This is a common blues and country rhythm, used in tunes like "Got My Mojo Working" by Muddy Waters. In addition to soloing, try playing along with the bass. The "One Five" bass line makes a good harmonica part when other instruments take their solos. The chords for the track in G are here.
Steady Two Beat in G
Steady Two Beat in A
Steady Two Beat in C
Steady Two Beat in D
Steady Two Beat in E
Steady Two Beat in F