The H8000 has 1500 different presets but does not have the specific one you are looking for. That would be a NO.
It has the capability to do what you want, but this would require some work on your part (there is a bit of a learning curve).
As mentioned in my last reply, you must modify the sigfile to subtract the current "pitch" output from the MULTISHIFTER from the MIDINOTE value.
If you want to do this, you will need to invest some time in studying how the unit works – it's not something we can do for you.
We have not done this ourselves so I cannot give you specific advice. If you are interested enough, you will need a PC, download Vsig, and study the documentation.