I imagine it stands for "medium", but is it a tempo indication or does it mean something else/more? For example, how does
(Med. Bossa Nova) differ from
(Bossa Nova)? Some pieces also only have
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It's a tempo marking. There's no strict definition, but a medium tempo is often in the range of ~100-150 bpm.
Med. Bossa Nova means to play a bossa nova groove/style at a medium tempo. The Bossa Nova groove doesn't always have to be played at medium tempo. For example, check out this fast version of Girl From Ipanema, which is usually played at a medium tempo. A song in a jazz Real Book with just
Med (and no accompanying groove like
Bossa Nova) will usually be played as a swing.