There are something like twelve common names in english, it was introduced to me as “oregano brujo” (wizard’s oregano). It’s most strongly oregano in its aerosol phenols but when I’ve used it in meals (usually in a slow cooker) it’s got notes of the thymol that come through.
Fun fact: in the northeast US and eastern Canada, you can support their entire life cycle by planting tomatoes and Monarda spp together!