Controlling the amount of fire by keyframing the Flame Rate works for me:



However it doesn't affect the smoke.

To affect the smoke as well, you could try animating the Volume Factor:



Controlling smoke/fire emision amount
I've recently watched a BBC documentary about the history of music and recall an episode where they talk about music that has two distinct tempos (and possibly time signatures) at the same time for different sets of instruments.

Still, I can't remember how this is called and who are the famous composers that composed that way (Stravinsky?).
