Cobham branched out to jazz fusion, which blended elements of jazz, rock and roll and funk, playing and recording with the Brecker Brothers (notably in their 1970-founded group Dreams), and guitarist John Abercrombie, before recording and touring extensively with trumpeter Miles Davis. Cobham's work with Davis appears on A Tribute to Jack Johnson (1971), among other recordings.
Cobham is one of the first drummers to play open-handed lead: a drummer that plays on a right-handed set but leads with his left hand on the hi-hat instead of crossing over with his right (and also has his ride cymbal on the left side, instead of the traditional right). He typically plays with multiple toms and double bass drums and was well known in the 1970s for his large drum kits
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