Fokker block
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2010-06-29 06:07:41 UTC.
- The original revision id was 150918683.
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Original Wikitext content:
The Fokker block is one of the most notable inventions of the physicist and music theorist [[http://en.wikipedia.org/wiki/Adriaan_Fokker|Adriaan Fokker]]. While the idea generalizes easily to [[just intonation subgroups]], for ease of exposition we will suppose that we are in a [[Harmonic Limit|p-limit]] situation with n=pi(p) primes up to an including p. Suppose we have n-1 independent commas, so that the wedge product of the monzos is non-zero and the GCD of its coordinates 1. If we take the [[http://Hodge dual|Hodge dual], also called the complement of this (n-1)-monzo we get a val; the Hodge dual can be found by reversing the (n-1)-monzo while alternating signs.
Original HTML content:
<html><head><title>Fokker blocks</title></head><body>The Fokker block is one of the most notable inventions of the physicist and music theorist <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Adriaan_Fokker" rel="nofollow">Adriaan Fokker</a>. While the idea generalizes easily to <a class="wiki_link" href="/just%20intonation%20subgroups">just intonation subgroups</a>, for ease of exposition we will suppose that we are in a <a class="wiki_link" href="/Harmonic%20Limit">p-limit</a> situation with n=pi(p) primes up to an including p. Suppose we have n-1 independent commas, so that the wedge product of the monzos is non-zero and the GCD of its coordinates 1. If we take the [[<!-- ws:start:WikiTextUrlRule:3:http://Hodge --><a class="wiki_link_ext" href="http://Hodge" rel="nofollow">http://Hodge</a><!-- ws:end:WikiTextUrlRule:3 --> dual|Hodge dual], also called the complement of this (n-1)-monzo we get a val; the Hodge dual can be found by reversing the (n-1)-monzo while alternating signs.</body></html>