The best puzzle

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Across
  1. 4. Type of early jazz music, from new Orleans, danceable
  2. 5. the king of ragtime
  3. 7. the most famous trumpet player ever
  4. 9. composer, let other players show off
Down
  1. 1. the best in the nation
  2. 2. best reds rookie season oat
  3. 3. making things up on the spot
  4. 6. D1 Ohio State wr commit
  5. 8. a band that's big and typically has more than 10 people