On a lattice of tetrachords

Rok, strany: 1999, 283 - 294

The importance of considering of tetrachords lies on the fact that they are the simplest structured tone systems in the music theory. We show that the set of all tetrachords is naturally structured as a lattice. There are $156$ superparticular tetrachords, where nine of them can be nontrivaly expressed in the form of the geometrical generalized sequence. We show how these $9$ tetrachords construct tone systems of $12$ or $5$ notes (i.e., gualitative musical degrees).

ISO 690:

Haluška, J., Riečan, B. 1999. On a lattice of tetrachords. In Tatra Mountains Mathematical Publications, vol. 16, no.2, pp. 283-294. 1210-3195.

APA:

Haluška, J., Riečan, B. (1999). On a lattice of tetrachords. Tatra Mountains Mathematical Publications, 16(2), 283-294. 1210-3195.