论文标题
符号动态量表：模式，轨道和横向
Symbolic dynamical scales: modes, orbitals, and transversals
论文作者
论文摘要
我们研究通过第一个符号规则从符号动力学中的移位空间获得的音乐量表的类别，该符号规则在任何$ n $ -TET调谐系统中都产生量表。这些模式被认为是在语言上循环转移动作的轨道等效类别的要素，我们研究了它们的轨道和横向。我们介绍了生成功能的明确表述，使我们能够推断出由顶点变化产生的音乐量表的轨道和横向尺寸，特别是对于所有$ n $，尤其是对于12 TET调音系统。
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.
