From my european perspective I found some differences concerning the meaning of the word waltz. So I look forward to your replies.
when someone says "waltz" with no other qualifier, my assumption is that I am doing a slow waltz...as in American or International (have never had anyone use the term English or Boston)....having said that, I am aware of the many other types of waltzing that exist
am sure it is fine as it is...just giving my answer ...I am just one person, with one limited perspective
If someone says "waltz" without a qualifier, I'd assume a slow waltz. Recognizing that it could be a Viennese Waltz. I'm not familiar with the other variations.
It depends on what world I'm in. If I'm with Tango people, I know they're talking about Vals. If I'm with ballroom people, it's American or International.
If it's dance, I'd assume slow/smooth or Viennese. If a general conversation about music, I'd assume the answer about time signatures.
Today, with no other qualifier, I would think slow waltz. Before I started dancing and knew the difference, "waltz" was a mixture of slow waltz and Viennese Waltz. Though I agree with DOI - from a music perspective, I'd go with the time signature answer.
In Vietnam, we play Quick & Slow Waltz. Slow Waltz have two styles: French Valse Boston (Cross-step waltz) and English Waltz. Boston was popular several years ago, when dancesport not well-known, and often used for beginner or female who doesn't like closed frame. Like others, music is the most important, but if I have to choose, English Waltz is my favour.