You get extra coefficients appearing, but also extra coefficients disappearing. If 2 pi x is showing up everywhere, you still have to deal with it: d/dx sin(2

You get extra coefficients appearing, but also extra coefficients disappearing. If 2 pi x is showing up everywhere, you still have to deal with it: d/dx sin(2 pi x) = 2 pi cos(2 pi x) vs d/dy new_sin(y) = 2 pi new_cos(y) “Fundamental unit” really depends on what you care about.