Generator-offset property: Difference between revisions
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Tags: Mobile edit Mobile web edit |
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These give exactly three distinct sizes for every interval class. Hence ''S'' is SV3. | These give exactly three distinct sizes for every interval class. Hence ''S'' is SV3. | ||
In this case S has two chains of Q, one with floor(''n''/2) notes | In this case S has two chains of Q, one with floor(''n''/2) notes and one offset by Q<sup>(''f''−1)</sup>R with ceil(''n''/2) notes. Every instance of Q must be a ''k''-step, since by '''Z'''-linear independence Q = αa + βb + γc is the only way to write Q in the basis (a, b, c); so ''S'' is well-formed with respect to Q. Thus ''S'' also satisfies the generator-offset property with generator Q. | ||
'''Case 2:''' μ ≥ ceil(''n''/2), i.e. Λ<sub>2</sub> has fewer β than β′. | '''Case 2:''' μ ≥ ceil(''n''/2), i.e. Λ<sub>2</sub> has fewer β than β′. |