Titlebook: Mathematics and Computation in Music; 7th International Co Mariana Montiel,Francisco Gomez-Martin,Octavio A. Conference proceedings 2019 S

受人支配

现任者

champaign

Contrapuntal Aspects of the Mystic Chord and Scriabin’s Piano Sonata No. 5etries in the Fuxian, mystic, Ionian and representatives of the other three possible counterpoint worlds in two passages of the work, which provide evidence of a qualitative change between the Fuxian and the mystic worlds in the sonata.

nonsensical

Tropical Generalized Interval Systemsstent relations between musical elements in an original unified structure. Some distinctive examples of extensions of well-known infinite GIS for lattices are then offered and the impossibility to build tropical GIS in the finite case is finally proven and discussed.

ARCHE

From Schritte and Wechsel to Coxeter Groupsg chord sequences. We compare the system of transformations in . with the system of Schritte and Wechsel introduced by Hugo Riemann in 1880. Finally, we consider the point reflection group as it captures well the transition from Riemann’s infinite Tonnetz to the finite Tonnetz of neo-Riemannian theory.

减至最低

Exploring the Syntonic Side of Major-Minor Tonalitytween the triadic modes and the pseudo-classical modes. The syntonic projection looks unfamiliar at first sight, but closer inspection shows that these modes provide a common ground for the natural, harmonic, and melodic manifestations of both the Major and the Minor modes.

先行

Embedded Structural Modes: Unifying Scale Degrees and Harmonic Functionsgs of structural modes is given. In four analytical examples we study the interaction of relative minor and major modes within an encompassing diatonic collection. Finally we discuss alternative possibilities for the interpretation of the diminished fifth as a fundament progression.

neutral-posture

大炮

Custodian

Groupoids and Wreath Products of Musical Transformations: A Categorical Approach from poly-Klumpenhon ordinary sets of musical objects. We show how groupoids of musical transformations can be constructed, and provide an application of their use in post-tonal music analysis with Berg’s .. In a second part, we show how these groupoids are linked to wreath products through the notion of groupoid bisections.