invertible counterpoint

…Twelve-tone music of the 20th century in particular is based on the contrapuntal technique of inversion, inversion, and inversion of the inversion of the basic tone series. There is also a special counterpoint technique called invertible counterpoint. This is an advanced technique of composing in such a way that it is theoretically valid even if multiple voices are exchanged up or down. When the voice exchange is between two voices, it is called double counterpoint, and when it is between three voices, it is called triple counterpoint. …

*Some of the terminology explanations that mention "invertible counterpoint" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

…特に20世紀の十二音音楽は，基本音列の反行，逆行，反行の逆行という対位法的手法を基礎とするものである。　なお，対位法の特殊な手法に〈転回対位法invertible counterpoint〉と呼ばれるものがある。これは複数の声部を上下に交換しても理論的に成り立つように作曲する高度な技法で，声部の交換が2声部間で行われるものを〈二重対位法double counterpoint〉，3声部間で行われるものを〈三重対位法triple counterpoint〉などと呼ぶ。…

※「invertible counterpoint」について言及している用語解説の一部を掲載しています。

出典｜株式会社平凡社世界大百科事典 第２版について | 情報