I find this calculator very useful for timing belts as you can play with different pitches, etc. and it "knows" what the prefered tooth counts are.:
https://www.bbman.com/belt-length-calculator/
I'd go for a poly-vee or similar belt for that application though.
I struggled recently to find poly vee belts to suit short centre distances and found Megadyne 'TB2' section belts are available in much shorter lengths: LINK
The design process is all in the technical manual: (PDF)
For example: with an 83.6mm driving pulley, a 20mm driven pulley & a 345mm pitch length belt, you would retain the 85mm centre distance.
The pulleys are fairly straightforward to machine (the profile details are in the PDF above) – you choose the number of ribs depending on the power to be transmitted.
Seem to work OK.
Edited By Andy_G on 02/04/2023 19:22:49