Journal of Mathematics and Music ( IF 1.1 ) Pub Date : 2020-05-29 Michael D. Fowler
In this article, I build an actantial model, , of John Cage's 1962 indeterminate work (433 No. 2). To further investigate Greimas' actantial axes of desire, knowledge and power, I generate an ontology, , that records the facts of the model through hierarchies of relations and concepts. This allows for a conceptual graph (CG), , that describes the score's instructions and its actants. Extracting subgraphs of then allows for reasoned arguments about the implications of Cage's instructions in the score, and in particular, the composer's reference to “an obligation to others.” Through a conceptual graph rule , I offer a framework for generating the structure of a score-informed interpretation of (433 No. 2) that is based on a number of key conditionals that map the actants of the piece and their relation to the unfolding of the work's narrative.
中文翻译:
从行动模型到概念图:约翰·凯奇(John Cage)0′00′(4′33′′No.2)中的主题动作
在本文中,我建立了一个行动模型, ,约翰·凯奇(John Cage)1962年的不确定作品 (433 2号)。为了进一步研究Greimas的欲望,知识和力量的行动轴,我生成了一个本体,,它通过关系和概念的层次结构记录了模型的事实。这允许使用概念图(CG),,它描述了乐谱的说明及其参与者。提取的子图然后就分数中Cage指示的含义,尤其是作曲家对“对他人的义务”的提法提出合理的论据。通过概念图规则,我提供了一个框架,可用于生成分数通知解释的结构 (433 No. 2),它基于许多关键条件,这些条件映射了作品的参与者及其与作品叙事展开的关系。