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Your recieving FM on that Silvertone in close proximity to the station sounds to me like your set picking up a harmonic. All transmitters produce some amount of harmonics (I don't fully understand harmonics, but I believe that they are multiples of the desired frequency) which the owners of the transmitters go to great lengths to suppress, but at close range to a powerful transmitter it is not all that difficult to imagine that the harmonics were strong enough to tune in clearly.
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