In this paper, pitch-class sets are analyzed in terms of their intervallic structures and those related by transposition are called a set type. Then, non-inversionally-symmetrical set classes are split into two set types related by inversion. As a higher version of the interval-class vector, I introduce the trichord-type vector, whose elements are the number of times each trichord type is contained in a set type, as well as a trichord-class vector for set classes. By using the interval-class, trichord-class, and trichord-type vectors, a list of set classes and types is developed, including, apart from the usual information, the intervallic structures and the trichord-type vectors. The inclusion of this last characteristic is the most significant difference with respect to previously published lists of set classes. Finally, a compact periodic table containing all set classes is given, showing their main characteristics and relationships at a glance.

在本文中，音级集从音程结构的角度进行分析，通过换位相关的音级集称为集类型。然后，非反演对称集合类被分成两个通过反演相关的集合类型。作为区间类向量的更高版本，我引入了三弦类型向量，其元素是每个三弦类型在集合类型中包含的次数，以及用于集合类的三弦类向量。通过使用音程类、三和弦类和三和弦类型向量，开发了一组类和类型的列表，除了通常的信息外，还包括音程结构和三和弦类型向量。与以前发布的集合类列表相比，包含最后一个特征是最显着的差异。最后，