Sagitta said:
Then sometimes when musis is really fast I slow the dancing down by doing a step to every two beats where I normally would do 1 (does anyone know the dance term for this?).
It's called dancing "half-time". If you were dancing two (or more) steps in the space of one, you'd be "syncopating"
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Now on to the subject of off-beat dance partners...
I've led and followed, taught and been taught.. so here it goes:
In a leader's position: you gently encourage the follow to stay on the beat by tightening up connection/frame and giving a more "distinct" idea of where the beat is. This only works if the follow has some idea of musicality and can stay on time once they "get there".
As a follower: FOLLOW

Don't think about it, just do what "simon says". It's less stressful that way.
I do know of at least one person (a follow) who is so hopelessly musicality impaired that she can't even clap to a distinct beat. She is all over the place and is hopeless. I've seen this problem more in leaders than followers, though.
As to the ettiquette involved, smile :lol: smile :lol: smile :lol: and bite one's tongue (unless of course you have a really good relationship with the person with whom you are dancing). :wink:
If you can't possibly avoid dancing with said person in the future, plead a turned ankle and limp to your seat and stay there all night long. It has worked for me in the past. Of course, I get as much pleasure out of watching as I do dancing, so it doesn't bother me to sacrifice a night for the sake of being polite, tee hee hee.