Like everything else, there are outstanding and poor examples of each type, and there are pros and cons to each. Many crossovers have to address multiple issues as well as the basic function of blocking low or high frequencies. The execution of the crossover and addressing all of it’s task is more important than the type. Many, many speakers have really dreadful crossovers and lousy parts. Even many that are well engineered still use low grade parts, so ultimately many of us have only been exposed to very poor examples of passive crossovers.
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