A Basai master is the name given to the master poets among the Klingon people. They are known to be passionate people and their works bring them great respect among their comrades.
In 2373, after Quark wooed Grilka with advice from Worf, Grilka commented that Quark had the heart of a Basai Master. Worf was pleased with his comment, even though it was Quark who had received the credit for Worf's effort. (DS9 episode: "Looking for par'Mach in All the Wrong Places")