MOS scale: Difference between revisions
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# [[Binary]] and has a generator | # [[Binary]] and has a generator | ||
# Binary and [[distributionally even]] | # Binary and [[distributionally even]] | ||
# Binary and balanced (for any ''k'', any two ''k''-steps ''u'' and ''v'' differ by either 0 or L − s = c) | # Binary and balanced (for any ''k'', any two ''k''-steps ''u'' and ''v'' differ by either 0 or {{nowrap|L − s {{=}} c}}) | ||
# Mode of a Christoffel word. (A ''Christoffel word with rational slope'' ''p''/''q'' is the unique path from (0, 0) and (''p'', ''q'') in the 2-dimensional integer lattice graph above the ''x''-axis and below the line {{nowrap|''y'' {{=}} ''p''/''q'' * ''x''}} that stays as close to the line {{nowrap|''y'' = ''p''/''q'' * ''x''}} without crossing it.) | # Mode of a Christoffel word. (A ''Christoffel word with rational slope'' ''p''/''q'' is the unique path from (0, 0) and (''p'', ''q'') in the 2-dimensional integer lattice graph above the ''x''-axis and below the line {{nowrap|''y'' {{=}} ''p''/''q'' * ''x''}} that stays as close to the line {{nowrap|''y'' {{=}} ''p''/''q'' * ''x''}} without crossing it.) | ||
While each characterization has a generalization to scale structures with more step sizes, the generalizations are not equivalent. 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. For more information, see [[Mathematics of MOS]]. | ||