A gentleman with his eyes closed playing an old fluglehorn into a microphone.
The man is playing an old favorite tune on the flugelhorn.
the tune may of any genre, may not be old favorite one
Playing with eyes closed does not imply playing an old favorite tune.
Sentence 1 doesn't describe what the man is playing on the flugelhorn. It could be an old favorite tune or any other piece of music that can played using a flugelhorn.