


Tiling
problems in music theory. 
Tiling problems in music theory.
In G. Mazzola, Th. Noll, and E. LluisPuebla, editors, Perspectives
in Mathematical and Computational Music Theory, pages 153168.
epOs Music, Osnabrück,
2004.
Abstract: In mathematical music theory we often come
across various constructions on Z_{n}, the set of residues
modulo n for n>=2. Different objects constructed on
Z_{n} are considered to be equivalent if there exists a
symmetry motivated by music which transforms one object into the
other one. Usually we are dealing with cyclic, dihedral, or affine
symmetry groups on Z_{n}. Here we will compare partitions
of Z_{n}, sometimes also called mosaics, and rhythmic
tiling canons on Z_{n}. Especially we will investigate
regular complementary canons of maximal category in more
details.
harald.fripertinger "at" unigraz.at, February 15,
2018






Tiling
problems in music theory. 

