Final answer:
The capital city of Burgenland, one of Austria's nine federal states, is Eisenstadt.
Step-by-step explanation:
The capital city of Burgenland, which is one of the nine federal states of Austria, is Eisenstadt. Despite being one of Austria's best-known cities such as Vienna, Salzburg, and Innsbruck, the capital of Burgenland is less well-known but holds its own charm and significance. Eisenstadt provides a glimpse into the cultural and historical aspects of Austria, similar to how the Habsburgs were patrons of the arts that thrived in the country, influencing the rich Austrian literary, music, drama, and art traditions.