层级集合理论

Hierarchical set theory

音乐家们经常有层级地使用类似音阶的集合,一个集合嵌入到下一个集合中,并在每一个层级都运用移位和倒影。一种特别常见的技巧是用一个层面上的变换抵消由和弦自身音符构成的内在音阶中的类似变换。

Musicians often operate with a hierarchy of scale-like collections, each embedded within the next, and with transposition and inversion available at every level. A particularly common technique is to counteract a transformation at one level with an analogous transformation in the intrinsic scale consisting of a chord’s own notes.