Great call letters too. WMJQ once belonged to the FM sister of News-Talk WBEN-AM Buffalo (originally owned by the Buffalo Evening News). The FM has a monster signal, with 110kW on 102.5. WMJQ replaced the WBEN-FM call letters, which are now assigned to BEN in Philly.
WMJQ was locally owned by Algonquin, which sold WBEN-WMJQ to Keymarket, which merged with River City and was later purchased by Sinclair Radio, which sold to Entercom. (Got that? There may be a quiz.) Entercom gave up the WMJQ call letters and switched to WTSS, which allegedly stand for "Star" 102 point 5, which does Hot AC.
Prior to their years in Buffalo, WMJQ was held by an FM in Rochester that did AOR and CHR as "Magic" and later switched to Country. It's now the market leading WBEE, owned by Entercom.
Irony of ironies, News-Talk WBEN-AM recently began simulcasting on 107.7 (which used to be The Lake, WLKK.) They could really use the WBEN-FM call letters, but that ship has sailed.