I stumbled on this circuit (PDF, redrawn below), built it on a breadboard and bingo - works like a charm with a nice 1.0053kHz sine wave on the output. A little noisy given the breadboard, but satisfying.
1. What is this type of oscillator/circuit called?
2. How does one go about selecting the output frequency? At the moment it is set to around 1kHz - how would I (for instance) change this to 10kHz?