Among the names you provided, "Wolfgang" refers to Wolfgang Amadeus Mozart, who was a prominent composer of the classical period. "Felix" refers to Felix Mendelssohn, who was primarily a composer of the Romantic period, not the Classical period. "Ludwig" refers to Ludwig van Beethoven, who is often considered a transitional figure between the Classical and Romantic periods, but he is still associated with the Classical period.
Therefore, the answer is Felix, as he is not a composer of the Classical period.