Chromatic pairs: Difference between revisions
Wikispaces>genewardsmith **Imported revision 350944120 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 350962506 - 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>2012-07-06 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-06 17:21:57 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>350962506</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 179: | Line 179: | ||
[[xenharmonic/marveltwintri11|Eleven note chromatic scale]] | [[xenharmonic/marveltwintri11|Eleven note chromatic scale]] | ||
[[xenharmonic/marveltwintri15|Fifteen note mega chromatic scale]] | [[xenharmonic/marveltwintri15|Fifteen note mega chromatic scale]] | ||
=Huntington= | |||
Subgroup: 2.5.7.13 | |||
Commas: 640/637, 10985/10976 | |||
Sval name: 10&27 | |||
[[Lp tuning|POL2 generator]]: ~16/13 = 357.002 | |||
[[Gencom]]: [2 16/13; 640/637 10985/10976] | |||
Gencom map: [<1 0 5 4 0 4|, <0 0 -9 -4 0 -1|] | |||
Map: [<1 5 4 4|, <0 -9 -4 -1|] | |||
EDOs: 7, 10, 17, 27, 37, 84, 121, 400 | |||
[[Lp tuning#L2 tuning|L2 error]]: 0.5409 cents | |||
[[image:huntington_400edo.jpg]] | |||
[[xenharmonic/huntington7|Seven note haplotonic scale]] | |||
[[xenharmonic/huntington10|Ten note albitonic scale]] | |||
[[xenharmonic/huntington17|Seventeen note chromatic scale]] | |||
=Slendric= | =Slendric= | ||
| Line 205: | Line 225: | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]////</span></span> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]////</span></span> | ||
by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] | by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] | ||
=Photia= | |||
Subgroup: 2.3.5.17.19 | |||
Commas: 171/170, 256/255, 324/323 | |||
Sval name: 12&41 | |||
Related temperament: [[xenharmonic/Schismatic family|schismatic]] | |||
[[Lp tuning|POL2 generator]]: ~3/2 = 701.470 | |||
[[Gencom]]: [2 3/2; 171/170 256/255 324/323] | |||
Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 7 -3|] | |||
Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|] | |||
EDOs: 7, 12, 17, 29, 41, 53, 65 | |||
[[Lp tuning#L2 tuning|L2 error]]: 0.6436 cents | |||
[[image:photia_65edo.png]] | |||
[[xenharmonic/photia7|Seven note albitonic scale]] | |||
[[xenharmonic/photia12|Twelve note chromatic scale]] | |||
=Neutraltet= | =Neutraltet= | ||
| Line 270: | Line 310: | ||
Svalname: 8&11 | Svalname: 8&11 | ||
[[Lp tuning|POL2 generator]]: ~9/7 = 438.465 | |||
[[Gencom]]: | [[Gencom]]: [2 9/7; 896/891 26411/26244] | ||
Gencom map: | Gencom map: [<1 5/2 0 5 2|, <0 -5/2 0 -6 4|] | ||
Map: [<1 0 -1 6|, <0 5 6 -4|] | Map: [<1 0 -1 6|, <0 5 6 -4|] | ||
EDOs: 8, 11, 30, 41, 52 | EDOs: 8, 11, 30, 41, 52 | ||
[[Lp tuning#L2 tuning|L2 error]]: 0.9130 cents | |||
[[xenharmonic/penta5|Five note haplotonic scale]] | [[xenharmonic/penta5|Five note haplotonic scale]] | ||
| Line 290: | Line 330: | ||
Related temperaments: guanyin, orwell | Related temperaments: guanyin, orwell | ||
[[Lp tuning|POL2 generator]]: ~7/6 = 270.093 | |||
[[Gencom]]: | [[Gencom]]: [2 7/6; 176/175 540/539] | ||
Gencom map: | Gencom map: [<1 -4/3 3 -1/3 5/3|, <0 4/3 -3 7/3 -11/3|] | ||
Map: [<1 0 2 -2|, <0 3 -1 5|] | Map: [<1 0 2 -2|, <0 3 -1 5|] | ||
EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd | EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd | ||
[[Lp tuning#L2 tuning|L2 error]]: 1.043 cents | |||
[[xenharmonic/guanyintet5|Five note haplotonic scale]] | [[xenharmonic/guanyintet5|Five note haplotonic scale]] | ||
[[xenharmonic/guanyintet9|Nine note albitonic scale]] | [[xenharmonic/guanyintet9|Nine note albitonic scale]] | ||
[[xenharmonic/guanyintet13|Thirteen note chromatic scale]] | [[xenharmonic/guanyintet13|Thirteen note chromatic scale]] | ||
=Shoe= | =Shoe= | ||
| Line 1,088: | Line 1,088: | ||
[[xenharmonic/augment12|Twelve note chromatic scale]]</pre></div> | [[xenharmonic/augment12|Twelve note chromatic scale]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<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>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:123:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:123 --><!-- ws:start:WikiTextTocRule:124: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:124 --><!-- ws:start:WikiTextTocRule:125: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:125 --><!-- ws:start:WikiTextTocRule:126: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:126 --><!-- ws:start:WikiTextTocRule:127: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:127 --><!-- ws:start:WikiTextTocRule:128: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:128 --><!-- ws:start:WikiTextTocRule:129: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:129 --><!-- ws:start:WikiTextTocRule:130: --><!-- ws:end:WikiTextTocRule:130 --><!-- ws:start:WikiTextTocRule:131: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:131 --><!-- ws:start:WikiTextTocRule:132: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:132 --><!-- ws:start:WikiTextTocRule:133: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:133 --><!-- ws:start:WikiTextTocRule:134: --> | <a href="# | <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>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:123:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:123 --><!-- ws:start:WikiTextTocRule:124: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:124 --><!-- ws:start:WikiTextTocRule:125: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:125 --><!-- ws:start:WikiTextTocRule:126: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:126 --><!-- ws:start:WikiTextTocRule:127: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:127 --><!-- ws:start:WikiTextTocRule:128: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:128 --><!-- ws:start:WikiTextTocRule:129: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:129 --><!-- ws:start:WikiTextTocRule:130: --><!-- ws:end:WikiTextTocRule:130 --><!-- ws:start:WikiTextTocRule:131: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:131 --><!-- ws:start:WikiTextTocRule:132: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:132 --><!-- ws:start:WikiTextTocRule:133: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:133 --><!-- ws:start:WikiTextTocRule:134: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:134 --><!-- ws:start:WikiTextTocRule:135: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:135 --><!-- ws:start:WikiTextTocRule:136: --><!-- ws:end:WikiTextTocRule:136 --><!-- ws:start:WikiTextTocRule:137: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:137 --><!-- ws:start:WikiTextTocRule:138: --> | <a href="#Neutraltet">Neutraltet</a><!-- ws:end:WikiTextTocRule:138 --><!-- ws:start:WikiTextTocRule:139: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:139 --><!-- ws:start:WikiTextTocRule:140: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:140 --><!-- ws:start:WikiTextTocRule:141: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:141 --><!-- ws:start:WikiTextTocRule:142: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:142 --><!-- ws:start:WikiTextTocRule:143: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:143 --><!-- ws:start:WikiTextTocRule:144: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:144 --><!-- ws:start:WikiTextTocRule:145: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:145 --><!-- ws:start:WikiTextTocRule:146: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:146 --><!-- ws:start:WikiTextTocRule:147: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:147 --><!-- ws:start:WikiTextTocRule:148: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:148 --><!-- ws:start:WikiTextTocRule:149: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:149 --><!-- ws:start:WikiTextTocRule:150: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:150 --><!-- ws:start:WikiTextTocRule:151: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:151 --><!-- ws:start:WikiTextTocRule:152: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:152 --><!-- ws:start:WikiTextTocRule:153: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:153 --><!-- ws:start:WikiTextTocRule:154: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:154 --><!-- ws:start:WikiTextTocRule:155: --><!-- ws:end:WikiTextTocRule:155 --><!-- ws:start:WikiTextTocRule:156: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:156 --><!-- ws:start:WikiTextTocRule:157: --><!-- ws:end:WikiTextTocRule:157 --><!-- ws:start:WikiTextTocRule:158: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:158 --><!-- ws:start:WikiTextTocRule:159: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:159 --><!-- ws:start:WikiTextTocRule:160: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:160 --><!-- ws:start:WikiTextTocRule:161: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:161 --><!-- ws:start:WikiTextTocRule:162: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:162 --><!-- ws:start:WikiTextTocRule:163: --><!-- ws:end:WikiTextTocRule:163 --><!-- ws:start:WikiTextTocRule:164: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --> | <a href="#Stacks">Stacks</a><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --><!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --><!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --> | <a href="#Semaphore">Semaphore</a><!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --> | ||
<!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/11052942?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;11052942&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://mediaplayer.yahoo.com/js"> | <!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/11052942?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;11052942&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://mediaplayer.yahoo.com/js"> | ||
</script><!-- ws:end:WikiTextMediaRule:0 --><br /> | </script><!-- ws:end:WikiTextMediaRule:0 --><br /> | ||
| Line 1,263: | Line 1,263: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri15">Fifteen note mega chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri15">Fifteen note mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:21:&lt;h1&gt; --><h1 id="toc10"><a name="Slendric"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:21:&lt;h1&gt; --><h1 id="toc10"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:21 -->Huntington</h1> | ||
Subgroup: 2.5.7.13<br /> | |||
Commas: 640/637, 10985/10976<br /> | |||
Sval name: 10&amp;27<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~16/13 = 357.002<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 16/13; 640/637 10985/10976]<br /> | |||
Gencom map: [&lt;1 0 5 4 0 4|, &lt;0 0 -9 -4 0 -1|]<br /> | |||
<br /> | |||
Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br /> | |||
EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br /> | |||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.5409 cents<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextLocalImageRule:195:&lt;img src=&quot;/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="huntington_400edo.jpg" title="huntington_400edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:195 --><br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington7">Seven note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington10">Ten note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington17">Seventeen note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:23:&lt;h1&gt; --><h1 id="toc11"><a name="Slendric"></a><!-- ws:end:WikiTextHeadingRule:23 -->Slendric</h1> | |||
Subgroup: 2.3.7<br /> | Subgroup: 2.3.7<br /> | ||
Comma: 1029/1024<br /> | Comma: 1029/1024<br /> | ||
| Line 1,277: | Line 1,297: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6357 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6357 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:196:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="slendric_190edo.jpg" title="slendric_190edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:196 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric5">Five note haplotonic scale</a><br /> | ||
| Line 1,284: | Line 1,304: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric16">Sixteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric16">Sixteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:25:&lt;h2&gt; --><h2 id="toc12"><a name="Slendric-Music"></a><!-- ws:end:WikiTextHeadingRule:25 -->Music</h2> | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3" rel="nofollow">The 11th Slendric Fanfare</a></span></span><br /> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3" rel="nofollow">The 11th Slendric Fanfare</a></span></span><br /> | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow">16 Slendric Virgins</a></span></span><br /> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow">16 Slendric Virgins</a></span></span><br /> | ||
by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br /> | by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:27:&lt;h1&gt; --><h1 id="toc13"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:27 -->Photia</h1> | ||
Subgroup: 2.3.5.17.19<br /> | |||
Commas: 171/170, 256/255, 324/323<br /> | |||
Sval name: 12&amp;41<br /> | |||
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">schismatic</a><br /> | |||
<br /> | |||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 701.470<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 171/170 256/255 324/323]<br /> | |||
Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 7 -3|]<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 /> | |||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6436 cents<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextLocalImageRule:197:&lt;img src=&quot;/file/view/photia_65edo.png/284863542/photia_65edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/photia_65edo.png/284863542/photia_65edo.png" alt="photia_65edo.png" title="photia_65edo.png" /><!-- ws:end:WikiTextLocalImageRule:197 --><br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia7">Seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia12">Twelve note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:29:&lt;h1&gt; --><h1 id="toc14"><a name="Neutraltet"></a><!-- ws:end:WikiTextHeadingRule:29 -->Neutraltet</h1> | |||
Subgroup: 2.3.11<br /> | Subgroup: 2.3.11<br /> | ||
Commas: 243/242<br /> | Commas: 243/242<br /> | ||
| Line 1,303: | Line 1,343: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6714 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6714 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:198:&lt;img src=&quot;/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png" alt="neutraltet_380edo.png" title="neutraltet_380edo.png" /><!-- ws:end:WikiTextLocalImageRule:198 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet7">Seven note albitonic scale</a><br /> | ||
| Line 1,309: | Line 1,349: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17">Seventeen note mega chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17">Seventeen note mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:31:&lt;h1&gt; --><h1 id="toc15"><a name="Marveltri"></a><!-- ws:end:WikiTextHeadingRule:31 -->Marveltri</h1> | ||
Subgroup: 2.5.9/7<br /> | Subgroup: 2.5.9/7<br /> | ||
Comma: 225/224<br /> | Comma: 225/224<br /> | ||
| Line 1,328: | Line 1,368: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri13">Thirteen note mega chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri13">Thirteen note mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:33:&lt;h1&gt; --><h1 id="toc16"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:33 -->Pepperoni</h1> | ||
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 1,343: | Line 1,383: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.8488 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.8488 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:199:&lt;img src=&quot;/file/view/pepperoni_271edo.png/284861296/pepperoni_271edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/pepperoni_271edo.png/284861296/pepperoni_271edo.png" alt="pepperoni_271edo.png" title="pepperoni_271edo.png" /><!-- ws:end:WikiTextLocalImageRule:199 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni7">Seven note albitonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni12">Twelve note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni12">Twelve note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:35:&lt;h1&gt; --><h1 id="toc17"><a name="Penta"></a><!-- ws:end:WikiTextHeadingRule:35 -->Penta</h1> | ||
Subgroup: 2.9.7.11<br /> | Subgroup: 2.9.7.11<br /> | ||
Commas: 896/891, 26411/26244<br /> | Commas: 896/891, 26411/26244<br /> | ||
Svalname: 8&amp;11<br /> | Svalname: 8&amp;11<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/7 = 438.465<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 896/891 26411/26244]<br /> | ||
Gencom map:<br /> | Gencom map: [&lt;1 5/2 0 5 2|, &lt;0 -5/2 0 -6 4|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]<br /> | Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]<br /> | ||
EDOs: 8, 11, 30, 41, 52<br /> | EDOs: 8, 11, 30, 41, 52<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.9130 cents<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta5">Five note haplotonic scale</a><br /> | ||
| Line 1,367: | Line 1,407: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta17">Seventeen note mega chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta17">Seventeen note mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:37:&lt;h1&gt; --><h1 id="toc18"><a name="Guanyintet"></a><!-- ws:end:WikiTextHeadingRule:37 -->Guanyintet</h1> | ||
Subgroup: 2.5.7/3.11/3<br /> | Subgroup: 2.5.7/3.11/3<br /> | ||
Commas: 176/175, 540/539<br /> | Commas: 176/175, 540/539<br /> | ||
| Line 1,373: | Line 1,413: | ||
Related temperaments: guanyin, orwell<br /> | Related temperaments: guanyin, orwell<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~7/6 = 270.093<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 176/175 540/539]<br /> | ||
Gencom map:<br /> | Gencom map: [&lt;1 -4/3 3 -1/3 5/3|, &lt;0 4/3 -3 7/3 -11/3|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]<br /> | Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]<br /> | ||
EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd<br /> | EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.043 cents<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet5">Five note haplotonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet9">Nine note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet9">Nine note albitonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet13">Thirteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet13">Thirteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:39:&lt;h1&gt; --><h1 id="toc19"><a name="Shoe"></a><!-- ws:end:WikiTextHeadingRule:39 -->Shoe</h1> | <!-- ws:start:WikiTextHeadingRule:39:&lt;h1&gt; --><h1 id="toc19"><a name="Shoe"></a><!-- ws:end:WikiTextHeadingRule:39 -->Shoe</h1> | ||