Ballroom

Foxtrot:
Harry Fox in 1913 introduced the Foxtrot as an extremely popular dance of its time. One of the first dances to introduce the slow rhythm. American style is not limited in its closed positioning, therefore is more creative and choreographic than its International counterpart. The basic rhythm is SQQ, with an extra slow added infront or behind the Quicks.
Waltz:
It was a country folk dance in the 1700′s. Then an early 1800′s dance, and was looked down upon for the close male-female holding position. American style again breaks from closed position and has basic rhythm of 123.
Tango:
African, Indian and Latin influences. Began as an indiscreet seductive dance of the Argentinian flatlands, but soon evolved to a more classy stylized form found today. It can be very stylized in footwork and body action or simple depending on tastes.
Viennese Waltz:
A double time waltz. Dancers circle the floor in mini-circle like movements that sweep briskly and elegantly. Definitely for the advanced dancer who is well trained in balance and footwork coordination.
Quick Step:
Sometimes referred to as a fast Foxtrot, with totally different footwork and steps. Again for an advanced partner dancer who wants to work lead/follow strongly, timing and technique.