From actantial model to conceptual graph: Thematized action in John Cage's 0′00′(4′33′′No. 2)

IF 0.5 2区 数学 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Journal of Mathematics and Music Pub Date : 2020-05-29 DOI:10.1080/17459737.2020.1760953
Michael D. Fowler
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引用次数: 1

Abstract

In this article, I build an actantial model, , of John Cage's 1962 indeterminate work (4 33 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 (4 33 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.
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从现实模型到概念图:约翰·凯奇的《0’00’(4’33’)》中的主题化行动。2)
在本文中,我为约翰·凯奇(John Cage) 1962年的不确定作品(433 No. 2)建立了一个实际模型。为了进一步研究格莱马斯的欲望、知识和权力的实际轴,我生成了一个本体论,通过关系和概念的层次来记录模型的事实。这允许一个概念图(CG),描述分数的指令和它的行为。提取这些子图可以让我们对凯奇在乐谱中指示的含义进行合理的论证,特别是作曲家提到的“对他人的义务”。通过概念图规则,我提供了一个框架,用于生成(4 33 No. 2)的乐谱信息解释结构,该框架基于一些关键条件,这些条件映射了作品的行动者及其与作品叙事展开的关系。
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来源期刊
Journal of Mathematics and Music
Journal of Mathematics and Music 数学-数学跨学科应用
CiteScore
1.90
自引率
18.20%
发文量
18
审稿时长
>12 weeks
期刊介绍: Journal of Mathematics and Music aims to advance the use of mathematical modelling and computation in music theory. The Journal focuses on mathematical approaches to musical structures and processes, including mathematical investigations into music-theoretic or compositional issues as well as mathematically motivated analyses of musical works or performances. In consideration of the deep unsolved ontological and epistemological questions concerning knowledge about music, the Journal is open to a broad array of methodologies and topics, particularly those outside of established research fields such as acoustics, sound engineering, auditory perception, linguistics etc.
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