Marvel temperaments: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 153914959 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 190064932 - 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>2010- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-27 15:55:18 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>190064932</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">This page discusses some of the temperaments tempering out 225/224, the marvel comma or septimal kleisma. Since (5/4)^3 = 225/224 * 14/9, these temperaments tend to have a relatively small complexity for 5/4. They also possess 5/4-5/4-9/7 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.</pre></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;white-space: pre-wrap ! important" class="old-revision-html">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, escapade and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp and mavila. | ||
Since (5/4)^3 = 225/224 * 14/9, these temperaments tend to have a relatively small complexity for 5/4. They also possess 5/4-5/4-9/7 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 | |||
==Wizard== | |||
Commas: 225/224, 118098/117649 | |||
==Tritonic== | |||
Commas: 225/224, 50421/50000 | |||
==Septimin== | |||
Commas: 225/224, 84035/82944 | |||
==Slender== | |||
Commas: 225/225, 589824/588245 | |||
==Triton== | |||
Commas: 225/224, 1029/1000 | |||
==Escapade== | |||
Commas: 225/224, 12288/12005 | |||
==Marvo== | |||
Commas: 225/224, 78125000/78121827 | |||
</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>This page discusses some of the temperaments tempering out 225/224, the marvel comma or septimal kleisma. Since (5/4)^3 = 225/224 * 14/9, these temperaments tend to have a relatively small complexity for 5/4. They also possess 5/4-5/4-9/7 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.</body></html></pre></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>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, escapade and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp and mavila.<br /> | ||
<br /> | |||
Since (5/4)^3 = 225/224 * 14/9, these temperaments tend to have a relatively small complexity for 5/4. They also possess 5/4-5/4-9/7 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:&lt;h2&gt; --><h2 id="toc0"><a name="x-Negri"></a><!-- ws:end:WikiTextHeadingRule:0 -->Negri</h2> | |||
Commas: 49/48, 225/224<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Wizard"></a><!-- ws:end:WikiTextHeadingRule:2 -->Wizard</h2> | |||
Commas: 225/224, 118098/117649<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-Tritonic"></a><!-- ws:end:WikiTextHeadingRule:4 -->Tritonic</h2> | |||
Commas: 225/224, 50421/50000<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-Septimin"></a><!-- ws:end:WikiTextHeadingRule:6 -->Septimin</h2> | |||
Commas: 225/224, 84035/82944<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x-Slender"></a><!-- ws:end:WikiTextHeadingRule:8 -->Slender</h2> | |||
Commas: 225/225, 589824/588245<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-Triton"></a><!-- ws:end:WikiTextHeadingRule:10 -->Triton</h2> | |||
Commas: 225/224, 1029/1000<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x-Escapade"></a><!-- ws:end:WikiTextHeadingRule:12 -->Escapade</h2> | |||
Commas: 225/224, 12288/12005<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="x-Marvo"></a><!-- ws:end:WikiTextHeadingRule:14 -->Marvo</h2> | |||
Commas: 225/224, 78125000/78121827</body></html></pre></div> | |||
Revision as of 15:55, 27 December 2010
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 2010-12-27 15:55:18 UTC.
- The original revision id was 190064932.
- 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:
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, escapade and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp and mavila. Since (5/4)^3 = 225/224 * 14/9, these temperaments tend to have a relatively small complexity for 5/4. They also possess 5/4-5/4-9/7 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 ==Wizard== Commas: 225/224, 118098/117649 ==Tritonic== Commas: 225/224, 50421/50000 ==Septimin== Commas: 225/224, 84035/82944 ==Slender== Commas: 225/225, 589824/588245 ==Triton== Commas: 225/224, 1029/1000 ==Escapade== Commas: 225/224, 12288/12005 ==Marvo== Commas: 225/224, 78125000/78121827
Original HTML content:
<html><head><title>Marvel temperaments</title></head><body>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, escapade and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp and mavila.<br /> <br /> Since (5/4)^3 = 225/224 * 14/9, these temperaments tend to have a relatively small complexity for 5/4. They also possess 5/4-5/4-9/7 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:<h2> --><h2 id="toc0"><a name="x-Negri"></a><!-- ws:end:WikiTextHeadingRule:0 -->Negri</h2> Commas: 49/48, 225/224<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x-Wizard"></a><!-- ws:end:WikiTextHeadingRule:2 -->Wizard</h2> Commas: 225/224, 118098/117649<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="x-Tritonic"></a><!-- ws:end:WikiTextHeadingRule:4 -->Tritonic</h2> Commas: 225/224, 50421/50000<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="x-Septimin"></a><!-- ws:end:WikiTextHeadingRule:6 -->Septimin</h2> Commas: 225/224, 84035/82944<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="x-Slender"></a><!-- ws:end:WikiTextHeadingRule:8 -->Slender</h2> Commas: 225/225, 589824/588245<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="x-Triton"></a><!-- ws:end:WikiTextHeadingRule:10 -->Triton</h2> Commas: 225/224, 1029/1000<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="x-Escapade"></a><!-- ws:end:WikiTextHeadingRule:12 -->Escapade</h2> Commas: 225/224, 12288/12005<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="x-Marvo"></a><!-- ws:end:WikiTextHeadingRule:14 -->Marvo</h2> Commas: 225/224, 78125000/78121827</body></html>