Chromatic pairs: Difference between revisions
Wikispaces>genewardsmith **Imported revision 209525280 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 209616254 - 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>2011-03-11 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-11 11:01:36 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>209616254</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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[[terrain9|Nine note albitonic scale]] | [[terrain9|Nine note albitonic scale]] | ||
[[terrain15|Fifteen note chromatic scale]] | [[terrain15|Fifteen note chromatic scale]] | ||
==Bridgetown== | ==Bridgetown== | ||
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[[bridgetown9|Nine note albitonic scale]] | [[bridgetown9|Nine note albitonic scale]] | ||
[[bridgetown14|Fourteen note chromatic scale]] | [[bridgetown14|Fourteen note chromatic scale]] | ||
==Hemif== | |||
Subgroup: 2.3.7.11.13 | |||
Commas: 144/143, 243/242, 364/363 | |||
Related temperament: [[Breedsmic temperaments|Hemififths]] | |||
POTE generator: ~11/9 = 351.691 | |||
Map: [<1 1 -1 2 4|, <0 2 13 5 -1|] | |||
EDOs: 7, 10, 17, 24, 41, 58 | |||
Error: 1.756 | |||
[[hemif7|Seven note haplotonic scale]] | |||
[[hemif10|Ten note albitonic scale]] | |||
[[hemif17|Seventeen note chromatic scale]] | |||
==Radon== | ==Radon== | ||
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[[radon11|Eleven note albitonic scale]] | [[radon11|Eleven note albitonic scale]] | ||
[[radon16|Sixteen note chromatic scale]] | [[radon16|Sixteen note chromatic scale]] | ||
==Pepperoni== | |||
Subgroup: 2.3.11/7.13/7 | |||
Commas: 352/351, 364/363 | |||
Related temperament: [[Margo Schulter]]'s [[Pepper temperament|pepper temperament]] | |||
POTE generator: ~3/2 = 704.052 | |||
Map: [<1 0 7 12|, <0 1 -4 -7|] | |||
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271 | |||
Error: 2.155 cents | |||
[[pepperoni7|Seven note albitonic scale]] | |||
[[pepperoni12|Twelve note chromatic scale]] | |||
==Skwares== | ==Skwares== | ||
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[[skwares11|Eleven note mega albitonic scale]] | [[skwares11|Eleven note mega albitonic scale]] | ||
[[skwares14|Fourteen note chromatic scale]] | [[skwares14|Fourteen note chromatic scale]] | ||
==Supra== | ==Supra== | ||
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Map: [<1 0 6 13|, <0 1 -2 -6|] | Map: [<1 0 6 13|, <0 1 -2 -6|] | ||
EDOs: 5, 7, 12, 17, 22, 39, 56 | EDOs: 5, 7, 12, 17, 22, 39, 56 | ||
Error: 5.414 | |||
[[supra7|Seven note albitonic scale]] | [[supra7|Seven note albitonic scale]] | ||
[[supra12|Twelve note chromatic scale]] | [[supra12|Twelve note chromatic scale]] | ||
==Greeley== | |||
Subgroup: 2.5/3.7/3.11/3 | |||
Commas: 121/120, 126/125 | |||
POTE generator: ~11/10 = 156.055 | |||
Map: [<1 1 2 2|, <0 -2 -6 -1|] | |||
EDOs: 8, 15, 23, 77, 100 | |||
Error: 7.555 cents | |||
[[greeley8|Eight note albitonic scale]] | |||
[[greeley15|Fifteen note chromatic scale]] | |||
==Mohaha== | ==Mohaha== | ||
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<a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br /> | <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x- | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:2 -->Bridgetown</h2> | ||
Subgroup: 2.3.11/5.13/5<br /> | Subgroup: 2.3.11/5.13/5<br /> | ||
Commas: 352/351, 676/675<br /> | Commas: 352/351, 676/675<br /> | ||
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<a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br /> | <a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-Hemif"></a><!-- ws:end:WikiTextHeadingRule:4 -->Hemif</h2> | ||
Subgroup: 2.3.7.11.13<br /> | |||
Commas: 144/143, 243/242, 364/363<br /> | |||
Related temperament: <a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a><br /> | |||
<br /> | |||
POTE generator: ~11/9 = 351.691<br /> | |||
<br /> | |||
Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br /> | |||
EDOs: 7, 10, 17, 24, 41, 58<br /> | |||
Error: 1.756<br /> | |||
<br /> | |||
<a class="wiki_link" href="/hemif7">Seven note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="/hemif10">Ten note albitonic scale</a><br /> | |||
<a class="wiki_link" href="/hemif17">Seventeen note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-Radon"></a><!-- ws:end:WikiTextHeadingRule:6 -->Radon</h2> | |||
Subgroup: 2.3.7.11<br /> | Subgroup: 2.3.7.11<br /> | ||
Commas: 896/891, 1029/1024<br /> | Commas: 896/891, 1029/1024<br /> | ||
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<a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br /> | <a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br /> | ||
<a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br /> | <a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x-Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:8 -->Pepperoni</h2> | |||
Subgroup: 2.3.11/7.13/7<br /> | |||
Commas: 352/351, 364/363<br /> | |||
Related temperament: <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>'s <a class="wiki_link" href="/Pepper%20temperament">pepper temperament</a><br /> | |||
<br /> | |||
POTE generator: ~3/2 = 704.052<br /> | |||
<br /> | |||
Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br /> | |||
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br /> | |||
Error: 2.155 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-Skwares"></a><!-- ws:end:WikiTextHeadingRule:10 -->Skwares</h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-Skwares"></a><!-- ws:end:WikiTextHeadingRule:10 -->Skwares</h2> | ||
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<a class="wiki_link" href="/skwares14">Fourteen note chromatic scale</a><br /> | <a class="wiki_link" href="/skwares14">Fourteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x- | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x-Supra"></a><!-- ws:end:WikiTextHeadingRule:12 -->Supra</h2> | ||
Subgroup: 2.3.7.11<br /> | Subgroup: 2.3.7.11<br /> | ||
Commas: 64/63, 99/98<br /> | Commas: 64/63, 99/98<br /> | ||
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Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br /> | Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br /> | ||
EDOs: 5, 7, 12, 17, 22, 39, 56<br /> | EDOs: 5, 7, 12, 17, 22, 39, 56<br /> | ||
Error: 5.414<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/supra7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="/supra7">Seven note albitonic scale</a><br /> | ||
<a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br /> | <a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="x-Greeley"></a><!-- ws:end:WikiTextHeadingRule:14 -->Greeley</h2> | |||
Subgroup: 2.5/3.7/3.11/3<br /> | |||
Commas: 121/120, 126/125<br /> | |||
<br /> | |||
POTE generator: ~11/10 = 156.055<br /> | |||
<br /> | |||
Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br /> | |||
EDOs: 8, 15, 23, 77, 100<br /> | |||
Error: 7.555 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="/greeley8">Eight note albitonic scale</a><br /> | |||
<a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x-Mohaha"></a><!-- ws:end:WikiTextHeadingRule:16 -->Mohaha</h2> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x-Mohaha"></a><!-- ws:end:WikiTextHeadingRule:16 -->Mohaha</h2> |