The heads of tape decks can become magnetized if exposed to a sufficiently strong electromagnetic field. This might result in excessive noise in the form of hiss during playback. The tapes themselves may also become partially erased when exposed. The precise amount of EM exposure at which a problem with deck performance or tape erasure becomes an issue varies with the deck in question or with the kind of tape in question, however. As a rule, unless you can measure the EMF coming from the subwoofer with a flux meter and compare the reading with what might be considered a safe exposure for your deck and tapes, I would advise avoiding such a location.
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HiDefDave
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HiDefDave