mulitple time signatures

[David Hughes]

Is LilyPond able to create multiple time signatures occuring at the same
time on seperate staves?  For example a flute part in 3/4 and a clarinet
part in 4/4.  I tried the following text but all I got was two staves in 4/4
with notes spaced and barred incorrectly. I am a composer who would love to
leave my Windows world behind but have yet to find a notation program in the
Linux world that compares to Finale.  I haven't spent too much time with
LilyPond yet so I may find an answer to this question as I dig deeper.
Thanks for any help...

 \score {
            \notes
            < \context Staff = staffA {
                \time 3/4
                \clef violin
                \relative c'' { e2 ( d4 c2 b4 [a8 a] [b b] [g g] )a2. }
              }
              \context Staff = staffB {
                 \time 4/4
                 \clef bass
                 c2 e4  g2.
                f4 e d c2.
              }
            >
            \paper {}
          }