Aprox.30 inches--from ANY angle/measurement (up/down-- side to side and naturally 30 in front of the tv).
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you said you have a hdtv is it a tube? or crt or lcd? if it is a crt you can mostlikely put it close, if it is a lcd doesn't matter if it is a tube they are teh most sensitive. also depends on the size of the magnet on the speaker and you can put a metal plate between the speaker and tv for shielding.