How did Eurythmics get their name?

It was in a hotel in Wagga Wagga, Australia, while playing around with a portable mini-synthesizer that Lennox and Stewart decided to become a duo. Calling themselves Eurythmics (after the pedagogical exercise system that Lennox had encountered as a child), they decided to keep themselves as the only permanent members and songwriters, and involve others in the collaboration "on the basis of mutual compatibility and availability."