finite indeed has the tense
i in both syllables.
The tense vowel is the typical pronunciation for the last syllable of
all two-syllable words ending in
-ate, -ete, -ite, -ote, -ute, even when the first syllable has the primary stress, as in the examples below.
innate, vacate, vibrate, athlete, crinite, phosphite, compote, hirsute, tribute
There are just a few exceptions:
palate, pirate, granite, minute.
Here the last syllable takes the lax
i pronunciation in all cases.
CJ