the wiki article on syllable-timed languages says the following
Syllable-timed languages tend to give syllables approximately equal prominence and generally lack reduced vowels.
Are there any syllable-timed language(s) that has reduced vowels?.
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Almost by definition, there cannot be. If every syllable in a syllable-timed language has the same duration, then a change from vowel A to vowel B would not be reduction (which applies to "weak" vowels), it would be something else, such as "dissimilation" (an example is Woleaian). Lehiste (1977) ("Isochrony reconsidered") has a different, more gradient view of "syllable-timed", where there are detectable tendencies across languages for timing to aim for consistency in moras, syllables of stress-feet, but there is how a sharp trichotomy between three kinds of languages. Accordingly (and at the same time and place), Major in his dissertation on Brazilian Portuguese prosody provides evidence for an elements of syllable-timing in that language. This work by Nobre & Ingemann shows that in Brazilian Portuguese, there is also stress-sensitive vowel reduction. So languages do exist demonstrably with both properties. The main challenge in finding examples is that proving that a language is syllable-timed is very difficult.