What is this component?

I'm just curious about a component that's on a board
in a synthesizer I have. It looks like a pot and it's
hooked to a knob that turns through about 315 degrees.
However, it has 4 leads instead of three. I've done
some measurements on it and they're not consistent
with it being a pot. What would it likely be?
.

Relevant Pages

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    ... Salami) scribed... ... in a synthesizer I have. ... It looks like a pot and it's ... But the resistances between the various leads do vary as I turn the knob; ...
    (sci.electronics.repair)