This clock was inspired by the gearless clock built by the eminent mathematician, radar engineer and horologist Philip Woodward (Wikipedia) . It has some features in common with his clock: a count wheel turning once a minute, a wheel wth 60 pins turning once an hour and a catch or gated detent. Also, like most of my clocks, it has a daisy wheel to move the hour hand. Unlike the original it has a compound pendulum, with a period of 5 seconds, and a rather different mechanism.
Once a minute, a count wheel on the pendulum sweeps across an inclined plane fixed to the release lever, forcing the release lever down so that it engages with the pin wheel.