Escapement Wheel design

[Feli]

Hi!

First of, Im not an expert

I've exploring making my own movement, been making a script that follows George Daniel's Watchmaking, particularly the "Semi Equidistant Club-Toothed escapement" (which I think is a good option?), and it works great for 15 teeth escapements, but, for a movement Im working on, I need 24 teeth, Im mostly having trouble calculating the Locking face angle and the position of the left jewel.

People who know how to design these guys seems to be ultra hard to find... anyone knows some resources I can follow? (books, papers, NIHS rules, etc)

or if someone has an hour or so, I'd be happy to pay for your time.

 

example

 

Thank you so much!

 

Felipe Zuleta
https://fezuone.co

[Feli]

Hi, just a bit of an update

Kept working at this escapement+pallet drawing tool, reading more books, and experimenting a bit more, and reached some deeper understanding, Im actively working on this script for fusion360 (adaptable to any software) that can modify angles, which when animated allow me to see if the wheel will work or needs modification (takes less than a minute). Basically I couldn't find a function for all scenarios, but rather manual tweaks that paired with fast animation, allow me to find an escapement wheel.

e.g on the NIHS rules vph of 18000, 21600 28800 are suitable, but 25200 is not (I dont know why), so based on the train of wheel ratios I decided on, a 18 tooth wheel is ok for 21600 vph, and 24 tooth for 28800, but 24 tooth is considered super high, so Im gonna give it a go at 18 on the initial prototypes.