1. He goes to a concert every other week.

2. He goes to a concert biweekly.

3. He goes to a musical every other month.
4. He goes to a musical bimonthly.

5. She goes to a shop every other day.
6. She goes to a shop bidaily.

7. They have a meeting every other year.
8. They have a meeting biannually.
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Can we use all the expressions? #6 seems to be strange. Don't we have a one-word adverb for 'every other day'?

1, 2, 3, 4, 5, 7, and 8 are all correct.

6 is incorrect.