Banjo Fm7 chord (Open G)F minor seventh on the 5-string banjo: 3 1 1 1, and 4 more shapes

Frets, string 4 to string 1: 3 1 1 1 (first position)

1. String 4 (D): 3rd fret, ring finger, F
2. String 3 (G): 1st fret, index finger (barre), A♭
3. String 2 (B): 1st fret, index finger (barre), C
4. String 1 (D): 1st fret, index finger (barre), E♭
5. String 5, the short g: open, G, not in the chord

Sounds: F A♭ C E♭  ·  Fm7 is F, A♭, C, E♭ (1 · ♭3 · 5 · ♭7)

The 5th string: the short g rubs against the A♭ in this shape, a semitone away: some players let it ring, some skip it.

With a capo: on the 3rd fret it’s 0 2 1 3 (frets counted from the capo), an open Dm7 shape. Spike the 5th string at the 8th fret to keep it in tune with the capo.

Open G tuning: gDGBD, the short 5th string first, then strings 4 to 1.