A lot to be said for having tone-deaf drummers, who don't try to play tunes on their drums.
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The important thing for Shakespeare, I'm sure, was having to work in with a bunch of hungry actors and a rowdy crowd of spectators who'd be sure to let him know what worked and what didn't. And pushing him to come up with the goods in a hurry. (That's where the images running through particular plays and driving them along come from, speed and pressure.)