The paper presents early work on LetSynchronise, an open-source framework that aims to facilitate research and collaboration on Logical Execution Time (LET) systems. It offers a web application for modelling, simulating, analysing, and optimising LET systems, which can be extended via user-defined plugins for the rapid prototyping of scheduling policies, timing analysers, and optimisation algorithms. Its capabilities are demonstrated through use cases and a small research case study.