The body of Jason Rae was discovered in a Leeds flat on Saturday.
The 32-year-old musician was a saxophonist with the Haggis Horns.
The band describe themselves on their Myspace page as “an eight-piece live funk extravaganza” who combine funk, soul, hip-hop and afrobeat with jazz virtuosity.
The group had performed with Corinne Bailey Rae, as well as other artists including Amy Winehouse, Mark Ronson and Nightmares On Wax.
They released their debut album, Hot Damn!, last September.
A post mortem examination carried out last night proved inconclusive.
Police said they were currently awaiting the results of toxicology reports.
Officers investigating his death have arrested a 32-year-old man on suspicion of supplying controlled drugs.
He has been released on bail pending further inquiries, West Yorkshire Police have said.
Condolences to Corrine and her husband’s family.