tl;dr don’t bother. This is too abstracted and nuanced. That is okay to skip.

I like to understand the abstract scope of engineering. This is way beyond the simple surface level, with pics below to illustrate my point.

With electric guitar pickups, the complexity of field shaping and design control over the sensor seems like a place where optimising the profitable manufacturability of the final product remains the primary constraint with little deviation.

I struggle to qualify and quantify my intuitive hunch that there is a whole lot more potential to engineer something new and better within the realm of modern manufacturing. I don’t know the principal questions I should ask or what might disprove my ideas from the get go.

  • Most transformers shape the magnetic field far more than guitar pickups.
  • a guitar pickup appears to be more of a two dimensional sensor that picks up the motion of a ferromagnetic string in the two primary directions of motion
  • there are more complex harmonic motions present than a pickup can register in two dimensions
  • the coil and slugs of a pickup are surrounded by a single large winding, yet the strings each have very different frequencies
  • it is now possible to make a powdered ferrite core of nearly any shape and frequency
  • the traditional pickup has little effective shaping of the magnetic field path
  • guitar pickups are not optimised to a point where they are readily used elsewhere in other sensory applications and devices as economy of scale should dictate in an open and manipulation free market… I don’t think they are anyways
  • what might be the result if a 270° toroidal powdered core were designed and shaped for each string while tailoring the copper winding and ferrite for each string’s mean frequency and shielding each of these
  • would a chord segment gap in a toroidal core pick up more 3d motion from the string
  • what effect would a primary and secondary winding wound in the opposite dot notation direction have on the pickup of more complex harmonics and motion
  • why does none of this matter due to the filtering of LCR and the noise floor or other aspects

Like here is the basic range of commercial products:

The typical schematic of operation:

Basic construction:

This is a typically low noise toroidal transformer that has been around for ages:

Now I need you to abstract this concept with me a little bit. Imagine if a small toroidal core was below each string and offset towards the neck or bridge so that they will fit. Nothing would stick out or surround the string. The 270° is not a radius cut like a pie. Instead it is a chord and removed segment:

There are totally random pics from DDG that are somewhat illustrative in abstract:

These are just some random powdered core ferrites that illustrate how these can be formed into any shape now:

I usually avoid anything audiophile related because it draws out pseudo science nonsense like crazy, but at the center of this question is really a desire for a deeper understanding of sensors and magnetics that have much broader applications in precise motion control and sensors for a range of equipment.

In a higher level of abstraction, I’m also really asking when and where does this subject become the realm of the illusive bearded nude virgin demigods that get enslaved to corpo NDA masters from birth. .5/s

6 points
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I’d suggest attempting it. You’ve got enough written down here to make a test plan, you’ll want to use the same strings, same tension etc and just… Listen.

Our senses, though nowhere as refined as other animals, are still able to notice things one may not note on an o-scope display.

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3 points

And perhaps moreso when it comes to a musical instrument, what out senses perceive is more important than what one may note on an o-scope.

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2 points

Sure, all of what you say is correct. I’m more pointing out the interesting textures and other subtle things which may not be immediately obvious on a screen, e.g. if the timescale is too zoomed in… I’ve missed phenomena before for that exact reason on a 'scope.

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2 points

With the risk of sensing things that are not there, though. OP mentioned weird audiophile shit.

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1 point

Yeah, possibly… iunno, one life and all. Have fun with it 😎

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8 points

You could certainly make something different, but it wouldn’t necessarily be better. Electric guitars have a very well established sound. I’d imagine most people want to have that same sound, or at least something very similar. Those who want a different sound use all kinds of stuff on their pedalboard.

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4 points

So I’m more thinking about resolution and dynamic range at this level of abstraction. It is not a question of new sound, but more like texture for various modes like palm muting, clarity, adjustability, or natural/pinch harmonics. Most effects are basically modes of bad audio in amusing ways from clipping to poor recording delays, or what it sounds like to play audio through junk materials like plates or springs. Pursuing perfection is nonsense for sure; pursuing resolution and nuances might yield new and unique sounds.

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4 points

That’s pretty much what pedals are for…I feel like you’re coming up with a solution to a problem that doesn’t exist

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5 points
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You should look up Fishman Fluence pickups, they’ve been all the rage in metal circles for a few years and they are in fact made by stacking PCB-like layers rather than in the traditional way.

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10 points

a guitar pickup appears to be more of a two dimensional sensor that picks up the motion of a ferromagnetic string in the two primary directions of motion

It’s actually not a 2 dimensional sensor. It’s 1D, the velocity of the string induces a current in the coil (Faraday’s law)

there are more complex harmonic motions present than a pickup can register in two dimensions

Again not sure where 2d is coming from, but the current perfectly corresponds to the velocity of the string, which we already know is identical to the sum of the velocities created by all of the harmonics (Fourier Transformation).

How did you reach the conclusion that some harmonics are missing from the resultant signal?

the coil and slugs of a pickup are surrounded by a single large winding, yet the strings each have very different frequencies

The human ear also has different sensitivity to amplitudes at different frequencies, with higher pitched sounds not needing as much energy to reach the pain threshold. The distance between each string and the pickups is also adjusted during setups, sometimes including tilting the pickups themselves depending on the type of guitar.

Just a few thoughts I had while reading. This style of pickup really is just popular just because the’ve been popular for so long and they’re supremely reliable even with as much abuse as we put guitars through. There are others; you might enjoy reading about the physics of a piezo pickup, and the problems they often create for players haha

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0 points

How did you reach the conclusion that some harmonics are missing from the resultant signal?

I forget if it was Veritasium, Steve Mould or one of the other edutainment content creators that was showing how waves move through a string and form the extra major harmonics along the length. I was half baked thinking of that and how the string is not constrained to a single plane of vibrations.

I am thinking of the motion of the string being more complex, like if I placed a coil under the string and one at 90° to the first beside the string, there should be a subtle difference between the two signals. The motion of the string may be oscillating entirely within the field of each pickup coil, but the motion with respect to the magnetic pole of the pickup will be different. If two fields are pointed at the string from opposing angles, perhaps more of this motion is defined. It might alter the sound for more subtle picking techniques like plucking, slapping, palm muting or others.

Also there is the question of what is the optimal turns ratio and signal for each string. If each string had its own pickup and winding, it is like audio channels on a mixer, it creates versatility and nuance. It’s just an idea.

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2 points

So, you are making half-baked ideas, vaguely recalling a YouTube video, and decided to reinvent guitar pickups based on string motion in multiple dimensions? Ok. The reality is that modern pickups already capture harmonics quite well—that’s why guitarists can play harmonics by lightly touching the string and why we can hear the rich overtones in complex chords. Your idea of capturing “more” harmonic detail by adding a second coil at 90 degrees might sound clever in theory, but let’s be real: any actual benefit would likely be drowned out by filtering, noise, and diminishing returns in the real world.

The suggestion of giving each string its own winding and turns ratio is … fine, I guess, but this isn’t mixing a multitrack recording; it’s a guitar pickup designed to balance simplicity, functionality, and tone. Innovation also means accepting when a system is already pretty optimized for its purpose, not adding complexity for the sake of chasing minor nuances that might only appeal to a tiny fraction of people who know what “half-baked” string theory even means.

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2 points

Nice attitude for a back of napkin lunch idea. This is my idea of trash thought random casual conversation. I’m not presenting you with some investment proposal. I’m in the middle of a far more difficult and complicated project. This was just my peripheral subconscious making a distraction to procrastinate while sipping a morning coffee.

I never claim to be an expert at much of anything. All I claim is a life long curiosity. Feel free to block me it that offends you. I’m physically disabled and this place is one of my only forms of outside human contact.

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4 points

there should be a subtle difference between the two signals

Not really. It sounds generally like you’re overvaluing the role of a plane relative to the magnetic poles. The string moves somewhat circularly, like a jump rope. It doesn’t matter how you angularly orient the pickups, all else being equal.

As for per-string pickips, hey, I’m all for it. Give me 6 output jacks as well so that each string can get its own effects chain.

Have you ever considered getting into synthesizers? Based on your thoughts I feel like you’d really enjoy making synth patches

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2 points

I think OP is interested in the role of oscillation planes because with an acoustic guitar, exciting a string parallel (lateral) to the guitar vs perpendicular to the guitar has a perceptible difference in tone.

OP believes that this difference isn’t captured by common electric guitar pickups.

From what I’ve read in this thread common pickups measure the speed of the string, basically considering both planes of vibration the same. But an acoustic guitar responds more to the perpendicular oscillations than the lateral oscillations. (Because the perpendicular plane oscillations tends to work the bridge/soundboard, and push air towards and away from the sound hole).

Although I agree that ultimately the string’s oscillation is pretty much circular/cylindrical/bi-conical, but I suspect there is a significant transient effect that could be explored/exploited with redesigned pickups.

I’m also curious if it would be possible to use a string with a [section of] non-circular cross section to allow the [creation and] detection of torsional vibrations.

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10 points

You are generally correct that pickups are relatively primitive devices. However, a guitar is not a device which is intended to perfectly capture the high order dynamics of a plucked string. It is a device which is intended to produce a musical abstraction of that process.

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