Handel at Canons

Sturmian Canons

Sturmian words are balanced, almost periodic, self-similar and hierarchical infinite sequences that have been studied in music theory in connection with diatonic scale theory and related subjects.[3][5] Carey and Camplitt 1996 give a brief but suggestive rhythmic example in which these properties are made manifest in a particularly visceral manner. The present paper expands upon this example, c...

Warenkorbanalyse im Online-Handel

Asymmetric Rhythms and Tiling Canons

A musical rhythm pattern is a sequence of note onsets. We consider repeating rhythm patterns, called rhythm cycles. Many typical rhythm cycles from Africa are asymmetric, meaning that they cannot be broken into two parts of equal duration. More precisely: if a rhythm cycle has a period of 2n beats, it is asymmetric if positions x and x + n do not both contain a note onset. We ask the questions ...

Rhythmic canons and Galois theory

The study of rhythmic canons by mathematicians with musical interest has given rise to unexpected connections to non trivial mathematical problems. The author tried a new approach based on a Galoisian interpretation of the novel results and concepts of Coven and Meyerowitz [4]. Extending this in a second part to finite fields, he concludes with unexpected results. 1 Rhythmic canons, tiling the ...

The Canons of Constitutional Law

Academic and political debates about what texts are canonical in the liberal arts have been occurring for some time. In this Commentary, Professors Balkin and Levinson discuss canons and canonicity in the study of law in general and of constitutional law in particular. Canons, they contend, are not simply collections of texts. Skills, approaches, forms of argument, standard examples, and even s...