I have this buzzing noise on my new Lanikai - it's not the string hitting any frets, and sounds as if it's coming from the tuning peg.
Hello Byjimini
I tried your sound file but I couldn't tell the cause. Does the pitch of the buzz change, or is it more or less the same frequency? As you move your mic, it gets louder and I agree that it's from the headstock area........ So I can offer some possibilities:
(1) Loose nuts or bushing/gromets on your tuning peg. You can try to tape them down (use masking tape) and see if the buzz goes away. If it's a nut, just tighten. It a bushing, push it in.
(2) Loose nut? YOu can ask someone to hold the nut down as you pluck. (1) and (2) are easy to find and fix
(3) The string between the nut and the tuning peg is vibrating sympathetically. Again, you can ask someone to hold that part of the string as you pluck. Or, you can wrap a tape around the headstock (hold the strings). Or, you can slip a rubber/foam pad between the strings and the headstock near the nut.
(4) Does the buzz occur when you fret a particular string at a particular fret? I have had a strange buzz on my guitar: The 6th string buzzed when fretted at 3rd while I play a B note on 1st string (7th fret). The B note sympathetically vibrated the 6th string between the nut and the 3rd fret (the "unused" side of a string). Weird but I could stop it if I put a capo on to mute that part of the string. It was a combination of frequency and my neck (possibly too flat). Not much I could do about it.
(5) Does your ukulele have a truss rod inside the neck? It can be loose (or broken). A major repair.
Well, these are my initial guesses. It would be much easier to actually see the ukulele - you can take it to a very competent and patient luthier.
Sorry, can't be of much help
Happy Pickin
Chief