【摘要】 文章从数理角度细致分析了阿伦.福特的音级集合的原型及向量表三音集合形成的原理。利用几何学中三角形的全等特性形象地阐明了音集集合的各种同构异形体,以及形成的原因和类别。通过对同构异形体的分析,得出一种简易的初始音级计算方法。对音集集合表中标注的移位起因及移位次数、向量等问题进行一定的解释。更多还原

【Abstract】 From viewpoint of mathematical theory, the paper analyzed formative principle of the three pitches-class set in vectors table as well as the prime form of pitches-class by Allen Forte. To utilize the congruence characteristic of triangle in geometry, the writer explained the various sets with the same structure in pitches-class, the formative reasons and sorts. Through the analyzed the sets with the same structure and different shape, it educed a facility calculating method for prime pitches. The writer also explained some issues of prime forms and vectors of pitches-class sets with the vectors, transposition origin and times labeled in a certain way.更多还原