The Limited and The Limitless: Harmonic Voltas and Puns in the Third Movement of Ben Johnston’s Seventh String Quartet

IF 1.6 1区 艺术学 0 MUSIC MUSIC THEORY SPECTRUM Pub Date : 2023-10-27 DOI:10.1093/mts/mtad022
Laurence Sinclair Willis
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Abstract

Abstract Extended just intonation confronts us with musical problems arising from the sheer array and variety of pitch relationships that can be written, played, and heard. Through an analysis of Ben Johnston’s Seventh String Quartet as a case study, this essay addresses the diversity of these pitch relationships by suggesting a three-way categorization of just intonation ratios: primary intervals (simple integer ratios), ectopic intervals (ratios with no primary interval analogue), and intermediary intervals (ratios with a close primary interval analogue). I suggest a listening strategy based on the categorization resulting in two analytical models. A voltaic analysis recognizes changes in the pitch domain indicated by the differences between primary and intermediary intervals. A pitch pun analysis emphasizes the small magnitude of the differences between primary and intermediary intervals and the slow drift away from a secure sense of pitch place. Finally, I combine these views to compare the two analytical strategies as applied to the last measures of Johnston’s Seventh String Quartet and speculate on the implications of these strategies for hearing and conceiving of pitch intervals.
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有限与无限:本·约翰斯顿第七弦乐四重奏第三乐章中的和声伏特和双关语
扩展音准是我们面对的一个音乐问题,它是由各种各样的音高关系所引起的,这些音高关系可以被书写、演奏和听到。本文以本·约翰斯顿的《第七弦乐四重奏》为例,对音高关系的多样性进行了分析,提出了三种音高比例的分类:初级音程(简单整数比例)、异位音程(没有初级音程类似的比例)和中间音程(具有接近初级音程类似的比例)。我建议一种基于分类的倾听策略,从而产生两种分析模型。伏打分析识别的变化,在基音域显示的差异之间的主要和中间间隔。音高双关分析强调了主要音程和中间音程之间的微小差异,以及逐渐偏离稳定的音高位置。最后,我将这些观点结合起来,比较应用于约翰斯顿第七弦乐四重奏最后小节的两种分析策略,并推测这些策略对听力和构思音程的影响。
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来源期刊
CiteScore
2.30
自引率
20.00%
发文量
15
期刊介绍: A leading journal in the field and an official publication of the Society for Music Theory, Music Theory Spectrum features articles on a wide range of topics in music theory and analysis, including aesthetics, critical theory and hermeneutics, history of theory, post-tonal theory, linear analysis, rhythm, music cognition, and the analysis of popular musics. The journal welcomes interdisciplinary articles revealing intersections with topics in other fields such as ethnomusicology, mathematics, musicology, philosophy, psychology, and performance. For further information about Music Theory Spectrum, please visit the Society for Music Theory homepage.
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