Table2. 2. Each note consists of three partials. If the sequence is played ascending, then
the? rst virtual pitch tends to be perceived, whereas if played descending, the second, lower …

How can discrete pitches and chords emerge from the continuum of sound? Using a
quantum cognition model of tonal music, we prove that the associated Schrödinger equation …

An intuitive model of classical guitar intonation is presented that includes the effects of the
resonant length of the fretted string, linear mass density, tension, and bending stiffness. An …

Classical algorithms for principal and intermediate continued fraction convergents provide
convenient ways of obtaining information about musical scales. It is shown that the principal …

In this paper, we examine relationships between signature transformations, Filtered Point-
Symmetry (FiPS), and voice-leading spaces, with a strong emphasis on the role of scalar …

We develop formalism for generating pure-tone systems that best approximate the
modulation/transposition properties of equal-tempered scales. We define six measurements …

Een woord van dank aan de mensen die er aan bijgedragen hebben dat dit proefschrift nu is
zoals het is. Ik wil graag mijn promotor en begeleider Rens Bod bedanken, allereerst voor …

Using recent developments in music theory, which are generalizations of the well-known
properties of the familiar 12-tone, equal-tempered musical scale, an approach is described …

Aims. The present study had two aims. First, we wanted to get a comprehensive overview of
the relative amounts of consonance and dissonance perceived among the harmonic …

A dissonância sensorial é um conceito que restringe a noção da dissonância à sua
dimensão psicofísica, por meio do fenômeno psicoacústico conhecido como rugosidade …