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Matching crossover points do not guarantee matching phase.

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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