Marvel temperaments: Difference between revisions
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Wikispaces>lobawad **Imported revision 219787948 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 224344794 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-04-30 17:11:44 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>224344794</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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Commas: 45/44, 49/48, 56/55 | Commas: 45/44, 49/48, 56/55 | ||
[[POTE tuning|POTE | [[POTE tuning|POTE generator]]: 126.474 | ||
Map: [<1 2 2 3 4|, <0 -4 3 -2 -5|] | Map: [<1 2 2 3 4|, <0 -4 3 -2 -5|] | ||
EDOs: 9, 10, 19 | EDOs: 9, 10, 19 | ||
Badness: 0.0262 | |||
==Negril== | |||
Commas: 49/48, 100/99, 225/224 | |||
POTE generator: ~15/14 = 124.767 | |||
Map: [<1 2 2 3 2|, <0 -4 3 -2 14|] | |||
EDOs: 9, 10, 19, 29, 48, 77 | |||
Badness: 0.0387 | |||
===13-limit=== | |||
Commas: 49/48, 65/64, 91/90, 875/858 | |||
POTE generator: ~15/14 = 124.716 | |||
Map: [<1 2 2 3 2 4|, <0 -4 3 -2 14 -3|] | |||
EDOs: 9, 10, 19, 29, 48, 77 | |||
Badness: 0.0244 | |||
==13-limit== | ==13-limit== | ||
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EDOs: 65, 72, 281, 497</pre></div> | EDOs: 65, 72, 281, 497</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: | <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:52:&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:52 --><!-- ws:start:WikiTextTocRule:53: --><a href="#Negri">Negri</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#Negric">Negric</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Wizard">Wizard</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --> | <a href="#Tritonic">Tritonic</a><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | <a href="#Septimin">Septimin</a><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | <a href="#Slender">Slender</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --> | <a href="#Triton">Triton</a><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --> | <a href="#Marvo">Marvo</a><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:79 -->This page discusses some of the temperaments tempering out 225/224, the marvel comma or septimal kleisma. These include negri, wizard, tritonic, septimin, slender, triton 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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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 | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 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 /> | ||
EDOs: 9, 10, 19<br /> | EDOs: 9, 10, 19<br /> | ||
Badness: 0.0262<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Negri-Negril"></a><!-- ws:end:WikiTextHeadingRule:4 -->Negril</h2> | |||
Commas: 49/48, 100/99, 225/224<br /> | |||
<br /> | |||
POTE generator: ~15/14 = 124.767<br /> | |||
<br /> | |||
Map: [&lt;1 2 2 3 2|, &lt;0 -4 3 -2 14|] <br /> | |||
EDOs: 9, 10, 19, 29, 48, 77<br /> | |||
Badness: 0.0387<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="Negri-Negril-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h3> | |||
Commas: 49/48, 65/64, 91/90, 875/858<br /> | |||
<br /> | |||
POTE generator: ~15/14 = 124.716<br /> | |||
<br /> | |||
Map: [&lt;1 2 2 3 2 4|, &lt;0 -4 3 -2 14 -3|] <br /> | |||
EDOs: 9, 10, 19, 29, 48, 77<br /> | |||
Badness: 0.0244<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Negri-13-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-limit</h2> | ||
Commas: 45/44, 49/48, 56/55, 78/77<br /> | Commas: 45/44, 49/48, 56/55, 78/77<br /> | ||
<br /> | <br /> | ||
| Line 253: | Line 291: | ||
EDOs: 9, 10, 19<br /> | EDOs: 9, 10, 19<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Negric"></a><!-- ws:end:WikiTextHeadingRule:10 -->Negric</h1> | ||
Commas: 33/32, 49/48, 77/75<br /> | Commas: 33/32, 49/48, 77/75<br /> | ||
<br /> | <br /> | ||
| Line 262: | Line 300: | ||
Badness: 0.0306<br /> | Badness: 0.0306<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Negric-13-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-limit</h2> | ||
Commas: 33/32, 49/48, 65/64, 91/90<br /> | Commas: 33/32, 49/48, 65/64, 91/90<br /> | ||
<br /> | <br /> | ||
| Line 271: | Line 309: | ||
Badness: 0.0202<br /> | Badness: 0.0202<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Wizard"></a><!-- ws:end:WikiTextHeadingRule:14 -->Wizard</h1> | ||
Commas: 225/224, 118098/117649<br /> | Commas: 225/224, 118098/117649<br /> | ||
<br /> | <br /> | ||
| Line 281: | Line 319: | ||
Badness: 0.0408<br /> | Badness: 0.0408<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Wizard-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2> | ||
Commas: 225/224, 385/384, 4000/3993<br /> | Commas: 225/224, 385/384, 4000/3993<br /> | ||
<br /> | <br /> | ||
| Line 290: | Line 328: | ||
Badness: 0.0185<br /> | Badness: 0.0185<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Wizard-Lizard"></a><!-- ws:end:WikiTextHeadingRule:18 -->Lizard</h2> | ||
Commas: 225/224, 351/350, 364/363, 385/384<br /> | Commas: 225/224, 351/350, 364/363, 385/384<br /> | ||
<br /> | <br /> | ||
| Line 299: | Line 337: | ||
Badness: 0.0218<br /> | Badness: 0.0218<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="Wizard-Lizard-17-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->17-limit</h3> | ||
Commas: 221/220, 273/272, 289/288, 351/350, 375/374<br /> | Commas: 221/220, 273/272, 289/288, 351/350, 375/374<br /> | ||
<br /> | <br /> | ||
| Line 308: | Line 346: | ||
Badness: 0.0145<br /> | Badness: 0.0145<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h3&gt; --><h3 id="toc11"><a name="Wizard-Lizard-19-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->19-limit</h3> | ||
Commas: 153/152, 210/209, 221/220, 225/224, 273/272, 343/342<br /> | Commas: 153/152, 210/209, 221/220, 225/224, 273/272, 343/342<br /> | ||
<br /> | <br /> | ||
| Line 317: | Line 355: | ||
Badness: 0.0157<br /> | Badness: 0.0157<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Wizard-Gizzard"></a><!-- ws:end:WikiTextHeadingRule:24 -->Gizzard</h2> | ||
Commas: 225/224, 385/384, 325/324, 1573/1568<br /> | Commas: 225/224, 385/384, 325/324, 1573/1568<br /> | ||
<br /> | <br /> | ||
| Line 326: | Line 364: | ||
Badness: 0.0203<br /> | Badness: 0.0203<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h3&gt; --><h3 id="toc13"><a name="Wizard-Gizzard-17-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->17-limit</h3> | ||
Commas: 225/224, 289/288, 325/324, 375/374, 385/384<br /> | Commas: 225/224, 289/288, 325/324, 375/374, 385/384<br /> | ||
<br /> | <br /> | ||
| Line 335: | Line 373: | ||
Badness: 0.0136<br /> | Badness: 0.0136<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:28:&lt;h3&gt; --><h3 id="toc14"><a name="Wizard-Gizzard-19-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->19-limit</h3> | ||
Commas: 225/224, 289/28, 325/324, 385/384, 494/493, 969/968<br /> | Commas: 225/224, 289/28, 325/324, 385/384, 494/493, 969/968<br /> | ||
<br /> | <br /> | ||
| Line 344: | Line 382: | ||
Badness: 0.0148<br /> | Badness: 0.0148<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Tritonic"></a><!-- ws:end:WikiTextHeadingRule:30 -->Tritonic</h1> | ||
Commas: 225/224, 50421/50000<br /> | Commas: 225/224, 50421/50000<br /> | ||
<br /> | <br /> | ||
| Line 353: | Line 391: | ||
EDOs: 29, 31, 60, 91, 122, 213<br /> | EDOs: 29, 31, 60, 91, 122, 213<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Tritonic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->11-limit</h2> | ||
Commas: 225/224, 385/384, 27783/27500<br /> | Commas: 225/224, 385/384, 27783/27500<br /> | ||
<br /> | <br /> | ||
| Line 361: | Line 399: | ||
EDOs: 29, 31, 60, 91, 122, 153<br /> | EDOs: 29, 31, 60, 91, 122, 153<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Septimin"></a><!-- ws:end:WikiTextHeadingRule:34 -->Septimin</h1> | ||
Commas: 225/224, 84035/82944<br /> | Commas: 225/224, 84035/82944<br /> | ||
<br /> | <br /> | ||
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EDOs: 9, 32, 41, 91, 132<br /> | EDOs: 9, 32, 41, 91, 132<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Septimin-11-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->11-limit</h2> | ||
Commas: 225/224, 385/384, 2401/2376<br /> | Commas: 225/224, 385/384, 2401/2376<br /> | ||
<br /> | <br /> | ||
| Line 378: | Line 416: | ||
EDOs: 9, 32, 41, 91<br /> | EDOs: 9, 32, 41, 91<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Septimin-13-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->13-limit</h2> | ||
Commas: 105/104, 144/143, 196/195, 245/242<br /> | Commas: 105/104, 144/143, 196/195, 245/242<br /> | ||
<br /> | <br /> | ||
| Line 386: | Line 424: | ||
EDOs: 9, 41, 91<br /> | EDOs: 9, 41, 91<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Slender"></a><!-- ws:end:WikiTextHeadingRule:40 -->Slender</h1> | ||
Commas: 225/225, 589824/588245<br /> | Commas: 225/225, 589824/588245<br /> | ||
<br /> | <br /> | ||
| Line 396: | Line 434: | ||
Badness: 0.0569<br /> | Badness: 0.0569<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Slender-11-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->11-limit</h2> | ||
Commas: 225/224, 385/384, 1331/1323<br /> | Commas: 225/224, 385/384, 1331/1323<br /> | ||
<br /> | <br /> | ||
| Line 405: | Line 443: | ||
Badness: 25.342<br /> | Badness: 25.342<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Slender-13-limit"></a><!-- ws:end:WikiTextHeadingRule:44 -->13-limit</h2> | ||
Commas: 225/224, 275/273, 385/384, 1331/1323<br /> | Commas: 225/224, 275/273, 385/384, 1331/1323<br /> | ||
<br /> | <br /> | ||
| Line 414: | Line 452: | ||
Badness: 25.913<br /> | Badness: 25.913<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:46:&lt;h1&gt; --><h1 id="toc23"><a name="Triton"></a><!-- ws:end:WikiTextHeadingRule:46 -->Triton</h1> | ||
Commas: 225/224, 1029/1000<br /> | Commas: 225/224, 1029/1000<br /> | ||
<br /> | <br /> | ||
| Line 423: | Line 461: | ||
EDOs: 19, 135, 289<br /> | EDOs: 19, 135, 289<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc24"><a name="Marvo"></a><!-- ws:end:WikiTextHeadingRule:48 -->Marvo</h1> | ||
Commas: 225/224, 78125000/78121827<br /> | Commas: 225/224, 78125000/78121827<br /> | ||
<br /> | <br /> | ||
| Line 432: | Line 470: | ||
EDOs: 65, 72<br /> | EDOs: 65, 72<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Marvo-11-limit"></a><!-- ws:end:WikiTextHeadingRule:50 -->11-limit</h2> | ||
Commas: 225/224, 243/242, 4000/3993<br /> | Commas: 225/224, 243/242, 4000/3993<br /> | ||
<br /> | <br /> | ||
Revision as of 17:11, 30 April 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-04-30 17:11:44 UTC.
- The original revision id was 224344794.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
[[toc|flat]] This page discusses some of the temperaments tempering out 225/224, the marvel comma or septimal kleisma. These include negri, wizard, tritonic, septimin, slender, triton and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp, escapade and mavila. 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. =Negri= Commas: 49/48, 225/224 [[POTE tuning|POTE temperament]]: 125.608 Map: [<1 2 2 3|, <0 -4 3 -2|] Wedgie: <<4 -3 2 -14 -8 13|| EDOs: 9, 10, 19, 86 ==11-limit== Commas: 45/44, 49/48, 56/55 [[POTE tuning|POTE generator]]: 126.474 Map: [<1 2 2 3 4|, <0 -4 3 -2 -5|] EDOs: 9, 10, 19 Badness: 0.0262 ==Negril== Commas: 49/48, 100/99, 225/224 POTE generator: ~15/14 = 124.767 Map: [<1 2 2 3 2|, <0 -4 3 -2 14|] EDOs: 9, 10, 19, 29, 48, 77 Badness: 0.0387 ===13-limit=== Commas: 49/48, 65/64, 91/90, 875/858 POTE generator: ~15/14 = 124.716 Map: [<1 2 2 3 2 4|, <0 -4 3 -2 14 -3|] EDOs: 9, 10, 19, 29, 48, 77 Badness: 0.0244 ==13-limit== Commas: 45/44, 49/48, 56/55, 78/77 [[POTE tuning|POTE generator]]: 126.431 Map: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|] EDOs: 9, 10, 19 =Negric= Commas: 33/32, 49/48, 77/75 POTE generator: ~15/14 = 127.039 Map: [<1 2 2 3 3|, <0 -4 3 -2 4|] EDOs: 9, 19, 85 Badness: 0.0306 ==13-limit== Commas: 33/32, 49/48, 65/64, 91/90 POTE generator: ~15/14 = 127.039 Map: [<1 2 2 3 3 4|, <0 -4 3 -2 4 -3|] EDOs: 9, 19, 85 Badness: 0.0202 =Wizard= Commas: 225/224, 118098/117649 [[POTE tuning|POTE temperament]]: 383.256 Map: [<2 1 5 2|, <0 6 -1 10|] Wedgie: <<12 -2 20 -31 -2 52|| EDOs: 22, 50, 72, 382, 454 Badness: 0.0408 ==11-limit== Commas: 225/224, 385/384, 4000/3993 [[POTE tuning|POTE temperament]]: 383.232 Map: [<2 1 5 2 8|, <0 6 -1 10 -3|] EDOs: 22, 50, 72, 166, 310 Badness: 0.0185 ==Lizard== Commas: 225/224, 351/350, 364/363, 385/384 [[POTE tuning|POTE temperament]]: 383.389 Map: [<2 1 5 2 8 11|, <0 6 -1 10 -3 -10|] EDOs: 22, 50, 72 Badness: 0.0218 ===17-limit=== Commas: 221/220, 273/272, 289/288, 351/350, 375/374 [[POTE tuning|POTE temperament]]: 383.381 Map: [<2 1 5 2 8 11 6|, <0 6 -1 10 -3 -10 6|] EDOs: 22, 50, 72 Badness: 0.0145 ===19-limit=== Commas: 153/152, 210/209, 221/220, 225/224, 273/272, 343/342 [[POTE tuning|POTE generator]]: ~5/4 = 383.477 Map: [<2 1 5 2 8 11 6 2|, <0 6 -1 10 -3 -10 6 18|] EDOs: 22, 50, 72, 194, 460 Badness: 0.0157 ==Gizzard== Commas: 225/224, 385/384, 325/324, 1573/1568 POTE generator: ~5/4 = 383.170 Map: [<2 1 5 2 8 -2|, <0 6 -1 10 -3 26|] EDOs: 22, 28, 50, 72, 94, 166 Badness: 0.0203 ===17-limit=== Commas: 225/224, 289/288, 325/324, 375/374, 385/384 POTE generator: ~5/4 = 383.175 Map: [<2 1 5 2 8 -2 6|, <0 6 -1 10 -3 26 6|] EDOs: 22, 72, 94, 166, 238 Badness: 0.0136 ===19-limit=== Commas: 225/224, 289/28, 325/324, 385/384, 494/493, 969/968 POTE generator: ~5/4 = 383.138 Map: [<2 1 5 2 8 -2 6 15|, <0 6 -1 10 -3 26 6 -18|] EDOs: 22, 72, 94, 166 Badness: 0.0148 =Tritonic= Commas: 225/224, 50421/50000 [[POTE tuning|POTE temperament]]: 580.286 Map: [<1 4 -3 -3|, <0 -5 11 12|] Wedgie: <<5 -11 -12 -29 -33 3|| EDOs: 29, 31, 60, 91, 122, 213 ==11-limit== Commas: 225/224, 385/384, 27783/27500 [[POTE tuning|POTE temperament]]: 580.389 Map: [<1 4 -3 -3 17|, <0 -5 11 12 -28|] EDOs: 29, 31, 60, 91, 122, 153 =Septimin= Commas: 225/224, 84035/82944 [[POTE tuning|POTE temperament]]: 263.632 Map: [<1 4 1 5|, <0 -11 6 -10|] Wedgie: <<11 -6 10 -35 -15 40|| EDOs: 9, 32, 41, 91, 132 ==11-limit== Commas: 225/224, 385/384, 2401/2376 [[POTE tuning|POTE temperament]]: 263.634 Map: [<1 4 1 5 5|, <0 -11 6 -10 -7|] EDOs: 9, 32, 41, 91 ==13-limit== Commas: 105/104, 144/143, 196/195, 245/242 [[POTE tuning|POTE temperament]]: 263.700 Map: [<1 4 1 5 5 7|, <0 -11 6 -10 -7 -15|] EDOs: 9, 41, 91 =Slender= Commas: 225/225, 589824/588245 [[POTE tuning|POTE temperament]]: ~49/48 = 38.413 Map: [<1 2 2 3|, <0 -13 10 -6|] Wedgie: <<13 -10 6 -46 -27 42|| EDOs: 31, 94, 125 Badness: 0.0569 ==11-limit== Commas: 225/224, 385/384, 1331/1323 [[POTE tuning|POTE temperament]]: ~49/48 = 38.387 Map: [<1 2 2 3 4|, <0 -13 10 -6 -17|] EDOs: 31, 63, 94, 125 Badness: 25.342 ==13-limit== Commas: 225/224, 275/273, 385/384, 1331/1323 POTE generator: ~49/48 = 38.314 Map: [<1 2 2 3 4 3|, <0 -13 10 -6 -17 22|] EDOs: 31, 63, 94 Badness: 25.913 =Triton= Commas: 225/224, 1029/1000 [[POTE tuning|POTE temperament]]: 568.865 Map: [<1 0 6 7|, <0 3 -7 -8|] Wedgie: <<3 -7 -8 -18 -21 1|| EDOs: 19, 135, 289 =Marvo= Commas: 225/224, 78125000/78121827 [[POTE tuning|POTE temperament]]: (~27/20) 516.694 Map: [<1 5 12 29|, <0 -6 -17 -46|] Wedgie: <<6, 17, 46, 13, 56 59|| EDOs: 65, 72 ==11-limit== Commas: 225/224, 243/242, 4000/3993 [[POTE tuning|POTE temperament]]: 516.699 Map: [<1 5 12 29 12|, <0 -6 -17 -46 -15|] EDOs: 65, 72, 281, 497
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<html><head><title>Marvel temperaments</title></head><body><!-- ws:start:WikiTextTocRule:52:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><a href="#Negri">Negri</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#Negric">Negric</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Wizard">Wizard</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --> | <a href="#Tritonic">Tritonic</a><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | <a href="#Septimin">Septimin</a><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | <a href="#Slender">Slender</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --> | <a href="#Triton">Triton</a><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --> | <a href="#Marvo">Marvo</a><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --> <!-- ws:end:WikiTextTocRule:79 -->This page discusses some of the temperaments tempering out 225/224, the marvel comma or septimal kleisma. These include negri, wizard, tritonic, septimin, slender, triton and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp, escapade and mavila.<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 /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Negri"></a><!-- ws:end:WikiTextHeadingRule:0 -->Negri</h1> Commas: 49/48, 225/224<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 125.608<br /> <br /> Map: [<1 2 2 3|, <0 -4 3 -2|]<br /> Wedgie: <<4 -3 2 -14 -8 13||<br /> EDOs: 9, 10, 19, 86<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Negri-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> Commas: 45/44, 49/48, 56/55<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 126.474<br /> <br /> Map: [<1 2 2 3 4|, <0 -4 3 -2 -5|]<br /> EDOs: 9, 10, 19<br /> Badness: 0.0262<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Negri-Negril"></a><!-- ws:end:WikiTextHeadingRule:4 -->Negril</h2> Commas: 49/48, 100/99, 225/224<br /> <br /> POTE generator: ~15/14 = 124.767<br /> <br /> Map: [<1 2 2 3 2|, <0 -4 3 -2 14|] <br /> EDOs: 9, 10, 19, 29, 48, 77<br /> Badness: 0.0387<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h3> --><h3 id="toc3"><a name="Negri-Negril-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h3> Commas: 49/48, 65/64, 91/90, 875/858<br /> <br /> POTE generator: ~15/14 = 124.716<br /> <br /> Map: [<1 2 2 3 2 4|, <0 -4 3 -2 14 -3|] <br /> EDOs: 9, 10, 19, 29, 48, 77<br /> Badness: 0.0244<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Negri-13-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-limit</h2> Commas: 45/44, 49/48, 56/55, 78/77<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 126.431<br /> <br /> Map: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|]<br /> EDOs: 9, 10, 19<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="Negric"></a><!-- ws:end:WikiTextHeadingRule:10 -->Negric</h1> Commas: 33/32, 49/48, 77/75<br /> <br /> POTE generator: ~15/14 = 127.039<br /> <br /> Map: [<1 2 2 3 3|, <0 -4 3 -2 4|]<br /> EDOs: 9, 19, 85<br /> Badness: 0.0306<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="Negric-13-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-limit</h2> Commas: 33/32, 49/48, 65/64, 91/90<br /> <br /> POTE generator: ~15/14 = 127.039<br /> <br /> Map: [<1 2 2 3 3 4|, <0 -4 3 -2 4 -3|]<br /> EDOs: 9, 19, 85<br /> Badness: 0.0202<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h1> --><h1 id="toc7"><a name="Wizard"></a><!-- ws:end:WikiTextHeadingRule:14 -->Wizard</h1> Commas: 225/224, 118098/117649<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 383.256<br /> <br /> Map: [<2 1 5 2|, <0 6 -1 10|]<br /> Wedgie: <<12 -2 20 -31 -2 52||<br /> EDOs: 22, 50, 72, 382, 454<br /> Badness: 0.0408<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="Wizard-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2> Commas: 225/224, 385/384, 4000/3993<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 383.232<br /> <br /> Map: [<2 1 5 2 8|, <0 6 -1 10 -3|]<br /> EDOs: 22, 50, 72, 166, 310<br /> Badness: 0.0185<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h2> --><h2 id="toc9"><a name="Wizard-Lizard"></a><!-- ws:end:WikiTextHeadingRule:18 -->Lizard</h2> Commas: 225/224, 351/350, 364/363, 385/384<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 383.389<br /> <br /> Map: [<2 1 5 2 8 11|, <0 6 -1 10 -3 -10|]<br /> EDOs: 22, 50, 72<br /> Badness: 0.0218<br /> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h3> --><h3 id="toc10"><a name="Wizard-Lizard-17-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->17-limit</h3> Commas: 221/220, 273/272, 289/288, 351/350, 375/374<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 383.381<br /> <br /> Map: [<2 1 5 2 8 11 6|, <0 6 -1 10 -3 -10 6|]<br /> EDOs: 22, 50, 72<br /> Badness: 0.0145<br /> <br /> <!-- ws:start:WikiTextHeadingRule:22:<h3> --><h3 id="toc11"><a name="Wizard-Lizard-19-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->19-limit</h3> Commas: 153/152, 210/209, 221/220, 225/224, 273/272, 343/342<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~5/4 = 383.477<br /> <br /> Map: [<2 1 5 2 8 11 6 2|, <0 6 -1 10 -3 -10 6 18|]<br /> EDOs: 22, 50, 72, 194, 460<br /> Badness: 0.0157<br /> <br /> <!-- ws:start:WikiTextHeadingRule:24:<h2> --><h2 id="toc12"><a name="Wizard-Gizzard"></a><!-- ws:end:WikiTextHeadingRule:24 -->Gizzard</h2> Commas: 225/224, 385/384, 325/324, 1573/1568<br /> <br /> POTE generator: ~5/4 = 383.170<br /> <br /> Map: [<2 1 5 2 8 -2|, <0 6 -1 10 -3 26|]<br /> EDOs: 22, 28, 50, 72, 94, 166<br /> Badness: 0.0203<br /> <br /> <!-- ws:start:WikiTextHeadingRule:26:<h3> --><h3 id="toc13"><a name="Wizard-Gizzard-17-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->17-limit</h3> Commas: 225/224, 289/288, 325/324, 375/374, 385/384<br /> <br /> POTE generator: ~5/4 = 383.175<br /> <br /> Map: [<2 1 5 2 8 -2 6|, <0 6 -1 10 -3 26 6|]<br /> EDOs: 22, 72, 94, 166, 238<br /> Badness: 0.0136<br /> <br /> <!-- ws:start:WikiTextHeadingRule:28:<h3> --><h3 id="toc14"><a name="Wizard-Gizzard-19-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->19-limit</h3> Commas: 225/224, 289/28, 325/324, 385/384, 494/493, 969/968<br /> <br /> POTE generator: ~5/4 = 383.138<br /> <br /> Map: [<2 1 5 2 8 -2 6 15|, <0 6 -1 10 -3 26 6 -18|]<br /> EDOs: 22, 72, 94, 166<br /> Badness: 0.0148<br /> <br /> <!-- ws:start:WikiTextHeadingRule:30:<h1> --><h1 id="toc15"><a name="Tritonic"></a><!-- ws:end:WikiTextHeadingRule:30 -->Tritonic</h1> Commas: 225/224, 50421/50000<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 580.286<br /> <br /> Map: [<1 4 -3 -3|, <0 -5 11 12|]<br /> Wedgie: <<5 -11 -12 -29 -33 3||<br /> EDOs: 29, 31, 60, 91, 122, 213<br /> <br /> <!-- ws:start:WikiTextHeadingRule:32:<h2> --><h2 id="toc16"><a name="Tritonic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->11-limit</h2> Commas: 225/224, 385/384, 27783/27500<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 580.389<br /> <br /> Map: [<1 4 -3 -3 17|, <0 -5 11 12 -28|]<br /> EDOs: 29, 31, 60, 91, 122, 153<br /> <br /> <!-- ws:start:WikiTextHeadingRule:34:<h1> --><h1 id="toc17"><a name="Septimin"></a><!-- ws:end:WikiTextHeadingRule:34 -->Septimin</h1> Commas: 225/224, 84035/82944<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 263.632<br /> <br /> Map: [<1 4 1 5|, <0 -11 6 -10|]<br /> Wedgie: <<11 -6 10 -35 -15 40||<br /> EDOs: 9, 32, 41, 91, 132<br /> <br /> <!-- ws:start:WikiTextHeadingRule:36:<h2> --><h2 id="toc18"><a name="Septimin-11-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->11-limit</h2> Commas: 225/224, 385/384, 2401/2376<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 263.634<br /> <br /> Map: [<1 4 1 5 5|, <0 -11 6 -10 -7|]<br /> EDOs: 9, 32, 41, 91<br /> <br /> <!-- ws:start:WikiTextHeadingRule:38:<h2> --><h2 id="toc19"><a name="Septimin-13-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->13-limit</h2> Commas: 105/104, 144/143, 196/195, 245/242<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 263.700<br /> <br /> Map: [<1 4 1 5 5 7|, <0 -11 6 -10 -7 -15|]<br /> EDOs: 9, 41, 91<br /> <br /> <!-- ws:start:WikiTextHeadingRule:40:<h1> --><h1 id="toc20"><a name="Slender"></a><!-- ws:end:WikiTextHeadingRule:40 -->Slender</h1> Commas: 225/225, 589824/588245<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: ~49/48 = 38.413<br /> <br /> Map: [<1 2 2 3|, <0 -13 10 -6|]<br /> Wedgie: <<13 -10 6 -46 -27 42||<br /> EDOs: 31, 94, 125<br /> Badness: 0.0569<br /> <br /> <!-- ws:start:WikiTextHeadingRule:42:<h2> --><h2 id="toc21"><a name="Slender-11-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->11-limit</h2> Commas: 225/224, 385/384, 1331/1323<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: ~49/48 = 38.387<br /> <br /> Map: [<1 2 2 3 4|, <0 -13 10 -6 -17|]<br /> EDOs: 31, 63, 94, 125<br /> Badness: 25.342<br /> <br /> <!-- ws:start:WikiTextHeadingRule:44:<h2> --><h2 id="toc22"><a name="Slender-13-limit"></a><!-- ws:end:WikiTextHeadingRule:44 -->13-limit</h2> Commas: 225/224, 275/273, 385/384, 1331/1323<br /> <br /> POTE generator: ~49/48 = 38.314<br /> <br /> Map: [<1 2 2 3 4 3|, <0 -13 10 -6 -17 22|]<br /> EDOs: 31, 63, 94<br /> Badness: 25.913<br /> <br /> <!-- ws:start:WikiTextHeadingRule:46:<h1> --><h1 id="toc23"><a name="Triton"></a><!-- ws:end:WikiTextHeadingRule:46 -->Triton</h1> Commas: 225/224, 1029/1000<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 568.865<br /> <br /> Map: [<1 0 6 7|, <0 3 -7 -8|]<br /> Wedgie: <<3 -7 -8 -18 -21 1||<br /> EDOs: 19, 135, 289<br /> <br /> <!-- ws:start:WikiTextHeadingRule:48:<h1> --><h1 id="toc24"><a name="Marvo"></a><!-- ws:end:WikiTextHeadingRule:48 -->Marvo</h1> Commas: 225/224, 78125000/78121827<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: (~27/20) 516.694<br /> <br /> Map: [<1 5 12 29|, <0 -6 -17 -46|]<br /> Wedgie: <<6, 17, 46, 13, 56 59||<br /> EDOs: 65, 72<br /> <br /> <!-- ws:start:WikiTextHeadingRule:50:<h2> --><h2 id="toc25"><a name="Marvo-11-limit"></a><!-- ws:end:WikiTextHeadingRule:50 -->11-limit</h2> Commas: 225/224, 243/242, 4000/3993<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 516.699<br /> <br /> Map: [<1 5 12 29 12|, <0 -6 -17 -46 -15|]<br /> EDOs: 65, 72, 281, 497</body></html>