The Euclidean algorithm (which comes down to us from Euclid's Elements) computes the
greatest common divisor of two given integers. It is shown here that the structure of the …

Flamenco is a music tradition from Southern Spain that attracts a growing community of
enthusiasts around the world. Its unique melodic and rhythmic elements, the typically …

Music similarity underlies a large part of a listener's experience, as it relates to familiarity and
associations between different pieces or parts. Rhythmic similarity has received scant …

Many problems concerning the theory and technology of rhythm, melody, and voice-leading
are fundamentally geometric in nature. It is therefore not surprising that the field of …

In this chapter we approach flamenco and Arab-Andalusian vocal music through the
analysis of two representative pieces. We apply a hybrid methodology consisting of audio …

The article presents mathematical problems related to flamenco music. Explored are musical
properties of flamenco, flamenco rhythms and simplification and complexity of flamenco …

The process of mapping a ternary rhythm of, say 12 pulses, to a binary rhythm of 16 pulses,
such that musicologically salient properties are preserved is termed binarization. By analogy …

NTIL recent times, theoretical analyses devoted to flamenco music were scarce, and even
these have tended to consist of publications that never obtained widespread distribution and …

Los lazos entre matemáticas y música existen, al menos, desde que los antiguos griegos
comenzaron a formalizar los aspectos matemáticos de la música. En este artículo …

El marco no podía más adecuado para estudiar la relación música-matemáticas-tradición. A
los medios tecnológicos de la Universidad de Yale, se añadía la posibilidad de visitar la …