I like both of those as well. I am listening to some Bach right now. Excellent music. The liking them together reminded me of a Seinfeld episode in which George tried to combine all of his favorite activities together.....
http://www.youtube.com/watch?v=LHchl4AxsE0
Beer and music are good too. Beer and chess- not so good.
chess and sex are good together too
just kidding 
Once a week, on Tuesday evening from 8 to 10, I get to play chess and listen to a concert by the San Francisco Symphony Orchestra recorded live by KDFC.
It's my favorite time each week to play chess.
Mahler's 5th Symphony and chess
Yes, especially the Adagietto--except when you can't stop a heavy attack. LOL
Mahler's 5th Symphony and chess
Yes, especially the Adagietto--except when you can't stop a heavy attack. LOL
listen to Beethoven...and you solved a problem 
i also enjoy classical music as i play chess, i also listen to jazz like Miles Davis and John Coltrane its great chess adds to the magic!
Mendelssohn's Song's without words are a delight also while playing chess!
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My two favorite pleasures are chess and classiccal music--best together!