Melvin Rhyne (October 12, 1936 – March 5, 2013, Indianapolis, Indiana), was a jazz organist best known for his work with Wes Montgomery.

Melvin Rhyne was born in Indianapolis in 1936 and started playing the piano shortly after. At 19 years old, Rhyne started playing piano with then-unknown tenor saxophonist Rahsaan Roland Kirk but quickly switched over to the instrument that would make him famous: the Hammond B3 organ. Rhyne’s piano skills translated to the organ fluently and before long he was backing famous blues players like B.B. King and T-Bone Walker. In 1959 he was asked to join fellow Indianapolis musician Wes Montgomery‘s newly formed trio.