Credit for inspiration from MrFake, in An Advanced Repeater.
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^ and ^ are both 1-7 water plates linked to the gears of the same color. This time I've planned the necessary access doors and stairwells ahead of time instead of adding them haphazardly. Build order: upper pump, lower pump, gears, pressure plates.
The green pressure plate produces an OPEN signal exactly once every 200 steps (once 2 water have been put into the system). Tested and confirmed. Hopefully the base component in a dwarven clock that doesn't drift over time.
Using the same principles one can construct a repeater which produces a signal on any multiple of 200. The following is a tested design for a 400 step repeater:
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A compact version, sharing some power transmission gears:
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600 step repeater:
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One way to initialize it is by putting 1 water on the red, blue, and cyan plates, then a 2nd water on the red and cyan plates, and finally a 2nd water on the blue plate.
Now I just need to figure out how to halve the frequency of a repeater without doubling the number of components, and I'll be able to build a perfectly precise dwarven clock.
Experiment in progress:
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The first two rows together form a 600 step repeater. The signal from the second row is fed into the third row, which, in theory, should act as a period doubler, making a 1200 step (daily?) repeater. If this system works, it may be possible to make a monthly repeater with about twice as many components as this. Without a period doubler, a monthly repeater of this type would require 28 times as many components as a daily repeater.