Marvel family: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 154004469 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 157888787 - 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>2010-08-23 13:02:42 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>157888787</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">The head of the marvel family is marvel, which tempers out 225/224, the septimal kleisma or marvel comma. Marvel has a [[Normal lists|normal list basis]] of [2, 3, 5]; hence a [[Harmonic Limit|5-limit]] scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by [[197edo]]. Another is 1/4-kleismic tuning, where the fifth is flattened by (225/224)^(1/4), 1/4 of a septimal kleisma. This leads to just 5/4 and 7/4 intervals,with other elements of the 7-limit tonality diamond sharp or flat by 1/4 septimal kleisma, or 1.93 cents. | <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">The head of the marvel family is marvel, which tempers out 225/224, the septimal kleisma or marvel comma. Marvel has a [[Normal lists|normal list basis]] of [2, 3, 5]; hence a [[Harmonic Limit|5-limit]] scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by [[197edo]]. Another is 1/4-kleismic tuning, where the fifth is flattened by (225/224)^(1/4), 1/4 of a septimal kleisma. This leads to just 5/4 and 7/4 intervals,with other elements of the 7-limit tonality diamond sharp or flat by 1/4 septimal kleisma, or 1.93 cents. | ||
Little is gained in tuning accuracy by not tempering out 4375/4374 as well as 225/224, leading to [[Kleismic family|catakleismic temperament]]. However, if that isn't of interest a tuning map which does not temper the ragisma out, for example via the vals <1204 1907 2793 3380| or <1329 2105 3083 3731| might be emplyed. | |||
==Eleven limit children== | ==Eleven limit children== | ||
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<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 family</title></head><body>The head of the marvel family is marvel, which tempers out 225/224, the septimal kleisma or marvel comma. Marvel has a <a class="wiki_link" href="/Normal%20lists">normal list basis</a> of [2, 3, 5]; hence a <a class="wiki_link" href="/Harmonic%20Limit">5-limit</a> scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by <a class="wiki_link" href="/197edo">197edo</a>. Another is 1/4-kleismic tuning, where the fifth is flattened by (225/224)^(1/4), 1/4 of a septimal kleisma. This leads to just 5/4 and 7/4 intervals,with other elements of the 7-limit tonality diamond sharp or flat by 1/4 septimal kleisma, or 1.93 cents. <br /> | <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 family</title></head><body>The head of the marvel family is marvel, which tempers out 225/224, the septimal kleisma or marvel comma. Marvel has a <a class="wiki_link" href="/Normal%20lists">normal list basis</a> of [2, 3, 5]; hence a <a class="wiki_link" href="/Harmonic%20Limit">5-limit</a> scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by <a class="wiki_link" href="/197edo">197edo</a>. Another is 1/4-kleismic tuning, where the fifth is flattened by (225/224)^(1/4), 1/4 of a septimal kleisma. This leads to just 5/4 and 7/4 intervals,with other elements of the 7-limit tonality diamond sharp or flat by 1/4 septimal kleisma, or 1.93 cents. <br /> | ||
<br /> | |||
Little is gained in tuning accuracy by not tempering out 4375/4374 as well as 225/224, leading to <a class="wiki_link" href="/Kleismic%20family">catakleismic temperament</a>. However, if that isn't of interest a tuning map which does not temper the ragisma out, for example via the vals &lt;1204 1907 2793 3380| or &lt;1329 2105 3083 3731| might be emplyed.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Eleven limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->Eleven limit children</h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Eleven limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->Eleven limit children</h2> | ||
The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.</body></html></pre></div> | The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.</body></html></pre></div> | ||
Revision as of 13:02, 23 August 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 2010-08-23 13:02:42 UTC.
- The original revision id was 157888787.
- 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:
The head of the marvel family is marvel, which tempers out 225/224, the septimal kleisma or marvel comma. Marvel has a [[Normal lists|normal list basis]] of [2, 3, 5]; hence a [[Harmonic Limit|5-limit]] scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by [[197edo]]. Another is 1/4-kleismic tuning, where the fifth is flattened by (225/224)^(1/4), 1/4 of a septimal kleisma. This leads to just 5/4 and 7/4 intervals,with other elements of the 7-limit tonality diamond sharp or flat by 1/4 septimal kleisma, or 1.93 cents. Little is gained in tuning accuracy by not tempering out 4375/4374 as well as 225/224, leading to [[Kleismic family|catakleismic temperament]]. However, if that isn't of interest a tuning map which does not temper the ragisma out, for example via the vals <1204 1907 2793 3380| or <1329 2105 3083 3731| might be emplyed. ==Eleven limit children== The second comma of the [[Normal lists|normal comma list]] defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.
Original HTML content:
<html><head><title>Marvel family</title></head><body>The head of the marvel family is marvel, which tempers out 225/224, the septimal kleisma or marvel comma. Marvel has a <a class="wiki_link" href="/Normal%20lists">normal list basis</a> of [2, 3, 5]; hence a <a class="wiki_link" href="/Harmonic%20Limit">5-limit</a> scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by <a class="wiki_link" href="/197edo">197edo</a>. Another is 1/4-kleismic tuning, where the fifth is flattened by (225/224)^(1/4), 1/4 of a septimal kleisma. This leads to just 5/4 and 7/4 intervals,with other elements of the 7-limit tonality diamond sharp or flat by 1/4 septimal kleisma, or 1.93 cents. <br /> <br /> Little is gained in tuning accuracy by not tempering out 4375/4374 as well as 225/224, leading to <a class="wiki_link" href="/Kleismic%20family">catakleismic temperament</a>. However, if that isn't of interest a tuning map which does not temper the ragisma out, for example via the vals <1204 1907 2793 3380| or <1329 2105 3083 3731| might be emplyed.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Eleven limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->Eleven limit children</h2> The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.</body></html>