Resonant frequency and its reproduction.

[MzR]

Hello everyone.
As many people know, every pickup has a resonant frequency and a Q factor. Today the cnc machine can make winding according to the exact parameters.
My question is: how to calculate the number of turns per layer, the total number of turns and the wire gauge, knowing the resonant frequency and Q factor?

[jack briggs]

Hello everyone.
As many people know, every pickup has a resonant frequency and a Q factor. Today the cnc machine can make winding according to the exact parameters.
My question is: how to calculate the number of turns per layer, the total number of turns and the wire gauge, knowing the resonant frequency and Q factor?

the 64 thousand dollar question......

[vintagekiki]

http://pickups.adamziegler.com/programs.php
Pickup Calculator

http://www.jdguitarworks.com/coil/coil.html

https://music-electronics-forum.com/forum/instrumentation/pickup-makers/4070-calculating-turns-for-a-pickup

[Antigua]

Hello everyone.
As many people know, every pickup has a resonant frequency and a Q factor. Today the cnc machine can make winding according to the exact parameters.
My question is: how to calculate the number of turns per layer, the total number of turns and the wire gauge, knowing the resonant frequency and Q factor?

There are coil calculators on the internet, but most of them are crude, they assume an air coil and or a single layer of wire. What makes a pickup harder to calculate is that the wire almost certainly won't be laid neatly, so the magnetic coupling ratio between the turns won't be constant, and then there are steel or AlNiCo slugs occupying some of the surrounding space, and air filling up the balance, so the final inductance all said and done, factors a complex geometry. Trial and error is a lot easier than the math.

The Q factor will depend slightly on the series resistance of the wire, but mostly on the conductivity of the metals that surround the pickup, which will cause eddy currents, which is just a way of saying they will relate to the pickup like unwanted transformers that have shorted secondaries, reducing the Q factor. If you say what kind of pickup your making, we can talk more about that, every popular pickup construction has a slightly different structure. The onces with steel pole pieces have the lower Q factors in general.

[MzR]

I'm interested in humbuckers. Even the banal PAF, someone says that you need to wind 80 turns per layer, and someone 100. I'm interested in making pickups consciously. In Russia, I know at least 3 masters who can mathematically calculate and make the desired resonant frequency. But they don't want to share information. as I understand it can be calculated by those who are engaged in speakers, transformers. although there are other coils. I had a home-made machine working according to Leesonа principle, and I did not think about the density of turns per layer. last week I put together a cnc machine and can now reproduce any number of turns and repeat them with 100% match.

[Antigua]

I'm interested in humbuckers. Even the banal PAF, someone says that you need to wind 80 turns per layer, and someone 100. I'm interested in making pickups consciously. In Russia, I know at least 3 masters who can mathematically calculate and make the desired resonant frequency. But they don't want to share information. as I understand it can be calculated by those who are engaged in speakers, transformers. although there are other coils. I had a home-made machine working according to Leesonа principle, and I did not think about the density of turns per layer. last week I put together a cnc machine and can now reproduce any number of turns and repeat them with 100% match.

You could make a formula with curve fitting https://en.wikipedia.org/wiki/Curve_fitting , and since the PAF is such a generic foot print, I think something like that would be highly useful, especially if someone wants to create a perfect clone of a given pickup, but none the less, nobody has stepped up to the plate and undertaken the task, as far as I know. A lot of pickup makers probably don't care a whole lot about what the inductance of their creations happens to be. Pickups have a more complex geometry than speakers or transformers, because they're more singular in their intention, where as a pickup is a transducers that also happens to have a ridiculous amount of parasitic inductance.

With a PAF pickup, most of the eddy currents will come from the steel slugs and screws, it doesn't matter at all if it's 1018 steel or another low carbon grade. If the PAF has a brass cover, that will also cause a lot of eddy currents. The base plate doesn't cause as much eddy currents, regardless of the material, because it's a little further from the coil than either the slugs/screws or the cover. PAF's are usually paired with 500k pots, and that gives them a rather sharp resonant knee, so they sound clear, neither too dull nor too resonant. PAF with a brass cover can sound dull, even if they're paired with 500k pots. That's why the best PAF replicas on the market use nickel silver covers, but I've found variation in Q factors among them based on their thicknesses, and I suspect, the thickness of the copper substrate layer when they're chrome plated.

[MzR]

Maybe you know, has anyone created a database for winding pickups on cnc machines?

[Antigua]

Maybe you know, has anyone created a database for winding pickups on cnc machines?

I doubt there is any such thing out there, but if you Google "cnc guitar pickup winding" you'll find a small handful of people who have tried it. One of them might recorded data that they're willing to share.