Chromatic pairs: Difference between revisions
Wikispaces>genewardsmith **Imported revision 352723056 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 352834232 - 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>2012-07-12 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-12 12:59:21 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>352834232</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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[[xenharmonic/semiphore9|Nine note albitonic scale]] | [[xenharmonic/semiphore9|Nine note albitonic scale]] | ||
[[xenharmonic/semiphore14|Fourteen note chromatic scale]] | [[xenharmonic/semiphore14|Fourteen note chromatic scale]] | ||
=Porkypine= | |||
Subgroup: 2.3.5.11 | |||
Commas: 55/54, 100/99 | |||
[[Lp tuning|POL2 generator]]: ~10/9 = 164.078 | |||
[[Gencom]]: [2 10/9; 55/54 100/99] | |||
Gencom map: [<1 2 3 0 4|], <0 -3 -5 0 -4|] | |||
Map: [<1 2 3 4|, <0 3 5 4|] | |||
EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd | |||
[[Lp tuning#L2 tuning|L2 error]]: 5.114 | |||
[[xenharmonic/porkypine7|Seven note haplotonic scale]] | |||
[[xenharmonic/porkypine8|Eight note albitonic scale]] | |||
[[xenharmonic/porkypine15|Fifteen note chromatic scale]] | |||
=Supraphon= | =Supraphon= | ||
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[[xenharmonic/leantone13|Thirteen note chromatic scale]]</pre></div> | [[xenharmonic/leantone13|Thirteen 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: | <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:131:&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:131 --><!-- ws:start:WikiTextTocRule:132: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:132 --><!-- ws:start:WikiTextTocRule:133: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:133 --><!-- ws:start:WikiTextTocRule:134: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:134 --><!-- ws:start:WikiTextTocRule:135: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:135 --><!-- ws:start:WikiTextTocRule:136: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:136 --><!-- ws:start:WikiTextTocRule:137: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:137 --><!-- ws:start:WikiTextTocRule:138: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:138 --><!-- ws:start:WikiTextTocRule:139: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:139 --><!-- ws:start:WikiTextTocRule:140: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:140 --><!-- ws:start:WikiTextTocRule:141: --><!-- ws:end:WikiTextTocRule:141 --><!-- ws:start:WikiTextTocRule:142: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:142 --><!-- ws:start:WikiTextTocRule:143: --><!-- ws:end:WikiTextTocRule:143 --><!-- ws:start:WikiTextTocRule:144: --> | <a href="#Neutraltet">Neutraltet</a><!-- ws:end:WikiTextTocRule:144 --><!-- ws:start:WikiTextTocRule:145: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:145 --><!-- ws:start:WikiTextTocRule:146: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:146 --><!-- ws:start:WikiTextTocRule:147: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:147 --><!-- ws:start:WikiTextTocRule:148: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:148 --><!-- ws:start:WikiTextTocRule:149: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:149 --><!-- ws:start:WikiTextTocRule:150: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:150 --><!-- ws:start:WikiTextTocRule:151: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:151 --><!-- ws:start:WikiTextTocRule:152: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:152 --><!-- ws:start:WikiTextTocRule:153: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:153 --><!-- ws:start:WikiTextTocRule:154: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:154 --><!-- ws:start:WikiTextTocRule:155: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:155 --><!-- ws:start:WikiTextTocRule:156: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:156 --><!-- ws:start:WikiTextTocRule:157: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:157 --><!-- ws:start:WikiTextTocRule:158: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:158 --><!-- ws:start:WikiTextTocRule:159: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:159 --><!-- ws:start:WikiTextTocRule:160: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:160 --><!-- ws:start:WikiTextTocRule:161: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:161 --><!-- ws:start:WikiTextTocRule:162: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:162 --><!-- ws:start:WikiTextTocRule:163: --><!-- ws:end:WikiTextTocRule:163 --><!-- ws:start:WikiTextTocRule:164: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --><!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --><!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --> | <a href="#Stacks">Stacks</a><!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --> | <a href="#Machine">Machine</a><!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextTocRule:186: --> | <a href="#Sephiroth">Sephiroth</a><!-- ws:end:WikiTextTocRule:186 --><!-- ws:start:WikiTextTocRule:187: --> | <a href="#Mohoho">Mohoho</a><!-- ws:end:WikiTextTocRule:187 --><!-- ws:start:WikiTextTocRule:188: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:188 --><!-- ws:start:WikiTextTocRule:189: --> | <a href="#Semaphore">Semaphore</a><!-- ws:end:WikiTextTocRule:189 --><!-- ws:start:WikiTextTocRule:190: --> | <a href="#Porkypine">Porkypine</a><!-- ws:end:WikiTextTocRule:190 --><!-- ws:start:WikiTextTocRule:191: --> | <a href="#Supraphon">Supraphon</a><!-- ws:end:WikiTextTocRule:191 --><!-- ws:start:WikiTextTocRule:192: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:192 --><!-- ws:start:WikiTextTocRule:193: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:193 --><!-- ws:start:WikiTextTocRule:194: --> | <a href="#Oregon">Oregon</a><!-- ws:end:WikiTextTocRule:194 --><!-- ws:start:WikiTextTocRule:195: --> | <a href="#Glacial">Glacial</a><!-- ws:end:WikiTextTocRule:195 --><!-- ws:start:WikiTextTocRule:196: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:196 --><!-- ws:start:WikiTextTocRule:197: --> | ||
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Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br /> | Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9">Nine note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9">Nine note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.1835 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.1835 cents<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri5">Five note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.3950 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.3950 cents<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8">Eight note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.4222 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.4222 cents<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7">Seven note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.4987 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.4987 cents<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria7">Seven note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.5985 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.5985 cents<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri7">Seven note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6001 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6001 cents<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7">Seven note albitonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11">Eleven note mega albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11">Eleven note mega albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6154 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6154 cents<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">Nine note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">Nine note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6403 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6403 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:207:&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:207 --><br /> | ||
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<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 /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6756 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6756 cents<br /> | ||
<br /> | <br /> | ||
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<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 /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.8455 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.8455 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:209:&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:209 --><br /> | ||
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<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/huntington7">Seven note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.9282 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.9282 cents<br /> | ||
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<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 /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.9904 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.9904 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8">Eight note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.331 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.331 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5">shoe5</a> - five note mini <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5">shoe5</a> - five note mini <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.364 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.364 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6">roulette6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6">roulette6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.451 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.451 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi12">Twelve note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi12">Twelve note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.454 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.454 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5">Five note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.469 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.469 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6">baldy6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6">baldy6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.520 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.520 cents<br /> | ||
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<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/photia7">Seven note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.546 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.546 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:218:&lt;img src=&quot;/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg" alt="mabila_66edo.jpg" title="mabila_66edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:218 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila7">Seven note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila7">Seven note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.557 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.557 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7">silver7</a> -seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7">silver7</a> -seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.741 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.741 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium8">Eight note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.756 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.756 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:221:&lt;img src=&quot;/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg" alt="hemif_58edo.jpg" title="hemif_58edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:221 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7">Seven note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7">Seven note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.903 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.903 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:222:&lt;img src=&quot;/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="myna_89edo.jpg" title="myna_89edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:222 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7">Seven note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7">Seven note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.070 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.070 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft5">Five note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.313 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.313 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley8">Eight note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.457 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.457 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:225:&lt;img src=&quot;/file/view/skwares_206edo.png/284589566/skwares_206edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/skwares_206edo.png/284589566/skwares_206edo.png" alt="skwares_206edo.png" title="skwares_206edo.png" /><!-- ws:end:WikiTextLocalImageRule:225 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares8">Eight note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.574 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.574 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5">Five note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.577 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.577 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:227:&lt;img src=&quot;/file/view/semidim_770edo.png/284868918/semidim_770edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/semidim_770edo.png/284868918/semidim_770edo.png" alt="semidim_770edo.png" title="semidim_770edo.png" /><!-- ws:end:WikiTextLocalImageRule:227 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim8">Eight note albitonic scale</a><br /> | ||
| Line 1,892: | Line 1,909: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.647 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.647 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:228:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:228 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.741 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.741 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:229:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg" alt="magic_145edo.jpg" title="magic_145edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:229 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic7">Seven note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic7">Seven note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.763 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.763 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:230:&lt;img src=&quot;/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:230 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5">Five note haplotonic scale</a><br /> | ||
| Line 1,975: | Line 1,992: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.113 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.113 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7">Seven note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.141 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.141 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/score5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score5">Five note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13">Thirteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13">Thirteen note chromatic scale</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule:101:&lt;h1&gt; --><h1 id="toc50"><a name="Stacks"></a><!-- ws:end:WikiTextHeadingRule:101 -->Stacks</h1> | <!-- ws:start:WikiTextHeadingRule:101:&lt;h1&gt; --><h1 id="toc50"><a name="Stacks"></a><!-- ws:end:WikiTextHeadingRule:101 -->Stacks</h1> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.292 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.292 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8">bleu8</a> - Eight note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8">bleu8</a> - Eight note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.421 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.421 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra7">Seven note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.421 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.421 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine5">Five note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.906 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.906 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone6">Six note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.046 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.046 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore5">Five note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore14">Fourteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore14">Fourteen note chromatic scale</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule:117:&lt;h1&gt; --><h1 id="toc58"><a name="Supraphon"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:117:&lt;h1&gt; --><h1 id="toc58"><a name="Porkypine"></a><!-- ws:end:WikiTextHeadingRule:117 -->Porkypine</h1> | ||
Subgroup: 2.3.5.11<br /> | |||
Commas: 55/54, 100/99<br /> | |||
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<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~10/9 = 164.078<br /> | |||
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<a class="wiki_link" href="/Gencom">Gencom</a>: [2 10/9; 55/54 100/99]<br /> | |||
Gencom map: [&lt;1 2 3 0 4|], &lt;0 -3 -5 0 -4|]<br /> | |||
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Map: [&lt;1 2 3 4|, &lt;0 3 5 4|]<br /> | |||
EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd<br /> | |||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.114<br /> | |||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine7">Seven note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine8">Eight note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine15">Fifteen note chromatic scale</a><br /> | |||
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Subgroup: 2.3.7.11.13<br /> | Subgroup: 2.3.7.11.13<br /> | ||
Commas: 64/63, 78/77, 99/98<br /> | Commas: 64/63, 78/77, 99/98<br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.132 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.132 cents<br /> | ||
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Subgroup: 2.9.5.7<br /> | Subgroup: 2.9.5.7<br /> | ||
Commas: 50/49, 64/63<br /> | Commas: 50/49, 64/63<br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.145 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.145 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera6">Six note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera16">Sixteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera16">Sixteen note chromatic scale</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:123:&lt;h1&gt; --><h1 id="toc61"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:123 -->Augment</h1> | ||
Subgroup: 2.5.7.11<br /> | Subgroup: 2.5.7.11<br /> | ||
Commas: 56/55, 128/125<br /> | Commas: 56/55, 128/125<br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.415 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.415 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment6">Six note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12">Twelve note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12">Twelve note chromatic scale</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:125:&lt;h1&gt; --><h1 id="toc62"><a name="Oregon"></a><!-- ws:end:WikiTextHeadingRule:125 -->Oregon</h1> | ||
Subgroup: 2.9.15.7.11<br /> | Subgroup: 2.9.15.7.11<br /> | ||
Commas: 55/54, 64/63, 100/99<br /> | Commas: 55/54, 64/63, 100/99<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/oregon15">Fifteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/oregon15">Fifteen note chromatic scale</a><br /> | ||
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Subgroup: 2.9.5.11.13<br /> | Subgroup: 2.9.5.11.13<br /> | ||
Commas: 45/44, 65/64, 81/80<br /> | Commas: 45/44, 65/64, 81/80<br /> | ||
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<a class="wiki_link" href="/glacial13">Thirteen note chromatic scale</a><br /> | <a class="wiki_link" href="/glacial13">Thirteen note chromatic scale</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:129:&lt;h1&gt; --><h1 id="toc64"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:129 -->Leantone</h1> | ||
Subgroup: 2.9.5.7.11<br /> | Subgroup: 2.9.5.7.11<br /> | ||
Commas: 45/44, 56/55, 81/80<br /> | Commas: 45/44, 56/55, 81/80<br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 8.680 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 8.680 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone6">Six note haplotonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone7">Seven note albitonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone13">Thirteen note chromatic scale</a></body></html></pre></div> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone13">Thirteen note chromatic scale</a></body></html></pre></div> | ||