The Nigerian-born composer Akin Euba (1935–2020) saw it as his life’s mission to create an ‘African art music’: ‘a form of music [that is] universal to all Africa’. As the chapter will outline, his career took him from Lagos to Bayreuth (Germany) and, eventually, Pittsburgh (USA), in the course of which he came up with the notions of ‘African pianism’, ‘creative ethnomusicology’ and, finally, ‘intercultural composition’, of which he was an acknowledged pioneer. Rather than seeing intercultural composition as a contradiction of African art music, I argue that Euba’s music embodies the concept of cosmopolitanism as a series of concentric circles as proposed by the Stoics, whereby the local (Yoruba) is contained in a wider (pan-African) sphere, which is in turn encapsulated in the universal. Compositionally, this vision is realised through the combination of elements from Yoruba music, such as timelines, other African influences from the likes of xylophone and mbira music and Western modernism, exemplified by serialism. As my analyses show, these elements are integrated to such an extent as to become inextricable.