54, 63, 68, 72, 135, 342, 477, 525, 613, 681, 749, 817, 2159bcd, 3336bcd, 4153bcd<br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.0383 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="x2.3.7.11-Supra"></a><!-- ws:end:WikiTextHeadingRule:24 -->Supra</h2> | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="x2.3.7.11-Supra"></a><!-- ws:end:WikiTextHeadingRule:24 -->Supra</h2> | ||
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Sval map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br /> | Sval map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br /> | ||
EDOs: 5, 12, 17, 39c, 56c<br /> | EDOs: 5, 12, 17, 39c, 56c<br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.977 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x2.3.7.11-Skwares"></a><!-- ws:end:WikiTextHeadingRule:26 -->Skwares</h2> | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x2.3.7.11-Skwares"></a><!-- ws:end:WikiTextHeadingRule:26 -->Skwares</h2> | ||
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Sval map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br /> | Sval map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br /> | ||
EDOs: 14, 17, 31, 48, 79, 127, 206bcd<br /> | EDOs: 14, 17, 31, 48, 79, 127, 206bcd<br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.099 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="x2.3.7.11-Hemif (11 limit)"></a><!-- ws:end:WikiTextHeadingRule:28 -->Hemif (11 limit)</h2> | <!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="x2.3.7.11-Hemif (11 limit)"></a><!-- ws:end:WikiTextHeadingRule:28 -->Hemif (11 limit)</h2> | ||
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Sval map: [&lt;1 1 -1 2|, &lt;0 2 13 5|]<br /> | Sval map: [&lt;1 1 -1 2|, &lt;0 2 13 5|]<br /> | ||
EDOs: 7, 17, 41, 58, 99d<br /> | EDOs: 7, 17, 41, 58, 99d<br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.6108 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="x2.3.7.11.13"></a><!-- ws:end:WikiTextHeadingRule:30 -->2.3.7.11.13</h1> | <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="x2.3.7.11.13"></a><!-- ws:end:WikiTextHeadingRule:30 -->2.3.7.11.13</h1> | ||
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Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br /> | Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br /> | ||
EDOs: 7, 10, 17, 24, 41, 58<br /> | EDOs: 7, 10, 17, 24, 41, 58<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7167 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="x2.3.7.11.13-Parapyth (Rank 3)"></a><!-- ws:end:WikiTextHeadingRule:34 -->Parapyth (Rank 3)</h2> | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="x2.3.7.11.13-Parapyth (Rank 3)"></a><!-- ws:end:WikiTextHeadingRule:34 -->Parapyth (Rank 3)</h2> | ||
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Sval map: [&lt;1 0 0 7 12|, &lt;0 1 0 -4 -7|, &lt;0 0 1 1 1|]<br /> | Sval map: [&lt;1 0 0 7 12|, &lt;0 1 0 -4 -7|, &lt;0 0 1 1 1|]<br /> | ||
EDOs: 17, 41, 46, 58, 87, 104<br /> | EDOs: 17, 41, 46, 58, 87, 104<br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3789 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="x2.3.7.11.13-Leapfrog"></a><!-- ws:end:WikiTextHeadingRule:36 -->Leapfrog</h2> | <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="x2.3.7.11.13-Leapfrog"></a><!-- ws:end:WikiTextHeadingRule:36 -->Leapfrog</h2> | ||
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Sval map: [&lt;1 0 -21 -14 -9|, &lt;0 1 15 11 8|]<br /> | Sval map: [&lt;1 0 -21 -14 -9|, &lt;0 1 15 11 8|]<br /> | ||
EDOs: 17, 46, 63<br /> | EDOs: 17, 46, 63<br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7541 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="x2.3.7.11.13-Bleu"></a><!-- ws:end:WikiTextHeadingRule:38 -->Bleu</h2> | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="x2.3.7.11.13-Bleu"></a><!-- ws:end:WikiTextHeadingRule:38 -->Bleu</h2> | ||
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Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]<br /> | Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]<br /> | ||
EDOs: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo">43</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo">60c</a><br /> | EDOs: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo">43</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo">60c</a><br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.752 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="x2.3.5.11"></a><!-- ws:end:WikiTextHeadingRule:40 -->2.3.5.11</h1> | <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="x2.3.5.11"></a><!-- ws:end:WikiTextHeadingRule:40 -->2.3.5.11</h1> | ||