Yes, there is one. But it's kinda hard to describe tone with words...

Jazzmasters have an 'airy' sort of tone. That's the best I can think of when trying to compare them with a strat. A strat would be more solid, and more bold. A jazzmaster would be subtle and airy. It has more of a 'jangly' tone.

Look on YouTube
And Jazzmasters look much better.
Real eyes realise real lies.
Smoother midrange in the jazzmaster, softer, warmer tone, but it still snaps!
Jazzmasters sound like.... Jazzmasters!