I muck around with music a bit (I tend to sing for better keyboard players, although I did bash out tunes from
Andrew Lloyd Webber for Dummies at the last singing party we had), and I also dance. I thought it'd be fun to try to get these two things together in my head, by working out how the music for ballroom dancing works. After a bit of Googling for pages written by people who know more than I do, here it is. Seeing as there are better musicians and better dancers than me reading this, they can correct me if I get it wrong.

Foxtrot
Foxtrot is in 4/4 time, between 112 and 120 beats per minute (according to these people). It's typically danced to Big Band music. The music emphasises beats 1 and 3. I think I can see that in A Nightingale Sang in Berkeley Square, where the accompaniment either hits more notes on the treble clef, or uses the bass line to keep that emphasis. In Bobby Darin's version, the brass is hitting those beats in the intro.
The steps are typically 1 beat or 2 beats long, and we call them "quick" and "slow", respectively (if I'm writing it down, I'll abbreviate to Q and S). The basic rhythm of the dance is slow-quick-quick, which means the first two steps hit the emphasised beats. Some figures in the dance vary the rhythm, but the "slow" step, if there is one, starts either on beat 1 or beat 3. Here are the Hiltons giving us something to aspire to, with music and the slows and quicks, starting about 1:25.
( Waltz, Quickstep, Tango, over )