So, 10 magnets with 9 independent coils would have 90 coils generating a current per turn, whereas 10/10 would have 100 coils generating a current per turn. Both would be AC (?).
You say "If 10 magnets and 10 coils then coils can be in series, each then needs to produce less voltage, so it can have less turns of thicker wire. It will produce an AC output." Why do we want a lower voltage? Why not wind it long and thin, and get a large voltage?
On the subject of AC. If a magnet (n) passes over a coil it will excite the electrons in a wave (U or n?). As the next magnet (S) approaches, the electrons are excited again, this I believe is AC. If I have one single coil and 10 magnets of alternating polarity, then surely this would produce an AC. Similarly, if I have 10 coils and 10 magnets of alternating polarity this would also produce an AC in each coil. So, as long as the magnets are of alternating polarity, the charge produced should be AC, regardless of the number of magnets, the number of coils etc...?
Thanks for answering my questions.