There are certainly a number of methods used to support the pendulum. The most popular
and time tested is the standard suspension spring. There are a number of iterations
of this and many well known precision regulator clocks used the suspension spring
in various forms. One of the most famous of the precision clocks ever made used a
suspension spring that was ground from a single piece of stock (the Synchronome Shortt)
and the best-
In designing the suspension, I mounted the pendulum in a suspension gimbal. By doing this, the pendulums will always be vertical even if the case is not exactly so. It helps solve a lot of problems in the setup.
The top of the pendulum in it gimbal type knife edge holder. The knife edge suspension permits the pendulum to rock right to left but the pendulum is free to set itself up vertically because it has front to back freedom. This is the pendulum test bed.
A close up of the knife edge suspension in the test bed.
(RIGHT) Both of the pendulums set up in the test bed to see if they would have enough coupling to run out of phase (they did).
A photograph from underneath of the “rolling wire “ suspension I experimented with. I might try to use it in Q4 if it ever comes to pass.