Browsing by Subject "Just Intonation"

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    La afinación justa en el trombón y la notación microtonal de Manfred Stahnke: análisis interpretativo y estructural de beating.
    (InstrumentUM, 2026) Escorihuela, Guillem; Marín, Antonio; Sin departamento asociado
    This article examines Beating (1987) by Manfred Stahnke, a trio for trombones that stands as one of the most significant examples of applying just intonation and microtonal notation to brass instruments. The study combines quantitative and qualitative approaches to analyse the work’s acoustic structure, intervallic organisation, beating behaviours, the structural role of glissandi and the presence of difference tones as mechanisms for auditory verification. The comparison between the 1999 manuscript and the revised 2013 edition reveals a process of graphical refinement aimed at improving clarity and performative functionality without altering the acoustic foundations of the work. The intervallic analysis highlights the coexistence of two complementary layers: the equal-tempered system as a point of reference and natural proportional relationships as the structural engine. This duality allows the piece to traverse different acoustic regions while maintaining global coherence. Quantitative results confirm the internal consistency of Stahnke’s system, while the use of difference tones and strategic glissandi demonstrates its empirical verifiability and practical effectiveness. Overall, Beating emerges as an acoustic laboratory in which notation, sound physics and instrumental practice converge, offering a model of interpretation grounded in active listening and a deep understanding of natural tuning.