As far as the 2 and 4, I'd guess that NO ONE completely mutes them, except maybe beginners. I guess maybe some recordings could make it sound that way. Watch/listen to all the great players. They all grip and release (damp) with the left hand on EVERY beat. The amount and quality of tone that you get on each beat is a function of both right and left hand technique. It's all personal preference. Work on it until you get the sound that you like and then go be happy about it. There is no one 'right' way. The biggest things are have good time (#1), have good tone, make it swing, pick inversions that 'fit', don't clash with the other players, err on the side of keeping it low key (you are playing back up not lead). Do all that and the rest will fall into place (easier said than done). There's a lot to it and a lot of nuance. I'd say the biggest mistake people make about rhythm is assume it is easy and not really work at it.
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With the upstroke before it sounds just like the hi hat shuffle (triplet swing) rhythm. Da Daaaa....Da. Da...Daaaa.....Da
Hey Denis, all the audio files don't come up for me (even on the Djangobooks post). Is there another way to view the article?
Watch it on YouTube and you'll find some others in the Patrus series.