Even though the novel itself does does not mention any music, musical performances, or songs, we can still interpret that there was a lot of music in the places that Jim and Huck visited. 

When the King and the Duke perform in multiple cities, a lot of people show up and watch their show. At those times, it was a common type of enterntainment when a music band would come into town and play live. A lot of people would come, watch the live perfromance, and often dance to the rhythm. 

The novel itself has inspired multiple songs and musicals that are popular today. 

"Big River: The Adventures of Huckleberry Finn" is a famous 1985 Brodway production. The musical tells the story of Huck and Jim and their adventures on the Mississippi River. The musical has won and has been nominated for multiple Tony Award's 

The novel has also influenced multiple songs that are still quite popular in today's society. Such songs include Moon River by Audrey Hepburn and Tom Sawyer by Rush. These tunes include characters, nature descriptions, and locations from the novel. 

Even though the book was written hundreds of years ago, it still influences today's music.