COMMON INTERESTS: Raymond Weil is extending an arm into the music biz. The luxury Swiss watchmaker is teaming up with Artists Den Entertainment — the musical platform best known for its Emmy-nominated televised concert series on PBS, “Live From the Artists Den,” which features concerts in nontraditional settings — by launching a multichannel media campaign. Weil has signed on as a partner for the upcoming seventh season of the PBS series, to air nationwide in 2014, and will have a broadcast presence in television spots before and after every episode. The partnership will kick off at a secret location during New York Fashion Week with a performance by Sheryl Crow. Past artists who have performed for the “Artists Den” series include Adele, Mumford & Sons, Ringo Starr and Elvis Costello, in unusual venues like Graceland, a Masonic temple, a Thirties silent movie theater and more.