Each instrument in your rhythm section: bass, kick, snare, hats, adds to the layers of rhythmic complexity or poly-rhythmic potential. Begin to divide the beat into triplets or even the half beat into triplets (add jazz swing or hip-hop swing) and the underlying poly-rhythmic complexity of the piece increases further still.
That said, once you have two rhythmic levels happening, then you are in the realm of poly-rhythms. The more you add, the more complex it becomes. So: Kick, Snare and Hats each playing different rhythms within the same basic beat framework (beat type and bpm) create poly-rhythms, whether on a drumkit or on a drum machine.
| 1 | e | & | u | 2 | e | & | u | 3 | e | & | u | 4 | e | & | u |
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Hats | X | | X | | X | | X | | X | | X | | X | | X | |
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Snare | | | | | X | | | X | | X | | X | X | | X | X |
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Kick | X | | | X | | | X | | X | | | X | | | X | |
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put this into your drum machine/sequencer and see what you think - add more hats so that you have hip hop swing (8th-16th triplet pairs), shift the snare offbeat 16ths to offbeat 16th triplets, do the same with the kicks offbeat 16ths
explore how simple transformations can make this so much more complex
the following audio clip takes the above and applies the transformations discussed
changing the hat pattern to 16ths
changing that pattern to triplet 8th-16th pairs
changing the kick and snare to triplet 8th-16ths as well
[mp3]http://www.bandcoach.org/fp/audio/polyrhythmsAgain.mp3[/mp3]