What would a master masons company be called? A Master Mason's company, in the context of Freemasonry, is not a formal organizational term. Instead, it refers to a group of Master Masons who associate together, often for social or charitable purposes, or to further their Masonic knowledge. These gatherings might be informal, or they could be organized under the umbrella of a specific Masonic body or appendant organization. For instance, Master Masons are eligible to join bodies like the Scottish Rite or the York Rite, which offer further degrees and opportunities for fellowship. As Albert Pike states in Morals and Dogma, Freemasonry aims to "make good men better," and these associations facilitate that ongoing journey.