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The first rudiment we all learn is the single stroke roll which just consists of single strokes in each hand.
RL RL RL RL
The Double Stroke Roll exercise is also known as the Long Roll or the Double Stroke roll.
RR LL RR LL
The 5 Stroke Roll as demonstrated in this video consists of 2 sets of doubles and one single beat played as an accent
The Six stroke roll is played as two single notes and two double notes with the single notes being accented.
R ll rr L
The Single Paradiddle consists of 2 single strokes and one double stroke which then swaps it on to the opposite hand.
The Paradiddle Diddle is a single paradiddle but with two extra notes attached to the end played with the opposite hand.
The Flam is a simple rudiment but very difficult to perform acurately.
We play a Grace note just prior to the actual beat.
lR rL lR rL
This is the MOVING ACCENT exercise taught to me by Pete Riley at ACM. I believe it is originally taken from David Garibaldis book Future Sounds.
This is a short Video which shows how I was taught to strenghten my fingers by playing Singles, Doubles and Paradiddles on my for armes with my sticks.
Hope this helps.