How about...a HUMAN CULTURE

Within the field of nursing, the term "transcultural" has been used for about two decades, first introduced by Madeleine Leininger. Her website: http://www.madeleine-leininger.com/en/index.shtml. If you can attend a training session or conference on the topic, you'll never regret the investment.

Outside of nursing (for example, in linguistics or anthropology), more common terms are "cross-cultural" or "intercultural."