Klumpenhouwer 网络

Klumpenhouwer 网络（K-net）由亨利·克伦彭豪尔（Henry Klumpenhouwer）提出、大卫·列文（David Lewin）形式化，以音类为节点、T/I 变换为有向边，并以网络同型比较多个音类集合.

强同型 ⟨T0⟩；正同型 ⟨Tj⟩；负同型 ⟨Ij⟩. 节点对应与网络构型属于分析选择；同型成立不表示该关系唯一或必然具有音乐显著性. 1, 2

参考文献

  1. LEWIN D. Klumpenhouwer networks and some isographies that involve them[J]. Music Theory Spectrum, 1990, 12(1): 83–120.
  2. BUCHLER M. Reconsidering Klumpenhouwer networks[J]. Music Theory Online, 2007, 13(2).
  3. POPOFF A, ANDREATTA M, EHRESMANN A. Relational poly-Klumpenhouwer networks for transformational and voice-leading analysis[J]. Journal of Mathematics and Music, 2018, 12(1): 35–55.
  4. POPOFF A. Networks in transformational music theory (1)；(2).