Symbolic dynamical scales: modes, orbitals, and transversals
Por:
Gomez Aiza, Ricardo
Publicada:
2 ene 2023
Ahead of Print:
1 ago 2021
Resumen:
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.
Filiaciones:
Gomez Aiza, Ricardo:
Aiza, RG (Corresponding Author), Univ Nacl Autonoma Mexico, Circuito Exterior, Inst Matetmat, Ciudad Univ, Ciudad De Mexico, Mexico
Univ Nacl Autonoma Mexico, Circuito Exterior, Inst Matetmat, Ciudad Univ, Ciudad De Mexico, Mexico
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