1960s (CDs only)

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BBB & CO. (Prestige/Swingville OCJCCD-758-2)
Carter with Ben Webster and Barney Bigard recorded in 1962.

FURTHER DEFINITIONS (Including ADDITIONS TO FURTHER DEFINITIONS) (Impulse 229)
Carter arrangements for sax quartet including Coleman Hawkins, Charlie Rouse, and Phil Woods, 1961, and followup recording from 1966, both now on one CD.