Fokker block: Difference between revisions

BudjarnLambeth (talk | contribs)
m Update todo
No edit summary
Line 1: Line 1:
<!-- add beginner section that explains how to build Fokker blocks either by hand or using common software, along with visualizations? -->{{todo|add illustration|improve linking|review}}
<!-- add beginner section that explains how to build Fokker blocks either by hand or using common software, along with visualizations? -->{{todo|add illustration|improve linking|review}}
{{Wikipedia| Fokker periodicity block }}
{{Wikipedia| Fokker periodicity block }}
{{Todo|rewrite|inline=1|text=Remove all references to wedgies, as per [[User:VectorGraphics/Operation_Loosen_Underpants]]}}
A '''Fokker block''' (or periodicity block) is a [[periodic scale|periodic]] [[scale]] that can be thought of as a tile on a lattice of [[pitch class]]es (of a [[JI subgroup]] or a [[regular temperament]]) shaped as a parallelogram, parallelepiped or higher-dimensional analog. It comprises those intervals in the lattice which fall inside the tile after moving the tile on the lattice to a place where no lattice point is on its boundary. (Different positions of the tile can create scales which are not rotations of each other.) The scale repeats at the [[interval of equivalence]], which lies on the [[1/1|unison]] in the lattice of pitch classes.  
A '''Fokker block''' (or periodicity block) is a [[periodic scale|periodic]] [[scale]] that can be thought of as a tile on a lattice of [[pitch class]]es (of a [[JI subgroup]] or a [[regular temperament]]) shaped as a parallelogram, parallelepiped or higher-dimensional analog. It comprises those intervals in the lattice which fall inside the tile after moving the tile on the lattice to a place where no lattice point is on its boundary. (Different positions of the tile can create scales which are not rotations of each other.) The scale repeats at the [[interval of equivalence]], which lies on the [[1/1|unison]] in the lattice of pitch classes.