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July 6, 2026Music Analysis0 citations

On Fingerboard Shapes, Violinistic Chord Spacings and Instrumental Affordances in the Adagio of J. S. Bach's Violin Sonata in G minor, BWV 1001

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LFLeah Frederick

Key Points

  • The study aims to explore the relationship between violin chord shapes and their playability within pitch space, specifically focusing on Bach's Adagio.
  • Developed a set-theoretically inspired approach to connect chord shapes and pitch spacings.
  • Constructed a space visualizing relationships between prime forms of triple stops.
  • Examined guidelines from instrumentation treatises to relate playability and chord location.
  • Identified how the structure of the instrumental space influences melodic and harmonic design.
  • Demonstrated how Bach's choices of chord shapes interact with thematic material in the Adagio.
  • Illustrated a visualisation of compositional potential based on violinistic chord spacings.

Abstract

ABSTRACT This article presents a study of multiple‐stop chords within the instrumental space of the violin. Drawing on Timothy Koozin's and Jonathan De Souza's studies of the fretboard, I develop a set‐theoretically inspired approach to examine the connection between the chord shapes on a violin's fingerboard and the corresponding spacings that they produce in pitch space. This formalisation leads to the construction of a space that depicts relationships between all possible prime forms of triple stops. I interpret this space as a visualisation of compositional potential, drawing on guidelines from instrumentation treatises to examine how the playability of chords relates to their location within the space. This synergy between instrument and chord spacing is adopted as a lens through which to study how Johann Sebastian Bach responds to the instrumental affordances of the violin in the Adagio of his Violin Sonata in G minor, BWV 1001. The analysis explores the implications that such violinistic chord shapes have on the return and development of thematic material within the movement, ultimately demonstrating how the structure of the instrumental space can interact with aspects of large‐scale melodic, harmonic, and formal design.

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Cite This Study

Leah Frederick (2026) studied this question.

synapsesocial.com/papers/6a4b453d997070ff83b5b227https://doi.org/10.1111/musa.70018
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