99edo: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 234937700 - Original comment: ** |
Wikispaces>hstraub **Imported revision 238155813 - 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:hstraub|hstraub]] and made on <tt>2011-06-22 09:02:40 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>238155813</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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Using the [[patent val]], <99 157 230 278 342|, 99 is the [[optimal patent val]] for the rank four temperament tempering out 121/120; zeus, the rank three temperament tempering out 121/120 and 176/175; and hitchcock (11-limit amity), the rank two temperament which also tempers out 2200/2187. Using the <99 157 230 278 343| val, 99 tempers out 896/891, 243/242, 441/440 and 540/539, and is an excellent tuning for the 11-limit version of [[Breedsmic temperaments|hemififths temperament]]. Hence 99, in spite of the fact that it tunes 11 relatively badly, is an important 11-limit tuning in more than one way. | Using the [[patent val]], <99 157 230 278 342|, 99 is the [[optimal patent val]] for the rank four temperament tempering out 121/120; zeus, the rank three temperament tempering out 121/120 and 176/175; and hitchcock (11-limit amity), the rank two temperament which also tempers out 2200/2187. Using the <99 157 230 278 343| val, 99 tempers out 896/891, 243/242, 441/440 and 540/539, and is an excellent tuning for the 11-limit version of [[Breedsmic temperaments|hemififths temperament]]. Hence 99, in spite of the fact that it tunes 11 relatively badly, is an important 11-limit tuning in more than one way. | ||
===Music in 99edo | =Scales= | ||
[[tutone6]] | |||
[[tutone7]] | |||
[[tutone13]] | |||
=Music in 99edo= | |||
[[http://www.archive.org/details/NonagintaEtNovem|Nonaginta et Novem]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/Nonaginta%20et%20Novem.mp3|play]] by [[Gene Ward Smith]]</pre></div> | [[http://www.archive.org/details/NonagintaEtNovem|Nonaginta et Novem]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/Nonaginta%20et%20Novem.mp3|play]] by [[Gene Ward Smith]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
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Using the <a class="wiki_link" href="/patent%20val">patent val</a>, &lt;99 157 230 278 342|, 99 is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank four temperament tempering out 121/120; zeus, the rank three temperament tempering out 121/120 and 176/175; and hitchcock (11-limit amity), the rank two temperament which also tempers out 2200/2187. Using the &lt;99 157 230 278 343| val, 99 tempers out 896/891, 243/242, 441/440 and 540/539, and is an excellent tuning for the 11-limit version of <a class="wiki_link" href="/Breedsmic%20temperaments">hemififths temperament</a>. Hence 99, in spite of the fact that it tunes 11 relatively badly, is an important 11-limit tuning in more than one way.<br /> | Using the <a class="wiki_link" href="/patent%20val">patent val</a>, &lt;99 157 230 278 342|, 99 is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank four temperament tempering out 121/120; zeus, the rank three temperament tempering out 121/120 and 176/175; and hitchcock (11-limit amity), the rank two temperament which also tempers out 2200/2187. Using the &lt;99 157 230 278 343| val, 99 tempers out 896/891, 243/242, 441/440 and 540/539, and is an excellent tuning for the 11-limit version of <a class="wiki_link" href="/Breedsmic%20temperaments">hemififths temperament</a>. Hence 99, in spite of the fact that it tunes 11 relatively badly, is an important 11-limit tuning in more than one way.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt; | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:0 -->Scales</h1> | ||
<a class="wiki_link_ext" href="http://www.archive.org/details/NonagintaEtNovem" rel="nofollow">Nonaginta et Novem</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/Nonaginta%20et%20Novem.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a></body></html></pre></div> | <a class="wiki_link" href="/tutone6">tutone6</a><br /> | ||
<a class="wiki_link" href="/tutone7">tutone7</a><br /> | |||
<a class="wiki_link" href="/tutone13">tutone13</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Music in 99edo"></a><!-- ws:end:WikiTextHeadingRule:2 -->Music in 99edo</h1> | |||
<a class="wiki_link_ext" href="http://www.archive.org/details/NonagintaEtNovem" rel="nofollow">Nonaginta et Novem</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/Nonaginta%20et%20Novem.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a></body></html></pre></div> | |||
Revision as of 09:02, 22 June 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 hstraub and made on 2011-06-22 09:02:40 UTC.
- The original revision id was 238155813.
- 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 //99 equal temperament//, often abbreviated 99-tET, 99-EDO, or 99-ET, is the scale derived by dividing the octave into 99 equally-sized steps, where each step represents a frequency ratio of 12.1212 cents. It is a very strong 7-limit (and 9 odd limit) temperament, but extending it to the 11-limit requires choosing which mapping one wants to use, as both are nearly equally far of the mark. It tempers out 3136/3125, 5120/5103, 6144/6125, 2401/2400 and 4375/4374, and supports hemififths, amity, parakleismic, hemiwuerschmidt and ennealimmal temperaments, and is pretty well a perfect tuning for hendecatonic temperament. It has a sound defined by the slight sharpness (1.075, 1.565, 0.871 cents) of its 3, 5, and 7. Using the [[patent val]], <99 157 230 278 342|, 99 is the [[optimal patent val]] for the rank four temperament tempering out 121/120; zeus, the rank three temperament tempering out 121/120 and 176/175; and hitchcock (11-limit amity), the rank two temperament which also tempers out 2200/2187. Using the <99 157 230 278 343| val, 99 tempers out 896/891, 243/242, 441/440 and 540/539, and is an excellent tuning for the 11-limit version of [[Breedsmic temperaments|hemififths temperament]]. Hence 99, in spite of the fact that it tunes 11 relatively badly, is an important 11-limit tuning in more than one way. =Scales= [[tutone6]] [[tutone7]] [[tutone13]] =Music in 99edo= [[http://www.archive.org/details/NonagintaEtNovem|Nonaginta et Novem]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/Nonaginta%20et%20Novem.mp3|play]] by [[Gene Ward Smith]]
Original HTML content:
<html><head><title>99edo</title></head><body>The <em>99 equal temperament</em>, often abbreviated 99-tET, 99-EDO, or 99-ET, is the scale derived by dividing the octave into 99 equally-sized steps, where each step represents a frequency ratio of 12.1212 cents. It is a very strong 7-limit (and 9 odd limit) temperament, but extending it to the 11-limit requires choosing which mapping one wants to use, as both are nearly equally far of the mark. It tempers out 3136/3125, 5120/5103, 6144/6125, 2401/2400 and 4375/4374, and supports hemififths, amity, parakleismic, hemiwuerschmidt and ennealimmal temperaments, and is pretty well a perfect tuning for hendecatonic temperament. It has a sound defined by the slight sharpness (1.075, 1.565, 0.871 cents) of its 3, 5, and 7.<br /> <br /> Using the <a class="wiki_link" href="/patent%20val">patent val</a>, <99 157 230 278 342|, 99 is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank four temperament tempering out 121/120; zeus, the rank three temperament tempering out 121/120 and 176/175; and hitchcock (11-limit amity), the rank two temperament which also tempers out 2200/2187. Using the <99 157 230 278 343| val, 99 tempers out 896/891, 243/242, 441/440 and 540/539, and is an excellent tuning for the 11-limit version of <a class="wiki_link" href="/Breedsmic%20temperaments">hemififths temperament</a>. Hence 99, in spite of the fact that it tunes 11 relatively badly, is an important 11-limit tuning in more than one way.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:0 -->Scales</h1> <a class="wiki_link" href="/tutone6">tutone6</a><br /> <a class="wiki_link" href="/tutone7">tutone7</a><br /> <a class="wiki_link" href="/tutone13">tutone13</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Music in 99edo"></a><!-- ws:end:WikiTextHeadingRule:2 -->Music in 99edo</h1> <a class="wiki_link_ext" href="http://www.archive.org/details/NonagintaEtNovem" rel="nofollow">Nonaginta et Novem</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/Nonaginta%20et%20Novem.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a></body></html>