A RIEMANNIAN LYDIAN MANIFOLD AND THE PRINCIPLE OF AXIOMATIC CHANGE IN MUSICAL COMPOSITION

A_RIEMANNIAN_LYDYAN_MANIFOLD_AND_THE_PRINCIPLE_OF_CHANGE_IN_MUSICAL_COMPOSITION

The Riemannian Lydian Manifold of Figure 1 is a quadratic geometrical figure representing a musical Lydian configuration of seven notes, which, when played in the following succession, G, B, D, F, D, B, D …, makes your mind hear the coming of a new series of different notes from the future. Such new notes could not come into existence otherwise than through the joyous closure of the Good.

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