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Jack white? "One of the best" Best what? Isn't he the guy that plays the same riff over and over? THE most over rated guitarist I can think of.Best alternative guitarist? How about Tom Morello? Haven't heard noise like that come out of a guitar since Jeff Beck. Of course, as always, this is all just taste and opinion, so don't let me piss ya off!
but The White Stripes are very minimalistic. And Sunshine of Your Love was a pretty simple riff played over and over. Try this: 
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