Image from Discogs
There are 4 acts currently using the name Cusp
1) Cusp is one of 3 aliases from Mark Gage - his best known probably being Vapourspace.
http://www.discogs.com/artist/Cusp
2) Cusp are a London based band comprising Lee Jasper, Matt Rogerson, Matthew Osborne and Tom Mann. They are currently unsigned and seeking financing through the website www.slicethepie.com Musically they are similar to bands like Gene, My Life Story and Suede
3) Cusp are an alternative rock band from Mumbai, India who were actively playing music between 1996-2000.
A compilation of their songs can be downloaded here:
http://cusp.bandcamp.com/
Saumitra Mathur - Vocals / Guitar
Nilesh Zacharias - Vocals / Bass
Anit Gvalani - Drums
4) Cusp are an indie rock band from Rochester, NY with an EP out on Dadstache Records.
https://cusptunes.bandcamp.com/
5) Cusp are an indie band from Chicago who have released their debut album You Can Do It All in May 2023
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Artist biography from last.fm