Two Bass Hit
This is the wonderful "Two Bass Hit," composed by John Lewis and Dizzy Gillespie, as performed by Miles Davis on trumpet, Cannonball Adderley and John Coltrane on saxophones, Red Garland on piano, Paul Chambers on bass and Philly Joe Jones on drums, recorded on the fabulous 1958 album "Milestones."
Available on YouTube at this link.
The tempo is fast and the tune is in ABCD form. The rhythm section is what caught my interest, especially under the Coltrane and Cannonball solos.
After listening closely, here is what happens:

For convenience I divided the backgrounds the rhythm section uses into sections A, B and C, each of course 12 bars long.
After the head, Coltrane starts his solo. On the seventh chorus of his improvisation the rhythm section brings in the background I labeled section A, which repeats on the eighth and final chorus of Coltrane's solo and acts as a launch pad into Cannonball's solo.
When Cannonball enters, the rhythm section moves to the section B background for two choruses, then plays the section C background, again for two choruses, leaving Cannonball free with just bass and drums (Garland lays out).
By the fifth chorus the rhythm section picks the section A background back up for two choruses, then section B for another two, and finally section C for two more.
After that, Cannonball improvises for another two choruses, during which Miles also comps with a descending scale, before the drum solo and the final head.
P.S. Worth remembering that this year marks twenty years since Miles's passing.