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The most common method of holding drumsticks based on my experience (and this is how I do it as well), is holding the two drumsticks like a spoon and a fork, like this :
However, I do occasionally find some drummers using a different method. One example I remember is from the movie Whiplash :
What are the different ways to hold drumsticks and what are the pros and cons of each? Should I invest time to familiarize myself with other stances?