It's easier to see what's happening when we isolate the cymbal and hihat:
It's a natural rhythm for any jazz or funk drummer to lapse into when improvising. I've put the normal bass drum leading into the 1, plus the basic left hand coordination parts based on the 4, and on the 3:
Learn the patterns, then work out with them doing all my basic left hand moves. Use my practice loop in 6/8 sampled from Eddie Palmieri.
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