197edo: Difference between revisions

Wikispaces>Andrew_Heathwaite
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The 197 equal division gives excellent results for tuning both marvel, the planar temperament tempering out 225/224, and [[Kleismic_family|catakleismic]], the temperament [[tempering_out|tempering out]] both 225/224 and 4375/4374, which has wedgie &lt;&lt;6 5 22 -6 18 37||. Among [[Patent_val|patent vals]], in fact, it gives the best results for both. In fact, the [[11-limit|11-limit]] patent val &lt;197 312 457 553 682| has a comma basis [225/224, 4375/4374, 441/440, 65536/65219], so taking 225/224 and 441/440 together ([[prodigy_temperament|prodigy temperament]]) also works well with 197edo, and taking 225/224, 441/440, and 4375/4374 (an alternative 11-limit catakleismic) is once again excellently tuned by 197edo.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-31 02:16:19 UTC</tt>.<br>
: The original revision id was <tt>288887457</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>
<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 197 equal division gives excellent results for tuning both marvel, the planar temperament tempering out 225/224, and [[Kleismic family|catakleismic]], the temperament [[tempering out]] both 225/224 and 4375/4374, which has wedgie &lt;&lt;6 5 22 -6 18 37||. Among [[Patent val|patent vals]], in fact, it gives the best results for both. In fact, the [[11-limit]] patent val &lt;197 312 457 553 682| has a comma basis [225/224, 4375/4374, 441/440, 65536/65219], so taking 225/224 and 441/440 together ([[prodigy temperament]]) also works well with 197edo, and taking 225/224, 441/440, and 4375/4374 (an alternative 11-limit catakleismic) is once again excellently tuned by 197edo.


If we use 197e, the &lt;197 312 457 553 681| val, we can also use 197edo as an excellent tuning for the 11-limit version of marvel temperament, tempering out 385/384 as well as 225/224. If we add 4375/4374 to the comma list for 11-limit [[marvel]], we get 11-limit [[catakleismic]], and 197edo with the above [[val]] is also an excellent tuning for that.
If we use 197e, the &lt;197 312 457 553 681| val, we can also use 197edo as an excellent tuning for the 11-limit version of marvel temperament, tempering out 385/384 as well as 225/224. If we add 4375/4374 to the comma list for 11-limit [[Marvel|marvel]], we get 11-limit [[catakleismic|catakleismic]], and 197edo with the above [[val|val]] is also an excellent tuning for that.


197edo is the 45th [[prime numbers|prime]] edo.
197edo is the 45th [[prime_numbers|prime]] edo.


==Scales==  
==Scales==
* [[prismarv]]
<ul><li>[[prismarv|prismarv]]</li><li>[[marveldene|marveldene]]</li><li>[[pump12_1|pump12_1]]</li></ul>[http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3 Pump1 by Chris Vaisvil]
* [[marveldene]]
 
* [[pump12_1]]
<ul><li>[[pump12_1|pump12_1]]</li><li>[[pump13|pump13]]</li><li>[[pump14|pump14]]</li><li>[[pump15|pump15]]</li><li>[[pump16|pump16]]</li><li>[[pump17|pump17]]</li><li>[[pump18|pump18]]</li></ul>     [[Category:197edo]]
[[http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3|Pump1 by Chris Vaisvil]]
[[Category:catakleismic]]
* [[pump12_1]]
[[Category:edo]]
* [[pump13]]
[[Category:marvel]]
* [[pump14]]
[[Category:prime_edo]]
* [[pump15]]
[[Category:todo:add_definition]]
* [[pump16]]
* [[pump17]]
* [[pump18]]</pre></div>
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;197edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 197 equal division gives excellent results for tuning both marvel, the planar temperament tempering out 225/224, and &lt;a class="wiki_link" href="/Kleismic%20family"&gt;catakleismic&lt;/a&gt;, the temperament &lt;a class="wiki_link" href="/tempering%20out"&gt;tempering out&lt;/a&gt; both 225/224 and 4375/4374, which has wedgie &amp;lt;&amp;lt;6 5 22 -6 18 37||. Among &lt;a class="wiki_link" href="/Patent%20val"&gt;patent vals&lt;/a&gt;, in fact, it gives the best results for both. In fact, the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; patent val &amp;lt;197 312 457 553 682| has a comma basis [225/224, 4375/4374, 441/440, 65536/65219], so taking 225/224 and 441/440 together (&lt;a class="wiki_link" href="/prodigy%20temperament"&gt;prodigy temperament&lt;/a&gt;) also works well with 197edo, and taking 225/224, 441/440, and 4375/4374 (an alternative 11-limit catakleismic) is once again excellently tuned by 197edo.&lt;br /&gt;
&lt;br /&gt;
If we use 197e, the &amp;lt;197 312 457 553 681| val, we can also use 197edo as an excellent tuning for the 11-limit version of marvel temperament, tempering out 385/384 as well as 225/224. If we add 4375/4374 to the comma list for 11-limit &lt;a class="wiki_link" href="/marvel"&gt;marvel&lt;/a&gt;, we get 11-limit &lt;a class="wiki_link" href="/catakleismic"&gt;catakleismic&lt;/a&gt;, and 197edo with the above &lt;a class="wiki_link" href="/val"&gt;val&lt;/a&gt; is also an excellent tuning for that.&lt;br /&gt;
&lt;br /&gt;
197edo is the 45th &lt;a class="wiki_link" href="/prime%20numbers"&gt;prime&lt;/a&gt; edo.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Scales&lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/prismarv"&gt;prismarv&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/marveldene"&gt;marveldene&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pump12_1"&gt;pump12_1&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3" rel="nofollow"&gt;Pump1 by Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pump12_1"&gt;pump12_1&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pump13"&gt;pump13&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pump14"&gt;pump14&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pump15"&gt;pump15&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pump16"&gt;pump16&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pump17"&gt;pump17&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pump18"&gt;pump18&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>