... the generated wave will be at the frequency of the electric angle,
It seems like you are mixing up some terms, which makes it hard to give a good answer.
Motors with permanent magnets are synchronous devices, so the electrical and mechanical frequencies are always the same (for a normally operating motor).
I also am not good with names.
Clarke & Park transform is, if I remember well, a part of the FOC algorithm.
The goal with FOC is to generate and maintain a 90 degree phase shift between the magnetic fields generated by the coils and the rotor to optimize efficiency.