Fokker block: Difference between revisions

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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|just intonation subgroups]] and tempered groups, 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.
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]. Informally, a Fokker block is a tile that can tessellate the entire temperament pitch-class lattice it lives in ("Pitch class lattice" means that the interval of equivalence is ignored). A Fokker block can be shaped like a parallelogram or other shapes. In a sense, Fokker blocks are a generalization of [[MOS]]es; MOSes are 1-dimensional Fokker blocks.
 
While the idea generalizes easily to [[Just_intonation_subgroups|just intonation subgroups]] and tempered groups, 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.


== Preliminaries ==
== Preliminaries ==