One studio in this area teaches a dance they called Nightclub, it was losely based on rumba/bolero. Another teacher showed what they called slow dancing at a dance and it was completely different than Nightclub. I would call the studio for clarification, I don't think slow dancing is a specific dance, but a category of dancing.

..."but I can't imagine you just stand there and hold your partner and slowly sway back and forth to tunes like that, or just sit them out."......

There are some songs that are too slow for all the ballroom dances. Sitting them out is often an option. There is also a slow social dance that has a few simple steps that you can use for these. "Standing there holding your partner and slowly swaying", doesn't sound like much, but when you find that special partner, all a sudden you realize you have underestimated this dance.

Thanks for the feedback so far. I have not heard of Rhythm Fox Trot, though maybe I have done a variation of it without knowing. Would that just be a slower box step of S Q-Q S, or adding slow continuity steps?
I have seen other couples do some sort of promenade, or side-to-side step, to slower tunes, but haven't quite figured out how they count it or keep time.
And I would agree that being close to your partner for a slow tune is quite nice, but I was thinking maybe if it could have an elegant or classy look to it, that would be preferable. More so than anything else, I think, it has to do with wanting to be able to do something that looks nice to songs I really like.

The term was developed in the American chain schools-- its still used in their Ads . Its taught to music that fits the F/T mode-- very, very slow.
A/Murray studios invented a dance called the " Foxy " to fit the music .

The Rhythm Foxtrot (American Bronze Foxtrot) is one of the American versions of foxtrot, usually one of the first dances you learn in a chain studio. It works for foxtrot music, and it works better if the music is slightly faster than for Slow Foxtrot (or American Silver Foxtrot). This website has some examples of the steps.
https://www.ballroomdancers.com/Dances/dance_overview.asp?Dance=AFX

Although it is possible to do bronze foxtrot to very slow songs (because it has very small rise and fall), in my opinion, this does not work well for very slow songs. I started in a studio for a short while, and when they would play a very slow song for this dance, I used to complain that it looked like a funeral procession. For any song slower than bolero speed, there just doesn't seem to be any standard ballroom dance that will work well. That is the reason you have the Slow Dance, and the Foxy.

Someone else mentioned Nightclub and I think they were referring to Nightclub Two Step, which is a country dance. I also like country dancing, but I don't like the timing they use for this dance. It is done to very slow music but the steps are done 1 2 & 3 4 & (although it originally started as 1 & 2 3 & 4). I don't like the looks of either of these because it looks as if the dancers are not dancing to the music. Most very slow country music does not have any syncopations and the steps just don't match the music. You will sometimes see ballroom dancers doing Nightclub Two Step but doing it SQQ.

"The term was developed in the American chain schools-- its still used in their Ads . Its taught to music that fits the F/T mode-- very, very slow."

Interesting. I was at a venue Friday night where they played music from the 70s through 90s. Some of the songs were (to me) too slow to even dance FT, so my partner and I danced what we call The Penguin - sway from one foot to the other in close hold.

"Slow Nightclub" around here refers to a dance that is basically a (man's) whisk to the left and then a (man's) whisk to the right. You can do a lady's turn on the man's left whisk, etc. I believe the Nightclub 2-step is another name for that dance. It is not the same as the (Texas) 2-Step here.

dheun. Everywhere seem to have their own names. What we call rhythm dancing is actually a slow Quickstep... steps. Some call it a Social Foxtrot. The hold is not severe. The left hand can be down by your side still holding. It is done flat with very relaxed knees. The steps are. Starting on the mans LF. Forward, Forward Side together. Back Back Side together. Repeat. In other words simply a Quarter Turn and what would normaly be a Progressive Chasse all done flat and small and the flexing of the knees as the music tells you. Turns can be made as well as a Promenade Step and a few other moves. Hope this helps.

You are confusing " rhythm " dancing with " slow " dancing--2 different animals.Rhythm or " crush " as we used to call it, is a required part of an Assoc exam ( demo only )
the speed of slow dance is usually around 20 bars per min.-- its slooooow .
The kind of thing you see people do when they appear to be standing still-- THATS slow dance.

Like i said-- the A/ murray chain constructed a set of movements that could be danced to that painfully slow tempo -- its called " Foxy "

My instructor teaches a specific dance called "slow dance' similar to that Serendipidy's description, only the lead rocks back on his left foot, rocks forward on his right, then a clockwise quarter turn starting with the LF, then rocking back on the right foot. Yes, you can promenade and a few other simple steps. She presents it as a nice alternative to simply rocking or swaying to very slow music.

As usual, this message board provides great feedback, ideas and real useful information. I am anxious to try some of these ideas, and get a better handle on the "Foxy." I am going to question my instructor about this, as he's been teaching for 40 years. He's just never showed my wife and I anything that can be utilized when the temp gets painfully slow, as terence2 so accurately describes it. Most dancers probably understand what I mean when saying it would be nice to be able to do steps that look sharp in a slow dance, especially to a song you are very fond of.
Happy New Year to all of the participants on this board whom I've come to admire in a very short time. Thanks again.