The tachometer gets it's signal from the ignition module under the tank .
I believe there is a black wire from the module to the ignition coil, should have two black wires on one of the terminals, one goes to the ignition coil, check for security, corrosion, etc....... .
I had hard cold weather starting with my '81 R65, had a bad coil, the primary circuit had less than .5 ohms, should be around 1.5 ohms .
Replaced it with a DYNA ' brown ' coil .
If you still have the OEM black and gray coil, replace it !!!!!
It's a known problematic part .