Marvel temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 337659208 - Original comment: ** |
Wikispaces>phylingual **Imported revision 353613468 - 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: | : This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-07-17 21:38:37 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>353613468</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">[[toc]] | <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;white-space: pre-wrap ! important" class="old-revision-html">[[toc]] | ||
This page discusses some of the temperaments tempering out |-5 2 2 -1> =[[225_224| 225/224]], the [[marvel comma]] or [[septimal kleisma]]. These include negri, wizard, tritonic, septimin, slender, triton, merman and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp, escapade and mavila. | This page discusses some of the temperaments tempering out |-5 2 2 -1> =[[225_224| 225/224]], the [[marvel comma]] or [[septimal kleisma]]. These include negri, wizard, tritonic, septimin, slender, triton, merman and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp, escapade and mavila. | ||
| Line 15: | Line 14: | ||
[[Comma]]s: 49/48, 225/224 | [[Comma]]s: 49/48, 225/224 | ||
[[POTE tuning|POTE temperament]]: 125.608 | [[POTE tuning|POTE temperament]]: ~15/14 = 125.608 | ||
[[Map]]: [<1 2 2 3|, <0 -4 3 -2|] | [[Map]]: [<1 2 2 3|, <0 -4 3 -2|] | ||
| Line 24: | Line 23: | ||
Commas: 45/44, 49/48, 56/55 | Commas: 45/44, 49/48, 56/55 | ||
[[POTE tuning|POTE generator]]: 126.474 | [[POTE tuning|POTE generator]]: ~15/14 = 126.474 | ||
Map: [<1 2 2 3 4|, <0 -4 3 -2 -5|] | Map: [<1 2 2 3 4|, <0 -4 3 -2 -5|] | ||
| Line 33: | Line 32: | ||
Commas: 45/44, 49/48, 56/55, 78/77 | Commas: 45/44, 49/48, 56/55, 78/77 | ||
[[POTE tuning|POTE generator]]: 126.431 | [[POTE tuning|POTE generator]]: ~14/13 = 126.431 | ||
Map: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|] | Map: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|] | ||
| Line 74: | Line 73: | ||
Badness: 0.0202 | Badness: 0.0202 | ||
=Negroni= | =Negroni= | ||
Commas: 49/48, 55/54, 225/224 | Commas: 49/48, 55/54, 225/224 | ||
| Line 92: | Line 91: | ||
Badness: 0.3864 | Badness: 0.3864 | ||
==7-limit== | ==7-limit== | ||
Commas: 225/224, 118098/117649 | Commas: 225/224, 118098/117649 | ||
| Line 184: | Line 183: | ||
Badness: 0.0592 | Badness: 0.0592 | ||
==11-limit== | ==11-limit== | ||
Commas: 45/44, 56/55, 1029/1000 | Commas: 45/44, 56/55, 1029/1000 | ||
| Line 202: | Line 201: | ||
Badness: 0.3785 | Badness: 0.3785 | ||
==7-limit== | ==7-limit== | ||
Commas: 225/224, 50421/50000 | Commas: 225/224, 50421/50000 | ||
| Line 247: | Line 246: | ||
Badness: 0.4538 | Badness: 0.4538 | ||
==7-limit== | ==7-limit== | ||
Commas: 225/224, 2500000/2470629 | Commas: 225/224, 2500000/2470629 | ||
| Line 257: | Line 256: | ||
Badness: 0.0551 | Badness: 0.0551 | ||
==11-limit== | ==11-limit== | ||
Commas: 225/224, 441/440, 1344/1331 | Commas: 225/224, 441/440, 1344/1331 | ||
| Line 266: | Line 265: | ||
Badness: 0.0364 | Badness: 0.0364 | ||
==13-limit== | ==13-limit== | ||
Commas: 144/143, 225/224, 364/363, 441/440 | Commas: 144/143, 225/224, 364/363, 441/440 | ||
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Badness: 0.6709 | Badness: 0.6709 | ||
==7-limit== | ==7-limit== | ||
Commas: 225/224, 84035/82944 | Commas: 225/224, 84035/82944 | ||
| Line 437: | Line 436: | ||
Badness: 0.0304 | Badness: 0.0304 | ||
==13-limit== | ==13-limit== | ||
Commas: 169/168 225/224 364/363 1716/1715 | Commas: 169/168 225/224 364/363 1716/1715 | ||
| Line 446: | Line 445: | ||
Badness: 0.0223 | Badness: 0.0223 | ||
=Submajor= | =Submajor= | ||
Comma: 69198046875/68719476736 | Comma: 69198046875/68719476736 | ||
| Line 455: | Line 454: | ||
Badness: 0.1302 | Badness: 0.1302 | ||
==7-limit== | ==7-limit== | ||
Commas: | Commas: 225/224, 51200/50421 | ||
POTE generator: ~49/40 = 362.255 | POTE generator: ~49/40 = 362.255 | ||
| Line 465: | Line 464: | ||
Badness: 0.0605 | Badness: 0.0605 | ||
==11-limit== | ==11-limit== | ||
Commas: 225/224, 385/384, 6655/6561 | Commas: 225/224, 385/384, 6655/6561 | ||
| Line 474: | Line 473: | ||
Badness: 0.0506 | Badness: 0.0506 | ||
==13-limit== | ==13-limit== | ||
Commas: 169/168, 225/224, 275/273, 385/384 | Commas: 169/168, 225/224, 275/273, 385/384 | ||
| Line 483: | Line 482: | ||
Badness: 0.0277 | Badness: 0.0277 | ||
==Interpental== | ==Interpental== | ||
Commas: 99/98, 176/175, 51200/50421 | Commas: 99/98, 176/175, 51200/50421 | ||
| Line 492: | Line 491: | ||
Badness: 0.0518 | Badness: 0.0518 | ||
===13-limit=== | ===13-limit=== | ||
Commas: 99/98, 169/168, 176/175, 640/637 | Commas: 99/98, 169/168, 176/175, 640/637 | ||
| Line 501: | Line 500: | ||
Badness: 0.0297 | Badness: 0.0297 | ||
=Alphorn= | =Alphorn= | ||
Commas: 225/224, 5764801/5668704 | Commas: 225/224, 5764801/5668704 | ||
| Line 511: | Line 510: | ||
Badness: 0.1293 | Badness: 0.1293 | ||
==11-limit== | ==11-limit== | ||
Commas: 225/224, 385/384, 12250/11979 | Commas: 225/224, 385/384, 12250/11979 | ||
| Line 518: | Line 517: | ||
Map: [<1 9 0 13 3|, <0 -16 5 -22 1|] | Map: [<1 9 0 13 3|, <0 -16 5 -22 1|] | ||
EDOs: 41, 315cde | EDOs: 41, 315cde | ||
Badness: 0.0735 | Badness: 0.0735</pre></div> | ||
</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>Marvel temperaments</title></head><body><!-- ws:start:WikiTextTocRule:112:&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:112 --><!-- ws:start:WikiTextTocRule:113: --><div style="margin-left: 1em;"><a href="#Negri">Negri</a></div> | <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>Marvel temperaments</title></head><body><!-- ws:start:WikiTextTocRule:112:&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:112 --><!-- ws:start:WikiTextTocRule:113: --><div style="margin-left: 1em;"><a href="#Negri">Negri</a></div> | ||
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<!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --><div style="margin-left: 2em;"><a href="#Alphorn-11-limit">11-limit</a></div> | <!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --><div style="margin-left: 2em;"><a href="#Alphorn-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --></div> | <!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --></div> | ||
<!-- ws:end:WikiTextTocRule:169 --> | <!-- ws:end:WikiTextTocRule:169 -->This page discusses some of the temperaments tempering out |-5 2 2 -1&gt; =<a class="wiki_link" href="/225_224"> 225/224</a>, the <a class="wiki_link" href="/marvel%20comma">marvel comma</a> or <a class="wiki_link" href="/septimal%20kleisma">septimal kleisma</a>. These include negri, wizard, tritonic, septimin, slender, triton, merman and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp, escapade and mavila.<br /> | ||
This page discusses some of the temperaments tempering out |-5 2 2 -1&gt; =<a class="wiki_link" href="/225_224"> 225/224</a>, the <a class="wiki_link" href="/marvel%20comma">marvel comma</a> or <a class="wiki_link" href="/septimal%20kleisma">septimal kleisma</a>. These include negri, wizard, tritonic, septimin, slender, triton, merman and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp, escapade and mavila.<br /> | |||
<br /> | <br /> | ||
Since (5/4)^2 = 225/224 * 14/9, these temperaments tend to have a relatively small complexity for 5/4. They also possess 5/4-9/7 versions of the augmented triad. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before 12edo established itself as the standard tuning, it is arguably more authentic to tune it as two stacked major thirds and a diminished fourth, which is what it is in meantone, than as the modern version of three stacked very sharp major thirds.<br /> | Since (5/4)^2 = 225/224 * 14/9, these temperaments tend to have a relatively small complexity for 5/4. They also possess 5/4-9/7 versions of the augmented triad. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before 12edo established itself as the standard tuning, it is arguably more authentic to tune it as two stacked major thirds and a diminished fourth, which is what it is in meantone, than as the modern version of three stacked very sharp major thirds.<br /> | ||
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<a class="wiki_link" href="/Comma">Comma</a>s: 49/48, 225/224<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 49/48, 225/224<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 125.608<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: ~15/14 = 125.608<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 2 2 3|, &lt;0 -4 3 -2|]<br /> | <a class="wiki_link" href="/Map">Map</a>: [&lt;1 2 2 3|, &lt;0 -4 3 -2|]<br /> | ||
| Line 595: | Line 592: | ||
Commas: 45/44, 49/48, 56/55<br /> | Commas: 45/44, 49/48, 56/55<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 126.474<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 126.474<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 2 2 3 4|, &lt;0 -4 3 -2 -5|]<br /> | Map: [&lt;1 2 2 3 4|, &lt;0 -4 3 -2 -5|]<br /> | ||
| Line 604: | Line 601: | ||
Commas: 45/44, 49/48, 56/55, 78/77<br /> | Commas: 45/44, 49/48, 56/55, 78/77<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 126.431<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~14/13 = 126.431<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 2 2 3 4 4|, &lt;0 -4 3 -2 -5 -3|]<br /> | Map: [&lt;1 2 2 3 4 4|, &lt;0 -4 3 -2 -5 -3|]<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Negroni"></a><!-- ws:end:WikiTextHeadingRule:14 -->Negroni</h1> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Negroni"></a><!-- ws:end:WikiTextHeadingRule:14 -->Negroni</h1> | ||
Commas: 49/48, 55/54, 225/224<br /> | Commas: 49/48, 55/54, 225/224<br /> | ||
<br /> | <br /> | ||
POTE generator: ~15/14 = 124.539<br /> | POTE generator: ~15/14 = 124.539<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Wizard-7-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->7-limit</h2> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Wizard-7-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->7-limit</h2> | ||
Commas: 225/224, 118098/117649<br /> | Commas: 225/224, 118098/117649<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 383.256<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 383.256<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Triton-11-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Triton-11-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->11-limit</h2> | ||
Commas: 45/44, 56/55, 1029/1000<br /> | Commas: 45/44, 56/55, 1029/1000<br /> | ||
<br /> | <br /> | ||
POTE generator: ~7/5 = 569.144<br /> | POTE generator: ~7/5 = 569.144<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Tritonic-7-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->7-limit</h2> | <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Tritonic-7-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->7-limit</h2> | ||
Commas: 225/224, 50421/50000<br /> | Commas: 225/224, 50421/50000<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 580.286<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 580.286<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="Merman-7-limit"></a><!-- ws:end:WikiTextHeadingRule:52 -->7-limit</h2> | <!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="Merman-7-limit"></a><!-- ws:end:WikiTextHeadingRule:52 -->7-limit</h2> | ||
Commas: 225/224, 2500000/2470629<br /> | Commas: 225/224, 2500000/2470629<br /> | ||
<br /> | <br /> | ||
POTE generator: ~7/5 = 585.585<br /> | POTE generator: ~7/5 = 585.585<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:54:&lt;h2&gt; --><h2 id="toc27"><a name="Merman-11-limit"></a><!-- ws:end:WikiTextHeadingRule:54 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:54:&lt;h2&gt; --><h2 id="toc27"><a name="Merman-11-limit"></a><!-- ws:end:WikiTextHeadingRule:54 -->11-limit</h2> | ||
Commas: 225/224, 441/440, 1344/1331<br /> | Commas: 225/224, 441/440, 1344/1331<br /> | ||
<br /> | <br /> | ||
POTE generator: ~7/5 = 585.606<br /> | POTE generator: ~7/5 = 585.606<br /> | ||
| Line 838: | Line 835: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:56:&lt;h2&gt; --><h2 id="toc28"><a name="Merman-13-limit"></a><!-- ws:end:WikiTextHeadingRule:56 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:56:&lt;h2&gt; --><h2 id="toc28"><a name="Merman-13-limit"></a><!-- ws:end:WikiTextHeadingRule:56 -->13-limit</h2> | ||
Commas: 144/143, 225/224, 364/363, 441/440<br /> | Commas: 144/143, 225/224, 364/363, 441/440<br /> | ||
<br /> | <br /> | ||
POTE generator: ~7/5 = 585.657<br /> | POTE generator: ~7/5 = 585.657<br /> | ||
| Line 855: | Line 852: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:60:&lt;h2&gt; --><h2 id="toc30"><a name="Septimin-7-limit"></a><!-- ws:end:WikiTextHeadingRule:60 -->7-limit</h2> | <!-- ws:start:WikiTextHeadingRule:60:&lt;h2&gt; --><h2 id="toc30"><a name="Septimin-7-limit"></a><!-- ws:end:WikiTextHeadingRule:60 -->7-limit</h2> | ||
Commas: 225/224, 84035/82944<br /> | Commas: 225/224, 84035/82944<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 263.632<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 263.632<br /> | ||
| Line 1,009: | Line 1,006: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:94:&lt;h2&gt; --><h2 id="toc47"><a name="Enneaportent-13-limit"></a><!-- ws:end:WikiTextHeadingRule:94 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:94:&lt;h2&gt; --><h2 id="toc47"><a name="Enneaportent-13-limit"></a><!-- ws:end:WikiTextHeadingRule:94 -->13-limit</h2> | ||
Commas: 169/168 225/224 364/363 1716/1715<br /> | Commas: 169/168 225/224 364/363 1716/1715<br /> | ||
<br /> | <br /> | ||
POTE generator: ~5/4 = 383.047<br /> | POTE generator: ~5/4 = 383.047<br /> | ||
| Line 1,018: | Line 1,015: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:96:&lt;h1&gt; --><h1 id="toc48"><a name="Submajor"></a><!-- ws:end:WikiTextHeadingRule:96 -->Submajor</h1> | <!-- ws:start:WikiTextHeadingRule:96:&lt;h1&gt; --><h1 id="toc48"><a name="Submajor"></a><!-- ws:end:WikiTextHeadingRule:96 -->Submajor</h1> | ||
Comma: 69198046875/68719476736<br /> | Comma: 69198046875/68719476736<br /> | ||
<br /> | <br /> | ||
POTE generator: ~10125/8192 = 362.321<br /> | POTE generator: ~10125/8192 = 362.321<br /> | ||
| Line 1,027: | Line 1,024: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:98:&lt;h2&gt; --><h2 id="toc49"><a name="Submajor-7-limit"></a><!-- ws:end:WikiTextHeadingRule:98 -->7-limit</h2> | <!-- ws:start:WikiTextHeadingRule:98:&lt;h2&gt; --><h2 id="toc49"><a name="Submajor-7-limit"></a><!-- ws:end:WikiTextHeadingRule:98 -->7-limit</h2> | ||
Commas: | Commas: 225/224, 51200/50421<br /> | ||
<br /> | <br /> | ||
POTE generator: ~49/40 = 362.255<br /> | POTE generator: ~49/40 = 362.255<br /> | ||
| Line 1,037: | Line 1,034: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:100:&lt;h2&gt; --><h2 id="toc50"><a name="Submajor-11-limit"></a><!-- ws:end:WikiTextHeadingRule:100 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:100:&lt;h2&gt; --><h2 id="toc50"><a name="Submajor-11-limit"></a><!-- ws:end:WikiTextHeadingRule:100 -->11-limit</h2> | ||
Commas: 225/224, 385/384, 6655/6561<br /> | Commas: 225/224, 385/384, 6655/6561<br /> | ||
<br /> | <br /> | ||
POTE generator: ~27/22 = 362.101<br /> | POTE generator: ~27/22 = 362.101<br /> | ||
| Line 1,046: | Line 1,043: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:102:&lt;h2&gt; --><h2 id="toc51"><a name="Submajor-13-limit"></a><!-- ws:end:WikiTextHeadingRule:102 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:102:&lt;h2&gt; --><h2 id="toc51"><a name="Submajor-13-limit"></a><!-- ws:end:WikiTextHeadingRule:102 -->13-limit</h2> | ||
Commas: 169/168, 225/224, 275/273, 385/384<br /> | Commas: 169/168, 225/224, 275/273, 385/384<br /> | ||
<br /> | <br /> | ||
POTE generator: ~16/13 = 362.105<br /> | POTE generator: ~16/13 = 362.105<br /> | ||
| Line 1,055: | Line 1,052: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:104:&lt;h2&gt; --><h2 id="toc52"><a name="Submajor-Interpental"></a><!-- ws:end:WikiTextHeadingRule:104 -->Interpental</h2> | <!-- ws:start:WikiTextHeadingRule:104:&lt;h2&gt; --><h2 id="toc52"><a name="Submajor-Interpental"></a><!-- ws:end:WikiTextHeadingRule:104 -->Interpental</h2> | ||
Commas: 99/98, 176/175, 51200/50421<br /> | Commas: 99/98, 176/175, 51200/50421<br /> | ||
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POTE generator: ~49/40 = 362.418<br /> | POTE generator: ~49/40 = 362.418<br /> | ||
| Line 1,064: | Line 1,061: | ||
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<!-- ws:start:WikiTextHeadingRule:106:&lt;h3&gt; --><h3 id="toc53"><a name="Submajor-Interpental-13-limit"></a><!-- ws:end:WikiTextHeadingRule:106 -->13-limit</h3> | <!-- ws:start:WikiTextHeadingRule:106:&lt;h3&gt; --><h3 id="toc53"><a name="Submajor-Interpental-13-limit"></a><!-- ws:end:WikiTextHeadingRule:106 -->13-limit</h3> | ||
Commas: 99/98, 169/168, 176/175, 640/637<br /> | Commas: 99/98, 169/168, 176/175, 640/637<br /> | ||
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POTE generator: ~16/13 = 362.402<br /> | POTE generator: ~16/13 = 362.402<br /> | ||
| Line 1,073: | Line 1,070: | ||
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<!-- ws:start:WikiTextHeadingRule:108:&lt;h1&gt; --><h1 id="toc54"><a name="Alphorn"></a><!-- ws:end:WikiTextHeadingRule:108 -->Alphorn</h1> | <!-- ws:start:WikiTextHeadingRule:108:&lt;h1&gt; --><h1 id="toc54"><a name="Alphorn"></a><!-- ws:end:WikiTextHeadingRule:108 -->Alphorn</h1> | ||
Commas: 225/224, 5764801/5668704<br /> | Commas: 225/224, 5764801/5668704<br /> | ||
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POTE generator: ~48/35 = 556.221<br /> | POTE generator: ~48/35 = 556.221<br /> | ||
| Line 1,083: | Line 1,080: | ||
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<!-- ws:start:WikiTextHeadingRule:110:&lt;h2&gt; --><h2 id="toc55"><a name="Alphorn-11-limit"></a><!-- ws:end:WikiTextHeadingRule:110 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:110:&lt;h2&gt; --><h2 id="toc55"><a name="Alphorn-11-limit"></a><!-- ws:end:WikiTextHeadingRule:110 -->11-limit</h2> | ||
Commas: 225/224, 385/384, 12250/11979<br /> | Commas: 225/224, 385/384, 12250/11979<br /> | ||
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POTE generator: ~11/8 = 556.144<br /> | POTE generator: ~11/8 = 556.144<br /> | ||