#4195. Symbolic dynamical scales: modes, orbitals, and transversals

September 2026publication date
Proposal available till 27-05-2025
4 total number of authors per manuscript0 $

The title of the journal is available only for the authors who have already paid for
Journal’s subject area:
Music;
Applied Mathematics;
Computational Mathematics;
Modeling and Simulation;
Places in the authors’ list:
place 1place 2place 3place 4
FreeFreeFreeFree
2510 $1340 $1170 $1000 $
Contract №4195.1 Contract №4195.2 Contract №4195.3 Contract №4195.4
1 place - free (for sale)
2 place - free (for sale)
3 place - free (for sale)
4 place - free (for sale)

More details about the manuscript: Arts & Humanities Citation Index or/and Social Sciences Citation Index
Abstract:
We study classes of musical scales obtained from shift spaces in symbolic dynamics through the first symbol rule, which yields scales in any n-TET tuning system. The modes are thought as elements of orbit equivalence classes of cyclic shift actions on languages, and we study their orbitals and transversals. We present explicit formulations of the generating functions that allow us to deduce the orbital and transversal dimensions of classes of musical scales generated by vertex shifts, for all n, in particular for the 12-TET tuning system.
Keywords:
Analytic combinatorics; classification; generating functions; scales; symbolic dynamics

Contacts :
0