Here's how to play polyrhythms perfectly in time. This trick works on common polyrhythms like 3 against 2 and 4 against 3, but also any other figure. 11 against 4? Why not. (I'm looking at you, Chopin.)

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Additional practice video for 4:3:    • Four against three (4:3) POLYRHYTHM p...  
More interactive rhythm practice:    • Play any RHYTHM easily - perfect your...  

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Polyrhythms give this off-kilter, spiraling sensation that's pretty well unparalleled in the world of standard rhythms. You might imagine learning poly-rhythms is essential for pianists, drummers or anyone who plays an instrument and sings (you'd be right) but it's also important for any modern musician, even those who play totally monophonic instruments. Why? Often enough, the music you're playing will call on you to create a poly rhythm with the prevailing groove. Feeling this properly is crucial for a flawless execution.

Plus performing a polyrhythm is a way to practice hearing, internalizing and expressing two (or more) concurrent non-derivative musical ideas: a core musical skill!