This is a basic beat in 4/4 with accents phrased in 5 on the hi-hat. This implied polyrhythm can create a rhythmic tension in your songs and solos.
As a musician who plays the drums, your partner in rhythm in the band is the bass player. Here are some thoughts and examples on relating to your bass player in different musical situations.
We are going to break down this tom groove. It is done with one bass drum, but it can give the impression of double bass depending on how you tune the toms and how fast you play it.
Independence using paradiddles.
Even more exercises played against the standard jazz ride pattern.