Do the Guitar Hero World Tour instruments work with Rock Band 2, and vice versa?

How to Buy a Guitar, Part 1: The Basics

Official Guitar Hero/Rock Band Instrument Compatibility Chart

Guitar Hero World Tour - Wikipedia

The Multi-scale Mystery Unraveled

Rock Band (video game) - Wikipedia

Guitar Hero World Tour Unboxing Pictures

Rock Band 2 (2008) - MobyGames

Rock Band 3 - Wikipedia

PS3 Guitar Hero GAME SERIES - Legends of Rock World Tour Metallica Warriors etc

Guitar Hero III: Legends of Rock Wireless Bundle : Video Games

Which Dongle do i need for these RockBand Drums? : r/Rockband

Guitar Hero World Tour Vs. Rock Band 2