No, you do not require a permit for live music. The City has a Noise Ordinance in effect after 10 p.m. (BHMunicipal Code- 5-1-201).
*There is no permit which supersedes the Noise Ordinance. *
Best practice is to inform your neighbors ahead of time and be courteous. BHPD does have a “Loud and Unruly Gathering (LUGO) Ordinance”, which carries hefty fines.
Website - Loud & unruly gatherings ordinance (LUGO)Municipal Code - LUGO OrdinanceMunicipal Code - Noise Regulations