User talk:Frostburn/Geometric algebra for regular temperaments: Difference between revisions

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+== Good stuff ==
+The notion of using geometric algebra/Clifford algebra is pretty interesting - something we've talked about a little bit before but didn't get very far on. But yeah, the basic idea is that if you have the TE norm (which is just a scaled L2 norm) and the wedge product, those two automatically create a Clifford algebra. Thus, in a certain sense we already are using a Clifford algebra; we just haven't been doing that much with the Clifford product, which is basically the sum of the wedge product and the inner product. It probably makes the most sense to do this with vals, because in the space of monzos we tend to use the Tenney (scaled L1) norm instead. The L2 norm leads to some strange results on monzos. But it's still kind of interesting to look at it for vals, where the TE norm is a bit more natural.
+I would not worry all that much about fitting into the "Douglas Blumeyer and Dave Keenan's Intro to exterior algebra for RTT" page; that's just one writeup of the material and it uses terminology that differs from most of the rest of the Wiki. Still a useful read though so we left it up on the main Mathematical Theory page. [[User:Mike Battaglia|Mike Battaglia]] ([[User talk:Mike Battaglia|talk]]) 23:15, 23 May 2022 (UTC)
 == Syntax hint ==