There's a comment thread on Music Thing full of suggestions for synthesizers that are appropriate for a 1-year-old girl. And by "appropriate" they don't mean "pink"; electronic music is not just for girls, you know. No, they mean "Tough knobs that can withstand tugging and teeth, built in speakers since cords are for yanking and chewing, an arpeggiator and/or rhythm generator so she can get her groove on."
There are already over a dozen recommendations, but my favorite comment is this: "Casio VL-Tone from when I was around 2, and it lasted until I was 8-9 despite being bashed around a lot. That and a tape of Kraftwerk given to me when I was 6 sorted me out."
Recommend a synth for a 13 month-old girl [musicthing.co.uk via dt reader adam]