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Explore crossover summation.

Calculate complex magnitude and phase for first-order, second-order Butterworth, and second/fourth-order Linkwitz–Riley pairs, then add driver offset, level, and polarity to chart the acoustic sum.

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    01

    Complex phase and summed response

    02

    Acoustic offset and polarity

    03

    Response, phase, and CSV

    This is an ideal electrical-filter and flat-driver model, not a passive component designer. Real work requires measured magnitude/phase plus driver roll-off, acoustic centers, baffle, directivity, impedance, and protection filters.

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