This paper reinterprets my 1992 analysis of the scherzo of Ludwig van Beethoven’s Ninth Symphony using more recently introduced modes of representation: ski-hill graphs, ski-path networks, and metric cubes. It provides a tutorial on the three metric modes of representation, while using those modes to reveal different aspects of the scherzo’s metric form. It presents evidence in support of the proposition that slow pulses and deep hypermeter can “exist,” be aesthetically relevant, and have analytical value.

中文翻译：

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贝多芬第九交响曲谐谑曲乐章中的深层超音速图解

本文使用最近引入的表示模式：滑雪山图、滑雪路径网络和度量立方体，重新解释了我 1992 年对路德维希·范·贝多芬《第九交响曲》谐谑曲的分析。它提供了有关三种度量表示模式的教程，同时使用这些模式来揭示谐谑曲度量形式的不同方面。它提供了支持慢脉冲和深超测量仪可以“存在”、具有美学相关性并且具有分析价值这一命题的证据。