You can play Band Hero Drum with Rock Band 2, not rock band 1 (
you have to transfer the songs from RB1 to RB2 to play with Band
Hero Drums)
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All Guitar Hero Instrument are compatible with Band Hero.
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The Band Hero Guitar works on DJ Hero 1 on the same console as
the guitar. The guitar only has parts on a minimal amount of songs,
though.
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No, guitar hero works with band hero, but guitar hero and band
hero do not work with rock band and vice versa
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Yes you can use The rock Band 2 set with Band hero.
The Band Hero (Guitar Hero) Drum set has the Orange cymbal,
which is one more pad than the rock Band 2 drum set. Fortunately
Band Hero Detects that and modifies it songs for the Rock Band 2
Drum Set.