The Last Trane represents the final studio session for Prestige in the productive recording relationship between John Coltrane and Red Garland. Often with trumpeter Donald Byrd on board, the two made a succession of dates in 1957 and '58 in which Coltrane's genius could be heard developing. His celebrated work with Thelonious Monk had deepened his harmonic understanding and reinforced his determination to explore beyond the boundaries of standard jazz improvisation. In his remarkable blues solo on "By the Numbers," Coltrane both affirms his roots and announces a new direction. Comparison with the other slow blues, “Slowtrane,” made eight months earlier, is instructive.