How and why do timpani sound the way they do — and how can we make them sound better?
This deceptively simple question launched over four decades of research, experimentation, and discovery, culminating in The Well-Tempered Timpani: In Search of the Missing Fundamental, now fully revised and expanded in this 2026 edition.
Unlike strings, winds, and brass, timpani do not naturally produce the harmonic overtones that allow instruments to blend seamlessly in an ensemble. The circular vibrating membrane generates inharmonic partials, frequencies that refuse to align with the musical expectations of the human ear. And yet, a finely tuned timpani can sing alongside a cello section with warmth and clarity. How?
The answer lies in tempering: the careful adjustment of the drumhead so that a select group of “preferred modes” fall into near-harmonic alignment, allowing the ear to construct a pitch that isn’t physically present, the missing fundamental of the title.
This pioneering WEBook, part textbook, part scholarly inquiry, part practical manual, bridges the gap between acoustic science and the art of timpani performance. From the physics of membrane vibration to the psychoacoustics of pitch perception, from historical studies by Rayleigh, Benade, and Rossing to the legendary ear-based clearing methods of Cloyd Duff, the book offers a comprehensive exploration of what makes timpani tick.
But this is more than theory. Step-by-step chapters guide readers through the practical process of mounting and tempering heads, with interactive labs, vibrating drumhead simulators, and links to companion resources, including the extended study The Quantum World of Timpani Pitch.
Whether you’re a percussion student seeking deeper understanding, a professional timpanist refining your craft, a conductor curious about how timpani project pitch, or an educator looking for fresh ways to teach the instrument, The Well-Tempered Timpani invites you into a world where physics meets artistry, and where the search for the missing fundamental reveals the hidden voice of one of the orchestra’s most essential instruments.