Abstract: It is a fact that the ancient peoples of the Americas had, for many centuries, robust mathematical and musical cultures. Although much of these cultures was not clearly recorded in writing by the first European settlers, this does not mean that their existence is insignificant, and much less, that they have been lost forever. Due to the importance of publishing studies on music and mathematics from a Latin American perspective, the following text, initiatory on the subject, proposes three key questions to promote a discussion from anthropological and historical foundations for the indigenous relationships of music and mathematics, and with the intention of motivating more questions, or formulating them in a better way, in further research.

Keywords: Mathematical Musicology. Latin America. Mesoamerican Mathematics and Music.

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Abstract: This text is an overview for Latin America across the field of music and musicology intersecting mathematics, including the advances from perspectives of experimentation, creation, analysis and pedagogy throughout interdisciplinary developments, particularly in the field of computational science and philosophy of science. Our main goal is to spread worldwide the richness and variety of research on music and mathematics in Latin America as well as stimulate further investigation in this fascinating intersection.

Keywords: Music and Mathematics. Latin-American Research. Survey.

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Abstract: In the year of 2022 the MusMat Research Group completes 10 years of existence. During this time the group developed several paramount activities to stimulate, promote and propagate the teaching and investigation of music and mathematics, especially in Brazil. This document is a landmark in our history, presenting a comprehensive overview of our previous achievements and pointing out future goals.

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