I'm looking to travel by train from Lucerne to Montreux in Switzerland.
sbb.ch gives me two main options:
Is the latter significantly more scenic? If not, I will choose the faster route.
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Yes, it is. Lake Neuchâtel is lovely and you can see it and the vineyards from the train. The line from Bern is just regular Swiss countryside, which is nice enough, and with a bit of luck you might be able to see the Berner Alpen at a distance, but I still think that from the two you listed, Neuchâtel is a clear winner.