More nerdiness...
There is probably a piano synthesis engine, too.
Yup
That's why if you call up the DSP* on the piano on Genos, its category is miscellaneous, and type is damper resonance. They've had a specialized piano DSP since at least the CVP509, possibly earlier than that. On the current and CLP Clavinovas, it's called virtual resonance modelling.
Michael: simply put, yes DSP stands for digital signal processor which is supposed to mean a hardware unit, but as Paul explained in detail, it can also be software fx, which may or may not be a one to one mapping to a hardware dsp, or even a many to one.
In other words, we've just evolved the vernacular to mean an fx unit, either hardware or software. The Genos has 28 insert effects? We'll say 28 DSP's because, (also explained by Paul), we have no idea which are virtual which are physical
Mark