there's so much more to it than just # of turns...
obviously for a particularly shaped bobbin (like a jazz), so many turns of a certain gauge = a certain sound...
but the tone of a pickup has to do primarily with inductance and this is dependant upon the geometry, the # of turns, and the core material...then in addition the capacitance comes into play (the interaction between the wire wraps) and this determines the resonant peak frequency...then the resistance (length and gauge of the wire) comes into play and determines the "degree" of the peak or the "Q".
Then, there's the position of the pickup, the strength of the magnetic field, the shape of the magnetic field...
It's really quite complicated...but so simple at the same time (when sticking to fixed criteria, such as #43 wire, jazz shaped bobbins, with Alnico 2 rods and located in the classic jazz positions).
GlennW has the one of the most valid approaches I've seen...overwind it...test it, and keep stripping it off bit by bit until you like the sound...it's such a subjective thing anyway, this is a very good way to really "tailor" a pickup to your liking...
Along the line of Glenn's without having to actually wind your own, you can select a pre-made pickup that you already know is quite hot and dark and modify it by stripping it in the same manner until you like it...
By the way...I had two similarly constructed cheap P-bass pickups in a particular bass...one measured 8.8k the other 14k...the 8.8k was even and mellow and the 14k is a bit hotter and darker...I'm finding that with the 14k, I'm running the passive tone control more open than I had with the 8.8k and this is actually giving me more tonal options since it's paired with a single-coil jazz bridge pickup on this particular bass.