I suspect that what you created is a very low inductance pickup, hence the brightness. Inductance is rather difficult to measure without a specialized meter. Which brings me to this gizmo, a pickup driver.
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These are actually
magnetic buzzers that I cut open, removed the metal discs and re-assembled. I ordered these originally to build a feedback sustainer - ala the Sustainiac, for one of my guitars. I had a few extra and decided to use two to excite pickups with a frequency sweep. The goal being to tailor passive tone control components to the pickup.
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I use the Generate function in Audacity to create a 40-4000Hz 20 second 'Chirp' that I play through the headphone output of my audio interface while recording the response of the pickup via the input. I then use the Plot spectrum feature to see the frequency response.
Here's a plot of a mid-scoop filter in the tone control:
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It's not perfect; I need to work out a good buffer with a flat frequency response for the input, but it does allow me to get an idea of how to tune things.
I've also used this setup to measure the inductance of pickups by putting a 10nF cap across the outputs of the pickup and looking at the resonant peak of the response, I can determine the inductance of the pickup by
L = 1 / (C(2 Pi F0)^2)
Typical pickups like the T-bird humbucker is 3.3H , the mini-hum on this bass measured out at 0.9H.