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Check out Stravinsky's pieces of his neo-classical period, like Dumbarton Oaks or the Concerto in Re. Lots of these are generally major while having the often changing time signatures that are typical for Stravinsky.
But yeah, as Corbin said, I think the main reason that so many rhythmically complex pieces are "dissonant" is that in central Europe complex, changing time-signatures are something that only appeard in the late 19th and 20th centuries, at the same time as classical tonality slowly dissolved. You might find Bartòk pieces for example that sound a bit "major-ish" and have "odd" time-signatures, but well, it's Bartòk, so of course you have to expect quite some dissonance. The same applies to Stravinsky. And those are two composers who aren't as far from classical tonality as many, many others, who certainly also used "odd time-signatures".
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