Meantone family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 327495430 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 328837864 - 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- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-02 14:43:41 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>328837864</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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EDOs: 12e, 19, 31f, 50f | EDOs: 12e, 19, 31f, 50f | ||
Badness: 0.0277 | Badness: 0.0277 | ||
==Meanenneadecal== | ==Meanenneadecal== | ||
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EDOs: 7, 12, 43de | EDOs: 7, 12, 43de | ||
Badness: 0.0220 | Badness: 0.0220 | ||
== == | |||
==Domination== | |||
Commas: 36/35, 64/63, 77/75 | |||
POTE generator: ~3/2 = 705.004 | |||
Map: [<1 0 -4 6 -14|, <0 1 4 -2 11|] | |||
EDOs: 17c, 46cd | |||
Badness: 0.0366 | |||
==13-limit== | |||
Commas: 26/25, 36/35, 64/63, 66/65 | |||
POTE generator: ~3/2 = 705.496 | |||
Map: [<1 0 -4 6 -14 -9|, <0 1 4 -2 11 8|] | |||
EDOs: 17c | |||
Badness: 0.0274 | |||
==Twelve== | ==Twelve== | ||
Commas: 81/80 64/63 45/44 65/64 256/255 153/152 | Commas: 81/80 64/63 45/44 65/64 256/255 153/152 | ||
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Badness: 0.0364</pre></div> | Badness: 0.0364</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>Meantone family</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>Meantone family</title></head><body><!-- ws:start:WikiTextTocRule:154:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:154 --><!-- ws:start:WikiTextTocRule:155: --><div style="margin-left: 2em;"><a href="#x-Seven limit children">Seven limit children</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:155 --><!-- ws:start:WikiTextTocRule:156: --><div style="margin-left: 1em;"><a href="#Septimal meantone">Septimal meantone</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:156 --><!-- ws:start:WikiTextTocRule:157: --><div style="margin-left: 2em;"><a href="#Septimal meantone-Unidecimal meantone aka Huygens">Unidecimal meantone aka Huygens</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:157 --><!-- ws:start:WikiTextTocRule:158: --><div style="margin-left: 3em;"><a href="#Septimal meantone-Unidecimal meantone aka Huygens-Tridecimal meantone">Tridecimal meantone</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:158 --><!-- ws:start:WikiTextTocRule:159: --><div style="margin-left: 3em;"><a href="#Septimal meantone-Unidecimal meantone aka Huygens-Grosstone">Grosstone</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:159 --><!-- ws:start:WikiTextTocRule:160: --><div style="margin-left: 3em;"><a href="#Septimal meantone-Unidecimal meantone aka Huygens-Meridetone">Meridetone</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:160 --><!-- ws:start:WikiTextTocRule:161: --><div style="margin-left: 2em;"><a href="#Septimal meantone-Meanpop">Meanpop</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:161 --><!-- ws:start:WikiTextTocRule:162: --><div style="margin-left: 3em;"><a href="#Septimal meantone-Meanpop-13-limit Meanpop">13-limit Meanpop</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:162 --><!-- ws:start:WikiTextTocRule:163: --><div style="margin-left: 3em;"><a href="#Septimal meantone-Meanpop-Meanplop">Meanplop</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:163 --><!-- ws:start:WikiTextTocRule:164: --><div style="margin-left: 2em;"><a href="#Septimal meantone-Meanenneadecal">Meanenneadecal</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --><div style="margin-left: 3em;"><a href="#Septimal meantone-Meanenneadecal-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --><div style="margin-left: 3em;"><a href="#Septimal meantone-Meanenneadecal-Vincenzo">Vincenzo</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --><div style="margin-left: 2em;"><a href="#Septimal meantone-Meanundeci">Meanundeci</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --><div style="margin-left: 1em;"><a href="#Flattone">Flattone</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --><div style="margin-left: 2em;"><a href="#Flattone-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --><div style="margin-left: 2em;"><a href="#Flattone-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --><div style="margin-left: 1em;"><a href="#Dominant">Dominant</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --><div style="margin-left: 2em;"><a href="#Dominant-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --><div style="margin-left: 2em;"><a href="#Dominant-Domineering">Domineering</a></div> | ||
<!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --><div style="margin-left: 2em;"><a href="#Dominant-Domination">Domination</a></div> | |||
<!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --><div style="margin-left: 2em;"><a href="#Dominant- | |||
<!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --><div style="margin-left: 2em;"><a href="#Dominant-13-limit">13-limit</a></div> | <!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --><div style="margin-left: 2em;"><a href="#Dominant-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --><div style="margin-left: 2em;"><a href="#Dominant- | <!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --><div style="margin-left: 2em;"><a href="#Dominant-Twelve">Twelve</a></div> | ||
<!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --><div style="margin-left: 2em;"><a href="#Dominant-Arnold">Arnold</a></div> | ||
<!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --><div style="margin-left: 2em;"><a href="#Dominant-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --><div style="margin-left: 2em;"><a href="#Dominant-Dominatrix">Dominatrix</a></div> | ||
<!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --><div style="margin-left: 1em;"><a href="# | <!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --><div style="margin-left: 1em;"><a href="#Sharptone">Sharptone</a></div> | ||
<!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --><div style="margin-left: 1em;"><a href="#Meansept">Meansept</a></div> | ||
<!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --><div style="margin-left: 2em;"><a href="#Meansept-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --><div style="margin-left: 1em;"><a href="#Injera">Injera</a></div> | ||
<!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --><div style="margin-left: 2em;"><a href="#Injera- | <!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --><div style="margin-left: 2em;"><a href="#Injera-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --><div style="margin-left: 2em;"><a href="#Injera- | <!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --><div style="margin-left: 2em;"><a href="#Injera-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextTocRule:186: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextTocRule:186: --><div style="margin-left: 2em;"><a href="#Injera-Enjera">Enjera</a></div> | ||
<!-- ws:end:WikiTextTocRule:186 --><!-- ws:start:WikiTextTocRule:187: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:186 --><!-- ws:start:WikiTextTocRule:187: --><div style="margin-left: 2em;"><a href="#Injera-Injerous">Injerous</a></div> | ||
<!-- ws:end:WikiTextTocRule:187 --><!-- ws:start:WikiTextTocRule:188: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:187 --><!-- ws:start:WikiTextTocRule:188: --><div style="margin-left: 2em;"><a href="#Injera-Lahoh">Lahoh</a></div> | ||
<!-- ws:end:WikiTextTocRule:188 --><!-- ws:start:WikiTextTocRule:189: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:188 --><!-- ws:start:WikiTextTocRule:189: --><div style="margin-left: 1em;"><a href="#Godzilla">Godzilla</a></div> | ||
<!-- ws:end:WikiTextTocRule:189 --><!-- ws:start:WikiTextTocRule:190: --><div style="margin-left: 2em;"><a href="#Godzilla- | <!-- ws:end:WikiTextTocRule:189 --><!-- ws:start:WikiTextTocRule:190: --><div style="margin-left: 2em;"><a href="#Godzilla-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:190 --><!-- ws:start:WikiTextTocRule:191: --><div style="margin-left: 2em;"><a href="#Godzilla- | <!-- ws:end:WikiTextTocRule:190 --><!-- ws:start:WikiTextTocRule:191: --><div style="margin-left: 2em;"><a href="#Godzilla-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:191 --><!-- ws:start:WikiTextTocRule:192: --><div style="margin-left: 2em;"><a href="#Godzilla- | <!-- ws:end:WikiTextTocRule:191 --><!-- ws:start:WikiTextTocRule:192: --><div style="margin-left: 2em;"><a href="#Godzilla-Semafour">Semafour</a></div> | ||
<!-- ws:end:WikiTextTocRule:192 --><!-- ws:start:WikiTextTocRule:193: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:192 --><!-- ws:start:WikiTextTocRule:193: --><div style="margin-left: 2em;"><a href="#Godzilla-Varan">Varan</a></div> | ||
<!-- ws:end:WikiTextTocRule:193 --><!-- ws:start:WikiTextTocRule:194: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:193 --><!-- ws:start:WikiTextTocRule:194: --><div style="margin-left: 2em;"><a href="#Godzilla-Baragon">Baragon</a></div> | ||
<!-- ws:end:WikiTextTocRule:194 --><!-- ws:start:WikiTextTocRule:195: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:194 --><!-- ws:start:WikiTextTocRule:195: --><div style="margin-left: 2em;"><a href="#Godzilla-Music">Music</a></div> | ||
<!-- ws:end:WikiTextTocRule:195 --><!-- ws:start:WikiTextTocRule:196: --><div style="margin-left: 1em;"><a href="# | <!-- ws:end:WikiTextTocRule:195 --><!-- ws:start:WikiTextTocRule:196: --><div style="margin-left: 1em;"><a href="#Mohajira">Mohajira</a></div> | ||
<!-- ws:end:WikiTextTocRule:196 --><!-- ws:start:WikiTextTocRule:197: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:196 --><!-- ws:start:WikiTextTocRule:197: --><div style="margin-left: 2em;"><a href="#Mohajira-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:197 --><!-- ws:start:WikiTextTocRule:198: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:197 --><!-- ws:start:WikiTextTocRule:198: --><div style="margin-left: 2em;"><a href="#Mohajira-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:198 --><!-- ws:start:WikiTextTocRule:199: --><div style="margin-left: 1em;"><a href="# | <!-- ws:end:WikiTextTocRule:198 --><!-- ws:start:WikiTextTocRule:199: --><div style="margin-left: 1em;"><a href="#Maqamic">Maqamic</a></div> | ||
<!-- ws:end:WikiTextTocRule:199 --><!-- ws:start:WikiTextTocRule:200: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:199 --><!-- ws:start:WikiTextTocRule:200: --><div style="margin-left: 2em;"><a href="#Maqamic-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:200 --><!-- ws:start:WikiTextTocRule:201: --><div style="margin-left: 1em;"><a href="# | <!-- ws:end:WikiTextTocRule:200 --><!-- ws:start:WikiTextTocRule:201: --><div style="margin-left: 1em;"><a href="#Migration">Migration</a></div> | ||
<!-- ws:end:WikiTextTocRule:201 --><!-- ws:start:WikiTextTocRule:202: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:201 --><!-- ws:start:WikiTextTocRule:202: --><div style="margin-left: 1em;"><a href="#Mohamaq">Mohamaq</a></div> | ||
<!-- ws:end:WikiTextTocRule:202 --><!-- ws:start:WikiTextTocRule:203: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:202 --><!-- ws:start:WikiTextTocRule:203: --><div style="margin-left: 2em;"><a href="#Mohamaq-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:203 --><!-- ws:start:WikiTextTocRule:204: --><div style="margin-left: 1em;"><a href="# | <!-- ws:end:WikiTextTocRule:203 --><!-- ws:start:WikiTextTocRule:204: --><div style="margin-left: 1em;"><a href="#Orphic">Orphic</a></div> | ||
<!-- ws:end:WikiTextTocRule:204 --><!-- ws:start:WikiTextTocRule:205: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:204 --><!-- ws:start:WikiTextTocRule:205: --><div style="margin-left: 2em;"><a href="#Orphic-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:205 --><!-- ws:start:WikiTextTocRule:206: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:205 --><!-- ws:start:WikiTextTocRule:206: --><div style="margin-left: 2em;"><a href="#Orphic-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:206 --><!-- ws:start:WikiTextTocRule:207: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:206 --><!-- ws:start:WikiTextTocRule:207: --><div style="margin-left: 1em;"><a href="#Mothra">Mothra</a></div> | ||
<!-- ws:end:WikiTextTocRule:207 --><!-- ws:start:WikiTextTocRule:208: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:207 --><!-- ws:start:WikiTextTocRule:208: --><div style="margin-left: 2em;"><a href="#Mothra-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:208 --><!-- ws:start:WikiTextTocRule:209: --><div style="margin-left: 2em;"><a href="#Mothra- | <!-- ws:end:WikiTextTocRule:208 --><!-- ws:start:WikiTextTocRule:209: --><div style="margin-left: 2em;"><a href="#Mothra-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:209 --><!-- ws:start:WikiTextTocRule:210: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:209 --><!-- ws:start:WikiTextTocRule:210: --><div style="margin-left: 2em;"><a href="#Mothra-Cynder">Cynder</a></div> | ||
<!-- ws:end:WikiTextTocRule:210 --><!-- ws:start:WikiTextTocRule:211: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:210 --><!-- ws:start:WikiTextTocRule:211: --><div style="margin-left: 3em;"><a href="#Mothra-Cynder-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:211 --><!-- ws:start:WikiTextTocRule:212: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:211 --><!-- ws:start:WikiTextTocRule:212: --><div style="margin-left: 2em;"><a href="#Mothra-Mosura">Mosura</a></div> | ||
<!-- ws:end:WikiTextTocRule:212 --><!-- ws:start:WikiTextTocRule:213: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:212 --><!-- ws:start:WikiTextTocRule:213: --><div style="margin-left: 3em;"><a href="#Mothra-Mosura-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:213 --><!-- ws:start:WikiTextTocRule:214: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:213 --><!-- ws:start:WikiTextTocRule:214: --><div style="margin-left: 1em;"><a href="#Squares">Squares</a></div> | ||
<!-- ws:end:WikiTextTocRule:214 --><!-- ws:start:WikiTextTocRule:215: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:214 --><!-- ws:start:WikiTextTocRule:215: --><div style="margin-left: 2em;"><a href="#Squares-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:215 --><!-- ws:start:WikiTextTocRule:216: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:215 --><!-- ws:start:WikiTextTocRule:216: --><div style="margin-left: 2em;"><a href="#Squares-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:216 --><!-- ws:start:WikiTextTocRule:217: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:216 --><!-- ws:start:WikiTextTocRule:217: --><div style="margin-left: 2em;"><a href="#Squares-Agora">Agora</a></div> | ||
<!-- ws:end:WikiTextTocRule:217 --><!-- ws:start:WikiTextTocRule:218: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:217 --><!-- ws:start:WikiTextTocRule:218: --><div style="margin-left: 1em;"><a href="#Cuboctahedra">Cuboctahedra</a></div> | ||
<!-- ws:end:WikiTextTocRule:218 --><!-- ws:start:WikiTextTocRule:219: --><div style="margin-left: 2em;"><a href="# | <!-- ws:end:WikiTextTocRule:218 --><!-- ws:start:WikiTextTocRule:219: --><div style="margin-left: 2em;"><a href="#Cuboctahedra-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:219 --><!-- ws:start:WikiTextTocRule:220: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:219 --><!-- ws:start:WikiTextTocRule:220: --><div style="margin-left: 1em;"><a href="#Liese">Liese</a></div> | ||
<!-- ws:end:WikiTextTocRule:220 --><!-- ws:start:WikiTextTocRule:221: --><div style="margin-left: 2em;"><a href="#Liese- | <!-- ws:end:WikiTextTocRule:220 --><!-- ws:start:WikiTextTocRule:221: --><div style="margin-left: 2em;"><a href="#Liese-Liesel">Liesel</a></div> | ||
<!-- ws:end:WikiTextTocRule:221 --><!-- ws:start:WikiTextTocRule:222: --><div style="margin-left: 2em;"><a href="#Liese-13-limit">13-limit</a></div> | <!-- ws:end:WikiTextTocRule:221 --><!-- ws:start:WikiTextTocRule:222: --><div style="margin-left: 2em;"><a href="#Liese-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:222 --><!-- ws:start:WikiTextTocRule:223: --><div style="margin-left: 1em;"><a href="#Jerome">Jerome</a></div> | <!-- ws:end:WikiTextTocRule:222 --><!-- ws:start:WikiTextTocRule:223: --><div style="margin-left: 2em;"><a href="#Liese-Elisa">Elisa</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:223 --><!-- ws:start:WikiTextTocRule:224: --><div style="margin-left: 2em;"><a href="#Liese-Lisa">Lisa</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:224 --><!-- ws:start:WikiTextTocRule:225: --><div style="margin-left: 2em;"><a href="#Liese-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:225 --><!-- ws:start:WikiTextTocRule:226: --><div style="margin-left: 1em;"><a href="#Jerome">Jerome</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:226 --><!-- ws:start:WikiTextTocRule:227: --><div style="margin-left: 2em;"><a href="#Jerome-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:227 --><!-- ws:start:WikiTextTocRule:228: --><div style="margin-left: 2em;"><a href="#Jerome-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:228 --><!-- ws:start:WikiTextTocRule:229: --><div style="margin-left: 2em;"><a href="#Jerome-17-limit">17-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:229 --><!-- ws:start:WikiTextTocRule:230: --><div style="margin-left: 1em;"><a href="#Meanmag">Meanmag</a></div> | ||
<!-- ws:end:WikiTextTocRule:230 --><!-- ws:start:WikiTextTocRule:231: --><div style="margin-left: 1em;"><a href="#Undevigintone">Undevigintone</a></div> | |||
<!-- ws:end:WikiTextTocRule:231 --><!-- ws:start:WikiTextTocRule:232: --></div> | |||
<!-- ws:end:WikiTextTocRule:232 --><br /> | |||
The <a class="wiki_link" href="/5-limit">5-limit</a> parent <a class="wiki_link" href="/Comma">comma</a> of the <a class="wiki_link" href="/meantone">meantone</a> family is the Didymus or <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Syntonic_comma" rel="nofollow">syntonic comma</a>, 81/80. This is the one they all temper out. The <a class="wiki_link" href="/Monzos%20and%20Interval%20Space">monzo</a> for 81/80 goes |-4 4 -1&gt;, and that can be flipped around to the corresponding <a class="wiki_link" href="/Wedgies%20and%20Multivals">wedgie</a>, &lt;&lt;1 4 4||, which tells us that the period is an octave, the generator is a fifth, and four fifths go to make up a 5/1 interval.<br /> | The <a class="wiki_link" href="/5-limit">5-limit</a> parent <a class="wiki_link" href="/Comma">comma</a> of the <a class="wiki_link" href="/meantone">meantone</a> family is the Didymus or <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Syntonic_comma" rel="nofollow">syntonic comma</a>, 81/80. This is the one they all temper out. The <a class="wiki_link" href="/Monzos%20and%20Interval%20Space">monzo</a> for 81/80 goes |-4 4 -1&gt;, and that can be flipped around to the corresponding <a class="wiki_link" href="/Wedgies%20and%20Multivals">wedgie</a>, &lt;&lt;1 4 4||, which tells us that the period is an octave, the generator is a fifth, and four fifths go to make up a 5/1 interval.<br /> | ||
<br /> | <br /> | ||
| Line 987: | Line 1,005: | ||
EDOs: 12e, 19, 31f, 50f<br /> | EDOs: 12e, 19, 31f, 50f<br /> | ||
Badness: 0.0277<br /> | Badness: 0.0277<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Septimal meantone-Meanenneadecal"></a><!-- ws:end:WikiTextHeadingRule:18 -->Meanenneadecal</h2> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Septimal meantone-Meanenneadecal"></a><!-- ws:end:WikiTextHeadingRule:18 -->Meanenneadecal</h2> | ||
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EDOs: 7, 12, 43de<br /> | EDOs: 7, 12, 43de<br /> | ||
Badness: 0.0220<br /> | Badness: 0.0220<br /> | ||
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><!-- ws:end:WikiTextHeadingRule:38 --> </h2> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Dominant-Twelve"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Dominant-Domination"></a><!-- ws:end:WikiTextHeadingRule:38 -->Domination</h2> | ||
Commas: 36/35, 64/63, 77/75<br /> | |||
<br /> | |||
POTE generator: ~3/2 = 705.004<br /> | |||
<br /> | |||
Map: [&lt;1 0 -4 6 -14|, &lt;0 1 4 -2 11|]<br /> | |||
EDOs: 17c, 46cd<br /> | |||
Badness: 0.0366<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Dominant-13-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->13-limit</h2> | |||
Commas: 26/25, 36/35, 64/63, 66/65 <br /> | |||
<br /> | |||
POTE generator: ~3/2 = 705.496<br /> | |||
<br /> | |||
Map: [&lt;1 0 -4 6 -14 -9|, &lt;0 1 4 -2 11 8|]<br /> | |||
EDOs: 17c<br /> | |||
Badness: 0.0274<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Dominant-Twelve"></a><!-- ws:end:WikiTextHeadingRule:42 -->Twelve</h2> | |||
Commas: 81/80 64/63 45/44 65/64 256/255 153/152<br /> | Commas: 81/80 64/63 45/44 65/64 256/255 153/152<br /> | ||
<br /> | <br /> | ||
| Line 1,107: | Line 1,142: | ||
Badness:<br /> | Badness:<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Dominant-Arnold"></a><!-- ws:end:WikiTextHeadingRule:44 -->Arnold</h2> | ||
Commas: 22/21, 33/32, 36/35<br /> | Commas: 22/21, 33/32, 36/35<br /> | ||
<br /> | <br /> | ||
| Line 1,116: | Line 1,151: | ||
Badness: 0.0261<br /> | Badness: 0.0261<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Dominant-13-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->13-limit</h2> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 -4 6 5 -1|, &lt;0 1 4 -2 -1 3|]<br /> | Map: [&lt;1 0 -4 6 5 -1|, &lt;0 1 4 -2 -1 3|]<br /> | ||
| Line 1,122: | Line 1,157: | ||
Badness: 0.0233<br /> | Badness: 0.0233<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:48:&lt;h2&gt; --><h2 id="toc24"><a name="Dominant-Dominatrix"></a><!-- ws:end:WikiTextHeadingRule:48 -->Dominatrix</h2> | ||
Commas: 27/26 36/35 45/44 64/63<br /> | Commas: 27/26 36/35 45/44 64/63<br /> | ||
<br /> | <br /> | ||
| Line 1,132: | Line 1,167: | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:50:&lt;h1&gt; --><h1 id="toc25"><a name="Sharptone"></a><!-- ws:end:WikiTextHeadingRule:50 -->Sharptone</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 21/20, 28/27<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 21/20, 28/27<br /> | ||
<br /> | <br /> | ||
| Line 1,144: | Line 1,179: | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0248<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0248<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:52:&lt;h1&gt; --><h1 id="toc26"><a name="Meansept"></a><!-- ws:end:WikiTextHeadingRule:52 -->Meansept</h1> | ||
Commas: 15/14, 81/80<br /> | Commas: 15/14, 81/80<br /> | ||
<br /> | <br /> | ||
| Line 1,154: | Line 1,189: | ||
Badness: 0.0453<br /> | Badness: 0.0453<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:54:&lt;h2&gt; --><h2 id="toc27"><a name="Meansept-11-limit"></a><!-- ws:end:WikiTextHeadingRule:54 -->11-limit</h2> | ||
Commas: 15/14, 22/21, 125/121<br /> | Commas: 15/14, 22/21, 125/121<br /> | ||
<br /> | <br /> | ||
| Line 1,163: | Line 1,198: | ||
Badness: 0.0325<br /> | Badness: 0.0325<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:56:&lt;h1&gt; --><h1 id="toc28"><a name="Injera"></a><!-- ws:end:WikiTextHeadingRule:56 -->Injera</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 50/49, 81/80<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 50/49, 81/80<br /> | ||
<br /> | <br /> | ||
| Line 1,180: | Line 1,215: | ||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3" rel="nofollow">Injera Jam</a> (in <a class="wiki_link" href="/26edo">26edo</a>) by <a class="wiki_link" href="/Zach%20Curley">Zach Curley</a><br /> | <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3" rel="nofollow">Injera Jam</a> (in <a class="wiki_link" href="/26edo">26edo</a>) by <a class="wiki_link" href="/Zach%20Curley">Zach Curley</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:58:&lt;h2&gt; --><h2 id="toc29"><a name="Injera-11-limit"></a><!-- ws:end:WikiTextHeadingRule:58 -->11-limit</h2> | ||
Commas: 45/44, 50/49, 81/80<br /> | Commas: 45/44, 50/49, 81/80<br /> | ||
<br /> | <br /> | ||
| Line 1,189: | Line 1,224: | ||
Badness: 0.0231<br /> | Badness: 0.0231<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:60:&lt;h2&gt; --><h2 id="toc30"><a name="Injera-13-limit"></a><!-- ws:end:WikiTextHeadingRule:60 -->13-limit</h2> | ||
Commas: 45/44, 50/49, 81/80, 78/77<br /> | Commas: 45/44, 50/49, 81/80, 78/77<br /> | ||
<br /> | <br /> | ||
| Line 1,198: | Line 1,233: | ||
Badness: 0.0216<br /> | Badness: 0.0216<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:62:&lt;h2&gt; --><h2 id="toc31"><a name="Injera-Enjera"></a><!-- ws:end:WikiTextHeadingRule:62 -->Enjera</h2> | ||
Commas: 27/26, 40/39, 45/44, 99/98<br /> | Commas: 27/26, 40/39, 45/44, 99/98<br /> | ||
<br /> | <br /> | ||
| Line 1,207: | Line 1,242: | ||
Badness: 0.0265<br /> | Badness: 0.0265<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:64:&lt;h2&gt; --><h2 id="toc32"><a name="Injera-Injerous"></a><!-- ws:end:WikiTextHeadingRule:64 -->Injerous</h2> | ||
Commas: 33/32, 50/49, 55/54<br /> | Commas: 33/32, 50/49, 55/54<br /> | ||
<br /> | <br /> | ||
| Line 1,216: | Line 1,251: | ||
Badness: 0.0386<br /> | Badness: 0.0386<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:66:&lt;h2&gt; --><h2 id="toc33"><a name="Injera-Lahoh"></a><!-- ws:end:WikiTextHeadingRule:66 -->Lahoh</h2> | ||
Commas: 50/49, 56/55, 81/77<br /> | Commas: 50/49, 56/55, 81/77<br /> | ||
<br /> | <br /> | ||
| Line 1,225: | Line 1,260: | ||
Badness: 0.0431<br /> | Badness: 0.0431<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:68:&lt;h1&gt; --><h1 id="toc34"><a name="Godzilla"></a><!-- ws:end:WikiTextHeadingRule:68 -->Godzilla</h1> | ||
Main article: <a class="wiki_link" href="/Semiphore%20and%20Godzilla">Semiphore and Godzilla</a><br /> | Main article: <a class="wiki_link" href="/Semiphore%20and%20Godzilla">Semiphore and Godzilla</a><br /> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 49/48, 81/80<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 49/48, 81/80<br /> | ||
| Line 1,238: | Line 1,273: | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0267<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0267<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:70:&lt;h2&gt; --><h2 id="toc35"><a name="Godzilla-11-limit"></a><!-- ws:end:WikiTextHeadingRule:70 -->11-limit</h2> | ||
Commas: 45/44, 49/48, 81/80<br /> | Commas: 45/44, 49/48, 81/80<br /> | ||
<br /> | <br /> | ||
| Line 1,247: | Line 1,282: | ||
Badness: 0.0290<br /> | Badness: 0.0290<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:72:&lt;h2&gt; --><h2 id="toc36"><a name="Godzilla-13-limit"></a><!-- ws:end:WikiTextHeadingRule:72 -->13-limit</h2> | ||
Commas: 45/44, 49/48, 78/77, 81/80<br /> | Commas: 45/44, 49/48, 78/77, 81/80<br /> | ||
<br /> | <br /> | ||
| Line 1,257: | Line 1,292: | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:74:&lt;h2&gt; --><h2 id="toc37"><a name="Godzilla-Semafour"></a><!-- ws:end:WikiTextHeadingRule:74 -->Semafour</h2> | ||
Commas: 33/32, 49/48, 55/54<br /> | Commas: 33/32, 49/48, 55/54<br /> | ||
<br /> | <br /> | ||
| Line 1,266: | Line 1,301: | ||
Badness: 0.0285<br /> | Badness: 0.0285<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:76:&lt;h2&gt; --><h2 id="toc38"><a name="Godzilla-Varan"></a><!-- ws:end:WikiTextHeadingRule:76 -->Varan</h2> | ||
Commas: 49/48, 77/75, 81/80<br /> | Commas: 49/48, 77/75, 81/80<br /> | ||
<br /> | <br /> | ||
| Line 1,275: | Line 1,310: | ||
Badness: 0.0396<br /> | Badness: 0.0396<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:78:&lt;h2&gt; --><h2 id="toc39"><a name="Godzilla-Baragon"></a><!-- ws:end:WikiTextHeadingRule:78 -->Baragon</h2> | ||
Commas: 49/48, 56/55, 81/80<br /> | Commas: 49/48, 56/55, 81/80<br /> | ||
<br /> | <br /> | ||
| Line 1,284: | Line 1,319: | ||
Badness: 0.0357<br /> | Badness: 0.0357<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:80:&lt;h2&gt; --><h2 id="toc40"><a name="Godzilla-Music"></a><!-- ws:end:WikiTextHeadingRule:80 -->Music</h2> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/GodzillaExample.mp3" rel="nofollow">Godzilla Example</a> by <a class="wiki_link" href="/Cameron%20Bobro">Cameron Bobro</a><br /> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/GodzillaExample.mp3" rel="nofollow">Godzilla Example</a> by <a class="wiki_link" href="/Cameron%20Bobro">Cameron Bobro</a><br /> | ||
<a class="wiki_link_ext" href="http://tinyurl.com/4uyumk9" rel="nofollow">&quot;Change is on the Wind&quot;</a> in Godzilla[9] by <a class="wiki_link" href="/Igliashon%20Jones">Igliashon Jones</a><br /> | <a class="wiki_link_ext" href="http://tinyurl.com/4uyumk9" rel="nofollow">&quot;Change is on the Wind&quot;</a> in Godzilla[9] by <a class="wiki_link" href="/Igliashon%20Jones">Igliashon Jones</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:82:&lt;h1&gt; --><h1 id="toc41"><a name="Mohajira"></a><!-- ws:end:WikiTextHeadingRule:82 -->Mohajira</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 6144/6125<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 6144/6125<br /> | ||
<br /> | <br /> | ||
| Line 1,309: | Line 1,344: | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0557<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0557<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:84:&lt;h2&gt; --><h2 id="toc42"><a name="Mohajira-11-limit"></a><!-- ws:end:WikiTextHeadingRule:84 -->11-limit</h2> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 121/120, 176/175<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 121/120, 176/175<br /> | ||
<br /> | <br /> | ||
| Line 1,324: | Line 1,359: | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0261<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0261<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:86:&lt;h2&gt; --><h2 id="toc43"><a name="Mohajira-13-limit"></a><!-- ws:end:WikiTextHeadingRule:86 -->13-limit</h2> | ||
Commas: 81/80, 121/120, 105/104, 66/65<br /> | Commas: 81/80, 121/120, 105/104, 66/65<br /> | ||
<br /> | <br /> | ||
| Line 1,333: | Line 1,368: | ||
Badness: 0.0234<br /> | Badness: 0.0234<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:88:&lt;h1&gt; --><h1 id="toc44"><a name="Maqamic"></a><!-- ws:end:WikiTextHeadingRule:88 -->Maqamic</h1> | ||
Main article: <a class="wiki_link" href="/Maqamic">Maqamic</a><br /> | Main article: <a class="wiki_link" href="/Maqamic">Maqamic</a><br /> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 36/35, 121/120<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 36/35, 121/120<br /> | ||
| Line 1,345: | Line 1,380: | ||
EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/10edo">10c</a>, <a class="wiki_link" href="/17edo">17c</a>, <a class="wiki_link" href="/24edo">24d</a>, <a class="wiki_link" href="/31edo">31d</a><br /> | EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/10edo">10c</a>, <a class="wiki_link" href="/17edo">17c</a>, <a class="wiki_link" href="/24edo">24d</a>, <a class="wiki_link" href="/31edo">31d</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:90:&lt;h2&gt; --><h2 id="toc45"><a name="Maqamic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:90 -->13-limit</h2> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 36/35, 121/120, 144/143<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 36/35, 121/120, 144/143<br /> | ||
<br /> | <br /> | ||
| Line 1,354: | Line 1,389: | ||
EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/10edo">10c</a>, <a class="wiki_link" href="/17edo">17c</a>, <a class="wiki_link" href="/24edo">24d</a>,<a class="wiki_link" href="/31edo"> 31d</a><br /> | EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/10edo">10c</a>, <a class="wiki_link" href="/17edo">17c</a>, <a class="wiki_link" href="/24edo">24d</a>,<a class="wiki_link" href="/31edo"> 31d</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:92:&lt;h1&gt; --><h1 id="toc46"><a name="Migration"></a><!-- ws:end:WikiTextHeadingRule:92 -->Migration</h1> | ||
Commas: 81/80, 121/120, 126/125<br /> | Commas: 81/80, 121/120, 126/125<br /> | ||
<br /> | <br /> | ||
| Line 1,363: | Line 1,398: | ||
Badness: 0.0255<br /> | Badness: 0.0255<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:94:&lt;h1&gt; --><h1 id="toc47"><a name="Mohamaq"></a><!-- ws:end:WikiTextHeadingRule:94 -->Mohamaq</h1> | ||
Commas: 81/80, 392/375<br /> | Commas: 81/80, 392/375<br /> | ||
<br /> | <br /> | ||
| Line 1,372: | Line 1,407: | ||
Badness: 0.0777<br /> | Badness: 0.0777<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:96:&lt;h2&gt; --><h2 id="toc48"><a name="Mohamaq-11-limit"></a><!-- ws:end:WikiTextHeadingRule:96 -->11-limit</h2> | ||
Commas: 56/55, 77/75, 243/242<br /> | Commas: 56/55, 77/75, 243/242<br /> | ||
<br /> | <br /> | ||
| Line 1,381: | Line 1,416: | ||
Badness: 0.0362<br /> | Badness: 0.0362<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:98:&lt;h1&gt; --><h1 id="toc49"><a name="Orphic"></a><!-- ws:end:WikiTextHeadingRule:98 -->Orphic</h1> | ||
Commas: 81/80, 5898240/5764801<br /> | Commas: 81/80, 5898240/5764801<br /> | ||
<br /> | <br /> | ||
| Line 1,391: | Line 1,426: | ||
Badness: 0.2588<br /> | Badness: 0.2588<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:100:&lt;h2&gt; --><h2 id="toc50"><a name="Orphic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:100 -->11-limit</h2> | ||
Commas: 81/80, 99/98, 73728/73205<br /> | Commas: 81/80, 99/98, 73728/73205<br /> | ||
<br /> | <br /> | ||
| Line 1,400: | Line 1,435: | ||
Badness: 0.1015<br /> | Badness: 0.1015<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:102:&lt;h2&gt; --><h2 id="toc51"><a name="Orphic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:102 -->13-limit</h2> | ||
Commas: 81/80, 99/98, 144/143, 2200/2197<br /> | Commas: 81/80, 99/98, 144/143, 2200/2197<br /> | ||
<br /> | <br /> | ||
| Line 1,409: | Line 1,444: | ||
Badness: 0.0535<br /> | Badness: 0.0535<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:104:&lt;h1&gt; --><h1 id="toc52"><a name="Mothra"></a><!-- ws:end:WikiTextHeadingRule:104 -->Mothra</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 1029/1024<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 1029/1024<br /> | ||
<br /> | <br /> | ||
| Line 1,428: | Line 1,463: | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0371<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0371<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:106:&lt;h2&gt; --><h2 id="toc53"><a name="Mothra-11-limit"></a><!-- ws:end:WikiTextHeadingRule:106 -->11-limit</h2> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 99/98, 385/384<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 99/98, 385/384<br /> | ||
<br /> | <br /> | ||
| Line 1,437: | Line 1,472: | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0256<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0256<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:108:&lt;h2&gt; --><h2 id="toc54"><a name="Mothra-13-limit"></a><!-- ws:end:WikiTextHeadingRule:108 -->13-limit</h2> | ||
Commas: 81/80, 99/98, 105/104, 144/143<br /> | Commas: 81/80, 99/98, 105/104, 144/143<br /> | ||
<br /> | <br /> | ||
| Line 1,446: | Line 1,481: | ||
Badness: 0.0240<br /> | Badness: 0.0240<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:110:&lt;h2&gt; --><h2 id="toc55"><a name="Mothra-Cynder"></a><!-- ws:end:WikiTextHeadingRule:110 -->Cynder</h2> | ||
Commas: 45/44, 81/80, 1029/1024 <br /> | Commas: 45/44, 81/80, 1029/1024 <br /> | ||
<br /> | <br /> | ||
| Line 1,455: | Line 1,490: | ||
Badness: 0.0557<br /> | Badness: 0.0557<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:112:&lt;h3&gt; --><h3 id="toc56"><a name="Mothra-Cynder-13-limit"></a><!-- ws:end:WikiTextHeadingRule:112 -->13-limit</h3> | ||
Commas: 45/44, 78/77, 81/80, 640/637<br /> | Commas: 45/44, 78/77, 81/80, 640/637<br /> | ||
<br /> | <br /> | ||
| Line 1,464: | Line 1,499: | ||
Badness: 0.0341<br /> | Badness: 0.0341<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:114:&lt;h2&gt; --><h2 id="toc57"><a name="Mothra-Mosura"></a><!-- ws:end:WikiTextHeadingRule:114 -->Mosura</h2> | ||
Commas: 81/80, 176/175, 1029/1024<br /> | Commas: 81/80, 176/175, 1029/1024<br /> | ||
<br /> | <br /> | ||
| Line 1,473: | Line 1,508: | ||
Badness: 0.0313<br /> | Badness: 0.0313<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:116:&lt;h3&gt; --><h3 id="toc58"><a name="Mothra-Mosura-13-limit"></a><!-- ws:end:WikiTextHeadingRule:116 -->13-limit</h3> | ||
Commas: 81/80, 144/143, 176/175, 1029/1024<br /> | Commas: 81/80, 144/143, 176/175, 1029/1024<br /> | ||
<br /> | <br /> | ||
| Line 1,482: | Line 1,517: | ||
Badness: 0.0369<br /> | Badness: 0.0369<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:118:&lt;h1&gt; --><h1 id="toc59"><a name="Squares"></a><!-- ws:end:WikiTextHeadingRule:118 -->Squares</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 2401/2400<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 2401/2400<br /> | ||
<br /> | <br /> | ||
| Line 1,504: | Line 1,539: | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/tuning-survey/daily20100603-squares8piano.mp3" rel="nofollow">Square 8</a><br /> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/tuning-survey/daily20100603-squares8piano.mp3" rel="nofollow">Square 8</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:120:&lt;h2&gt; --><h2 id="toc60"><a name="Squares-11-limit"></a><!-- ws:end:WikiTextHeadingRule:120 -->11-limit</h2> | ||
Commas: 81/80, 99/98, 121/120<br /> | Commas: 81/80, 99/98, 121/120<br /> | ||
<br /> | <br /> | ||
| Line 1,513: | Line 1,548: | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0216<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0216<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:122:&lt;h2&gt; --><h2 id="toc61"><a name="Squares-13-limit"></a><!-- ws:end:WikiTextHeadingRule:122 -->13-limit</h2> | ||
Commas: 81/80, 99/98, 121/120, 66/65<br /> | Commas: 81/80, 99/98, 121/120, 66/65<br /> | ||
<br /> | <br /> | ||
| Line 1,522: | Line 1,557: | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0255<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0255<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:124:&lt;h2&gt; --><h2 id="toc62"><a name="Squares-Agora"></a><!-- ws:end:WikiTextHeadingRule:124 -->Agora</h2> | ||
Commas: 81/80, 99/98, 105/104, 121/120<br /> | Commas: 81/80, 99/98, 105/104, 121/120<br /> | ||
<br /> | <br /> | ||
| Line 1,531: | Line 1,566: | ||
Badness: 0.0245<br /> | Badness: 0.0245<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:126:&lt;h1&gt; --><h1 id="toc63"><a name="Cuboctahedra"></a><!-- ws:end:WikiTextHeadingRule:126 -->Cuboctahedra</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:128:&lt;h2&gt; --><h2 id="toc64"><a name="Cuboctahedra-11-limit"></a><!-- ws:end:WikiTextHeadingRule:128 -->11-limit</h2> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 385/384, 1375/1372<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 385/384, 1375/1372<br /> | ||
<br /> | <br /> | ||
| Line 1,541: | Line 1,576: | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0568<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0568<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:130:&lt;h1&gt; --><h1 id="toc65"><a name="Liese"></a><!-- ws:end:WikiTextHeadingRule:130 -->Liese</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 686/675<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 81/80, 686/675<br /> | ||
<br /> | <br /> | ||
| Line 1,559: | Line 1,594: | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0467<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0467<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:132:&lt;h2&gt; --><h2 id="toc66"><a name="Liese-Liesel"></a><!-- ws:end:WikiTextHeadingRule:132 -->Liesel</h2> | ||
Commas: 56/55, 81/80, 540/539<br /> | Commas: 56/55, 81/80, 540/539<br /> | ||
<br /> | <br /> | ||
| Line 1,568: | Line 1,603: | ||
Badness: 0.0407<br /> | Badness: 0.0407<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:134:&lt;h2&gt; --><h2 id="toc67"><a name="Liese-13-limit"></a><!-- ws:end:WikiTextHeadingRule:134 -->13-limit</h2> | ||
Liesel is a very natural 13-limit tuning, given the generator is so near 13/9.<br /> | Liesel is a very natural 13-limit tuning, given the generator is so near 13/9.<br /> | ||
<br /> | <br /> | ||
| Line 1,579: | Line 1,614: | ||
Badness: 0.0273<br /> | Badness: 0.0273<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:136:&lt;h2&gt; --><h2 id="toc68"><a name="Liese-Elisa"></a><!-- ws:end:WikiTextHeadingRule:136 -->Elisa</h2> | ||
Commas: 77/75, 81/80, 99/98<br /> | Commas: 77/75, 81/80, 99/98<br /> | ||
<br /> | <br /> | ||
| Line 1,588: | Line 1,623: | ||
Badness: 0.0416<br /> | Badness: 0.0416<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:138:&lt;h2&gt; --><h2 id="toc69"><a name="Liese-Lisa"></a><!-- ws:end:WikiTextHeadingRule:138 -->Lisa</h2> | ||
Commas: 45/44, 81/80, 343/330<br /> | Commas: 45/44, 81/80, 343/330<br /> | ||
<br /> | <br /> | ||
| Line 1,597: | Line 1,632: | ||
Badness: 0.0548<br /> | Badness: 0.0548<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:140:&lt;h2&gt; --><h2 id="toc70"><a name="Liese-13-limit"></a><!-- ws:end:WikiTextHeadingRule:140 -->13-limit</h2> | ||
Commas: 45/44, 81/80, 91/88, 147/143<br /> | Commas: 45/44, 81/80, 91/88, 147/143<br /> | ||
<br /> | <br /> | ||
| Line 1,606: | Line 1,641: | ||
Badness: 0.0361<br /> | Badness: 0.0361<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:142:&lt;h1&gt; --><h1 id="toc71"><a name="Jerome"></a><!-- ws:end:WikiTextHeadingRule:142 -->Jerome</h1> | ||
Jerome is related to <a class="wiki_link" href="/20ed5">Hieronymus' tuning</a>; the Hieronymus generator is 5^(1/20), or 139.316 cents. While the generator represents both 13/12 and 12/11, the POTE and Hieronymus generators are close to 13/12 in size.<br /> | Jerome is related to <a class="wiki_link" href="/20ed5">Hieronymus' tuning</a>; the Hieronymus generator is 5^(1/20), or 139.316 cents. While the generator represents both 13/12 and 12/11, the POTE and Hieronymus generators are close to 13/12 in size.<br /> | ||
<br /> | <br /> | ||
| Line 1,618: | Line 1,653: | ||
Badness: 0.1087<br /> | Badness: 0.1087<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:144:&lt;h2&gt; --><h2 id="toc72"><a name="Jerome-11-limit"></a><!-- ws:end:WikiTextHeadingRule:144 -->11-limit</h2> | ||
Commas: 81/80, 99/98, 864/847<br /> | Commas: 81/80, 99/98, 864/847<br /> | ||
<br /> | <br /> | ||
| Line 1,627: | Line 1,662: | ||
Badness: 0.0479<br /> | Badness: 0.0479<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:146:&lt;h2&gt; --><h2 id="toc73"><a name="Jerome-13-limit"></a><!-- ws:end:WikiTextHeadingRule:146 -->13-limit</h2> | ||
Commas: 77/78, 81/80, 99/98, 144/143<br /> | Commas: 77/78, 81/80, 99/98, 144/143<br /> | ||
<br /> | <br /> | ||
| Line 1,636: | Line 1,671: | ||
Badness: 0.0293<br /> | Badness: 0.0293<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:148:&lt;h2&gt; --><h2 id="toc74"><a name="Jerome-17-limit"></a><!-- ws:end:WikiTextHeadingRule:148 -->17-limit</h2> | ||
Commas: 78/77, 81/80, 99/98, 144/143, 189/187<br /> | Commas: 78/77, 81/80, 99/98, 144/143, 189/187<br /> | ||
<br /> | <br /> | ||
| Line 1,645: | Line 1,680: | ||
Badness: 0.0209<br /> | Badness: 0.0209<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:150:&lt;h1&gt; --><h1 id="toc75"><a name="Meanmag"></a><!-- ws:end:WikiTextHeadingRule:150 -->Meanmag</h1> | ||
Commas: 81/80, 3125/3072<br /> | Commas: 81/80, 3125/3072<br /> | ||
<br /> | <br /> | ||
| Line 1,655: | Line 1,690: | ||
Badness: 0.0770<br /> | Badness: 0.0770<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:152:&lt;h1&gt; --><h1 id="toc76"><a name="Undevigintone"></a><!-- ws:end:WikiTextHeadingRule:152 -->Undevigintone</h1> | ||
Commas: 49/48, 81/80, 126/125<br /> | Commas: 49/48, 81/80, 126/125<br /> | ||
<br /> | <br /> | ||