Let’s face it.
Jazz is a style of music that moves in cycles and is quite predictable from a harmonic point of view.
Even though chord movements in jazz are predictive and reasonably straightforward, many melodic and harmonic variations can be created on the spot. So within a predictive and ‘set’ framework we have freedom to make things less predictive and more colourful!
Most of the progressions in jazz moves in the cycle of fourths. The II V I is the most important progression, and knowing how to improvise and use this progression intimately is of paramount importance to your jazz piano playing!
The chord progressions and movements of Johann Sebastian Bach is also very similar to jazz compositions. (Bach is a big fan of harmonic cycles!)
The wonderful pianist Jacques Loussier has demonstrated this throughout his musical career!
Cycles, cycles and more cycles… study cycles and YOU will understand the internal motor of jazz!