automatic chord splitting in piano staff

[Jean-Alexis Montignies]

Hi There!

I’m writing a reduction of a big band part. The saxes have to be printed into a 
piano staff. For now I have written everything in one music expression. For 
instance:
{<g e c a,>8 q8 <f d b, g,>4 <ef c a, gf,> <d b, af, f,>8 <c a, g, e,>8 r8 q4. 
~ q4 r4}

I would like that every note below c automatically gets in the lower staff, and 
the rest in the upper staff.

Any suggestions?
I might a bit of scheme to do that. Any snippet that iterates through chord 
notes?

Thanks,

Jean-Alexis