Musical Form and Perception

Related lectures (32)

Page 2 of 4

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers harmonic sequences principles and examples, including applied dominants and double preparation.

Covers the process of converting handwritten entries into text and sharing mathematical equation rules.

Explores sound waves, timbre, and music composition through the works of Stockhausen and Penderecki, analyzing harmonic and inharmonic sounds.

Explores Gustav Mahler's symphonies, focusing on his unique style and the conceptual depth of specific works.

Introduces the basics of finite element modeling for dynamics and discusses the Newmark method for time integration.

Covers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.

Covers the Finite Element Method, discussing the derivation of the equation of motion and exploring mass and stiffness matrices.

Explores converting handwritten entries and drawings into text.

Covers differential forms, invariant measures, and integration on manifolds with examples and illustrations.