I had that exact problem for a while with my Godin. I was recommended a Sabine tuner, and it worked (and still works) fantastically for me. It's been about 4 years now that I've had it, and it's never off or twitchy. I hope to have it for another twenty years at least.
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Music Gear Review - Keyboard/MIDI and Songwriting Editor/Mod
"I don't like it, and I'm sorry I ever had anything to do with it." - Erwin Schrodinger, on Quantum Physics
Keys: Nord Stage 88, Nord Lead 2, Yamaha W7
Upton Bass Custom Upright, BSX Allegro EUB, '80s Peavey T-40, MIM Active Jazz Bass, Godin BG-5, Fender Bassman 100, `68 Fender Bassman 50 head, Gallien-Krueger Fusion 550, SWR (pre-Fender) Goliath III 4x10, Markbass 2x10 Traveler