Being the oddball that I am, I decided to think about whether you could do it with magnets. What you want it something like a regular motor/generator, except you have fixed magnets in the rotor and stator. Also in a motor you usually only have three phases, because it gets complicated to do more. Here you don't have that problem. So I designed something with 31 poles acting against 32 teeth so you actually get 992 flux events per rotation. The plates looked something like:
And then when you stack two plates with magnets in between (north up in the rotor, south up on stator), you get something like,

Of course after drawing this, I think I'd change it to have 3x31 and 3x32 teeth so the forces would be balanced, and I'd probably make the ends of the teeth 40% or 30% of the spacing instead of 50% like I did initially.
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