Watchmaking Gear Calculator

Watchmaking Gear Calculator MCP Connector for Claude

A+

Deterministic engine for horological gear train ratios, beat rates, and power reserves.

3 tools Official Updated Oct 1, 2026 Official Vinkius Partner

This MCP server provides precise mechanical calculations for horological movements. It allows AI agents to determine exact gear ratios per stage, total train ratios, and beat rates (vibrations per hour) for Swiss lever escapements. Users can also estimate power reserves based on barrel turns and validate escapement stability using balance wheel inertia. Use calculate_gear_train to find the timing of a movement, estimate_power_reserve to calculate operational duration, and validate_escapement_physics to ensure the configuration is theoretically sound.

horologygear-trainwatchmakingmechanical-engineeringphysics

3 tools expose this connector's capabilities to your AI agent.

calculate_gear_train

estimate_power_reserve

validate_escapement_physics

See how to talk to your AI agent using Watchmaking Gear Calculator.

Calculate the beat rate for a movement with a 60-tooth barrel, 60-tooth center wheel, 6-tooth center pinion, 60-tooth third wheel, 6-tooth third pinion, 60-tooth fourth wheel, 6-tooth fourth pinion, 15-tooth escape wheel, and 6-tooth escape pinion.

The total train ratio is 100, and the beat rate is 3,000 vph.

Estimate the power reserve for a movement with a total train ratio of 400 and 30 barrel turns.

The estimated power reserve is 7.5 hours.

Is an escapement with 15 escape wheel teeth and a balance wheel inertia of 0.05 stable?

Yes, the escapement configuration is stable with a theoretical frequency of 4Hz.

The beat rate is the product of the total train ratio and the number of escape wheel teeth, multiplied by two for the Swiss lever escapement mechanics.

Related Connectors