Banjo E♭ chord (Double C)E♭ major on the 5-string banjo: 3 3 3 5, and 4 more shapes

Frets, string 4 to string 1: 3 3 3 5 (from the 3rd fret)

1. String 4 (C): 3rd fret, index finger (barre), E♭
2. String 3 (G): 3rd fret, index finger (barre), B♭
3. String 2 (C): 3rd fret, index finger (barre), E♭
4. String 1 (D): 5th fret, ring finger, G
5. String 5, the short g: open, G, in the chord

Sounds: E♭ B♭ E♭ G  ·  E♭ is E♭, G, B♭ (1 · 3 · 5)

Found in: C dorian (♭III), G minor (♭VI), C minor (♭III), B♭ major (IV), E♭ major (I), A♭ major (V)

The 5th string: the short g is the 3rd of E♭, so let it ring.

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

Double C tuning: gCGCD, the short 5th string first, then strings 4 to 1.