MOS scale: Difference between revisions
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# 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 {{nowrap|''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'' {{sfrac|''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'' {{=}} {{sfrac|''p''|''q''}} ''x''}} that stays as close to the line without crossing it.) | # Mode of a Christoffel word. (A ''Christoffel word with rational slope'' {{sfrac|''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'' {{=}} {{sfrac|''p''|''q''}} ''x''}} that stays as close to the line 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]]. | ||