G. Albini and S. Antonini, Hamiltonian Cycles in the Topological Dual of the Tonnetz, Communications in Computer and Information Science, vol.38, 2009.

G. Albini and M. P. Bernardi, Hamiltonian Graphs as Harmonic Tools, Lecture Notes in Computer Science, vol.10527, 2017.

E. Amiot, The Torii of phases, Proceedings of SMCM, 2013.

E. Amiot, Music Through Fourier Space. Discrete Fourier Transform in Music Theory, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01411281

, Special issue: Computational Music Analysis, vol.5, 2010.

M. Andreatta, C. Amado, T. Noll, and E. , Amiot Towards Pedagogability of Mathematical Music Theory: Algebraic Models and Tiling Problems in computer-aided composition, Bridges Conference Proceedings, pp.277-284, 2006.

M. Andreatta, Calcul algébrique et calcul catégoriel en musique: aspects théoriques et informatiques, Le calcul de la musique, L. Pottier (éd.), Publications de l'université, pp.429-477, 2008.

J. Arnett and E. Barth, Generalizations of the Tonnetz: Tonality Revisited

G. Baroin, The Spinnen-Tonnetz: New Musical Dimensions in the 2D Network for Tonal Music Analysis, Mathematics and Computation in Music, 2015.
URL : https://hal.archives-ouvertes.fr/hal-02025837

G. J. Balzano, The Group-Theoretic Description of 12-Fold and Microtonal Pitch Systems, Computer Music Journal, vol.4, issue.4, 1980.

N. Biggs, E. Lloyd, and R. Wilson, Graph Theory, pp.1736-1936, 1986.

L. Bigo, M. Andreatta, J. L. Giavitto, O. Michel, and A. Spicher, Computation and Visualization of Musical Structures in Chord-Based Simplicial Complexes, Mathematics and Computation in Music. MCM 2013, vol.7937, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00925748

L. Bigo, D. Ghisi, A. Spicher, and M. Andreatta, Spatial transformations in simplicial chord spaces, Proceedings of the Joint International Computer Music Conference -Sound and Music Computing, pp.1112-1119, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01161081

L. Bigo and M. Andreatta, A geometric model for the analysis of pop music, Sonus -special issue on modelling in musical analysis, vol.35, pp.36-48, 2014.

L. Bigo, D. Ghisi, A. Spicher, and M. Andreatta, Representation of Musical Structures and Processes in Simplicial Chord Spaces, vol.39, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01263299

C. Brower, Paradoxes of Pitch Space, Music Analysis, vol.27, pp.51-106, 2008.

S. Cannas, S. Antonini, and L. Pernazza, On the group of transformations of classical types of seventh chords, Mathematics and Computation in Music, vol.10527, 2017.

S. Cannas and M. Andreatta, A Generalized Dual of the Tonnetz for Seventh Chords: Mathematical, Computational and Compositional Aspects, Bridges Conference Proceedings, 2018.

S. Cannas, Towards the history of the Tonnetz: from Euler to Mathematical Music Theory, 2019.

R. Caddeo, X. Hascher, P. Jehel, A. Papadopoulos, and H. Papadopoulos, Leonhard Euler -Écrits sur la musique, 2015.

M. J. Catanzaro, Generalized Tonnetze, vol.5, 2011.

E. Chew, Towards a Mathematical Model of Tonality. Ph.D. diss., MIT, 2000.

A. Childs, Moving Beyond Neo-Riemannian Triads: Exploring a Transformational Model for Seventh Chords, Journal of Music Theory, vol.42, issue.2, 1998.

R. Cohn, Maximally Smooth Cycles, Hexatonic Systems, and the Analysis of Late-Romantic Triadic Progressions, Music Analysis, vol.15, issue.1, 1996.

R. Cohn and N. Operations, Parsimonious Trichords, and their Tonnetz Representation, Journal of Music Theory, 1997.

R. Cohn, Introduction to Neo-Riemannian Theory: A Survey and a Historical Perspective, Journal of Music Theory, vol.42, issue.2, 1998.

A. Crans, T. M. Fiore, and R. Satyendra, Musical Actions of Dihedral Groups, American Mathematical Monthly, vol.116, issue.6, pp.479-495, 2009.

J. Douthett and P. Steinbach, Parsimonious Graphs: A Study in Parsimony, Contextual Transformation, and Modes of Limited Transposition, Journal of Music Theory, vol.42, issue.2, 1998.

L. Euler, Tentamen novae theoriae musicae ex certissimis harmoniae principiis dilucide expositae, Opera Omnia, Series, vol.3, p.1739

L. Euler, De harmoniae veris principiis perspeculum musicum repraesentatis, Opera Omnia, Series, vol.3, p.1774

T. M. Fiore and R. Satyendra, Generalized contextual groups, Music Theory Online, vol.11, 2005.

A. Forte, A Theory of Set-Complexes for Music, Journal of Music Theory, vol.8, issue.2, pp.136-183, 1964.

A. Forte, The Structure of Atonal Music, 1973.

W. Goebl and G. Widmer, On the use of computational methods for expressive music performance, Modern Methods for Musicology: Prospects, Proposals, and Realities, pp.93-113, 2009.

E. Gollin, Aspects of Three-Dimensional Tonnetze, Journal of Music Theory, vol.42, issue.2, 1998.

E. Gollin, Combinatorial and Transformational Aspects of Euler's Speculum Musicum, vol.37, 2007.

E. Gollin and A. Rehding, The Oxford Handbook of Neo-Riemannian Music Theories, 2011.

T. C. Hales, The Honeycomb Conjecture, p.25, 2001.

X. Hascher, A. Papadopoulos, and L. Euler, Mathématicien, physicien et théoricien de la musique, 2015.

T. Heath, A History of Greek Mathematics, Oxford at the Clarendon press, vol.2, 1921.

B. Hyer, Tonal Intuitions in Tristan und Isolde, 1989.

B. Hyer, Reimag(in)ing Riemann, Journal of Music Theory, vol.39, issue.1, 1995.

J. Hook, Uniform Triadic Transformations, Journal of Music Theory, vol.46, issue.1-2, pp.57-126, 2002.

R. J. Howarth, Dictionary of Mathematical Geosciences: With Historical Notes, 2017.

F. Jedrzejewski, Permutation Groups and Chord Tessellations, ICMC Proceedings, 2005.

F. Jedrzejewski, Mathematical Theory of Music, Collection Musique/sciences, IRCAM/Editions Delatour France, 2006.

F. Jedrzejewski, Generalized diatonic scales, Journal of Mathematics and Music, vol.2, issue.1, 2008.

Z. Juhász, A systematic comparison of dierent European folk music traditions using self-organizing maps, J. New Music Res., n, vol.35, pp.95-112, 2006.

G. J. Kayas, L'âme de l'univers et la musique dans le Timée de Platon (34 b et ss), Bulletin de l'Association Guillame Budé, pp.287-329, 1974.

B. Kerkez, Extension of Neo-Riemannian PLR-group to Seventh Chords, Culture, 2012.

P. Lascabettes, Homologie Persistante Appliqué à la Reconnaissance des Genres Musicaux, Master dissertation, 2018.

D. Lewin, Transformational techniques in atonal and other music theories, Perspectives in New Music, n.21, 1982.

D. Lewin, Generalized Musical Intervals and Transformations, 1987.

H. C. Longuet-higgins, Letter to a Musical Friend, The Music Review, vol.23, pp.244-248, 1962.

J. Mandereau, D. Ghisi, E. Amiot, M. Andreatta, and C. Agon, Z-Relation and Homometry in Musical Distributions, vol.5, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00664776

G. Mazzola, Gruppen und Kategorien in der Musik: Entwurf einer mathematischen Musiktheorie, Heldermannr, 1985.

G. Mazzola, Geometrie der Töne, 1990.

K. E. Naumann, Über die verschiedenen Bestimmungen der Tonverhältnisse und die Bedeutung des pythagoräischen oder reinen Quinten-Systems für unsere heutige Musik, p.1858

D. Meredith, Computational Music Analysis, 2016.

A. Von-oettingen, Harmoniesystem in dualer Entwickelung, p.1866

, Pappus d'Alexandrie, La collection mathematique, tr. Paul Ver Eecke, 1982.

S. Pasticci, Teoria degli insiemi e analisi della musica post-tonale, Rivista di Analisi e Teoria musicale, 1985.

H. Riemann, Die Natur der Harmonik, p.1882

H. Riemann, Handbuch der Harmonielehre, Breitkopf und Härtel, 1887.

H. Riemann, Musik-Lexikon, p.1894

H. Riemann, Ideen zu einer 'Lehre von den Tonvorstellungen, 1914.

J. J. Rotman, Advanced Modern Algebra, 2010.

D. Tymoczko, . Geometry, and . Music, , 2011.

D. Tymoczko, The Generalized Tonnetz, Journal of Music Theory, vol.56, issue.1, 2012.

M. T. Varro, On Agriculture, Loeb Classical Library, 1934.

M. Vogel, D. Musikschriften-leonhard, and . Eulers, Leonhardi Euleri Opera omnia sub auspiciis Societas scientiarum naturalium Helveticae, Orell Füssli, issue.3, p.1112, 1960.

A. Volk, F. Wiering, and P. Van-kranenburg, Unfolding the potential of computational musicology, Proceedings of ICISO, the Netherlands, pp.137-144, 2011.

A. Volk and A. Honingh, Mathematical and computational approaches to music: challenges in an interdisciplinary enterprise, Journal of Mathematics and Music, vol.6, issue.2, pp.73-81, 2012.

F. Wiering, Digital critical editions of music: A multidimensional model, Modern Methods for Musicology: Prospects, Proposals and Realities, pp.23-46, 2009.