IMAGINE a time before alternative country. Before Americana and roots rock. Picture a corner office, sometime in the early ’80s, with record executives scratching their heads over how to market a talented singer, songwriter and guitarist from Louisiana named Lucinda Williams. Was she country? Folk? Blues? The answer of course was (and is) all of the above. A three-time Grammy winner, Ms. Williams will release “West,” her eighth studio album, on Feb. 13. A tour is scheduled to begin soon after, including a stop at Radio City Music Hall on March 23. Ms. Williams, 54, shows no signs of getting any less sexy with her lyrics or her taste in music. She recently spoke by phone with Winter Miller about what she’s listening to now.