Chromatic pairs: Difference between revisions
Wikispaces>genewardsmith **Imported revision 355183574 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 355198306 - 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>2012-07-28 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-28 15:59:22 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>355198306</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/skateboard11|Eleven note albitonic scale]] | [[xenharmonic/skateboard11|Eleven note albitonic scale]] | ||
[[xenharmonic/skateboard15|Fifteen note chromatic scale]] | [[xenharmonic/skateboard15|Fifteen note chromatic scale]] | ||
=Kryptonite= | |||
Subgroup: 2.5.7/3.11/3.13/3 | |||
Commas: 56/55, 78/77, 91/90 | |||
Related temperaments: [[Sengic family|krypton]] | |||
[[Lp tuning|POL2 generator]]: ~13/12 = 132.428 | |||
[[Gencom]]: [2 13/12; 56/55 78/77 91/90] | |||
Gencom map: [<1 -5/4 2 -1/4 3/4 3/4|, <0 -1/2 3 3/2 -3/2 1/2|] | |||
Map: [<1 2 1 2 2|, <0 -3 -2 1 -1|] | |||
EDOs: 9, 63, 82bd, 91bde | |||
[[Lp tuning#L2 tuning|L2 error]]: 6.235 cents | |||
=Glacial= | =Glacial= | ||
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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:149:&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:149 --><!-- ws:start:WikiTextTocRule:150: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:150 --><!-- ws:start:WikiTextTocRule:151: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:151 --><!-- ws:start:WikiTextTocRule:152: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:152 --><!-- ws:start:WikiTextTocRule:153: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:153 --><!-- ws:start:WikiTextTocRule:154: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:154 --><!-- ws:start:WikiTextTocRule:155: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:155 --><!-- ws:start:WikiTextTocRule:156: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:156 --><!-- ws:start:WikiTextTocRule:157: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:157 --><!-- ws:start:WikiTextTocRule:158: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:158 --><!-- ws:start:WikiTextTocRule:159: --><!-- ws:end:WikiTextTocRule:159 --><!-- ws:start:WikiTextTocRule:160: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:160 --><!-- ws:start:WikiTextTocRule:161: --><!-- ws:end:WikiTextTocRule:161 --><!-- ws:start:WikiTextTocRule:162: --> | <a href="#Haumea">Haumea</a><!-- ws:end:WikiTextTocRule:162 --><!-- ws:start:WikiTextTocRule:163: --> | <a href="#Neutraltet">Neutraltet</a><!-- ws:end:WikiTextTocRule:163 --><!-- ws:start:WikiTextTocRule:164: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Edson">Edson</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --> | <a href="#Namo">Namo</a><!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --><!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextTocRule:186: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:186 --><!-- ws:start:WikiTextTocRule:187: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:187 --><!-- ws:start:WikiTextTocRule:188: --> | <a href="#Laz">Laz</a><!-- ws:end:WikiTextTocRule:188 --><!-- ws:start:WikiTextTocRule:189: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:189 --><!-- ws:start:WikiTextTocRule:190: --><!-- ws:end:WikiTextTocRule:190 --><!-- ws:start:WikiTextTocRule:191: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:191 --><!-- ws:start:WikiTextTocRule:192: --> | <a href="#Sulis">Sulis</a><!-- ws:end:WikiTextTocRule:192 --><!-- ws:start:WikiTextTocRule:193: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:193 --><!-- ws:start:WikiTextTocRule:194: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:194 --><!-- ws:start:WikiTextTocRule:195: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:195 --><!-- ws:start:WikiTextTocRule:196: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:196 --><!-- ws:start:WikiTextTocRule:197: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:197 --><!-- ws:start:WikiTextTocRule:198: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:198 --><!-- ws:start:WikiTextTocRule:199: --><!-- ws:end:WikiTextTocRule:199 --><!-- ws:start:WikiTextTocRule:200: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:200 --><!-- ws:start:WikiTextTocRule:201: --> | <a href="#Kiribati">Kiribati</a><!-- ws:end:WikiTextTocRule:201 --><!-- ws:start:WikiTextTocRule:202: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:202 --><!-- ws:start:WikiTextTocRule:203: --><!-- ws:end:WikiTextTocRule:203 --><!-- ws:start:WikiTextTocRule:204: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:204 --><!-- ws:start:WikiTextTocRule:205: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:205 --><!-- ws:start:WikiTextTocRule:206: --> | <a href="#Archy">Archy</a><!-- ws:end:WikiTextTocRule:206 --><!-- ws:start:WikiTextTocRule:207: --> | <a href="#Stacks">Stacks</a><!-- ws:end:WikiTextTocRule:207 --><!-- ws:start:WikiTextTocRule:208: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:208 --><!-- ws:start:WikiTextTocRule:209: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:209 --><!-- ws:start:WikiTextTocRule:210: --> | <a href="#Machine">Machine</a><!-- ws:end:WikiTextTocRule:210 --><!-- ws:start:WikiTextTocRule:211: --> | <a href="#Sephiroth">Sephiroth</a><!-- ws:end:WikiTextTocRule:211 --><!-- ws:start:WikiTextTocRule:212: --> | <a href="#Mohoho">Mohoho</a><!-- ws:end:WikiTextTocRule:212 --><!-- ws:start:WikiTextTocRule:213: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:213 --><!-- ws:start:WikiTextTocRule:214: --> | <a href="#Semaphore">Semaphore</a><!-- ws:end:WikiTextTocRule:214 --><!-- ws:start:WikiTextTocRule:215: --> | <a href="#Porkypine">Porkypine</a><!-- ws:end:WikiTextTocRule:215 --><!-- ws:start:WikiTextTocRule:216: --> | <a href="#Supraphon">Supraphon</a><!-- ws:end:WikiTextTocRule:216 --><!-- ws:start:WikiTextTocRule:217: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:217 --><!-- ws:start:WikiTextTocRule:218: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:218 --><!-- ws:start:WikiTextTocRule:219: --> | <a href="#Oregon">Oregon</a><!-- ws:end:WikiTextTocRule:219 --><!-- ws:start:WikiTextTocRule:220: --> | <a href="#Skateboard">Skateboard</a><!-- ws:end:WikiTextTocRule:220 --><!-- ws:start:WikiTextTocRule:221: --> | <a href="#Kryptonite">Kryptonite</a><!-- ws:end:WikiTextTocRule:221 --><!-- ws:start:WikiTextTocRule:222: --> | <a href="#Glacial">Glacial</a><!-- ws:end:WikiTextTocRule:222 --><!-- ws:start:WikiTextTocRule:223: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:223 --><!-- ws:start:WikiTextTocRule:224: --> | ||
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</script><!-- ws:end:WikiTextMediaRule:0 --><br /> | </script><!-- ws:end:WikiTextMediaRule:0 --><br /> | ||
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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 /> | ||
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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 /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:227:&lt;img src=&quot;/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png" alt="petrtri_385edo.png" title="petrtri_385edo.png" /><!-- ws:end:WikiTextLocalImageRule:227 --><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 /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:232:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg" alt="cata_246edo2.jpg" title="cata_246edo2.jpg" /><!-- ws:end:WikiTextLocalImageRule:232 --><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/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 /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:233:&lt;img src=&quot;/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png" alt="bridgetown_29edo.png" title="bridgetown_29edo.png" /><!-- ws:end:WikiTextLocalImageRule:233 --><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:234:&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:234 --><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 /> | ||
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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 /> | ||
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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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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:240:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="roulette_37edo.jpg" title="roulette_37edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:240 --><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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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:242:&lt;img src=&quot;/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg" alt="radon_128edo.jpg" title="radon_128edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:242 --><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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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:243:&lt;img src=&quot;/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg" alt="baldy_147edo.jpg" title="baldy_147edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:243 --><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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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:244:&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:244 --><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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<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:248:&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:248 --><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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<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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<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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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:253:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png" alt="orwell_84edo.png" title="orwell_84edo.png" /><!-- ws:end:WikiTextLocalImageRule:253 --><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:254:&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:254 --><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 /> | ||
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<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:255:&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:255 --><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:256:&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:256 --><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 /> | ||
| Line 2,202: | Line 2,216: | ||
<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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<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 /> | ||
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<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:113:&lt;h1&gt; --><h1 id="toc56"><a name="Archy"></a><!-- ws:end:WikiTextHeadingRule:113 -->Archy</h1> | <!-- ws:start:WikiTextHeadingRule:113:&lt;h1&gt; --><h1 id="toc56"><a name="Archy"></a><!-- ws:end:WikiTextHeadingRule:113 -->Archy</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="/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="/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/skateboard15">Fifteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skateboard15">Fifteen note chromatic scale</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule:143:&lt;h1&gt; --><h1 id="toc71"><a name="Glacial"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:143:&lt;h1&gt; --><h1 id="toc71"><a name="Kryptonite"></a><!-- ws:end:WikiTextHeadingRule:143 -->Kryptonite</h1> | ||
Subgroup: 2.5.7/3.11/3.13/3<br /> | |||
Commas: 56/55, 78/77, 91/90<br /> | |||
Related temperaments: <a class="wiki_link" href="/Sengic%20family">krypton</a><br /> | |||
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<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~13/12 = 132.428<br /> | |||
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<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/12; 56/55 78/77 91/90]<br /> | |||
Gencom map: [&lt;1 -5/4 2 -1/4 3/4 3/4|, &lt;0 -1/2 3 3/2 -3/2 1/2|]<br /> | |||
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Map: [&lt;1 2 1 2 2|, &lt;0 -3 -2 1 -1|]<br /> | |||
EDOs: 9, 63, 82bd, 91bde<br /> | |||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 6.235 cents<br /> | |||
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<!-- ws:start:WikiTextHeadingRule:145:&lt;h1&gt; --><h1 id="toc72"><a name="Glacial"></a><!-- ws:end:WikiTextHeadingRule:145 -->Glacial</h1> | |||
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:147:&lt;h1&gt; --><h1 id="toc73"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:147 -->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> | ||