Chromatic pairs: Difference between revisions
Wikispaces>genewardsmith **Imported revision 209619832 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 209624870 - 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>2011-03-11 11: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-11 11:21:57 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>209624870</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 22: | Line 22: | ||
[[terrain9|Nine note albitonic scale]] | [[terrain9|Nine note albitonic scale]] | ||
[[terrain15|Fifteen note chromatic scale]] | [[terrain15|Fifteen note chromatic scale]] | ||
==Nestoria== | |||
Subgroup: 2.3.5.19 | |||
Commas: 361/360, 513/512 | |||
Related temperament: [[Schismatic family|schismatic]] | |||
POTE generator: ~3/2 = 701.746 | |||
Map: [<1 0 15 9], <0 1 -8 -3|] | |||
EDOs: 7, 12, 17, 29, 41, 53, 118, 171 | |||
Error: 0.611 cents | |||
[[nestoria7|Seven note albitonic scale]] | |||
[[nestoria12|Twelve note chromatic scale]] | |||
===Photia=== | |||
Subgroup 2.3.5.17.19 | |||
Commas: 171/170, 256/255, 324/323 | |||
Related temperament: [[Schismatic family|schismatic]] | |||
POTE generator: ~3/2 = 701.470 | |||
Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|] | |||
EDOs: 7, 12, 17, 29, 41, 53, 65 | |||
Error: 1.512 cents | |||
[[photia7|Seven note albitonic scale]] | |||
[[photia12|Twelve note chromatic scale]] | |||
==Cata== | |||
Subgroup: 2.3.5.13 | |||
Commas: 325/324, 625/624 | |||
Related temperament: [[Kleismic family|catakleismic]] | |||
POTE generator: ~6/5 = 317.076 | |||
Map: [<1 0 1 0|, <0 6 5 14|] | |||
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246 | |||
Error: 0.735 cents | |||
[[cata7|Seven note albitonic scale]] | |||
[[cata11|Eleven note mega albitonic scale]] | |||
[[cata15|Fifteen note chromatic scale]] | |||
[[cata19|Nineteen note mega chromatic scale]] | |||
==Bridgetown== | ==Bridgetown== | ||
| Line 147: | Line 191: | ||
[[greeley15|Fifteen note chromatic scale]] | [[greeley15|Fifteen note chromatic scale]] | ||
==Baldy== | ==Baldy== | ||
| Line 303: | Line 307: | ||
<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-Bridgetown"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Nestoria"></a><!-- ws:end:WikiTextHeadingRule:2 -->Nestoria</h2> | ||
Subgroup: 2.3.5.19<br /> | |||
Commas: 361/360, 513/512<br /> | |||
Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br /> | |||
<br /> | |||
POTE generator: ~3/2 = 701.746<br /> | |||
<br /> | |||
Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]<br /> | |||
EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br /> | |||
Error: 0.611 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-Nestoria-Photia"></a><!-- ws:end:WikiTextHeadingRule:4 -->Photia</h3> | |||
Subgroup 2.3.5.17.19<br /> | |||
Commas: 171/170, 256/255, 324/323<br /> | |||
Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br /> | |||
<br /> | |||
POTE generator: ~3/2 = 701.470<br /> | |||
<br /> | |||
Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br /> | |||
EDOs: 7, 12, 17, 29, 41, 53, 65<br /> | |||
Error: 1.512 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-Cata"></a><!-- ws:end:WikiTextHeadingRule:6 -->Cata</h2> | |||
Subgroup: 2.3.5.13<br /> | |||
Commas: 325/324, 625/624<br /> | |||
Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br /> | |||
<br /> | |||
POTE generator: ~6/5 = 317.076<br /> | |||
<br /> | |||
Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br /> | |||
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<br /> | |||
Error: 0.735 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="/cata11">Eleven note mega albitonic scale</a><br /> | |||
<a class="wiki_link" href="/cata15">Fifteen note chromatic scale</a><br /> | |||
<a class="wiki_link" href="/cata19">Nineteen note mega chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x-Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:8 -->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 /> | ||
| Line 317: | Line 365: | ||
<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:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-Hemif"></a><!-- ws:end:WikiTextHeadingRule:10 -->Hemif</h2> | ||
Subgroup: 2.3.7.11.13<br /> | Subgroup: 2.3.7.11.13<br /> | ||
Commas: 144/143, 243/242, 364/363<br /> | Commas: 144/143, 243/242, 364/363<br /> | ||
| Line 332: | Line 380: | ||
<a class="wiki_link" href="/hemif17">Seventeen note chromatic scale</a><br /> | <a class="wiki_link" href="/hemif17">Seventeen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x-Radon"></a><!-- ws:end:WikiTextHeadingRule:12 -->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 /> | ||
| Line 347: | Line 395: | ||
<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 /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="x-Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:14 -->Pepperoni</h2> | ||
Subgroup: 2.3.11/7.13/7<br /> | Subgroup: 2.3.11/7.13/7<br /> | ||
Commas: 352/351, 364/363<br /> | Commas: 352/351, 364/363<br /> | ||
| Line 361: | Line 409: | ||
<a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br /> | <a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x-Skwares"></a><!-- ws:end:WikiTextHeadingRule:16 -->Skwares</h2> | ||
Subgroup: 2.3.7.11<br /> | Subgroup: 2.3.7.11<br /> | ||
Commas: 99/98, 243/242<br /> | Commas: 99/98, 243/242<br /> | ||
| Line 376: | Line 424: | ||
<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: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="x-Mohaha"></a><!-- ws:end:WikiTextHeadingRule:18 -->Mohaha</h2> | ||
Subgroup: 2.3.5.11<br /> | Subgroup: 2.3.5.11<br /> | ||
Commas: 81/80, 121/120<br /> | Commas: 81/80, 121/120<br /> | ||
| Line 390: | Line 438: | ||
<a class="wiki_link" href="/mohaha10">Ten note chromatic scale</a><br /> | <a class="wiki_link" href="/mohaha10">Ten note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="x-Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:20 -->Mohoho</h3> | ||
Subgroup: 2.3.5.11.13<br /> | Subgroup: 2.3.5.11.13<br /> | ||
Commas: 66/65, 81/80, 121/120<br /> | Commas: 66/65, 81/80, 121/120<br /> | ||
| Line 400: | Line 448: | ||
Error: 4.829 cents<br /> | Error: 4.829 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="x-Supra"></a><!-- ws:end:WikiTextHeadingRule:22 -->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 /> | ||
| Line 414: | Line 462: | ||
<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 /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="x-Greeley"></a><!-- ws:end:WikiTextHeadingRule:24 -->Greeley</h2> | ||
Subgroup: 2.5/3.7/3.11/3<br /> | Subgroup: 2.5/3.7/3.11/3<br /> | ||
Commas: 121/120, 126/125<br /> | Commas: 121/120, 126/125<br /> | ||
| Line 427: | Line 475: | ||
<a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a><br /> | <a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x-Baldy"></a><!-- ws:end:WikiTextHeadingRule:26 -->Baldy</h2> | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x-Baldy"></a><!-- ws:end:WikiTextHeadingRule:26 -->Baldy</h2> | ||