197edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2011-09-02 10:54:23 UTC.
- The original revision id was 250306556.
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Original Wikitext content:
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 <<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 <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 <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. == Scales == * [[prismarv]] * [[marveldene]] * [[pump12_1]] * [[pump12_1]] * [[pump13]] * [[pump14]] * [[pump15]] * [[pump16]] * [[pump17]] * [[pump18]]
Original HTML content:
<html><head><title>197edo</title></head><body>The 197 equal division gives excellent results for tuning both marvel, the planar temperament tempering out 225/224, and <a class="wiki_link" href="/Kleismic%20family">catakleismic</a>, the temperament <a class="wiki_link" href="/tempering%20out">tempering out</a> both 225/224 and 4375/4374, which has wedgie <<6 5 22 -6 18 37||. Among <a class="wiki_link" href="/Patent%20val">patent vals</a>, in fact, it gives the best results for both. In fact, the <a class="wiki_link" href="/11-limit">11-limit</a> patent val <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 (<a class="wiki_link" href="/prodigy%20temperament">prodigy temperament</a>) 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.<br /> <br /> If we use 197e, the <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 <a class="wiki_link" href="/marvel">marvel</a>, we get 11-limit <a class="wiki_link" href="/catakleismic">catakleismic</a>, and 197edo with the above <a class="wiki_link" href="/val">val</a> is also an excellent tuning for that.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Scales"></a><!-- ws:end:WikiTextHeadingRule:0 --> Scales </h2> <ul><li><a class="wiki_link" href="/prismarv">prismarv</a></li><li><a class="wiki_link" href="/marveldene">marveldene</a></li><li><a class="wiki_link" href="/pump12_1">pump12_1</a></li><li><a class="wiki_link" href="/pump12_1">pump12_1</a></li><li><a class="wiki_link" href="/pump13">pump13</a></li><li><a class="wiki_link" href="/pump14">pump14</a></li><li><a class="wiki_link" href="/pump15">pump15</a></li><li><a class="wiki_link" href="/pump16">pump16</a></li><li><a class="wiki_link" href="/pump17">pump17</a></li><li><a class="wiki_link" href="/pump18">pump18</a></li></ul></body></html>