There are numerous bands named Madrigal, including:
1) Madrigal was a Swedish gothic death metal band founded in 1998 in Gothenburg.
2) Madrigal was an American psychedelic and experimental rock band from New York City, active in the late-1960s and early-1970s.
3) Madrigal was a British nine-piece folk band active in the early 70s.
4) Madrigal was a Canadian psychedelic pop band who released the album "Sunshine & Baked Beans" in 1970.
5) Madrigal was a Turkish alternative rock band.