Fokker block: Difference between revisions

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A '''Weak Fokker block''' (or weak periodicity block) is a region on a lattice of [[pitch class]]es (of a [[JI subgroup]] or a [[regular temperament]]) shaped as a parellelogram, parellelepiped, or higher-dimensional analog. Scales can be formed from a weak Fokker block comprising those intervals in the lattice which fall inside the parellelepiped (after moving the parellepiped on the lattice to a place where no lattice point is on its boundary). These scales repeat at the [[interval of equivalence]], which lies on the [[1/1|unison]] in the lattice of pitch classes. If the edges of the parellelepiped correspond to intervals so small that when a unit vector on the lattice is stacked it forms a [[mos]], the parellelepiped forms a (strong) '''Fokker block'''.

A '''Weak Fokker block''' (or weak periodicity block) is a region on a lattice of [[pitch class]]es (of a [[JI subgroup]] or a [[regular temperament]]) shaped as a parellelogram, parellelepiped, or higher-dimensional analog whose vertices lie in the lattice. Scales can be formed from a weak Fokker block comprising those intervals in the lattice which fall inside the parellelepiped (after moving the parellepiped on the lattice to a place where no lattice point is on its boundary). These scales repeat at the [[interval of equivalence]], which lies on the [[1/1|unison]] in the lattice of pitch classes. If the edges of the parellelepiped correspond to intervals so small that when a unit vector on the lattice is stacked it forms a [[mos]], the parellelepiped forms a (strong) '''Fokker block'''.

The concept of the Fokker block was developed by the physicist and music theorist [[Adriaan Fokker]].

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 {{Wikipedia| Fokker periodicity block }}
-A '''Weak Fokker block''' (or weak periodicity block) is a region on a lattice of [[pitch class]]es (of a [[JI subgroup]] or a [[regular temperament]]) shaped as a parellelogram, parellelepiped, or higher-dimensional analog. Scales can be formed from a weak Fokker block comprising those intervals in the lattice which fall inside the parellelepiped (after moving the parellepiped on the lattice to a place where no lattice point is on its boundary). These scales repeat at the [[interval of equivalence]], which lies on the [[1/1|unison]] in the lattice of pitch classes. If the edges of the parellelepiped correspond to intervals so small that when a unit vector on the lattice is stacked it forms a [[mos]], the parellelepiped forms a (strong) '''Fokker block'''.
+A '''Weak Fokker block''' (or weak periodicity block) is a region on a lattice of [[pitch class]]es (of a [[JI subgroup]] or a [[regular temperament]]) shaped as a parellelogram, parellelepiped, or higher-dimensional analog whose vertices lie in the lattice. Scales can be formed from a weak Fokker block comprising those intervals in the lattice which fall inside the parellelepiped (after moving the parellepiped on the lattice to a place where no lattice point is on its boundary). These scales repeat at the [[interval of equivalence]], which lies on the [[1/1|unison]] in the lattice of pitch classes. If the edges of the parellelepiped correspond to intervals so small that when a unit vector on the lattice is stacked it forms a [[mos]], the parellelepiped forms a (strong) '''Fokker block'''.
 The concept of the Fokker block was developed by the physicist and music theorist [[Adriaan Fokker]].