Abstract
Currently, there is a significant lack of quantitative and systematic studies about tuning systems in Spanish traditional music. The three-hole flute is especially interesting in this regard. The pitch of these kinds of instruments is highly determined by their morphology. The fact that they only contain three holes means that they are much more limited than other instruments in this regard. Due to these morphologic conditioning factors, the three-hole flute maintains traditional tuning systems predating the widespread use of equal temperament. This article presents a quantitative study of the tuning system of three-hole flutes from the Salamanca province in order to establish tuning parameters they had in common, requiring both a musicological analysis and a physical-mathematic study. Flutes from two collections have been recorded: the Joaquin Diaz collection and the Cid Cebrian collection. A spectral analysis has been applied to these samples in order to quantitatively determine each of their tones and, more importantly, the intervalle relation between them. A descriptive statistical study was then carried out to determine common tuning parameters.
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