Chromatic staff

[Kevin Dalley]

I know that alternative notation and chromatic staffs comes up once in
a while.  Let's choose a simple one, and assume that I can write some
C++, Python, and Scheme.  How would I change the notation to using 6-6
Tetragram?  

http://web.syr.edu/~pwmorris/www.mnma.org/gallery/4LineNotations.html

The notes for this notation look the same as the standard notation,
they are just in different positions, spaced chromatically rather than
diatonically.

I see 2 major items:

Create a 4 line staff, rather than the standard 5 line staff.  Of
course, the lines represent different notes than the standard staffs
represent. 

Place the notes in the correct position vertically.  This is probably
not too difficult for an experience Lilyponder, which I am not.  For
each pitch, the note is in some well-defined vertical position
relative to the staff.  A sharp and B flat are in the same position, B
and B flat are in different positions.

Where do I look for a start to solving this problem?