The two plots below show the magnitude of impedance versus frequency. The one that shows the big difference is when the pickup is unloaded. The resonance of the four coil pickup is above the range of the measurement. The one that shows very little difference is with a 778 pf capacitor across the pickup.
You can expect a somewhat bigger difference between the single and four coil pickups (when loaded by the cable capacitance) as you wind on more turns. Both the inductance and capacitance of the coils will increase. However, only the increasing capacitance contributes to the difference between the resonant frequencies. This is because the inductances of both single and four coil pickups increase similarly, and both contribute to lowering the resonant frequency. On the other hand, only the increase of the capacitance of the single coil pickup contributes because the capacitance of the four coil pickup is still too low to matter much relative to the cable capacitance. So one does not expect doubling the number of turns to make the difference large.
You can expect a somewhat bigger difference between the single and four coil pickups (when loaded by the cable capacitance) as you wind on more turns. Both the inductance and capacitance of the coils will increase. However, only the increasing capacitance contributes to the difference between the resonant frequencies. This is because the inductances of both single and four coil pickups increase similarly, and both contribute to lowering the resonant frequency. On the other hand, only the increase of the capacitance of the single coil pickup contributes because the capacitance of the four coil pickup is still too low to matter much relative to the cable capacitance. So one does not expect doubling the number of turns to make the difference large.
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