An energy transfer machine includes a piston and cylinder. The piston can have a rocking motion as it enters and exits the cylinder, for example due to one being on a rotor and the other on a stator. The piston and cylinder form a primary chamber, and as they move relative to each other can form a seal separating the primary chamber into first and second sub-chambers which then unseals before the piston exits the cylinder. The first sub-chamber may reach a maximum geometric compression ratio, for example for the purpose of compression ignition, before the unsealing of the sub-chambers.