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- The CMS series covers all topics dealing with essential usage of mathematics for the formal conceptualization, modeling, theory, computation, and technology in music.

- The series comprises symbolic, physical, and psychological reality, including areas such as mathematical music theory, musical acoustics, performance theory, sound engineering, music information retrieval, AI in music, programming, soft- and hardware for musical analysis, composition, performance, and gesture. The CMS series also includes mathematically oriented or computational aspects of music semiotics, philosophy, and psychology.

- All volumes in the CMS series are published according to rigorous peer review, based on the editors' preview and selection and adequate refereeing by independent experts.

- The editors of this series act in strong collaboration with the Society for Mathematics and Computation in Music and other professional societies and institutions.

The free jazz book by Guerino Mazzola and Paul B. Cherlin is the first volume of this series.