MOS scale: Difference between revisions

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# Mode of a Christoffel word: The scale can be formed by creating a 2D lattice where the period is on the lattice, then taking pitches by travelling vertically and horizontally from the origin, maintaining as close to the line from the origin to the octave as possible without going above it.
# Mode of a Christoffel word: The scale can be formed by creating a 2D lattice where the period is on the lattice, then taking pitches by travelling vertically and horizontally from the origin, maintaining as close to the line from the origin to the octave as possible without going above it.


While each characterization has a generalization to scale structures with more step sizes, the generalizations are not equivalent. The concepts of [[Balanced word|balance]] and [[Distributional evenness]] provide still different generalizations, although defining MOS through these terms is less helpful. For more information, see [[Mathematics of MOS]].   
While each characterization has a generalization to scale structures with more step sizes, the generalizations are not equivalent. The concepts of [[Balanced word|balance]] and [[distributional evenness]] provide still different generalizations, although defining MOS through these terms is less helpful. For more information, see [[Mathematics of MOS]].   


See the [[catalog of MOS]] for a collection of MOS scales.  
See the [[catalog of MOS]] for a collection of MOS scales.