Can’t see your build but have seen this in various forms. Check to be sure that you have a grid leak resistor for the return path /bias of all tube grids. It seems grid related, possible an old coupling cap could be leaking a bit of DC? Anyway, a couple things to check
Grid leak is a single 220k to both 6V6s and on the 12ay7 there is a 1m on the jack and if Im correct the 1m volume pot is the grid leak for the 2nd triode.
Coupling caps are all brand new. (I built the original incarnation of the amp about 2 weeks ago)
All that being said, I noticed that when I turn the volume pot the sound does in fact change frequency if I turn it up or down. To me that tells me the issue is after the volume pot. So from the 2nd triode on.
Another odd thing is that it only happens if you pluck the string in a specific way. So its frequency/harmonic dependant. I know its not the guitar/cable checked all that with another amp.
This amp is bascially the "Gibsonette" Ga-8 after studying the schematic there is a suspicious 470k grid stopper going to the 2nd 6v6. Im going to clip one of those in and see if that fixes the problem. The Angela super single ended also has those grid stoppers. I may be off the right track on this but its worth a shot.
Found another forum where another guy had the same issue and he added smaller grid stopper and it helped. Also said that changing the 220k grid leak helped. How does changing the value of that resistor effect the operation? The gibsonette has a 220k though