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From actantial model to conceptual graph: Thematized action in John Cage's 0′00′(4′33′′No. 2)
Journal of Mathematics and Music ( IF 1.1 ) Pub Date : 2020-05-29
Michael D. Fowler

In this article, I build an actantial model, M, of John Cage's 1962 indeterminate work 000 (433 No. 2). To further investigate Greimas' actantial axes of desire, knowledge and power, I generate an ontology, O, that records the facts of the model through hierarchies of relations and concepts. This allows for a conceptual graph (CG), C, that describes the score's instructions and its actants. Extracting subgraphs of C 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 R, I offer a framework for generating the structure of a score-informed interpretation of 000 (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, 中号,约翰·凯奇(John Cage)1962年的不确定作品 000 (433 2号)。为了进一步研究Greimas的欲望知识力量的行动轴,我生成了一个本体,Ø,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),C,它描述了乐谱的说明及其参与者。提取的子图C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[R,我提供了一个框架,可用于生成分数通知解释的结构000 (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。

更新日期:2020-05-29
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