I disagree with both of the previous answers. I’m a drummer, and I didnt want to become a musician. so i went with materials engineering in the hope that someday i might be able to design custom cymbals

But there are a few options you could consider. My school USED to have an audio engineering program. I wouldve done it too if they werent cancelling it. but look into that.

Mechanical is just good all around. Im sure you can put it to use in designing guitars.

Electrical would be good if you’re designing pickups or amps etc. Having engineering background is important if you’re going to be doing any sort of designing. In reality, however, to be a guitar maker, i think you just have to be a guitar maker lol. good luck

Guitars can’t be calculated, it is all trial and error. Even if the sound could be calculated what is “good sounding”? Sometimes it works sometimes it doesn’t.

Electrical engineering might help with amps, but amps are mostly trial and error too.

I am not aware of any engineering field specifically concerned with making guitars. You may be thinking of a “luthier”, which is a guy who makes guitar-style instruments. Bear in mind that basic guitar design has not, and in all likelihood will not and CANNOT, change much in the last several hundred years. The principles governing how a guitar works have been well-established for a very long time… there isn’t really a need for “engineering” per se.