Prof. Dr. Octavio Alberto Agustín Aquino received his Ph.D. in Mathematics from the Universidad Nacional Autónoma de Mexico in 2011. He is a lecturer in Universidad de la Cañada, Mexico. Dr. Julien Junod received his Ph.D. in Mathematics from the University of Zürich in 2010. He has worked as a statistician at the Institut Universitaire de Médecine Sociale et Préventive (IUMSP) of the Université de Lausanne since 2002. He participated in the development of counterpoint plug-ins for the Rubato platform and a website about scales used at the IRCAM. Prof. Dr. Guerino Mazzola earned his Ph.D. in Mathematics from Zurich University. He wrote the groundbreaking book The Topos of Music in 2002 — its formal language and models are used by leading researchers in Europe, India, Japan, and North America and have become a foundation of music software design. Prof. Mazzola has an appointment as professor in the School of Music at the College of Liberal Arts,University of Minnesota.

• Counterpoint.- First-Species Model.- Preliminary Background.- Quasipolarities and Interval Dichotomies.- Towers of Counterpoint.- Graphs.- Transformations.- Implementation.- Second-Species Model.- Hypergesture Homology.- Glossary.- Index.

“It is really an example of putting theory into practice. Apart from illustrative examples and problems to solve, the authors’ approach is highly algorithmic. … In addition, the appendices are extremely helpful on mathematical basics, a guide to counterpoint worlds and strict digraphs, and the index is quite useful.” (Jean Paul Van Bendegem, Mathematical Reviews, October, 2018)​

Prof. Dr. Octavio Alberto Agustín Aquino received his Ph.D. in Mathematics from the Universidad Nacional Autónoma de Mexico in 2011. He is a lecturer in Universidad de la Cañada, Mexico. Dr. Julien Junod received his Ph.D. in Mathematics from the University of Zürich in 2010. He has worked as a statistician at the Institut Universitaire de Médecine Sociale et Préventive (IUMSP) of the Université de Lausanne since 2002. He participated in the development of counterpoint plug-ins for the Rubato platform and a website about scales used at the IRCAM. Prof. Dr. Guerino Mazzola earned his Ph.D. in Mathematics from Zurich University. He wrote the groundbreaking book The Topos of Music in 2002 — its formal language and models are used by leading researchers in Europe, India, Japan, and North America and have become a foundation of music software design. Prof. Mazzola has an appointment as professor in the School of Music at the College of Liberal Arts,University of Minnesota.

• Counterpoint.- First-Species Model.- Preliminary Background.- Quasipolarities and Interval Dichotomies.- Towers of Counterpoint.- Graphs.- Transformations.- Implementation.- Second-Species Model.- Hypergesture Homology.- Glossary.- Index.

“It is really an example of putting theory into practice. Apart from illustrative examples and problems to solve, the authors’ approach is highly algorithmic. … In addition, the appendices are extremely helpful on mathematical basics, a guide to counterpoint worlds and strict digraphs, and the index is quite useful.” (Jean Paul Van Bendegem, Mathematical Reviews, October, 2018)​

Prof. Dr. Octavio Alberto Agustín Aquino received his Ph.D. in Mathematics from the Universidad Nacional Autónoma de Mexico in 2011. He is a lecturer in Universidad de la Cañada, Mexico. Dr. Julien Junod received his Ph.D. in Mathematics from the University of Zürich in 2010. He has worked as a statistician at the Institut Universitaire de Médecine Sociale et Préventive (IUMSP) of the Université de Lausanne since 2002. He participated in the development of counterpoint plug-ins for the Rubato platform and a website about scales used at the IRCAM. Prof. Dr. Guerino Mazzola earned his Ph.D. in Mathematics from Zurich University. He wrote the groundbreaking book The Topos of Music in 2002 — its formal language and models are used by leading researchers in Europe, India, Japan, and North America and have become a foundation of music software design. Prof. Mazzola has an appointment as professor in the School of Music at the College of Liberal Arts,University of Minnesota.

• Counterpoint.- First-Species Model.- Preliminary Background.- Quasipolarities and Interval Dichotomies.- Towers of Counterpoint.- Graphs.- Transformations.- Implementation.- Second-Species Model.- Hypergesture Homology.- Glossary.- Index.

“It is really an example of putting theory into practice. Apart from illustrative examples and problems to solve, the authors’ approach is highly algorithmic. … In addition, the appendices are extremely helpful on mathematical basics, a guide to counterpoint worlds and strict digraphs, and the index is quite useful.” (Jean Paul Van Bendegem, Mathematical Reviews, October, 2018)​